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Home Aptitude Alligation or Mixture See What Others Are Saying!
  • Question
  • From the 50 liters of milk, 5 liters of milk is taken out and after it 5 liters of water is added to the rest amount of milk. Again 5 liters of milk and water is drawn out and it was replaced by 5 liters of water. If this process is continued similarly for the third time, the amount of milk left after the third replacement:


  • Options
  • A. 45L
  • B. 36.45L
  • C. 40.5L
  • D. 42.5L

  • Correct Answer
  • 36.45L 

    Explanation

    General Formula:

    Final or reduced concentration = initial concentration x  1 - a m o u n t   b e i n g   r e p l a c e d   i n   e a c h   o p e r a t i o n t o t a l   a m o u n t n

    where n is the number of times the same operation is being repeated. The "amount being replaced" could be pure or mixture as per the case. similarly ,"total amount" could also be either pure or mixture. Here amount being replaced denotes the quantity which is to be withdrawn in each time.

     

    Therefore,     50 × 1 - 5 50 3

    = 36.45 L


  • More questions

    • 1. 
      A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?

    • Options
    • A. $250, $100, $100
    • B. $225, $150, $75
    • C. $200, $150, $100
    • D. $175, $175, $100
    • Discuss
    • 2. 
      The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is :

    • Options
    • A. 50 ?3 m
    • B. 50 m ?3
    • C. 75 ?3 m
    • D. 75 m ?3
    • Discuss
    • 3. 
      If 30% of A = 20 % of B, then find the value of A : B?

    • Options
    • A. 1 : 3
    • B. 3 : 2
    • C. 3 : 1
    • D. 2 : 3
    • Discuss
    • 4. 80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?

    • Options
    • A. 8
    • B. 9
    • C. 10
    • D. 12
    • Discuss
    • 5. 
      If log 5 (x 2 + x) - log 5 x = 2 then the value of x is?

    • Options
    • A. 24
    • B. 25
    • C. 23
    • D. 120
    • Discuss
    • 6. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

    • Options
    • A. 0
    • B. 1
    • C. 10
    • D. 19
    • Discuss
    • 7. 
      Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2 : 7. Find the ratio of time taken by A and B to reach From X to Y.

    • Options
    • A. 2 : 5
    • B. 3 : 5
    • C. 3 : 8
    • D. 7 : 2
    • Discuss
    • 8. 
      Walking with 3/4 of his usual speed, Sachin covers a certain distance in 2 h more than the time he takes to cover the distance at his usual speed. Find the time taken by him to cover this distance with usual speed.

    • Options
    • A. 5 h
    • B. 6 h
    • C. 9 h
    • D. 4 h
    • Discuss
    • 9. 
      If ? 2 n = 64, then the value of n is?

    • Options
    • A. 2
    • B. 4
    • C. 6
    • D. 12
    • Discuss
    • 10. 
      Ram and Sita are walking towards each other with the speed of 8 km/h and 2 km/h, respectively over a road 160 km long. How soon will they meet?

    • Options
    • A. 16 h
    • B. 8 h
    • C. 10 h
    • D. 20 h
    • Discuss


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