Is the number represented by $ab$ divisible by $3$? Statement I: The sum of its digits is $15$. Statement II: The units digit is $4$. Choose the standard data-sufficiency option.

Question

Is the number represented by $ab$ divisible by $3$?

Statement I: The sum of its digits is $15$.

Statement II: The units digit is $4$.

Choose the standard data-sufficiency option.

Option A — Correct answer

A

Correct choice.

Option B

B

Option C

C

Option D

D

Option E

E

Explanation

Statement I alone is sufficient because divisibility by $3$ depends on the sum of digits, and $15$ is divisible by $3$. Statement II alone is insufficient. So the answer is A.

Chapter Mock 16: Data Sufficiency