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Problems on Ages - 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 Sonia's present age?
I.  Sonia's present age is five times Deepak's present age.
 II.  Five years ago her age was twenty-five times Deepak's age at that time.

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

I. S = 5D     D = S ....(i)
5
II. S - 5 = 25 (D - 5)     S = 25D - 120 ....(ii)
Using (i) in (ii), we get S = 25 x S - 120
5
 4S = 120.  S = 30. Thus, I and II both together give the answer. So, correct answer is (E).