shard87 wrote:

The product of all prime numbers from 2 to 29 plus 1 equals K. Which of the following is true?

I. K is divisible by prime number.

II. K has a prime factor greater than 29.

III. P is divisible by 30

A. I

B. II

C. III

D. I and II

E. I, II and III

This question is definitely not a 600 level GMAT question. However, this question is of moderate difficulty(IMO).

Prime numbers from 2 to 29 are 3 5 7 11 13 17 19 23

Product is a odd number. Hence odd number + 1 = even number(So divisible by a prime number 2). Note that this question is not a must be true question.

Option I satisfies. But, I am skeptical about Option II. If someone explains how it is correct it would be helpful.

Also Option III, the term should be K and it is not divisible by 30. Since the product is added with 1, which doesn't end with a zero.

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