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If a is an integer larger than 1, and x=60a, then x must be a multiple

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Bunuel
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If a is an integer larger than 1, and x=60a, then x must be a multiple [#permalink] If a is an integer larger than 1, and x=60a, then x must be a multiple   14 May 2021, 07:15
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If a is an integer larger than 1, and x=60a, then x must be a multiple of which of the following?

A. 8
B. 9
C. 12
D. 18
E. 120
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C
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Re: If a is an integer larger than 1, and x=60a, then x must be a multiple [#permalink] If a is an integer larger than 1, and x=60a, then x must be a multiple   14 May 2021, 07:22
60a
let a be any prime number assume 7 (since 7 multiple is not in any of the options)
thus x = 60*7 (hyp)
4*3*5 * prime number not in the multiples
looking at the options
12 is definitely in the multiples
thus C IMO
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Re: If a is an integer larger than 1, and x=60a, then x must be a multiple [#permalink] If a is an integer larger than 1, and x=60a, then x must be a multiple   14 May 2021, 07:27
As we are multiplying a by 60, any factor of 60, will be a factor of x. Looking at the answer choices, only 12 is a factor of 60.

Answer C
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Re: If a is an integer larger than 1, and x=60a, then x must be a multiple [#permalink] If a is an integer larger than 1, and x=60a, then x must be a multiple   14 May 2021, 07:42
Bunuel wrote:
If a is an integer larger than 1, and x=60a, then x must be a multiple of which of the following?

A. 8
B. 9
C. 12
D. 18
E. 120


X = 12*5*a
X will definitely be a multiple of 12. (C)

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Re: If a is an integer larger than 1, and x=60a, then x must be a multiple [#permalink]
14 May 2021, 07:42
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Bunuel
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