New ! Business Maths and Statistics MCQ Practise Tests



12th Standard English Medium Business Maths Reduced Syllabus Creative one Mark Question with Answerkey - 2021(Public Exam )

12th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Business Maths

Time : 01:00:00 Hrs
Total Marks : 50

    Part-A

    Multiple Choice Questions(Creative)

    50 x 1 = 50
  1. The value of \(\left| \begin{matrix} { 5 }^{ 2 } & { 5 }^{ 3 } & { 5 }^{ 4 } \\ { 5 }^{ 3 } & { 5 }^{ 4 } & { 5^{ 5 } } \\ { 5 }^{ 4 } & { 5 }^{ 5 } & { 5 }^{ 6 } \end{matrix} \right| \)

    (a)

    52

    (b)

    0

    (c)

    513

    (d)

    59

  2. If A is a singular matrix, then Adj A is ___________

    (a)

    non-singular

    (b)

    singular

    (c)

    symmetric

    (d)

    not defined

  3. \(\int { \frac { 2 }{ { \left( { e }^{ x }+{ e }^{ -x } \right) }^{ 2 } } } \) dx = ____________ +c 

    (a)

    \(\frac { { -e }^{ -x } }{ { e }^{ x }+{ e }^{ -x } } \)

    (b)

    \(-\frac { { -e }^{ -x } }{ { e }^{ x }+{ e }^{ -x } } \)

    (c)

    \(\frac { 1 }{ { \left( { e }^{ x }+1 \right) }^{ 2 } } \)

    (d)

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

  4. The anti-derivative of f(x) = \(\sqrt { x } +\frac { 1 }{ \sqrt { x } } \) is ___________ +c

    (a)

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

    (b)

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

    (c)

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

    (d)

    none

  5. The value of the integral \(\int _{ 0 }^{ \frac { \pi }{ 2 } }{ \frac { { \sqrt { cosx } } }{ \sqrt { cosx } +\sqrt { sinx } } } dx= \)

    (a)

    0

    (b)

    \(\frac { \pi }{ 2 } \)

    (c)

    \(\frac { \pi }{ 4 } \)

    (d)

    none of these

  6. The area bounded by y = 2x - x2 and X-axis is _________ sq. units

    (a)

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

    (b)

    \(\frac{4}{3}\)

    (c)

    2

    (d)

    4

  7. The area of the region bounded by the line 2y = -x + 8, X - axis and the lines x = 2 and x = 4 is ________ sq.units.

    (a)

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

    (b)

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

    (c)

    5

    (d)

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

  8. 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)

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

  9. If R' (x) = \(\frac{1}{x+1}\), then the revenue function is_________

    (a)

    log|x+1|+k

    (b)

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

    (c)

    \(\frac{1}{(x+1)^2}\)

    (d)

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

  10. The differential equation \(\left( \frac { dx }{ dy } \right) ^{ 2 }+5y^{ \frac { 1 }{ 3 } }\)= x is _____________

    (a)

    order 2 degree 

    (b)

    order 1 degree 2

    (c)

    order 1 degree 6

    (d)

    order 1 degree 3

  11. 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

  12. The degree of c =\(\frac { \left[ 1+\left( \frac { dy }{ dx } \right) ^{ 3 } \right] ^{ 2/3 } }{ \frac { d^{ 3 }y }{ dx^{ 3 } } } \) where c is a constant is _____________

    (a)

    1

    (b)

    3

    (c)

    -2

    (d)

    2

  13. The particular integral of the differential equation \(\frac { d^{ 2 }y }{ { dx }^{ 2 } } -5\frac { dy }{ dx } \)+6y=e5x is _______

    (a)

    \(\frac { e^{ 5x } }{ 6 } \)

    (b)

    \(\frac { xe^{ 5x } }{ 21 } \)

    (c)

    6e5x

    (d)

    \(\frac { { e }^{ 5x } }{ 25 } \)

  14. If c is a constant, then Δc = ______________

    (a)

    c.∆

    (b)

    c.∇

    (c)

    0

    (d)

    1

  15. Newton's forward interpolation formula is used when the value of y is required near the ______ of the table

    (a)

    end

    (b)

    beginning

    (c)

    left

    (d)

    right

  16. If the values of x are not at equi-distant then we can use ______________

    (a)

    Newton's forward interpolation

    (b)

    Newton's backward interpolation

    (c)

    Lagrange's formula

    (d)

    graphical method.

  17. For the given set of values; the value of ∆4y is ______________

    x 1 2 3 4 5
    y 1 8 27 64 125
    (a)

    7

    (b)

    12

    (c)

    6

    (d)

    0

  18. The backward difference operator ∇ is ______________

    (a)

    Nepla

    (b)

    Alpha

    (c)

    Gamma

    (d)

    Delta

  19. If Y is to be estimated for the values of x when lies outside the given set of the values of it is called _____________

    (a)

    Interpolation

    (b)

    extrapolation

    (c)

    forward interpolation

    (d)

    backward interpolation

  20. If y is to be estimated for the values of x which lies unside the given set of the values of it is called __________

    (a)

    Interpolation

    (b)

    extrapolation

    (c)

    Forward Interpolation

    (d)

    backward Interpolation

  21. In Newtons forward and backward interpolation formula, the first two terms will give the __________ interpolation

    (a)

    linear

    (b)

    parabolic

    (c)

    quadratic

    (d)

    cubic

  22. A random variable X has the following probability mass function

    X -2 3 1
    P(X=x) \(\frac{\lambda}{6}\) \(\frac{\lambda}{4}\) \(\frac{\lambda}{12}\)

    Then λ is

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

  23. A probability distribution function is defined by \(F(x)\begin{cases} 0,\ x<0 \\ 1-{ e }^{ -x },\ x\ge 0 \end{cases}\) The probability density function is __________

    (a)

    \(f(x)\begin{cases} { 3e }^{ -3x },\quad x\ge 0 \\ 0,\quad x<0 \end{cases}\)

    (b)

    \(\\ f(x)\begin{cases} { 1-e }^{ -3x },\quad x\ge 0 \\ 0,\quad x<0 \end{cases}\)

    (c)

    \(f(X)=0\forall x\)

    (d)

    f(x) = 3e - 3x\(\infty\)\(\infty\)

  24. If \(f(x)=\left\{\begin{array}{cc} \frac{A}{x}, & 1<x<e^{3} \\ 0, & \text { otherwise } \end{array}\right.\) is a p.d.f. of a continuous random variable. X then P(X≥e)

    (a)

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

    (b)

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

    (c)

    \(\frac{1}{6}\)

    (d)

    \(\frac{1}{8}\)

  25. A discrete random variable. X has the probability mass function p(x), then __________ is true.

    (a)

    0≤P(X)≤1

    (b)

    P(X)≥0

    (c)

    P(X)≤1

    (d)

    0

  26. If X is a discrete random variable. then P(X≥a)=________.

    (a)

    P(X

    (b)

    1-P(X≤a)

    (c)

    1-P(X

    (d)

    0

  27. If Z is a standard normal variate, then p(0

    (a)

    0.5

    (b)

    1

    (c)

    0.25

    (d)

    0.75

  28. In case of normal distribution, skewness is ___________

    (a)

    1

    (b)

    0

    (c)

    2

    (d)

    3

  29. 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

  30. In a binomial distribution if n = 5, p(x = 3) = 2. p(x = 2), then p = _________

    (a)

    2q

    (b)

    2p

    (c)

    q

    (d)

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

  31. If a random sample of size 64 is taken from a population whose standard deviation is 32, then the standard error of the mean is __________

    (a)

    0.5

    (b)

    2

    (c)

    4

    (d)

    32

  32. Out of 1000 T.V viewers, 320 watched a particular programme. Then the standard error is __________

    (a)

    -0.147

    (b)

    0.147

    (c)

    0.0147

    (d)

    -0.0147

  33. A sample of 100 students are drawn from 1550 student of a school. The mean weight and variance of the sample are 67.45 kg and 9 kg. Then the standard error is _________

    (a)

    .3

    (b)

    .9

    (c)

    .6745

    (d)

    6.745

  34. The point estimate variance of 21, 25, 20, 16, 12, 10, 17, 18, 13 and 11 is _______

    (a)

    23.5

    (b)

    2.35

    (c)

    4.85

    (d)

    48.5

  35. An _______ is a specific observed value of a statistic

    (a)

    Estimation

    (b)

    Estimator

    (c)

    Estimate

    (d)

    Testing of hypothesis

  36. The component of a time series which is attached to short term fluctuations is __________

    (a)

    Seasonal variations

    (b)

    Cyclic variation

    (c)

    Irregular variation

    (d)

    all the above

  37. Cyclic variations in a time series are caused by __________

    (a)

    Lock out in a factor

    (b)

    war

    (c)

    floods

    (d)

    none of above

  38. The terms prosperity, recession, depression  and recovery are in particular attached to __________

    (a)

    Secular trend

    (b)

    Seasonal fluctuation!

    (c)

    Cyclic movements

    (d)

    irregular variation

  39. Chance variation in the manufactured product is __________

    (a)

    controllable

    (b)

    not controllable

    (c)

    both (a) and (b)

    (d)

    none of these

  40. Variation due to assignable causes in the product occur due to, _____

    (a)

    faulty process

    (b)

    carelessness of operators

    (c)

    poor quality of raw material

    (d)

    all the above.

  41. In a line of best fit y = 5.8 (x - 1994) + 41.6, the value of y when x = 1997 is _____

    (a)

    50

    (b)

    54

    (c)

    59

    (d)

    60

  42. The normal equations of fitting a straight line y = ax+ b are 10a + 5b = 15 and 30a + 10b = 43. The slope of the line of best fit is _____

    (a)

    1.2

    (b)

    1.3

    (c)

    13

    (d)

    12

  43. Chance variation does not affect _____ of the product

    (a)

    price

    (b)

    value

    (c)

    quantity

    (d)

    quality

  44. Choose the odd one out

    (a)

    It aims at a certain quality level to be guaranteed to the customers

    (b)

    It is easy to interpret

    (c)

    It is easy to construct

    (d)

    It has three control lines

  45. The components used in the time series y = T + S + C + l are __________

    (a)

    seasonal

    (b)

    secular

    (c)

    trend value

    (d)

    original value

  46. In least cost method if the minimum cost is not unique then the choice can be made as ___________

    (a)

    arbitrarily

    (b)

    unique

    (c)

    difference

    (d)

    summation

  47. The optimum_______schedule remains, unaltered if we add or subtract a constant from all the elements of the row or which of the cost________matrix.

    (a)

    transportation

    (b)

    assignment

    (c)

    unique

    (d)

    optimal

  48. ______ method provides optimum assignment schedule in an assignment problem.

    (a)

    North West Corner

    (b)

    Least cost

    (c)

    Vogel's Approximation Method

    (d)

    Hungarian Method

  49. The methods of funding feasible solution to a transportation problem ___________

    (a)

    North West Corner Rule

    (b)

    Least Cost Method

    (c)

    Hungarian Method

    (d)

    Vogel's Approximation Method

  50. The penalty is the difference between the ___ costs in each row and column.

    (a)

    smallest

    (b)

    biggest

    (c)

    minimum

    (d)

    least

*****************************************

Reviews & Comments about 12th Standard English Medium Business Maths Reduced Syllabus Creative one Mark Question with Answerkey - 2021(Public Exam )

Write your Comment