Neco Model Questions Vol1 2017 Mathematics Question 30

Practice objective / multiple choice question 30 from the 2017 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2017 Mathematics Objective / Multiple Choice Hard Difficulty
Question 30 NECO_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • objective

In a school, 40% of the students are members of the Drama club, 35% of the students are members of the Music club and 25% are members of the Sports club. The percentages of students who belong to both Drama and Music, Drama and Sports, and Music and Sports are 15%, 10% and 8% respectively. It is known that 70% of the students belong to at least one of the three clubs. (a) Find the percentage of students who belong to all three clubs. (b) Given that a randomly selected student belongs to at least one club, what is the probability that the student belongs to exactly two clubs? Express your answer as a fraction in lowest terms.

Answer Options

A. (a) 5%; (b) 13/35
B. (a) 4%; (b) 9/35
Correct Answer C. (a) 3%; (b) 12/35
D. (a) 2%; (b) 14/35
Correct Answer
C
Correct Option:
(a) 3%; (b) 12/35

About This Question

This is Neco Model Questions Vol1 2017 Mathematics Question 30. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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