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# If n = 15*28*26, which of the following is NOT an integer?

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Math Expert
Joined: 02 Sep 2009
Posts: 59588
If n = 15*28*26, which of the following is NOT an integer?  [#permalink]

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07 Mar 2019, 00:09
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5% (low)

Question Stats:

79% (00:50) correct 21% (01:22) wrong based on 57 sessions

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If n = 15*28*26, which of the following is NOT an integer?

A. $$\frac{n}{15}$$

B. $$\frac{n}{21}$$

C. $$\frac{n}{32}$$

D. $$\frac{n}{35}$$

E. $$\frac{n}{39}$$

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Re: If n = 15*28*26, which of the following is NOT an integer?  [#permalink]

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07 Mar 2019, 01:48
1
Bunuel wrote:
If n = 15*28*26, which of the following is NOT an integer?

A. $$\frac{n}{15}$$

B. $$\frac{n}{21}$$

C. $$\frac{n}{32}$$

D. $$\frac{n}{35}$$

E. $$\frac{n}{39}$$

Option A) n/15 =15*28*26/15= 28*26.

Option B) n/21 = 3*5 * 4*7 *26 / 21 = 5*4*26

Option C) 3*5*4*7*13*2 /32 . We don't have 32 in the numerator. This is our answer choice.

Option D) n/35 = 3*5*4*7*13*2 / 35. = 3*4*13*2.

Option E) n/39 = 3*5*4*7*13*2 / 39. 5*4*7*2.

Re: If n = 15*28*26, which of the following is NOT an integer?   [#permalink] 07 Mar 2019, 01:48
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