BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

The table above shows the responses of 100 consumers to a

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 2505
Joined: Sun Oct 15, 2017 1:50 pm
Followed by:6 members

The table above shows the responses of 100 consumers to a

by BTGmoderatorLU » Sat Nov 23, 2019 3:30 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Source: Princeton Review

Image

The table above shows the responses of 100 consumers to a taste test involving two colas. Each of the 100 consumers responded "Above Average," "Average," or "Below Average" when asked their opinion regarding the taste of Cola A and the taste of Cola B. How many of the 100 people in the poll responded Below Average for both colas?

1) Fifteen consumers responded "Above Average" for both colas.
2) Forty consumers did not respond "Below Average" for either cola.

The OA is B
Top
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3008
Joined: Mon Aug 22, 2016 6:19 am
Location: Grand Central / New York
Thanked: 470 times
Followed by:34 members

by Jay@ManhattanReview » Fri Nov 29, 2019 12:00 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGmoderatorLU wrote:Source: Princeton Review

Image

The table above shows the responses of 100 consumers to a taste test involving two colas. Each of the 100 consumers responded "Above Average," "Average," or "Below Average" when asked their opinion regarding the taste of Cola A and the taste of Cola B. How many of the 100 people in the poll responded Below Average for both colas?

1) Fifteen consumers responded "Above Average" for both colas.
2) Forty consumers did not respond "Below Average" for either cola.

The OA is B
Let's take each statement one by one.

1) Fifteen consumers responded "Above Average" for both colas.

This is not going to help. From this information, we can get to know how many consumers responded "Above Average" for either cola, which is equal to 20 + 40 - 15 = 45. However, we cannot know how many of the 100 people in the poll responded Below Average for both colas. Insufficient.

2) Forty consumers did not respond "Below Average" for either cola.

=> 60 consumers responded "Below Average" for either cola.

Thus, no. of consumers who responded "Below Average" for both colas = 35 + 30 - 60 = 5. Sufficient.

The correct answer: B

Hope this helps!

-Jay
_________________
Manhattan Review GRE Prep

Locations: GRE Classes Seattle | GMAT Prep Course Hong Kong | GRE Prep San Francisco | SAT Prep Classes NYC | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
Top

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

Re: The table above shows the responses of 100 consumers to a

by Brent@GMATPrepNow » Mon Jul 05, 2021 5:15 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGmoderatorLU wrote: ↑
Sat Nov 23, 2019 3:30 am
 Source: Princeton Review

Image

The table above shows the responses of 100 consumers to a taste test involving two colas. Each of the 100 consumers responded "Above Average," "Average," or "Below Average" when asked their opinion regarding the taste of Cola A and the taste of Cola B. How many of the 100 people in the poll responded Below Average for both colas?

1) Fifteen consumers responded "Above Average" for both colas.
2) Forty consumers did not respond "Below Average" for either cola.

The OA is B
Let's solve this question using the Double Matrix method. This technique can be used for questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).
For this particular question, we only care about the people who responded Below Average for both colas
So, we can combine the people who responded average and above-average to get the following:
Image
I have placed that star in the box representing the people who responded Below Average for both colas.

Target question: What is the value in the top left box (denoted by a star)?


Statement 1: Fifteen consumers responded "Above Average" for both colas.
This information belongs in the bottom right box of the double matrix.
Image
However, since we have combined the people who responded average and above-average, we still don't know how many people responded "Average"
As such, we don't have enough information to determine the value in the bottom right box, which means there's no way to complete the rest of the matrix.
Statement 1 is NOT SUFFICIENT

Statement 2: Forty consumers did not respond "Below Average" for either cola.
We can add this information to our matrix to get:
Image

We now have enough information to complete the matrix:
Image

So, the answer to the target question is 5 people responded Below Average for both colas
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

This question type is VERY COMMON on the GMAT, so be sure to master the technique.

To learn more about the Double Matrix Method, watch this video: https://www.gmatprepnow.com/module/gmat- ... ems?id=919

Once you’re familiar with this technique, you can attempt these additional practice questions:

Easy Problem Solving questions
- https://www.beatthegmat.com/finance-majo ... 67425.html

Medium Problem Solving questions
- https://www.gmatprepnow.com/module/gmat- ... /video/920
- https://www.beatthegmat.com/posted-speed ... 72374.html
- https://www.beatthegmat.com/motel-t271938.html
- https://www.beatthegmat.com/of-the-appli ... 70255.html
- https://www.beatthegmat.com/opening-nigh ... 64869.html
- https://www.beatthegmat.com/at-least-100 ... 74669.html
- https://www.beatthegmat.com/prblem-solving-t279424.html

Difficult Problem Solving questions
- https://www.gmatprepnow.com/module/gmat- ... /video/946
- https://www.beatthegmat.com/ratio-problem-t268339.html
- https://www.beatthegmat.com/overlapping- ... 65223.html
- https://www.beatthegmat.com/fractions-t264254.html
- https://www.beatthegmat.com/overlapping- ... 64092.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-2

Easy Data Sufficiency questions
- https://www.gmatprepnow.com/module/gmat- ... /video/943
- https://www.beatthegmat.com/for-what-per ... 70596.html
- https://www.beatthegmat.com/ds-quest-t187706.html

Medium Data Sufficiency questions
- https://www.beatthegmat.com/sets-matrix-ds-t271914.html
- https://www.beatthegmat.com/each-of-peop ... 71375.html
- https://www.beatthegmat.com/a-manufacturer-t270331.html
- https://www.beatthegmat.com/in-costume-f ... 69355.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-1

Difficult Data Sufficiency questions
- https://youtu.be/dsCeqF9Kbk8
- https://www.beatthegmat.com/double-set-m ... 71423.html
- https://youtu.be/dOZ9KM1m5Hs
- https://www.beatthegmat.com/sets-t269449.html
- https://www.beatthegmat.com/mba/2011/05/ ... question-3

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Post new topic Post Reply
• Page 1 of 1