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What is the remainder when 100 is divided by 30?
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12 Mar 2016, 06:30
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What is the remainder when 100 is divided by 30? A. 10 B. 0 C. 10 D. 15 E. 20 * A solution will be posted in two days. Bunuel s note: Source cannot be from OG because remainder questions are limited to positive integers on the GMAT. Because of this one can ignore this question altogether and move on.
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Re: What is the remainder when 100 is divided by 30?
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12 Mar 2016, 06:37
MathRevolution wrote: What is the remainder when 100 is divided by 30?
A. 10 B. 0 C. 10 D. 15 E. 20
* A solution will be posted in two days. Hi,
If we know this RULE, we can answer the answer easily..
RULE REMAINDER is always positive....
here \(100 = 30*310\)so remainder is 10, which is not VALID answer \(100= 30*4+20..\) Now th eremainder is 20, a positive quantity ans 20 E
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Re: What is the remainder when 100 is divided by 30?
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05 Aug 2018, 10:48
Since you simplified the fractions, the remainder is also simplified. To get the original remainder you need to multiply the current remainder (i.e. 1) with the number that you simplified with (i.e. 10) Hence, now the remainder is 10 A remainder cannot be negative. subtract the negative remainder from the divisor to get the correct remainder =30  10 =20 Hence answer is 20 P.S :  You can try the above with an example such as 60/25.
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Re: What is the remainder when 100 is divided by 30?
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14 Mar 2016, 17:59
What is the remainder when 100 is divided by 30? A. 10 B. 0 C. 10 D. 15 E. 20 > N,q,q,r are integers. p=divisor q=quotient, and r=remainder from N=pq+r, in which 0≤r<p is derived. That is, the remainder has no negative numbers. Thus, 100=(30)(4)+20 > 0≤20<30=30. E is the answer.
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Re: What is the remainder when 100 is divided by 30?
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17 Mar 2016, 00:32
chetan2u wrote: MathRevolution wrote: What is the remainder when 100 is divided by 30?
A. 10 B. 0 C. 10 D. 15 E. 20
* A solution will be posted in two days. Hi,
If we know this RULE, we can answer the answer easily..
RULE REMAINDER is always positive....
here \(100 = 30*310\)so remainder is 10, which is not VALID answer \(100= 30*4+20..\) Now th eremainder is 20, a positive quantity ans 20 Ehey chetan2u I too marked D but with a hesitation.. I remember in my class 6 my teacher telling me that Remainder is always less than or equal to zero and divisor must be greater than than the remainder here remainder is positive => YES but it isn't < the divisor.. AM i missing something? regards
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Re: What is the remainder when 100 is divided by 30?
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28 Apr 2017, 16:40
What is the remainder when 100 is divided by 30? A. 10 B. 0 C. 10 D. 15 E. 20
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Re: What is the remainder when 100 is divided by 30?
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28 Apr 2017, 19:21
mkrishnabdrr wrote: What is the remainder when 100 is divided by 30? A. 10 B. 0 C. 10 D. 15 E. 20 The main point here is that the remainder is always POSITIVESo don't get trapped in 100=30*310 and take 10 as remainder. The remainder will be 100=120+20=30*4+20... 20.. E
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Re: What is the remainder when 100 is divided by 30?
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28 Apr 2017, 19:25
Why ×4? Why not ×5 or ×6? Please give kudos, help me unlock Gmatclub tests.
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Re: What is the remainder when 100 is divided by 30?
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28 Apr 2017, 19:48
When we are calculating remainders and we cancel out any signs/common terms it is imperative to add back the same to the final remainder to arrive at the final solution. e.g remainder of 10/4 can be simplified to 5/2 (by cancelling out 2)>5/2 gives us a remainder of 3 Hence the final remainder is 6 (3*2) <please note how 2 was multiplied back after arriving at the remainder by simplification Applying the same concept in this problem, we can cancel the common term 1. In this case after removing the negative signs, Remainder of 100 divided by 30 is 10 and a negative remainder of 20 (Concept on Negative remainder discussed in the link/post below) Now considering we had cancelled out the negative signs we need to multiply the same back. Thus the final remainders are 10 and 20. Considering by definition remainders are positive (0<=r<d, where r=remainder and d=divisor), hence the solution is 20. Please refer the below discussion for negative remainders https://www.veritasprep.com/blog/2014/0 ... thegmat/ Kudos please if the post helped !



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Re: What is the remainder when 100 is divided by 30?
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Re: What is the remainder when 100 is divided by 30?
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13 Aug 2017, 05:26
mkrishnabdrr wrote: Why ×4? Why not ×5 or ×6? Please give kudos, help me unlock Gmatclub tests. If we take x5, then remainder will be 50. But this is not valid because remainder cannot be greater than divisor
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Re: What is the remainder when 100 is divided by 30?
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19 Aug 2017, 23:56
Do we have some rule on taking modulus of divisor? MathRevolution wrote: What is the remainder when 100 is divided by 30?
A. 10 B. 0 C. 10 D. 15 E. 20
> N,q,q,r are integers. p=divisor q=quotient, and r=remainder from N=pq+r, in which 0≤r<p is derived. That is, the remainder has no negative numbers. Thus, 100=(30)(4)+20 > 0≤20<30=30. E is the answer.



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Re: What is the remainder when 100 is divided by 30?
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04 Sep 2017, 16:47
remainder is always positive in such I case I prefer to use modular arithmetic , if it's not too complicated clockbased method is sufficient One important thing to remember ff the dividend is positive we step clockwise, if it's negative we step counterclockwise 100 is 3 time 30 and leaves us with 10, so start counting counterclockwise from 29 ( after 3 full clock circles) 29 28 27 26 25 24 23 22 21 20



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Re: What is the remainder when 100 is divided by 30?
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05 Aug 2018, 08:19
When \(100\) is divided by \(30\), what is the remainder?
A. 20 B. 10 C. 0 D. 10 E. 20



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Re: What is the remainder when 100 is divided by 30?
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05 Aug 2018, 08:49
ammuseeru wrote: When \(100\) is divided by \(30\), what is the remainder? Since the remainder is always positive, equation can not be 100 = (30)*3  10 Therefore, 100 = (30)*4 + 20 Remainder = 20 Hence, E.
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Re: What is the remainder when 100 is divided by 30?
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05 Aug 2018, 09:11
ammuseeru MathRevolution KarishmaB Bunuel pushpitkc pikolo2510 chetan2u niks18Quote: When \(100\) is divided by \(30\), what is the remainder? Why we can not write: \(100\) is divided by \(30\) as \(100\) is divided by \(30\) and get remainder as 1 after simplifying fractions?
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Re: What is the remainder when 100 is divided by 30?
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05 Aug 2018, 18:30
Hiii Whenever we cancel out common terms before dividing to find reminder, always remember to multiply that common factor to get the actual remainder. Please see this. Attachment:
IMG20180806WA0000_1533518866835.jpg [ 73.05 KiB  Viewed 436 times ]
adkikani wrote: ammuseeru MathRevolution KarishmaB Bunuel pushpitkc pikolo2510 chetan2u niks18Quote: When \(100\) is divided by \(30\), what is the remainder? Why we can not write: \(100\) is divided by \(30\) as \(100\) is divided by \(30\) and get remainder as 1 after simplifying fractions?
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Re: What is the remainder when 100 is divided by 30?
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06 Aug 2018, 03:38
gmatbusters \(\frac{100}{30}\) isnt this fraction valid ? division of two negative numbers yields positive number, right ? IF SO, then WHY \(\frac{100}{30}\)= \(3.10\) isnt it correct answer arithmeticallymathematically !?
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Re: What is the remainder when 100 is divided by 30?
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06 Aug 2018, 04:18
Please see my detailed explanation, how to find remainder when we cancel out the common terms. dave13 wrote: gmatbusters \(\frac{100}{30}\) isnt this fraction valid ? division of two negative numbers yields positive number, right ? IF SO, then WHY \(\frac{100}{30}\)= \(3.10\) isnt it correct answer arithmeticallymathematically !? Posted from my mobile device
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Re: What is the remainder when 100 is divided by 30?
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06 Aug 2018, 04:24
gmatbusters wrote: Please see my detailed explanation, how to find remainder when we cancel out the common terms. dave13 wrote: gmatbusters \(\frac{100}{30}\) isnt this fraction valid ? division of two negative numbers yields positive number, right ? IF SO, then WHY \(\frac{100}{30}\)= \(3.10\) isnt it correct answer arithmeticallymathematically !? Posted from my mobile device gmatbusters your explanation is DETAILED. thank you for taking time to explain. But I cant see those DETAILS its impossible for me to decode your handwritten DETAILS
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