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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?
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.
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Bunuel
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?
Originally posted by lacktutor on 27 Apr 2020, 04:57.
Last edited by Bunuel on 02 Jun 2024, 03:52, edited 3 times in total.
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Bunuel
In class of 260 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?
In class of 260 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?
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?
Given: 1. 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. 2. The students that choose each of these subjects are 160, 130, 110. 3. 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
Asked: If there are no students who choose none of the 3 subjects, how many students study all the three subjects?
Attachment:
Screenshot 2020-04-27 at 9.54.05 PM.png [ 47.76 KiB | Viewed 11345 times ]
1. 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. 2. The students that choose each of these subjects are 160, 130, 110. 4. There are no students who choose none of the 3 subjects. 160 + 130 -A - x+ 110 - B-C-x = 280 400 - (A+B+C) - 2x = 280 (A+B+C) + 2x = 120 (1)
3. 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 A + B + C + x = 140%x = 1.4x A + B + C = .4x (2)
Putting value of A+B+C from (2) in (1) 2.4x = 120 ; x = 50
Number of students study all the three subjects = x = 50
I made a blunder. I considered more than one, but only exactly 2. Such a kind of mistakes are non-negotiable.
Bunuel
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?