题目信息
Of the numbers q, r, s, and t, which is greatest?
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.
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正确答案：
E:Statements (1) and (2) TOGETHER are NOT sufficient.
Algebra Statistics
Determine which of the numbers q, r, s, and t is the greatest.
Given that
, then s is halfway between q and r and q ≤ s ≤ r or r ≤ s ≤ q. So it is possible that q is the greatest, it is possible that r is the greatest, and it is possible that t is the greatest since no information is given about t; NOT sufficient.
Given that t = q + r, it is not possible to determine which of q, r, s, and t is greatest. For example, if q = 1, r = 5, s = 3, and t = 6, then t is the greatest, but if q = 1, r = −5, s = −2, and t = −4, then q is the greatest; NOT sufficient.
Taking (1) and (2) together, it is still not possible to determine which of q, r, s, and t is greatest because the examples used to show that (2) is not sufficient satisfy (1) also.
The correct answer is E;both statements together are still not sufficient.
Determine which of the numbers q, r, s, and t is the greatest.
Given that
, then s is halfway between q and r and q ≤ s ≤ r or r ≤ s ≤ q. So it is possible that q is the greatest, it is possible that r is the greatest, and it is possible that t is the greatest since no information is given about t; NOT sufficient.
Given that t = q + r, it is not possible to determine which of q, r, s, and t is greatest. For example, if q = 1, r = 5, s = 3, and t = 6, then t is the greatest, but if q = 1, r = −5, s = −2, and t = −4, then q is the greatest; NOT sufficient.Taking (1) and (2) together, it is still not possible to determine which of q, r, s, and t is greatest because the examples used to show that (2) is not sufficient satisfy (1) also.
The correct answer is E;both statements together are still not sufficient.
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