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GRE - Quantitative Reasoning - Sets

Set X consists of the positive multiples of 5 and set Y consists of odd prime numbers less than 20.If set Z consists of every distinct integer less than 100 that is the product of one element from set X and one element from set Y,then set Z consists of ho

Set X consists of the positive multiples of 5 and set Y consists of odd prime numbers less than 20.If set Z consists of every distinct integer less than 100 that is the product of one element from set X and one element from set Y,then set Z consists of how many elements?

A). 12
B). 14
C). 15
D). 16
E). 18

Set X : {5, 10, 15, 20, 25, 30, 35 . . .}

Set Y : {3, 5, 7, 11, 13, 17, 19}

Set Z : Product of X and Y  less than 100

 

Element in Set X Number of products less than 100
5 7
10 3
15 2
20 1
25 1
30 1
35 0

Total Number of products less than 100 = 15

 

Option C is correct