1
Q:

# The sum of two numbers is 90 and their difference is 30. What is the difference of their squares?

Q:

On dividing a number by 96, we get 271 as quotient and 0 as remainder. On dividing the same number by 95, what will be the remainder ?

 A) 87 B) 59 C) 92 D) 81

Explanation:

Number = 271 x 96 + 0 = 26016

=> 95) 26016 (273
25935
--------
81

Required number = 81.

1 4
Q:

On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is  ?

 A) 476190476 B) 48617 C) 47619 D) 4587962

Explanation:

By hit and trail, we find that

47619 x 7 = 333333.

7) 333333 (47619
333333
----------------
0

And 476190476 x 7 = 3333333333 but smallest number is 47619.

1 17
Q:

Find the number which multiplied by 15 is increased by 56  ?

 A) 6 B) 4 C) 3 D) 12

Explanation:

Let the number be x. Then,

15x - x = 56

x = 4

1 16
Q:

96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ?

 A) 42 B) 54 C) 46 D) 58

Explanation:

Let x and y be the two parts of 96.

x/7 = y/9 => x:y = 7:9

=> The smallest part is = 7/16 x 96 = 42.

1 17
Q:

The least number of four digits which is divisible by 4, 6, 8 and 10 is ?

 A) 1107 B) 1080 C) 1100 D) 1208

Explanation:

LCM of 4, 6, 8 and 10 = 120
120) 1000 (8
960
------
40

The least number of four digits which is divisible by 4, 6, 8 and 10 => 1000 + 120 - 40 = 1080.