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14 Nov 2023, 10:00
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23%
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At a certain reception, punch is served in glasses of two sizes, small and large. If a bowl of a certain size, when filled with punch will 24 small glasses or 15 large glasses, then 10 such bowls, when filled with punch, will fill 72 small glasses and how many large glasses?
A) 90
B) 105
C) 120
D) 135
E) 150
A) 90
B) 105
C) 120
D) 135
E) 150
06 Dec 2023, 07:24
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24 small glass = 1 bowl, so 72 small glass = 3 bowls
Now there are 7 bowls for large glasses.
1 bowl = 15 large glasses, so 7x15= 105 large glasses
Ans = 105 glasses option "B"
Now there are 7 bowls for large glasses.
1 bowl = 15 large glasses, so 7x15= 105 large glasses
Ans = 105 glasses option "B"
General Discussion
14 Nov 2023, 11:32
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sahildesai360
At a certain reception, punch is served in glasses of two sizes, small and large. If a bowl of a certain size, when filled with punch will 24 small glasses or 15 large glasses, then 10 such bowls, when filled with punch, will fill 72 small glasses and how many large glasses?
A) 90
B) 105
C) 120
D) 135
E) 150
A) 90
B) 105
C) 120
D) 135
E) 150
Let's assume that the volume of the bowl = LCM (24, 15) = \(8 * 3 * 5\)
As the bowl of punch can fill \(15\) large glasses, the volume of each large glass = \(8\) cubic units, and the volume of each small glass = \(5\) cubic units.
The volume of punch in \(10\) bowls = \(8 * 3 * 5 * 10 = 1200\) cubic units.
The volume of punch that can be accommodated by \(72\) small glasses = \(72 * 5 = 360\) cubic units.
Remaining volume of punch= \(1200 - 360 = 840\) cubic units
Number of large glasses required to fill \(840\) cubic units of punch = \(\frac{840}{8} = 105\)
Option B
