Bunuel wrote:
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?
A. 13
B. 31
C. 49
D. 57
E. 67
When it comes to remainders, we have a nice rule that says:
If N divided by D, leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.
So, if p is divided by 9, leaves a remainder 4, then the possible values of p are: 4, 4+9, 4+(2)(9), 4+(3)(9), ...etc
In other words, the possible values of p are 4, 13, 22, 31, 40, 49, 58, 67...
As you can see, 57 is not in the list.
Answer: D
Related ResourceThe following free video covers the concepts/strategies that are useful for answering this question:
- Remainders:
https://www.gmatprepnow.com/module/gmat ... /video/842Cheers,
Brent
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