Question

The sum of 75 and the number obtained by reversing its digits is divisible by 4 and 11

• A. True
• B. False

Answer 1

The correct option is A

True

Number = 75

Reversed number = 57

Sum = 75 + 57 = 132

132 can be written as below.

132 = 11 $\times$ 3 $\times$ 2 $\times$ 2

132 is divisible by 11

For a number to be divisible by 4, the number formed by the last two digits should be divisible by 4, 32 is divisible by 4 ,

Hence 132 is divisible by both 4 and 11