If k is a positive Integer, how many unique Prime Factors Does 14k have ?
(1) k^4 is divisible by 100
(2) 50*k has 2 Prime Factors
OA=C
(1) k^4 is divisible by 100
(2) 50*k has 2 Prime Factors
OA=C
to find the total prime factors of 14k we need to know the prime factors of kziyuenlau wrote:If k is a positive Integer, how many unique Prime Factors Does 14k have ?
(1) k^4 is divisible by 100
(2) 50*k has 2 Prime Factors
OA=C
Statement 1: k^4 is divisible by 100
this statement only confirms that k has ATLEAST two prime factors 2 and 5 but we do NOT know what other prime factors k may have hence
NOT SUFFICIENT
Statement 2: 50*k has 2 Prime Factors
50 k has two prime factors confirms that 50k has 2 and 5 but we don't know whether these two prime factors are available in k as well or not because they are available from 50 as well. But we realize that k has no prime factor other than 2 and 5 hence
NOT SUFFICIENT
Combining the two statements
We know that k has only two prime factors 2 and 5 hence
SUFFICIENT
Answer: Option C
