Neco Model Questions Vol1 2017 Mathematics Question 36

Practice objective / multiple choice question 36 from the 2017 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2017 Mathematics Objective / Multiple Choice Hard Difficulty
Question 36 NECO_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • objective

In a school, 55% of students study Mathematics, 45% study Physics, and 35% study Chemistry. The percentages of students studying both Mathematics and Physics, both Mathematics and Chemistry, and both Physics and Chemistry are 20%, 15%, and 15% respectively. Additionally, 5% of the students study all three subjects, and 10% study none of these subjects. A student is selected at random. (a) How many percent of the students study exactly one of the three subjects? (b) Given that the selected student studies at least one of the three subjects, what is the probability that the student studies exactly one subject? Express your answer as a fraction in lowest terms.

Answer Options

A. a) 55% ; b) 2/3
B. a) 45% ; b) 4/9
C. a) 60% ; b) 1/2
Correct Answer D. a) 50% ; b) 5/9
Correct Answer
D
Correct Option:
a) 50% ; b) 5/9

About This Question

This is Neco Model Questions Vol1 2017 Mathematics Question 36. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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