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Volume and Surface Area

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.

Q1:
What is the volume of 32 metre high cylindrical tank?
I.  The area of its base is 154 m2.
 II.  The diameter of the base is 14 m.

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

ANS:C - Either I or II alone sufficient to answer

Given, height = 32 m. I gives, area of the base = 154 m2.  Volume = (Area of the base x Height) = (154 x 32) m3. Thus, I alone gives the answer. II gives, radius of the base = 7 m.

 Volume = r2h = 22 x 7 x 7 x 32 m3 = 4928 m3.
7
Thus, II alone gives the answer.  Correct answer is (C).



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