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In a group of 80 students, each person is either a freshman, a baseball player, or both.

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In a group of 80 students, each person is either a freshman, a baseball player, or both.

by Brent@GMATPrepNow » Sun Oct 24, 2021 10:21 am

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In a group of 80 students, each person is either a freshman, a baseball player, or both. If 25 students are not freshmen, and 38 students are not baseball players, how many students are baseball players who are not freshmen?

A) 13
B) 17
C) 25
D) 29
E) 38

Answer: C
Source: www.gmatprepnow.com
Brent Hanneson - Creator of GMATPrepNow.com
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Source: — Problem Solving |

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: In a group of 80 students, each person is either a freshman, a baseball player, or both.

by Brent@GMATPrepNow » Mon Oct 25, 2021 6:16 am
Brent@GMATPrepNow wrote: ↑
Sun Oct 24, 2021 10:21 am
 In a group of 80 students, each person is either a freshman, a baseball player, or both. If 25 students are not freshmen, and 38 students are not baseball players, how many students are baseball players who are not freshmen?

A) 13
B) 17
C) 25
D) 29
E) 38

Answer: C
Source: www.gmatprepnow.com
I created this question to serve as a fool me once question, since I find that some students don't spot the hidden clue in the words "or both"
If every student is either a freshman, a baseball player, OR BOTH, then this means there are ZERO students who are neither freshman nor baseball players.

So, if you're applying the overlapping sets formula Group 1 + Group 2 - Both + Neither = Total, then you now know that NEITHER = 0

Alternatively, if you're using the Double Matrix approach, you can now add a zero to the bottom-right box to get this ...
Image

And, from here the remaining boxes are easy to complete...
Image
.... We can see the correct answer is C

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
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