Since a/b = 32.16, the quotient is 32
Remainder is .16*x = 12
x = 12/.16 = 1200/16 = 300/4 = 75(Option D)

To check if our answer is correct, 75*32 + 12 = 2412.
This when divided by 75 gives us 32.16
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You've got what it takes, but it will take everything you've got

This problem will be best solved using the remainder formula. Let’s first state the remainder formula:

When positive integer a is divided by positive integer b, if integer Q is the quotient and r is the remainder, then a/b = Q + r/b.

In this problem, we are given that when positive integer a is divided by positive integer b, the remainder is 12. So, we can say:

a/b = Q + 12/b

We also are given that a/b = 32.16. Using the remainder formula, we can say:

a/b = 32.16

a/b = 32 + 0.16

a/b = 32 + 16/100

Because Q is always an integer, we see that Q must be 32, and thus the remainder 12/b must be 16/100. We can now equate 12/b to 16/100 and determine the value of b.

12/b = 16/100

12/b = 4/25

12 x 25 = 4b

3 x 25 = b

75 = b

Answer: D
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Since a/b = 32.16, Rem is 0.16*b = 12; b = 12/.16 = 1200/16 = 300/4 = 75(Option D)