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19 Jan 2024, 02:30
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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:
75%
(hard)
Question Stats:
59% (02:12) correct
41%
(02:14)
wrong
based on 206
sessions
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Not Attempted Yet
When the members of group A are divided into subgroups of 13 people, m subgroups are formed, and no one is left over. When the members of group B are divided into subgroups of 11 people, n subgroups are formed, with 8 people left over. What is the total number of members in group B?
(1) m = n
(2) The total numbers of members in groups A and B are the same.
(1) m = n
(2) The total numbers of members in groups A and B are the same.
When the members of group A are divided into groups of 13 people, m subgroups are formed. When the members of group B are divided into groups of 11 people, n subgroups are formed, and 8 people are left over. What is the number of members of group B?
1) m = n
2) The numbers of members of groups A and B are the same.
1) m = n
2) The numbers of members of groups A and B are the same.
09 Jul 2024, 22:19
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Question stems provide with following information:
Assuming that there \(x\) people in group A then,
\(x = 13m + 0\) (No one is left over and m subgroups are formed of 13 people.)
Assuming that there \(y\) people in group B then,
\(y = 11n + 8\) (8 people left over and n subgroups are formed of 11 people.)
We need to find \(y\).
Statement-1
We are given that m=n,
But that doesn't narrow down the possible number of total members of group B
Ex.
\(m = n = 1\)
\(x = 13, y = 19 \)
\(m = n = 2 \)
\(x = 26, y = 30 \)
Not sufficient.
Statement-2
\(x = y\)
\(13m = 11n + 8\)
Multiple values of m and n are possible that satisfy this equation.
\(m = 4, n = 4\)
\(m = 15, n = 17\)
Not sufficient
Combining statement-1 and statement-2,
\(13m = 11n + 8\)
and using \(m = n\),
\(13n = 11n + 8\)
\(n = 4\)
\(y = 11*4 + 8 = 52\)
Only 1 value of y is possible.
Sufficient
So answer should be C
Assuming that there \(x\) people in group A then,
\(x = 13m + 0\) (No one is left over and m subgroups are formed of 13 people.)
Assuming that there \(y\) people in group B then,
\(y = 11n + 8\) (8 people left over and n subgroups are formed of 11 people.)
We need to find \(y\).
Statement-1
We are given that m=n,
But that doesn't narrow down the possible number of total members of group B
Ex.
\(m = n = 1\)
\(x = 13, y = 19 \)
\(m = n = 2 \)
\(x = 26, y = 30 \)
Not sufficient.
Statement-2
\(x = y\)
\(13m = 11n + 8\)
Multiple values of m and n are possible that satisfy this equation.
\(m = 4, n = 4\)
\(m = 15, n = 17\)
Not sufficient
Combining statement-1 and statement-2,
\(13m = 11n + 8\)
and using \(m = n\),
\(13n = 11n + 8\)
\(n = 4\)
\(y = 11*4 + 8 = 52\)
Only 1 value of y is possible.
Sufficient
So answer should be C
pratiksha1998
Joined: 11 Aug 2021
Last visit: 22 Mar 2026
Posts: 98
Own Kudos:
Given Kudos: 16
Location: India
Concentration: General Management, Strategy
Schools: Goizueta '25
GMAT 1: 600 Q47 V27
20 Nov 2024, 11:03
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Is there any method to know for sure that more values of m and n are possible for statement 2? During time constraints it is difficult to try and put values for m and n and see if there are multiple combinations possible.
