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# Which of the following is NOT divisible by the product of 5, 6, and 8

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Math Expert
Joined: 02 Sep 2009
Posts: 64240
Which of the following is NOT divisible by the product of 5, 6, and 8  [#permalink]

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05 Nov 2018, 23:21
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:03) correct 28% (01:35) wrong based on 62 sessions

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Which of the following is NOT divisible by the product of 5, 6, and 8 ?

A. 2^4 × 3 × 5
B. 2^3 × 3^2 × 5
C. 2^5 × 3 × 5
D. 2^4 × 3^3 × 5 × 7
E. 2^5 × 3^2 × 5 × 11

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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
GPA: 3.68
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Re: Which of the following is NOT divisible by the product of 5, 6, and 8  [#permalink]

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06 Nov 2018, 00:08
1
Bunuel wrote:
Which of the following is NOT divisible by the product of 5, 6, and 8 ?

A. 2^4 × 3 × 5
B. 2^3 × 3^2 × 5
C. 2^5 × 3 × 5
D. 2^4 × 3^3 × 5 × 7
E. 2^5 × 3^2 × 5 × 11

5*6*8 = 5*3*2*2*2*2 = 2^4 * 5 * 3

2^4 is the key here. Check it out.

All the option contains 2 , 3 , 5 .............but power of 2 varies.

Option B .
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Re: Which of the following is NOT divisible by the product of 5, 6, and 8  [#permalink]

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26 Nov 2018, 10:58
5,6,8 has -> one 5
one 3 and four 2

so the no divisible by multiple of 5,6,8 must have min of the above requirements.
B has one 2 less
Re: Which of the following is NOT divisible by the product of 5, 6, and 8   [#permalink] 26 Nov 2018, 10:58