Question

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

Answer 1

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`