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Updated on: 26 Aug 2021, 01:11
Originally posted by Darknight123 on 25 Aug 2021, 21:56.
Last edited by chetan2u on 26 Aug 2021, 01:11, edited 1 time in total.
Last edited by chetan2u on 26 Aug 2021, 01:11, edited 1 time in total.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
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Question Stats:
58% (02:22) correct
42%
(02:23)
wrong
based on 142
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The integers 573921 and 575713 when divided by a 3 digit number leave the same remainder. What could be that 3 digit number?
A.206
B.274
C.256
D.189
E.219
Posted from my mobile device
A.206
B.274
C.256
D.189
E.219
Posted from my mobile device
DashingNightmare2
Current Student
Joined: 30 May 2021
Last visit: 19 Jun 2022
Posts: 101
Given Kudos: 77
Location: India
Concentration: Marketing, Technology
Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
GPA: 2.96
26 Aug 2021, 00:28
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The integers 573921 and 575713 when divided by a 3 digit number leave the same remainder. What is that 3 digit number?
Difference between 573921 and 575713 =1792(This should be divisible by the 3 digit number)
1792 is divisible by 256
Hence C
Difference between 573921 and 575713 =1792(This should be divisible by the 3 digit number)
1792 is divisible by 256
Hence C
26 Aug 2021, 01:09
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Darknight123
The integers 573921 and 575713 when divided by a 3 digit number leave the same remainder. What is that 3 digit number?
A.206
B.274
C.256
D.189
E.219
Posted from my mobile device
A.206
B.274
C.256
D.189
E.219
Posted from my mobile device
If two numbers, say x and y, are divisible by z, then the sum, x+y, and the difference, x-y, will also be divisible by z.
Say the remainder in each case be w, so 573921-w and 575713-w will be divisible by the 3-digit number, say t.
Also their difference will be divisible by t => 575713-w-(573921-w) or 1792 will be divisible by the 3-digit number, say t.
Now \(1792=2*896=2*2*448=2*2*2*224=2*2*2*2*112=2*2*2*2*2*56=2^8*7=256*7\)
So t could be 896, 448, 224, 112 or 256.
256 is in the choice
The question should be
The integers 573921 and 575713 when divided by a 3 digit number leave the same remainder. What
C
