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x and h are both positive integers. When x is divided by 7,

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

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x and h are both positive integers. When x is divided by 7, [#permalink] New post 12 Aug 2018, 15:45
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Question Stats:

71% (00:34) correct 28% (00:54) wrong based on 7 sessions
x and h are both positive integers. When x is divided by 7, the quotient is h with a remainder of 3. Which of the following could be the value of x?

(A) 7
(B) 21
(C) 50
(D) 52
(E) 57
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: x and h are both positive integers. When x is divided by 7, [#permalink] New post 17 Aug 2018, 16:03
Expert's post
Explanation

Division problems can be interpreted as follows: dividend = divisor × quotient + remainder.

This problem is dividing x by 7, or distributing x items equally to 7 groups. After the items are distributed among the 7 groups, there are 3 items left over, the remainder. This means that the value of x must be some number that is 3 larger than a multiple of 7, such as 3, 10, 17, 24, etc.

The only answer choice that is 3 larger than a multiple of 7 is 52.
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Sandy
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Re: x and h are both positive integers. When x is divided by 7,   [#permalink] 17 Aug 2018, 16:03
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x and h are both positive integers. When x is divided by 7,

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