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# When the positive integer x is divided by 42, the remainder

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Joined: 18 Apr 2015
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When the positive integer x is divided by 42, the remainder [#permalink]  06 Dec 2017, 02:41
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Question Stats:

75% (02:13) correct 25% (00:06) wrong based on 4 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: 762
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Kudos [?]: 522 [0], given: 94

Re: When the positive integer x is divided by 42, the remainder [#permalink]  06 Dec 2017, 07:44
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: 5205
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Kudos [?]: 1053 [0], given: 4711

Re: When the positive integer x is divided by 42, the remainder [#permalink]  06 Dec 2017, 11:42
Expert's post

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

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