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# When the number of people in an office is divided by 12, the

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When the number of people in an office is divided by 12, the [#permalink]  27 Oct 2016, 12:51
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When the number of people in an office is divided by 12, the remainder is 0. If $$\frac{3}{2}$$ times the number of people in the office is divided by 12, and the remainder resulting from this operation is greater than 0, the remainder must be

A. 1
B. 2
C. 3
D. 5
E. 6

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Kudos [?]: 1474 [0], given: 345

Re: When the number of people in an office is divided by 12, the [#permalink]  27 Oct 2016, 12:53
Expert's post
Explanation

Plug in 12 for the number of people in the office, because the remainder is 0 when 12 is divided by 12. Because $$\frac{3}{2}*12$$ is 18, and the remainder when 18 is divided by 12 is 6, choice E must be correct.
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Re: When the number of people in an office is divided by 12, the [#permalink]  04 Jan 2018, 06:24
But what about when the number in the class is 24? Then the remainder is 3
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Re: When the number of people in an office is divided by 12, the [#permalink]  04 Jan 2018, 07:07
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MKrugz wrote:
But what about when the number in the class is 24? Then the remainder is 3

This is a Princeton question. They mentioned a corner case in the question that remainder must be greater than 0.
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Re: When the number of people in an office is divided by 12, the [#permalink]  06 Jan 2018, 04:05
Ahhh I found my mistake... Thanks
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Re: When the number of people in an office is divided by 12, the [#permalink]  16 Jan 2018, 23:57
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The number could be any multiple of 12 right? Like 24, 36? Why have we considered only 12? The remainder could keep changing.
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Re: When the number of people in an office is divided by 12, the [#permalink]  22 Jan 2018, 07:08
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that no could also be any multiple of 12 we cant consider 24 since if v consider it remainder will be zero which ig given in question that it should not be 0
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Re: When the number of people in an office is divided by 12, the [#permalink]  23 Jan 2018, 09:32
Remainder is 1. If we try with the value of 12. As for others, for instance 120,24,240 provides with remainder as 0
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Re: When the number of people in an office is divided by 12, the [#permalink]  25 Jan 2018, 05:28
nancyjose wrote:
The number could be any multiple of 12 right? Like 24, 36? Why have we considered only 12? The remainder could keep changing.

No, because the divisor will always be 12 and the number will always be 3/2 * ANY multiple of 12.
The second part of the equation will therefore not change, no matter what multiple of 12 you plug in.

Hope this kind of helps

EDIT: you may better understand this if you realize that the remainder MUST be a positive number (in this case it'll either be 6 or 0)
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Re: When the number of people in an office is divided by 12, the [#permalink]  03 Feb 2018, 04:02
Thank you.
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Re: When the number of people in an office is divided by 12, the [#permalink]  12 Mar 2018, 01:35
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Re: When the number of people in an office is divided by 12, the [#permalink]  12 Mar 2018, 12:00
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Push the reveal button under the question itself.

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Re: When the number of people in an office is divided by 12, the [#permalink]  13 Mar 2018, 23:36
You can't pick 24 for the first case (24/12 --> remainder = 0) it works but not for the second case (1.5*12 = 36 but the remainder is not greater than zero).

MKrugz wrote:
But what about when the number in the class is 24? Then the remainder is 3
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Re: When the number of people in an office is divided by 12, the [#permalink]  24 Apr 2018, 09:13
sandy wrote:
Explanation

Plug in 12 for the number of people in the office, because the remainder is 0 when 12 is divided by 12. Because $$\frac{3}{2}*12$$ is 18, and the remainder when 18 is divided by 12 is 6, choice E must be correct.

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Re: When the number of people in an office is divided by 12, the [#permalink]  02 May 2018, 09:45
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sandy wrote:
When the number of people in an office is divided by 12, the remainder is 0. If $$\frac{3}{2}$$ times the number of people in the office is divided by 12, and the remainder resulting from this operation is greater than 0, the remainder must be

A. 1
B. 2
C. 3
D. 5
E. 6

Because division by 12 yields a remainder of 0, we see that the number of people in the office is a multiple of 12. We can multiply a few multiples of 12 by 3/2, and we have:

12 x 3/2 = 18 ---> 18/12 = 1 R 6

24 x 3/2 = 36 ---> 36/12 = 3 R 0

36 x 3/2 = 54 ---> 54/12 = 4 R 6

48 x 3/2 = 72 ---> 72/12 = 6 R 0

We see that when we divide those results by 12, we get a remainder of either 0 or 6. So, the only possible remainder that is greater than 0 is 6.

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Re: When the number of people in an office is divided by 12, the [#permalink]  02 May 2018, 21:29
JeffTargetTestPrep wrote:
sandy wrote:
When the number of people in an office is divided by 12, the remainder is 0. If $$\frac{3}{2}$$ times the number of people in the office is divided by 12, and the remainder resulting from this operation is greater than 0, the remainder must be

A. 1
B. 2
C. 3
D. 5
E. 6

Because division by 12 yields a remainder of 0, we see that the number of people in the office is a multiple of 12. We can multiply a few multiples of 12 by 3/2, and we have:

12 x 3/2 = 18 ---> 18/12 = 1 R 6

24 x 3/2 = 36 ---> 36/12 = 3 R 0

36 x 3/2 = 54 ---> 54/12 = 4 R 6

48 x 3/2 = 72 ---> 72/12 = 6 R 0

We see that when we divide those results by 12, we get a remainder of either 0 or 6. So, the only possible remainder that is greater than 0 is 6.

Thanks a lot mate
Re: When the number of people in an office is divided by 12, the   [#permalink] 02 May 2018, 21:29
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