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Re: The positive integers m and n leave remainders of 2 and 3
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07 Feb 2016, 03:15
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BrainLab wrote:
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n. What is the remainder when m – n is divided by 6?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Source: Gmat Math Bible
Hi, since m>n.. i can say that m is 2 more than multiple of 6.. and n is 3 less than a multiple of 6.. so m-n means 2-(-3) =5 more than a multiple of 6.....
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Re: The positive integers m and n leave remainders of 2 and 3
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21 Mar 2016, 08:58
1
BrainLab wrote:
The positive integers m and n leave remainders of 2 and 3, respectively, when divided by 6. m > n. What is the remainder when m – n is divided by 6?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Source: Gmat Math Bible
Use the basic concepts of divisibility. m when divided by 6, will have groups of 6 and 2 leftover. n when divided by 6 will have groups of 6 and 3 leftover. When you subtract n from m, some groups of 6 will get subtracted out, 2 will get subtracted out and 1 more from a group of 6 will get subtracted out. From that groups of 6, only 5 will be leftover. So m - n will have groups of 6 and 5 leftover. Remainder will be 5.
Re: The positive integers m and n leave remainders of 2 and 3
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27 Oct 2016, 05:17
We know, 6*1=6 6*2=12 Lets M= 12 & N= 6 According to question there will be remainder 2 & 3 dividing by 6, So adding remainder with 12 & 6 We get M= 14 & N = 9 which is M>N So, M- N= 14-9= 5 (Ans)
Re: The positive integers m and n leave remainders of 2 and 3
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10 Feb 2018, 10:25
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71% (01:35) correct 
