Let A = {x : x is a multiple of 3} and B

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let A = {x : x is a multiple of 3} and B = {x : x is a multiple of 5}. Then A ∩ B is given by

Options:

{3, 6, 9 ...}

{5, 10, 15, 20, ...}

{15, 30, 45, ...}

None of these

Correct Answer:

{15, 30, 45, ...}

Explanation:

Since x ∈ A ∩ B ⇔ x ∈ A and x ∈ B ⇔ x is a multiple of 3 and x is a multiple of 5 ⇔ x is a multiple of 15.

Hence A ∩ B = {x | x is a multiple of 15} = {15, 30, 45, …}.

Hence (3) is the correct answer.