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vikasp99
How many numbers between 100 and 300, inclusive, are multiples of both 5 and 6?

(A) 7

(B) 12

(C) 15

(D) 20

(E) 30

If a number is a multiple of both 5 and 6, then it is a multiple of 30. Thus we need to determine the number of multiples of 30 between 100 and 300 inclusive.

(largest multiple in the set - smallest multiple in the set)/30 + 1

(300 - 120)/30 + 1 = 7

Answer: A
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30*12 = 360 so B,C,D,E are eliminated. Answer choice multipled by 30 must be less than or equal to 300
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Multiple of both 5 and 6 is LCM (5,6) = 30.
Since upper range is 300, 300/30 = 10. The number of multiples has to be less than 10, and only option is then 7
vikasp99
How many numbers between 100 and 300, inclusive, are multiples of both 5 and 6?

(A) 7
(B) 12
(C) 15
(D) 20
(E) 30
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