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24 Sep 2026, 19:00
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C
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(N/A)
Question Stats:
76% (01:48) correct
24%
(01:37)
wrong
based on 33
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The students in a certain college class took a midterm exam and a final exam, both of which were scored out of a total of 100 points. What percent of the students earned a higher score on the final than on the midterm?
(1) Of the students in the class, 28% scored at least 6 points higher on the final than on the midterm.
(2) Of the students who scored higher on the final than on the midterm, 40% scored at least 6 points higher on the final.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) Of the students in the class, 28% scored at least 6 points higher on the final than on the midterm.
(2) Of the students who scored higher on the final than on the midterm, 40% scored at least 6 points higher on the final.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
24 Sep 2026, 19:58
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st1: 28% scored 6 points higher but no information total percentage scoring higher. not sufficient.
st2: out of total higher scoring 40% scored 6points higher. again no information on total. not sufficient
combining 1 and 2, we get to know that 40% of total high scoring is actually 28% of total. so, total high scorers become 70% of total. sufficient. Hence C.
st2: out of total higher scoring 40% scored 6points higher. again no information on total. not sufficient
combining 1 and 2, we get to know that 40% of total high scoring is actually 28% of total. so, total high scorers become 70% of total. sufficient. Hence C.
