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Is x a multiple of 72?

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Director
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Is x a multiple of 72?  [#permalink]

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New post 30 Oct 2018, 14:23
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C
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Difficulty:

  45% (medium)

Question Stats:

66% (01:13) correct 34% (01:27) wrong based on 31 sessions

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Is x a multiple of 72?

(1) x is a multiple of 16.
(2) x is divisible by 18.

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Is x a multiple of 72?  [#permalink]

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New post 30 Oct 2018, 17:03
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I think the answer is C.

Explanation:

Statement 1: Not every multiple of 16 is a multiple of 72. Ex: 80 is a multiple of 16 however not a multiple of 72. However, 144 is also a mutiple of 16 and is a multiple of 72. Not sufficient.

Statement 2: Similar to above reason. For ex: 90 is divisible by 18 but not a multiple of 72. Not Sufficient

Statement 1&2: The only values of x satisfying both statements are 144, 288 etc. which are a multiple of 16 and also divisible by 18. Hence, these values are also multiples of 72.



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Is x a multiple of 72? &nbs [#permalink] 30 Oct 2018, 17:03
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