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Difficulty:
35%
(medium)
Question Stats:
78% (02:02) correct
22%
(02:36)
wrong
based on 167
sessions
History
Date
Time
Result
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During a recent evaluation, X students were given a two-question test. If 1/5 of the students answered the first question correctly, and, of those students, 1/2 answered the second question correctly, which of the following expressions indicates the number of students who did NOT answer both questions correctly?
(A) x/10
(B) x/5
(C) 5x/7
(D) 9x/10
(E) 9x
(A) x/10
(B) x/5
(C) 5x/7
(D) 9x/10
(E) 9x
Correct Ans is 9x/10- supported by CASE 2 in attachment
How would the question be asked if it were ONLY the intersection of those who got both questions wrong?
See CASE 1 in attachment
Thanks to respond with any other sample questions
How would the question be asked if it were ONLY the intersection of those who got both questions wrong?
See CASE 1 in attachment
Thanks to respond with any other sample questions
Attachments
2 cases.docx [13.24 KiB]
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02 Feb 2014, 01:56
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gmatbull
During a recent evaluation, X students were given a two-question test. If 1/5 of the students answered the first question correctly, and, of those students, 1/2 answered the second question correctly, which of the following expressions indicates the number of students who did NOT answer both questions correctly?
(A) x/10
(B) x/5
(C) 5x/7
(D) 9x/10
(E) 9x
(A) x/10
(B) x/5
(C) 5x/7
(D) 9x/10
(E) 9x
Correct Ans is 9x/10- supported by CASE 2 in attachment
How would the question be asked if it were ONLY the intersection of those who got both questions wrong?
See CASE 1 in attachment
Thanks to respond with any other sample questions
How would the question be asked if it were ONLY the intersection of those who got both questions wrong?
See CASE 1 in attachment
Thanks to respond with any other sample questions
Say x = 10:
The number of students who answered the first question correctly = 10*1/5 = 2;
Of those 2 students, 1/2 answered the second question correctly, thus 2*1/2 = 1 student answered both questions correctly.
If 1 student answered both questions correctly, then the remaining 9 students did NOT answer both questions correctly.
Now, plugging x = 10, and see which of the options gives 9. Only D fits.
Answer: D.
As for your question, for case 1 the question would be "which of the following expressions indicates the number of students who answered both questions WRONG?"
Hope it's clear.
