TCS Placement Paper jan bhopal 2011

TCS Placement Paper jan bhopal 2011

1) (1/3) of a number is 3 more than the (1/6) of the same number? 

a) 6 b) 16 c) 18 d) 21

Ans- x/3=x/6 +3 «..solve ans is 18

2) There are two pipes A and B. If A filled 10 liters in an hour, B can fill 20 liters in sametime. Likewise B can fill 10, 20, 40, 80, 160. If B filled in 1/16 of a tank in 3 hours, howmuch time will it take to fill the tank completely?

a) 9 B) 8 c) 7 d) 6

This question repeated two times in my paper

Ans: (b) 

 Solution: 
            these type of que are repeated frequently but the numeric values change.Simpleapproach is- count the number of hours taken to fill the part of the tank from thegiven part ie. Initially the tank is 1/32 then after 1 hour it will become 1/16 then 1/8 then¼ then ½ then 1. Here 1 is the state when the tank is full so the number of hours is(1+1+1+1+1)=5. Now add this number of hours to the given time ie 5+3=8

3) A lady has fine gloves and hats in her closet- 18 blue, 32 red, and 25 yellow. The lightsare out and it is totally dark. In spite of the darkness, she can make out the differencebetween a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each color? 

a) 50 b) 8 c) 60 d) 42

Solution:
         Do not get trapped in these type of questions .a very simple trick to solve these typeof question is just see the max and the middle value of gloves and hats «ie 32 and 25 . justadd max+min_values +2 or 1 or 3 ie 32+25+3=60 the answer will definitely fall in thisrange as 60 here

4) Middle- earth is a fictional land inhabited by hobbits, elves, dwarves and men. Thehobbits and elves are peaceful creatures that prefer slow, silent lives and appreciate natureand art. The dwarves and the men engage in physical games. The game is as follows. Atournament is one where out of the two teams that play a match, the one that loses geteliminated. The matches are played in different rounds, where in every round; half of theteams get eliminated from the tournament. If there are 8 rounds played in knock outtournament, how many matches were played?

a) 257 b) 256 c) 72 d) 255

Solution:
         (255) there are two varieties of this type of que in one they ask about the number of matches in the first round «so solution to that is 2^(number of rounds)«ie 2^8=256another variety is the number of matches played in the tournament so ans is 2^(number of teams )-1 ..ie 2^8 -1=255

5) Ferrari S.P.A is an Italian sports car manufacturer based in Marane llo, Italy. Founded byEnzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufacturedrace 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 46km/hr and the distance traveled by the Ferrari is 953 km, find the total time taken for Rohitto drive that distance.

a) 20.72 b) 5.18 c) 238.25 d) 6.18

Solution:
         very simple question approach is time =dist./speed ie 953/(4*35)=6.18

6) how many 8 digit numbers are possible by using the digits 1,2,3,4,5 which are divisibleby 4 if repetition of digits is allowed?

Solution:
       (78125) simple trick to these type of que is that 5^(number of digits-1) ie 5^(8-1) i.e.5^(7)=78125

By math's first 6 digits of the 8 digit number can be filled in by using any 5 digits given so itcome out (5*5*5*5*5*5) and last two must be divisible by 4 ie (44,52,32,12,24) are the 5possibilities. So the anwer is (5*5*5*5*5*5*5=5^7)

7) Hare in the other. The hare starts after the tortoise has covered 1/5 of its distance andthat 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 hascovered only 1/8 of the distance. By what factor should the hare increase its speed so as totie the race?

 

a) 37.80 b)8 c) 40 d) 5

ans: 37.80

8) 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 tomaximize N while Bhanuwould like to minimize it. Towards this end, Alok chooses a single digit number and Bhanusubstitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next valueand Bhanu, the variable to substitute the value. Finally Alok proposes the value for theremaining variable. Assuming both play to their optimal strategies, the value of N at the endof the game would be

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

Solution:
        Do not get trapped in this que i am giving a very short trick that guarantees 100%correct solution just add the following number if the que contains the following changes

X*(Y-Z) then add 18 to the given constant to get N«.ie 9+18=27

X+(Y-Z) = then add the 12 ie 9+11=20

X-(Y-Z) is then add 2 ie 9+2=11

9) For the FIFA world cup, Paul the octopus has been predicting the winner of each matchwith amazing success. It is rumored that in a match between 2 teams A and B, Paul picks Awith the same probability as A's chances of winning. Let's assume such rumors to be trueand that in a match between Ghana and Bolivia, Ghana the stronger team has a probabilityof 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

Solution:
     5/9«.just do 1-(probability)^2«..1-(2/3)^2

11). On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after theice melts, tiny planetoids called echina start growing on the rocks. echina grows in the formof a circle and the relationship between the diameter of this circle and the age of echina isgiven by the formulad = 4 * sqrt (t ± 8)for t = 8Where 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 isdiameter?

a) 8 b) 16 c) 25 d) 2

Ans: Put the value of years in equation and get the answer ie

10) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to70. Statement n says ' At least n of the statements on this sheet are false. ' Whichstatements 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.

In this type of que if the coin is at the 3 position (as here )then the answer is d otherwise atthe 1 or second position of the coin the answer is always. No chance of winning ie C

20) There is a planet oz . The people there are four fingered and reside in 4 ± dimensionalspace and thus the currency used by its residents are 3 ± dimensional objects. The rupeesnotes are cubical in shape while their coins are spherical. However the coin mintingmachinery lays out some stipulations on the size of the coins.

· The diameter of the coins should be at least 16mm and not exceed 64mm· Given a coin, the diameter of the next larger coin is at least 50% greater.· The diameter of the coin must always be an integer.

You are asked to design a set of coins of different diameters with these requirements andyour goal is to design as many coins as possible. How many coins can you design?

Ans: 4

At least 16 coins so the series is 16, (16+16/2)= 24 , (24+24/2)=36, (36+36/2)=54. Nownext value of coin exceeds 64 so the number of coins is 4

22) 21 people meet and shake hands. The maximum number of handshakes possible if there is to be no µcycle¶ of handshakes is (A cycle of handshakes is a sequence of people a1,a2, « , aK such that the pairs (a1, a2), (a2, a3),« , (a (k-1), a k) , (ak, a1) shake hands. 

a) 17 b) 18 c) 19 d) 20

Ans: n

22) 10 suspects are rounded by the police and questioned about a bank robbery. Only oneof them is guilty. The suspects are made to stand in a line and each person declares thatthe person next to him on his right is guilty. The rightmost person is not questioned. Whichof the following possibilities are true?

A. All suspects are lying.

B. leftmost suspect is innocent.

C. leftmost suspect is guilty

a) A only b) A or C c) A or B d) B onlyAns: c

23) In planet OZ planet there are 8 days, Sunday to Saturday and 8th day is Oz day. Thereis 36 hours in a day. What is angle between 12.40?

a) 80 b) 81 c) 87 d) 89Ans: 89

24) 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 handswith at least one person in the set is

a) 13 b) 18 c) 11 d) 12

Ans:18

25) The pace length P is the distance between the rear of two consecutive footprints. Formen, the formula, n/P = 144 gives an approximate relationship between n and P where, n =number of steps per minute and P = pace length in meters. Bernard knows his pace length

 

is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed inkmph.

a) 23.62 b) 8.78 c) 11.39 d) 236.16

Ans: 236.16 (144*1.64 m)

26) Anoop managed to draw 7 circles of equal radii with their centers on the diagonal of asquare such that the two extreme circles touch two sides of the square and each middlecircle touches two circles on either side. Find the ratio of the radius of the circles to the sideof the square.

a) 1:(4+ 7v3) b) 1:(2+ 6v2)c) 1:(2+ 7v2) d) (2+ 7v2):1

Ans: b

27) 10 suspects are rounded by the police and questioned about a bank robbery. Only oneof them is guilty. The suspects are made to stand in a line and each person declares thatthe person next to him on his right is guilty. The rightmost person is not questioned. Whichof the following possibilities are true?

A) All suspects are lying

B) leftmost suspect is guilty

a) Neither A nor Bb) Both A and Bc) B only

d) only a

Ans: C

28) There are 1000 pillars for a temple. 3 friends Linda, Chelsea, Juli visited that temple.(Som unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Juli isshorter than Linda. Find the correct sentence?

a) Linda is shorter among them

b) Chelsea is taller than Juli

c) Chelsea is shorter than Juli

d) Cannot determine who is taller among Chelsea and Juli

Ans: d

Friends there is a trick of solving this questions any question in the paper of TCS thatinvolves comparison the answer is always ±cannot determine

29) Horse started to chase dog as it relieved stable two hrs. ago. And horse started to ranwith average speed 22km/hr., horse crossed 10 mts road and two small pounds with depth3m, and it crossed two small street with 200 mts length. After traveling 6 hrs., 2hrs aftersunset 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/hrAns: 16.5km/hr.

 

30) Given a collection of points P in the plane , a 1-set is a point in P that can be separatedfrom the rest by a line, .i.e the point lies on one side of the line while the others lie on theother 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 Plie on a line) is

a) 3 b) 5 c) 2

Ans: 5

Friends there is a trick of solving this questions any question in the paper of TCS thatinvolves points separated by line with a set of points points each side the answer isthe number of points in plane as 5 here the answer is always ±cannot determine

31) Alok and Bhanu play the following min-max game. Given the expressionN =9+ X + Y - Z

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

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

Ans: 20

Here it is X+Y-Z then add the 11 so ans is (11+9)=20

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

a) 54 b) 64 c) 265 d) 192

Solution:
(N-1)*(BASE)^(N-2)
N=NUMBER OF LAST DIGIT=4(100 contains 4 digits)
base=8
(4-1)*8^(4-2)
=192

Ans: 192