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Quiz: Mixture & Alligation

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Number of Questions: 50

Question: 31 -

In a school, the average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?

Options:

  1.  13 and 27

  2. 18 and 19

  3. 15 and 13

  4. 16 and 15

    5. Answer:

     13 and 27
    Solution:

    20…………………….30
    …………23.25…………..
    6.75…………………….3.25
    Total number of boys and Total number of girls = 13 and 27

Question: 32 -

Rice worth Rs. 126 per kg and Rs. 134 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 177 per kg, the price of the third variety per kg will be:

Options:

  1. 238

  2. 216

  3. 254

  4. 224

    5. Answer:

    224
    Solution:

    126*1+134*1+2x=177*4
    260+2x=708
    2x==708-260=448
    x=448/2 = 224

Question: 33 -

A vessel is filled with liquid, 4 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

Options:

  1. 1/12

  2. 1/10

  3. 1/9

  4. 1/5

    5. Answer:

    1/10
    Solution:

    Suppose the vessel initially contains 9litres of liquid.
    Let x litres of this liquid be replaced with water.
    (4-(4x/9) +x) = (5-(5x/9))
    X = 9/10
    So, part of the mixture replaced = 9/10 * 1/9 = 1/10
    Shortcut:
    4:5—->9
    1:1—->2
    8:10
    9:9
    1/10

Question: 34 -

The diluted Milk contains only 8 liters of Milk and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing Milk. How many liters of the mixture shall be replaced with pure Milk if there was initially 32 liters of water in the mixture?

Options:

  1. 8 litre

  2. 5 litre

  3. 3 litre

  4. 4 litre

    5. Answer:

    5 litre
    Solution:

    Milk : Water
    8 : 32 => 1:4
    Original Ratio = 20%:80%
    Required Ratio = 30%:70%
    Original Ratio(water) = 80%
    Required Ratio(water) = 70%
    7/8 = (1-x/40)
    x = 5 litre

Question: 35 -

One quantity of rice priced at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8:7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?

Options:

  1. 15.5

  2. 20.25

  3. 10.8

  4. 12.75

    5. Answer:

    10.8
    Solution:

    Let the rate of second quality be Rs x per Kg.
    9.30…..…………x
    …………10………….
    8………………………7
    7X – 70 = 5.6
    X = 10.80