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GMAT Question of the Day - Data Sufficiency - Number Properties

If x is a two digit positive integer, is x even?

(1) x can be written as the sum of the cubes of 3 different positive integers

(2) x is a prime number

Answer Show

GMAT Question of the Day Solution

My GMAT tutoring students probably get tired of me saying: stay organized! Well - that will really help in analyzing statement (1) of this question of the day. This is the time to make a chart. Of what? Of all the cubes which are less than 100. Then you can see what options you have for values of x. Once you do that you will see that the list is limited to 1, 8, 27, and 64. Picking sets of three you can create 36, 73, 92, and 99. Both odd and even integers. Insufficient. Statement (2) doesn't seem to provide much information but it's sufficient. 2 is the only even prime. x is a 2 digit integer so two is not a possible value. x must be odd.

GMAT Question of the Day Data Sufficiency Number Properties Solution Diagram

 

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