CSATData Interpretation & SufficiencyAlgebra2024

A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question: Is (x + y) an integer? 1. Statement-I : (2x + y) is an integer. 2. Statement-II : (x + 2y) is an integer. Which one of the following is correct in respect of the above Question and the Statements?

A

The Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone

B

The Question can be answered by using either Statement alone

C

The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone

D

The Question cannot be answered even by using both the Statements together

Correct Answer: Option D

Explanation

1. **Analyze the goal:** We need to know if $(x + y)$ is an integer. 2. **Check Statement 1 alone:** $(2x + y)$ is an integer. Let's test with numbers. - If $x=1, y=1$, then $2(1)+1 = 3$ (

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