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Source: — Data Sufficiency |

by Anurag@Gurome » Sat Jan 21, 2012 9:45 pm
sud21 wrote:X is in the set 2, 4, 8, 10, and x, what is x?
1) The average of the numbers is equal to the median
2) X is not 16
Average of the numbers = (2 + 4 + 8 + 10 + x)/5 = (24 + x)/5

Statement 1:
  • # For x ≤ 4, median = 4 = (24 + x)/5 ---> x = -4
    # For 4 < x < 8, median = x = (24 + x)/5 ---> x = 6
    # For x ≥ 8, median = 8 = (24 + x)/5 ---> x = 16
Hence, x can have any of the three values (-4, 6, and 16).

Not sufficient

Statement 2: x can be anything.

Not sufficient

1 & 2 Together: x can be either -4 or 6.

Not sufficient

The correct answer is E.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

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