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Quantitative Aptitude

Factors of a Number

If n is a pos...

Question

If n is a positive integer greater than 1, then PRO(n) represents the product of all the prime numbers less than or equal to n. The largest prime factor of PRO(12)+11 is:

A

2

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B

11

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C

13

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D

none of these

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Solution

The correct option is D
none of these

PRO $(12) + 11 = 2 \times 3 \times 5 \times 7 \times 11 + 11$
$= 11 \times (2 \times 3 \times 5 \times 7 + 1)$
$= 11 \times (210 + 1)$
$= 11 \times 211$

Since 211 is prime, the largest prime factor = 211.

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