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. 15.15II.18.16III. 17.17(A) I only(B) II only(C) III only(D) I and II only(E) I and III only

Respuesta :

Answer:D

Step-by-step explanation:

Given

when x is divided by y then remainder is 60

we can write x as

[tex]x=a\cdot y+60[/tex]

[tex]\frac{x}{y}=a+\frac{60}{y}[/tex]

Here [tex]\frac{60}{y}[/tex] is the decimal part

for example [tex]14.97=14+0.97[/tex]

for option [tex](a)15.15=15+0.15[/tex]

[tex]\frac{60}{y}=0.15[/tex]

[tex]y=400[/tex]

which is a integer so it is possible

for option b

[tex]18.16=18+0.16[/tex]

so [tex]\frac{60}{y}=0.16[/tex]

[tex]y=375[/tex]

y is integer so it is possible

(c)[tex]17.17=17+0.17[/tex]

[tex]\frac{60}{y}=0.17[/tex]

y=352.94 which is not a integer so option 3 is not possible

So option D is the correct option