Plus One Public Exam March 2019 One Mark Question Paper

11th Standard

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Business Maths

Time : 00:30:00 Hrs
Total Marks : 50
    50 x 1 = 50
  1. The co-factor of -7 in the determinant \(\begin{vmatrix} 2 & -3 & 5 \\ 6 & 0 & 4 \\ 1 & 5 & -7 \end{vmatrix}\) is

    (a)

    -18

    (b)

    18

    (c)

    -7

    (d)

    7

  2. If \(\triangle=\begin{vmatrix} 1 & 2 & 3 \\ 3 & 1 & 2 \\ 2 & 3 & 1 \end{vmatrix}\) then \(\begin{vmatrix} 3 & 1 & 2 \\ 1 & 2 & 3 \\ 2 & 3 & 1 \end{vmatrix}\) is

    (a)

    \(\triangle\)

    (b)

    -\(\triangle\)

    (c)

    3\(\triangle\)

    (d)

    -3\(\triangle\)

  3. adj (AB) is equal to

    (a)

    adj A adj B

    (b)

    adj AT adj BT

    (c)

    adj B adj A

    (d)

    adj BT adj AT

  4. If A and B are non-singular matrices then, which of the following is incorrect?

    (a)

    A2 = Iimplies A-1 = A

    (b)

    I-1 = I

    (c)

    If AX = B, then X = B-1 A

    (d)

    If A is square matrix of order 3 then |adj A|= |A|2

  5. If A is a square matrix of order 3 and IAI = 3 then | adj A| is equal to

    (a)

    81

    (b)

    27

    (c)

    3

    (d)

    9

  6. The number of diagonals in a polygon of n seates is equal to

    (a)

    nC2

    (b)

    nC2 - 2

    (c)

    nC2 - n

    (d)

    nC2 - 1

  7. The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n \(\in\) N is

    (a)

    2

    (b)

    6

    (c)

    20

    (d)

    24

  8. For all n > 0, nC1 + nC2 + nC3 + ... +nCn is equal to

    (a)

    2n

    (b)

    2n- 1

    (c)

    n2

    (d)

    n2 - 1

  9. The number of ways to arrange the letters of the word "CHEESE" is

    (a)

    120

    (b)

    240

    (c)

    720

    (d)

    6

  10. 13 guests have participated in a dinner. The number of handshakes happened in the dinner is

    (a)

    715

    (b)

    78

    (c)

    286

    (d)

    13

  11. The angle between the pair of straight lines x2 - 7xy + 4y2 = 0

    (a)

    \(tan^{-1}\left(1\over 3\right)\)

    (b)

    \(tan^{-1}\left(1\over 2\right)\)

    (c)

    \(tan^{-1}\left(\sqrt{33}\over 5\right)\)

    (d)

    \(tan^{-1}\left(5\over\sqrt{33}\right)\)

  12. Length of the latus rectum of the parabola y2 = - 25x is

    (a)

    25

    (b)

    -5

    (c)

    5

    (d)

    -25

  13. Combined equation of co-ordinate axes is

    (a)

    x2-y2=0

    (b)

    x2+y2=0

    (c)

    xy=c

    (d)

    xy=0

  14. If the circle touches x axis, y axis and the line x = 6 then the length of the diameter of the circle is

    (a)

    6

    (b)

    3

    (c)

    12

    (d)

    4

  15. The eccentricity of the parabola is

    (a)

    3

    (b)

    2

    (c)

    0

    (d)

    1

  16. If \(\tan\theta=\frac{1}{\sqrt5}\) and \(\theta\) lies in the first quadrant, then \(\cos\theta\) is

    (a)

    \(\frac{1}{\sqrt6}\)

    (b)

    \(\frac{-1}{\sqrt6}\)

    (c)

    \(\frac{\sqrt5}{\sqrt6}\)

    (d)

    \(\frac{-\sqrt5}{\sqrt6}\)

  17. The value of \(\cos(-480^o)\) is

    (a)

    \(\sqrt3\)

    (b)

    \(-\frac{\sqrt3}{2}\)

    (c)

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

    (d)

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

  18. \(\sec^{-1}\frac{2}{3}+cosec^{-1}\frac{2}{3}=\)

    (a)

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

    (b)

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

    (c)

    \(\pi\)

    (d)

    \(-\pi\)

  19. If \(\tan A=\frac{1}{2}\) and \(\tan B=\frac{1}{3}\) then tan(2A+B) is equal to

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

  20. \(\sin\left(\cos^{-1}\frac{3}{5}\right)\) is

    (a)

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

    (b)

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

    (c)

    \(\frac{4}{5}\)

    (d)

    \(\frac{5}{4}\)

  21. The graph of the line y = 3 is

    (a)

    Parallel to x-axis

    (b)

    Parallel to y-axis

    (c)

    Passing through the origin

    (d)

    Perpendicular to x-axis

  22. Which of the following function is neither even nor odd?

    (a)

    f(x) = x3 + 5

    (b)

    f(x) = x5

    (c)

    f(x) = x10

    (d)

    f(x) = x2

  23. \(\lim _{ x\rightarrow \infty }{ \frac { \tan { \theta } }{ \theta } } =\)

    (a)

    1

    (b)

    \(\infty\)

    (c)

    \(-\infty\)

    (d)

    \(\theta\)

  24. A function f(x) is continuous at x = a if \(\lim _{ x\rightarrow a }{ f\left( x \right) } \) is equal to

    (a)

    f(-a)

    (b)

    f\((\frac{1}{a})\)

    (c)

    2f(a)

    (d)

    f(a)

  25. If y = log x then y2 =

    (a)

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

    (b)

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

    (c)

    \(-\frac{2}{x^2}\)

    (d)

    e2

  26. Instantaneous rate of change of y = 2x2 + 5x with respect to x at x = 2 is

    (a)

    4

    (b)

    5

    (c)

    13

    (d)

    9

  27. if u = 4x2 + 4xy + y2 + 32 + 16 , then \(\frac { \partial ^{ 2 }u }{ \partial y\partial x } \) is equal to

    (a)

    8x + 4y + 4

    (b)

    4

    (c)

    2y + 32

    (d)

    0

  28. If u = \({ e }^{ { x }^{ 2 } }\) then \(\frac { \partial u }{ \partial x } \) is equal to

    (a)

    \({ 2x }e^{ { x }^{ 2 } }\)

    (b)

    \({ e }^{ { x }^{ 2 } }\)

    (c)

    \({2 e }^{ { x }^{ 2 } }\)

    (d)

    0

  29. Average cost is minimum when

    (a)

    Marginal cost = marginal revenue

    (b)

    Average cost = marginal cost

    (c)

    Average cost = Marginal revenue

    (d)

    Average Revenue = Marginal cost

  30. The demand function is always

    (a)

    Increasing function

    (b)

    Decreasing function

    (c)

    Non-decreasing function

    (d)

    Undefined function

  31. A man received a total dividend of Rs 25,000 at 10% dividend rate on a stock of face value Rs.100, then the number of shares purchased.

    (a)

    3500

    (b)

    4500

    (c)

    2500

    (d)

    300

  32. Market price of one share of face value 100 available at a discount of \(9\frac{1}{2}\%\) with brokerage \(\frac{1}{2}\%\) is

    (a)

    Rs 89

    (b)

    Rs 90

    (c)

    Rs 91

    (d)

    Rs 95

  33. A person brought a 9% stock of face value Rs 100, for 100 shares at a discount of 10%, then the stock purchased is

    (a)

    Rs 9000

    (b)

    Rs 6000

    (c)

    Rs 5000

    (d)

    Rs 4000

  34. Rs 5000 is paid as perpetual annuity every year and the rate of C.I 10 %. Then present value P of immediate annuity is

    (a)

    Rs 60,000

    (b)

    Rs 50,000

    (c)

    Rs 10,000

    (d)

    Rs 80,000

  35. A invested some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of

    (a)

    Rs 80

    (b)

    Rs 115.20

    (c)

    Rs 120

    (d)

    Rs 125.40

  36. The best measure of central tendency is

    (a)

    Arithmetic mean

    (b)

    Harmonic mean

    (c)

    Geometric mean

    (d)

    Median

  37. The harmonic mean of the numbers 2,3,4 is

    (a)

    \(\frac { 12 }{ 13 } \)

    (b)

    2

    (c)

    \(\frac { 36 }{ 13 } \)

    (d)

    \(\frac { 13 }{ 36 } \)

  38. Harmonic mean is better than other means if the data are for

    (a)

    Speed or rates.

    (b)

    Heights or lengths.

    (c)

    Binary values like 0 and 1.

    (d)

    Ratios or proportions.

  39. If median = 45 and its coefficient is 0.25, then the mean deviation about median is

    (a)

    11.25

    (b)

    180

    (c)

    0.0056

    (d)

    45

  40. The probability of drawing a spade from a pack of card is

    (a)

    1/52

    (b)

    1/13

    (c)

    4/13

    (d)

    1/4

  41. If the values of two variables move in same direction then the correlation is said to be

    (a)

    Negative

    (b)

    positive

    (c)

    Perfect positive

    (d)

    No correlation

  42. The variable whose value is influenced or is to be predicted is called

    (a)

    dependent variable

    (b)

    independent variable

    (c)

    regressor

    (d)

    explanatory variable

  43. The regression coefficient of X on Y

    (a)

    bxy=\(\frac { N\Sigma dxdy-(\Sigma dx)(\Sigma dy) }{ N\Sigma dy^{ 2 }-(\Sigma dy)^{ 2 } } \)

    (b)

    byx=\(\frac { N\Sigma dxdy-(\Sigma dx)(\Sigma dy) }{ N\Sigma dy^{ 2 }-(\Sigma dy)^{ 2 } } \)

    (c)

    bxy=\(\frac { N\Sigma dxdy-(\Sigma dx)(\Sigma dy) }{ N\Sigma dx^{ 2 }-(\Sigma dx)^{ 2 } } \)

    (d)

    bxy=\(\frac { N\Sigma xy-(\Sigma x)(\Sigma y) }{ \sqrt { N\Sigma { x }^{ 2 }-(\Sigma x)^{ 2 }\times \sqrt { N\Sigma y^{ 2 }-(\Sigma y)^{ 2 } } } } \)

  44. If X and Y are two variates, there can be atmost

    (a)

    One regression line

    (b)

    two regression lines

    (c)

    three regression lines

    (d)

    more regression lines

  45. Scatter diagram of the variate values (X,Y) give the idea about

    (a)

    functional relationship

    (b)

    regression model

    (c)

    distribution of errors

    (d)

    no relation

  46. In a network while numbering the events which one of the following statement is false?

    (a)

    Event numbers should be unique

    (b)

    Event numbering should be carried out on a sequential basis from left to right

    (c)

    The initial event is numbered 0 or 1

    (d)

    The head of an arrow should always bear a number lesser than the one assigned at the tail of the arrow

  47. The minimum value of the objective function Z = x + 3y subject to the constraints 2x + y ≤20, x + 2y ≤ 20,x > 0 and y > 0 is

    (a)

    10

    (b)

    20

    (c)

    0

    (d)

    5

  48. Which of the following is not correct?

    (a)

    Objective that we aim to maximize or minimize

    (b)

    Constraints that we need to specify

    (c)

    Decision variables that we need to determine

    (d)

    Decision variables are to be unrestricted

  49. The objective of network analysis is to

    (a)

    Minimize total project cost

    (b)

    Minimize total project duration

    (c)

    Minimize production delays, interruption and conflicts

    (d)

    All the above

  50. Network problems have advantage in terms of project

    (a)

    Scheduling

    (b)

    Planning

    (c)

    Controlling

    (d)

    All the above

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