TCS new set of Placement paper Set-8

This set of question are collected from TCS recruitment 2014. Try to solve each question as TCS repeat their questions.    


1. 1, 4, 2, 8, 6, 24, 22, 88, ?

Ans 86

Explanation: 1 x 4 = 4
                       4 - 2 = 2
                       4 x 2 = 8
                       8 - 2 = 6
                       8 x 4 = 24
                       24 - 2 = 22
                       22 x 4 = 88
                       88 - 2 = 86

2. In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?

Ans- 1540

3. From a deck of 52 cards, 3 cards drawn randomly. What is the probability of getting 1 spade, 1 red queen and 1 black king?

Ans. 0.00235

Explanation: 13C1*2C1*2C1/52C3 = 0.00235

4. A man can row 9 1/3 kmph in still water and finds that it takes him thrice as much time to row up than as to row down the same distance in the river. The speed of the current ?

Ans. 4 2/3 km/hr.

Explanation: Let the  speed be x kmph. Then downstream speed= 3x kmph
Speed in still water= ½(3x + x) kmph = 2x kmph.
2x=28/3 = 14/3.
Speed upstream= 14/3 kmph and Speed downstream= 14 kmph.
Therefore, speed  of the current = ½(14-14/3) km/hr = 4 2/3 km/hr.

5. Two dice are tossed. The probability that the total score is a prime number?
Ans.  5/12.

6. Find the value of "n" where 3⁴⁸ + 3¹⁹⁹⁶ +3³⁹⁴³+3³ⁿ.

Ans 1963

Explanation:  It is in the format as
                        a³+3a²b+3ab²+b³
                        i.e (3¹⁶)³+3.3³².3ⁿ+3.3¹⁶.3²ⁿ=3⁴⁸+3¹⁹⁹⁶+3³⁹⁴²+3³ⁿ
                        Therefore we can say 3³³⁺ⁿ = 3¹⁹⁹⁶
                         33+n=1996
                         n=1963
  
7.  One man can fill a truck in 9 min, how many trucks can be filled in one and half hours when 16 men work  together ?   

Ans. 160

Explanation:  1 man in 9 min can fill 1 truck
16 man in 9min can fill 1*16=16 trucks
16 man in 90 min can fill 16 x (90/9)=160 trucks

8. One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king ?

Ans. 7/13

Explanation: There are 26 red card (including 2 kings) and there are 2 more kings.
Total no. of favorable cards for this event = 28
Therefore, the required probability = 28/52 = 7/13.       

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