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M23-28

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Bunuel
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M23-28 [#permalink] New post   16 Sep 2014, 01:19
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84% (00:45) correct 16% (00:49) wrong based on 94 sessions
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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
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C
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Bunuel
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Re M23-28 [#permalink] New post   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
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RenanBragion
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Re: M23-28 [#permalink] New post   11 Jun 2020, 15:27
I think this is a high-quality question and I agree with explanation.
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Aparna05
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Re: M23-28 [#permalink] New post   24 Aug 2021, 09:10
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Are all elements of set S smaller than 40 ? This is DS question and its answer is either Yes or No.

Statement 1 states The smallest element of Set S is -1.This tells us nothing about other elements present in the Set. It is clearly insufficient.

Statement 2 states The range of Set S is 41. Range is defined as the difference between Largest and smallest term of the set. SO this does not provide us any information about the actual terms of the set.

If we combine statement 1 and 2 then, In Set S

Largest Term - Smallest Term = 41

Largest Term -(-1)=41

Hence largest term = 40
Hence the answer to our questions whether all elements of set S are smaller than 40 is No.

Hence C is the correct Option.
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Bunuel
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Re: M23-28 [#permalink] New post   25 Apr 2023, 13:13
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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Re: M23-28 [#permalink]
25 Apr 2023, 13:13
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