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# Placement Questions & Answers :: TCS

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Not Attempted

401. what is the remainder when 72^21 divided by 25

Explanation:

72/25 ^ 21/20 (bcz 25 is not prime no. so, Qn= 25(1-1/5)=20)
=22^1 = 22

Tags: TCS

Not Attempted

402. Out of 9 person, 8 person spent RS.30 each for their meals. The 9th one spent Rs.20 more than the average expenditure of all the nine. The total money spent by all of them was:

Explanation:

Let the 9th person spend Rs x.
Then the total sum spent by the nine people = 30 x 8 + x
= 240 + x.
So the average expenditure = (240 + x)/9.
Now x is 20 more than the average expenditure.
So, x = (240 + x)/9 + 20
Therefore x - 20 = (240 + x)/9
Thus, 9x - 180 = 240 + x
Or, 8x = 420
Or x = 52.50
Therefore total money spent = 240 + 52.50 = 292.50

Tags: TCS

Not Attempted

403. You are given 87 matchsticks. They are arranged in rectangular manner.Find the number of triangles formed?

Explanation:

1st triangle formed by using 3 sticks.
so remaining sticks are =87-3=84
all other can be formed by just using two sticks =84/2 =42

so total =42(by using two sticks)+1(by using three sticks) =43

Tags: TCS

Not Attempted

404. Three terrorists are employed to shoot a renowned person Mr. X. Only one bullet is sufficient to kill him if it strikes in the head. The probabilities of the terrorists striking Mr. X's head by their bullets are 0.2, 0.3, and 0.4. What is the probability that Mr. X is shot dead?

Explanation:

Probability of Mr. X shot dead = Probability of atleast one terrorist shoot on head
= 1 - (Probability of None shoot on head)
=1-(0.8*0.7*0.6)
=0.664

Tags: TCS

Not Attempted

405. How many Palindrone number are there between 5000 To 67000 . Palindrone no 5335 is palindone no because if u read from first and last the value remains same

Explanation:

5000 To 10000 = Per section 10 Total 5 section S/T = 5*10 = 50
Than
10000 To 67000 = Per Section 10 Total 57 Section S/T = 57*100 = 570
Total is = 50+570 = 620

Tags: TCS

Not Attempted

406. How many 4-digit numbers contain no.2?

Explanation:

Total number of four digit numbers =9000 (i.e 1000 to 9999 ) We try to find the number of numbers not having digit 2 in them.

Now consider the units place it can be selected in 9 ways (i.e 0,1,3,4,5,6,7,8,9) Tens place it can be selected in 9 ways (i.e 0,1,3,4,5,6,7,8,9)

Hundreds place it can be selected in 9 ways (i.e 0,1,3,4,5,6,7,8,9)

Thousands place can be selected in 8 ways (i.e 1,3,4,5,6,7,8,9) here '0' cannot be taken Total number of numbers not having digit 2 in it =9 x 9 x 9 x 8 =5832

Total number of numbers having digit 2 in it = 9000-5832 =3168

Tags: TCS

Not Attempted

407. If twenty four men and sixteen women work on a day, the total wages to be paid is 11,600. If twelve men and thirty seven women work on a day, the total wages to be paid remains the same. What is the wages paid to a man for a day's work?

Explanation:

Let man daily wages and woman daily wages be M and W respectively 24M+16W=11600
12M+37W=11600

By, solving the above equations gives M=350 and W=200

Tags: TCS

Not Attempted

408. If all the numbers between 11 and 100 are written on a piece of paper. How many times will the number 4 be used?

Explanation:

There are total 9 4's in 14, 24, 34...,94 & total 10 4's in 40,41,42....49

thus, 9+10=19.

Tags: TCS

Not Attempted

409. A manufacturer of chocolates makes 6 different flavors of chocolates. The chocolates are sold in boxes of 10.
How many "different" boxes of chocolates can be made?

Explanation:

If n similar articles are to be distributed to r persons, x1+x2+x3......xr=n each person is eligible to take any number of articles then the total ways are n+r?1Cr?1
In this case x1+x2+x3......x6=10

In such a case the formula for non negative integral solutions is n+r?1Cr?1 Here n = 6 and r = 10. So total ways are 10+6?1C6?1 = 3003

Tags: TCS

Not Attempted

410. Rajesh calculated his average over the last 24 tests and found it to be 76. He finds out that the marks for three tests have been inverted by mistake. The correct marks for these tests are 87, 79 and 98. What is the approximate percentage difference between his actual average and his incorrect average?