Each question is followed by two statements I and II Mark the answer 1 If the question can be answer...........

Math and Mental Ability Data Sufficiency

Each question is followed by two statements, I and II. Mark the answer:

1.If the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.

2.If the question can be answered by using either statement alone.

3.If the question can be answered by using both statements together, but cannot be answered using either statement alone.

4.If the question cannot be answered even by using both statements together.

What is the remainder when x is divided by 20?

I. x is a multiple of 2.

II.X is a multiple of 5.

- The question asks for the remainder when \( x \) is divided by 20.

- Statement I: \( x \) is a multiple of 2.

- This means \( x \) could be 2, 4, 6, etc., none guarantees a specific remainder when divided by 20.

- Statement II: \( x \) is a multiple of 5.

- This means \( x \) could be 5, 10, 15, 25, etc., again giving various remainders when divided by 20.

- Combining both I and II, \( x \) is a multiple of both 2 and 5, meaning \( x \) is a multiple of 10.

- However, multiples of 10 (like 10, 20, 30) give different remainders when divided by 20.

- None of the individual statements nor their combination provides a fixed remainder when \( x \) is divided by 20.

- Correct Answer is Option: 4 - The question cannot be answered even with both statements together.

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