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12 Aug 2024, 01:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (02:42) correct
33%
(02:21)
wrong
based on 186
sessions
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Of the students in a certain math class, each student either is a math major or is not a math major, and each student either is a senior or is not a senior. Of these students, 60% are not math majors. Of those students who are not math majors, \(\frac{3}{5}\) are seniors. Are there more seniors who are math majors than there are seniors who are not math majors?
(1) There are 450 students in the math class.
(2) There are 340 seniors.
(1) There are 450 students in the math class.
(2) There are 340 seniors.
Updated on: 13 Aug 2024, 04:16
Originally posted by tgsankar10 on 12 Aug 2024, 23:24.
Last edited by tgsankar10 on 13 Aug 2024, 04:16, edited 1 time in total.
Last edited by tgsankar10 on 13 Aug 2024, 04:16, edited 1 time in total.
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Total Non-Math majors \(- \text{ 60%}\) of Total students
Total Senior Non-Math majors \(- \frac{3}{5} \text{ of 60% = 36%}\) of Total students
Statement 1: There are 450 students in the math class
NOT SUFFICIENT
Statement 2: There are 340 seniors
NOT SUFFICIENT
Combined:
SUFFICIENT
Answer is C
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Total Senior Non-Math majors \(- \frac{3}{5} \text{ of 60% = 36%}\) of Total students
Statement 1: There are 450 students in the math class
NOT SUFFICIENT
Statement 2: There are 340 seniors
NOT SUFFICIENT
Combined:
SUFFICIENT
Answer is C
Attachment:
GMAT-Club-Forum-6jjnu3b5.png [ 2.82 KiB | Viewed 525 times ]
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GMAT-Club-Forum-gqy7f0jr.png [ 2.97 KiB | Viewed 532 times ]
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GMAT-Club-Forum-q780hevv.png [ 3.32 KiB | Viewed 525 times ]
Attachment:
GMAT-Club-Forum-t0m4inij.png [ 3.53 KiB | Viewed 525 times ]
13 Aug 2024, 03:13
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tgsankar10
Making matrics,
Given - Of the students in a certain math class, each student either is a math major or is not a math major, and each student either is a senior or is not a senior. Of these students, 60% are not math majors. Of those students who are not math majors, \(\frac{3}{5}\) are seniors.
Lets assume class had 100x students
---------Math Major------------No Math Major ---- Total
S -------________-------------__36x___----------- 340 (2nd statement)
NS------________-------------__24x___-----------_____
Total------40x--------------------60x------------------100x
To find - Are there more seniors who are math majors than there are seniors who are not math majors? Yes/No Type question
1st - There are 450 students in the math class.
100x=450, x=4.5
No sufficient as we dont know the Senior math major count.
2nd - There are 340 seniors.
Still not sufficient.
Combining both
Now we know x=4.5 and Total Seniors = 340
36x = 4.5*36 = 162
Therefore, Senior Math Major = 340 - Senior non math major = 340 - 162 = 178
Senior Math Major > Senior Non Math Major - Yes
Sufficient. Answer is C.
Hope it helps.
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