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SSC Quantitative Aptitude Mixture And Alligation Question Bank Mixture and Allegation (I)

  • question_answer
    There are two containers of equal capacity. The ratio of milk to water in the first container is 3 : 1, in the second container 5 : 2. If they are mixed up, the ratio of milk to water in the mixture will be [SSC CGL Tier II, 2014]

    A) 28 : 41

    B) 41 : 28

    C) 15 : 41

    D) 41 : 15

    Correct Answer: D

    Solution :

    [d]   Part of milk in first container \[=\frac{3}{3+1}=\frac{3}{4}\] Part of water in first container \[=\frac{1}{3+1}=\frac{1}{4}\] Similarly, part of milk in second container \[=\frac{5}{5+2}=\frac{5}{7}\] Part of water in second container \[=\frac{2}{5+2}=\frac{2}{7}\] \[\therefore \] Required ratio of milk to water when these mixtures are mixed together \[=\frac{\frac{3}{4}+\frac{5}{7}}{\frac{1}{4}+\frac{2}{7}}=\frac{\frac{21+20}{28}}{\frac{7+8}{28}}=\frac{41}{28}\times \frac{28}{15}=\frac{41}{15}\]


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