BTGmoderatorLU wrote:Source: Manhattan Prep

If \(T\) divided by \(B\) equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

The OA is C

We can create the equation:

T/B = 8 + 12/100

T/B = 8 + 3/25

Thus, the remainder is a multiple of 3, so 9 is a possible remainder.

Answer: C

Hi All,

We're told that T/B = 8.12 and we're asked for a POSSIBLE remainder when T is divided by B. The wording of this question implies that there are MULTIPLE answers - so if your 'first' solution isn't among the five answer choices, then that does not mean that your answer is wrong (it just means that you have one of the possible solutions that isn't listed - and that you have to keep working). In certain questions - such as this one - TESTing VALUES and doing a little work can reveal a pattern that you can then use to select the correct answer.

IF....
T = 812 and B = 100, then T/B = 8.12 and 812/100 = 80 remainder 12. This answer is not among the choices, but notice that both 812 and 100 are even, so we can reduce this fraction...

IF....
T = 406 and B = 50, then T/B = 8.12 and 406/50 = 80 remainder 6. This answer is not among the choices, but notice that both 406 and 500 are even, so we can again reduce this fraction...

IF....
T = 203 and B = 25, then T/B = 8.12 and 203/25 = 80 remainder 3. This answer is also not among the choices, but we now have three potential remainders that are ALL multiples of 3, thus, it's highly likely that the correct answer is ALSO a multiple of 3 - and there's only one answer that fits that pattern...

Final Answer: [spoiler=]C[/spoiler]

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