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Problem Solving (PS) | Re: In a state bar exam with two sections, 35% of candidates failed one

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Bunuel wrote:

In a state bar exam with two sections, 35% of candidates failed one section, 42% failed the other section, and 15% failed both sections. If 5000 candidates took the exam, how many passed one section but not both?

A. 650
B. 2150
C. 2350
D. 4150
E.4500


Failed one = 35%
Failed other = 42%
Failed Both = 15%

Failed at least one section = 35 + 42 - 15 = 62%

So 62 - 15 = 47% failed EXACTLY one section. If they failed exactly one section, then they passed exactly one section too.

47% of 5000 is 3%
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