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If (x+3)/10 is a positive integer, then the remainder, when x is divid

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If (x+3)/10 is a positive integer, then the remainder, when x is divid  [#permalink]

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New post Updated on: 07 Jun 2017, 05:54
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Question Stats:

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If (x + 3)/10 is a positive integer, then the remainder, when x is divided by 5 is?

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

Originally posted by Mina Satti on 07 Jun 2017, 01:06.
Last edited by Bunuel on 07 Jun 2017, 05:54, edited 2 times in total.
Renamed the topic and edited the question.
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Re: If (x+3)/10 is a positive integer, then the remainder, when x is divid  [#permalink]

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New post 07 Jun 2017, 01:29
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So x +3 = 10k ( k is an integer)
So x= 10k-3 i.e. 7,17,27...
Now divide any of the above number by 5
The remainder wl always be 2

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Re: If (x+3)/10 is a positive integer, then the remainder, when x is divid  [#permalink]

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New post 07 Jun 2017, 01:45
Another way to solve such questions is to take the minimum value of x such that the expression (x+3)/10 is a positive integer.

I can take x = 17, meaning (x+3)/10 = 2.

Hence, when 17 is divided by 5 remainder is 2. Hence C.
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Re: If (x+3)/10 is a positive integer, then the remainder, when x is divid  [#permalink]

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New post 07 Jun 2017, 13:21
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If (x+3)/10 is a positive integer, then the remainder, when x is divid  [#permalink]

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New post 07 Jun 2017, 15:51
x+3/10= int implies x+3 is div by 10

x =10-3 = 7
Possible values of x can be obtained by adding the dividend 10
x= 7,17,27,37
When any possible x is divided by 5; the remainder is always 2.

Option C
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Re: If (x+3)/10 is a positive integer, then the remainder, when x is divid  [#permalink]

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New post 10 Jun 2017, 06:18
Mina Satti wrote:
If (x + 3)/10 is a positive integer, then the remainder, when x is divided by 5 is?

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


Since (x+3)/10 is a positive integer, we can let x = 7, 17, 27, etc.

We see that when any of these values for x is divided by 5, the remainder is 2.

Answer: C
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Re: If (x+3)/10 is a positive integer, then the remainder, when x is divid  [#permalink]

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New post 05 Feb 2019, 19:45
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Re: If (x+3)/10 is a positive integer, then the remainder, when x is divid   [#permalink] 05 Feb 2019, 19:45
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