bulletpoint wrote:
If k is a common multiple of 75, 98, and 140, which of the following statements are true?
I. k is divisible by 9
II. k is divisible by 49
III. k is greater than 14,000
a) II only
b) III only
c) I and II only
d) II and III only
e) I, II, and III
Given K is a common multiple of 75,98,140, Least Common Multiple of these numbers will be 14700
K will be of the form 14700*n...where n=1,2,3,.....
I)14700*n is not divisible by 9 for all values of 'n' (eg: at n=1,k=14700 not divisible by 9). Hence I cant be always true
II) 14700*n is divisible by 49 for all values of 'n'. Hence II is true
III)14,700*n is greater than 14,000.Hence III is true
Ans d) II and III only
Hope its clear