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In a class 3/4th of the students had not prepared for the test. Of the 03 Jun 2020, 23:26
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E
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65% (hard)

Question Stats:

63% (02:13) correct 37% (02:18) wrong based on 149 sessions

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In a class 3/4th of the students had not prepared for the test. Of the students who had prepared for the test, 2/3rd passed the test. If only 25 percent of the class passed the test, what fraction of the students who had not prepared for the test, failed the test?

A. 1/12
B. 1/9
C. 1/2
D. 2/3
E. 8/9
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E
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In a class 3/4th of the students had not prepared for the test. Of the 04 Jun 2020, 01:10
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Bunuel
In a class 3/4th of the students had not prepared for the test. Of the students who had prepared for the test, 2/3rd passed the test. If only 25 percent of the class passed the test, what fraction of the students who had not prepared for the test, failed the test?

A. 1/12
B. 1/9
C. 1/2
D. 2/3
E. 8/9

Solution


    • Let us assume that the total 12 students are there in the class.

    • So, fraction of the students who hadn't prepared for the test and failed \(= \frac{8}{9}\)
Thus, the correct answer is Option E.
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In a class 3/4th of the students had not prepared for the test. Of the 04 Jun 2020, 06:48
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IMO E

Ley y = did not prepare and passed

from the figure: x/6 + y = x/4
y = x/12

Not Prepared and not passed =3x/4 - x/12 =2x/3 = 8/9 (3x/4)
= (8/9)th of students who did not prepared
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In a class 3/4th of the students had not prepared for the test. Of the 08 Jun 2020, 13:49
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Bunuel
In a class 3/4th of the students had not prepared for the test. Of the students who had prepared for the test, 2/3rd passed the test. If only 25 percent of the class passed the test, what fraction of the students who had not prepared for the test, failed the test?

A. 1/12
B. 1/9
C. 1/2
D. 2/3
E. 8/9

Solution:

If we let the number of students = 120, then 90 did not prepare for the test and 30 did. Also, of the students who prepared, 30 x 2/3 = 20 passed the test, and 1/4 x 120 = 30 total students passed the test. Thus, 30 - 20 = 10 students who passed the test actually had not prepared for it. Since 90 students did not prepare for the test, 90 - 10 = 80 of these unprepared students failed the test. Therefore, the fraction of the students who had not prepared for the test, failed the test, is 80/90 = 8/9.

Answer: E
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In a class 3/4th of the students had not prepared for the test. Of the 20 May 2025, 06:47
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