Gmat_mission wrote: ↑Sun Sep 12, 2021 9:27 am
When positive integer \(x\) is divided by positive integer \(y,\) the remainder is 9. If \(x/y = 96.12,\) what is the value of \(y?\)
(A) 96
(B) 75
(C) 48
(D) 25
(E) 12
Answer:
B
Source: Official Guide
There are a few ways to tackle this question.
One way is to examine a few other fractions.
7/
2 = 3 with remainder
1.
7/
2 = 3
1/
2 = 3
.5
Notice that
0.5 =
1/
2
Another example:
11/
4 = 2 with remainder
3.
11/
4 = 2
3/
4 = 2
.75
Notice that
0.75 =
3/
4
Now onto the question....
So, we know that x/
y = some value with remainder
9
If x/
y = 96.
12, we can conclude that
0.12 =
9/y
Now solve for y.
0.12 =
9/y
12/100 = 9/y
[rewrite 0.12 as 12/100]
Simplify to get: 3/25 = 9/y
At this point, we might already see that y = 75.
If we don't spot this, we can always cross-multiply to get: 3y = (25)(9)
Solve to get y = 75
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
