Latest Miscellaneous Company Exam Aptitude Question SOLUTION: . A cask is filled with alcohol and water in the ratio 5”3 Sixteen gallons of this are drawn off and the cask is filled with water and then the proportion of alcohol to water bec

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Miscellaneous Company Exam Question Papers:

(#M40011062) MISCELLANEOUS COMPAN Numerical Ability question Keep an EYE

. A cask is filled with alcohol and water in the ratio 5”3 Sixteen gallons of this are drawn off and the cask is filled with water and then the proportion of alcohol to water becomes 3:5 How many gallons does the cask hold ?

1] 32 2] 36 3] 38 4] 40

Asked In Miscellaneous Company Exam PARAG KAMRA (11 years ago)

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jyothi yachamaneni  (11 years ago)

can u please explain dis again ..i dint get the explanation dat u have given

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Garima  (11 years ago)

40 ltrs .. ratio of alcohal and water is 25:15
Initially when Sixteen gallons of this are drawn off
ratio of alcohal and water is 15:9
and the cask is filled with water 15:25 which is 3:5

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srivathsan balaji  (10 years ago)

let the ratio of alcohol to water be 5x : 3x
Drawing off 16 lts the ratio of alcohol and water emoved will be 5/8*16 and 3/8*16 ie 10 and 6 gallons of alcohol and water respectively

remaining alcohol and water will be 5x - 10 : 3x - 6
Now 16 lts of water is added to it
5x - 10 : 3x - 6 + 16 :: 3:5
5x-10 : 3x + 10 :: 3:5
so
(5x-10)*5 = (3x+10)3
25x - 50 = 9x + 30
16x = 80
8x = 40.

The cask holds 8x gallons ie 40 gallons

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