Thursday, August 22, 2013

TCS MORE QUESTIONS

MORE QUESTIONS
1) Horse started to chase dog as it relieved stable two hours ago. And horse started to ran with
average speed 22km/hour, horse crossed 10 mts road and two small pounds with depth 3m, and
it crossed two small street with 200 mts length. After travelling 6 hrs, 2 hours after sunset it got
dog. Compute the speed of dog?
Ans: As we have speed and travel time of horse, we can get distance travelled by it.
Hence d = 22*6 = 132km,
Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr                        Ans: 16.5km/hr.
2) (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac,
Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following
conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together;
Woody and Balsamic never go together. Lemon can be added with any material. (Actually they
had also mentioned how much amount of one can be added with how much quantity of the
other; but that's not needed for the question.) All of the following combinations are possible to
make a perfume except:
1) Balsamic and Lilac2) Woody and Lemon3) MI mosaic and Woody4) MI mosaic and Lilac
3) John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper
exchanged the cheque with his neighbour 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?
Ans: Is 23(cost price 19 + change given 4).
4) 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   Ans: Is 28.
5) 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 you divide 31p so that you will provide the
exact change required and carry as less coins as possible?
a) 22 b) 31 c) 6 d) 32      Ans: Is 6
6) There are 11 boys in a family. Youngest child is a boy. Probability is 1 that of all are boys out
of?        a) 2 b) 2! C) 2048 d) 1024           Ans:1024
7) 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?
Ans: Second liquid in first bowl is smaller than the first mixture in second bowl)
8) 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 Feraari 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.           a) 20.72 b) 5.18 c) 238.25 d) 6.18            Ans: b

9) 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.        Ans: d
10) Middle earth is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits
and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art.
The dwarves and the men engage in physical games. The game is as follows . A tournol 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 a knock-out tournol how many matches were
played?
a) 257 b) 256 c) 72 d) 255
Ans: b
11) A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 black. The lights are out
and it is totally dark inspite 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 colour?
a) 50 b) 8 c) 60 d) 42
Ans:50
12) Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle
with each coin touching two other coin. Two of the coins are special and the rest are ordinary.
Alok starts and the players take turns removing an ordinary coin of their choice from the circle
and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring
the special coins adjacent to each other and the first player to do so wins the game. Initially the
special coins are separated by two ordinary coins O1 and O2. Which of the following is true?
a) In order to win, Alok should remove O1 on his first turn.
b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.
c) In order to win, Alok should remove O2 on his first turn.
d) Alok has no winning strategy.
13) 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. I didn’t remembered last option and I don’t
know answer.
14) Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed
great success. If Mohan's Ferrari is 3 times faster than his old Mercedes wich gave him 35kmph
if Mohan travelled 490 km in his ferrari the hw much time(hours) he took?
a) 8 b)4 c) 7 d) 7.33
(Options may be different)
15) In an exam there are total 12 questions. From the first 4 questions a student has to answer 2
questions which are compulsory. And he has to answer 5 from the rest. In how many ways he
can answer questions.
Ans: 4c2*8c5 ( it is combination problem)
16) A gun has a nozzle velocity 330 mt/sec. It has to meet a target which is at a distance 5km. It
retards at a rate of 8 mt/sec/sec while travelling in air. Find the velocity at a place where the
bullet will meet the target.
Ans: You=330mt/sec s=5km=5000mt apply formula v2=u2-2as
V=?

17) For school children a software was designed.\In that \software one monkey has to choose
balloons. If a monkey chooses 2 at a time and continues picking then 1 baloon is left. If it picks
5 at a time then the remaining is zero,if it picks 6 at a time then remaining is 3. What is the total
number of balloons?
a) 72 b) 75 c) 79) d) 80
Ans: 75 ( Just devide the choosing patten in the number and check whether you are getting the
remainder as the remaining value). If it chooses 6 at a time and continues then 75-(12*6)=3
which satisfies the condition
18) There are two statements. There is also a question. Choose 1 if the question can be
answered by using either one. Choose 2 if the question can be answered using both the
statements. Choose 3 if the question can not be answered using these two statements
Statement1: Avinash spends 30% on house rent, 20% on children’s education,40% on foods
Statement 2: Pritam spends 20% on house rent, 45% on children’s education,20% on food
Question: If pritam spends more than avinash on foods who spends more on children’s
education?
The question can be answered by
a) 1 b) 2 c)3
Ans: c
19) A hollow space on earth surface is to be filled. Total cost of filling is Rs20000. The cost of
filling per mt3 is Rs 225 .how many times a size of 3 mt3 soil is required to fill the hollow space?
Ans: 20000/225=88.88
88.88/3=29.62
So 30 times of 3 mt3 is required to fill the space completely
20) There are different things like p,q,r,s,t,u,v. We can take p and q together. If r and s are taken
together then t must has to be taken. u and v can be taken together.v can be taken with p or s.
every thing can be taken together except
a)p b)t c)v d)s
Ans: t
21) New town is straight to the north of New york. A high way M runs from newtown making an
angle of 61 degree south east. from newyork there is also an high way N which runs northeast
61 degrees.if high ways M and N are straight then findout the acute angle made at their
intersection point.
Ans: 180-(61+61)=58 (the high ways make a triangle the addition of 3 angles of a triangle is
180)
22) There are 7 meetings A,B,C,D,E,F,G .one meeting should happen in one day. Meeting A is on
Sunday c and d meetings should happen after B. Then E ,F,G meetings should occur in three
conjucutive days. And meeting g is on Saturday. Then meeting the should occur on which day?
a) sun b) mon c)wed d)fri
Ans: c
23) There are 9 weights like 16,19.156.26, 106,15,24,36 (in kg). There are three persons like
rohit, sameer and imran. each lifts 3 types of weights. Rohit”s total lifted weight is 2 times than
the weight lifted by rohit. What is the weight lifted by imran?
Ans: Total weight=16+19+156+26+106+15+24+36=398 kg
Suppose option is y kg lifted by imran(choose from option) then 3x+y=398
=>x=(398-y)/3 here x should be a whole number then y is the weight lifted by imran.
It was very easy exam as compared with other company written exams. Test contains 35 questions, only from
quantitative, in 60 minutes. You can get through if you prepared with previous papers. Questions which i got
in exam are.
1) Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17
hours what time it will take to get completely filled
Ans 21


2) 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?
3) Find (4x+2y)/ (4x-2y) if x/2y=2
4) Find average speed if a man travels at speed of 24kmph up and 36kmph down at an altitude of 200m.
Formula is 2xy/(x+y)
5) Same model as 4th question. But it is on flat surface. Formula is same 2xy/(x+y).
6) Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they
have to select 2 flavors from 6 flavors. In how many ways we can select?
Ans: 6C2
7) 3, 15, x, 51, 53,159,161. Find X
Ans: 17
8) 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure
there weights in some order IN 7 rounds. A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg
then find the average weight of all the 7 rounds?
Ans: 4(155)/7=31
9) There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being
defective. What is the probability that same musical sound would be produced 5 times
consecutively? (1 of )?
Ans: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
10) (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac,
Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following
conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together;
Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had
also mentioned how much amount of one can be added with how much quantity of the other; but
that's not needed for the question.) All of the following combinations are possible to make a
perfume except:
1) Balsamic and Lilac
2) Woody and Lemon
3) MI mosaic and Woody
4) MI mosaic and Lilac
11) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not
remember the numerical value). What will be the area of the square made from the same rope?
Ans: ((A+B+C)/4)2
12) 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).
Ans: sqrt ((d/a) 2+ (d/c) 2)
13) A scientist in Antarctic region conducts research on bears came to know that bears changes
according to the location .once he moves 1 mile towards north, then he moves 2 miles towards
east, then 1 mile towards south. Now the color of bear he found will be in:
Ans: white
14) (1/3) of a number is 3 times more than the (1/6) of the same number?
Ans is 18
15) There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?
a) 2 b) 2! C) 2048 d) 1024
16) A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches
wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question
is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1
yard each is?
Ans is 2(141) =242
17) 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?
Ans is 15 pounds

18) 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?
Ans is 23(cost price + change given).
19) 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?
Ans is 4 boys and 3 girls
20) There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange.
Power gone. But a woman can differentiate between hats and gloves.How many draws are
required to obtain a pair of each color.
21) 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.
I didn’t remembered last option and I don’t know answer.
22) 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the
present age of B in binary form?
I didn’t remember the exact values of x and y. You can solve easily.
23) 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?
Ans is (z-1) (y-x) +x.
24) 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
25) 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
Ans is 28.
26) There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme
positions and in the middle position. C always sits in the extreme positions. Who is sitting
immediate right to E?
Ans is B or C
27) 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?
Ans is 12C2
28) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some
unrelated stuff) Linda is taller than and taller than 2 of 1000 pillars. Julia is shorter than Linda.
Find the correct sentence?
a) Linda is shorter among them
b) is taller than Julia
c) is shorter than Julia
d) Cannot determine who is taller among Chelsea and Julia
Ans: d
29) 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) 22 b) 31 c) 6 d) 32
Ans is 6
30) There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as
Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?
Ans is 20
31) A lady took out jacket and gloves, which are avialable in blue 26, yellow 30 and red 56.
Power goes off, she can distinguish between gloves and jacket but not in colors. What's the
possibilty their she will pick up pair of gloves of each color.
32) 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?
(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)
33) Rearrange and categorize the word ‘RAPETEKA’?
Ans: bird(parakeet)
34) A lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks
truths on other days. One day a said I lied today and B said I too lied today. What is the day?
35) 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?
Ans: 18
I attempted 27 questions. Result was declared in the evening and my name was among the
successful guys. I was so happy. Then they asked us 2 come on 28th Sept at 11:30 AM as it was
getting late that day.
,how old is pet?
2) Block has 10,9,5 size, how many unit cube is needed to make a block of that size?
3) 23 people are there, they are shaking hands together, how many hand shakes possible, if they
are in pair of cyclic sequence.
Ans-22
4) 10men and 10 women are there, they dance with each other, is there possibilty that 2 men are
dancing with same women and vice versa.
Ans-never
5) A lady took out jacket and gloves, which are avialable in blue 26, yellow 30 and red 56. Power
goes off, she can distinguish between gloves and jacket but not in colors. What's the possibilty
their she will pick up pair of gloves of each color
6) B is taller than j and 3 pillers. P is shorter than B and 2 pillers is j shorter/taller than P?
Ans-irrelevant question
7) Sangakara and ponting selects batting by using a dice, but dice is biased so to resolve ponty
takes out a coin, what is the probability that dice shows correct option.
8) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 58 wheels in
the campus. How many bicycles are there?
Ans: 7
9. 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?
(Ans: second liquid in first bowl is smaller than the first mixture in second bowl)
10. Which is the smallest no divides 2880 and gives a perfect square?
a. 1 b.2 c.5 d.6
Ans: c
11. Form 8 digit numbers from by using 1, 2,3,4,5 with repetition is allowed and must be divisible
by4?
a. 31250 b.97656 c.78125 d.97657
Ans: c


12. One problem on (a3-b3)/(a2+ab+b2)
Ans: ‘a-b’
13. Rearrange and categorize the word ‘RAPETEKA’?
Ans: bird(parakeet)
14. Key words in question (Fibonacci series, infinite series, in the middle of the question one
number series is there. I got the series 3 12 7 26 15 b?
Ans:54
(Logic: 3*2+1=7 12*2+2=26
7*2+1=15 26*2+2=54)
15. A father has 7 penny’s with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe 1p.
He has three sons. How can he share the fruits equally?
Ans: 1 watermelon, 2chickoos, 1grape
16. A lies on mon, tues, wed and speak truths on other days, B lies on thur, fri, sat and speaks
truths on other days.. one day a said I lied today and B said I too lied today. What is the day?
17. Man, Bear, North, South, Walks.
Ans: White
18. (1/2) of a number is 3 times more than the (1/6) of the same number?
Ans: 9(for any no it can be true)
19. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time.
Likewise B can fill 10, 20, 40, 80,160. If B filled in (1/16) th of a tank in 3 hours, how much time will
it take to fill completely?
Ans: 7 hours
20. Keywords: T.Nagar, Chennai, 1-100, prime numbers b/n 140-180, How many 2’s are there?
Ans: 20 (Not only 2’s ,1’s,3’s,4’s,5’s,6’s,7’s,8’s,9’s,0’s also 20)
21. One question has last part like difference between two terms is 9 and product of two numbers
is 14, what is the squares of sum of numbers?
Ans: 109
22. A man is standing before a painting of a man and he says I have no bro and sis and his father
is my father’s son?
Ans: His son
23. What is the value of [(3x+8Y)/(x-2Y)]; if x/2y=2?
Ans: 10 {the numerical may change)
24. A pizza shop made pizzas with to flavours.in home there are ‘N’ different flavors, in that ‘M’
flavors are taken to made pizza.in how many ways they can arrange?
(Logic: NcM )
25. 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?
Ans: 18
26. In a market 4 man are standing. The average age of the four before 4 years is 45, aftyer some
days one man is added and his age is 49. What is the average weight of all?
Ans: 49
27. Keywords: One organization, material, labor and maintenance are in the ratio of 4:6:7, the
material cost is: 100, what is the total cost?
Ans: 425
28. Keywords: Density, Reluctance, Sensitivity, Voltage, Current, what is the Resistance Formula is
“R=V/I”
29. Keywords: Sports readers, 10 tables, 4chairs per table, each table has different number of
people then how many tables will left without at least one person?
Ans : 6
30. Keywords: Die, card, coin, b/n 2 to 12
Ans: All are equal


31. In a school for a student out of a 100 he got 74 of average for 7 subjects and he got 79 marks
in 8th subject. what is the average of all the subjects?
The extra 5 marks will be distributed in 8 semester, 5/8=.625
74+.625=74.625
32. In a question ,last part has ,the ages of two people has the ratio of 6:5 and by adding the
numbers we get 44,after how many years the ratio would be 8:7?
Ans: 8
33. Two years before Paul’s age is 2times the Alice age and the present age of Paul is 6times the
Alice. What is the presents Paul’s age?( 3years) “You try to solve this question once”
34. One train travels 200m from A to B with 70 km/ph. and returns to A with 80kmph, what is the
average of their speed?
Just go and hit't
1) Ramu & Sangeetha went for biological analysis to a island which is 34km from their place.
They travelled in a boat which went at a speed of 2m/s. when they are in half a distance in the
boat sangeetha note there are 7 leg & 8 leg octopuses under the water. Ramu counted the total
number of legs of octopuses and got 54. Sangeetha instantly said I know how many 7 leged
octopuses are there under the water. They both reached the island after 20 min they left . How
many seven leged octopuses does sangeetha calculate?
1. 4 2. 5 3. 6 4. 7
Ans: Total number of legs of both 7 & 8 leged octobus = 54. Find number of 7 leged octopuses
Go from answer
4(7 leged octobus) + X = 54.
5(7 leged octobus) + X = 54. Similarly do for all. The x you get should be exactly divisible by 8.
Only one answer will satisfy the condition.
Note: You may find lot of nonsense stuff to test verbal ability. Just take required data alone. From
the next question onwards I post necessary data only.
2) Total number of wheels of bicycles & 4 wheeled vechicles is 38. How many bicycles are there?
( This question has more than 6 lines to test your verbal abilty)
Ans: Similar to above. Go from answer
Choices from answer( 2 wheelers) + X = 38. X should be exactly divisible by 4
3) Jumbled sentences given APPRAKEET. What is the meaning.
PARAKEET
Ans: Bird
4) Logical problem asking for the colour of beer
Ans: White
5) There are 14 spots. Each spot has 8 seats. 28 people seated in all the spots. No similar number
people sat in any spot. How many spots left with no people at all
Ans: 1+2+3+4+5+6+7 = 28. So remaning 7 spots has no people at all
6) Can A has milk. Can b had water. A spoon of milk from can A is added to Can B. Then from the
mixture same amount is taken from Can B and added to Can A.
Ans : Can A contains less item than item in Can B
7) There is a plane contains 32 points. All the 32 points have equal distance from point x.
Which of the following is true
A: All the 32 points lie in circle.
B: The distance from x to all 32 points is less then the distance between each other
Ans : A only
8) Horse ran at speed of 34kmph. Pony started after 2 hours. Horse ran for 4 hours. What is the
speed of pony?
Ans: (34*4)/(4+2)
9) A clock gives 4 ticks consequetively. After days it has become defective & gives only 2 ticks.
What is the probability that clock produces 3 ticks consequetively. 1 out of ?
Ans: 1/8


10) Person points to a photo and says the main in the picture is the son of my fathers son. What is
the relationship between him & person in the photo?
Ans: he himself
11) There is a cloth of 153 yards length. X has to cut the cloth into 153 pieces. He takes 5 seconds
to cut each piece how much time he require to cut all 153 pieces?
Ans: 152*5
12) Ferrari is leading car manufacturer.*Ferrari S.p.A.* is an Italian sports car. It has enjoyed great
success. If Mohan's Ferrari is 3 times faster than his old MERCEDES wich gave him 35 kmph if
Mohan travelled 490 km in his ferrari the hw much time(hours) he took?
Ans: 490/35*3
13) Jagan lies on Monday Tuesday Wednesday
Pradeep lies on Wednesday Thursday Saturday.
Jagan says I didn’t lie yesterday. Pradeep also says that I didn’t lie yesterday. What day is today?
Ans: Sunday
14) The ratio of current age of X and Y is 5:7. After how many years their age becomes 7:9?
Ans: Simple ratio
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?
Ans: 2500 (not sure)
XY=21 and X+Y=13. Ans of X & Y will be in points then x square+y square=?
Ans: Solve using quadratic eqn. you get x & y
15) Person travels from A- to b in 9km/hr, and B to A in 4 Km/hr. What is the average speed?
Ans : 2(9*4)/9+4
16) Find total cost to build a robot. The cost of spare parts use to bulid it is in the ratio 4:5:3. The
cost of spare parts are $40, $50, $60.
Ans: Simple ratio. I don’t remember the question exactly but all you do is to add $40+$50+$60
to get the answer
17) Pizza shops make pizza of same thickess and different diamester. Cost of 8cm is 80, 12 cm is
240, 24 cm is 720. Which pizza gives best value for money?
Ans: Divide cost by cm & compare with others. Hint. Take smallest one and multiple till you get
the largest pizza. Then compare both you get the answer
18) Average marks of 5 sub is 61. Six sub mark is 89. What is the average after adding 6th?
Ans: (61*5) + 89/6
19) Find number of 3’s between 1 & 100?
Ans: 19
20) A pipe can fill a tank at the rate 1 litre/hr, the tank is 1/32 filled in 6 hours. After how many
hows the tank is filled completely
Ans: 1/16, 1/8, ¼, ½, 1. After 5 hours.
Aptitude test:
The aptitude test consists of 35 questions and here we have been given negative marking of 0.33
per wrong answer. At the selection the bench mark was 22marks. Its an easy test where more than
25 questions can be cleared easily.
Never try to solve the questions first that have more number of lines. Try to read last line of the
questions because first lines will be of unrelevated data coming to questions first search for the
numerical data in the questions and just the logic how the questions can be solved
1. Which is the smallest no divides 2880 and gives a perfect square?
a.1 b.2 c.5 d.6   Ans: c
2. In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in
the campus. How many bicycles are there?         Ans: 15
3. Man, Bear, North, South, walks. Colour of bear(Hint: North pole )          Ans: White
4. A father has 7 pennys with him and 1 water melon is for 1p, 2chickoos for 1p, 3 grapes foe
1p.he has three sons. How can he share the fruits equally?
Ans: 1 watermelon, 2chickoos, 1grape
5. (1/2) of a number is 3 times more than the (1/6) of the same number?
Ans: 9
6. There are two pipes A and B. If A filled 10 liters in hour B can fills 20 liters in same time.
Likewise B can fill 10, 20, 40, 80,160.if B filled in (1/16) th of a tank in 3 hours, how much time
will it take to fill completely?
Ans: 7 hours
7. In a market 4 man are standing .the average age of the four before 4years is 45,aftyer some
days one man is added and his age is 49.what is the average weight of all?           Ans: 49
8. There are 10 reading spots in a room. Each reading spot has a round table. Each round table has
4 chair. If different no of persons are sitting at each reading spot. And if there are 10 persons
inside the room then how many reading spots donot have atleast a single reader.
(1) 5 (2) 6 (3) 7 (4) None             Ans 6.
because different no of persons are sitting on round table. So possible differnt combinations
for 10 people will be 1 2 3 4. because max 4 people can sit on round table. so round tables left are
6.
9. A person do rock climbing at an altitude of 800 m.He go up by 7 mph. and come down by 9
mph. what was his av speed.
Ans (7+9)/2=8.
10. A boy want to make a cuboid of dimension 5m, 6m, 7m. from small cubes of .03 m3. later he
realized he can make same cuboid by making it hollow. Then it take some cubes less. What is the
no. of these cube.
Ans. Vol of solid cuboid= 5*6*7=210 m3. Vol of its inner cuboid by removal of which the cuboid will
be hollow= (5-2)*(6-2)*(7-2)=60 m3, then ans will be 60/.03
11. Two years ago A was 6 times older than B. Now he is 2 times older than B. What is the age of
A.
Ans. Age of A=5, Age of B= Two and half.
12. What is thew value of (78*78*78-45*45*45)/(78*78+78*45+45*45)
Ans. 78-45=33. a3-b3=(a-b)(a2+ab+b2)
I remember only some of these questions. Also prepare the following topics:
Ages, percentages, numbers, simplification, profit and loss, time and work, time and distance
1. The ticket for a journey is in the range of 1 to 63 paise.
You have 63 paise in your pocket and so on. And the question is you have to change the money
into coins and all denominations are available. At final you have to buy the ticket and you should
have at least one coin?(not same figures)
Ans: 64 (just add 1 to highest i.e. 63+1)
2. The sum of two numbers is given and product is also given find the square of difference of two
numbers.
Ans:(a-b)2=a2+b2+2ab.
3. The dog and here are running. dog crosses the roads, rivers and different. Here start running
after 2 hours of dog running. dog runs 30kmph in 6 hours. Then what is the averge speed of
here?
(values are not same)
Ans: 30*6/4
4. In a restaurant there are differnet 9flavours of pizzas.
Ans: n
c
m
5. A length of rod is turned into triangle. The sides of a triangle are 12,16,10. if this rod is turned
into square then find the area of the square?
Ans: rod length=12+16+10=38
length of the side os a square=38/4;
area=(38/4)*(38/4)
6. There are some chocolates. A woman can eat 3 chocolates and a man can eat 1 chocolate
and a child can eat half chocolate. Then 20 chocolates is divided in.
Ans: Go through the options(5Woman, 3man, 4children).
7. A water tank is filled in the way as 256,128,64,. the parts in every hour. Then in how many
hours the tank will filled?
Ans: 256,128,64,32,16,8,4,2,1 ( 9 hours) values are not same.
8. The age of ram and sam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is
the present age of sam?
Ans: 12years (names and values may change)
The result of written test is given with in 24 hours time and by luck am one of the shortlisted
candidates.
And the remaining rounds are conducted for me 2nd September
Note: Among these 35 questions few questions are very very simple questions.So first solve out
those easy questions and then move to lengthy questions.There will be option to skip a question
and answer it later.
1. One man want to build a wall the length and breadth of the wall are 20, 30 respectively. He
need 35 bricks for one square centimeter then how many bricks he need?
Ans: l*b*35(no of bricks needed for sqcm)
2. One person had three children. He has 7 pennis. Then how he can distribute the fruits among
his child by folloing conditions.
a)he can get one water millon for 1 penny.
b)he can get 2 oranges for 1 penny.
c)he can get 3 grapes for 1 penny.
Ans: 2 water millon 1 orange 1 grape
3. 1/3 rd of a number is more 3 than the 1/6th of a number then find the number?    Ans:18
4. 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?
Ans:
For 1 to 10 - 1 six
2 to 20 - 1 six
Similarly upto 59 we utilise six, 5 times
from 60 to 69 (including 66) - 11 times
from 70 to 100 - 3, hence ans = 5+11+3 = 19
Ans:19.
5. One grand father has 3 grand child. Eldest one age is 3 times of the youngest child age. Sum of
two youngest child age is more than two of eldest one age. Find the eldest one age?
Ans: 15(we can easily predict from options, as we take y as 15)
6. Difefrence between two numbers is 4 and their product is 17. Then find the sum of their
squers?
Ans: 70 (By using (x-y)2=x2+y2-2xy)
7. I don't remember exactly the question, one logical problem stating the colour of beer?
Ans: white.
8. Find category from following Jumbled letters, parakeet(answer)
Ans: Bird(category)
9. Which is the smallest digit when devides the 2880 gives perfect squre.?
Ans:5(we can easily predict from options, as we devides them with 2880)

10. One question like. formule?
Ans: Here you can use the (a-b)3=(a-b)(a2+ab+b2)formule).
11. I don’t have any brothers and sisters.by pointing a picture that man said that his father is my
fathers. Son then who is he?
Ans: His son.
12. 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?
Solution: Here the question appear as an easy one, but carried a lot of unwanted sentences and
unwanted datas(i didn't mention above) in exam which may confuse you on solving technique.
So now we can compute x from above equation. (x = 41, 6x = 246)
Let now we compute y,((6x+y)/7) = 45, as we have value of x, compute y.
Ans: 69
13.The ratio between the ages of two pwrsons is 6:5 and sum of there ages is 77 then how many
years later there ratio becomes 8:7?
Ans: we can easily predict from options
14. Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with
average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it
crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog.
compute the speed of dog?
Ans: As we have speed and travel time of horse, we can get distance travelled by it.
Hence d = 22*6 = 132km,
Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr
Ans:16.5km/hr.
15. Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there
they has to select 2 flavors from 6 flavors what’s chanses to select?
Ans:6C2
16. 3, 22 , 7, 45, 15, ? , 31
Solution: Here it appear simple, because it arranged in arranged in sequence manner, but the
actual question was some what twist mentioning fibonacci series and more over question was in
statements (no numbers). Hence first try to understand the question well.
Here let group alternate terms 3,7,15,31 (3+4 =7, 7+8 =15, 15+16=31)
Similarly for second group (22,45,? (22+23 = 45, 45+46 = 91) hence ans is 91.
17. Cycles and 4 wheelors problem?
Ans: We can easily predict from options
18. Some irrivvelent data.in last two lines problem will be there. One man walks certain distance
with 5 kmph and walk back the same
Ans: A
19. A and B tanks r there.1/8th of the tank B is filled in 22Hrs.what is time to fill the tank full?
Ans: I don’t know.
20. 5 friends went for week end party to Mc donalds restrurent and there they measure there
weights. Some irrilevent data. Final measure is 155 kg then find the average weight of 5 people?
Ans: 155/5=31
21. 2 pots are there. 1st pot is filled with ink and 2nd pot is filled with water. Take 1 spoon of ink
from 1st pot and pore it in 2nd pot and take 1 spoon of mixture from 2nd pot and pore it in 2nd pot
then which one of following is true?
Ans: Water in 1st pot is less than the ink in 2nd pot.
22: One electronic problem?       Ans: V=IR
23.There r ten spots in library and each spot has 4 tables and ten readers ar there . sorry I don’t
remember complete question?    Ans: None

24. Lion and tiger are there. Lion lies on Monday, Tues, Wends and Tiger lies on Thurs, Frid,
Sat. Lion said that today is one of those days when I lies. Tiger said that today is one of those days
when I lie too. Then find today?
Ans: Thursday
For Remaining problems I remember the topics they have covered they are probability, Time and
Distance.
Note: Don't attempt more than 27 questions out of 35. There will be highest cutoff.
All the best.
1) 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
2) Paul the octopus who has been forecasting the outcome of FIFA world cup matches with
tremendous accuracy has now been invited to predict ICC world cup matches in 2011. We will
assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each
team in a group plays the other teams in the group. The top two teams from each group enter
the semi finals (after which the winner is decided by knockout).
However, Paul has a soft spot for India and when India plays any team, Paul always backs India.
Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify
for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability
that India will win the ICC world cup?
a) (2/3)^10 b)(2/3)^9 + 8/3 * (2/3)^9 c) 8/3 * (2/3)^9 d) (2/3)^10 + 8/3*(2/3)^9
3) Toy train produces at least 10 different tunes when it moves around a circular toy track of
radius 5 meters at 10 meters per minute. However , the toy train is defective and it now
produces only two different tunes at random. What are the odds that the toy train produces 4
consecutive music tunes of the same type?
a) 1 in 16 b) 1 in 4 c) 1 in 8
4) 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?
a) 13 b) cannot be determined c) 3 d) 42
5) 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) 10
6) One day Alice meets pal and byte in fairyland. She knows that pal lies on Mondays, Tuesdays
and Wednesdays and tells the truth on the other days of the week byte, on the other hand,
lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now
they make the following statements to Alice – pal. Yesterday was one of those days when I lie
byte. Yesterday was one of those days when I lie too. What day is it ?
Thursday b) Tuesday c) Monday d) Sunday         Ans: a
7) A car manufacturer produces only red and blue models which come out of the final testing
area completely at random. What are the odds that 5 consecutive cars of the same color will
come through the test area at any one time?
c) 1 in 16 ci) 1 in 12 cii) 1 in 32 ciii)1 in 25
8) Alok is attending a workshop “How to do more with less” and today's theme is Working with
fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if
mankind(as well as womankind) had only worked with fewer digits.
The problem posed at the end of the workshop is
How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition)
that are divisible by 4?
Can you help Alok find the answer?
a) 100 b) 125 c) 75 d) 85
9) Rearrange the following letters to make a word and choose the category in which it Ms
RAPETEKA
a) Bird b) Vegetable c) City d) Fruit
10) 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) 12.06
11) In the reading room of a library, there are23 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
12) 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 Feraari 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.
a) 20.72 b) 5.18 c) 238.25 d) 6.18
Ans: b
13) 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.
14) Middle – earth is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits
and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art.
The dwarves and the men engage in physical games. The game is as follows . A tournol 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 a knock-out tournol how many matches were
played?
a) 257 b) 256 c) 72 d) 255
Ans: D
15) A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain set of
laboratory experiments . To identify the mice, the lab has prepared labels with numbers 1 to 100 ,
by combining tags numbered 0 to 9. The SPCA requires that the tags be made of toxin-free
material and that the temperature of the cages be maintained at 27 degree Celsius. Also , not
more than 2 mice can be caged together and each cage must be at least 2 sq.ft in area. The 5
experiments to be conducted by lab are to be thoroughly documented and performed only after a
round of approval by authorities. The approval procedure takes around 48 hours. How many times
is the tag numbered '4' used by the lab in numbering these mice?
a) 9 b) 19 c) 20 d) 21
16) There are two water tanks A and B, A is much smaller than B. While water fills at the rate of
one litre 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 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what
is the total duration required to fill it completely?
a) 26 hrs b) 25 hrs c) 5 hrs d) 27 hrs
Ans: a
17) Consider two tumblers, the first containing one litre of 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 tumbler.
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.
18) Francois Pachet , a researcher at Sony Computer Science laboratories is also a jazz musician.
He decided to build a robot able to improvise like a pro. Named Continuator, the robot can duet
with a live musician in real- time. It listens to a musical phrase and then computes a
complementary phrase with the same playing style. If the cost of making the robot is divided
between and then computes a complementary phrase with the same playing style. If the cost of
making the robot is divided between materials , labour and overheads in the ratio of 4:6:2.If the
materials cost $108. the cost of the robot is
a) $270 b) $324 c) $216 d) $ 648
19) 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 inspite 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 colour?
a) 50 b) 8 c) 60 d) 42
20) 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 mph c) 4.8 mph d) 5 mph
Ans: d
21) 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) $ 486
22) Given a collection of 36 points P in the plane and a point equidistant from all points in P,
which of the following are necessarily true?
A. The points in P lie on a circle.
B. The distance between any pair of points in P is larger than the distance between X and a point
in P
a) A and B b) Neither A nor B c) B only d) A only
23) In the year 2002, Britain was reported to have had 4.3m closed – circuit television (CCTV)
cameras – one for every 14 people in the country . This scrutiny is supposed to deter and detect
crime. In one criminal case, the police interrogates two suspects . The ratio between the ages of
the two suspects is 6:5 and the sum of their ages is 6:5 and the sum of their ages is 55 years.
After how many years will the ratio be 8:7.?
a) 11 b) 6 c) 10 d) 5

24) 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
25) Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle
with each coin touching two other coin. Two of the coins are special and the rest are ordinary.
Alok starts and the players take turns removing an ordinary coin of their choice from the circle
and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring
the special coins adjacent to each other and the first player to do so wins the game. Initially the
special coins are separated by two ordinary coins O1 and O2. Which of the following is true?
a) In order to win, Alok should remove O1 on his first turn.
b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.
c) In order to win, Alok should remove O2 on his first turn.
d) Alok has no winning strategy.



1.Three friends divided some bullets equally. After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division. Find the original number divided.
18
2.Find sum of digits of D.
Let A= 19991999
B = sum of digits of A, C = sum of digits of B, D = sum of digits of C. (HINT: A = B = C = D (mod 9))
3.There is a 50m long army platoon marching ahead. The last person in the platoon wants to give a letter to the first person leading the platoon. So while the platoon is marching he runs ahead, reaches the first person and hands over the letter to him and without stopping he runs and comes back to his original position.
In the mean time the whole platoon has moved ahead by 50m.
The question is how much distance did the last person cover in that time. Assuming that he ran the whole distance with uniform speed.

4.If you take a marker & start from a corner on a cube, what is the maximum number of edges you can trace across if you never trace across the same edge twice, never remove the marker from the cube, & never trace anywhere on the cube, except for the corners & edges? 9 
5.One of Mr. Bajaj, his wife, their son and Mr. Bajaj's mother is an Engineer and another is a Doctor.
If the Doctor is a male, then the Engineer is a male.
If the Engineer is younger than the Doctor, then the Engineer and the Doctor are not blood relatives.
If the Engineer is a female, then she and the Doctor are blood relatives.
Can you tell who is the Doctor and the Engineer?
6.Three men - Sam, Cam and Laurie - are married to Carrie, Billy and Tina, but not necessarily in the same order.
Sam's wife and Billy's Husband play Carrie and Tina's husband at bridge. No wife partners her husband and Cam does not play bridge.Who is married to Cam?

7.There are 3 persons X, Y and Z. On some day, X lent tractors to Y and Z as many as they had. After a month Y gave as many tractors to X and Z as many as they have. After a month Z did the same thing. At the end of this transaction each one of them had 24.Find the tractors each originally had?

8.A certain street has 1000 buildings. A sign-maker is contracted to number the houses from 1 to 1000. How many zeroes will he need?

9.There are 9 coins. Out of which one is odd one i.e weight is less or more. How many iterations of weighing are required to find odd coin?
10.In a sports contest there were m medals awarded on n successive days (n > 1).
On the first day 1 medal and 1/7 of the remaining m - 1 medals were awarded.
On the second day 2 medals and 1/7 of the now remaining medals was awarded; and so on.
On the nth and last day, the remaining n medals were awarded.
How many days did the contest last, and how many medals were awarded altogether?

11.A number of 9 digits has the following properties:
The number comprising the leftmost two digits is divisible by 2, that comprising the leftmost three digits is divisible by 3, the leftmost four by 4, the leftmost five by 5, and so on for the nine digits of the number i.e. the number formed from the first n digits is divisible by n, 2<=n<=9.
Each digit in the number is different i.e. no digits are repeated.
The digit 0 does not occur in the number i.e. it is comprised only of the digits 1-9 in some order.
Find the number.

12. 1/3 rd of the contents of a container evaporated on the 1st day. 3/4th of the remaining contents of the container evaporated on the second day.
What part of the contents of the container is left at the end of the second day?
(x-1/3x)-((x-1/3x)3/4)=2/3x-1/2x= 1/6x

13.Vipul was studying for his examinations and the lights went off. It was around 1:00 AM. He lighted two uniform candles of equal length but one thicker than the other. The thick candle is supposed to last six hours and the thin one two hours less. When he finally went to sleep, the thick candle was twice as long as the thin one.
For how long did Vipul study in candle light? 3 hrs

14.If you started a business in which you earned Rs.1 on the first day, Rs.3 on the second day, Rs.5 on the third day, Rs.7 on the fourth day, & so on.
How much would you have earned with this business after 50 years (assuming there are exactly 365 days in every year)?

15.A worker earns a 5% raise. A year later, the worker receives a 2.5% cut in pay, & now his salary is Rs. 22702.68
What was his salary to begin with?

16.At 6'o a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12'o.

17.In Mr. Mehta's family, there are one grandfather, one grandmother, two fathers, two mothers, one father-in-law, one mother-in-law, four children, three grandchildren, one brother, two sisters, two sons, two daughters and one daughter-in-law. How many members are there in Mr. Mehta's family? Give minimal possible answer.

18.When Alexander the Great attacked the forces of Porus, an Indian soldier was captured by the Greeks. He had displayed such bravery in battle, however, that the enemy offered to let him choose how he wanted to be killed. They told him, "If you tell a lie, you will put to the sword, and if you tell the truth you will be hanged."
The soldier could make only one statement. He made that statement and went free. What did he say?

20.A person wanted to withdraw X rupees and Y paise from the bank. But cashier made a mistake and gave him Y rupees and X paise. Neither the person nor the cashier noticed that.
After spending 20 paise, the person counts the money. And to his surprise, he has double the amount he wanted to withdraw.
Find X and Y. (1 Rupee = 100 Paise)
Paper : TCS Placement Paper Pattern (Only Aptitude)
1) If log 0.317=0.3332 and log 0.318=0.3364 then find log 0.319 ?

Sol) log 0.317=0.3332 and log 0.318=0.3364, then
log 0.319=log0.318+(log0.318-log0.317) = 0.3396

2) A box of 150 packets consists of 1kg packets and 2kg packets. Total weight of box is 264kg. How many 2kg packets are there ?

Sol) x= 2 kg Packs
y= 1 kg packs
x + y = 150     .......... Eqn 1
2x + y = 264   .......... Eqn 2
Solve the Simultaneous equation; x = 114 so, y = 36   ANS :  Number of 2 kg Packs = 114.

3) My flight takes of at 2am from a place at 18N 10E and landed 10 Hrs later at a place with coordinates 36N70W. What is the local time when my plane landed?

a) 6:00 am b) 6:40am c) 7:40 d) 7:00 e) 8:00

Sol) The destination place is 80 degree west to the starting place. Hence the time difference between these two places is 5 hour 20 min. (=24hr*80/360).
When the flight landed, the time at the starting place is 12 noon (2 AM + 10 hours).
Hence, the time at the destination place is 12 noon - 5:20 hours = 6: 40 AM

4) A plane moves from 9?N40?E to 9?N40?W. If the plane starts at 10 am and takes 8 hours to reach the destination, find the local arrival time ?
Sol) Since it is moving from east to west longitide we need to add both
ie,40+40=80
multiply the ans by 4
=>80*4=320min     convert this min to hours ie, 5hrs 33min
It takes 8hrs totally . So 8-5hr 30 min=2hr 30min
So the ans is 10am+2hr 30 min      =>ans is 12:30 it will reach

5) The size of the bucket is N kb. The bucket fills at the rate of 0.1 kb per millisecond. A programmer sends a program to receiver. There it waits for 10 milliseconds. And response will be back to programmer in 20 milliseconds. How much time the program takes to get a response back to the programmer, after it is sent? Please tell me the answer with explanation.

Sol) see it doesn't matter that wat the time is being taken to fill the bucket.after reaching program it waits there for 10ms and back to the programmer in 20 ms.then total time to get the response is 20ms +10 ms=30ms...
6) A file is transferred from one location to another in 'buckets'. The size of the bucket is 10 kilobytes. Each bucket gets filled at the rate of 0.0001 kilobytes per millisecond. The transmission time from sender to receiver is 10 milliseconds per bucket. After the receipt of the bucket the receiver sends an acknowledgement that reaches sender in 100 milliseconds. Assuming no error during transmission, write a formula to calculate the time taken in seconds to successfully complete the transfer of a file of size N kilobytes.

(n/1000)*(n/10)*10+(n/100)....as i hv calculated...~~!not 100% sure

7) A fisherman's day is rated as good if he catches 9 fishes, fair if 7 fishes and bad if 5 fishes. He catches 53 fishes in a week n had all good, fair n bad days in the week. So how many good, fair n bad days did the fisher man had in the week
Ans:4 good, 1 fair n 2 bad days
Sol) Go to river catch fish
4*9=36              7*1=7                2*5=10              36+7+10=53...
take what is given 53
good days means --- 9 fishes so 53/9=4(remainder=17)  if u assume 5 then there is no chance for bad days.
fair days means ----- 7 fishes so remaining 17 --- 17/7=1(remainder=10) if u assume 2 then there is no chance for bad days.
bad days means -------5 fishes so remaining 10---10/5=2days.
Ans: 4 good, 1 fair, 2bad. ==== total 7 days.
x+y+z=7--------- eq1
9*x+7*y+5*z=53 -------eq2
multiply eq 1 by 9,
9*x+9*y+9*z=35 -------------eq3
from eq2 and eq3
2*y+4*z=10-----eq4
since all x,y and z are integer i sud put a integer value of y such that z sud be integer in eq 4 .....and ther will be two value y=1 or 3 then z = 2 or 1 from eq 4
for first  y=1,z=2 then from eq1 x= 4
so 9*4+1*7+2*5=53.... satisfied
now for second y=3 z=1 then from eq1 x=3
so 9*3+3*7+1*5=53 ......satisfied
so finally there are two solution of this question
(x,y,z)=(4,1,2) and (3,3,1)...

8) Y catches 5 times more fishes than X. If total number of fishes caught by X and Y is 42, then number of fishes caught by X?

Sol) Let no. of fish x catches=p
no. caught by y =r
r=5p.
r+p=42                          then p=7,r=35

9) Three companies are working independently and receiving the savings 20%, 30%, 40%. If the companies work combinely, what will be their net savings?

suppose total income is 100
http:/
so amount x is getting is 80
y is 70   z =60    total=210
but total money is 300   300-210=90    so they are getting 90 rs less
90 is 30% of 300 so they r getting 30% discount

10) The ratio of incomes of C and D is 3:4.the ratio of their expenditures is 4:5. Find the ratio of their savings if the savings of C is one fourths of his income?                    ans:12/19

11) If G(0) = -1 G(1)= 1 and G(N)=G(N-1) - G(N-2) then what is the value of G(6)?   Ans: -1

12) If A can copy 50 pages in 10 hours and A and B together can copy 70 pages in 10 hours, how much time does B takes to copy 26 pages?


13) what's the answer for that : A, B and C are 8 bit no's. They are as follows:

A -> 1 1 0 0 0 1 0 1
B -> 0 0 1 1 0 0 1 1
C -> 0 0 1 1 1 0 1 0 ( - =minus, u=union)

Find ((A - C) u B) =?

To find A-C, We will find 2's compliment of C and them add it with A,
That will give us (A-C)
2's compliment of C=1's compliment of C+1
=11000101+1=11000110
A-C=11000101+11000110
=10001001
Now (A-C) U B is .OR. logic operation on (A-C) and B
10001001 .OR . 00110011
The answer is = 10111011,
Whose decimal equivalent is 187.

14) One circular array is given(means memory allocation tales place in circular fashion) diamension(9X7) and sarting add. is 3000, What is the address of (2,3)........

Sol) it's a 9x7 int array so it reqiure a 126 bytes for storing.b'ze integer value need 2 byes of memory allocation. and starting add is 3000              so starting add of 2x3 will be 3012.

15) In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of memory, with the address of the first element X (1, 1) is 3000, find the address of X (8, 5).

Sol) initial x (1,1) = 3000 u hav to find from x(8,1)so u have x(1,1),x(1,2) ... x(7,7) = so u have totally 7 * 7 = 49 elementsu need to find for x(8,5) ? here we have 5 elements each element have 4 bytes : (49 + 5 -1) * 4 = 212 -----( -1 is to deduct the 1 element ) 3000 + 212 = 3212

16) Which of the following is power of 3

a) 2345 b) 9875 c) 6504 d) 9833
17) The size of a program is N. And the memory occupied by the program is given by M = square root of 100N. If the size of the program is increased by 1% then how much memory now occupied ?

Sol) M=sqrt(100N)
N is increased by 1%
therefore new value of N=N + (N/100)
                =101N/100
M=sqrt(100 * (101N/100) )
Hence, we get M=sqrt(101 *  N)


19) A bus started from bustand at 8.00a m and after 30 min staying at destination, it returned back to the bustand. the destination is 27 miles from the bustand. the speed of the bus 50 percent fast speed. at what time it returns to the bustand

this is the step by step solution:
a bus cover 27 mile with 18 mph in =27/18= 1 hour 30 min. and it wait at stand =30 min.
after this speed of return increase by 50% so 50%of 18 mph=9mph
Total speed of returnig=18+9=27
Then in return it take 27/27=1 hour
then total time in joureny=1+1:30+00:30 =3 hour
so it will  come at 8+3 hour=11 a.m.
So Ans==11 a.m

20) In two dimensional array X(7,9) each element occupies 2 bytes of memory.If the address of first element X(1,1)is 1258 then what will be the address of the element X(5,8) ?

Sol) Here, the address of first element x[1][1] is 1258 and also 2 byte of memory is given. now, we have to solve the address of element x[5][8], therefore, 1258+ 5*8*2 = 1258+80 = 1338 so the answer is 1338.


21) The temperature at Mumbai is given by the function: -t2/6+4t+12 where t is the elapsed time since midnight. What is the percentage rise (or fall) in temperature between 5.00PM and 8.00PM?

22) Low temperature at the night in a city is 1/3 more than 1/2 high as higher temperature in a day.  Sum of the low temperature and highest temp. is 100 degrees. Then what is the low temp?

Sol) Let highest temp be x
so low temp=1/3 of x of 1/2 of x plus x/2 i.e. x/6+x/2
total temp=x+x/6+x/2=100
therefore, x=60
Lowest temp is 40

23) In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time. Find how much temperature more or less in 4pm to 9pm.

Ans. At 9pm 7.5 more

24) A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up by 540. What was the raised product?

a) 780     b) 1040   c) 1590   d) 1720

Sol) x*53-x*35=540=> x=30 therefore, 53*30=1590 Ans

25) How many positive integer solutions does the equation 2x+3y = 100 have?

a) 50   b) 33   c) 16    d) 35

Sol) There is a simple way to answer this kind of Q's given 2x+3y=100, take l.c.m of 'x' coeff and 'y' coeff i.e. l.c.m of 2,3 ==6then divide 100 with 6 , which turns out 16 hence answer is 16short cut formula--- constant / (l.cm of x coeff and y coeff)

26) The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.

a) 65    b) 55   c) 50   d) 45
Sol)  Let a = fixed cost and k = variable cost and n = number of boarders
total cost when 25 boarders c = 25*70 = 1750 i.e. 1750 = a + 25k
total cost when 50 boarders c = 50*60 = 3000 i.e. 3000 = a + 50k
solving above 2 eqns, 3000-1750 = 25k i.e. 1250 = 25k i.e. k = 50
therefore, substituting this value of k in either of above 2 eqns we get
a = 500 (a = 3000-50*50 = 500 or a = 1750 - 25*50 = 500)
so total cost when 100 boarders = c = a + 100k = 500 + 100*50 = 5500
so cost per head = 5500/100 = 55

27) Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?

a) 37.5%     b) 62.5%   c) 50%   d) None of these
Sol)
Let, 5 pens + 7 pencils + 4  erasers = x  rupees
so 10 pens  + 14 pencils + 8 erasers = 2*x rupees
also mentioned, 6 pens + 14 pencils + 8 erarsers = 1.5*x rupees
so (10-6) = 4 pens = (2-1.5)x rupees
so 4 pens = 0.5x rupees => 8 pens = x rupees
so 5 pens = 5x/8 rupees  = 5/8 of total (note x rupees is total amt paid byamal)
i.e 5/8 = 500/8% = 62.5% is the answer

28) I lost Rs.68 in two races. My second race loss is Rs.6 more than the first race. My friend lost Rs.4 more than me in the second race. What is the amount lost by my friend in the second race?
my friend lost 37 + 4 = 41 Rs

29) Ten boxes are there. Each ball weighs 100 gms. One ball is weighing 90 gms.

i) If there are 3 balls (n=3) in each box, how many times will it take to find 90 gms ball?
ii) Same question with n=10
iii) Same question with n=9


when n=3
(i) nC1= 3C1 =3 for 10 boxes .. 10*3=30

(ii) 10C1=10 for 10 boxes ....10*10=100
(iii)9C1=9 for 10 boxes .....10*9=90

30) (1-1/6) (1-1/7).... (1- (1/ (n+4))) (1-(1/ (n+5))) = ?

leaving the first numerater and last denominater, all the numerater and denominater will cancelled out one another.

Ans. 5/(n+5)

31) A face of the clock is divided into three parts. First part hours total is equal to the sum of the second and third part. What is the total of hours in the bigger part?

Sol) the clock normally has 12 hr
three parts x,y,z
x+y+z=12
x=y+z
2x=12
x=6
so the largest part is 6 hrs

32) With 4/5 full tank vehicle travels 12 miles, with 1/3 full tank how much distance travels

Sol) 4/5 full tank= 12 mile
1 full tank= 12/(4/5)
1/3 full tank= 12/(4/5)*(1/3)= 5 miles

33) wind blows 160 miles in 330min.for 80 miles how much time required

Sol) 160 miles= 330 min
1 mile = 330/160
80 miles=(330*80)/160=165 min.

34) A person was fined for exceeding the speed limit by 10mph.another person was also fined for exceeding the same speed limit by twice the same if the second person was travelling at a speed of 35 mph. find the speed limit

Sol)       (x+10)=(x+35)/2                        solving the eqn we get x=15

35) A sales person multiplied a number and get the answer is 3 instead of that number divided by 3. what is the answer he actually has to get.
36) A person who decided to go weekend trip should not exceed 8 hours driving in a day average speed of forward journey is 40 mph due to traffic in Sundays the return journey average speed is 30 mph. How far he can select a picnic spot.
37) Low temperature at the night in a city is 1/3 more than 1/2 hinge as higher temperature in a day. Sum of the low temp and high temp is 100 c. then what is the low temp.
Ans is 40 c.

38) car is filled with four and half gallons of oil for full round trip. Fuel is taken 1/4 gallons more in going than coming. What is the fuel consumed in coming up.

Sol) let feul consumed in coming up is x. thus equation is: x+1.25x=4.5ans:2gallons

39) A work is done by the people in 24 min. One of them can do this work alone in 40 min. How much time required to do the same work for the second person60 mins.
40) In a company 30% are supervisors and 40% employees are male if 60% of supervisors are male. What is the probability? That a randomly chosen employee is a male or female?
Sol) 40% employees are male if 60% of supervisors are male so for 100% is 26.4%so the probability is 0.264
41) In 80 coins one coin is counterfeit what is minimum number of weighing to find out counterfeit coin
Sol) the minimum number of wieghtings needed is just 5.as shown below
            (1)    80->30-30            (2)      15-15            (3)       7-7              (4)      3-3      
            (5)      1-1
42) 2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas, and 1 apple costs Rs 10. What is the cost of 3 oranges, 3 bananas and 3 apples?
2x+3y+4z=15
3x+2y+z=10 adding
5x+5y+5z=25
x+y+z=5 that is for 1 orange, 1 bannana and 1 apple requires 5Rs.
so for 3 orange, 3 bannana and 3 apple requires 15Rs.
i.e. 3x+3y+3z=15

43) In 8*8 chess board what is the total number of squares refers
answer 204
44) One fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. If both do combinely in how much time they will finish.

Sol) Faster one can do 1/2 of work in one hourslower one can do 1/3 of work in one hourboth they do (1/2+1/3=5/6) th work in one hour.so work will b finished in 6/5=1.2 hour i e 1 hour 12 min.

45) If Rs20/- is available to pay for typing a research report & typist A produces 42 pages and typist B produces 28 pages. How much should typist A receive?

Here is the answer Find of 42 % of 20 rs with respect to 70 (i.e 28 + 42) ==> (42 * 20 )/70 ==> 12 Rs

46) An officer kept files on his table at various times in the order 1,2,3,4,5,6. Typist can take file from top whenever she has time and type it.What order she cann't type.?

47) In some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?

the answer is 138 matches
Sol) since one player gets a bye in each round,he will reach the finals of the tournament without playing a match. therefore 137 matches should be played to detemine the second finalist from the remaining 138 players(excluding the 1st player) therefore to determine the winner 138 matches shd be played.

48) One rectangular plate with length 8inches, breadth 11 inches and 2 inches thickness is there. What is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate?

Sol) Vol. of rect. plate= 8*11*2=176
area of rod=(22/7)*(8/2)*(8/2)=(352/7)
vol. of rod=area*length=vol. of plate
so length of rod= vol of plate/area=176/(352/7)=3.5
49) One tank will fill in 6 minutes at the rate of 3cu ft /min, length of tank is 4 ft and the width is 1/2 of length, what is the depth of the tank?

3 ft 7.5 inches

50) A man has to get air-mail. He starts to go to airport on his motorbike. Plane comes early and the mail is sent by a horse-cart. The man meets the cart in the middle after half an hour. He takes the mail and returns back, by doing so, he saves twenty minutes. How early did the plane arrive?

Ans:10min:::assume  he started at 1:00,so at 1:30 he met cart. He returned home at 2:00.so it took him 1 hour for the total jorney.by doing this he saved 20 min.so the actual time if the plane is not late is 1 hour and 20 min.so the actual time of plane is at 1:40.The cart travelled a time of 10 min before it met him.so the plane is 10 min early.

51) Ram singh goes to his office in the city every day from his suburban house. His driver Mangaram drops him at the railway station in the morning and picks him up in the evening. Every evening Ram singh reaches the station at 5 o'clock. Mangaram also reaches at the same time. One day Ram singh started early from his office and came to the station at 4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal time, picks him up on the way and takes him back house, half an hour early. How much time did Ram singh walked?

52) 2 trees are there. One grows at 3/5 of the other. In 4 years total growth of the trees is 8 ft. what growth will smaller tree have in 2 years.

Sol) THE BIG TREE GROWS 8FT IN 4 YEARS=>THE BIG TREE  GROWS 4FT IN 2 YEARS.WHEN WE DIVIDE 4FT/5=.8*3=>2.4

ans: 1.5 mt 4 (x+(3/5)x)=88x/5=2x=5/4 after 2 years x=(3/5)*(5/4)*2 =1.5

53) There is a six digit code. Its first two digits, multiplied by 3 gives all ones. And the next two digits multiplied by 6 give all twos. Remaining two digits multiplied by 9 gives all threes. Then what is the code?

sol) Assume the digit xx xx xx (six digits)
First Two digit       xx * 3=111
                      xx=111/3=37
( first two digits of 1 is not divisible by 3   so we can use 111)
Second Two digit xx*6=222
                 xx=222/6=37
( first two digits of 2 is not divisible by 6   so we can use 222)
Thrid Two digit    xx*9=333
                   xx=333/9=37
( first two digits of 3 is not divisible by 9   so we can use 333)

54) There are 4 balls and 4 boxes of colours yellow, pink, red and green. Red ball is in a box whose colour is same as that of the ball in a yellow box. Red box has green ball. In which box you find the yellow ball?

Ans is green...

Sol) Yellow box can have either of pink/yellow balls.
if we put a yellow ball in "yellow" box then it wud imply that "yellow" is also the colour of the box which has the red ball(becoz acordin 2 d question,d box of the red ball n the ball in the yellow box have same colour)
thus this possibility is ruled out...
therefore the ball in yellow box must be pink,hence the colour of box containin red ball is also pink....
=>the box colour left out is "green",,,which is alloted to the only box left,,,the one which has yellow ball..

55) A bag contains 20 yellow balls, 10 green balls, 5 white balls, 8 black balls, and 1 red ball. How many minimum balls one should pick out so that to make sure the he gets at least 2 balls of same color.

Ans:he should pick 6 ball totally.

Sol) Suppose he picks 5 balls of all different colours then  when he picks up the sixth one, it must match  any on of the previously drawn ball colour.
thus he must pick 6 balls

56) What is the number of zeros at the end of the product of the numbers from 1 to 100

Sol) For every 5 in unit palce one zero is added
Ch eta naS
so between 1 to 100 there are 10 nos like 5,15,25,..,95 which has 5 in unit place.
Similarly for every no divisible by 10 one zero is added in the answer so between 1 to 100  11 zeros are added
for 25,50,75 3 extra zeros are added
so total no of zeros are 10+11+3=24

57) 10 Digit number has its first digit equals to the numbers of 1's, second digit equals to the numbers of 2's, 3rd digit equals to the numbers of 3's .4th equals number of 4's..till 9th digit equals to the numbers of 9's and 10th digit equals to the number of 0's. what is the number?.(6marks)

Ans:2100010006

2---shows that two 1's in the ans
1---shows that one 2 in ans
0---shows no 3 in the ans
0---shows no 4 in the ans
0---shows no 5 in the ans
1---shows one 6 in the ans
0---shows no 7 in the ans
0---shows no 8 in the ans
0---shows no 9 in the ans
6---shows six 0's in the ans

58) There are two numbers in the ratio 8:9. if the smaller of the two numbers is increased by 12 and the larger number is reduced by 19 thee the ratio of the two numbers is 5:9. Find the larger number?

sol) 8x:9x initialy
8x+ 12 : 9x - 19 = 5x:9x
8x+12 = 5x
-> x = 4
9x = 36 not sure about the answer ..

59) There are three different boxes A, B and C. Difference between weights of A and B is 3 kgs. And between B and C is 5 kgs. Then what is the maximum sum of the differences of all possible combinations when two boxes are taken each time

A-B = 3  B-c = 5  a-c = 8
so sum of diff = 8+3+5 = 16 kgs

60) A and B are shooters and having their exam. A and B fall short of 10 and 2 shots respectively to the qualifying mark. If each of them fired atleast one shot and even by adding their total score together, they fall short of the qualifying mark, what is the qualifying mark?

Ans is 11
coz each had atleast 1 shot done so 10 + 1 = 11
n 9 + 2 = 11
so d ans is 11

61) A, B, C, and D tells the following times by looking at their watches. A tells it is 3 to 12. B tells it is 3 past 12. C tells it is 12:2. D tells it is half a dozen too soon to 12. No two watches show the same time. The difference between the watches is 2,3,4,5 respectively. Whose watch shows maximum time?

sol) A shows 11:57, B shows 12:03, C shows 12:02, and D shows 11:06 therefore, max time is for B

62) Falling height is proportional to square of the time. One object falls 64cm in 2sec than in 6sec from how much height the object will fall.

Sol) The falling height is proportional to the squere of the time.

Now, the falling height is 64cm at 2sec
so, the proportional constant is=64/(2*2)=16;
so, at 6sec the object fall maximum (16*6*6)cm=576cm;
Now, the object may be situated at any where.
if it is>576 only that time the object falling 576cm within 6sec .Otherwise if it is situated<576 then it fall only that height at 6sec.

63) Gavaskar average in first 50 innings was 50. After the 51st innings his average was 51 how many runs he made in the 51st innings

Ans) first 50 ings.- run= 50*50=2500
51st ings.- avg 51. so total run =51*51=2601.
so run scored in that ings=2601-2500=101 runs.

64) Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?

a) 3rd   b) 6th   c) 9th   d) 7th
Ans is d) 7th day

Sol) In d 1st day Anand does 1/7th of total work
similarly,
Bithu does 1/8th work in d 2nd day
hence at d end of 3 days, work done = 1/7+1/8+1/6=73/168
remaining work = (168-73)/168 = 95/168
again after 6 days of work, remaining work is = (95-73)/168 = 22/168
and hence Anand completes the work on 7th day.(hope u understood.)

65) A man, a women and a child can do a piece of work in 6 days,man can do it in 14 days, women can do it 16 days, and in how many days child can do the same work?

The child does it in 24 days




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