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12th Standard Business Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Five

12th Standard

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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. \(\int _{ 0 }^{ 1 }{ \frac { 1 }{ 2x-3 } } \) dx = ____________

    (a)

    \(\frac { 1 }{ 2 } log3\)

    (b)

    \(-\frac { 1 }{ 2 } log3\)

    (c)

    \(\frac { 1 }{ 2 } log1\)

    (d)

    0

  4. When x0 = 5 and p0 = 3 the consumer’s surplus for the demand function pd = 28 − x2 is

    (a)

    250 units

    (b)

    \(\frac{250}{3}\)units

    (c)

    \(\frac{251}{2}\) units

    (d)

    \(\frac{251}{3}\) units

  5. The are bounded by the demand curve xy = 1, the X-axis, x = 1 and x = 2 is ________

    (a)

    log 2

    (b)

    log \(\frac{1}{2}\)

    (c)

    2 log 2

    (d)

    \(\frac{1}{2}\)log 2

  6. Which of the following is the homogeneous differential equation?

    (a)

    (3x−5)dx = (4y−1)dy

    (b)

    xy dx−(x3+y3)dy = 0

    (c)

    y2dx+(x− xy  − y2)dy = 0

    (d)

    (x2+y)dx = (y2+x)dy

  7. E [c.f(x)] = ___________ where c is a constant

    (a)

    E (f(c)

    (b)

    c. Ef(x)

    (c)

    E\(\left( \frac { f}{c } \right) \)

    (d)

    E(-fc)

  8. A discrete probability function p(x) is always non-negative and always lies between

    (a)

    0 and \(\infty \)

    (b)

    0 and 1

    (c)

    –1 and +1

    (d)

    –∞ and +∞

  9. If f(x) = kx(1-x), 0< x < 1 is a p.d.f. then the value of k is ________.

    (a)

    \(\frac{1}{5}\)

    (b)

    \(\frac{2}{5}\)

    (c)

    \(\frac{3}{5}\)

    (d)

    6

  10. If P(Z > z) = 0.5832 what is the value of z (z has a standard normal distribution)?

    (a)

    -0.48

    (b)

    0.48

    (c)

    1.04

    (d)

    -0.21

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