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# During a school picnic, class teacher distributed X apples and Y orang

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1430
Location: India
During a school picnic, class teacher distributed X apples and Y orang  [#permalink]

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21 Mar 2019, 22:24
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:47) correct 18% (02:10) wrong based on 33 sessions

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During a school picnic, class teacher distributed X apples and Y oranges among N students present in her class, such that each of the N students gets an equal number of apples, and each gets an equal number of oranges. All the X apples and Y oranges get distributed in this way and none are left. No other fruits are distributed. What is the value of Y?

(1) X = 72 and everyone gets 5 oranges each.
(2) Each of the N students gets a total of 11 fruits.
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1022
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: During a school picnic, class teacher distributed X apples and Y orang  [#permalink]

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22 Mar 2019, 04:33
From S1:

X = Apples = 72.
And each student gets 5 Oranges each.
Possible combinations with the number of apples distributed are
Apples Students
72 1
36 2
18 4
12 6
9 8
Hence Insufficient.

From S2:

Each student gets 11 fruits each.
Clearly Insufficient.

Combining both:

Each student gets 11 fruits each. Out of which 5 are oranges.
Apples = 6.
If apples are 6, then the number of students is 12.
Y = oranges = 12*5 = 60

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Re: During a school picnic, class teacher distributed X apples and Y orang  [#permalink]

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29 Mar 2019, 09:32
amanvermagmat wrote:
During a school picnic, class teacher distributed X apples and Y oranges among N students present in her class, such that each of the N students gets an equal number of apples, and each gets an equal number of oranges. All the X apples and Y oranges get distributed in this way and none are left. No other fruits are distributed. What is the value of Y?

(1) X = 72 and everyone gets 5 oranges each.
(2) Each of the N students gets a total of 11 fruits.

#1
total apples = 72 , but how many children get an apple each is not sure
1 child = 72 apples; 2 children = 36
so on
in sufficient
#2
apples + oranges= 11
in sufficient
from 1&2
6 apples possible when n= 12 so
12*5 = 60 oranges
IMOC
Re: During a school picnic, class teacher distributed X apples and Y orang   [#permalink] 29 Mar 2019, 09:32
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