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IAF Group X 2021 Mathematics Test - 4
Result
IAF Group X 2021 Mathematics Test - 4
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  • Question 1/10
    1 / -0.25

    Solutions

    Given that,

    Line 2x - y + 1 = 0 and point (2, 4).

    Point is not satisfied the line, it means point away from line,

    Let x-coordinate of point is α,

    Then, y-coordinate is (2α+1).

    Now using distance formula

     

  • Question 2/10
    1 / -0.25

    Solutions

    As value of determinant will always be zero irrespective of value of k.

    So, k can take infinite number of values.

     

  • Question 3/10
    1 / -0.25

    Solutions

     

  • Question 4/10
    1 / -0.25

    x and u follow a relationship, u + 4x = 12. Similarly, the relationship between the other two variables, y, and v follows as y + 3v = 24. The coefficient of y on x is 0.75. what will be the coefficient on v on u?

    Solutions

     

  • Question 5/10
    1 / -0.25

    Solutions

     

  • Question 6/10
    1 / -0.25

    Solutions

    We have,

     

  • Question 7/10
    1 / -0.25

    A shopkeeper sells three varieties of perfumes and he has a large number of bottles of the same size of each variety in this stock. There are 5 places in a row in his showcase. The number of different ways of displaying the three varieties of perfume in the showcase is:

    Solutions

     

  • Question 8/10
    1 / -0.25

    Solutions

     

  • Question 9/10
    1 / -0.25

    A vertical lamp post 6m high stands at a distance of 2m from a wall 4m high. A 1.5m tall man starts to walk away of the wall on the other side of wall in the line with the lamp post. The minimum distance which the man can walk remains in the shadow is

    Solutions

    Given,

    Height of lamp post = PQ = 6m

    Height of man = 1.5m

    Here, BD is the required distance that we have

    to find

     

  • Question 10/10
    1 / -0.25

    Solutions

    We have,

     

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