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  • Question 1
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    The pdf of a random variable X is f(x) = 3(1 - 2x2 ), 0                               = 0   otherwise

  • Question 2
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    If f(x) = x + (1/x) , x ≠ 0, then local maximum and minimum values of function f are respectively..

  • Question 3
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    A player tosses 2 fair coins. He wins Rs. 5 if 2 heads appear, Rs. 2 If 1 head appear and Rs. 1 if no head appears, then the variance of his winning amount is

  • Question 4
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    If A = {x ∈R / x2 + 5 | x | + 6 = 0} then n(A) = ….

  • Question 5
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    The solution of differential equation

  • Question 6
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    If line (2x -4)/λ = (y - 1)/2 = (z - 3)/1 and (x - 1)/1 = (3y - 1)/λ = (z - 2)/1 are perpendicular to each other then λ =..

  • Question 7
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    at = k, x = 0 is continuous x = 0

    Then k = …..

  • Question 8
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    Which of the following can not be the direction cosines of a line?

  • Question 9
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  • Question 10
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    Derivative of with respect to

  • Question 11
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    In ΔABC, with the usual notations, if sin B sin C = bc/a2, then the triangle is......

  • Question 12
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  • Question 13
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    sin[3 sin-1(0.4)] = ...

  • Question 14
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    For a sequence (tn), if Sn= 5(2n-1) then tn= …….

  • Question 15
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    Which of the following function has period 2?

  • Question 16
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    If A, B, C are pth, qth,and terms of a GP, respectively, then Aq - r. Br - p. Cp - q= ….

  • Question 17
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    The maximum value of Z = 5x + 4y, Subject to y ≤ 2x, x ≤ 2y, x + y ≤ 3, x ≥ 0, y ≥ 0 is.....

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