Question

If s and t are positive integers such that s/t = 64.12, which of the following could be the remainder when s is divided by t ?

(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

Answer 1

Answer:

(E) 45

Step-by-step explanation:

                $\frac{s}{t} = 64.12$

From the question, s and t are positive integers.

                          s = 64.12t

From the division of s/t which gives 64.12, 0.12 it the remainder.

Now, split 64.12 into its integral multiple.

                         s =   (64 + 0.12)t

                         s =   64t + 0.12t

The value that could be the remainder would be any of the values given in the options that will give positive integer when it equals 0.12t.

Let's test for the answer

(A) 0.12t = 2

           t  = 16.77  Not an integer

(B)   0.12t = 4

          t  = 33.33  Not an integer

(C)   0.12t = 8

          t  = 66.67  Not an integer

(D)   0.12t = 20

          t  = 166.67  Not an integer

(B)   0.12t = 45

          t  = 375   An Integer   (CORRECT ANSWER)