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

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. Cramer’s rule is applicable only to get an unique solution when _______.

    (a)

    \({ \triangle }_{ z }\neq 0\)

    (b)

    \({ \triangle }_{ x }\neq 0\)

    (c)

    \({ \triangle } \neq 0\)

    (d)

    \({ \triangle }_{ y }\neq 0\)

  2. \(\int _{ 2 }^{ 4 }{ \frac { dx }{ x } } \) is _______.

    (a)

    log 4

    (b)

    0

    (c)

    log 2

    (d)

    log 8

  3. If MR and MC denote the marginal revenue and marginal cost and MR − MC = 36x − 3x2 − 81 , then the maximum profit at x is equal to ________.

    (a)

    3

    (b)

    6

    (c)

    9

    (d)

    5

  4. The area bounded by the curve y = 4ax and the lines y2 = 2a and Y-axis is _______ sq. units.

    (a)

    \(\frac{2a}{3}\)

    (b)

    2a2

    (c)

    \(\frac{a^2}{3}\)

    (d)

    \(\frac{2a^2}{3}\)

  5. The variable separable form of \(\frac { dy }{ dx } =\frac { y(x-y) }{ x(x+y) } \) by taking y = vx and \(\frac { dy }{ dx } =v+x\frac { dv }{ dx } \) is ______.

    (a)

    \(\frac { 2{ v }^{ 2 } }{ 1+v } dv=\frac { dx }{ x } \)

    (b)

    \(\frac { 2{ v }^{ 2 } }{ 1+v } dv=-\frac { dx }{ x } \)

    (c)

    \(\frac { 2{ v }^{ 2 } }{ 1-v } dv=\frac { dx }{ x } \)

    (d)

    \(\frac { 1+v }{ 2{ v }^{ 2 } } dv=-\frac { dx }{ x } \)

  6. The degree of the differential equation \(\sqrt { 1+\left( \frac { { d }y }{ dx } \right) ^{ \frac { 1 }{ 3 } } } =\frac { { d }^{ 2 }y }{ dx^{ 2 } } \) is _____________

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    6

  7. E-nf(x) is ______________

    (a)

    F(x + nh)

    (b)

    F(x - nh)

    (c)

    F(-nh)

    (d)

    f(x - n)

  8. V(4X + 3) is _________

    (a)

    7

    (b)

    16V(X)

    (c)

    4V(X)

    (d)

    19

  9. Which of the following are correct?
    (i) E(aX+b) = a E(X) + b
    (ii) μ2= μ21 - (μ11)2
    (iii) μ2= variance
    (iv) V (a X + b) = a2 V(x)

    (a)

    all

    (b)

    i, ii and iii

    (c)

    ii and iii

    (d)

    i and iv

  10. If the variance of a Poisson distribution is 0.5. Then p(X = 3) is _________ (e-0.5= 0.6066)

    (a)

    0.1206

    (b)

    0.0126

    (c)

    0.1260

    (d)

    12.60

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