Bunuel wrote:
p is an integer between 10 and 99. Is p less than 80?
(1) The product of the two digits in p is a prime number.
(2) Each of the two digits has at most 2 factors.
Given: p is an integer between 10 and 99
Statement 1
The product of the two digits in p is a prime number. Prime number has 2 factors 1 and itself. So, one digit is 1 and other a prime.
p can at max be 71. Hence, p will always be less than 80.
Sufficient
Statement 2
Each of the two digits has at most 2 factors
This gives us following cases:
1. both digits are 1
2. one of the digits is 1 and other a prime
3. both the digits are prime.
so p can at max be 77. Hence, p will always be less than 80
Sufficient
Answer - D