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12th Standard Business Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Three

12th Standard

    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 \(\left| A \right| \neq 0,\) then A is _______.

    (a)

    non-singular matrix

    (b)

    singular matrix

    (c)

    zero matrix

    (d)

    none of these

  2. If f (x) is a continuous function and a < c < b, then \(\int_{a}^{c} f(x) d x+\int_{c}^{b} f(x) d x\) is _______.

    (a)

    \(\int_{a}^{b} f(x) d x-\int_{a}^{c} f(x) d x\)

    (b)

    \(\int_{a}^{c} f(x) d x-\int_{a}^{b} f(x) d x\)

    (c)

    \(\int_{a}^{b} f(x) d x\)

    (d)

    0

  3. \(\int _{ 1 }^{ 4 }{ f\left( x \right) } dx,\) where f(x) =  \(\begin{cases} 7x+3\quad if\quad 1\le x\le 3 \\ 8x\quad if\quad 3\le x\le 4 \end{cases}\) is _____________.

    (a)

    58

    (b)

    60

    (c)

    62

    (d)

    52

  4. The marginal cost function is MC = 100 \(\sqrt x\). find AC given that TC  = 0 when the out put is zero is ________.

    (a)

    \(\frac { 200 }{ 3 } { x }^{ \frac { 1 }{ 2 } }\)

    (b)

    \(\frac { 200 }{ 3 } { x }^{ \frac { 3 }{ 2 } }\)

    (c)

    \(\frac { 200 }{ { 3x }^{ \frac { 3 }{ 2 } } } \)

    (d)

    \(\frac { 200 }{ { 3x }^{ \frac { 1 }{ 2 } } } \)

  5. Profit = Total revenue - __________.

    (a)

    demand

    (b)

    total cost

    (c)

    Marginal cost

    (d)

    Average cost

  6. The integrating factor of x \(\frac { dy }{ dx } \) - y = x2 is ______.

    (a)

    \(\frac {-1}{x}\)

    (b)

    \(\frac {1}{x}\)

    (c)

    log x

    (d)

    x

  7. The P.I. of the differential equation f(D)y = eax where f(D) = (D-a) g(D), g(a) ≠0 is _____

    (a)

    meax

    (b)

    \(\frac { { e }^{ ax } }{ g(a) } \)

    (c)

    g(a)eax

    (d)

    \(\frac { xe^{ ax } }{ g(a) } \)

  8. A listing of all the outcomes of an experiment and the probability associated with each outcome is called ________.

    (a)

    probability distribution

    (b)

    probability density function

    (c)

    attributes

    (d)

    distribution function

  9. If X is a discrete random variable then which of the following is correct?

    (a)

    0 ≤ F(x) ≤ 1

    (b)

    F(-∞) = 0,F(∞) ≤ 1

    (c)

    P(X = Xn) = F(Xn)-F(Xn-1)

    (d)

    F(x) is a constant function

  10. Chance variation in the manufactured product is __________

    (a)

    controllable

    (b)

    not controllable

    (c)

    both (a) and (b)

    (d)

    none of these

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