IPMAT Question Paper 2020 | IPM Indore Quants

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IPMAT 2020 Question Paper IPM Indore Quantitative Ability. Solve questions from IPMAT 2020 Question Paper from IPM Indore and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here: IPM Sample Paper

Question 8 : Out of 80 students who appeared for the school exams in Mathematics (M), Physics (P) and Chemistry (C), 50 passed M , 30 passed P and 40 passed C. At most 20 students passed M and P at most 20 students passed P and C and at most 20 students passed C and M. The maximum number of students who could have passed all three exams is __________.

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Video Explanation

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Explanatory Answer

M ∪ P ∪ C = 80 (assume 80 to get max value of x)

M ∪ P ∪ C = M + P + C - (M ∩ P) - (P ∩ C) - (M ∩ C)+ M ∩ P ∩ C

80 = 50 + 30 + 40 - (M ∩ P) - (P ∩ C) - (M ∩ C) + x

(M ∩ P) + (P ∩ C) + (M ∩ C) = 40 + x

At most 20

So, 20 + 20 + 20 = 40 + x

x_max = 20

The answer is 20

 

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