DIRECTIONS for the question:Solve the following question and mark the best possible option.
There are two prime numbers a and b, such that a < b < 150 and (a + b) is a factor of 3087. How many values of b are possible?
A)
1
B)
3
C)
4
D)
5
E)
6
D
Give, a and b are both prime, also, a+b is a factor of 3087
Since a and b are less than 150, there total can be at maximum 298,
3087 = 32 × 73
(a+b) can be 7, 9, 49, 21, 63, 147
