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Solution



Given
    • 85 percent of the test takers answered the first question correctly.
    • 75 percent of the test takers answered the second question correctly.
    • 5 percent of the test takers answered neither question correctly

To find
    • The percent of test takers who answered both the question correctly.

Approach and Working out

A -> %age of Students who answered first question correctly = 85%
B -> %age of Students who answered second question correctly = 75%
Neither A nor B = 5%
A∩ B = ?

Total students = 100%
Total students – neither A nor B = A + B - A∩ B
    • 100 -5 = 85 + 75 - A∩ B
    • 95 = 85 + 75 - A∩ B
    • 10 = 75 - A∩ B
    • A∩ B = 65

Thus, option B is the correct answer.

Correct Answer: Option B
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