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Mixtures & Aligations Test 1
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Mixtures & Aligations Test 1
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  • Question 1/10
    1 / -0

    If 3 men or 4 women can reap a field in 43 days. How long will 7 men and 5 women take to reap it?

    Solutions

    3 men or 4 women can reap the field in 43 days.

    3 men = 4 women.

    1 man = 4/3 women.

    7 man = 28/3 women.

    7 men and 5 women = 5 + (28/3) = 43/3 women.

    4 women can reap field in 43 days.

    So, 

    1 women can reap in = 43 *4 days. 

    Hence, 

    43/3 women can reap = (43*4 *3) /43 = 12 days.

     

  • Question 2/10
    1 / -0

    A milkman makes 20% profit by selling milk mixed with water at Rs.9 per liter. If the cost price of 1 liter pure milk is Rs.10, then the ratio of milk and water in the said mixture is?

    Solutions

     

  • Question 3/10
    1 / -0

    In what ratio must 25% alcohol be mixed with 50% alcohol to get a mixture of 40% alcohol strength ?

    Solutions

     

  • Question 4/10
    1 / -0

    How many ml. of water must be added to 48 ml. of alcohol to make a solution that contains 25% alcohol ?

    Solutions

     

  • Question 5/10
    1 / -0

    A mixture of 70 litres contains milk and water in ratio of 3 :4. How many litres of milk must be added to mixture so as to make the ratio 5 : 4?

    Solutions

     

  • Question 6/10
    1 / -0

    The population of a town is 10000. In a particular year, male population is increased by 5% and female population by 8%. If the population at the end of year is 10590. What was the male population in the town in beginning of the year?

    Solutions

    Actual increase in the population = 10590-10000 = 590

    Let, the population consist of male population only.

    Then, increase in population = 5% of 10000 = 500

    Higher rate of increase for female population = 8% - 5% = 3%

    ∴ 3% of female population = 90 (i.e., 30 times of 3)

    ∴ Female population = 30 x 100 = 3000

    and Male population = 10000 - 3000 = 7000

     

  • Question 7/10
    1 / -0

    Find the ratio in which rice at  Rs 7.20 a kilogram be mixed with rice at Rs 5.70 a kilogram to produce a mixture of worth  Rs 6.30 a kilogram.

    Solutions

     

  • Question 8/10
    1 / -0

    The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected  new mean is?

    Solutions

     

  • Question 9/10
    1 / -0

    A mixture of 70 litres of wine and water contains 10% of water. How much more water should be added to make the water  of the resulting mixture ?

    Solutions

    If P1 be original percentage of water and P2 be final, solution then quantity of water to be added = 70(P2-P1) / 100-P2

    = 70(12.5-10) / 100-12.5

    = 70 x 2.5 / 87.5 = 2 litres

     

  • Question 10/10
    1 / -0

    729 litres of a mixture contains milk and water in the ratio 7:2. How much water is to be added to get an new mixture containing milk & water in the ratio 7 : 3?

    Solutions

     

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