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NDA II 2022 Mathematics Test - 10
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NDA II 2022 Mathematics Test - 10

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  • Question 1/10
    2.5 / -0.83

    A variate x follows a distribution with mean 45 and standard deviation 3; find the standard deviation of the distribution of 1 - 3x..

    Solutions

     

  • Question 2/10
    2.5 / -0.83

    The population standard deviation of 17, 25, 8, 3, and 12 is 7.56. If each of the numbers is multiplied by 3 then the new standard deviation is:

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  • Question 3/10
    2.5 / -0.83

    Find the population standard deviation for the following data

    3, 2, 5, 13, 9

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  • Question 4/10
    2.5 / -0.83

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  • Question 5/10
    2.5 / -0.83

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  • Question 6/10
    2.5 / -0.83

    Find the area of the region bounded by the curve y=x2, the x-axis and the line x=1 and x=3

    Solutions

    y=x2 is a upward parabola with its vertex at the origin

    and x=1 and x=2 is the line parallel to y-axis

    y=x2 contains only even power of x. so, it is symmetrical about the y-axis

     

  • Question 7/10
    2.5 / -0.83

    Solutions

    Let a + b + c = 0 ⇒ (a + b) = - c

    ⇒ (a + b)2 = c2

    ⇒ a2 + b2 + 2a.b = c2

    ⇒ 9 + 25 + 2.3.5 cos θ = 49

     

  • Question 8/10
    2.5 / -0.83

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  • Question 9/10
    2.5 / -0.83

    If a, b and c are the three non-coplanar vectors, then  is equal to

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  • Question 10/10
    2.5 / -0.83

    Let  . If U is a unit vector, then the maximum value of the scalar triple product [U V W] is

    Solutions

     

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