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# Which of the following is a multiple of all three integers 2, 3, and 5

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Senior RC Moderator
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Which of the following is a multiple of all three integers 2, 3, and 5  [#permalink]

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16 Jan 2019, 07:45
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Difficulty:

15% (low)

Question Stats:

89% (00:30) correct 11% (01:25) wrong based on 29 sessions

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Which of the following is a multiple of all three integers 2, 3, and 5?

A. 525

B. 560

C. 615

D. 620

E. 660

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Re: Which of the following is a multiple of all three integers 2, 3, and 5  [#permalink]

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16 Jan 2019, 07:56
E) 660 - because it is divisible by 2,3 and 5

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Re: Which of the following is a multiple of all three integers 2, 3, and 5  [#permalink]

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16 Jan 2019, 07:59
1
1 approach:
LCM for 2, 3, 5 is 30 search multiples of 30 in answer choices, the correct answer choice must be divisible by 3 and 10

2 approach:
At a glance we need a multiple of 5 which is even, discard A and C. The rest of choices must be divisible by 3

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Re: Which of the following is a multiple of all three integers 2, 3, and 5  [#permalink]

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21 Jan 2019, 17:59
Which of the following is a multiple of all three integers 2, 3, and 5?

A. 525

B. 560

C. 615

D. 620

E. 660

Since the LCM of 2, 3, and 5 is 30, any multiple of 30 will be also a multiple of 2, 3 and 5.

Of the answer choices, only 660 is a multiple of 30.

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Re: Which of the following is a multiple of all three integers 2, 3, and 5   [#permalink] 21 Jan 2019, 17:59
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