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If the positive integer x leaves a remainder of 2 when divided by 8,

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If the positive integer x leaves a remainder of 2 when divided by 8,  [#permalink]

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If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x+9 is divided by 8?

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

Originally posted by ash42 on 14 Aug 2016, 02:31.
Last edited by Bunuel on 26 Feb 2018, 06:38, edited 2 times in total.
Renamed the topic and edited the question.
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Re: If the positive integer x leaves a remainder of 2 when divided by 8,  [#permalink]

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New post 14 Aug 2016, 04:18
1
ash42 wrote:
If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is?

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

Could someone please explain how to go about this question?


This is how I did...

x is a number and leaves a remainder of 2 when divided by 8

x = 8q+2 , here q is quotient.

Now asked to find x+9 values

Sub 8q+2 value in x+9 then we get 8q+11 and now divided this value by 8 , we get 3 as reminder ( 11/8).
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Re: If the positive integer x leaves a remainder of 2 when divided by 8,  [#permalink]

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New post 14 Aug 2016, 11:54
1
if x/8 leaves a remainder of 2,
then (x+6)/8 leaves a remainder of 0,
and (x+9)/8 leaves a remainder of 3
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Re: If the positive integer x leaves a remainder of 2 when divided by 8,  [#permalink]

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New post 18 Aug 2016, 14:28
ash42 wrote:
If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is?

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


x/8 leaves a reminder of 2

(x+9)/8 can be written as x/8 +9/8

x/8 leaves a reminder of 2 and 9/8 will leave a reminder of 1

Total reminder= 2+1= 3
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Re: If the positive integer x leaves a remainder of 2 when divided by 8,  [#permalink]

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New post 18 Aug 2016, 20:46
ash42 wrote:
If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is?

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


"If the positive integer x leaves a remainder of 2 when divided by 8" - means from x balls we make groups of 8 balls each and are left with 2 balls.
When we bring another 9 balls in the mix, we will make 1 more group of 8 balls and now we will have 3 balls remaining.

Answer (D)

Check this concept here: http://www.veritasprep.com/blog/2011/04 ... unraveled/
http://www.veritasprep.com/blog/2011/04 ... y-applied/
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Re: If the positive integer x leaves a remainder of 2 when divided by 8,  [#permalink]

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New post 20 Aug 2016, 10:05
ash42 wrote:
If the positive integer x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is?

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


x = 8q +2
x +9 =8q+2+9
8q+11 this can be furthur written as 8q +8 +3 = 8(q+1)+3

Remainder 3. Ans D.
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Re: If the positive integer x leaves a remainder of 2 when divided by 8,  [#permalink]

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New post 08 Dec 2017, 23:33
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Re: If the positive integer x leaves a remainder of 2 when divided by 8, &nbs [#permalink] 08 Dec 2017, 23:33
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