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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

1 Answer

4 votes

Answer:D

Explanation:

Given

when x is divided by y then remainder is 60

we can write x as


x=a\cdot y+60


(x)/(y)=a+(60)/(y)

Here
(60)/(y) is the decimal part

for example
14.97=14+0.97

for option
(a)15.15=15+0.15


(60)/(y)=0.15


y=400

which is a integer so it is possible

for option b


18.16=18+0.16

so
(60)/(y)=0.16


y=375

y is integer so it is possible

(c)
17.17=17+0.17


(60)/(y)=0.17

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

So option D is the correct option

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