Aptitude - Volume and Surface Area - Discussion

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"Time and tide wait for none."

- Alexander Pope

Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

Is a given rectangular block, a cube?
I.
At least 2 faces of the rectangular block are squares.
II.
The volume of the block is 64.

[A].	I alone sufficient while II alone not sufficient to answer
[B].	II alone sufficient while I alone not sufficient to answer
[C].	Either I or II alone sufficient to answer
[D].	Both I and II are not sufficient to answer
[E].	Both I and II are necessary to answer

Answer: Option A

Explanation:

I gives, any two of l, b, h are equal.

II gives, lbh = 64.

From I and II, the values of l, b, h may be (1 ,1 , 64), (2 ,2 ,16), (4, 4, 4).

Thus, the block may be a cube or cuboid.

Correct answer is (D).

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Aptitude - Volume and Surface Area - Discussion

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