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What is the range of set T containing six positive integers? (1) The smallest number in T is 4 and the largest is 28 (2) The median of T is 15

GMAT · 2021 · Quantitative
Question:
What is the range of set T containing six positive integers? (1) The smallest number in T is 4 and the largest is 28 (2) The median of T is 15

Options

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
(D) EACH statement ALONE is sufficient
(E) Statements (1) and (2) TOGETHER are NOT sufficient
Answer: (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient

Explanation:
Range = largest - smallest. Statement (1): Directly gives smallest = 4 and largest = 28, so range = 24. Sufficient. Statement (2): Median = 15 means average of 3rd and 4th values is 15, but does not give range. Insufficient.

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