1)

A 4-digit number is formed by repeating a 2-digit number such as 2525, 3232 etc. Any number of this form is exactly divisible by :


A) 7

B) 11

C) 13

D) smallest 3-digit prime number

Answer:

Option D

Explanation:

Let the units digit be x and ten's digit be y

Number = 1000y + 100x + 10y + x = 1010y + 101x = 101(10y+x)

So this number is divisible by 101. Which is the smallest three-digit prime number.