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CAPF Revision Test 5
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CAPF Revision Test 5
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  • Question 1/5
    1 / -0
    A container contains x litre of wine. 6 litres are drawn from this container and is then filled with water. This Operation is performed 4 more times. The ratio of quantity of the wine now left in container to that of water is 243:2882 . How much wine did the container hold originally.
    Solutions

    Original quantity = x ltr.

    Amount of wine left after 5 operations =

    According to question,

    ⇒

    ⇒

    ⇒

    ⇒

    ⇒  litres

    Hence, Container originally hold 15 litres.

  • Question 2/5
    1 / -0
    If the length of cuboid is increased by 20%, breadth of cuboid decreased by 12.5% and height is increased by 25%. Find net percentage effect on volume of cuboid.
    Solutions

    Given length of cuboid is increased by 20%, breadth of cuboid decreased by 12.5% and height is increased by 25%.

    We will first covert all percentages into fraction.

    So, Net percentage effect on volume of cuboid=

  • Question 3/5
    1 / -0
    If Vaibhav reduces his speed by 27 .27% , he takes 44 minutes to reach his destination. Find the usual time taken by Vaibhav to reach his destination.
    Solutions

    Clearly,

    Let original speed = 11x

    Then Vaibhav reduces his speed by 27.27%.

    Hence, New speed = 11x - 3x = 8x

    So, We can say that Vaibahv reduced his speed from 11x to 8x.

    If distance is constant then speed is inversely proportional to time taken.

    Ratio of speed = 11:8

    Ratio of time taken = 8:11

    It is given that he takes 44 minutes to reach his destination.

    ⇒ 11 unit = 44 minutes

    ⇒ 1 unit = 4 minutes

    ⇒ 8 unit = 32 minutes

    So, usual time taken = 32 minutes.

  • Question 4/5
    1 / -0
    In an examination, 45% of the candidate failed in mathematics and 35% in English. If 10% failed in both maths and English and 900 students passed in both the subjects then how many students passed in English ?
    Solutions

    Given, in an examination, 45% of the candidate failed in mathematics and 35% in English. 10% failed in both maths and English.

    We will first describe above statement by Venn Diagram

    Percentage of students failed in at least one of the subjects = 35% + 10% + 25% = 70%

    Percentage of students passed in both the subjects = 100% - 70% = 30%

    ⇒ 30% = 900

    ⇒ 1% = 30

    Percentage of students failed in English = 35%

    Percentage of students passed in English =100% - 35% = 65%

    Number of students passed in English =

  • Question 5/5
    1 / -0
    If cost price of 20 articles is equal to the selling price of 15 articles. The profit percentage is
    Solutions

    C.P. Of 20 articles = S.P. of 15 articles

    Let S.P. of 15 articles = x

    C.P. Of 20 articles = x

    C.P. Of 15 articles =

    Profit = S.P. – C.P. =

    Profit percentage =

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