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 first term of the A.P.?

I. The sum of the first three terms is 30.

II.The product of the first three terms is 960.

- To find the first term of the arithmetic progression (A.P.), consider the statements provided:

- Statement I: The sum of the first three terms is 30.

- With this information alone, we cannot determine the first term precisely as there are multiple possible A.P. sequences that can sum to 30.

- Statement II: The product of the first three terms is 960.

- Similarly, this alone is insufficient because different sequences can produce the same product.

- Combined, the statements give us two equations, but they still do not provide a unique solution for the first term without further information.

- Option 4: Both statements together do not provide a complete, unique solution.

- Therefore, the correct option is: Option 4: The question cannot be answered unless more information is provided.

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