**Quote:**

Could you, please, explain the solution? I didn't get it.

I found out that the remaider is 3; should we just pick up the answer to get multiple of 3?

Hi Shelen,

In the question, it is given that s/t = 64.12

Thus, we know that the remainder in decimal format will be 0.12

(Note : Do not make the mistake of considering it to be 12. It is 0.12)

Now, we know that the answer should be a multiple of 0.12 since 'the remainder of s/t' will be equal to 'the remainder of s/t in decimal format' multiplied by 't'.

That is, R of (s/t) = 0.12*t ----> which is a multiple of 0.12 for all the positive integer values that 't' can hold.

Now, in order to make the calculation simpler, we can multiply

both sides of the equation by 100.

R*100 = 12*t --> t = (R*100)/12

Now, since it is given that 't' is a positive integer, (R*100) has to be perfectly divisible by 12.

Thus look through the answer choices to see which one satisfies this condition.

You will find that R = 45 will be the only one that satisfies it, since 4500 is perfectly divisible by 12.

Therefore answer is choice (E) which is 45.

I did this with different approach.

=> Correct answer should be a multiple of 3. Only choice (E)45 is multiple of 3