BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course
Redeem
Featured Course
Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.
105 = 3*5*7Striver wrote:If positive integer X is a multiple of 6 and positive integer Y is a multiple of 14, is XY a multiple of 105?
(1) X is a multiple of 9.
(2) Y is a multiple of 25.
As x is a multiple of 6 (= 2*3) and y is a multiple of 14 (= 2*7), xy is a multiple of 6*14 = 84. Hence, xy is a multiple of 3, 4, and 7. Now for xy to be a multiple of 105 (= 3*5*7), xy has to be a multiple of 5 also.Striver wrote:If positive integer X is a multiple of 6 and positive integer Y is a multiple of 14, is XY a multiple of 105?
(1) X is a multiple of 9.
(2) Y is a multiple of 25.
New here Create free account
