Data Sufficiency - Quant/Math - CAT 2008

The question for the day is a data sufficiency question.

In this question, there is a question statement which is followed by two statements. You have to decide whether the information provided in the two statements is sufficient for answering the question.

Mark 1

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

Mark 2

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

Mark 3

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

Mark 4

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

Question:

What is the area of the top of the table?

1. The top of the table is circular in shape.
2. The radius of the top of the table is 20 cm.

Solution:

We need to find the area of the top of the table.

Statement A: It mentions that the table top is circular in shape. But the statement is not sufficient to answer the question.

Statement B: It mentions the radius of the top of the table. However, it does not mention about the shape of the table top. It could be circular or semicircular or could be a sector of a circle. Therefore, statement B alone is not sufficient.

Statement A and Statement B together however gives us information about the shape and the dimension (radius) required to find the area. Hence, the answer is (3).

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