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Area - General Aptitude

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 height of the triangle?
I.  The area of the triangle is 20 times its base.
 II.  The perimeter of the triangle is equal to the perimeter of a square of side 10 cm.

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:A - I alone sufficient while II alone not sufficient to answer

 I. A = 20 x B          1 x B x H = 20 x B          H = 40.
2
 I alone gives the answer. II gives, perimeter of the triangle = 40 cm. This does not give the height of the triangle.  Correct answer is (A).