Jeff Miller

GMAT OFFICIAL GUIDE PS – If the range of the six numbers 4,3,14,7,10 and x is 12, what is the difference…

If the range of the six numbers 4,3,14,7,10 and x is 12, what is the difference…

Solution:

We are given that the range of the six numbers 4,3,14,7,10, and x is 12.

If x is the largest value in the list, then 3 would be the smallest number in the list. Since the range is 12, the largest number that x could be is 3 + 12 = 15.

If x is the smallest value in the list, then 14 would be the largest number in the list. Since the range is 12, the smallest number that x could be is 14 – 12 = 2.

Thus, the difference between the largest and smallest possible values of x is 15 – 2 = 13.

Answer: D 

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