1000+ Capgemini Aptitude Questions with Answers Pdf - 1
Question: 1
Given n = 1 + x and x is the product of four consecutive integers. Then which of the following is true?
I. n is odd integer.
II. n is prime
III. n is a perfect square
(A) only I is correct
(B) only III is correct
(C) Both I and II are correct
(D) Both I and III are correct
Ans: D
Out of four consecutive integers two are even and therefore, their product is even and on adding 1 to it, we get an odd integer. So, n is odd. Some possible values of n are as under.
n = 1 + (1 × 2 × 3 × 4) = (1 + 24) = 25 = 52.
n = 1 + (2 × 3 × 4 × 5) = (1 + 120) = 121 = 112.
n = 1 + (3 × 4 × 5 × 6) = (1 + 360) = 361 = 192.
n = 1 + (4 × 5 × 6 × 7) = (1 + 840) = 292 and so on.
Hence, n is odd and a perfect square.
Question: 2
106 × 106 - 94 × 94 = ?
(A) 1904
(B) 1906
(C) 2000
(D) 2400
Ans: D
(106 × 106 - 94 × 94) = (106)2 - (94)2
= (106 + 94) (106 - 94) = (200 × 12) = 2400.
Question: 3
Simplify
$${(963 + 476)^2 + (963 – 476)^2} /{ (963 × 963 + 476 × 476)}$$ = ?
(A) 1
(B) 2
(C) 4
(D) 6
Ans: B
Given expression = $${(a + b)^2 + (a - b)}^2/ {(a^2 + b^2)}$$
(where a = 963 and b = 476) = $${2(a^2 + b^2)} / {(a^2 + b^2)}$$ = 2.
Question: 4
In the product 459 × 46 × 28* × 484, the digit in the unit place is 8. The digit to come in place of * is
(A) 3
(B) 5
(C) 7
(D) 9
Ans: A
Unit digit in the given product = 8.
Unit digit of (9 × 6 × x × 4) is 8. So, x = 3.
Question: 5
Evaluate
796 × 796 - 204 × 204 = ?
(A) 392000
(B) 492000
(C) 592000
(D) 692000
Ans: C
796 × 796 - 204 × 204
= (796)2 - (204)2 = (796 + 204) (796 - 204) = (1000 × 592) = 592000.
[∴ (a - b)2 = (a + b) (a - b)]
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