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Given that there are X boxes and the balls are arranged in such a way

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Given that there are X boxes and the balls are arranged in such a way  [#permalink]

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New post 05 Mar 2019, 01:04
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Question Stats:

27% (01:36) correct 73% (02:08) wrong based on 22 sessions

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Given that there are X boxes and the balls are arranged in such a way that no ball is left. If the number of boxes is reduced by 3 and if 12 balls are arranged in them, then 5 balls are left behind, what is the original number of boxes X?

A. 30
B. 31
C. 32
D. 33
E. 34
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Given that there are X boxes and the balls are arranged in such a way  [#permalink]

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New post Updated on: 22 Mar 2019, 03:16
Rashed12 wrote:
Given that there are X boxes and the balls are arranged in such a way that no ball is left. If the number of boxes is reduced by 3 and if 12 balls are arranged in them, then 5 balls are left behind, what is the original number of boxes X?

A. 30
B. 31
C. 32
D. 33
E. 34


From the question steam we can write

X-3 = 12q + 5 ( 12 balls arranges with 5 as remainder (left behind))
simplifying

X=12q + 8, putting Q = 0,1,2,3....

we get ; X = 8, 20, 32, 44 ....

we see only 32 is present in ans options

Ans C 32


Edited : Corrected addition error
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Originally posted by doomedcat on 19 Mar 2019, 09:15.
Last edited by doomedcat on 22 Mar 2019, 03:16, edited 1 time in total.
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Re: Given that there are X boxes and the balls are arranged in such a way  [#permalink]

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New post 19 Mar 2019, 11:43
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Rashed12 wrote:
Given that there are X boxes and the balls are arranged in such a way that no ball is left. If the number of boxes is reduced by 3 and if 12 balls are arranged in them, then 5 balls are left behind, what is the original number of boxes X?

A. 30
B. 31
C. 32
D. 33
E. 34


given info
x-3= 12a+5
a=1,2,3,
we get
x=12a+8
x= 20,32,44
Rashed12
is given answer correct?
IMO C is right
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Re: Given that there are X boxes and the balls are arranged in such a way   [#permalink] 19 Mar 2019, 11:43
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