Is x a Multiple of 5?

Hard Problem Solving Arithmetic

Let $x$ be a positive integer. We want to determine whether $x$ is a multiple of 5.

1. $x$ is the product of two distinct prime numbers.

2. The sum of the digits of $x$ is 10.

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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% Correct70%