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Multiple Choice Questions

A vessel is filled with liquid 3 parts of which are water and 5 parts of syrup How much of the mixtu...........

Quantitative Aptitude ( CCS) Mixture and Alligation
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    A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

    1/3

    Incorrect Answer

    1/5

    Correct Answer

    1/6

    Incorrect Answer

    1/8

    Incorrect Answer
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    Explanation:

    Suppose the vessel initially contains 8 litres of liquid.

    Let x litres of this liquid be replaced with water.
    Quantity of water in new mixture =  (3−3x/8+x) litres.

    Quantity of syrup in new mixture =  (5−5x/8) litres.

      (3−3x/8+x)=(5−5x/8)

    =>   5x + 24 = 40 - 5x

    =>   10x = 16    => x = 8/5

    So, part of the mixture replaced = (85×18) = 1/5.

    hence, option 2 is the correct answer.

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