Capgemini Placement Papers and Solutions

Answer: Option (C)

Explanation:

We can write alpha = 35a ; beta = 35b

alpha + beta = 1085

=> 35(a + b) = 1085

=> (a + b) = 31.

We need to find pairs of co-prime integers that add up to 31.

Since 31 is prime. All pairs of integers that add up to 31 will be co-prime to each other.

There are a total of 15 pairs that satisfy this condition.

The answer is 15.

Answer: Option(C)

Explanation:

Let us assume he buys n goods.
Total CP = 20n
Total SP = 2 + 4 + 6 + 8 ….n terms
Total SP should be at least 40% more than total CP
2 + 4 + 6 + 8 ….n terms ≥ 1.4 * 20 n
2 (1 + 2 + 3 + ….n terms) ≥ 28n
n(n + 1) ≥ 28n
n² + n ≥ 28n
n² - 27n ≥ 0
n ≥ 27
The question is \" If he wants to make an overall profit of at least 40%, what is the minimum number of goods he should sell?\\\"
He should sell a minimum of 27 goods.

Solution: Option A
Explanation:

This is nothing but the number of ways of having a, b, c such that a + b + c = 11, where a, b, c are natural numbers. By having them to be natural numbers, we ensure that no box can be empty. (no zeroes)

¹⁰C₂ = 45 ways

Solution: Option D
Explanation:
3 fill pipes cancel out 2 drain pipes. Plus, you need an additional 4 fill pipes to fill the tank in 5 hours. so the answer has to be 5k + 4.
Both 54 and 29 are possible.

The question is \" which of the following are possible values of n?\"
Hence, the answer is \"2 and 3 only\".

Option D is the correct answer.

Solution:

Discriminant, D = 81 – 4|k|
If roots are real, D > 0
81 – 4|k| > 0
4|k| < 81
|k| < 20.25

Hence, –20.25 < k < 20.25
The integer values that k can take are –20, –19, –18 … 0 … 18, 19, and 20.

41 different values (Remember to include 0.)

The question is \"x² - 9x + |k| = 0 has real roots. How many integer values can \'k\' take?\"

Hence the answer is \"41\"

Solution:

Suppose the Speed of the river is ‘y’ kmph.

While rowing upstream he takes 2 hrs and while rowing downstream he takes 1\tfrac{1}{2} hour.

As the Distance covered is constant the ratio of the net Speeds of the boat while going upstream and downstream will be the inverse of the ratio of the Time taken.

Ratio of Time taken (downstream: upstream) = 1.5/2 =3/4

So the ratio of Speed of boat (downstream: upstream) = 4/3

Speed downstream: 10 + y Speed upstream : 10 – y

\frac{(10+y)}{((10-y) )} = \frac{4}{3}

30+3y=40-4y. Thus, 7y=10 & Y=10/7

Speed of river = 10/7 kmph

Solution:

CP = \frac{\text{difference in SP}}{\text{diffecrence in profit}}

CP of the horse = 1800\times \frac{100}{14.5-(-8)} = 1800\times \frac{100}{22.5}

=> CP = 8000.

Solution:

According to the question,

16x + 85 = 17(x + 3)
x = 34 + 3 = 37

Solution:

Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.

Required sale = Rs.[(6500 \times 6) - 34009]

= Rs. (39000 - 34009)

= Rs. 4991.

Solution:

Clearly, there are 52 cards, out of which there are 12 face cards.

P (getting a face card)= \frac{12}{52} =\frac{3}{13}

Currently there is no PrepInsta Explanation.

Fabled meaning ‘famous’
So answer is (a)

Oscillation - movement back and forth in a regular rhythm.
So answer is (d)

Answer is (c)

Most Old English poetry is preserved in four manuscripts in the late 10th and early 11th centuries.
So answer is (c)

Amal asked me if I spoke English.
So answer is (b)

Frazzled - showing the effects of exhaustion or strain.
So answer is (a)

Graceful - having or showing grace or elegance.
So answer is (b)

Currently there is no PrepInsta Explanation.

Riding shotgun - riding in the front seat of a vehicle next to the driver
So answer is (c)