number of cans

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vishalwin: Master | Next Rank: 500 Posts; Posts: 274; Joined: Fri Sep 18, 2015 10:58 pmFollowed by: 1 member; Thanked: 12 times; GMAT Score:530

by vishalwin » Wed Nov 25, 2015 5:38 am

What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,100 cubic inches.
(2) The exterior of each can is 5 inches high and has a diameter of 3 inches.

In this question we need to need the dimensions of box part from the dimensions of can to determine the number of cans. Am I right?

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vishalwin
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Source: Beat The GMAT — Data Sufficiency | Wed Nov 25, 2015 5:38 am

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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 » Wed Nov 25, 2015 7:14 am

vishalwin wrote:What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,100 cubic inches.
(2) The exterior of each can is 5 inches high and has a diameter of 3 inches.

In this question we need to need the dimensions of box part from the dimensions of can to determine the number of cans. Am I right?

Hi vishalwin,

You are correct.
Let's go straight to....

Target question: What is the number of cans that can be packed in a certain carton?

Statements 1 and 2 combined
Consider these two conflicting cases (that satisfy both statements):
Case a: the dimensions of the box are numbers are 1 x 10 x 210 (inches), in which case ZERO cans can fit inside the carton
Case b: the dimensions of the box are numbers are 10 x 10 x 21 (inches), in which case MORE THAN ZERO cans can fit inside the carton

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer = E

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Matt@VeritasPrep: GMAT Instructor; Posts: 2630; Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members; Location: East Bay all the way; Thanked: 625 times; GMAT Score:780

by Matt@VeritasPrep » Fri Nov 27, 2015 1:12 am

The upshot of the question, as I see it, is that the carton can look as strange as you want it to, since you aren't told anything about it's dimensions. So it could be a 1x1x2100 carton that no carrier would ever deliver, and none of the cans could find!

Trying extreme (= valid, though silly) values in DS is a great method, in my experience: it leads you to insufficiency pretty quickly where insufficiency exists.

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