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A case contains c cartons. Each carton contains b boxes, and

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A case contains c cartons. Each carton contains b boxes, and

by BTGmoderatorLU » Thu Aug 16, 2018 3:28 pm

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Source: Official Guide

A case contains c cartons. Each carton contains b boxes, and each box contains 100 paper clips. How many paper clips are contained in 2 cases?

A. 100bc
B. 100b/c
C. 200bc
D. 200b/c
E. 200/bc

The OA is C.
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by Brent@GMATPrepNow » Thu Aug 16, 2018 3:37 pm
BTGmoderatorLU wrote:Source: Official Guide

A case contains c cartons. Each carton contains b boxes, and each box contains 100 paper clips. How many paper clips are contained in 2 cases?

A. 100bc
B. 100b/c
C. 200bc
D. 200b/c
E. 200/bc

The OA is C.
Let's solve this question by picking some numbers (aka using the INPUT-OUTPUT approach).

Let b = 3 and c = 5
So, a case contains 5 cartons. Each carton contains 3 boxes, and each box contains 100 paper clips.
So, the number of paper clips in 1 case = (100)(5)(3) = 1500

How many paper clips are contained in 2 cases?
The number of paper clips in 2 cases = 3000

So, we're looking for the answer choice so that when we INPUT b = 3 and c = 5, we get an OUTPUT of 3000

Now check the answer choices:
(A) 100(3)(5) = 1500 ELIMINATE
(B) 100(3)/(5) = 60 ELIMINATE
(C) 200(3)(5) = 3000 KEEP!!
(D) 200(3)/(5) = 120 ELIMINATE
(E) 200/(3)(5) = 200/15 ELIMINATE

Answer: C
Brent Hanneson - Creator of GMATPrepNow.com
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by Jeff@TargetTestPrep » Mon Aug 20, 2018 10:46 am
BTGmoderatorLU wrote:Source: Official Guide

A case contains c cartons. Each carton contains b boxes, and each box contains 100 paper clips. How many paper clips are contained in 2 cases?

A. 100bc
B. 100b/c
C. 200bc
D. 200b/c
E. 200/bc
We are given that a case contains c cartons. Each carton contains b boxes, and each box contains 100 paper clips. Thus we can say the following:

c x b x 100 = 100bc paper clips per case

Thus, 2 cases would contain 2 x 100bc = 200bc paper clips.

Answer: C

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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