Bunuel wrote:

Mr. McCall selects a number that is two-digit and positive. If the number is prime, he assigns that many problems for homework. If the number is not prime, he assigns 8 more problems than the number for homework. If he assigns 97 problems for homework, which of the following could be the number he selected?

I. 89

II. 97

III. 105

A. I only

B. I and II only

C. II only

D. II and III only

E. I and III only

No of problems assigned=97

Among 89,97, and 105; 89 and 97 are the prime numbers. So, 105 is eliminated.

89 can't be incremented to 97 since it's a prime; as per question algorithm stops at 89.

Hence,97 is the selected number.

Ans (C)

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Regards,

PKN

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