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.

Is ABCD a square?

I. ABCD is a rhombus.

II.ABCD is a rectangle.

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Explanation:

- Statement I: ABCD is a rhombus. A rhombus has equal sides, but it is not necessarily a square unless it also has right angles. Alone, this statement is not sufficient.

- Statement II: ABCD is a rectangle. A rectangle has right angles and opposite sides are equal. Alone, this statement is not sufficient because the sides need to be equal as well for it to be a square.

- When combined: If ABCD is both a rhombus (equal sides) and a rectangle (right angles), then ABCD must be a square.

- Option 3 is correct: The question can be answered with the help of both statements together, but not with the help of either statement alone.