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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:

The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle?
I.  The base of the triangle is 40 cm.
 II.  The height of the triangle is 50 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:D - Both I and II are not sufficient to answer

Given: Area of rectangle = Area of a right-angles triangle.

 l x b = 1 x B x H
2
I gives, B = 40 cm. II gives, H = 50 cm. Thus, to find l, we need b also, which is not given.  Given data is not sufficient to give the answer.  Correct answer is (D).