Discussion of Question with ID = 027 under Data-Sufficiency

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Question

You have to decide whether the data provided in the statements are sufficient to answer the question. Read the statements and give your answer.

What are the sides of a right-angled triangle ?

1. The difference between the hypotenuse and base is 6 cm.
2. The difference between the hypotenuse and perpendicular is 3 cm.
A

if statement I alone is sufficient but statement II alone is not sufficient.

B

if statement II alone is sufficient but statement I alone is not sufficient.

C

if both statements I and II together are sufficient but neither of statements alone is sufficient.

D

if each statement alone is sufficient.

Soln.
Ans: c

From statement I, H − B = 6 and from statement II, H − P = 3. Now we know that in right angle triangle H ² = P ² + B ². By solving these three equations, sides of triangle can be known. Hence, both the statements are required to answer the question.