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

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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]
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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

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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]
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

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To solve the problem, we need to find 4 distinct positive integers, each greater than 1, such that their product is 1,155. Therefore, we need to factor 1,155:

1,155 = 11 x 105 = 11 x 3 x 5 x 7

Since the number of students in the accounting class is p and p is the smallest of the 4 integers, p must be 3.