Each of the following questions is followed by two statements 1 If either of the statements I or II ...........

Math and Mental Ability Data Sufficiency

Each of the following questions is followed by two statements.

1.If either of the statements I or II alone but not the other is sufficient to answer the question.

2.If both the statements I or II alone are sufficient to answer the question.

3.If questions can be answered with the help of both statements together, but not with the help of either statement alone.

4.If question cannot be answered unless more information is provided.

What is the average score of Alok in the two tests?

I. His score in one of the tests was 105.

II.The difference in the scores of the two tests was 5.

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Explanation:

Let’s break this down:

- The question is: What’s Alok’s average score in two tests?

- Statement I says: In one test, he scored 105. That’s just one test—no idea about the second score, so it’s not enough.

- Statement II says: The difference between the scores is 5. That tells us how different the scores are, but gives us no numbers. Also not enough.

- Now, putting both together: If we know one score (105) and the difference (5), the other score could be either 110 or 100. But the average in both cases is (105+110)/2 = 107.5 or (105+100)/2 = 102.5—two possible answers, so still not a unique value.

So, here's what that means for the options:

- Option 1: Either statement alone is sufficient.

- Option 2: Each statement alone is sufficient.

- Option 3: Both together are sufficient (not true).

- Option 4: Can’t be answered without more info.

Correct answer: Option:4-4