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
I am solving it as follows. Please correct if wrong
Stem rephrased : What is the value of positive integer K?
S1: K^4 is divisible by 100
K could be 10, 100, 1000 or any other multiple of 10. Insufficient
S2: 50*k has 2 prime factors
5^2*2*k has 2 prime factors.
Means - K has prime factors of 5 or 2 or combination of both.
K could be 5, 2, 10, 50... Insufficient
S1+S2: K is a multiple of 10 and has 5 and 2 as its factors.
The possible option is 10. Sufficient
Final anwer : C
hazelnut01 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
