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Ratio & Proportion - Quant/Math - CAT 2013

  1. Algebra
  2. Progressions
  3. Averages
  4. Clocks and Calendars
  5. Data Sufficiency
  6. English Grammar
  7. Function
  8. Geometry
  9. Coordinate Geometry
  10. Interest
  11. Mensuration
  12. Mixtures & Alligations
  13. Number System
  14. Percentages
  15. Permutation & Combination
  16. Pipes & Cisterns And Work & Time
  17. Probability
  18. Profit & Loss
  19. Races
  20. Ratio, Proportion
  21. Speed, Time & Distance
  22. Trigonometry
  23. Miscellaneous
  24. General Knowledge
Question 4 the day: February 17, 2003

The question for the day is from the topic of Ratio and Proportion.
The proportion of milk and water in 3 samples is 2:1, 3:2 and 5:3. A mixture comprising of equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is

(1) 2:1 (2) 5:1
(3) 99:61 (4) 227:133
Correct Answer - (4)

Solution:


Proportion of milk in 3 samples is 2/3, 3/5, 5/8.

Proportion of water in 3 samples is 1/3, 2/5, 3/8.

Since equal quantities are taken,

Total proportion of milk is 2/3 + 3/5 + 5/8 = 227/120

Total proportion of water is 1/3 + 2/5 + 3/8 = 133/120

Proportion of milk and water in the solution is = 227:133

So Choice (4) is the right answer.


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