6 November 2024 | GMAT | QUANT

Question of The Day
1

A list of numbers has six positive integers. Three of those integers are known: 4, 5 and 24 and three of those are unknown: x, y and z. The three unknowns are known to be distinct. It is also known that the mean of the list is 10 and the median lies between 7 and 8 (exclusive).

Which of the following CANNOT be the value of any one of the unknowns?

  • (A) 13
  • (B) 12
  • (C) 11
  • (D) 10
  • (E) 5
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Option C

3

Hey @harshshah , how did you solve it?
I just guessed the answer, couldn’t find the solution myself

4

well, the median lies between 7 and 8 and as it can either be an even number or number ending with .5, you can easily deduce that , it’s 7.5

So the sum of the two numbers in the middle will be - 2*7.5 i.e 15

The third integer will be 27-15: i.e 12

It’s a piece of cake solving the rest.