this material is taken from net.i found there are some mistakes. we correct them and solve them in class. come to class with this material.
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1. P(x)=(x^2012+x^2011+x^2010+…...+x+1)^2-x^2012
Q(x)=x^2011+x^2010+…+x+1
The remainder when P(x) is divided by Q(x) is ?
2. In a stream running at 2 kmph, a motorboat goes 6 km upstream and back again to the starting point in 33 minutes. Find the speed of the motorboat in still water ?
3. Directions for Q. 1 to Q. 5: Refer the data:
J, K, L, M and N collected stamps. They collected a total of 100 stamps. None of them collected less than 10.
No two among them collected the same number.
(i) 3 collected the same number as K and M together.
(ii) L collected 3 more than the cube of an integer
(iii) The no. Collected by J was the square of an integer.
(iv) Total no. Collected by K was either the square or cube of an integer.
1. The no. Collected by J was:
(1) 27 (2) 49 (3) 36 (4) 64
2. The no. Collected by K was:
(1) 16 (2) 27 (3) 25 (4) 36
3. The difference of numbers collected by L & M was:
(1) 3 (2) 2 (3) 5 (4) 9
L=12, N=11, J=27, M=14, K=36
4. A man can row 6 km/hr. in still water. If the speed of stream is 2km/hr., it takes him 3 hours to row to a place and back. How far is the place?
5. F(n) is a function...where f(f(n))+f(n)=2n+3.
F(n)=0;find f(2012) ?
6. How many vehicle registration plate numbers can be formed with digits 1,2,3,4,5(no digits being repeated)if it is given that registration number can have 1 to 5 digits ?
Options: 205 100 325 105
7. You can have registration plates of 5,4,3,2 or 1 digits
So, it's 5*4*3*2*1 + 5*4*3*2 + 5*4*3 +5*4 + 5
=120 + 120 + 60 + 20 +5
=> 325
8. A merchant buys 20kg of wheat at rs.30.00 per kg and 40kg wheat at rs.25.00 per kg.He mixes them and sell one third of the mixture at rs.26.00 per kg. The price at which the merchant should sell the remaining mixture so that he may earn a profit of 25% on his whole outlay is
Total cp = 20 * 30 + 40*25= 1600
Sp = 125/100 * 1600= 2000
Sp for 20kg mix = 26*20 =520
Rem sp = 2000-520 = 1480
As this sp is for 40 kg = 1480 / 40 = Rs37
9. Four friends namely Rahul, Ravi, Rajesh and Rohan contested for a dairy milk chocolate. To decide which friend will get the chocolate they decided to throw two dice. Every friend was asked to choose a number and if the sum of the numbers on two dice equals that number, the concerned person will get the chocolate. Rahul's choice was7, Ravi's choice was 9, Rajesh's choice was 10 and Rohan's choice was 11. Who has the maximum probability of winning the amount?
A) Rahul b) Ravi c) Rajesh d) Rohan
10. Messrs. Siva Constructions, leading agents in Chennai prepared models of their lands in the shape of a rectangle and triangle. They made models having same area. The length and width of rectangle model are 24 inches and 8 inches respectively. The base of the triangle model is 16 inches. What is the altitude of triangle model from the base to the top?
A) 24 inches b) 8 inches c) 20 inches d) 32 inches
If h is the height of triangle model, then 24*8 = 16*h/2 h= 24 inches
11. In month of jan 4 thursday and 4 sunday then on 1st jan of that month which willbe the day?
1. Monday
2. Friday
3.saturday
4. Wednesday
12. There is a 12*6 grid...grid contains 1*1 squares. What is d total number of squares..(consider 1*1,2*2,3*3,4*4,5*5,6*6 size squares as well).
13. 7,5,9,12,18,36,47,72,?
14. 5, 9, 12, 18, 26, 36, 47, 72, _?
It is 5 ...... 12....... 26......... 47
12= 5+7
26= 12+2×7
47=26+3×7
Next is 47+4×7=75
And 9, 18, 36, 72 hence next 144
Therefore 5, 9, 12, 18, 26, 36, 47, 72, 75, 144
15. F(x)=f(f(x))=f(x^2)....how many such functions with degree >2 exist
16. The length and breadth of a field is 300x400ft, if there are 3 ants on average per square inch of field, find the approximate number of ants in field
As 300 ft=3600 inch and 400 ft=4800 inch.then area in sqr inch=17280000
1 sqr inch need 3 ant hence 17280000 sqr inch need 3*17280000 ants
17. The diagonal of a square is twice the side of equilateral triangle the ratio of Area of the Triangle to the Area of Square is?
A) 3:8
B) 2:5
C) 3:6
D) 2:4
Ratio = sqrt3*a^2/8a^2....i.e sqrt3/8
18. A, B COMMON TO ALL THREE. THEN ATLEAST 1 ELEMNT COMMON TO 2 IE X1,X2,X2,X3,X3,X1. FINDMINIMUM ELEMENTS IN EACH GROUP.
ANSWER IS 4.
19. There are three dice, threw 3 times probability of getting 10 is ?
Possible event.......(1,3,6)(1,4,5)(1,5,4)(1,6,3)(2,2,6)(2,3,5)(2,4,4)(2,5,3)(2,6,2)(3,1,6)(3,2,5)(3,3,4)(3,4,3)(3,5,2)(3,6,1)(4,1,5)(4,2,4)(4,3,3)(4,4,2)(4,5,1)(5,1,4)(5,2,3)(5,3,2)(5,4,1)(6,1,3)(6,2,2)(6,3,1)
Total 27 possible events
Given dice is thrown 3 times
So probability is ..........3*27/216
20. What is the probability of throwing 3 dices to get a sum of 10?
21. Raj tossed 3 dices and there results are noted down then what is the probability that raj gets 10?
A) 1/72
B) 1/9
C) 25/216
D)1/8
27/216 than ans is 1/8
22. From 52 cards 3 cards drawn randomly prob of getting 1 spade , 1 red queen and 1 black king??
13C1*2C1*2C1/52C3 = 0.00235
23. A) in how many ways can 3 postcards can be posted in 5 postboxes?
B) in how many ways can 5 postboxes hold 3 post cards?
A)5^3
B)3^5
24. The climb from foot to top of a hill 800 meters, Jack can climb at 16 meters per minute and rests for two minutes or 20meters per 2 minutes and rest for one minute. Paul can climb at 10 meters per one minute and rest for one minute or16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
A) 41 b) 42 c) 40 d) 43
Total=800m
16m per min means for 1m=800/16 =50min to climb
10m per min means for 1m=800/10=80min to climb for paul.....The total time is 2hours==120min....so, time taken for rest by paul is 120-80=40min
25. Two cyclist begin training on oval racecourse at same time the professional cyclist complete each lap in 4 sec noves take 6 minute how many minute after start will both cyclist pass at exactly same spot where they begin to cycle(a)10(b)8(C)14(D)12
26. Two points r there two person from A running to same direction with speed 20 km/hr. & 15/hr. respectively and from other end another person running to opposite direction with 30 km/hr.? Distance between them 100 km??At what time they will meet?
27. Tim and Elan are 90km away from each other .they are starting to move towards eachother simultaneously ,tim at speed 10kmph and elect at 5kmph ,,if every hr. they double the speed ,what is distance that tim will pass until he meets elan? (60)
28. There are 10 stepping stones numbered 1 to 10.a fly jumps from 1st stone as follows: every minute it jumps to the 4th stone from where it started -that is from 1st it would go to 5th, from 5th it would go to 9th, from 9th it would go to 3rd, etc .where would the fly be at 60th minute if it starts at 1?
Answer 1
1minute=1+4=5
1 minute=1+4=5step
2 minute=5+4=9step
3 minute=9+4=3step
4 minute=3+4=7step
5 minute=7+4=1step the same process is repeated 12*5 times hence at 60th minute fly would be at 1st step
29. Given the following information who is youngest?
C is younger than a; a is taller than b;
C is younger than d;
C is older than b;
B is taller than c;
A is older than d
(1)d (2)b (3)a (4)c
30. 1!+2!+3!...+50! Divided by 5! Remainder will be ? (0 or 33)
31. If there are Six periods in each working day of a school, In how many ways can one arrange 5 subjects such that each subject is allowed at least one period?
32. We have 5 sub and 6 periods so their arrangement is 6P5 and now we have 1 period which we can fill with any of the 5 subjects so 5C1
6P5*5C1=3600
33. An article manufactured by a company consists of two parts X and Y. In the process of manufacturing of part X, 9 out 100 parts many be defective. Similarly , 5 out of 100 are likely to be defective in the manufacturer of Y. Calculate the probability that the assembled product will not be defective?
A)0.6485 b)0.6565 c)0.8645 d)none of these
Ans=c (0.8645)
Probability of no defective of x= 91/100=.91
Probability of non-defective of y= 95/100=.95
So, probability of no defective product=.91*.95=0.8645
34. There are six multiple choice questions in the examination. How many sequences of answers are possible, if the first two questions have 3 choices each, the next two have 4 choices each and last two have 5 choices each?
3c1*3c1*4c1*4c1*5c1*5c1=3600
35. The ratio of perimeter of an equilateral triangle having an altitude equal to the radius of the circle, to the perimeter of an equilateral triangle inscribed in that circle is ?
36. Arun was all bent on building a new house. He carefully got the blue print of his house designed by his friend Ashwin, a civil engineer. He wanted to build a room of dimension 27 by 48 ft and lay tiles in this room. Each tile was of dimension 2 by 3 ft. How many tiles should Arun buy?
27*48/2*3=216
37. Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age? A.2 b.5/2 c.3/2 d.1
F=3R.
After 8 yrs.
F+8=5/2(R+8)
2F+16=5R+16
2(3R) +16=5R+40
R=24 ROHIT
Aft further 8
Rohit == 24+8=32
Father == 24*3+8=80
80/32====5/2
38. Roy is now 4 year older than Erik and half of that amount than Lewis. If in two years Roy will be twice as old as Erick, then in two year what would be Roy age multiplied by Lewis age??
Ans is 48
Firstly two equations from 1st sentence...
Suppose Roy=x, Erik=y, Lewis=z
So x=y+4.... (1)
2nd is x=z+2... (2) (Roy is now 4 year older than Erik and half of that amount than Lewis so 4/2=2)
Also after 2 years Erik and Roy relation will b
X+2=2(y+2)... (3)
So put this into 1st equation. U will get y=2...
And then x=6, z=4(by substituting other)
Now asking multiplication after two years of Roy n Lewis is (6+2)*(4+2) =48...
39. My name is PREET. But my son accidentally types the by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged? A.5% b.20% c.25% d.12.5%
10% there are 10 possible pairs. Out of which 1 will not change my name.
So probability that name remains unchanged = 1/10 = 10%
40. In how many ways can 20 identical pencils be distributed among three girls so
That each gets at least 1 pencil?
Consider 3 girls as A, B, C THEN A+B+C=20, but each one should get at least 1 pencil so giving 1 pencil to each student, the remaining pencils are 20-3=17 now A'+B'+C''=17,
Number of non-negative integers of A', B’, C’ are (17+3-1) C (3-1)
So total Combinations are 19c2=19*9 = 171
41. A sequence {An}is defined A(1)=0&A(n+1)=A(n)+2(n)WHAT IS VALUE OF A(100)(a)9902(B)9900(C)10100(D)9904
Last will be A (1) +2*99*98*.....1
Now put the value 1+2(1+2+......+99)
2+ 2*99(99+1)/2
=9902
42. The sequence {A (n)} is defined by A (1) =2 and A (n+1) =A (n) +2n. What is the value of a (100)
Let a=2, d=2, a.p formula find nth term i.e... TN=a+ (n-1) d
Where TN=100...
100=2+ (n-1)2 gives n=50.
Now sum of n terms n/2(a+l) =2550(ans).
43. In a sequence of integers, A(n)=A(n-1)-A(n-2),where A(n) is the nth term in the sequence, n is an integer and n>=3, A(1)=1,A(2)=1. Calculate S (1000), where S (1000) is the sum of first 1000 terms.
Ans: 3
44. In base 7, number is written only using digit0, 1, 6.a number 135in base 7 is 1*7^2+3*7+5=75in base10.what is sum of base7 numbers1234&6543in base 7? (A) 11101(B) 11110(C) 10111(D) 11011
Ans: b) 11110
Explanation:
Convert the number from base 7 to base 10
Base 7(1234) = base 10(466)
Base 7(6543) = base 10(2334)
Sum of 466 + 2334 = 2800
Convert to base 7
Base 10 (2800) ===> 11110
45. M,N,O,P ARE DIFFERENT INDIVIDUAL M IS DAUGHTER OF N; MIS SON OF P;WHICH FOLOWING TRUE (a)M IS DAUGHTER OF P (B)IF B IS DAUGHTER OF N THEN M AND B ARE SISTER (b)IF C IS GRANDDAUGHTER OF O ,C AND M ARE SISTERS(d)P AND N ARE BROTHER
46. Which of following true: A occur only B or C occur B occur D&E occur if C not occur g occur if A and F occur option A occur whenever F occur2) F never occur3) G not occur if D not occur (3584) 4) none of these
47. House1 is older than H2, H3 is taller than H4, and H4 is older than H1... (I)H1 is older than H3 (ii) H2 is taller than H4 (a) only 1 (b) both (c) neither (d) only2
48. Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 11.67and for 36kgs of Apples is 12.48 then the cost of first 10 kegs of Apples is
A) 3.50 b) 10.53 c) 1.17 d) 2.8
30L+3Q=11.67
30L+6Q=12.48
------------
3Q=.81 Q= .27
From that L=0.362 cost of 10 kg apple is 10*.362=3.6
49. The letters in the word ABUSER are permuted in all possible ways and arranged in alphabetical order then find the word at position 49 in the permuted alphabetical order?
A) ARBSEU
B) ARBESU
C) ARBSUE
D) ARBEUS
AB**** =4! = 24 ways
AE****=4! =24 ways next word is 49th so
AR**** in alphabetical order **** will be BESU
Ans is B
50. X,Y,W,Z ARE INTEGER THE EXPRESSION X-Y-Z IS EVEN&Y-W-Z ODD IF X IS EVEN THEN WHICH OF FOLLOWING IS TRUE(a)Y MUST BE ODD(b)Y-Z MUST BE ODD(c)W MUST BE ODD(d)Z MUST BE ODD
Ans. (c) W must be ODD
X-Y-Z=even and X even no.
Hence (y-z) must be even because (even -even = even)
And y-w-z=y-z-w=odd and (y-z) is even so W must be odd because (even - odd=odd)
Hence option (c) is correct
51. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2: 3 respectively. In what ratio, the liquids in both the vessels are mixed to obtain a new mixture in vessel C containing half milk and half water?
Mr and Mrs smith had invited 9 of their friend and their spouses for party at wiki beachresort.the stand for group photograph if Mr smith never stand next to Mrs smith then how many way group arrange in row
(A) 20!
(B) 19! +18!
(C) 18*19!
(D) 2*19!
52. A father purchases dress for his three daughters. The dresses are of same colour but of different size .the dress is kept in dark room .What is the probability that all the three will not choose their own dress...
53. An empty tank is filled with an inlet pipe 'A' in 42 minutes. After 12 minutes an outlet pipe 'B' is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe 'C' opened into the same tank, which can fill the tank in 35 minutes and the tank is filled find the time taken to fill the tank?
54. There are three buckets. Of 8, 5 n 3 litres...out of which only 8 ltr buckets is fully filled...u have to fill exact 4-4 ltr liquid in 8 and 5 litre bucket by using only these buckets in minimum number of steps.
55. 16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
A) 41 b) 42 c) 40 d) 43
56. There are 4 boxes colored red, yellow, green and blue. If 2 boxes are selected, how many combinations are there for at least one green box or one red box to be selected?
A) 1 b) 6 c) 9 d) 5
57. N! Have 13 zeros than what is the highest and lowest value of n??
65! Will have 13 +2= 15 zeros.55! , 56! .59! Will have 13 zeros. Lowest value of n=55 highest value of n =59
58. N is an integers and N>2 at most how many integers among N+2,N+4,N+5,N+6 and N+7 are prime integers?
A) 1, b) 3, c) 2, d) 4
If n=3 than 5 7 8 9 10 so prime no. 2
------------------=-------------:TCS LATEST PATTERN2012--------------------------------
1. P(x)=(x^2012+x^2011+x^2010+…...+x+1)^2-x^2012
Q(x)=x^2011+x^2010+…+x+1
The remainder when P(x) is divided by Q(x) is ?
2. In a stream running at 2 kmph, a motorboat goes 6 km upstream and back again to the starting point in 33 minutes. Find the speed of the motorboat in still water ?
3. Directions for Q. 1 to Q. 5: Refer the data:
J, K, L, M and N collected stamps. They collected a total of 100 stamps. None of them collected less than 10.
No two among them collected the same number.
(i) 3 collected the same number as K and M together.
(ii) L collected 3 more than the cube of an integer
(iii) The no. Collected by J was the square of an integer.
(iv) Total no. Collected by K was either the square or cube of an integer.
1. The no. Collected by J was:
(1) 27 (2) 49 (3) 36 (4) 64
2. The no. Collected by K was:
(1) 16 (2) 27 (3) 25 (4) 36
3. The difference of numbers collected by L & M was:
(1) 3 (2) 2 (3) 5 (4) 9
L=12, N=11, J=27, M=14, K=36
4. A man can row 6 km/hr. in still water. If the speed of stream is 2km/hr., it takes him 3 hours to row to a place and back. How far is the place?
5. F(n) is a function...where f(f(n))+f(n)=2n+3.
F(n)=0;find f(2012) ?
6. How many vehicle registration plate numbers can be formed with digits 1,2,3,4,5(no digits being repeated)if it is given that registration number can have 1 to 5 digits ?
Options: 205 100 325 105
7. You can have registration plates of 5,4,3,2 or 1 digits
So, it's 5*4*3*2*1 + 5*4*3*2 + 5*4*3 +5*4 + 5
=120 + 120 + 60 + 20 +5
=> 325
8. A merchant buys 20kg of wheat at rs.30.00 per kg and 40kg wheat at rs.25.00 per kg.He mixes them and sell one third of the mixture at rs.26.00 per kg. The price at which the merchant should sell the remaining mixture so that he may earn a profit of 25% on his whole outlay is
Total cp = 20 * 30 + 40*25= 1600
Sp = 125/100 * 1600= 2000
Sp for 20kg mix = 26*20 =520
Rem sp = 2000-520 = 1480
As this sp is for 40 kg = 1480 / 40 = Rs37
9. Four friends namely Rahul, Ravi, Rajesh and Rohan contested for a dairy milk chocolate. To decide which friend will get the chocolate they decided to throw two dice. Every friend was asked to choose a number and if the sum of the numbers on two dice equals that number, the concerned person will get the chocolate. Rahul's choice was7, Ravi's choice was 9, Rajesh's choice was 10 and Rohan's choice was 11. Who has the maximum probability of winning the amount?
A) Rahul b) Ravi c) Rajesh d) Rohan
10. Messrs. Siva Constructions, leading agents in Chennai prepared models of their lands in the shape of a rectangle and triangle. They made models having same area. The length and width of rectangle model are 24 inches and 8 inches respectively. The base of the triangle model is 16 inches. What is the altitude of triangle model from the base to the top?
A) 24 inches b) 8 inches c) 20 inches d) 32 inches
If h is the height of triangle model, then 24*8 = 16*h/2 h= 24 inches
11. In month of jan 4 thursday and 4 sunday then on 1st jan of that month which willbe the day?
1. Monday
2. Friday
3.saturday
4. Wednesday
12. There is a 12*6 grid...grid contains 1*1 squares. What is d total number of squares..(consider 1*1,2*2,3*3,4*4,5*5,6*6 size squares as well).
13. 7,5,9,12,18,36,47,72,?
14. 5, 9, 12, 18, 26, 36, 47, 72, _?
It is 5 ...... 12....... 26......... 47
12= 5+7
26= 12+2×7
47=26+3×7
Next is 47+4×7=75
And 9, 18, 36, 72 hence next 144
Therefore 5, 9, 12, 18, 26, 36, 47, 72, 75, 144
15. F(x)=f(f(x))=f(x^2)....how many such functions with degree >2 exist
16. The length and breadth of a field is 300x400ft, if there are 3 ants on average per square inch of field, find the approximate number of ants in field
As 300 ft=3600 inch and 400 ft=4800 inch.then area in sqr inch=17280000
1 sqr inch need 3 ant hence 17280000 sqr inch need 3*17280000 ants
17. The diagonal of a square is twice the side of equilateral triangle the ratio of Area of the Triangle to the Area of Square is?
A) 3:8
B) 2:5
C) 3:6
D) 2:4
Ratio = sqrt3*a^2/8a^2....i.e sqrt3/8
18. A, B COMMON TO ALL THREE. THEN ATLEAST 1 ELEMNT COMMON TO 2 IE X1,X2,X2,X3,X3,X1. FINDMINIMUM ELEMENTS IN EACH GROUP.
ANSWER IS 4.
19. There are three dice, threw 3 times probability of getting 10 is ?
Possible event.......(1,3,6)(1,4,5)(1,5,4)(1,6,3)(2,2,6)(2,3,5)(2,4,4)(2,5,3)(2,6,2)(3,1,6)(3,2,5)(3,3,4)(3,4,3)(3,5,2)(3,6,1)(4,1,5)(4,2,4)(4,3,3)(4,4,2)(4,5,1)(5,1,4)(5,2,3)(5,3,2)(5,4,1)(6,1,3)(6,2,2)(6,3,1)
Total 27 possible events
Given dice is thrown 3 times
So probability is ..........3*27/216
20. What is the probability of throwing 3 dices to get a sum of 10?
21. Raj tossed 3 dices and there results are noted down then what is the probability that raj gets 10?
A) 1/72
B) 1/9
C) 25/216
D)1/8
27/216 than ans is 1/8
22. From 52 cards 3 cards drawn randomly prob of getting 1 spade , 1 red queen and 1 black king??
13C1*2C1*2C1/52C3 = 0.00235
23. A) in how many ways can 3 postcards can be posted in 5 postboxes?
B) in how many ways can 5 postboxes hold 3 post cards?
A)5^3
B)3^5
24. The climb from foot to top of a hill 800 meters, Jack can climb at 16 meters per minute and rests for two minutes or 20meters per 2 minutes and rest for one minute. Paul can climb at 10 meters per one minute and rest for one minute or16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
A) 41 b) 42 c) 40 d) 43
Total=800m
16m per min means for 1m=800/16 =50min to climb
10m per min means for 1m=800/10=80min to climb for paul.....The total time is 2hours==120min....so, time taken for rest by paul is 120-80=40min
25. Two cyclist begin training on oval racecourse at same time the professional cyclist complete each lap in 4 sec noves take 6 minute how many minute after start will both cyclist pass at exactly same spot where they begin to cycle(a)10(b)8(C)14(D)12
26. Two points r there two person from A running to same direction with speed 20 km/hr. & 15/hr. respectively and from other end another person running to opposite direction with 30 km/hr.? Distance between them 100 km??At what time they will meet?
27. Tim and Elan are 90km away from each other .they are starting to move towards eachother simultaneously ,tim at speed 10kmph and elect at 5kmph ,,if every hr. they double the speed ,what is distance that tim will pass until he meets elan? (60)
28. There are 10 stepping stones numbered 1 to 10.a fly jumps from 1st stone as follows: every minute it jumps to the 4th stone from where it started -that is from 1st it would go to 5th, from 5th it would go to 9th, from 9th it would go to 3rd, etc .where would the fly be at 60th minute if it starts at 1?
Answer 1
1minute=1+4=5
1 minute=1+4=5step
2 minute=5+4=9step
3 minute=9+4=3step
4 minute=3+4=7step
5 minute=7+4=1step the same process is repeated 12*5 times hence at 60th minute fly would be at 1st step
29. Given the following information who is youngest?
C is younger than a; a is taller than b;
C is younger than d;
C is older than b;
B is taller than c;
A is older than d
(1)d (2)b (3)a (4)c
30. 1!+2!+3!...+50! Divided by 5! Remainder will be ? (0 or 33)
31. If there are Six periods in each working day of a school, In how many ways can one arrange 5 subjects such that each subject is allowed at least one period?
32. We have 5 sub and 6 periods so their arrangement is 6P5 and now we have 1 period which we can fill with any of the 5 subjects so 5C1
6P5*5C1=3600
33. An article manufactured by a company consists of two parts X and Y. In the process of manufacturing of part X, 9 out 100 parts many be defective. Similarly , 5 out of 100 are likely to be defective in the manufacturer of Y. Calculate the probability that the assembled product will not be defective?
A)0.6485 b)0.6565 c)0.8645 d)none of these
Ans=c (0.8645)
Probability of no defective of x= 91/100=.91
Probability of non-defective of y= 95/100=.95
So, probability of no defective product=.91*.95=0.8645
34. There are six multiple choice questions in the examination. How many sequences of answers are possible, if the first two questions have 3 choices each, the next two have 4 choices each and last two have 5 choices each?
3c1*3c1*4c1*4c1*5c1*5c1=3600
35. The ratio of perimeter of an equilateral triangle having an altitude equal to the radius of the circle, to the perimeter of an equilateral triangle inscribed in that circle is ?
36. Arun was all bent on building a new house. He carefully got the blue print of his house designed by his friend Ashwin, a civil engineer. He wanted to build a room of dimension 27 by 48 ft and lay tiles in this room. Each tile was of dimension 2 by 3 ft. How many tiles should Arun buy?
27*48/2*3=216
37. Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age? A.2 b.5/2 c.3/2 d.1
F=3R.
After 8 yrs.
F+8=5/2(R+8)
2F+16=5R+16
2(3R) +16=5R+40
R=24 ROHIT
Aft further 8
Rohit == 24+8=32
Father == 24*3+8=80
80/32====5/2
38. Roy is now 4 year older than Erik and half of that amount than Lewis. If in two years Roy will be twice as old as Erick, then in two year what would be Roy age multiplied by Lewis age??
Ans is 48
Firstly two equations from 1st sentence...
Suppose Roy=x, Erik=y, Lewis=z
So x=y+4.... (1)
2nd is x=z+2... (2) (Roy is now 4 year older than Erik and half of that amount than Lewis so 4/2=2)
Also after 2 years Erik and Roy relation will b
X+2=2(y+2)... (3)
So put this into 1st equation. U will get y=2...
And then x=6, z=4(by substituting other)
Now asking multiplication after two years of Roy n Lewis is (6+2)*(4+2) =48...
39. My name is PREET. But my son accidentally types the by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged? A.5% b.20% c.25% d.12.5%
10% there are 10 possible pairs. Out of which 1 will not change my name.
So probability that name remains unchanged = 1/10 = 10%
40. In how many ways can 20 identical pencils be distributed among three girls so
That each gets at least 1 pencil?
Consider 3 girls as A, B, C THEN A+B+C=20, but each one should get at least 1 pencil so giving 1 pencil to each student, the remaining pencils are 20-3=17 now A'+B'+C''=17,
Number of non-negative integers of A', B’, C’ are (17+3-1) C (3-1)
So total Combinations are 19c2=19*9 = 171
41. A sequence {An}is defined A(1)=0&A(n+1)=A(n)+2(n)WHAT IS VALUE OF A(100)(a)9902(B)9900(C)10100(D)9904
Last will be A (1) +2*99*98*.....1
Now put the value 1+2(1+2+......+99)
2+ 2*99(99+1)/2
=9902
42. The sequence {A (n)} is defined by A (1) =2 and A (n+1) =A (n) +2n. What is the value of a (100)
Let a=2, d=2, a.p formula find nth term i.e... TN=a+ (n-1) d
Where TN=100...
100=2+ (n-1)2 gives n=50.
Now sum of n terms n/2(a+l) =2550(ans).
43. In a sequence of integers, A(n)=A(n-1)-A(n-2),where A(n) is the nth term in the sequence, n is an integer and n>=3, A(1)=1,A(2)=1. Calculate S (1000), where S (1000) is the sum of first 1000 terms.
Ans: 3
44. In base 7, number is written only using digit0, 1, 6.a number 135in base 7 is 1*7^2+3*7+5=75in base10.what is sum of base7 numbers1234&6543in base 7? (A) 11101(B) 11110(C) 10111(D) 11011
Ans: b) 11110
Explanation:
Convert the number from base 7 to base 10
Base 7(1234) = base 10(466)
Base 7(6543) = base 10(2334)
Sum of 466 + 2334 = 2800
Convert to base 7
Base 10 (2800) ===> 11110
45. M,N,O,P ARE DIFFERENT INDIVIDUAL M IS DAUGHTER OF N; MIS SON OF P;WHICH FOLOWING TRUE (a)M IS DAUGHTER OF P (B)IF B IS DAUGHTER OF N THEN M AND B ARE SISTER (b)IF C IS GRANDDAUGHTER OF O ,C AND M ARE SISTERS(d)P AND N ARE BROTHER
46. Which of following true: A occur only B or C occur B occur D&E occur if C not occur g occur if A and F occur option A occur whenever F occur2) F never occur3) G not occur if D not occur (3584) 4) none of these
47. House1 is older than H2, H3 is taller than H4, and H4 is older than H1... (I)H1 is older than H3 (ii) H2 is taller than H4 (a) only 1 (b) both (c) neither (d) only2
48. Apple costs L rupees per kilogram for first 30kgs and Q rupees per kilogram for each additional kilogram. If the price of 33 kilograms is 11.67and for 36kgs of Apples is 12.48 then the cost of first 10 kegs of Apples is
A) 3.50 b) 10.53 c) 1.17 d) 2.8
30L+3Q=11.67
30L+6Q=12.48
------------
3Q=.81 Q= .27
From that L=0.362 cost of 10 kg apple is 10*.362=3.6
49. The letters in the word ABUSER are permuted in all possible ways and arranged in alphabetical order then find the word at position 49 in the permuted alphabetical order?
A) ARBSEU
B) ARBESU
C) ARBSUE
D) ARBEUS
AB**** =4! = 24 ways
AE****=4! =24 ways next word is 49th so
AR**** in alphabetical order **** will be BESU
Ans is B
50. X,Y,W,Z ARE INTEGER THE EXPRESSION X-Y-Z IS EVEN&Y-W-Z ODD IF X IS EVEN THEN WHICH OF FOLLOWING IS TRUE(a)Y MUST BE ODD(b)Y-Z MUST BE ODD(c)W MUST BE ODD(d)Z MUST BE ODD
Ans. (c) W must be ODD
X-Y-Z=even and X even no.
Hence (y-z) must be even because (even -even = even)
And y-w-z=y-z-w=odd and (y-z) is even so W must be odd because (even - odd=odd)
Hence option (c) is correct
51. The milk and water in two vessels A and B are in the ratio 4 : 3 and 2: 3 respectively. In what ratio, the liquids in both the vessels are mixed to obtain a new mixture in vessel C containing half milk and half water?
Mr and Mrs smith had invited 9 of their friend and their spouses for party at wiki beachresort.the stand for group photograph if Mr smith never stand next to Mrs smith then how many way group arrange in row
(A) 20!
(B) 19! +18!
(C) 18*19!
(D) 2*19!
52. A father purchases dress for his three daughters. The dresses are of same colour but of different size .the dress is kept in dark room .What is the probability that all the three will not choose their own dress...
53. An empty tank is filled with an inlet pipe 'A' in 42 minutes. After 12 minutes an outlet pipe 'B' is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe 'C' opened into the same tank, which can fill the tank in 35 minutes and the tank is filled find the time taken to fill the tank?
54. There are three buckets. Of 8, 5 n 3 litres...out of which only 8 ltr buckets is fully filled...u have to fill exact 4-4 ltr liquid in 8 and 5 litre bucket by using only these buckets in minimum number of steps.
55. 16 meters per minute and rest for 2 minutes. If take has to reach the top in exactly two hours. What is the maximum number of rests that he can take?
A) 41 b) 42 c) 40 d) 43
56. There are 4 boxes colored red, yellow, green and blue. If 2 boxes are selected, how many combinations are there for at least one green box or one red box to be selected?
A) 1 b) 6 c) 9 d) 5
57. N! Have 13 zeros than what is the highest and lowest value of n??
65! Will have 13 +2= 15 zeros.55! , 56! .59! Will have 13 zeros. Lowest value of n=55 highest value of n =59
58. N is an integers and N>2 at most how many integers among N+2,N+4,N+5,N+6 and N+7 are prime integers?
A) 1, b) 3, c) 2, d) 4
If n=3 than 5 7 8 9 10 so prime no. 2
In
how many ways we can get a sum greater than 15 by throwing 5 distinct
dice.
Asked
In TCS
A cine multiplex MNOX has 3 screens. Cinema1,
Cinema2, Cinema3. The multiplex prints 3 sets of tickets for
September and three sets of tickets for October. One set for each its
cinema for two months. The company tickets are printed in a
consistent manner with the following conditions.
1. Each of
the six sets of tickets is exactly one of the following colors:
Green, blue, red and white
2. For each cinema, the September
tickets are different in color than the October tickets.
3.
For each month, tickets for different cinemas are in different
colors.
4. Exactly one set of September is red.
5. For
cinema 3, either the September tickets or the October tickets , but
not both are green.
6. The September tickets for cinema 2 are
blue.
7. No October tickets are blue.
If the cinema 3
tickets for September are red, then which one of the following
statements must be true?
A
father purchases dress for his three daughter. The dresses are of
same color but of different size .the dress is kept in dark room
.What is the probability that all the three will not choose their own
dress...
a) 2/3 b) 1/3 c) 1/6 d) 1/9
Mr.
and Mrs.Smith invited 9 of their friends and their spouses at the
party.they stand for a group photograph.If Mr.Smith never stand next
to Mrs.Smith.In how many ways group can be arranged in a row for the
photograph?
a)20!
b)19!+18!
c)18*19!
d)2*19!
an empty tankbe filled with aninlet pipe 'A' in 42 minutes. after 12 minutes an outlet pipe 'B' is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe 'C' opened into the same tank, which can fill the tank in 35 minutes and the tank is filled find the time taken to fill the tank?
Find the no of zeros in the product of 1^1*2^2*3^3*.....*49^49??
How
many polynomial functions f of degree >=1 satisfy f(X2) = (f(X)) 2
=f (f(X)).
a) 1 b) 0 c) 2 d) more than 2
60 men work take 40 days to complete a work. Now suppose that is 60 men start working and every 5 days 5 people leave.In how many days will the work be complete.
In
an year N, the 320th day of the year is Thursday. In the year N+1 the
206th day of the year is also Thursday. What is the 168th day of In
the year N-1?
Options
o Friday
o Thursday
o Tuesday
o
Saturday
What
is the remainder when 6^17+17^6 is divided by 7?
a)1
b)6
c)0
d)3
all
faces of a cube witwh an 8m edge are painted red. if the cube is cut
in to smaller cube with a 2m edge how many of the 2 m cubes have
painted on exactly one face
a)24 b)36 c)60 D)48
How many polygon function of degree less than equal to 1 satisfy f(x)^2={f(n)^2={f{f(x))
Pattern
1:1.
(1/2) of a number is 3 more than the (1/6) of the same number?
a) 6 b)7 c)8 d)9
a) 6 b)7 c)8 d)9
2.
(1/3) of a number is 3 more than the (1/6) of the same number?
a) 6 b)16 c)18 d)21
a) 6 b)16 c)18 d)21
3.
(1/3) of a number is 6 more than the (1/6) of the same number?
a) 6 b)18 c)36 d)24
a) 6 b)18 c)36 d)24
4.
(2/3) of a number is 4 more than the (1/6) of the same number?
a) 6 b)8 c)36 d)24
a) 6 b)8 c)36 d)24
5.
(1/3) of a number is 5 more than the (1/6) of the same number?
a) 6 b)36 c)30 d)72
a) 6 b)36 c)30 d)72
Pattern
2:1.
There are two water tanks A and B, A is much smaller than B. While
water fills at the rate of 1 liter every hour in A, it gets filled up
like, 10, 20, 40,80, 160…..in tank B. (At the end of first hour, B
has 10 liters, second hour it has 20 liters and so on). If tank B is
1/32 filled of the 21 hours, what is total duration of hours required
to fill it completely?
a) 26 B)25 c)5 d)27
a) 26 B)25 c)5 d)27
2.
There are two pipes A and B. If A filled 10 liters in an hour, B can
fill 20 liters in same time. Likewise B can fill 10, 20, 40, 80,
160…... If B filled in 1/16 of a tank in 3 hours, how much time
will it take to fill the tank completely?
a) 9 B)8 c)7 d)6
a) 9 B)8 c)7 d)6
3.
There are two water tanks A and B, A is much smaller than B. While
water fills at the rate of 1 liter every hour in A, it gets filled up
like, 10, 20, 40,80, 160…..in tank B. 1/8 th of the tank B is
filled in 22 hours. What is the time to fill the tank fully?
a) 26 B)25 c)5 d)27
a) 26 B)25 c)5 d)27
4.
A tank is filled with water. In first hour 10 liters, second hours 20
liters, and third hour 40 liters and so on…If time taken to fill ¼
of the tank if 5 hours. What is the time taken to fill up the
tank?
a) 5 B)8 c)7 d)12.5
a) 5 B)8 c)7 d)12.5
5.
If a tank A can be filled within 10 hours and tank B can be filled ¼
in 19 hours then, what is the time taken to fill up the tank
completely?
a) 21 B)38 c)57 d)76
a) 21 B)38 c)57 d)76
Pattern
3:1.
6 persons standing in queue with different age group, after two years
their average age will be 43 and seventh person joined with them.
Hence the current average age has become 45. Find the age of seventh
person?
a) 43 b)69 c)52 d)31
a) 43 b)69 c)52 d)31
2.
In a market 4 men are standing. The average age of the four before
4years is 45, after some days one man is added and his age is 49.
What is the average age of all?
a) 43 b)45 c)47 d)49
a) 43 b)45 c)47 d)49
3.
In a shopping mall with a staff of 5 members the average age is 45
years. After 5 years a person joined them and the average age is
again 45 years. What’s the age of 6th person?
a) 25 b)20 c)45 d)30
a) 25 b)20 c)45 d)30
4.
In a market 4 men are standing .The average age of the four before 2
years is 55, after some days one man is added and his age is 45. What
is the average age of all?
a) 55 b)54.5 c)54.6 d)54.7Pattern 4:
1. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
a)8 b)none c)16 d)15
2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person?
a) 8 b)6 c)2 d)7
3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?
a) 8 b)6 c)2 d)7Pattern 5:1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?
a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph
a) 55 b)54.5 c)54.6 d)54.7Pattern 4:
1. In the reading room of a library, there are 23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single reader?
a)8 b)none c)16 d)15
2. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many tables will be left out without at least 1 person?
a) 8 b)6 c)2 d)7
3. In the reading room of a library, there are 10 tables, 4 chairs per table. In each table there are different numbers of people seated. How many ways they will sit in the library so that no chair would be blank?
a) 8 b)6 c)2 d)7Pattern 5:1. A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?
a) 2.4 mph b) 4.8 mph c) 4 mph d) 5 mph
2.
A man travels from A to B at 4 mph over a certain journey and returns
over the same route to A, at 5 mph. What is his average speed for the
journey?
a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph
a) 4.44 mph b) 4.8 mph c) 4.887 mph d)5 mph
3.
A person is rock climbing at an altitude of 800 m. He go up by 7 mph.
and come down by 9 mph. what was his average speed?
a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph
a) 7.875 mph b) 7.125 mph c) 7mph d) 7.5 mph
4.
Find average speed if a man travels at speed of 24kmph up and 36kmph
down at an altitude of 200m?
a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph
a) 28.8 mph b) 27.8 mph c) 27.5mph d) 30 mph
5.
Person travels to a hill, if he goes from A to B with speed of 4kmph
and returns back to B with speed of 5kmph. What is his average speed
of journey?
a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph
a) 4.5kmph b) 4.44kmph c) 9kmph d) 4.245kmph
6.
A man travels from A to B at 70 mph over a certain journey and
returns over the same route to A, at 80 mph. What is his average
speed for the journey?
a) 74.66 b)75 c)74.33 d)74.99
7. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.
a) 28.8 b)28 c)27 d)28.6
a) 74.66 b)75 c)74.33 d)74.99
7. Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.
a) 28.8 b)28 c)27 d)28.6
Pattern
6
1. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?
a) 114 b) 135 c) 21 d) 71
2. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?
a) 2000 b) 5000 c) 3000 d) 7000
3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?
a) 98 b) 104 c) 100 d) 61
4. Leena cut small cubes of 10 cm dimension each. She joined it to make a cuboid of length 100 cm, width 50 cm and depth 50 cm. How many more cubes does she need to make a perfect cube?
a)500 b)250 c)750 d)650
5. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes does she need to make a perfect cube?
a) 910 b) 250 c) 750 d) 650
6. A lady builds 9cm length, 10cm width,3cm height box using 1 cubic cm cubes. What is the minimum number of cubes required to build the box?
a) 730 b) 270 c) 720 d) 310Pattern 8:1. (40*40*40 – 31*31*31)/(40*40+40*31+31*31)=?
a)8 b)9 c)71 d)51
1. Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?
a) 114 b) 135 c) 21 d) 71
2. A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?
a) 2000 b) 5000 c) 3000 d) 7000
3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?
a) 98 b) 104 c) 100 d) 61
4. Leena cut small cubes of 10 cm dimension each. She joined it to make a cuboid of length 100 cm, width 50 cm and depth 50 cm. How many more cubes does she need to make a perfect cube?
a)500 b)250 c)750 d)650
5. Leena cut small cubes of 3 cubic cm each. She joined it to make a cuboid of length 10 cm, width 3 cm and depth 3 cm. How many more cubes does she need to make a perfect cube?
a) 910 b) 250 c) 750 d) 650
6. A lady builds 9cm length, 10cm width,3cm height box using 1 cubic cm cubes. What is the minimum number of cubes required to build the box?
a) 730 b) 270 c) 720 d) 310Pattern 8:1. (40*40*40 – 31*31*31)/(40*40+40*31+31*31)=?
a)8 b)9 c)71 d)51
2.
(98*98*98 – 73*73*73)/( 98*98*98 – 73*73*73)=?
a).171 b).4 c).420 d).415
a).171 b).4 c).420 d).415
3.
(209*144)^2 + (209*209)+(209*144)+(144*144) = ?
a)905863729 b)905368729 c)905729368 d)65Pattern 9:
1. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2
a)8 b)none c)16 d)15
a)905863729 b)905368729 c)905729368 d)65Pattern 9:
1. ((4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2
a)8 b)none c)16 d)15
2.
x/2y = 2a,then 2x/x-2ay=?
a)4 b)8 c)16 d)2
a)4 b)8 c)16 d)2
3.
3X/5Y = 5Y/3X…..Find the value of X/Y
a)3/5 b)5/3 c)2/5 d)5/2
a)3/5 b)5/3 c)2/5 d)5/2
4.
What is the value of (3X+8Y)/(X-2Y), if X/2Y=2
a)8 b)none c)10 d)13
a)8 b)none c)10 d)13
5.
(4x+3y)+(5x+9y))/(5x+5y) = ? as (x/2y) = 2
a)48/5 b)46/5 c)47/5 d)49/5
a)48/5 b)46/5 c)47/5 d)49/5
6.
((4x+2y)/(4x-2y)= ? as (x/2y) = 2
a)8/7 b)9/7 c)11/7 d)6/7Pattern 10:1. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?
a)16 b)56 c)112 d)28
a)8/7 b)9/7 c)11/7 d)6/7Pattern 10:1. A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings?
a)16 b)56 c)112 d)28
2.
A pizza shop made pizzas with many flavors. There are 10 different
flavors, in that 7 flavors are taken to make pizza. In how many ways
they can arrange?
a)240 b)120 c)65 d)210
a)240 b)120 c)65 d)210
3.
A pizza shop made pizzas with many flavors. There are 9 different
flavors, in that 2 flavors are taken to make pizza. In how many ways
they can arrange?
a)16 b)26 c)36 d)46Pattern 11:1. 3, 22, 7, 45, 15,? , 31
a)91 b)151 c)90 d)5
a)16 b)26 c)36 d)46Pattern 11:1. 3, 22, 7, 45, 15,? , 31
a)91 b)151 c)90 d)5
2.
8 6 17 14 35 31 75 _ 143?
3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63?
a)202 b)31 c)76 d)49
3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63?
a)202 b)31 c)76 d)49
4.
3, 12, 7, 26, 15, ?
a)54 b)27 c)108 d)31
a)54 b)27 c)108 d)31
5.
1! + 2! + ……. + 50!=?
a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62
a)3.1035*10^64 b)2.1021*10^65 c)3.1035*10^63 d)3.1035*10^62
6.
1, 2, 3, 6, 7, 14, _, 32?
7.
5, 9, 12, 18, 26, 36, 47, 72, _?
a)75 b)135 c)100 d)55
a)75 b)135 c)100 d)55
8.
3, 15, x, 51, 53,159,161
a)17 b)34 c)54 d)112Pattern 12:1. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b &c ,then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?
a)95 b)95.428 c)95.45 d)94Pattern 13:
1. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?
a) 1 in 16 B)1 in 4 c)1 in 8 d)1 in 32
a)17 b)34 c)54 d)112Pattern 12:1. Simple question but big one on average age.sth like a, b, c weighted separately 1st a, b, c ,then a& b, then b &c ,then c & a at last abc, the last weight was 167,then what will be the average weight of the 7 reading?
a)95 b)95.428 c)95.45 d)94Pattern 13:
1. A toy train produces 10 different sounds when it moves around a circular toy track of radius 5 m at 10 m per min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that the train produces for consecutive music tones of the same type?
a) 1 in 16 B)1 in 4 c)1 in 8 d)1 in 32
2.
A car manufacturer produces only red and blue models which come out
of the final testing area at random. What are the odds that five
consecutive cars of same color will come through the test area at any
one time?
a)1 in 16 b)1 in 125 c)1 in 32 d)1 in 25Pattern 15:1. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?
a)280.5625 b)240.5625 c)280.125 d)240
2. A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope?
a)280.5625 b)333.0625 c)333.0125 d)400Pattern 16:1. What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0
2. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).Pattern 17:1. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?
a)white b)black c)gray d)brownPattern-18:1. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys
a)1/64 b)1/32 c)1/128 d)1/256Pattern 19:1. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces?
a)153 b)152 c)154 d)155
a)1 in 16 b)1 in 125 c)1 in 32 d)1 in 25Pattern 15:1. A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?
a)280.5625 b)240.5625 c)280.125 d)240
2. A triangle is made from a rope. The sides of the triangle are 21 cm, 24 cm and 28 cm. What will be the area of the square made from the same rope?
a)280.5625 b)333.0625 c)333.0125 d)400Pattern 16:1. What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0
2. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).Pattern 17:1. A scientist was researching on animal behavior in his lab. He was very interested in analyzing the behavior of bear. For some reason he travelled 1mile in north direction & reached at North Pole. There he saw a bear. He then followed the bear around 1 hr with a speed of 2km/hr in east direction. After that he travelled in south direction & reached at his lab in2 hrs. Then what is the color of the bear?
a)white b)black c)gray d)brownPattern-18:1. Out of 7 children the youngest is boy then find the probability that all the remaining children are boys
a)1/64 b)1/32 c)1/128 d)1/256Pattern 19:1. Usha bought a linen cloth and rope to build a tent. If the rope is 153 m long and it is to be cut into pieces of 1m length, then how many cuts are to be made to cut the ropes into 153 pieces?
a)153 b)152 c)154 d)155
2.
A person has to make 146 pieces of a long bar. He takes 4 seconds to
cut a piece. What is the total time taken by him in seconds to make
146 pieces?
a)584 b)580 c)730 d)725
a)584 b)580 c)730 d)725
3.
A person has to make 141 pieces of a long bar. He takes 2 seconds to
cut a piece. What is the total time taken by him in seconds to make
141 pieces?
a)560 b)280 c)112 d)324
a)560 b)280 c)112 d)324
Pattern
20:1.
Spores of a fungus, called late blight, grow and spread infection
rapidly. These pathogens were responsible for the Irish potato famine
of the mid-19th century. These seem to have attacked the tomato crops
in England this year. The tomato crops have reduced and the price of
the crop has risen up. The price has already gone up to $45 a box
from $27 a box a month ago. How much more would a vegetable vendor
need to pay to buy 27 boxes this month over what he would have paid
last month?
a) $27 b)$ 18 c)$45 d)$ 486Pattern 21:
1. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?Pattern 22:
1. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?
a)loss 23 b)gain 23 c)gain 54 d)Loss 54Pattern 23:
1. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
a)50 b)8 c)60 d)42
a) $27 b)$ 18 c)$45 d)$ 486Pattern 21:
1. A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?Pattern 22:
1. John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?
a)loss 23 b)gain 23 c)gain 54 d)Loss 54Pattern 23:
1. A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
a)50 b)8 c)60 d)42
2.
A lady has fine gloves and hats in her closet- 14 blue, 20 red, and
18 yellow. The lights are out and it is totally dark. In spite of the
darkness, she can make out the difference between a hat and a glove.
She takes out an item out of the closet only if she is sure that if
it is a glove. How many gloves must she take out to make sure she has
a pair of each color?
3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
4. A lady has fine gloves and hats in her closet- 25blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?Pattern 24:1. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?
a)1/2 b)1/6 c)1/12 d)6/10
3. A lady has fine gloves and hats in her closet- 13 blue, 27 red, and 40 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
4. A lady has fine gloves and hats in her closet- 25blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
5. A lady has fine gloves and hats in her closet- 26 blue, 30 red, and 56 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?Pattern 24:1. Sangakara and Ponting selects batting by using a dice, but dice is biased. So to resolve, Ponting takes out a coin. What is the probability that coin shows correct option?
a)1/2 b)1/6 c)1/12 d)6/10
2.
There is a die with 10 faces. It is not known that fair or not. 2
captains want to toss die for batting selection. What is the possible
solution among the following?
a) If no. is odd it is head, if no. is even it is tail
b) If no. is odd it is tail, if no. is even it is head
c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.
a) If no. is odd it is head, if no. is even it is tail
b) If no. is odd it is tail, if no. is even it is head
c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.
Pattern
25:1.
In a family there are some boys and girls. All boys told that they
are having equal no of brothers and sisters and girls told that they
are having twice the no. of brothers than sisters. How many boys and
girls present in a family?
a)4 boys and 3 girls b)3 boys and 4 girls c)2 boys and 5 girls d)5 boys and 2 girlsPattern 26;
1. 10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?
a)22 b)20 c)10 d)none
a)4 boys and 3 girls b)3 boys and 4 girls c)2 boys and 5 girls d)5 boys and 2 girlsPattern 26;
1. 10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?
a)22 b)20 c)10 d)none
2.
There are 100 men and 100 women on the dance floor. They want to
dance with each other. Then which of the following statements is
always true:
a) There are 2 men who danced with equal no. of women’s
b) There are 2 women who danced with equal no. of men
a) both a and b b)only a c)only b d)nonePattern 27:1. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?
a)257 b)256 c)72 d)255
2. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?
a)256 b)512 c)64 d)128Pattern 28:
1. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?
2. A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings.Pattern 29:
1. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
a)6 b)21 c)28 d)7
2. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?
a)122 b)66 c)48 d)128Pattern 30:1. B is taller than j and 3 pillars. P is shorter than B and 2 pillars is j shorter/taller than P?
a)yes b)no c)may be d)can’t find
2. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?
a) Linda is shorter among them
b) Chelsea is taller than Julia
c) Chelsea is shorter than Julia
d) Cannot determine who is taller among Chelsea and Julia
Pattern-31
1. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?
a)4 b)5 c)6 d)7Pattern 321. Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
a)8 b)20 c)16 d)15Pattern 331. 20 men handshake with each other without repetition. What is the total number of handshakes made?
a)190 b)210 c)150 d)250
a) There are 2 men who danced with equal no. of women’s
b) There are 2 women who danced with equal no. of men
a) both a and b b)only a c)only b d)nonePattern 27:1. Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournament is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds, where in every round; half of the teams get eliminated from the tournament. If there are 8 rounds played in knock out tournament, how many matches were played?
a)257 b)256 c)72 d)255
2. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?
a)256 b)512 c)64 d)128Pattern 28:
1. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?
2. A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings.Pattern 29:
1. There is 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
a)6 b)21 c)28 d)7
2. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?
a)122 b)66 c)48 d)128Pattern 30:1. B is taller than j and 3 pillars. P is shorter than B and 2 pillars is j shorter/taller than P?
a)yes b)no c)may be d)can’t find
2. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?
a) Linda is shorter among them
b) Chelsea is taller than Julia
c) Chelsea is shorter than Julia
d) Cannot determine who is taller among Chelsea and Julia
Pattern-31
1. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?
a)4 b)5 c)6 d)7Pattern 321. Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
a)8 b)20 c)16 d)15Pattern 331. 20 men handshake with each other without repetition. What is the total number of handshakes made?
a)190 b)210 c)150 d)250
2.10
people are there, they are shaking hands together, how many hand
shakes possible, if they are in no pair of cyclic sequence.
a)45 b)9 c)12 d)10Pattern 341. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 20 two wheelers parked there
a)48 b)50 c)52 d)64
a)45 b)9 c)12 d)10Pattern 341. If there are 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if there were 20 two wheelers parked there
a)48 b)50 c)52 d)64
2.
If there are 2 wheelers and 4 wheelers parked in a school located at
the heart of the city, find the number of 4 wheelers parked there if
there were 58 wheels are parked there
a)10 b)33 c)22 d)nonePattern 351. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he has bought from each piece for his son?
a)1app,1cho,1 banana b)1 app,2cho,3 banana c)1app,2cho,1banana
2. One person had three children. He had 7 pennies. Find the distribution of the fruits among the three children. A melon costs 1 penny, 2 oranges cost 1 penny and 3 grapes cost 1 penny
a)2 melons, 1 orange, 1 grape b) 2 melons, 2 orange, 1 grape c) 1 melons, 2 orange, 1 grape.
a)10 b)33 c)22 d)nonePattern 351. A man whose age is 45 yrs has 3 sons named John, Jill, jack. He went to a park weekly twice. He loves his sons very much. On a certain day he found the shop keepers selling different things. An apple cost 1penny, 2chocalate costs 1penny & 3 bananas cost 1 penny. He has bought equal number of apple, chocolate & banana for each son. If the total amount he invest is 7 penny then how many he has bought from each piece for his son?
a)1app,1cho,1 banana b)1 app,2cho,3 banana c)1app,2cho,1banana
2. One person had three children. He had 7 pennies. Find the distribution of the fruits among the three children. A melon costs 1 penny, 2 oranges cost 1 penny and 3 grapes cost 1 penny
a)2 melons, 1 orange, 1 grape b) 2 melons, 2 orange, 1 grape c) 1 melons, 2 orange, 1 grape.
PATTERN
361)
The age of the two friends were in the ration of 6:5.If the sum of
their ages is 55.Then after how many years their ratio will become
8:7?
a)11 b)7 c)10 d)12
2)The age of the two friends were in the ration of 6:5.If the sum of their ages is 66.Then after how many years their ratio will become 7:6?
a)11 b)6 c)10 d)12
3) The age of the two friends were in the ration of 2:3.If the sum of their ages is 55.Then after how many years their ratio will become 4:5?
a)11 b)33 c)22 d)44PATTERN 371)A volume of 10936 l water is in a container of sphere.How many semisphere of volume 4l each will be required to tranfer all the water into the small semispheres?
a)2812 b)8231 c)2734 d)4222
PATTERN 381)A person ismanufacturing a house.He bought 20 ropes of wire which has a density of 300 Kg/m3.The height of the building to be constructed is 40 m.If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts.Then what will be the opposing force to the current if the wire is used ?
a)2 b)4 c)8 d)1600
PATTERN 391)A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?
a)46.4 b)51 c)53.4 d)48.6
2) A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony?
3) : A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony
PATTERN 40
1)The difference between two no is 9 and the product of the two is 14.What is the square of their sum?
a)120 b)130 c)137 d)145
2) The sum of two no is 5 and the product of the two is 14.What is the sum of their squares?
3) The sum of the squares of two no is 12 and their sum is 15.Find the product of the two no?PATTERN 411) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
a) 17 b)21.25 c)12.25 d)14.05PATTERN 421)A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?
a)North b)South c)East d)WestPATTERN 431)In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?
a)18 b)19 c)20 d)21
2)In T.Nagar the building were numbered from 1 to 100.Then how many 6’s will be present in the numbers?
a)18 b)19 c)20 d)21
3)In T.Nagar the building were numbered from 1 to 100.Then how many 1’s will be present in the numbers?
a)18 b)19 c)20 d)21
4)In T.Nagar the building were numbered from 1 to 100.Then how many 0’s will be present in the numbers?
a)18 b)19 c)20 d)11PATTERN 441) A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21. What is the remainder left, when twice the number is divided by 3D?
13 b) cannot be determined c) 3 d) 42
a)11 b)7 c)10 d)12
2)The age of the two friends were in the ration of 6:5.If the sum of their ages is 66.Then after how many years their ratio will become 7:6?
a)11 b)6 c)10 d)12
3) The age of the two friends were in the ration of 2:3.If the sum of their ages is 55.Then after how many years their ratio will become 4:5?
a)11 b)33 c)22 d)44PATTERN 371)A volume of 10936 l water is in a container of sphere.How many semisphere of volume 4l each will be required to tranfer all the water into the small semispheres?
a)2812 b)8231 c)2734 d)4222
PATTERN 381)A person ismanufacturing a house.He bought 20 ropes of wire which has a density of 300 Kg/m3.The height of the building to be constructed is 40 m.If the capacity of the current passed in the wire is 20 A and the voltage capacity is 80 Volts.Then what will be the opposing force to the current if the wire is used ?
a)2 b)4 c)8 d)1600
PATTERN 391)A horse chases a pony 2 hours after the pony runs.Horse takes 3 hours to reach the pony.If the average speed of the horse is 81Kmph.Then what is the average speed of the pony?
a)46.4 b)51 c)53.4 d)48.6
2) A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony?
3) : A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony
PATTERN 40
1)The difference between two no is 9 and the product of the two is 14.What is the square of their sum?
a)120 b)130 c)137 d)145
2) The sum of two no is 5 and the product of the two is 14.What is the sum of their squares?
3) The sum of the squares of two no is 12 and their sum is 15.Find the product of the two no?PATTERN 411) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast.Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
a) 17 b)21.25 c)12.25 d)14.05PATTERN 421)A man goes 50Km north , then turned left walked 40Km, then turned right ? In which direction he is?
a)North b)South c)East d)WestPATTERN 431)In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?
a)18 b)19 c)20 d)21
2)In T.Nagar the building were numbered from 1 to 100.Then how many 6’s will be present in the numbers?
a)18 b)19 c)20 d)21
3)In T.Nagar the building were numbered from 1 to 100.Then how many 1’s will be present in the numbers?
a)18 b)19 c)20 d)21
4)In T.Nagar the building were numbered from 1 to 100.Then how many 0’s will be present in the numbers?
a)18 b)19 c)20 d)11PATTERN 441) A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21. What is the remainder left, when twice the number is divided by 3D?
13 b) cannot be determined c) 3 d) 42
PATTERN
451.)
Ferrari S.P.A is an Italian sports car manufacturer based in
Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia
Ferrari, the company sponsored drivers and manufactured race cars
before moving into production of street-legal vehicles in 1947 as
Ferrari S.P.A. Throughout its history, the company has been noted for
its continued participation in racing, especially in Formula One
where it has employed great success .Rohit once bought a Ferrari. It
could go 4 times as fast as Mohan's old Mercedes. If the speed of
Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari
is 490 km, find the total time taken for Rohit to drive that
distance.
20.72 b) 5.18 c) 238.25 d) 6.18
20.72 b) 5.18 c) 238.25 d) 6.18
2)
Ferrari S.P.A is an Italian sports car manufacturer based in
Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia
Ferrari, the company sponsored drivers and manufactured race cars
before moving into production of street-legal vehicles in 1947 as
Ferrari S.P.A. Throughout its history, the company has been noted for
its continued participation in racing, especially in Formula One
where it has employed great success .Rohit once bought a Ferrari. It
could go 4 times as fast as Mohan's old Mercedes. If the speed of
Mohan's Mercedes is 46 km/hr and the distance traveled by the Ferrari
is 953 km, find the total time taken for Rohit to drive that
distance.
20.72 b) 5.18 c) 238.25 d) 6.18
20.72 b) 5.18 c) 238.25 d) 6.18
PATTERN
461)
A sheet of paper has statements numbered from 1 to 70. For all values
of n from 1 to 70. Statement n says ' At least n of the statements on
this sheet are false. ‘Which statements are true and which are
false?
a) The even numbered statements are true and the odd numbered are false.
b) The odd numbered statements are true and the even numbered are false.
c) The first 35 statements are true and the last 35 are false.
d) The first 35 statements are false and the last 35 are false.
a) The even numbered statements are true and the odd numbered are false.
b) The odd numbered statements are true and the even numbered are false.
c) The first 35 statements are true and the last 35 are false.
d) The first 35 statements are false and the last 35 are false.
PATTERN
471)
A man goes north 37km.turns left goes 2km.turns right goes 17km.turns
right goes 2km. find distance b/w starting ending point.
a) 54 b) 27 c) 81 d) 67
a) 54 b) 27 c) 81 d) 67
PATTERN
481)
If there are 30 cans out of them one is poisoned if a person tastes
very little he will die within 14 hours so if there are mice to test
and 24 hours to test, how many mices are required to find the
poisoned can?
a) 3 b) 2 c) 6 d) 1
a) 3 b) 2 c) 6 d) 1
PATTERN
491)
If a and b are mixed in 3:5 ration and b and c are mixed in 8:5
ration if the final mixture is 35 liters, find the amount of b?
A) 13.34 b) 15.73 c) 16.73 d) 9.45
A) 13.34 b) 15.73 c) 16.73 d) 9.45
PATTERN
501)
If we subtract a number with y, we get 4 increase of number, once it
got divided by y itself... Find that number??
A) 13 b) 12 c) 14 d) 11
A) 13 b) 12 c) 14 d) 11
PATTERN
511)
It is the class with the seating arrangement in 4 rows and 8 columns.
When the teacher says 'start' the girl who is sitting in first row
and first column will say 1, then the next girl sitting behind her
will say 4, the next girl sitting behind that girl will say 7, in a
particular order each girl is telling a number, the following girls
told 10, 13 next turn is yours what u will say?
a) 15 b) 17 c) 14 d) 16
a) 15 b) 17 c) 14 d) 16
PATTERN
521)
It is dark in my bedroom and I want to get two socks of the same
color from my drawer, which contains 24 red and 24 blue socks. How
many socks do I have to take from the drawer to get at least two
socks of the same color?
A) 2 b) 3 c) 48 d) 25
A) 2 b) 3 c) 48 d) 25
2)
Lady has 2 select gloves & hat from a basket. In the dark, she
can distinguish hat&gloves.14red, 20blue, 18green r there. Find
probability that any selected glove pair has same color.
3).A
lady had fine gloves and hats. 25 blue, 7 red and 9grey. She had to
select a pair among them. But there was no light so she had to select
in darkness the correct pair with a glove and a hat. Therefore how
many combinations of same color she can select?
PATTERN
531)
If the Valentine’s Day in 2005 falls on Monday, then on which day
will the Valentine’s Day fall on 2010?
A) Saturday b) Thursday c) Wednesday d) Sunday
A) Saturday b) Thursday c) Wednesday d) Sunday
PATTERN
541.
A person run from A to B.He took ¼ of the time less to reach B when
compare to run at normal Speed.Then how many percentage he has
increased his speed?
a)40 b)44.4 c)33.3 d)22.2
2. An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?
a)40 b)44.4 c)33.3 d)22.2PATTERN 551. In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m.If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?
a)320 b)380 c)340 d)300PATTERN 561. One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?
a)21,500 b)30,000 c)21,000 d)20,000PATTERN 57
1. In a hotel we can order two types of varities,but we can make 6 more variteis in home.One can choose the four varities with two from hotel as must.Find how many ways one can order.
a)14 b)15 c)56 d)28PATTERN 581. If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more.Now the tank is full then how much time will it take to empty the tank throught the leak.?
a)78 b)56 c)66 d)59PATTERN 591.The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true?
a)P=1/3+1/5*3 b)P=1/5*(1/8-3)
2. There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probability
A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3)PATTERN 60
1. There was a grand mother in a village who had a grand child.Upon asking her grand childs age she told that she is as older as many days old as her daughters age in weeks and as many days as her own age in years.The sum of the three is 130.then how old is the child.?PATTERN 611) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?
a)18 b)19 c)20 d)21
2) In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?
a)40 b)44.4 c)33.3 d)22.2
2. An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?
a)40 b)44.4 c)33.3 d)22.2PATTERN 551. In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m.If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room?
a)320 b)380 c)340 d)300PATTERN 561. One man want to build a wall .The length and breadth of the wall are 20 and 30 respectively. He need 35 bricks for one square centimeter then how many bricks he need?
a)21,500 b)30,000 c)21,000 d)20,000PATTERN 57
1. In a hotel we can order two types of varities,but we can make 6 more variteis in home.One can choose the four varities with two from hotel as must.Find how many ways one can order.
a)14 b)15 c)56 d)28PATTERN 581. If a pipe can fill the tank within 6hrs.But due to leak it takes 30 min more.Now the tank is full then how much time will it take to empty the tank throught the leak.?
a)78 b)56 c)66 d)59PATTERN 591.The bacteria has the probability of split into 3 and probability to die is 1/3rd of the total bacteria.Let the probability is P.Some of them survived with probability 1/5.Then which among the following relation is true?
a)P=1/3+1/5*3 b)P=1/5*(1/8-3)
2. There is a bacteria which has the probability of die 1/3 of its total number or it may tripled. Find out the probability
A. P=1/3+(2/3*p^3) B. P=2/3+(2/3*p^3) C. P=2/3+(1/3*p^3) D P=2/3+(2/3*p^3)PATTERN 60
1. There was a grand mother in a village who had a grand child.Upon asking her grand childs age she told that she is as older as many days old as her daughters age in weeks and as many days as her own age in years.The sum of the three is 130.then how old is the child.?PATTERN 611) In T.Nagar the building were numbered from 1 to 100.Then how many 4’s will be present in the numbers?
a)18 b)19 c)20 d)21
2) In Tnagar many buildings were under residential category.for buildings they number as 1 to 100. For shops, corporation numbered between 150 and 200 only prime numbers. how many time 6 will appear in building numbering?
PATTERN
621)Amrith
told to Anand in front of a Photo that “He is the son of my
father’s son”.Find who is in the picture if amrith have no
brothers and sisters.
a)Amrith himself b)Amrith’s Uncle c)Amrith’s Father d)Amrith’s son
2) One person has no siblings and says,” the guy in the photo is the only son of my father ‘s son”. What is the relation of the guy to the person?PATTERN 631) One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?
a)18 b)22 c)30 d)10.
2) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?
3) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?PATTERN 641) In a school, for a student out of 100 he got 74 of average for 7 subjects and he got 79 marks in the 8th subject. what is the average of all the subject?
a)76.251 b)80.25 c)74.265 d)74.625PATTERN 651) 3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said”that B & C said to A that” B said “yesterday way one of the days when I lies”,C said that”yesterday way one of the days when I lies too”.then which day was that?
a)Sunday b)Thursday c)Saturday d)TuesdayPATTERN 661) Which is the smallest no which divides 2880 and gives a perfect square?
a)4 b)9 c)3 d)5PATTERN 671) How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
a)57 b)56 c)59 d)58
2) how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?
3) By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??
4) Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?
5) How many of 14 digit numbers we can make with 1,2,3,4,5 that are divisible by 4. Repetitions allowed.
a)Amrith himself b)Amrith’s Uncle c)Amrith’s Father d)Amrith’s son
2) One person has no siblings and says,” the guy in the photo is the only son of my father ‘s son”. What is the relation of the guy to the person?PATTERN 631) One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?
a)18 b)22 c)30 d)10.
2) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?
3) One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’s age and eldest child’s age is two times of sum of other two children. What is the age of eldest child?PATTERN 641) In a school, for a student out of 100 he got 74 of average for 7 subjects and he got 79 marks in the 8th subject. what is the average of all the subject?
a)76.251 b)80.25 c)74.265 d)74.625PATTERN 651) 3 persons a,b,c were there A always says truth,B lies on Monday,tusday,& Wednesday.but C lies on thrusday,Friday & saturday .one day A said”that B & C said to A that” B said “yesterday way one of the days when I lies”,C said that”yesterday way one of the days when I lies too”.then which day was that?
a)Sunday b)Thursday c)Saturday d)TuesdayPATTERN 661) Which is the smallest no which divides 2880 and gives a perfect square?
a)4 b)9 c)3 d)5PATTERN 671) How many 9 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
a)57 b)56 c)59 d)58
2) how many 13 digit numbers are possible by using the digits 1,2,3,4,5 which are divisible by 4 if repetition of digits is allowed?
3) By using 1,2,3,4,5,how many 5 digit no. can be formed which is divisible by 4,repetation of no. is allowed??
4) Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible by4?
5) How many of 14 digit numbers we can make with 1,2,3,4,5 that are divisible by 4. Repetitions allowed.
PATTERN
681)
Consider two tumblers, the first containing Water and next contains
coffee. Suppose you take one spoon of water out of the first tumbler
and pour it into the second tumbler. After moving you take one spoon
of the mixture from the second tumbler and pour it back into the
first tumbler . Which one of the following statement holds now?
a) There is less coffee in the first tumbler than water in the second tumblers
b) There is more coffee in the firs tumbler than water in the second tumbler
c) There is as much coffee in the first tumbler as there is water in the second tumbler
d)None of the statements holds true
2) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?PATTERN 691) Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?
a) 8 b)All are equally likely c)9 d)10PATTERN 7069) Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is
a) 3 b)5 c)2 d)8
a) There is less coffee in the first tumbler than water in the second tumblers
b) There is more coffee in the firs tumbler than water in the second tumbler
c) There is as much coffee in the first tumbler as there is water in the second tumbler
d)None of the statements holds true
2) Two bowls are taken, one contains water and another contains tea.one spoon of water is added to second bowl and mixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will hold good for the above?PATTERN 691) Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?
a) 8 b)All are equally likely c)9 d)10PATTERN 7069) Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is
a) 3 b)5 c)2 d)8
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