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

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BTGmoderatorLU: Moderator; Posts: 2544; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

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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Source: Beat The GMAT — Problem Solving | Thu Aug 16, 2018 3:28 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

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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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

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]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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