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Difficulty:
95%
(hard)
Question Stats:
46% (02:51) correct
54%
(02:27)
wrong
based on 85
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If 86,868,686 is divided by 6,868, what is the remainder?
A. 2222
B. 3434
C. 4343
D. 6832
E. 12648
_________________
A. 2222
B. 3434
C. 4343
D. 6832
E. 12648
_________________
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firas92
Current Student
Joined: 16 Jan 2019
Last visit: 24 Jul 2026
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Concentration: General Management
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GMAT 1: 740 Q50 V40
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Products:
\(\frac{86868686}{6868} = \frac{86*1010101}{68*101} = \frac{86*10001*101}{68*101}\)
So \(R[\frac{86868686}{6868}] = R[\frac{86*10001}{68}]*101\)
\(R[\frac{86*10001}{68}] = R[\frac{86}{68}]*R[\frac{10001}{68}] = 18*5 = 90\)
But since Remainder is less than divisor, \(R[\frac{86*10001}{68}]=90-68=22\)
So, \(R[\frac{86868686}{6868}]=22*101=2222\)
Answer is (A)
_________________
So \(R[\frac{86868686}{6868}] = R[\frac{86*10001}{68}]*101\)
\(R[\frac{86*10001}{68}] = R[\frac{86}{68}]*R[\frac{10001}{68}] = 18*5 = 90\)
But since Remainder is less than divisor, \(R[\frac{86*10001}{68}]=90-68=22\)
So, \(R[\frac{86868686}{6868}]=22*101=2222\)
Answer is (A)
_________________
General Discussion
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 18 Jan 2020
Last visit: 10 Aug 2026
Posts: 3,095
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
Schools: Cranfield (A) Warwick MiM "23 (M)
Posts: 3,095
Let 86,868,686 = 87,000,000 (approx) and 6,868 = 6900 (approx)
87,000,000/6900 = 12608.7
The closest integer among options = 12648
86,868,686 = (12648)6868 + Remainder
86,868,686 - 86866464 = Remainder
2222 = Remainder
Answer is A
Posted from my mobile device
_________________
87,000,000/6900 = 12608.7
The closest integer among options = 12648
86,868,686 = (12648)6868 + Remainder
86,868,686 - 86866464 = Remainder
2222 = Remainder
Answer is A
Posted from my mobile device
_________________
chipsy
Joined: 05 Oct 2014
Last visit: 01 Sep 2021
Posts: 55
Concentration: Technology, Entrepreneurship
Schools: Tepper '23 Ross '23 McCombs '23 Tuck '23 NUS '23
Schools: Tepper '23 Ross '23 McCombs '23 Tuck '23 NUS '23
Posts: 55
yashikaaggarwal
remainder would be less than 6868.
deep31993
Joined: 16 Dec 2018
Last visit: 24 Jan 2022
Posts: 60
Location: India
Schools: INSEAD Jan'21 Intake (S) LBS '24 (S)
GMAT 1: 710 Q50 V37
WE:Investment Banking (Finance: Venture Capital)
Can this kind of q be expected in Gmat? I disagree
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