Question

When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?

I. 15.15
II.18.16
III. 17.17

A. I only
B. II only
C. III only
D. I and II only
E. I and III only

Answer 1

The correct answer is D. I and II only

Explanation:

Using the following formula to verify all possible options:

`(Number)/(Divisor) = Quotient + (Remainder)/(Divisor)\\`

Checking for 15.15:

Quotient = 15

`frac{Remainder}{Divisor} = 0.15\\(60)/(y) = 0.15\\\y = (60)/(0.15)\\y = (60 * 100)/(15)\\y = 400`

Completely divisible, this means that this option is Correct.

Checking for 18.16:

Quotient = 18

`(Remainder)/(Divisor) = 0.16\\(60)/(y) = 0.16\\\y = (60)/(0.16)\\y = (60 * 100)/(16)\\y = 375`

Completely divisible, this means that this option is Correct.

Checking for 17.17:

Quotient = 17

`(Remainder)/(Divisor) = 0.17\\(60)/(y) = 0.17\\\y = (60)/(0.17)\\y = (60 * 100)/(17)\\y = 352.95\\\\`

Not completely divisible, so this is the wrong choice.