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Simple Interest - 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 sum which earned interest?
I.  The total simple interest was Rs. 7000 after 7 years.
 II.  The total of sum and simple interest was double of the sum after 5 years.

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:E - Both I and II are necessary to answer

Let the sum be Rs. x. I gives, S.I. = Rs. 7000 and T = 7 years. II gives, Sum + S.I. for 5 years = 2 x Sum          Sum = S.I. for 5 years. Now, S.I. for 7 years = Rs. 7000.

 S.I. for 1 year = Rs. 7000 = Rs. 1000.
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Thus, I and II both are needed to get the answer.  Correct answer is (E).