Gce Model Questions Vol1 2025 Mathematics Question 15

Practice objective / multiple choice question 15 from the 2025 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2025 Mathematics Objective / Multiple Choice Medium Difficulty
Question 15 GCE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • objective

In the Venn diagram below, three sets \(A, B, C\) have the following numbers of elements in each region: \(A\) only: 12, \(B\) only: 8, \(C\) only: 5, \(A\cap B\) only: 7, \(A\cap C\) only: 4, \(B\cap C\) only: 6, \(A\cap B\cap C\): 3. Using this information, determine (i) the number of elements that belong to exactly two of the sets, and (ii) the total number of elements that belong to at least one of the sets.

Answer Options

A. Exactly two sets: 15; at least one set: 42
Correct Answer B. Exactly two sets: 17; at least one set: 45
C. Exactly two sets: 16; at least one set: 44
D. Exactly two sets: 18; at least one set: 46
Correct Answer
B
Correct Option:
Exactly two sets: 17; at least one set: 45

About This Question

This is Gce Model Questions Vol1 2025 Mathematics Question 15. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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