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When x is divided by 10, the quotient is y with a remainder

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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When x is divided by 10, the quotient is y with a remainder [#permalink] New post 12 Aug 2018, 15:45
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00:00

Question Stats:

83% (00:22) correct 16% (00:00) wrong based on 6 sessions
When x is divided by 10, the quotient is y with a remainder of 4. If x and y are both positive integers, what is the remainder when x is divided by 5?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
[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: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1653 [0], given: 396

CAT Tests
Re: When x is divided by 10, the quotient is y with a remainder [#permalink] New post 17 Aug 2018, 16:03
Expert's post
Explanation

This is a bit of a trick question—any number that yields remainder 4 when divided by 10 will also yield remainder 4 when divided by 5. This is because the remainder 4 is less than both divisors, and all multiples of 10 are also multiples of 5.

For example, 14 yields remainder 4 when divided either by 10 or by 5. This also works for 24, 34, 44, 54, etc.
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Sandy
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Re: When x is divided by 10, the quotient is y with a remainder   [#permalink] 17 Aug 2018, 16:03
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When x is divided by 10, the quotient is y with a remainder

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