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

This topic has expert replies
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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

[spoiler]OA=A[/spoiler]

Source: Princeton Review
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Vincen wrote:
Mon May 18, 2020 6:08 am
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

[spoiler]OA=A[/spoiler]

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
Image