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Question

If 5 is the least prime factor of number p and 11 is the least prime factor of number q, then the least prime factor of p + q is

A
3
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B
5
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C
11
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D
2
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Solution

The correct option is D 2
The least prime factor of p is 5, so p is not divisible by 2.

⇒ p is an odd number

The least prime factor of q is 11, so q is not divisible by 2.

⇒ q is an odd number

The sum of two odd numbers is divisible by 2.

Hence, the least prime factor of (p + q) is 2.

Hence, the correct answer is option (d).

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