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# D is the set of all the multiples of 3 between 20 and 100. E is the se

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D is the set of all the multiples of 3 between 20 and 100. E is the se  [#permalink]

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Updated on: 10 Jul 2015, 00:59
1
7
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:50) correct 20% (02:17) wrong based on 195 sessions

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D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 400. Set D and Set E have how many numbers in common?

A. 0
B. 1
C. 3
D. 5
E. 12

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Originally posted by honchos on 09 Jul 2015, 22:58.
Last edited by Bunuel on 10 Jul 2015, 00:59, edited 1 time in total.
Edited the question.
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D is the set of all the multiples of 3 between 20 and 100. E is the se  [#permalink]

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10 Jul 2015, 01:03
4
honchos wrote:
D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 400. Set D and Set E have how many numbers in common?

A. 0
B. 1
C. 3
D. 5
E. 12

D is a set of multiples of 3.
400 is NOT a multiple of 3, hence none of its factors is a multiple of 3.

Therefore, those two sets won't have any overlap.

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Re: D is the set of all the multiples of 3 between 20 and 100. E is the se  [#permalink]

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04 Dec 2017, 10:55
honchos wrote:
D is the set of all the multiples of 3 between 20 and 100. E is the set of all the factors of 400. Set D and Set E have how many numbers in common?

A. 0
B. 1
C. 3
D. 5
E. 12

We see that D = {21, 24, 27, …, 99} and E = {1, 400, 2, 200, 4, 100, 5, 80, 8, 50, 10, 40, 16, 25}.

We have listed all the elements in E; however, since none of these elements is a multiple of 3, set D and set E have no numbers in common.

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Re: D is the set of all the multiples of 3 between 20 and 100. E is the se  [#permalink]

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03 Feb 2019, 18:31
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Re: D is the set of all the multiples of 3 between 20 and 100. E is the se   [#permalink] 03 Feb 2019, 18:31
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