GMAT Quantitative Reasoning Practice Test 3

Question : 55 of 100

Marks: +1, -0

If the sum of six numbers is between 135 and 164, then the average (arithmetic mean) of the six numbers could be which of the following?

Solution:

Define

X

as the sum of all the six numbers,

135< X< 164

.
The average of the six numbers, using the average formula, is

X \/ 6

.
Divide both sided of the equation by

6: 135 / 6< X / 6< 164 / 622.5< \;\; X / 6< 27.33

.
The average has to be in that range and therefore the only answer could be 25.5 .

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