whichscore wrote:
a and b are integers such that a/b = 3,45. If R is the remainder of a/b, which of the following could not be equal to R ?
A. 3
B. 9
C. 36
D. 81
E. 144
Hi! This question is a great test of the concept of remainders.
Since a/b = 3.45, we can say that a/b = 345/100. Since a and b must be integers, the smallest possible values will be:
345/100 = 69/20
Rewriting 69/20 with a quotient and a remainder we get 3rem9.
Now we don't know the exact values of a and b, but since we can reduce a/b to 3rem9, we know that the remainder must be a multiple of 9 (and could be any multiple of 9).
B, C, D and E are all multiples of 9: choose (A).
For practice on this concept, there's a 12th edition O.G. question that's very similar - unfortunately, I don't have my copy at home, so I can't cite the exact question number.