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?

#### Options

200

240

250

260

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#### 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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