Gce Model Questions Vol1 2018 Mathematics Question 5

Practice objective / multiple choice question 5 from the 2018 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Medium Difficulty
Question 5 GCE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

The Venn diagram shows three sets A, B and C. The numbers in the regions are: AB only = 20, AC only = 18, BC only = 24, and the region common to all three sets = 7. The universal set contains 120 elements, of which 20 are in none of the sets. It is also known that the number of elements that belong to exactly two of the sets is twice the number that belong to exactly one set, and that the numbers of elements belonging only to B and only to C are equal. Finally, set B contains 57 elements. Find the number of elements in set A.

Answer Options

Correct Answer A. 64
B. 71
C. 82
D. 58
Correct Answer
A
Correct Option:
64

About This Question

This is Gce Model Questions Vol1 2018 Mathematics Question 5. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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