rxs0005 wrote:
If the average (arithmetic mean) of 6 numbers is 75, how many of the numbers are greater than 75?
(1) Four of the numbers are equal to 75.
(2) One of the numbers is less than 75.
The question is really good, but the statement 1 creates confusion as to if 4 numbers are equal to 75 or exactly 4 numbers are equal to 75.... I don't think any such ambiguous question is asked in the exam as GMAT is renowned for clean questions. They are required to test QA skill and not ambiguity skill here. Many people have done mistake in this question just because of the language of statement 1 which justifies the ambiguity of the statement 1. If someone can give reference to similar question from
OG it would be highly helpful (Do provide the GMAT Club link of the same).
Bunuel can you throw some light in this regard.
Anyway we can write the solution as per the original answer as below :
AM of 6 numbers 75.
DS : How many numbers are greater than 75.
Statement 1 : 4 numbers are equal to 75.
We don't know about the other 2 numbers
2 possibilities : (a) one number is smaller than 75 and the other number is greater than 75 (b) Both numbers are equal to 75.
NOT SUFFICIENTStatement 2 : One number is less than 75
We don't know about the other 5 numbers.
NOT SUFFICIENTCombined :
one number is smaller than 75 and the other number is greater than 75
SUFFICIENT Answer C
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