Question

I am a three-digit number. All my digits are different. The ones place digit and the hundred place digit are divisible by 4. The tens place digit is divisible by 3. The hundreds place digit is the second multiple of 4. Which one can be the number among the options given below?

• A. 468
• B. 864
• C. 464
• D. 486

Answer 1

The correct option is B 864

It is given that the ones place digit and the hundreds place digit are divisible by 4.

It is also given that the tens place digit is divisible by 3.

484:
This is not possible as all digits should be different in the original number.


468:
Both the ones place digit and the hundred place digit are divisible by 4.

But, here, the hundreds place digit is 4.

Hence, it is not correct.


486:

Here, the tens place digit is 8. It is not divisible by 3.

Hence, it is also not correct.


864:


Here, the tens place digit is 6, and it is divisible by 3.
The hundreds place digit is 8; it is the second multiple of 4.
Both the ones place digit and the hundreds place digits are divisible by 4.

Hence, the correct option is 864.