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12th Standard Business Maths English Medium Free Online Test Creative One Mark Questions with Answer Key - Part Three

12th Standard EM

    Reg.No. :
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Business Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. If A, B are two n x n non-singular matrices, then

    (a)

    AB is non-singular

    (b)

    AB is singular

    (c)

    (AB)-I = A-1 B-1

    (d)

    (AB)-1I does not exit

  2. \(\int { { e }^{ x } } \) f(x) + f' (x) dx = _____________ +c

    (a)

    ex f(x)

    (b)

    ex + f(x)

    (c)

    2ex f(x)

    (d)

    ex - f(x)

  3. The area of the region bounded by the line y = 3x + 2, the X-axis and the ordinates x = - 1 and x = 1is_________ sq. units.

    (a)

    \(\frac{13}{3}\)

    (b)

    13

    (c)

    \(\frac{26}{3}\)

    (d)

    \(\frac{3}{13}\)

  4. The differential equation obtained by eliminating a and b from y = a e3x + b e-3x is

    (a)

    \(\frac { { d }^{ 2 }y }{ dx^{ 2 } } \)+ay=0

    (b)

    \(\frac { { d }^{ 2 }y }{ dx^{ 2 } } \)-9y=0

    (c)

    \(\frac { { d }^{ 2 }y }{ dx^{ 2 } } -9\frac { dy }{ dx } \)

    (d)

    \(\frac { { d }^{ 2 }y }{ dx^{ 2 } } \)+9x=0

  5. Δ(f(x) + g(x)) = ________

    (a)

    Δf(x) + Δg(x)

    (b)

    f(x) ± Δg(x)

    (c)

    f(x) Δ g(x)

    (d)

    g(x). Δf(x)

  6. X is a random variable. Taking the values 3, 4 and 12 with probabilities \(\frac{1}{3},\frac{1}{4}\)and \(\frac{5}{12}\).Then E(X) is

    (a)

    5

    (b)

    7

    (c)

    6

    (d)

    3

  7. If Z is a standard normal variate, then p(0<Z<∞) is

    (a)

    0.5

    (b)

    1

    (c)

    0.25

    (d)

    0.75

  8. Which of the following statements is true?

    (a)

    point estimate gives a range of value

    (b)

    sampling is done only to estimate a statistic

    (c)

    sampling is done to estimate the population parameter

    (d)

    sampling is not possible for an infinite population

  9. The normal equations for estimating a and b so that the line y = ax + b may be the line of best fit are

    (a)

    aΣx2 + bΣx = Σxy, aΣx + nb = Σy

    (b)

    aΣx + bΣx2 = Σxy, aΣx2 + nb = Σy

    (c)

    aΣx + nb = Σxy, aΣx2 + bΣx = Σy

    (d)

    aΣx2 + nb = Σxy, aΣx + bΣx = Σy

  10. To assign different jobs to the different machines to minimize the overall cost is

    (a)

    transportation problem

    (b)

    assignment problem

    (c)

    minimax principle

    (d)

    maximin principle

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