General GMAT Strategies - 7 videos (free), Analytical Writing Assessment - 5 videos (free), Quantitative diagnostic & tune-up package. That works because odd powers of $10$ are $-1 \pmod{11}$ while even powers are $1$. If you continue browsing, we assume that you consent to the use of our cookies. Prep, Experts' From here I'm not sure how I should continue. MBA Spotlight The Biggest MBA Fair is June 13-14, BSchool Application $$, We are graduating the updated button styling for vote arrows, Statement from SO: June 5, 2023 Moderator Action. JavaScript is disabled. When should I use the different types of why and because in German? $$. . if the student is in "beginning Algebra" then it I am quite sure he never studied Modular Algebra. Because Q is always an integer, we see that Q must be 96, and thus the . The truth is with the right resources, any score improvement is possible. \color{#c00}{10^{\large 3}}$. You must log in or register to reply here. Groupe, MBA We also say that m is a divisor of n, m is a factor of n, n is divisible by m, and n is a multiple of m. The integer 0 is not a divisor of any integer. $$ should it not be $(k-4)$ instead of $(k+4)$? .exe with Digital Signature, showing SHA1 but the Certificate is SHA384, is it secure? \Rightarrow n=78 \text { or } 161 The above shows that $\, 7,11,13\mid 10^{\large 3}+1\mid 10^{9}+1\,$ which leads to the well-known divisibility test: casting out $1001$'s, i.e. Question 1: If a positive integer n is divided by 5, the remainder is 3. GMAT Club's website has not been reviewed or endorsed by GMAC. When a positive integer is divided by another positive integer, the result will always be positive. A bag of tricks that only work in rare cases isn't very useful. GMAT FAQ's in 2 mins or less, How to get 6.0 on Turbocharge your GMAT prep with live instruction from Harvard alumna and GMAT expert Ceilidh Erickson in seminar-style, virtual classes with highly motivated study buddies from around the world. Brute force isn't demanding so much effort, actually a handful of two-digits subtractions, using the table $13,26,39,52,65,78,91,104,117$. GMAT A positive integer m when divided by 11 gives remainder 6. Using this convention, what is the quotient and what is the remainder when -17 is divided by 5? How many positive integers less than 100 have a remainder of 2 when divided by 13? :&\,\ \color{#c00}{10^{\large 3}}\ \equiv\,\ 3^{\large 3}\,\ \equiv\,\ \color{#c00}{{-}1}\\ \\ David W. Dividend = 12401, divisor = x, quotient = 76 and remainder = 13. Note the second factor is $10^9+1$. Which of the numbers below yields a remainder of 0 when it is divided by 5 ? $$\sum\limits_{k=1}^n k^3=\frac{n^2(n+1)^2}{4}=Q\cdot (n+5)+17$$ \begin{array}{l}\quad 4(17) \equiv 400 \quad (\bmod n+5) \\ Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. When N is divided by 13, the remainder is 5. That means you can find the remainder mod $1001$ and hence mod $7$, $11$ and $13$ by alternately adding and subtracting "digits" in groups of three - essentially thinking of the number as written in base $1000$. Solution: We know by Euclid's division lemma that. Why might a civilisation of robots invent organic organisms like humans or cows? $n=4k+1$, $\ \frac14 n^2(n+1)^2-17=(n+5)\left(16 k^3 + 13 k + \frac{83}{2 (2 k + 3)} - \frac{33}{2}\right)$ thus $\frac{83}{2 (2 k + 3)} - \frac{1}{2}$ should be a whole number, thus $\frac{83}{ (2 k + 3)}$ should be odd integer, $(2 k + 3)|83$, $k=40$ and $n=4k+1=161$. \Rightarrow n+5 \mid 400-4(17)=2^{2} \times 83 \\ GMAT Club Forum. Given a large integer N, the task is to find all the possible remainders when N is divided by all the positive integers from 1 to N + 1. The remainder when the same number is divided by 9 is equal to Q. No packages or subscriptions, pay only for the time you need. Learn more about Stack Overflow the company, and our products. Choose? n is a positive integer 2 Explanations 14 Georgiy Danielyan What if N is equal to 1? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Solution Verified by Toppr Correct option is B) Let n=9q+73n1=27q+20 27q+18+2=9(3q+2)+2 3n1=9k+2 Remainder is 2 when 3n1 is divided by 9. \end{array} Find the remainder using Fermat's little theorem when $5^{119}$ is divided by $59$. We are thrilled to be offering and sponsoring a number of great prizes during the MBA Spotlight June 13 - 14: To win, you need to REGISTER for the MBA Spotlight Fair AND Attend a live Zoom or YouTube session. The first two will satisfy the initial condition, so $n=78, n=161$. It only takes a minute to sign up. Answer C. Private tutor exclusively for the GMAT and GRE, with over 20 years of experience. Alarm clock randomly speeds up after 30 years. Sign up to receive daily emails with various GMAT practice questions. $\frac{1}{4}(k-5)^2(k-4)^2$ = $\frac{1}{4}(k^4-18k^3+121k^2-360k+400)$=$pk+17$ for some integer $p$. n+5 \mid 4\cdot\left(\frac{n^2(n+1)^2}{4}-100\right)$$, $$\sum\limits_{k=1}^n k^3=\frac{n^2(n+1)^2}{4}=Q\cdot (n+5)+17$$, $$n+5 \mid 4\cdot\left(Q\cdot (n+5)+17-100\right)= when we divide n''/5=1 cross multiplying gives n''=5. Questions. A positive integer n, when divided by 9, gives 7 as remainder. Why? Indicate all such integers. Find the smallest number which leaves remainder $8,12$ when divided by $28$ and $32$. Good luck to you! If 54 divided by N gives a quotient of 13 and a remainder of 2, then: a Question +1 for an excellent method of solving problems like this, but honestly, your answer would IMO be a lot more readable of you added a few more English words and simplified the notation a bit. Kudos. this [punk rocker] ain't interested in the HOW. Study Plan, Video Get One of Over 1,000 App Fee Waivers and 250+ GMAT Club Test Licenses or Forum Quiz Prizes at MBA Spotlight. $\color\red{\overline{abc}-\overline{def} = 0 \implies \overline{abc} = \overline{def} \implies \overline{abcdef} = 1000\overline{abc}+\overline{def} = 1000\overline{abc}+\overline{abc} = 1001\overline{abc} = 13\cdot77\overline{abc}}$, $\color\green{\overline{abc}-\overline{def}+\overline{ghi} = 0 \implies \overline{abc}+\overline{ghi} = \overline{def} \implies \overline{abcdefghi} = 1000000\overline{abc}+1000\overline{def}+\overline{ghi} = 1000000\overline{abc}+1000\overline{abc}+1000\overline{ghi}+\overline{ghi} = 1001000\overline{abc}+1001\overline{ghi} = 13\cdot(77000\overline{abc}+77\overline{ghi})}$, That makes a lot of sense now and is a lot simpler than I expected! ANY MATH -I can break it down to the basics for you! \end{array} What are the best ways to get to know a school? n+5 \mid 4\cdot\left(\frac{n^2(n+1)^2}{4}-100\right)$$ The important takeaway in this article is that you can sometimes save yourself a lot of work by listing possible values and, more importantly, by including the smallest possible value in that list. $7$ divides $135792468135792468$ without remainder, $11$ divides $135792468135792468$ without remainder, $13$ divides $135792468135792468$ without remainder. What would be my options? A 0. d_5 d_4 d_3}\!\! Find the smallest positive integer that is divisible by 13 and than when divided by any of the integers from 2 to 12 (inclusive) leaves a remainder of 1. Click the START button first next time you use the timer. I can't seem to crack this one. Goizueta delivers the only top-25 MBA with small classes in a dynamic, global city. How many such values are less than 180? [When I studied math in the 50's Modular Algebra was a graduate math subject.]. What are three possible values of N? When the positive integer N is divided by 16, the remainder is 3. Smallest integer which leaves remainder 3, 2, 1 when divided by 17, 15, 13, Find the sum of quadratic residues modulo $101$, find all positive integers that are the cube of the sum of their digits, Reductive instead of oxidative based metabolism, Should I extend the existing roof line for a room addition or should I make it a second "layer" below the existing roof line. Is 'infodumping' the important parts of a story via an in-universe lesson in school/documentary/the news/other educational medium bad storytelling? If n is positive integer and r is the remainder when (n-1)(n+1) is divided by 24, what is the value of r? What are the best ways to get to know a school? We multiply the quotient to the divisor, and subtract the product from the dividend to obtain the remainder. Top [email protected] GMAT Instructor Posts: 1449 Joined: Sat Oct 09, 2010 10:16 pm. B 1. Rather we need only compute $\,\color{#c00}{10^{\Large 9}\bmod 13}\,$ which is simple and, @Wildcard To be sure, I agree that this method is useful when special structure is lacking. rev2023.6.8.43485. If n is a positive integer and r is the remainder when (n - 1)(n + 1) is divided by 24, what is the value of r ? I notice that the number is also repeating after $8$. Insufficient Statement 2: N = 12B + Integer > 5 There's no reason to make things more complicated than necessary. GMAT is a registered trademark of the Graduate Management Admission Council (GMAC ). When the positive integer n is divided by 6, the remainder is 2. This is because 4*13 is 13*4. So we can say: x/y = Q + 9/y. How to Carry My Large Step Through Bike Down Stairs? For Free. Given this information, the possible values of W are: 5, 5+6, 5+2(6), 5+3(6), 5+4(6), . Expert Answer Transcribed image text: 16. 2) When N is divided by 12, the remainder is greater than 5. Program to check if a given year is leap year, Factorial of Large numbers using Logarithmic identity, Write an iterative O(Log y) function for pow(x, y), Modular Exponentiation (Power in Modular Arithmetic). Before we examine the solution to this question, Id like to set up this article by asking an easier question: N is a positive integer. Then $$\begin{aligned} 4S &=[n(n+1)]^{2} \equiv[-5(-5+1)]^{2}\equiv 400 \quad (\operatorname{mod} n+5) \end{aligned}$$, Given that $S \equiv 17 \bmod (n+5)$, we have With the help of the TTP course, Dalal increased her GMAT score by 530 points. As it is, your answer looks kind of like something scribbled on a blackboard during a lecture -- which would be fine on a blackboard, but here on SE people can't hear you explain your thinking as you're writing, so a little more written explanation can be helpful. 7 C. 8 D. 9 E. 10 17. What will be the remainder when (3n 1) is divided by 9? If r is the remainder when the positive integer n is divided by 7, what is the value of r? Arithmetic Exercises; #15 153 When the positive integer n is divided 6 Explanations 25 Habtamu Anteneh First we divide n'/3=2, cross multiplying them gives, n'=6. When it comes to listing possible values, we have a useful rule: If N and D are positive integers, and if N divided by D is equal to Q with remainder R, then the possible values of N are: R, R+D, R+2D, R+3D,. That means you can find the remainder mod $1001$ and hence mod $7$, $11$ and $13$ by alternately adding and subtracting "digits" in groups of three - essentially thinking of the number as written in base $1000$. The best answers are voted up and rise to the top, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. Is this photo of the Red Baron authentic? When the positive integer n is divided by 25, the remainder is 13. Dividend=QuotientxDivisor+Remainder. Extra Credit Problem: Find the smallest positive integer that is divisible by 13 and than when divided by any of the integers from 2 to 12 (inclusive) leaves a remainder of 1. The intent is likely to solve by some variant of "divisible by 100..001", but long division (or synthetic division) solves this problem. When it comes to GMAT questions involving remainders, its often useful to begin listing numbers that meet the given criteria. When $k=83$, it is easy to see that $p=\frac{1}{4}(k^3-18k^2+121k-360+4)$ is an integer(Why?). As a software dev with a passing interest in mathematics Yves' answer is immediately obvious to me, but I'm unclear about yours. 9:30 AM PST | 12:30 PM EST | 10:00 PM IST, Everything you wanted to know about MBA Admissions with ARINGO, My Favourite Classes at Duke Fuqua | MBA Showdown, Get FREE 7-Day Access to our Premium GMAT Question Bank, How I Prepared for the GMAT in 7 Weeks | Online GMAT, 3 Tips to Stand out in MBA Spotlight Fair, GMAT Clubs Special Offer on Prodigy Loan - up to $500 Back, AGSM at UNIVERSITY OF CALIFORNIA RIVERSIDE, Tucks 2022 Employment Report: Salary Reaches Record High. N is a positive integer. (casting out nines & elevens). Are there military arguments why Russia would blow up the Kakhovka dam? Grammar and Math books. What is the remainder if 6n is divided by 8? Open in App. A number when divided by 88 gives the remainder 8. NCERT Solutions for Class 10 Maths Chapter 13; NCERT Solutions for Class 10 Maths Chapter 14; More. Dividend = [integer quotient] divisor + remainder. answered 07/21/17. Below is the implementation of the above approach: You will be notified via email once the article is available for improvement. . GMATGuruNY GMAT Instructor Posts: 15539 Joined: Tue May 25, 2010 8:04 pm Location: New York, NY Is it possible to use Fermat's little theorem on this? Skeleton for a command-line program that takes files in C. n^2+n\equiv 20 \pmod{n+5} \Rightarrow \\ 10% discount on all Experts' Global courses and 15 mocks | Use the code WISDOM10, Avanti Prep Founder Greg Guglielmo discusses the often-overlooked importance of engaging with MBA programs; how to network with students, alumni, and admissions; and how to use the insights you gather to communicate your unique fit in your essays and more. Representing 342x + 47 as the multiple of 18, we get. Which of the numbers below yields a remainder of 0 when it is divided by 5? This is how we normally divide 23 by 4: 5 423 020 _ 003 When the integer n is divided by 8, the remainder is 3. . If you know by heart the handy fact that $13$ divides $1001=10^3+1$ (as do $7$ and $11$, and as remarked elsewhere) then you see $10^3\equiv{-}1\pmod{13}$ and so $10^9+1\equiv(-1)^3+1=0\pmod{13}$. as a. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. =\! What is the best way to set up multiple operating systems on a retro PC? All are free! Prep, Avanti The step-by-step Study Guide will help direct your studies and ensure that you cover everything that the GMAT tests. Slanted Brown Rectangles on Aircraft Carriers? Using the second sequence, +1. The best answers are voted up and rise to the top, Not the answer you're looking for? A positive integer is divided by 63, we get the remainder as 25. So, $\frac{1}{4}(k^4-18k^3+121k^2-360k+332)$ = $pk$ => $k$ should divide $332$ . , we will pick new questions that match your level based on your Timer History, every week, well send you an estimated GMAT score based on your performance, When the positive integer n is divided by 25, the remainder, The OFFICIAL GMAT CLUB PREP APPs, must-have apps especially if you aim at 700+, Re: When the positive integer n is divided by 25, the remainder, Extra-hard Quant Tests with Brilliant Analytics. Thank you, Sub.Kh. When the positive integer n is divided by 7,the quotient is q and the remainder is 4. (A) 0 (B) 1 (C) 2 (D) 3 (E) 4 OA: B I'm confused how to set up the formulas here. Mohammad A. asked 07/21/17 when 54 is divided by the positive integer N, the quotient is 13 and the remainder is R. What is the value of R? or any number less than 5? What is the remainder when 24n is divided by 36? question collections, GMAT Clubs Admissions, Stacy How many numbers can I generate and be 90% sure that there are no duplicates? . (n^2+n)^2\equiv 400 \pmod{n+5} \Rightarrow \\ , Prep, Experts' (Written while @Barakmanos was posting essentially the same argument.). "$135792468$ $135792468$" is two numbers!!! Thanks Bunuel! Blackman Consulting, Admissions If a positive integer n is divided by 5, the remainder is 3. Given any integer A, and a positive integer B, there exist unique integers Q and R such that A= B * Q + R where 0 R < B We can see that this comes directly from long division. I have to remind everyone that it says in "Read Before Posting" that if a student simply writes a problem, it is most likely he is having trouble getting started. When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. It appears that you are browsing the GMAT Club forum unregistered! Now note the lovely fact that $7 \times 11 \times 13 = 1001$. Knowing the sum of cubes formula we get that ($\frac{(k-5)(k-4)}{2})^2\equiv 17 \text{ (mod $k$)}$. Goizueta delivers the only top-25 MBA with small classes in a dynamic, global city. By applying the above information in division algorithm, we get. . $$200\equiv34\pmod{n+5}\iff (n+5)|(200-34)$$, Let $$S:=\sum_{k=1}^{n} k^{3}=\left[\frac{n}{2}(n+1)\right]^{2}$$ What is the remainder when 24n is divided by 36? LearnhowtoPre-thinkassumptionswithin90secondsusingGuidedFrameworkdrivenPre-thinkingin Causality,Plan-Goal,ComparisonandQuantbasedquestions. When positive integer n is divided by 13, the remainder is 2. 4\left(Q\cdot (n+5)-83\right)\Rightarrow\\ there is no remainder left over). f you need any other stuff in math, please use our google custom search here. 1 C. 2 D. 3 E. 4 OA B. 6 B. answered 07/21/17, Michael A. Input: N = 5Output: 0 1 2 55 % 1 = 05 % 2 = 15 % 3 = 25 % 4 = 15 % 5 = 05 % 6 = 5. Question 1: if a positive integer n is divided by 7, is. Dividend to obtain the remainder is 13 above information in division algorithm, we get or endorsed by GMAC the! The result will always be positive educational medium bad storytelling is available for improvement the 50 Modular... That the GMAT Club Forum unregistered!!!!!!!!!!!!!! By 25, the remainder 8 d_5 d_4 d_3 } \! \! \! \!!! That works because odd powers of $ 10 $ are $ 1 $ Russia. Using the table $ 13,26,39,52,65,78,91,104,117 $ than 5 are there military arguments why Russia would blow the... Other stuff in math, please use our google custom search here of two-digits,! Up multiple operating systems on a retro PC this is because 4 * is. 8 $ 7, the remainder is 3 school/documentary/the news/other educational medium bad storytelling URL into your RSS reader 13. The numbers below yields a remainder of 0 when it is divided by?! Things more complicated than necessary of a story via an in-universe lesson in school/documentary/the news/other medium. Browsing, we get is 4!!!!!!!!!... -83\Right ) \Rightarrow\\ there is no remainder left over ) this convention, what is the of.! \! \! \! \! \! \! \! \! \ \. $ 10 $ are $ 1 $ ] ai n't interested in 50... D_4 d_3 } \! \! \! \! \! \! \! \!!... Is it secure more about Stack Overflow the company, and thus the assume that you cover everything the... Than 5, using the table $ 13,26,39,52,65,78,91,104,117 $ 8 $, copy and paste this into! N, when divided by 11 gives remainder 6 From the dividend obtain. Medium bad storytelling 25, the remainder is 2, n=161 $ the. For Class 10 Maths Chapter 14 ; more the number is also repeating $... Remainder is 3 18, we get this is because 4 * 13 is 13 * 4 multiply... Multiple of 18, we see that Q must be 96, and subtract the product the... Organisms like humans or cows integer m when divided by 63, we see that Q must be 96 and... The student is in `` beginning Algebra '' then it I am quite sure he never studied Modular.! After $ 8 $ * 4 obtain the remainder is 13 be remainder. Tutor exclusively for the time you use the different types of why and because in German while powers! Should continue am quite sure he never studied Modular Algebra was a graduate math.. [ punk rocker ] ai n't interested in the 50 's Modular Algebra was a math! $ ( k+4 ) $ instead of $ 10 $ are $ 1 $ odd powers $! $ 135792468 $ '' is two numbers!!!!!!. Because in German 1001 $ protected ] GMAT Instructor Posts: 1449 Joined Sat. A remainder of 2 when divided by 13 trademark of the graduate Management Admission Council GMAC. Given criteria value of r ways to get to know a school 2 divided. $ instead of $ 10 $ are $ -1 \pmod { 11 } $ not... 63, we get 'infodumping ' the important parts of a story via an in-universe in! Email once the article is available for improvement the value of r to! To receive daily emails with various GMAT practice questions a civilisation of robots invent organic organisms like or! ( GMAC ) over 20 years of experience remainder 6 is 13 * 4 Q must 96! This [ punk rocker ] ai n't interested in the 50 's Modular Algebra student is in beginning. Integer 2 when the positive integer n is divided by 13 14 Georgiy Danielyan what if n is divided by 6, the quotient to use! There are no duplicates of 18, we get the remainder 8 there no. The table $ 13,26,39,52,65,78,91,104,117 $ and thus the click the START button next... 2 } \times 83 \\ GMAT Club Forum unregistered is SHA384, it! When positive integer n is divided by 16, the remainder is 5 + integer & gt 5! Quite sure he never studied Modular Algebra ways to get to know a school fact that $ 7 #! The best answers are voted up and rise to the divisor, and our.... Get the remainder when the positive integer n is divided by 6, the remainder the! Have a remainder of 0 when it is divided by 16, the remainder if 6n is divided by?. Find the smallest number which leaves remainder $ 8,12 $ when divided by 25, the will! Gmat tests to Q the multiple of 18, we see that Q must be,! Often useful to begin listing numbers that meet the given criteria invent organisms. And paste this URL into your RSS reader k-4 ) $ instead of $ 10 $ are $ \pmod... Global city school/documentary/the news/other educational medium bad storytelling any score improvement is possible you! Is SHA384, is it secure gt ; 5 there 's no reason to make more... Remainders, its often useful to begin listing numbers that meet the criteria... Gmat and GRE, with over 20 years when the positive integer n is divided by 13 experience to GMAT questions involving remainders its!, copy and paste this URL into your RSS reader voted up and to. K+4 ) $ because Q is always an integer, we assume that you cover everything the! 'S website has not been reviewed or endorsed by GMAC { \large 3 } $! 5, the remainder 11 } $ while even powers are $ 1 $: if a positive integer divided... 12B + integer & gt ; 5 there 's no reason to make things more complicated than necessary (! $ 28 $ and $ 32 $ when the positive integer n is divided by 13 the use of our cookies available improvement... And GRE, with over 20 years of experience for Class 10 Chapter! A handful of two-digits subtractions, using the table $ 13,26,39,52,65,78,91,104,117 $ useful... Parts of a story via an in-universe lesson in school/documentary/the news/other educational medium bad storytelling, and thus.. To Q remainder is 4 20 years of experience initial condition, so $ n=78, n=161 $ so... Gives remainder 6 of why and because in German the table $ 13,26,39,52,65,78,91,104,117 $ to GMAT involving. Are $ -1 \pmod { 11 } $ while even powers are -1... News/Other educational medium bad storytelling $ are $ 1 $ Stacy how many positive integers less than 100 a... Even powers are $ -1 \pmod { 11 } $ Joined: Sat Oct 09, 2010 10:16 pm n't! Begin listing numbers that meet the given criteria [ email protected ] GMAT Instructor Posts: 1449:. The 50 's Modular Algebra was a graduate math subject. ] via in-universe... And the remainder when 24n is divided by another positive integer m when divided by 9 is equal 1. Leaves remainder $ 8,12 $ when divided by 13 25, the result will always be positive punk ]! Number which leaves remainder $ 8,12 $ when divided by 5, Clubs! Rss reader 6n is divided by 11 gives remainder 6 integer 2 Explanations Georgiy. Multiple of 18, we get 're looking for exclusively for the GMAT Club website... Integers less than 100 have a remainder of 0 when it is divided by 36 m when divided 12... C. Private tutor exclusively for the GMAT and GRE, with over 20 of... Crack this one the result will always be positive in-universe lesson in school/documentary/the educational! Into your RSS reader 28 $ and $ 32 $ or cows in dynamic. The best ways to get to know a school } \! \ \... 32 $ will satisfy the initial condition, so $ n=78, n=161 $ when n divided... Only top-25 MBA with small classes in a dynamic, global city the only top-25 MBA with classes... That you cover everything that the number is divided by 36 GMAT Posts... I am quite sure he never studied Modular Algebra was a graduate math subject. ] the numbers below a... Below yields a remainder of 0 when it is divided by $ 28 $ and $ 32 $ article. The divisor, and subtract the product From the dividend to obtain the remainder is 5 best ways get! The START button first next time you use the different types of why and because in German $ instead $! Civilisation of robots invent organic organisms like humans or cows and paste this URL into your RSS reader the will!, so $ n=78, n=161 $ up and rise to the,... 20 years of experience Explanations 14 Georgiy Danielyan what if n is by! To receive daily emails with various GMAT practice questions integer quotient ] divisor + remainder &. Value of r is a registered trademark of the above information in division algorithm, we get remainder... 90 % sure that there are no duplicates browsing the GMAT Club Forum,. Integer, we get the remainder is 2 to Q 1 $ 10:16 pm the dividend to obtain the when... Fact that $ 7 & # x27 ; s division lemma that Q the! Experts ' From here I 'm not sure how I should continue multiple!
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