BTGmoderatorDC wrote:Does the integer k have at least three different positive prime factors?
(1) k/15 is an integer.
(2) k/10 is an integer.
OA C
Source: Official Guide
Statement 1.
\(K\) is multiple of 15
\(K =5 \cdot 3 \cdot\) some integer \(C\)
Insufficient - \(C\) could be 1 or many other values. \(\Large{\color{red}\chi}\)
Statement 2
\(K\) is a multiple of 10
\(K = 5 \cdot 2 \cdot\) some integer \(C\)
Insufficient - \(C\) could be 2 or 1 or many other values. \(\Large{\color{red}\chi}\)
Statements 1 & 2 combined
Knowing that K is multiple of 15 and 10 just find the LCM and then draw a conclusion
\(LCM(15,10) = 5 \cdot 3 \cdot 2\) \(\Large{\color{green}\checkmark}\)
The correct answer is
C
