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Moderator  Joined: 18 Apr 2015
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When the positive integer x is divided by 42, the remainder [#permalink]
Expert's post 00:00

Question Stats: 83% (01:48) correct 16% (00:06) wrong based on 6 sessions
When the positive integer x is divided by 42, the remainder is 19. What is the remainder when x is divided by 7?

A. 0
B. 2
C. 3
D. 4
E. 5
[Reveal] Spoiler: OA

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Director Joined: 20 Apr 2016
Posts: 826
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603 , given: 124

Re: When the positive integer x is divided by 42, the remainder [#permalink]
Carcass wrote:
When the positive integer x is divided by 42, the remainder is 19. What is the remainder when x is divided by 7?

A. 0
B. 2
C. 3
D. 4
E. 5

[Reveal] Spoiler: OA
OA in 24h

Here,

Let x= (42 * Q) + 19 (since dividend/divisor = quotient +reminder ; and Q= any positive number)

x = (42 * 2) +19 =103

since 103/42 gives a quotient 2 and reminder 19.

Now
103/7 gives a quotient 14 and reminder 5

This applies to any positive value of Q, hence reminder when $$\frac{x}{7}$$ will always be 5
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Moderator  Joined: 18 Apr 2015
Posts: 5888
Followers: 96

Kudos [?]: 1154 , given: 5471

Re: When the positive integer x is divided by 42, the remainder [#permalink]
Expert's post

regards
_________________ Re: When the positive integer x is divided by 42, the remainder   [#permalink] 06 Dec 2017, 11:42
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