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# M24-09

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Math Expert
Joined: 02 Sep 2009
Posts: 52317

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16 Sep 2014, 00:20
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Difficulty:

5% (low)

Question Stats:

89% (00:40) correct 11% (00:41) wrong based on 141 sessions

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Set S comprises all prime integers less than 1000. What is the range of set S ?

A. 982
B. 988
C. 992
D. 995
E. 997

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Joined: 02 Sep 2009
Posts: 52317

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16 Sep 2014, 00:20
Official Solution:

Set S comprises all prime integers less than 1000. What is the range of set S ?

A. 982
B. 988
C. 992
D. 995
E. 997

The smallest element of the set is 2. The largest element of the set is 2 + range. Choices A, B, and C are out because the maximum element of the set must be odd. Choice E is out because $$2 + 997 = 999$$ is not prime.

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28 Oct 2015, 21:43
1
The range of a set of data is the difference between the highest and lowest values in the set.
So shouldn't the answer be 997 - 2 = 995
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28 Oct 2015, 23:50
rhio wrote:
The range of a set of data is the difference between the highest and lowest values in the set.
So shouldn't the answer be 997 - 2 = 995

The correct answer is D, which is 995.
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28 Oct 2015, 23:55
Oh okay, I mistook bolded 997 as the answer
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18 Apr 2018, 07:55
+1 for option D. Keep in mind that the prime numbers that comprise the range are 2 and 997. The range in that case becomes 997-2 = 995.
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Re: M24-09 &nbs [#permalink] 18 Apr 2018, 07:55
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# M24-09

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