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Bob purchased 18 cans of soda, some of which contained diet soda. How many of the cans did not contain diet soda?

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Bob purchased 18 cans of soda, some of which contained diet soda. How many of the cans did not contain diet soda?

by BTGModeratorVI » Thu Dec 03, 2020 2:55 pm

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Bob purchased 18 cans of soda, some of which contained diet soda. How many of the cans did not contain diet soda?

(1) Of the cans Bob purchased, the number containing diet soda is equal to the number not containing diet soda.
(2) Of the cans Bob purchased, the number containing diet soda is odd

Answer: A
Source: Princeton Review
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Source: — Data Sufficiency |

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Re: Bob purchased 18 cans of soda, some of which contained diet soda. How many of the cans did not contain diet soda?

by Brent@GMATPrepNow » Sun Dec 06, 2020 2:31 pm

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BTGModeratorVI wrote: ↑
Thu Dec 03, 2020 2:55 pm
 Bob purchased 18 cans of soda, some of which contained diet soda. How many of the cans did not contain diet soda?

(1) Of the cans Bob purchased, the number containing diet soda is equal to the number not containing diet soda.
(2) Of the cans Bob purchased, the number containing diet soda is odd

Answer: A
Source: Princeton Review
Target question: How many of the cans did NOT contain diet soda?

Given: Bob purchased 18 cans of soda

Statement 1: Of the cans Bob purchased, the number containing diet soda is equal to the number not containing diet soda.
So, of the 18 cans of soda, 9 cans contained diet soda, and 9 cans did NOT contain diet soda
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: Of the cans Bob purchased, the number containing diet soda is odd
There are several scenarios that satisfy statement 2. Here are two:
Case a: Bob purchased 3 (odd) cans containing diet soda and 15 cans NOT containing diet soda.
Case b: Bob purchased 5 (odd) cans containing diet soda and 13 cans NOT containing diet soda.
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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