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21 Jan 2021, 22:22
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A
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Difficulty:
65%
(hard)
Question Stats:
65% (02:56) correct
35%
(03:06)
wrong
based on 173
sessions
History
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A container is filled with 56 litres of pineapple juice. 8 litres of pineapple juice are extracted and the container is refilled with mango juice. The content of the container is thoroughly mixed and 8 litres of the mixture are then extracted and the container is again refilled with mango juice. What is the ratio of mango juice to pineapple juice in the final mixture?
A. 13:36
B. 2:5
C. 27:62
D. 36:13
E. 6:1
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
A. 13:36
B. 2:5
C. 27:62
D. 36:13
E. 6:1
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
21 Jan 2021, 23:28
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First there was 56 litres of pineapple juice.
After extracting 8 litres of pineapple juice and refilling with mango juice, there will be 8 litres of mango juice and 48 litres of pineapple juice.
If we extract 8 litres from the mixture and refill with mango juice, then there will be 8-(8/56)*8+8=107/7 litres of mango juice and 48-(48/56)*8=288/7 litres of pineapple juice in the mixture. The ratio of mango juice to pineapple juice=(107/7):(288/7)=107:288=13:36 A)
After extracting 8 litres of pineapple juice and refilling with mango juice, there will be 8 litres of mango juice and 48 litres of pineapple juice.
If we extract 8 litres from the mixture and refill with mango juice, then there will be 8-(8/56)*8+8=107/7 litres of mango juice and 48-(48/56)*8=288/7 litres of pineapple juice in the mixture. The ratio of mango juice to pineapple juice=(107/7):(288/7)=107:288=13:36 A)
22 Jan 2021, 00:32
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ratio after 1st operation.
P: M
48:8
6:1
Ratio after 2nd ops.
Pineapple :: 48-6/7*8 (as 8lts is taken out)
Mango :: 8-1/7*8 + 8 (as 8lts is taken out & then 8lts of mango is again getting added)
M:P = (8-1/7*8 + 8) : (48-6/7*8)
M:P = 13:36
P: M
48:8
6:1
Ratio after 2nd ops.
Pineapple :: 48-6/7*8 (as 8lts is taken out)
Mango :: 8-1/7*8 + 8 (as 8lts is taken out & then 8lts of mango is again getting added)
M:P = (8-1/7*8 + 8) : (48-6/7*8)
M:P = 13:36
