Question

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

• A. 7
• B. 11
• C. 13
• D. Smallest 3-digit prime number

Answer 1

The correct option is D Smallest 3-digit prime number

Let the unit digit be x and ten's digit be y
$\therefore Number=1000y+100x+10y+x$
$\Rightarrow 1010y+101x$
$\Rightarrow 101(10y+x)$
So this number is divisible by 101,which is smallest three digit Prime number.