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

Step-by-step explanation:

Given

when x is divided by y then remainder is 60

we can write x as

$x=a\cdot y+60$

$\frac{x}{y}=a+\frac{60}{y}$

Here $\frac{60}{y}$ is the decimal part

for example $14.97=14+0.97$

for option $(a)15.15=15+0.15$

$\frac{60}{y}=0.15$

$y=400$

which is a integer so it is possible

for option b

$18.16=18+0.16$

so $\frac{60}{y}=0.16$

$y=375$

y is integer so it is possible

(c)$17.17=17+0.17$

$\frac{60}{y}=0.17$

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

So option D is the correct option