What is the remainder when the positive integer N is divided by 12?
1) When N is divided by 6, the remainder is 1.
2) When N is divided by 12, the remainder is greater than 5.
Statement 1: N = 6A + 1
Integer A could be 0, 1, 2, 3, 4 etc
Plugging in for A, N could then be 1, 7, 13, 19, 25 etc
Dividing N by 12 yields different values. Insufficient
Statement 2: N = 12B + Integer > 5
For B, I tested 1 and added 6, 7, 8, and 9
N could be 18, 19, 30, or 31
Dividing N by 12 yields different values. Insufficient
1&2) The only overlap in the two lists is N = 19. So the OA is C. But how can I be sure that this is the only number that works without testing many more cases?
Thanks so much
1) When N is divided by 6, the remainder is 1.
2) When N is divided by 12, the remainder is greater than 5.
Statement 1: N = 6A + 1
Integer A could be 0, 1, 2, 3, 4 etc
Plugging in for A, N could then be 1, 7, 13, 19, 25 etc
Dividing N by 12 yields different values. Insufficient
Statement 2: N = 12B + Integer > 5
For B, I tested 1 and added 6, 7, 8, and 9
N could be 18, 19, 30, or 31
Dividing N by 12 yields different values. Insufficient
1&2) The only overlap in the two lists is N = 19. So the OA is C. But how can I be sure that this is the only number that works without testing many more cases?
Thanks so much
