Multiple choice

$Find ratio of milk and water in the resultant$ I. two mixtures contain milk and water in the ratio 3:2 and 4:3 II. 20 litres from 1st container is taken out and x litres from 2nd is taken out and poured in third container III. value of x is 40 litres IV. the mixture from two containers are mixed in the ratio 3:2

  1. I,II and III

  2. I and IV

  3. I,II and III or I and IV

  4. All required

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using statements I, II, III: 20L from first container (3:2) has 12L milk and 8L water. 40L from second (4:3) has 160/7 ≈ 22.86L milk and 120/7 ≈ 17.14L water. Total: 12 + 160/7 = 244/7 milk, 8 + 120/7 = 176/7 water. Ratio = 244:176 = 61:44. Using statements I and IV: mixing in 3:2 ratio gives (3/5)(3/2) : (3/5)(2/5) + (2/5)(4/7) : (2/5)(3/7) which also yields a valid ratio. Either combination is sufficient.

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