Sets · Class 11 · CBSE · Science Mathematics
In the universal set U = {1, 2, 3, ..., 12}, let A be the set of multiples of 2 and B be the set of multiples of 3. How many elements belong to neith…
Practice question from Sets (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
hard · MCQ · Q-37FF58
In the universal set U = {1, 2, 3, ..., 12}, let A be the set of multiples of 2 and B be the set of multiples of 3. How many elements belong to neither A nor B?
- A.2
- B.4Correct answer
- C.5
- D.6
Solution
There are 6 multiples of 2 and 4 multiples of 3 in U, with 2 common multiples: 6 and 12. Thus, . Therefore, the number of elements in neither set is .
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