If U = {1, 2, ..., 36} and A is the set of multiples of 6, how many multiples of 12 are in A′?
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Answer and explanation
Correct answer: 0
Every multiple of 12 is automatically a multiple of 6, because 12 = 2 × 6. Thus every multiple of 12 belonging to U is already an element of A. The multiples of 12 in U are 12, 24, and 36, and none lies outside A. Consequently, no multiple of 12 belongs to A′, so the required number is 0.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
Every multiple of 12 is automatically a multiple of 6, because 12 = 2 × 6. Thus every multiple of 12 belonging to U is already an element of A. The multiples of 12 in U are 12, 24, and 36, and none lies outside A. Consequently, no multiple of 12 belongs to A′, so the required number is 0.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
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