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# Placement Questions & Answers :: TCS

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#### Co. Cloud

Not Attempted

221. A man can hit a target once in 3 shots.If he fires 3 shots in succession, find the probability that he will hit his target.

Explanation:

Probability of hitting the target = (1 - probability of not hitting the target)
if man hits once every 3 balls,
probability of hitting = 1/3 => probability of not hitting=2/3
So, probability of not hitting the target all three times = (2/3)* (2/3)* (2/3) = 8/27
=> Probability of hitting target = (1 - 8/27) = 19/27

Tags: TCS

Not Attempted

222.

In the given below figure, If the sum of the values along each side is equal.

Find the possible values a, b, c, d, e, and f.

Explanation:

42 + a + b = 47 + e

=> a + b = 5 + e ----- (1)

by eq. (1) option a, b ruled out.

47 + e = 15 + f

=> 32 + e = f ------- (2)

Option d will be ruled out

So Option will fit in eq. (1) & (2)

Tags: TCS

ShortCut
Not Attempted

223. 4 men throw a die each simultaneously. Find the probability that at least 2 people get the same number

Explanation:

1-(probability of not getting same no.)=1-((6*5*4*3)/(6*6*6*6))
=(1-5/18) = 13/18

ShortCut By :: srruthi

1-(probability of not getting same no.)=1-((6*5*4*3)/(6*6*6*6))

=(1-5/18) = 13/18

Tags: TCS

Not Attempted

224. 17 X 8 m rectangular ground is surrounded by 1.5 m width path. Depth of the path is 12 cm. Gravel is filled and find the quantity of gravel required.

Explanation:

Area of the rectangular ground = 17*8=136 m^2

Area of the big rectangle considering the path width = (17+2*1.5)*(8+2*1.5) = 220 m^2

Area of the path = 220−136 = 84 m^2

Gravel required = 84 m^2 * 12/100 m = 10.08 m^3

Tags: TCS

Not Attempted

225. There are 120 male and 100 female in a society. Out of 25% male and 20% female are rural. 20% of male and 25% of female rural people passed in the exam. What % of rural students have passed the exam?

Explanation:

Given 120 male and 100 female society.
Rural male = 25*120/100= 30, Rural female = 20*100/100 = 20.
Passed students from rural:
male = 20*30/100 = 6, female = 25*20/100 = 5
Required percentage = 11/50*100=22%

Tags: TCS

Not Attempted

226. 1/7 th of the tank contains fuel. If 22 litres of fuel is poured into the tank the indicator rests at 1/5th mark. What is the quantity of the tank?

Explanation:

Lets assume the quantity of tank = x
x/7 + 22 = x/5
=> x/5-x/7 = 22
=> 2x/35 = 22 => x = 385

Tags: TCS

Not Attempted

227. What is the remainder of (32^31^301) when it is divided by 9?

Explanation:

32^31^301
when 31 divided by 9 gives remainder 5
5 5^2 5^3 all gives the same unit digit 5
so 31^32 gives unit digit 5
same rule applicable to 31^301
when 31 divided by 9 gives remainder 4
4 4^2 4^3 4^4 =4 6 4 6 unit place repeats for every 2 times i,e for even power its uint place is 6 and for odd its 4
as 301 is odd its unit place is 4
so 31^32^301=31^4=5^4=5

Tags: TCS

Not Attempted

228. How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.

Explanation:

Single digit number = 4
Double digit number = 4*3 = 12
Three digit numbers = 3*3*2= 18
Total = 34.

Tags: TCS

Not Attempted

229. In how many possible ways can write 3240 as a product of 3 positive integers a,b and c.

Explanation:

3240 = 23*34*51 = a*b*c

We have to distribute three 2's to a, b, c in 3+3−1C3−1 = 5C2 = 10 ways

We have to distribute four 3's to a, b, c in 3+4−1C3−1 = 6C2 = 15 ways

We have to distribute one 5 to a, b, c in 3 ways.

Total ways = 10*15*3 = 450 ways

Tags: TCS

Not Attempted

230.

What is the next number?

11, 23, 47, 83, 131, ....

Explanation:

23–11 = 12

47–23 = 24

83–47 = 36

131–83 = 48

Therefore, 131+60=191