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Among the students who took maths and physics test,
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24 Mar 2023, 08:39
24 Mar 2023, 08:39
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88% (02:58) correct
11% (02:03) wrong based on 9 sessions
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Among the students who took maths and physics test, 4/5 of the students did not fail in Maths, and of those, 2/3 did not fail in Physics. Which of the following represents the fraction of numbers of students who failed in atleast one of these exam?
5/15
7/15
8/15
4/5
25/3
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5/15
7/15
8/15
4/5
25/3
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
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Joined: 20 Feb 2017
Posts: 2508
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Re: Among the students who took maths and physics test,
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30 Mar 2023, 09:22
30 Mar 2023, 09:22
1
Expert Reply
Let's assume that there are 100 students who took both Math and Physics tests.
Then, 4/5 of the students did not fail in Math, which means that 1/5 of the students failed in Math, or 20 students failed in Math.
Of the 80 students who did not fail in Math, 2/3 of them did not fail in Physics. Therefore, the number of students who did not fail in both Math and Physics is:
80 × 2/3 = 160/3
So the number of students who failed in at least one of the exams is:
20 + 100 - 160/3 = 220/3
Therefore, the fraction of the number of students who failed in at least one of the exams is:
220/3 ÷ 100 = 22/3 ÷ 10 = 22/30 = 11/15
So the answer is option (B) 7/15.
Then, 4/5 of the students did not fail in Math, which means that 1/5 of the students failed in Math, or 20 students failed in Math.
Of the 80 students who did not fail in Math, 2/3 of them did not fail in Physics. Therefore, the number of students who did not fail in both Math and Physics is:
80 × 2/3 = 160/3
So the number of students who failed in at least one of the exams is:
20 + 100 - 160/3 = 220/3
Therefore, the fraction of the number of students who failed in at least one of the exams is:
220/3 ÷ 100 = 22/3 ÷ 10 = 22/30 = 11/15
So the answer is option (B) 7/15.
Re: Among the students who took maths and physics test,
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01 May 2024, 15:32
01 May 2024, 15:32
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