Is pq divisible by 168?
(1) p is divisible by 14
(2) q is divisible by 12

The Answer in the Book is C. However, why isn't it E?

LCM of 12 and 14 = 2x2x3x7 = 84

84 is not evenly divisible by 168. So aren't both statements insufficient?

Thanks Jamie! (sorry for taking such a long time!)

A follow up to this. 0 is also a multiple of 14 and 12. Is being a multiple of a number different from being divisible by it in this case?

Hello, Could anyone explain when we can use 2 Smart Numbers to solve a problem and when we can only use 1? Here is an example I made up where you can use two smart numbers: 1) Hoses A and B fill 600 gallons in z minutes. Hose A fills 600 gallons in a minutes. In terms of z and a, how many minutes do...

Can someone help me with this (altered) mgmat question? A mixture of 20 grams of lean ground beef is mixed with 50 grams of fatty ground beef to create a ground beef mix with 8% fat. How many grams of fat does the lean ground beef have? My method: 20 grams lean : 50 grams fatty : 70 grams total x% f...

I have also been wondering about the difference.

For example:

She has played soccer
She had played soccer
She had been playing soccer
She was playing soccer

Although I get them intuitively, could you give an explanation of the difference?

Many thanks.

Thanks for the help! You guys are awesome.

Was thinking the same thing. While using OG Archer, it became natural for me to check difficulty level.