Gce Model Questions Vol1 2021 Mathematics Question 18

Practice objective / multiple choice question 18 from the 2021 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Medium Difficulty
Question 18 GCE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

In a survey of 170 students, the numbers studying Mathematics (M), Physics (P) and Chemistry (C) are as follows: \(n(M)=90\), \(n(P)=80\), \(n(C)=70\). The numbers studying each pair of subjects are \(n(M\cap P)=45\), \(n(M\cap C)=40\), \(n(P\cap C)=35\). Let \(x\) be the number of students who study all three subjects. It is known that the number of students who study none of the three subjects equals the number who study exactly two subjects. Find \(x\).

Answer Options

A. 55
Correct Answer B. 40
C. 30
D. 45
Correct Answer
B
Correct Option:
40

About This Question

This is Gce Model Questions Vol1 2021 Mathematics Question 18. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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