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If k is a prime number, what is the value of k?

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Re: If k is a prime number, what is the value of k? [#permalink]
Bunuel wrote:
If k is a prime number, what is the value of k?

(1) 3k is a common factor of 24 and 36.
(2) k is a factor of 6.

It's given that K is a prime number. we have to find out what is the value of K.

statement 1: it states that 3k is a factor of 24 and 36. Now just think if k is a prime k could be 2 3 5 7 11 13 and so on. here it is better to input some primes. if k=2 , 3k will be 6 which is a factor of both 24 and 36. If k = 3 we will get 9 but it is not a factor of 24. we need to pick up a value for k that ultimately divides both 24 and 26. It is only possible if we take 2 as a value of K. Sufficient. thus the value of k is 2.

statement 2: it states that k is a factor of 6. Factors of 6 are : 1, 2, 3 , 6. now it is given that k is a prime. we are left with 2 and 3. Thus, we can pick up the specific one. Not stuff.

Thus the correct answer is A.
Re: If k is a prime number, what is the value of k? [#permalink]
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