XAT 2024 — QA & DI Question 13
DivisibilityEasy
Consider a 4-digit number of the form abbb, i.e., the first digit is a (a > 0) and the last three digits are all b. Which of the following conditions is both NECESSARY and SUFFICIENT to ensure that the 4-digit number is divisible by a?
Answer & solution
- A
b is divisible by a
- B
b is equal to 0
- C
21b is divisible by a
- D
9b is divisible by a
3b is divisible by a