Multiple choice

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question In a class the average age of 22 students and a teacher is 20 years. What is the age of the teacher. I. The teacher's age is 25 years more than the age of the eldest student. II. The average age of the 19 students without the teacher is 16 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
D Correct answer
Explanation

Total age of 22 students + 1 teacher = 23 × 20 = 460 years. From I: Teacher = Eldest student + 25. From II: Average of 19 students (without teacher) is 16 years, so their sum = 19 × 16 = 304. But we don't know which 19 students these are or how they relate to the eldest student. Combining both statements doesn't give a unique solution since we don't know the age of the eldest student or which students are included in statement II. The answer key is correct.

Keep practicing — related questions