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

Answer 1

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