Friday, 9 November 2012

APTITUDE QUESTION PAPER FOR TCS



Q1. 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)1
Ans: 5

Q2. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8.
A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000.
How many 3s are used in numbering these buildings?

a) 54 b) 64 c) 265 d) 192
Ans: 192
Some times base value is chang like: 9finger, 1 to 100(base 9)

Q3. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
a)1  b)3  c)4  d)0

Q4. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

a) 37.80  b)8  c) 40  d) 5
Ans: 37.80

Q5. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?

a) 16 b) 6 c) 10 d) 60
Ans: 10

This type of Q's repeated 4times  for me but values are different.

Q6. Alok and Bhanu play the following min-max game. Given the expression
N = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu
would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's  concept is same but the equation of N's is changing.

Q7. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.

Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then

a) In order to win, Alice's first move should be a 1-move.
b) In order to win, Alice's first move should be a 0-move.
c) In order to win, Alice's first move can be a 0-move or a 1-move.
d) Alice has no winning strategy.
Ans: d

Q8. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a)1/9    b)4/9    c)5/9    d)2/3
Ans: 5/9

Q9. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

a)12    b)11    c)13    d)18
Ans: 18

Q10. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
a)1/12    b)0    c)12/212  d)11/12

Ans: b

Q11. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,
statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.
b)The first 26 statements are false and the rest are true.
c)The first 13 statements are true and the rest are false.
d)The odd numbered statements are true and the even numbered are false.

Ans:c

Q12. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

a)1/2    b)14/19     c)37/38 d)3/4   
Ans: 14/19

Q13. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it
hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75    b) 1    c) 0.5    d) 0.25
Ans: d

Q14. 9. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?

a) 3 red and 3 blue faces        b) 2 red and remaining blue
c) 6 red and 0 blue        d) 4 red and remaining blue
Ans: a

Q15. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula
d = 4 * sqrt (t – 8)for t = 8
Where the represents the diameter in mm and t the number of years since the solar blast.
Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?

a) 8 b) 16 c) 25 d) 21
Ans: 16

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly 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 statements are false.
b) The odd numbered statements are true and the even numbered statements are false.
c) All the statements are false.
d) The 39th statement is true and the rest are false.
Ans: d

Q17. 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.
Ans: d

Q18. Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/4 of B if filled in 21 hours what time it will take to get completely filled
Ans: 23

Q19. 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).

Q20. 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

Q21. 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 how much time(hours) he took?
Easy one try it.

Q22. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?
Ans: (5)^11

Q23. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys same amount of fruits for his 3 sons spending 7 cent then what amount of fruit each child will get?

Ans: 1plum, 2apples, 1cashew

Q24. There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there

Ans: For this question answer is deduced from the options.

Q25. 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?

a) Thursday   b) Tuesday   c) Monday d) Sunday
Ans: a

APTITUDE QUESTION PAPER FOR TCS



Q1. 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)1
Ans: 5

Q2. The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8.
A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000.
How many 3s are used in numbering these buildings?

a) 54 b) 64 c) 265 d) 192
Ans: 192
Some times base value is chang like: 9finger, 1 to 100(base 9)

Q3. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
a)1  b)3  c)4  d)0

Q4. Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?

a) 37.80  b)8  c) 40  d) 5
Ans: 37.80

Q5. Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?

a) 16 b) 6 c) 10 d) 60
Ans: 10

This type of Q's repeated 4times  for me but values are different.

Q6. Alok and Bhanu play the following min-max game. Given the expression
N = 9 + X + Y - Z

Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu
would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be

a) 0 b) 27 c) 18 d) 20

The Q's  concept is same but the equation of N's is changing.

Q7. Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack.

Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top. Then

a) In order to win, Alice's first move should be a 1-move.
b) In order to win, Alice's first move should be a 0-move.
c) In order to win, Alice's first move can be a 0-move or a 1-move.
d) Alice has no winning strategy.
Ans: d

Q8. For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning. Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

a)1/9    b)4/9    c)5/9    d)2/3
Ans: 5/9

Q9. 36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

a)12    b)11    c)13    d)18
Ans: 18

Q10. After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
a)1/12    b)0    c)12/212  d)11/12

Ans: b

Q11. A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40,
statement n says "At least and of the statements on this sheet are true." Which statements are true and which are false?

a)The even numbered statements are true and the odd numbered are false.
b)The first 26 statements are false and the rest are true.
c)The first 13 statements are true and the rest are false.
d)The odd numbered statements are true and the even numbered are false.

Ans:c

Q12. There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is

a)1/2    b)14/19     c)37/38 d)3/4   
Ans: 14/19

Q13. A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it
hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

a) 0.75    b) 1    c) 0.5    d) 0.25
Ans: d

Q14. 9. A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?

a) 3 red and 3 blue faces        b) 2 red and remaining blue
c) 6 red and 0 blue        d) 4 red and remaining blue
Ans: a

Q15. On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula
d = 4 * sqrt (t – 8)for t = 8
Where the represents the diameter in mm and t the number of years since the solar blast.
Jagan recorded the time of some echina at a particular spot is 24 years then what is diameter?

a) 8 b) 16 c) 25 d) 21
Ans: 16

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly 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 statements are false.
b) The odd numbered statements are true and the even numbered statements are false.
c) All the statements are false.
d) The 39th statement is true and the rest are false.
Ans: d

Q17. 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.
Ans: d

Q18. Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/4 of B if filled in 21 hours what time it will take to get completely filled
Ans: 23

Q19. 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).

Q20. 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

Q21. 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 how much time(hours) he took?
Easy one try it.

Q22. By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?
Ans: (5)^11

Q23. The cost 1 plum is 1 cent, 2 apples is 1 cent, 3 cashew is 1 cent. If father buys same amount of fruits for his 3 sons spending 7 cent then what amount of fruit each child will get?

Ans: 1plum, 2apples, 1cashew

Q24. There are some 2 wheelers and 4 wheelers parked total number of wheels present is 240 then how many 4 wheelers were there

Ans: For this question answer is deduced from the options.

Q25. 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?

a) Thursday   b) Tuesday   c) Monday d) Sunday
Ans: a

TCS QUESTION PAPER FOR APTITUDE TEST



TCS NEW PATTERNMODEL PAPER 1

Questions35 (Time: 60 Min)

[Note: 60 min time limit is for an online test which is computer based. So we believe 50 min is the logical time limit when taken as a paper based test.]

1) A person climbed a hill which was 200m high. The average speed while climbing was 24 m/sec and while coming down it was 30m/sec. What is the average speed (in kmph) of his journey?
A. 36                            B. 56
C. 76                            D. 96

2) The cost of making a robot is divided into cost of material, cost of assembling and cost of painting in the ratio of 5: 4:1. The cost of material is Rs.20,000. Find the total cost of making the robot (in Thousands)?
A. 20                            B. 30
C. 40                             D. 50       

3) John Mason wanted to build a wall. The length and height of the wall are 30m, 20m respectively. If he needs 35 bricks per m2 of wall area, how many bricks are needed to build 4 walls of same specification?
A. 72000                      B. 78000
C. 84000                      D. 90000

4) Rearrange the jumbled word ‘RAETPEKA’. What category does it belong to?
A. Bird                                     B. Animal
C. Vegetable               D. City

5) 4 men are standing in a queue in a supermarket. Their average weight is 43. One more man joins the queue and the average weight changes to 47. What is the weight of the new guy?
A. 43                            B. 53
C. 63                            D. 73

6) In a class of 40 students, 30 speak Hindi and 20 speak English. What is the lowest possible number of students who speak both the languages?
A. 0                              B. 10
C. 20                            D. 40

7) A can do a piece of work in 20 days, which B can do in 12 days. B works for 9 days and stops. How many days will A take to finish the remaining work?
A. 2                              B. 3
C. 4                              D. 5
8) One fast typist types some matter in 2hr and another slow typist types the same matter in 3hr. If both type together in how much time (in min) they will finish the same amount of matter.
A. 60                            B. 72
C. 84                            D. 96

9) 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 fourth of his income?
A. 2/9                          B. 12/19
C. 16/9                        D. 9/16

10) Horse started to chase a dog which got relieved from its kennel two hrs ago. Horse started to run with average speed 22kmph. Horse crossed a 10m road and two small ponds of depth 3m, and it crossed two small streets of 1200m length. After travelling for 6 hrs, 2hrs after sunset it caught the dog. Compute the speed of dog in kmph?
A. 14.5                         B. 15.5
C. 16.5                         D. 18.5

11) Form 8 digit numbers by using 1,2,3,4,5. Repetition is allowed and they must be divisible by 4. How many such numbers can be formed?
A. 31250                      B. 46875
C. 62500                      D. 78125

12) The value of the below expression
square root (12424×87×37) + square root (262+ 4×63×37)
is
A. 50                            B. 100
C. 150                          D. 200

13) Which is the smallest number that divides 2880 and gives a perfect square?
A. 1                              B. 2
C. 5                              D. 6

14) A man was standing before a painting of a person. He says "Brothers and sisters I have none. The person’s father is my father's son and I love poems”. How is the person in the painting related to this man?
A. Self                          B. Son
C. Father                     D. Cannot say

15) In a large residential college campus, although the faculty is allowed to use motored vehicles, students are not allowed to drive motored vehicles. However, the faculty can use only small cars or bicycles. All the students are forced to use either bicycles or battery driven college vans or they have to walk long distances to go from their hostels to the classrooms or their departments. Hence all the students use bicycles. In the campus, only 2 wheelers or 4 wheelers are allowed. If on a Tuesday there are 190 wheels on the campus. How many bicycles can be there?
A. 10                            B. 20
C. 35                            D. 40

16) Two bowls are taken. First bowl contains water and second bowl contains tea in equal amounts. One spoon of water from 1st bowl is added to 2nd bowl and mixed well. Now a spoon of the mixture is taken from 2nd bowl and added to the 1st bowl. Which of the following statement(s) is valid now?
A. 1st bowl’s water volume is equal to 2nd bowl’s tea volume.
B. 1st bowl’s tea volume is equal to 2nd  bowl’s water volume.
C. Both A and B are valid.
D. None of the above

17) Difference between two numbers is 4 and their product is 17. Find the sum of their squares.
A. 16                            B. 50
C. 68                            D. 84

18) Six persons of different ages are standing in a queue. After two years their average age will be 43. After a seventh person joined them, their current average age has become 45. Find the age of seventh person?
A. 39                            B. 49
C. 65                            D. 69

19) The ratio between the ages of two persons is 6:5 and sum of their ages is 77. How many years later will their ratio become 8:7?
A. 10                            B. 12
C. 14                            D. 16

20) A tailor has a piece of cloth which is 135m long and 35m wide. He wants to divide the cloth into pieces of length 35m and breadth 1m. If he took 7sec for cutting a piece, what is the time taken (in sec) for cutting the whole cloth into required pieces?
A. 808                          B. 908
C. 938                          D. 838

21) A is 4 times as efficient as B. A and B both work together to complete a task in 8 days. Find in how many days A alone and B alone can complete the task (respectively)?
A. 5, 20                        B. 15, 60
C. 10, 40                      D. 40, 10

22) The total expense of a boarding house is 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
23) A triangle is made from a rope. The three sides of a triangle are: 18cm, 18cm, 28 cm and this triangle is converted into a square. So what will be the area of the square generated?
A. 128 cm2                                     B. 256cm2
C. 512cm2                                       D. 640cm2

24) Fruits are to be distributed amongst 9 children from a basket of fruits containing 4 mangoes, 3 apples and 2 oranges. Each child has to get one fruit. In how many ways can the fruits be distributed?
A. 450                          B. 630
C. 720                          D. 960

25) There are 4 balls and 4 boxes of colors yellow, pink, red and green. Red ball is in a box whose color is same as that of the ball in a yellow box. Red box has green ball. In which box do you find the yellow ball?
A. Green                      B. Pink
C. Yellow                     D. None of these

26) 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 to make sure that he gets at least 2 balls of same color?
A. 2                              B. 5
C. 6                              D. 8

27) One person had three children. He bought some fruits for Rs.7 and distributed them equally among his children.
1. He gets 1 Water melon (Wm) for 1Re
2. He gets 2 Oranges (O) for 1Re
3. He gets 3 Bananas (B) for 1Re
What is the distribution?
A. 1 Wm, 2 O,2 B        B. 1 Wm, 3 O, 1 B
C. 2 Wm, 2 O, 1 B       D. 1 Wm, 2 O, 1 B

28) 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 in years?
A. 7                              B. 14
C. 21                            D. 28

29) There are 1000 pillars for a temple. 3 friends Linda, Chelsea, Julie visited that temple. Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julie is shorter than Linda. Find the correct sentence?
A. Linda is shortest among them
B. Chelsea is taller than Julie
C. Chelsea is shorter than Julie
D. Cannot determine who is taller between Chelsea and Julie
30) A game is played between two players and one player is declared as winner. All the winners from first round play in the second round. All the winners from second round play in third round and so on. If eight rounds are played to declare only one player as winner, how many players played in first round?
A. 16                            B. 256
C. 64                            D. 128

31) Find the single discount equivalent to a series of discounts of 20%, 10% and 5%.
A. 35%                         B. 31.6%
C. 32.6%                      D. 33.6%

32) Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour alternately, the tank will be full in :
A. 6hrs                         B. 6.67hrs
C. 7hrs                         D. 7.5hrs

33) A retailer buys 40 pens at a marked price of 36 pens from a wholesaler. If he sells these pens giving a discount of 1%, what is his profit percent?
A. 10%                         B. 20%
C. 30%                                     D. 40%

34) If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10% at different stages. What will be the approximate overall reduction in the wastage of the fuel if the mechanisms are combined?
A. 50%                         B. 55 %
C. 60%                                     D. 65%

35) A lies on Mon, Tues, Wed and speaks truth on all other days. B lies on Wed, Thu and Sat and speaks truth on all other days. One day A said: I didn’t lie yesterday, then B said: I too didn’t lie yesterday. What day is today?
A. Sunday                    B. Monday
C. Tuesday                   D. Friday

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