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28 Jan 2026, 12:44
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E
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Difficulty:
75%
(hard)
Question Stats:
61% (02:56) correct
39%
(03:06)
wrong
based on 127
sessions
History
Date
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Not Attempted Yet
Hannah took a two-page multiple-choice test. She answered 85 percent of the questions correctly on the first page and 25 percent correctly on the second page. If she answered 70 percent of the questions correctly on the entire test, approximately what percent of the questions she answered incorrectly were on the second page?
(A) 17%
(B) 22%
(C) 33%
(D) 56%
(E) 63%
(A) 17%
(B) 22%
(C) 33%
(D) 56%
(E) 63%
28 Jan 2026, 13:18
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let's say the test has 100 questions and x are on the second page.
Then she answered x*0.25 correct on the second page
and (100-x)*0.85 questions correct on the first page.
So overall: x*0.25 + (100-x)*0.85 = 70 (since 70% of 100 questions are correct in total).
Solve for x=25 -> 25 Questions are on the second page, from which 75% are incorrect: 25*0.75 = 18.75
We know that in total 70 are correct, therefore 30 are wrong.
So, percent of wrong answers on the second page is 18.75/30=62.5%
Answer E
Then she answered x*0.25 correct on the second page
and (100-x)*0.85 questions correct on the first page.
So overall: x*0.25 + (100-x)*0.85 = 70 (since 70% of 100 questions are correct in total).
Solve for x=25 -> 25 Questions are on the second page, from which 75% are incorrect: 25*0.75 = 18.75
We know that in total 70 are correct, therefore 30 are wrong.
So, percent of wrong answers on the second page is 18.75/30=62.5%
Answer E
29 Jan 2026, 01:24
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kevincan
We know the accuracies:
85% on page 1 and 25% on page 2 and overall 70%
If we look at the deviations from the mean, we have
85-70=+15% on page 1
25-70=-45% on page 2
Since the deviations must cancel out, we must have thrice the number of questions on the first page compared to the second page
If we assume 300 questions on page 1 and 100 on page 2, number of wrong answers on page 1 is 15% of 300 = 45 and number of wrong answers on page 2 is 75% of 100 = 75
Thus, percent of wrong answers on the second page
= 75/(45+75) × 100
= 62.5 %
Answer E
