# In an examination, every candidate took either Physics or Mathematics or both. 84% of the candidates took Physics and candidates who took Mathematics were half of those who took Physics. - Mathematics

MCQ

In an examination, every candidate took either Physics or Mathematics or both. 84% of the candidates took Physics and candidates who took Mathematics were half of those who took Physics. The total number of candidates being 1000, how many took both Physics and Mathematics?

• 200

• 240

• 250

• 260

#### Solution

260

Explanation:

n(P∪M) = 100%, n(M) = 42%, n(P) = 84%

n(P∩M) =n(M) + n(P) − n(P∪M)

= 42 + 84 − 10 = 26%

Number of candiadates who have taken both

=26/100xx1000=260

Concept: Percentage, Discount and Partnership (Entrance Exam)
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