# Placement Questions & Answers :: TCS

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41. A clock showed 5 min past 3'0 clock on Sunday evening when the correct time was 3'0 clock it looses uniformly and was observed to be 10 min slow on the subsequent Tuesday at 9pm . when did the clock show the correct time

**Answer:**** Option D **

**Explanation:**

Clock showed 5 min past 3'0 clock on Sunday evening when the correct time was 3'0 clock.

It looses uniformly and was observed to be 10 min slow on the subsequent Tuesday at 9pm .

In 54 hrs , it lost 15 mins.

so 5 mins are lost in 5*54/15 = 18 hrs

so watch showed correct time at 1500+1800-2400= 0900 hrs on Monday i.e 9AM Monday

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42. find the number that can be put in place of the question mark

5,6,?,87,412,2185.

**Answer:**** Option D **

**Explanation:**

series in the form of 5*1+1^3=6,6*2+2^3=20,20*3+3^3=87,87*4+4^3=412,412*5+5^3=125.

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43. Find the no of zeros in the product of 1^1*2^2*3^3*.....*49^49?

**Answer:**** Option A **

**Explanation:**

2*5=10

5^5 5 times 5

10^10 10 times 5

15^15 15

......

25^25 50

.....

5+10+15+20+2*25+30+35+40+45=250

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44. A boy buys 18 sharpeners (brown or white) for Rs. 100. For every white sharpener, he pays one rupee more than the brown sharpener. What is the cost of white sharpener & how much did he buy?

**Answer:**** Option C **

**Explanation:**

Assume that he bought b, brown sharpeners and w, white sharpeners and the cost of brown sharpener is x and white sharpener is x + 1

So w(x+1) + bx = 100

w + b = 18

b = 18 - w

Substituting in equation 1, we get w(x+1) + (18 -w)x = 100 so w + 18 x = 100

Take option 1: If white sharpners are 13, x = (100 - 13) /18 = 4.833

Option 2, If white sharpeners are 10, x = (100 - 10)/18 = 5 So white sharpeners cost is 6.

Option 3 Satisfies this condition.

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45. Fathers age is 5 times his son's age. 4 years back the father was 9 times older than son. Find the fathers present age.

**Answer:**** Option A **

**Explanation:**

lets assume son age=x

fathers age=5x

4 years back, so (x-4)=(5x-4)

then father was 9 times older than son so, 9(x-4)=(5x-4).....(1)

solving eqn (1), x=8

and fathers age =8*5=40 years

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46. It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010

**Answer:**** Option C **

**Explanation:**

Here is no explanation for this answer

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47. Three men rent a farm for Rs. 7000 per annum. A puts 110 cows in the farm for 3 months, B puts 110 cows for 6 months and C puts 440 cows for 3 months. What percentage of the total expenditure should A pay?

**Answer:**** Option B **

**Explanation:**

A:B:C=110*3:110*6:440*3 = 3:6:12 = 1:2:4

share of A = 1/(1+2+4) * 7000 = 1000

% expenditure of A = 1000/7000 *100 = 100/7 = 14.28%

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48. The cost price of two types of tea are Rs. 180 per kg and Rs. 200 per kg respectively. On mixing them in the ratio 5:3, the mixture is sold at Rs. 210 per kg . In the whole transaction, the gain percent is

**Answer:**** Option C **

**Explanation:**

Mixing ratio=5:3

1st type tea=5/8

2nd type of tea=3/8

therefore 1 kg of mixed tea price/kg=>180*(5/8)+200*(3/8)=187.5.

total profit=210-187.5=22.5

therefore % of profit=(22.5/187.5)*100=12%

**ShortCut By ::**

**ajay**

ratio is 5:3

5x+3x=210

8x=210 => x=1680

1st type tea = 180*5 =900

2nd type tea = 200*3=600

total is =1500

profit=1680-1500 = 180

gain= (180/1500)*100= 12%

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49. A circular tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of conical portion is 53m, calculate the length of the canvas 5 m wide to make the required tent?

**Answer:**** Option D **

**Explanation:**

Surface area of Tent= surface area of the cylinder + surface area of the cone

=(2*pi*r*h)+ (pi*r*l)

=2*(22/7)*(105/2)*3+(22/7)*(105/2)*53

=9735 sq.m

l*b=9735

b=5m,

l=9735/5 => l=1947m

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50. A man is standing in front of a painting of a man, and he tells us the following: Brothers and sisters have I none, but this man's father is my father's son. Who is on the painting?

**Answer:**** Option C **

**Explanation:**

Here is no explanation for this answer

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