Remainder Problem!!

[adi14sks]

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

[EdYo]

IMO D

I can rewrite x = ?*y +60

For the WOTF (which of the following) is usually start from choice D or E. Notice that I appears in 3/5 question so I started with I

I can be rewritten as follow: 15.15 = 15*y + 60/y --> I have 60/y = 0.15 --> i figured out y= 400.
I also have x = ?*y +60 --> x= 6060 and x is an integer so I is true (1)

Next I attack II because II looks different ( I is 15.15 and III is 17.17)
I do the same thing with II and y is 375 --> I found x= 6810 and x is also an integer. (2)

From (1) and (2) I conclude: answer is D: I and II only. There is no point to find III because there is no choice F: I, II and III

cheer

[touche]

Same approach as edyo, only diff being that just the factors considered...
D

[adi14sks]

Thanks
That was of great help