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An auditorium contains n seats arranged in 6 rows, each containing e
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02 Mar 2025, 23:39
02 Mar 2025, 23:39
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An auditorium contains n seats arranged in 6 rows, each containing equal number of seats. The last row seats are pulled out and are divided equally among the remaining 5 rows such that each row appears identical after this whole transaction and no seat is left out. What is the minimum value of n?
A. 24
B, 30
C, 48
D. 60
E. 90
A. 24
B, 30
C, 48
D. 60
E. 90
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An auditorium contains n seats arranged in 6 rows, each containing e
[#permalink]
04 Mar 2025, 02:59
04 Mar 2025, 02:59
1
6 rows has n seats
consider that there are m seats in each row
so 6*m = n
last row is removed and the seats are redistributed equally to the remaining 5 rows
so 5*(m + m/5) = n
6m = 5m + 5 and m will come out to be 5
now from the first equation
6*5 = 30
i actually got the answer instantly right when i read that the seats are redistributed equally to the remaining 5 rows and multiplied 5 and 6
option B is right
lemme know if this helps by kudos
consider that there are m seats in each row
so 6*m = n
last row is removed and the seats are redistributed equally to the remaining 5 rows
so 5*(m + m/5) = n
6m = 5m + 5 and m will come out to be 5
now from the first equation
6*5 = 30
i actually got the answer instantly right when i read that the seats are redistributed equally to the remaining 5 rows and multiplied 5 and 6
option B is right
lemme know if this helps by kudos
gmatclubot
An auditorium contains n seats arranged in 6 rows, each containing e [#permalink]
04 Mar 2025, 02:59
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