Question

What is the average (arithmetic mean) height of the n people of a certain group?

(1) Height of the tallest person in the group is 6 feet 2.5 inches and the average height of the rest of the people in the group is 5 feet 10 inches

(2) The sum of the heights of the n people is 178 feet 9 inches

• A. If the question can be answered with statement 1 alone
• B. If the question can be answered with statement 2 alone
• C. If both statement 1 and statement 2 are needed to answer the question and
• D. If the question cannot be answered even with the help of both statements

Answer 1

The correct option is C

If both statement 1 and statement 2 are needed to answer the question and

$Fromstatement1:\frac{74.5+(n-1)70}{n}$

$Fromstatement2:74.5+(n-1)70=2145$

Using both the statements, average height of the n people can be determined.