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The positive integers m and n leave remainders of 2 and 3, r
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14 Apr 2018, 02:41
14 Apr 2018, 02:41
Expert Reply
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Question Stats:
64% (01:19) correct
35% (01:18) wrong based on 45 sessions
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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
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Re: The positive integers m and n leave remainders of 2 and 3, r
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20 Apr 2018, 03:53
20 Apr 2018, 03:53
1
Identify few members of set for \(m\) and \(n\)
\(m\) could be \({8,14,20}\)
\(n\) could be \({3,9,15}\)
Given \(m>n\) a pair of \(m,n\) could be \((8,3);(14,3);(20,15)\)
hence \(m-n =5,11\)
\(\frac{5}{6}\) or \(\frac{11}{6}\) gives a remainder of \(5\)
option E
\(m\) could be \({8,14,20}\)
\(n\) could be \({3,9,15}\)
Given \(m>n\) a pair of \(m,n\) could be \((8,3);(14,3);(20,15)\)
hence \(m-n =5,11\)
\(\frac{5}{6}\) or \(\frac{11}{6}\) gives a remainder of \(5\)
option E
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Re: The positive integers m and n leave remainders of 2 and 3, r
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08 Jun 2021, 14:55
08 Jun 2021, 14:55
Carcass 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
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Let's test out some values of m and n that satisfy the given information.
m leaves are remainder of 2 when divided by 6
So, m COULD equal 8
n leaves are remainder of 3 when divided by 6
So, n COULD equal 3
What is the remainder when m – n is divided by 6?
So, m - n = 8 - 3 = 5, and when we divide 5 by 6, we get 0 with remainder 5
Answer: E
Cheers,
Brent
