Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What was the ratio between the ages of P and Q four years ago? (I) The ratio between the present ages of P and Q is 3 : 4. (II) The ratio between the present ages of Q and R is 4 : 5.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements together are sufficient, but neither statement alone is sufficient.

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives P:Q = 3:4 currently, so 4 years ago P-4:Q-4 could be anything. Statement II gives Q:R = 4:5, but introduces R (irrelevant to P:Q ratio). Even together, we don't know actual ages—only ratios. Without actual ages or sum, we cannot determine the ratio 4 years ago.