DIRECTIONS for the question: Solve the following question and mark the best possible option.
X is defined as the difference between the largest and the smallest prime numbers below 100 and X can be expressed as a multiple of two prime numbers. If Y is defined as the sum of these two prime multiples, then how many factors does Y have?
A)
2
B)
4
C)
6
D)
8
E)
10
D
X is 97-2 = 95
97 = 19*5
Therefore, Y = 19+5 = 24
24 = 23 * 3
Number of factors = (3+1)*(1+1) = 8
