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Cardinal Number

If the set A ...

Question

If the set A is defined as A = {x : x is a factor of 42 and is a prime number}. Then the number of elements in set A is

A

4

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B

3

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C

6

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D

5

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Solution

The correct option is B 3
Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42.
Out of these factors, 2, 3, and 7 are prime numbers.
$\Rightarrow A = 2, 3, 7$
$∴$ The number of elements in set A is 3.

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