Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Re: If x and y are positive integers such that x/y=33.375,
[#permalink]
Show Tags
07 May 2012, 23:36
3
3
alexpavlos wrote:
If x and y are positive integers such that x/y=33.375, which of the following could be the remainder when x is divided by y?
A. 8 B. 21 C. 25 D. 44 E. 47
I assumed that the remainder would be a number "b" where b / y = 0.375. But didn't know how to proceed. Thanks!
\(x\) divided by \(y\) yields the remainder of \(r\) can always be expressed as: \(\frac{x}{y}=q+\frac{r}{y}\) (which is the same as \(x=qy+r\)), where \(q\) is the quotient and \(r\) is the remainder.
\(\frac{x}{y}=33.375=33\frac{375}{1,000}=33\frac{3}{8}=33+\frac{3}{8}\), so according to the above \(\frac{r}{y}=\frac{3}{8}\), which means that \(r\) must be a multiple of 3. Only option B offers answer which is a multiple of 3.
Re: f x and y are positive integers such that x / y = 33.375, wh
[#permalink]
Show Tags
07 May 2012, 20:38
1
IMO B
You are correct upto b/y, where b is the remainder..
0.375 can be represented as 3/8, so in our case, b must be the multiple of 3.. from the options given, only B(21) matches this criteria, hence B is the answer
Re: If x and y are positive integers such that x/y=33.375,
[#permalink]
Show Tags
09 May 2012, 14:05
alexpavlos wrote:
If x and y are positive integers such that x/y=33.375, which of the following could be the remainder when x is divided by y?
A. 8 B. 21 C. 25 D. 44 E. 47
I assumed that the remainder would be a number "b" where b / y = 0.375. But didn't know how to proceed. Thanks!
x/y=33.375 x = 33y + 0.375y
quotient (q) = 33 reminder (r) = 0.375y
Since x and y are positive integers, quotient and reminder are always integers or whole numbers. Then, r must be one of these whole numbers from the answer choices. We need to find which one of these answer choices is divisible by 0.375. r = 0.375y r = 3y/8
A. If r = 8, 3y/8 = 8, y = 64/3 B. If r = 21, 3y/8 = 21, y = 56 C. If r = 25, 3y/8 = 25, y = 200/3 D. If r = 44, 3y/8 = 44, y = 353/3 E. If r = 47, 3y/8 = 47, y = 376/3
So only, B has integer value/whole number. So its B.
One of the numbers given in the options is left as a remainder when x is divided by y. So if these numbers are added to x, then they should be divisible by y.
267+8 = 275 --> Not divisible by 8. 267+21 = 288 --> divisible by 8. --> Required answer. (we are lucky that in the 2nd option itself we got such a number. Otherwise we might have to test all given options)
B is the answer.
Another way
(267/8) --> remainder is 3. IF I add 5 to it then it will be divisible by 8
Select such a number which when divided by 8, leaves a remainder 5. B is again the option.