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27 Apr 2020, 03:34
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (02:53) correct
33%
(03:02)
wrong
based on 170
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In class of 280 students, each student needs to choose between the three extra subject (i.e IT, Hindi and Sanskrit) offered along with the course. The students that choose each of these subjects are 160, 130, 110. The number of students who choose more than one of the three is 40% more than the number of students who choose all the three subjects If there are no students who choose none of the 3 subjects, how many students study all the three subjects?
A. 40
B. 50
C. 60
D. 80
E. 100
Are You Up For the Challenge: 700 Level Questions
A. 40
B. 50
C. 60
D. 80
E. 100
Are You Up For the Challenge: 700 Level Questions
Updated on: 02 Jun 2024, 03:52
Originally posted by GMATinsight on 27 Apr 2020, 04:55.
Last edited by Bunuel on 02 Jun 2024, 03:52, edited 3 times in total.
Last edited by Bunuel on 02 Jun 2024, 03:52, edited 3 times in total.
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Bunuel
Students who choose all = x
Students who choose more than 1 subject = 1.4x
ie. Students who choose exactly 2 subjects = 1.4x - x = 0.4x
Total Students = 280 = 160+130+110 - 0.4x - 2*x
i.e. 2.4x = 120
i.e. x = 50
Answer: Option B
General Discussion
Bunuel
\(160+ 130+110 - 0.4x - 2x = 280\)
\(400- 2.4x = 280\)
\(2.4x = 120\)
--> \(x = \frac{120}{2.4}=\frac{1200}{24}= 50 \)
Answer (B).
