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:
Does GMAT RC seem like an uphill battle? e-GMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT
Re: When positive integer A is divided by positive integer B
[#permalink]
Show Tags
22 Dec 2009, 20:14
7
1
2
prasadrg wrote:
Thank you for solving. I am still not clear the concept behind dividing 35/100 to get the reminder.
How do we assume 100 here?
I know it is subtle, and I am not able to catch it. Appreciate your help.
we know that A,B are +ve integers and when A is divided by B we get 4.35. This 4 is the quotient obtained when A is divided by B. We get 0.35 because A is not prefectly divisible by B and this 0.35 is the remainder which we need to find out in terms of whole numbers
0.35 = 35/100 (shifting the decimal 2 places to make it a whole number) this 35/100 is the remainder for A/B. On simplifying we get 7 as the remainder if B =20
Now we know quotient is 4 so if B = 20 A will be 4*20 + 7 = 87 (A/B gives 4.35) If B = 100 then A will be 4*100 + 35 = 435 (A/B gives 4.35) If B = 60 then A will be 4*60 + 21 = 261 (A/B gives 4.35)
so we can see that remainder in this case will be a multiple of 7. of the given option 14 satisfies this. hope this helps
Re: When positive integer A is divided by positive integer B
[#permalink]
Show Tags
17 Sep 2017, 15:40
Top Contributor
prasadrg wrote:
When positive integer A is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when A is divided by B?
(A) 13 (B) 14 (C) 15 (D) 16 (E) 17
Notice that 0.35 = 35/100
So, we can write: A/B = 4 35/100 = 435/100 So, one possible case is that A = 435 and B = 100 When we divide 435 by 100, the remainder is 35 Unfortunately 35 is NOT one of the answer choices.
Now let's examine some fractions that are EQUIVALENT to 435/100 For example, 435/100 = 87/20 (= 4.35) In other words, A = 87 and B = 20 In this case, when we divide A by B, the remainder is 7 Unfortunately 7 is NOT one of the answer choices.
Find another fraction EQUIVALENT to 435/100 How about 174/40 (= 4.35) In other words, A = 174 and B = 40 In this case, when we divide A by B, the remainder is 14 Aha, 14 IS one of the answer choices!!
We see that the remainder is a multiple of 7; thus, the remainder could be 14.
I did not get the highlighted part. In the question stem, we are only given that dividend and divisor are positive integers, is it an inherent property that a remainder will always be an integer?
_________________
It's the journey that brings us happiness not the destination.
The Remainder is a integer always less than divisor.
In the division of 43 by 5 we have:
43 = 8 × 5 + 3, so 3 is the remainder.
Quote:
We see that the remainder is a multiple of 7; thus, the remainder could be 14.
I did not get the highlighted part. In the question stem, we are only given that dividend and divisor are positive integers, is it an inherent property that a remainder will always be an integer?[/quote]
_________________