CAT 2023 Slot 2 Solved Paper

Since there are two distinct factors other than 1, and itself, which implies the total number of factors of N is 4.
It can be done in two ways.
First case: N=p3 (where p is a prime number)
Second case: N=p1×p2 (Where p1,p2 are the prime numbers)
From case 1 , we can see that the numbers which is a cube of prime and less than 50 are 8 , and 27 (2 numbers). (3*7),(3*11),(3*13),(5*7){(13 numbers )}
Hence, the total number of numbers having two distinct factors is (13+2)=15.