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# If 2 is the remainder when m is divided by 5, what is the remainder

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Math Expert
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If 2 is the remainder when m is divided by 5, what is the remainder  [#permalink]

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20 Dec 2015, 05:49
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If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?

A. 0
B. 1
C. 2
D. 3
E. 4

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Posts: 8004
Re: If 2 is the remainder when m is divided by 5, what is the remainder  [#permalink]

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21 Dec 2015, 04:06
Bunuel wrote:
If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?

A. 0
B. 1
C. 2
D. 3
E. 4

hi,
If 2 is the remainder when m is divided by 5, m can end with 7 or 2..
so 3m will end with.. 3*7 or 3*2 that is 1 or 6..
therefore any number with last digit 1 or 6 when divided by 5 will always leave 1 as remainder.
ans B
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Re: If 2 is the remainder when m is divided by 5, what is the remainder  [#permalink]

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21 Dec 2015, 04:10
Bunuel wrote:
If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?

A. 0
B. 1
C. 2
D. 3
E. 4

Let's find a number which when divided by 5 leaves remainder 2 = 5+2 = 7

i.e. one possible value of m = 7

value of 3m = 3*7 = 21

when em is divided by 5 then remainder = Rem (21/5) = 1

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Re: If 2 is the remainder when m is divided by 5, what is the remainder  [#permalink]

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21 Dec 2015, 05:33
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.

If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?

A. 0
B. 1
C. 2
D. 3
E. 4

We can put m=5*k+2.
So 3*m=15*k+6 ---> 15*k+6 = 5*(3*m+1) +1 ---> The remainder is 1.

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Re: If 2 is the remainder when m is divided by 5, what is the remainder  [#permalink]

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21 Dec 2015, 06:18
We can say

m=5a+2
.multiplying 3 on both side
3m=15a+6
Now divide by 5 through out m and 15a are multiples of 5 so remainder will be obtained from 6/5 remainder = 1
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Re: If 2 is the remainder when m is divided by 5, what is the remainder  [#permalink]

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21 Dec 2015, 06:43
2 is the remainder when m is divided by 5,
So 'm' will be 2, 7, 12 and so on.

what is the remainder when 3m is divided by 5..
putting all the values of m, we will get 1

Ans:B
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Re: If 2 is the remainder when m is divided by 5, what is the remainder  [#permalink]

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22 Dec 2015, 07:10
1
When 'm' is divided by 5 remainder is 2, also there must be a coefficient, say 'a'
So 'm' can be written as "m=5a+2"
To find remainder when 3m divided by 5, we can write (15a+6)/5
The term 15a being a multiple of 5 gives no remainder hence 6/5 is the only term which gives the remainder 1.
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If 2 is the remainder when m is divided by 5, what is the remainder  [#permalink]

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20 Aug 2016, 19:19
if m/5 leaves a remainder of 2,
then 3m/5 leaves a remainder of 3*2-5=1
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Re: If 2 is the remainder when m is divided by 5, what is the remainder  [#permalink]

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19 Jan 2018, 15:59
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Re: If 2 is the remainder when m is divided by 5, what is the remainder   [#permalink] 19 Jan 2018, 15:59
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