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In a certain business school class, p students are accounting majors,

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In a certain business school class, p students are accounting majors, [#permalink]

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New post 22 Feb 2016, 04:26
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In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1,155, and if 1< p < q < r < s, how many students in the class are accounting majors?

A. 3
B. 5
C. 8
D. 11
E. 17


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[Reveal] Spoiler: OA

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Re: In a certain business school class, p students are accounting majors, [#permalink]

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New post 22 Feb 2016, 05:25
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Prime factorization of the product
pqrs = 1155
= 3* 5 *7 * 11
Since 1< p < q < r < s
Number of students who are accounting majors , p = 3

Answer A
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Re: In a certain business school class, p students are accounting majors, [#permalink]

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New post 22 Feb 2016, 15:43
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Re: In a certain business school class, p students are accounting majors, [#permalink]

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Bunuel wrote:
In a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. If pqrs = 1,155, and if 1< p < q < r < s, how many students in the class are accounting majors?

A. 3
B. 5
C. 8
D. 11
E. 17


Kudos for correct solution.


We are given that pqrs = 1,155, and if 1< p < q < r < s
Sinc we have to find the value of p, we need to factorize 1155

on factorizing, we get pqrs = 1155 = 3*5*7*11
Since all the numbers are prime, we can easily assign values to each variable.
Therefore p = 3
Option A
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Re: In a certain business school class, p students are accounting majors, [#permalink]

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Re: In a certain business school class, p students are accounting majors,   [#permalink] 17 Sep 2017, 05:56
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