1000+ Microsoft Aptitude Questions and Answers Pdf - 1

Ans: D

Let the numbers be x and y. Then,

x² + y² = 3341 -----(i)

and x² - y² = 891 ----(ii)

Adding (i) and (ii) we get

2x² = 4232 or x² = 2116 or x = 46.

Subtracting (ii) from (i), we get

2y² = 2450 or y² = 1225 or y = 35.

So, the numbers are 35 and 46.

Ans: C

Let the ten’s digit be x.

Then, unit’s digit = (9 - x).

Number = 10x + (9 - x) = 9x + 9

Number obtained by reversing the digits

= 10 (9 - x) + x = 90 - 9x.

∴ (9x + 9) - 63 = 90 - 9x ⇔ 18x = 144 ⇔ x = 8.

So, ten’s digit = 8 and unit’s digit = 1.

Hence, the required number is 81.

Ans: D

Let the number be x.

Then, 2x + 20 = 8x - 4 ⇔ 6x = 24

⇔ x = 4.

Ans: C

Let the four consecutive even number be x, x + 2, x + 4 and x + 6.

Then, sum of these number = (27 × 4) = 108.

So, x + (x + 2) + (x + 4) + (x + 6) = 108 or 4x = 96 or x = 24.

∴ Largest number = (x + 6) = 30.

Ans: A

Let the numbers be x and y such that x > y.

Then, x (x + y) = 204 ⇒x² + xy = 204 -----(i)

and y(x - y) = 35 ⇒ xy – y² = 35 -----(ii)

Subtracting (ii) from (i), we get : x² + y² = 169.

The only triple satisfying this condition is (12, 5, 13).

Thus, x = 12, y = 5.