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

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by Vincen » Wed Jul 21, 2021 12:23 pm

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Answers

A

B

C

D

E

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Difficulty—

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

(1) The interior volume of this carton is 2,304 cubic inches.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches.

Answer: E

Source: Official Guide
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Source: — Data Sufficiency |

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

by Brent@GMATPrepNow » Thu Jul 22, 2021 5:35 am
Vincen wrote: ↑
Wed Jul 21, 2021 12:23 pm
 What is the number of cans that can be packed in a certain carton?

(1) The interior volume of this carton is 2,304 cubic inches.
(2) The exterior of each can is 6 inches high and has a diameter of 4 inches.

Answer: E

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

Let's head straight to.....

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 1 x 2304 (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 23.04 (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

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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