Hey guys,

This is on page 488 on the SAT OG Book

I know this is an easy question, but is there any simple solutions or shortcuts to solve this problem? I always make careless mistakes when doing them

If p is an integer an 3 is the remainder when 2p+7 is divided by 5, then p could be
a)2 b)3 c)4 d)5 e)6

2. Originally Posted by fabxx
Hey guys,

This is on page 488 on the SAT OG Book

I know this is an easy question, but is there any simple solutions or shortcuts to solve this problem? I always make careless mistakes when doing them

If p is an integer an 3 is the remainder when 2p+7 is divided by 5, then p could be
a)2 b)3 c)4 d)5 e)6
You could find it pretty quickly by just going through the possible answers. 2(2)+7/5 = 11/5 = 2 1/5. A can't be it. 2(3)+7 /5 = 13/5. So B has a remainder of 3. Since it'll be multiple choice, it won't take more than 30 seconds, and if it is in the first few, 15 seconds.

3. if 2p+7 has a remainder of 3 when divided by 5, then 2p+4 is divisible by 5

which number works?