alexpavlos wrote:

If x and y are positive integers such that x/y=33.375, which of the following could be the remainder when x is divided by y?

A. 8

B. 21

C. 25

D. 44

E. 47

I assumed that the remainder would be a number "b" where b / y = 0.375. But didn't know how to proceed.

Thanks!

x/y=33.375

x = 33y + 0.375y

quotient (q) = 33

reminder (r) = 0.375y

Since x and y are positive integers, quotient and reminder are always integers or whole numbers. Then, r must be one of these whole numbers from the answer choices. We need to find which one of these answer choices is divisible by 0.375.

r = 0.375y

r = 3y/8

A. If r = 8, 3y/8 = 8, y = 64/3

B. If r = 21, 3y/8 = 21, y = 56C. If r = 25, 3y/8 = 25, y = 200/3

D. If r = 44, 3y/8 = 44, y = 353/3

E. If r = 47, 3y/8 = 47, y = 376/3

So only, B has integer value/whole number. So its B.