Question

If a 4-digit number 4XY2 is exactly divisible by 3, then which of the following can be the least value of (X + Y)?

• A. 3
• B. 5
• C. 6
• D. 4

Answer 1

The correct option is A 3

If the 4-digit number 4XY2 is divisible by 3, then the sum of its digits will be divisible by 3.
4 + X + Y + 2 = 6 + X + Y
6 is divisible by 3 already.
So, to make 6 + X + Y divisible by 3, X + Y should also be divisible by 3.
So the least value X + Y can take is 3.
Hence option ‘a’ is the answer.