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Quiz: Mixture & Alligation

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Number of Questions: 50

Question: 21 -

A Jar contains a mixture of Milk and Water 18 and 12 Liters respectively. When ‘x’ liter of the mixture is taken out and replaced with the same quantity of Water, then the ratio of Milk and Water becomes 2:3. Then what is the quantity of Water in final Mixture?

Options:

  1. 18 Liter

  2. 12 Liter

  3.  20 Liter

  4. 15 Liter

    5. Answer:

    18 Liter
    Solution:

    (18-x*18/30)/(12- x*12/30+x) =2/3
    x = 10
    Water = 12+3/5*10 = 18

Question: 22 -

From a container, a thief has stolen 10 liters of Milk and replaced with the same quantity of water. He repeated the process for three times, then the ratio of Milk to water became 343:169.The initial amount of Milk in the container is?

Options:

  1.  130 liter

  2. 100 liter

  3.  80 liter

  4. 120 liter

    5. Answer:

     80 liter
    Solution:

    343x = 512x(1-10/y)
    y = 80

Question: 23 -

From the 50 liters of a chemical solution, 5 liters of chemical solution is taken out and after it, 5 liters of water is added to the rest amount of chemical solution. Again 5 liters of chemical solution 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 chemical solution left after the third replacement

Options:

  1. 30.25L

  2. 32.75L

  3. 30.80L

  4. 36.45L

    5. Answer:

    36.45L
    Solution:

    50 * 45/50 * 45/50 *45/50 = 36.45L

Question: 24 -

Vikram covered 180 km distance in 10 hours. The first part of his journey he covered by Car, then he hired a Rickshaw. The speed of the car and rickshaw is 25 kmph and 15 kmph respectively. The ratio of the distances covered by the car and the rickshaw is

Options:

  1. 7:8

  2. 7:9

  3. 7:3

  4. 7:5

    5. Answer:

    7:5
    Solution:

    Average Speed = 180/10 = 18kmph
    15………………….25
    …………18…………..
    7…………………….3
    The ratio of time taken by rickshaw to car = 7:3
    The ratio of distances covered by rickshaw to car = 7 * 15 : 3 * 25 = 7:5

Question: 25 -

A Jar contains 200 liters of Milk a thief stole ‘X’ liters of Milk and replaced it with water. Next, he stole 40 liters of Milk and replaced it with water. Again he stole 50 liters of Milk and replaced with water. If the quantity of water in the final mixture is 92 liters. Then what is the value of X?

Options:

  1. 15 Liter

  2.  10 Liter

  3.  30 Liter

  4. 20 Liter

    5. Answer:

    20 Liter
    Solution:

    Milk = 200-92 =108
    108 = 200*(200-x)/200*160/200*150/200
    x = 20 Liter