(1) n is a multiple of 10.grandh01 wrote:Is the integer n a multiple of 140 ?
(1) n is a multiple of 10.
(2) n is a multiple of 14.
OA is E
If n = 90, then n is not a multiple of 140.
If n = 280, then n is a multiple of 140.
No definite answer; NOT sufficient.
(2) n is a multiple of 14.
If n = 28, then n is not a multiple of 140.
If n = 140, then n is a multiple of 140.
No definite answer; NOT sufficient.
Combining (1) and (2),
Prime factorization of 10 = 2 * 5
Prime factorization of 14 = 2 * 7
Therefore, LCM of 10 and 14 = 2 * 5 * 7 = 70
70 is not a multiple of 140.
But 140 is a multiple of 140; NOT sufficient.
The correct answer is E.
