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28 Jul 2017, 01:40
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
58% (02:16) correct
43%
(02:22)
wrong
based on 120
sessions
History
Date
Time
Result
Not Attempted Yet
The number 2135, when divided by a positive integer n, leaves a remainder r. What is the value of n?
(1) The number 2315, when divided by n, also leaves the same remainder r .
(2) The number 2585, when divided by n, also leaves the same remainder r .
(1) The number 2315, when divided by n, also leaves the same remainder r .
(2) The number 2585, when divided by n, also leaves the same remainder r .
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
Luckisnoexcuse
Current Student
Joined: 18 Aug 2016
Last visit: 31 Mar 2026
Posts: 510
Given Kudos: 198
Concentration: Strategy, Technology
Schools: Kenan-Flagler '20 (M)
GMAT 1: 630 Q47 V29
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28 Jul 2017, 02:13
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Bunuel
Bunuel
2135
If
n= 2 then r = 1
n= 3 then r = 2
n= 4 then r = 3
n= 6 then r = 5
n= 8 then r = 1
n= 9 then r = 2
(1) 2315 = pn + r
if
n= 2 then r = 1
n= 3 then r = 2
n= 4 then r = 3
Not sufficient
(2) 2585
if
n=2 then r = 1
n=3 then r = 2
Not sufficient
On combining also not sufficient
E
22 Sep 2017, 00:07
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Theory: If two numbers, each divided by n, produce same remainder, then their difference will be multiple of n.
Stmt-1: The difference between 2135 and 2315 is 180. So, n could be any multiple of 10 between 10 and 180 inclusive. Not sufficient
Stmt-2: The difference between 2135 and 2585 is 450. So, n could be any multiple of 10 between 10 and 450 inclusive. Not sufficient
1+2: HCF of 180 and 450 is 90. So, n could be any multiple of 10 between 10 and 90 inclusive, i.e., 10, 20,...., 90. Not sufficient
Answer: E
Stmt-1: The difference between 2135 and 2315 is 180. So, n could be any multiple of 10 between 10 and 180 inclusive. Not sufficient
Stmt-2: The difference between 2135 and 2585 is 450. So, n could be any multiple of 10 between 10 and 450 inclusive. Not sufficient
1+2: HCF of 180 and 450 is 90. So, n could be any multiple of 10 between 10 and 90 inclusive, i.e., 10, 20,...., 90. Not sufficient
Answer: E
