Question

If no student took test T more than once, how many students took test T?
I. The average (arithmetic mean) of the students' scores on test T was 72.
II. The sum of the students' scores on test T was 2232.
Decide whether the data in the statements are sufficient to answer the question.

• A. if Statement I alone is sufficient but Statement II alone is not sufficient to answer the question
• B. if Statement II alone is sufficient but Statement I alone is not sufficient to answer the question
• C. if both statements taken together are sufficient to answer the question but neither Statement alone is sufficient
• D. if Statements I and II together are not sufficient, and additional data is needed to answer the question

Answer 1

Answer: (C)

if both statements taken together are sufficient to answer the question but neither Statement alone is sufficient

Answer 2

Statement 1: Insufficient
Number of students not able to find
Statement 2: Insufficient
We don't know how many students or the Average
Statements both:
$\text{Average} = \frac{\text{sum}}{\text{students}}$
let x=students who took test T.
$72 = \frac{2,232}{x}$
$72 x=2,232$
$x = \frac{2,232}{72}$
So, sufficient
So the correct option is (C) .