1000+ Capgemini Aptitude Questions with Answers Pdf - 1

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.

Ans: D

(106 × 106 - 94 × 94) = (106)² - (94)²

= (106 + 94) (106 - 94) = (200 × 12) = 2400.

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.

Ans: A

Unit digit in the given product = 8.

Unit digit of (9 × 6 × x × 4) is 8. So, x = 3.

Ans: C

796 × 796 - 204 × 204

= (796)² - (204)² = (796 + 204) (796 - 204) = (1000 × 592) = 592000.

[∴ (a - b)² = (a + b) (a - b)]