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32%
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In an engineering class that contained 50 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
A. 4
B. 6
C. 10
D. 12
E. 24
A. 4
B. 6
C. 10
D. 12
E. 24
12 Dec 2024, 03:08
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Total 50 students. 3/5 of 50 is 30 who answered correctly the first one. 4/5 of the remaining 20 is 16 answered the second one correctly. Implies 46 of them have answered at least one of the two correctly. Implies 4 did not answer the questions correctly.
17 Dec 2024, 01:05
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In an engineering class that contained 50 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
A. 4
B. 6
C. 10
D. 12
E. 24
First Q answered correctly = 50*3/5 = 30
Remainder students = 50-30=20 these have not answered 1st Q correctly.
Out of these remainder,
Second Q ans correctly = 4/5*20 = 16
Second ans incorrect = 1/5*20 = 4
Now 4 students are part of the remainder grp who have answered neither 1st question correctly and also comprise those who have answered the second incorrect. Hence A.
Another approach:
Q1 answered correctly 30
Q2 answered correctly 16 [This 16 is from the 20 people who have not cleared Q1, hence no overlap with the same people]
Total People answering atleast Q 1 or 2 correctly is 46.
Q1 correct + Q2 correct - Both Q1 and Q2 correct + Neither Q1 and Q2 correct = 50
30 + 16 - 0 + 4 = 50
A. 4
B. 6
C. 10
D. 12
E. 24
First Q answered correctly = 50*3/5 = 30
Remainder students = 50-30=20 these have not answered 1st Q correctly.
Out of these remainder,
Second Q ans correctly = 4/5*20 = 16
Second ans incorrect = 1/5*20 = 4
Now 4 students are part of the remainder grp who have answered neither 1st question correctly and also comprise those who have answered the second incorrect. Hence A.
Another approach:
Q1 answered correctly 30
Q2 answered correctly 16 [This 16 is from the 20 people who have not cleared Q1, hence no overlap with the same people]
Total People answering atleast Q 1 or 2 correctly is 46.
Q1 correct + Q2 correct - Both Q1 and Q2 correct + Neither Q1 and Q2 correct = 50
30 + 16 - 0 + 4 = 50
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