Multiple choice

Directions: The following question is accompanied by two statements A and B. You have to determine which statement(s) is/are sufficient/necessary to answer the question. The present age of P is 20% less than the present age of Q and the present age of R is 20% more than the present age of Q. The present age of S is 20% less than the present age of R and the present age of T is 5/3 than the present age of S. Find the age of Q after 7 years. (A) The average of the present ages of P, Q and R together is 25 years. (B) The average of the present ages of P, Q, R, S and T together is 27.8 years.

  1. Statement A alone is sufficient to answer the question, but statement B alone is not sufficient to answer the question.

  2. Statement B alone is sufficient to answer the question, but statement A alone is not sufficient to answer the question.

  3. Both the statements taken together are necessary to answer the question, but neither of the statements alone is sufficient to answer the question.

  4. Either statement A or statement B by itself is sufficient to answer the question.

  5. Statements A and B taken together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Q's present age be q. Then P = 0.8q and R = 1.2q, so their average is q, making statement A sufficient. The five-age sum is 5.56q, so statement B also determines q, making either statement sufficient.

AI explanation

Using the percentage relationships given in the prompt, the ages of P, R, S, and T can all be expressed in terms of Q. Statement A provides the average of P, Q, and R as 25 years, which sets up an equation where 0.8Q plus Q plus 1.2Q equals 75, allowing you to solve for Q. Statement B provides the average of all five people, creating an equation where 0.8Q plus Q plus 1.2Q plus 0.96Q plus 1.6Q equals 139, which also allows you to solve for Q. Therefore, either statement alone is sufficient.

Keep practicing — related questions