Multiple choice

A question and some statements are given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers. What is the Weight of the Teacher? I. There are 24 students in the class. II. The average weight of students and the professor is 64 Kg. III. The average weight of the professor and students is 2 Kg more than that of students

  1. The data in both the statement I and II together is sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

  2. The data in both the statement II and III together is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. The data in both the statement I and III together is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  4. The data given in all statements I, II and III together are necessary to answer the question.

  5. The data given in all statements I, II and III are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statements give: 24 students, average of (students + teacher) = 64kg, and professor + students average is 2kg more than students alone. This gives relationships but no actual weight values. We can find that teacher's weight exceeds student average by (24 × 2) = 48kg, but without knowing the actual student average weight, we cannot determine teacher's absolute weight.

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