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 is the age of C in a group of A, B, C, D and E whose average age is 45 years? (I) Average of the ages of A and B is 53 years. (II) Average of the ages of D and E is 47 years.

  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 statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

We know A+B+C+D+E = 45 × 5 = 225 years. Statement I gives A+B = 53 × 2 = 106 years. Statement II gives D+E = 47 × 2 = 94 years. Using both: C = 225 - (A+B) - (D+E) = 225 - 106 - 94 = 25 years. Neither statement alone is sufficient, but together they give the answer.

Keep practicing — related questions