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The remainder is 57 when a number is divided by 10,000. What is the re

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The remainder is 57 when a number is divided by 10,000. What is the re  [#permalink]

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New post Updated on: 15 Jul 2019, 02:03
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E

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Question Stats:

80% (00:46) correct 20% (01:08) wrong based on 75 sessions

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Originally posted by Bunuel on 03 Apr 2019, 23:02.
Last edited by SajjadAhmad on 15 Jul 2019, 02:03, edited 1 time in total.
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Re: The remainder is 57 when a number is divided by 10,000. What is the re  [#permalink]

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New post 04 Apr 2019, 01:31
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Bunuel wrote:
The remainder is 57 when a number is divided by 10,000. What is the remainder when the same number is divided by 1,000?

(A) 5
(B) 7
(C) 43
(D) 57
(E) 570


If the remainder is 57 when divided by 10,000 then:

X = 10,000n + 57

Now if we divide X by 1000 then

X/1000 = (10,000n+57)/1000 i.e. remainder will still be 57.

Hence D is the correct anwer.
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The remainder is 57 when a number is divided by 10,000. What is the re  [#permalink]

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New post 12 Mar 2020, 06:04
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Bunuel wrote:
The remainder is 57 when a number is divided by 10,000. What is the remainder when the same number is divided by 1,000?

(A) 5
(B) 7
(C) 43
(D) 57
(E) 570


Important: Many integer properties questions can be solved by identifying a value that satisfies the given information

Also important: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc.
For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.

Given: The remainder is 57 when a number is divided by 10,000
This means the number in question COULD be 57 (or 10,057 or 20,057 or 30,057 or....) As you can imagine it's much easier to work with the smallest possible value of 57

What is the remainder when the same number is divided by 1,000?
When 57 is divided by 1,000, the remainder is 57

Answer: D

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Re: The remainder is 57 when a number is divided by 10,000. What is the re  [#permalink]

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New post 17 Mar 2020, 08:59
Bunuel wrote:
The remainder is 57 when a number is divided by 10,000. What is the remainder when the same number is divided by 1,000?

(A) 5
(B) 7
(C) 43
(D) 57
(E) 570

Source: Nova GMAT
Difficulty Level: 550


The number could be 57, and when 57 is divided by 1,000, the remainder is 57.

Answer: D
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Re: The remainder is 57 when a number is divided by 10,000. What is the re   [#permalink] 17 Mar 2020, 08:59

The remainder is 57 when a number is divided by 10,000. What is the re

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