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A 4-digit number is formed by repeating a 2-digit number such as 2525, 3232, etc. Any number of this form is always exactly divisible by :
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- 7
- 11
- 13
- Smallest 3-digit prime number
Correct Option: D
Let the unit digit be p and ten’s digit be q.
∴ Number = 1000q + 100p + 10q + p
Number = 1010q + 101p = 101(10q + p)
Clearly, this number is divisible by 101, which is the smallest three-digit prime number.
