Here are the latest pattern of aptitude questions that are asked in 2011 TCS written test :
1. (1/2) of a number is 3 more than the (1/6) of the same number?
a) 6
b) 7
c) 8
d) 9
2. There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, it gets filled up like, 10, 20, 40,80, 160..in tank B. (At the end of first hour, B has 10 liters, second hour it has 20 liters and so on). If tank B is 1/32 filled of the 21 hours, what is total duration of hours required to fill it completely?
a) 26
B) 25
c) 5
d) 27
3. 3. Smita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape?
a) 98
b)104
c)100
d) 61
4. 4. A lady has fine gloves and hats in her closet- 25blue, 7 red, and 9 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color?
5. A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round?
a) 256
b) 512
c) 64
d) 128
6. There are 7 friends (A1, A2, A3....A7).If A1 have to have shake with all without repeat. How many handshakes possible?
a) 6
b) 21
c) 28
d) 7
7. On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur?
a) 17
b) 21.25
c) 12.25
d) 14.05
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 Ferrari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari. It could go 4 times as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 35 km/hr and the distance traveled by the Ferrari is 490 km, find the total time taken for Rohit to drive that distance.
a) 20.72
b) 5.18
c) 238.25
d) 6.18
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.
10. 3 persons a, b ,c were there A always says truth lies on Monday, Tuesday,& Wednesday. but C lies on thrusday, Friday & Saturday .one day A said" that B & C said to A that" B said "yesterday way one of the days when I lies", C said that" yesterday way one of the days when I lies too". then which day was that?
a) Sunday
b) Thursday
c) Saturday
d) Tuesday
11. 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??
12. 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 coins the third coin from the top. Then:-
A) In order to win, Alice's first move should be a 0-move.
B) In order to win, Alice's first move can be a 0-move or a 1-move.
C) In order to win, Alice's first move should be a 1-move.
D) Alice has no winning strategy.
13. 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) 4/9
B) 1/9
C) 2/3
D) 5/3
14. 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 ?15. 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty. The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The rightmost person is not questioned. Which of the following possibilities are true?
A. All suspects are lying or the leftmost suspect is innocent.
B. All suspects are lying and the leftmost suspect is innocent .
A) B only
B) Neither A nor B
C) A only
D) Both A and B
Aptitude question part 2
1. It was calculated that 75 men could complete a piece of work in 20 days.
When work was scheduled to commence, it was found necessary to send 25
men to another project. How much longer will it take to complete the work?
2. A student divided a number by 2/3 when he required to multiply by 3/2.
Calculate the percentage of error in his result.
3. A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a
false weight of 950gm. for a kg. His gain is …%
.
4. A software engineer has the capability of thinking 100 lines of code in five
minutes and can type 100 lines of code in 10 minutes. He takes a break for
five minutes after every ten minutes. How many lines of codes will he
complete typing after an hour?
5. A man was engaged on a job for 30 days on the condition that he would get a
wage of Rs. 10 for the day he works, but he have to pay a fine of Rs. 2 for
each day of his absence. If he gets Rs. 216 at the end, he was absent for work
for ... days
.
6. A contractor agreeing to finish a work in 150 days, employed 75 men each
working 8 hours daily. After 90 days, only 2/7 of the work was completed.
Increasing the number of men by ________ each working now for 10 hours
daily, the work can be completed in time
.
7. A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart
at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss
and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid
by him was Rs._______ for the horse and Rs.________ for the cart.
9. A tennis marker is trying to put together a team of four players for a tennis
tournament out of seven available. males - a, b and c; females – m, n, o and p.
All players are of equal ability and there must be at least two males in the
team. For a team of four, all players must be able to play with each other
under the following restrictions:
b should not play with m,
c should not play with p, and
a should not play with o.
Which of the following statements must be false?
1. b and p cannot be selected together
2. c and o cannot be selected together
3. c and n cannot be selected together.
10. Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards.
Last year, each of them discovered that every tree in their own orchard bore
exactly the same number of apples. Further, if the third farmer gives one apple
to the first, and the fifth gives three to each of the second and the fourth, they
would all have exactly the same number of apples. What were the yields per
tree in the orchards of the third and fourth farmers?
