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  • Question
  • Equal quantities of three mixtures of milk and water are mixed in the ratio 1:2, 2:3 and 3:4. The ratio of water and milk in the mixture is ?


  • Options
  • A. 193 : 122
  • B. 97 : 102
  • C. 115 : 201
  • D. 147 : 185

  • Correct Answer
  • 193 : 122 

    Explanation

    Given the three mixtures ratio as (1:2),(2:3),(3:4)

    (1+2),(2+3),(3+4)

    Total content = 3,5,7

     

    Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105

    105/3 = 35 , 105/5 = 21 , 105/7 = 15

     

    Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)

     i.e (35,70), (42,63), (45,60)

     

    So overall mixture ratio of milk and water is

    35+42+45 : 70+63+60

    122:193

     

    But in the question asked the ratio of water to milk = 193 : 122

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

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