Multiple Choice Questions on The milk and water in two vessels A and B are in the ratio 4 3 and 2 3 respectively In what ratio th........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

The milk and water in two vessels A and B are in the ratio 4 3 and 2 3 respectively In what ratio th...........

Quantitative Aptitude ( CCS) Mixture and Alligation
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    The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?

    7:5

    Correct Answer

    5:7

    Incorrect Answer

    2:3

    Incorrect Answer

    3:2

    Incorrect Answer
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    Explanation:

    Milk in 1-litre mixture of A = 4/7 litre. 

    Milk in 1-litre mixture of B = 2/5 litre. 

    Milk in 1-litre mixture of C = 1/2 litre.

    By rule of alligation we have required ratio X:Y   

       X                  :                 Y  

      4/7                                2/5  

               \                      /

                  (Mean ratio)
                       (1/2) 

               /                      \

     (1/2 – 2/5)     :       (4/7 – 1/2)  

        1/10                      1/1 4

    Required ratio = X : Y = 1/10 : 1/14 = 7:5

    Hence, option 1 is the correct answer.

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