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In a certain business school class, p students are

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by Gmat_mission » Sun Jun 30, 2019 8:51 am

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B

C

D

E

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Difficulty—

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

[spoiler]OA=A[/spoiler]

Source: Veritas Prep
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by Scott@TargetTestPrep » Sat Jul 06, 2019 4:53 pm
Gmat_mission 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

[spoiler]OA=A[/spoiler]

Source: Veritas Prep
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.

Answer: A

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