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Updated on: 15 Jul 2019, 03:03
Originally posted by Bunuel on 04 Apr 2019, 00:02.
Last edited by Sajjad1994 on 15 Jul 2019, 03:03, edited 1 time in total.
Last edited by Sajjad1994 on 15 Jul 2019, 03:03, edited 1 time in total.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
83% (00:51) correct
17%
(01:00)
wrong
based on 239
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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
(A) 5
(B) 7
(C) 43
(D) 57
(E) 570
Source: Nova GMAT
Difficulty Level: 550
Difficulty Level: 550
eabhgoy
Joined: 12 Apr 2011
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WE:Marketing (Telecommunications)
04 Apr 2019, 02:31
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Bunuel
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.
Updated on: 17 May 2021, 08:27
Originally posted by BrentGMATPrepNow on 12 Mar 2020, 07:04.
Last edited by BrentGMATPrepNow on 17 May 2021, 08:27, edited 1 time in total.
Last edited by BrentGMATPrepNow on 17 May 2021, 08:27, edited 1 time in total.
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Bunuel
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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