Principles of Data Sufficiency

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 5

If p is the circumference of the circle Q, what is the value of p?

(1) The radius of circle Q is 5.

(2) The area of circle Q is 25π.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

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Correct Answer: D

If we know the radius of the circle, we can draw a unique circle with the radius and can then measure the circumference. So, Statement (1) alone is sufficient.

Now, the area of the circle Q = π × radius² = 25π Solving the equation for the radius yields radius = 5

Hence, we have the radius from Statement (2) alone, and therefore Statement (2) alone is sufficient. The answer is (D).

Principles of Data Sufficiency

Question: 5

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Correct Answer: D

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