akshayleo25
D is the median of set M. n is a positive integer. If Set M contains only the numbers 37, 45, 7, 12, 21, 22, and n, then what is the value of D?
(1) n > 40
(2) n < 22
What would be the answer of this Question? D or E?
I have marked E as option 1 gives 21 and option 2 as 22.
But the solution says D. Please help
D is the median of set M. n is a positive integer. If Set M contains only the numbers 37, 45, 7, 12, 21, 22, and n, then what is the value of D?M={7, 12, 21, 22, 37, 45, n}. The median of a set with odd number of elements is the middle term when arranged in ascending/descending order.
(1) n > 40 --> the middle term is 22. Sufficient.
(2) n < 22 --> the middle term is 21. Sufficient.
Technically answer should be D, as EACH statement ALONE is sufficient to answer the question.
But even though formal answer to the question is D (EACH statement ALONE is sufficient), this is not a realistic GMAT question, as:
on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other. But the statements above contradict each other:
From (1) we have that n > 40 and from (2) we have that n < 22. The statements clearly contradict each other.
So, the question is flawed. You won't see such a question on the test.
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