Discussion Forum



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.

  • Mark answer (A) if (I) alone sufficient while (II) alone not sufficient to answer
  • Mark answer (B) if (II) alone sufficient while (I) alone not sufficient to answer.
  • Mark answer (C) if Either (I) or (II) alone sufficient to answer.
  • Mark answer (D) Both (I) and (II) are not sufficient to answer.
  • Mark answer (E) Both (I) and (II) are necessary to answer.
1)

What is the ratio between the ages of mother and the son?

I) The sum of their ages is ages is 50 years.
II) 3 times the sum of thier ages is equal to 5 times the mother's age.


A) I) alone sufficient while II) alone not sufficient

B) II) alone sufficient while I) alone not sufficient

C) Either I) or II) alone sufficient

D) Both I) and II) are not sufficient

E) Both I) and II) are necessary

Answer:

Option B

Explanation:

$M$ = Mother
$S$ = Son

I) $M+S=50--------(1)$
II) $3(M+S)=5M-----(2)$

From II we get $2M-3S$ $\Leftrightarrow \frac{M}{S}$ $=\frac{3}{2}$

Thus, (II) alone gives the answer, but (I) alone doesn't give the answer.
$\therefore $ Correct answer is (B).