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Are all elements of set \(S\) less than 40?
(1) The smallest element of \(S\) is -1
(2) The range of \(S\) is 41
(1) The smallest element of \(S\) is -1
(2) The range of \(S\) is 41
16 Sep 2014, 01:19
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Official Solution:
Are all elements of set \(S\) less than 40?
(1) The smallest element of \(S\) is -1. This statement is clearly insufficient.
(2) The range of \(S\) is 41. This statement is also clearly insufficient.
(1)+(2) The range represents the difference between the largest and smallest elements of a set. Given that the range is 41, we have \(41 = \{largest \ element \} - (-1)\), which results in \(\{largest \ element \} = 40\). Therefore, not all elements of set \(S\) are less than 40. Sufficient.
Answer: C
Are all elements of set \(S\) less than 40?
(1) The smallest element of \(S\) is -1. This statement is clearly insufficient.
(2) The range of \(S\) is 41. This statement is also clearly insufficient.
(1)+(2) The range represents the difference between the largest and smallest elements of a set. Given that the range is 41, we have \(41 = \{largest \ element \} - (-1)\), which results in \(\{largest \ element \} = 40\). Therefore, not all elements of set \(S\) are less than 40. Sufficient.
Answer: C
RenanBragion
11 Jun 2020, 15:27
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I think this is a high-quality question and I agree with explanation.
