Business Mathematics & Statistics (MTH302)

1. Class width of the given data is defined as ratio of

   1. Range and number of values in the given data
   2. Range and the number of classes
   3. Range and mid point/value
   4. None of the given

2. Ahmed got 65 marks in mathematics in the first term exam. If he gets 80 marks in the mid term exam in the same subject, what is the percentage increase in the marks?

   1. 20.50%
   2. 23.10%
   3. 25.50%
   4. 26.20%

3. FREQUENCY Function calculates how often values occur within a range of values.

   1. True
   2. False

4. More than one discount may be allowed on an item. In such case, first discount is allowed on the total price of the article and then the second discount is allowed on the amount payable

   1. after first discount
   2. before first discount
   3. both are offered at the same time
   4. None of the given

5. The frequency of the required class can be obtained from the cumulative frequency

   1. by subtracting the cumulative frequency of the relative class from the next cumulative frequency
   2. by subtracting the cumulative frequency of the relative class from the total frequency
   3. by subtracting the cumulative frequency of the relative class from the previous cumulative frequency
   4. None of the given

6. If a matrix B with dimension 3x1. Then, which of the following is true for B?

   1. It is a row matrix.
   2. It is a square matrix.
   3. It is a column matrix.
   4. It is an identity matrix.

7. The equation for the intercept of the regression line is Y=a+bX where b is

   1. Intercept
   2. Slope
   3. Equation
   4. Dependant variable

8. If the data collected from a factory in three shifts; morning, afternoon and evening for four days. Then average of one day is known as

   1. Moving Average
   2. Weighted average
   3. Both 1 and 2
   4. None of the given

9. In negatively skewed distribution the true relation is

   1. A.M < MEDIAN < MODE
   2. A.M > MEDIAN > MODE
   3. A.M = MEDIAN = MODE
   4. None of the given

10. The syntax slope (known y’s , known x’s) gives

    1. regression coefficient of y on x
    2. regression coefficient of x on y
    3. Both 1 and 2 are same
    4. None of the given

11. Which of the following is the better average?

    1. arithmetic mean
    2. geometric mean
    3. harmonic mean
    4. all of the given

12. The regression equation is the line with slope passing through

    1. The point (bar(x),bar(y))
    2. The point (x,y)
    3. The point (y,x)
    4. The point (bar(y),bar(x))

13. While solving the problem of selling price, following formula is entered in a cell on excel sheet as “=(1+A18/100)*A17”,where

    1. (1+A18/100) is the multiplication factor.
    2. (A18/100) is the %markup in fraction
    3. Both (a) and (b) are correct
    4. Both (a) and (b) are incorrect

14. The syntax intercept (known y’s, known x’s) gives

    1. x- intercept
    2. y- intercept
    3. Both 1 and 2 are same
    4. None of the given

15. Increase 60 by 20%, then increased value is ________.

    1. 74
    2. 75
    3. 72
    4. 73

16. By ________ company evaluates that for every rupee generated in sales, how much is left over to cover basic operating costs and profit.

    1. markup
    2. margin
    3. markup & margin
    4. percent on cost

17. In scatter diagram, clustering of points around a straight line indicates

    1. Linear regression
    2. Non-linear regression
    3. Curvilinear linear regression
    4. Both 1 and 2

18. nCn =___________

    1. nC0
    2. 2
    3. 3
    4. None of the given

19. If the cost of a certain goods item is Rs. 2400 and its selling price is Rs. 4500 then the markup rate is

    1. (4500-2400)/2400
    2. (4500-2400)4500 *100
    3. (4500-2400)/2400*100
    4. (4500-2400)/4500

20. A statistical measure of the variability of a distribution around its mean is referred to as

    1. A probability distribution
    2. The standard deviation
    3. The expected return
    4. Coefficient of variation

21. A coat that cost 1700 Rs.To make the desired profit, 60% Markup on cost is needed. What is its Selling price?

    1. 2120 Rs
    2. 2520 Rs
    3. 2720 Rs
    4. 2920 Rs

22. Trimmed mean is the mean of ________.

    1. The remaining data
    2. The middle data
    3. The data from last
    4. None of the given

23. A television sells for Rs 3200, if there is 60% markup on selling price then the cost of the television is

    1. 1280
    2. 1160
    3. 1500
    4. 1560

24. Which of the following correlation coefficients represents the weakest correlation between two variables?

    1. 0.15
    2. -0.15
    3. 0.02
    4. -1.00

25. Contribution rate is equal to

    1. Contribution Margin per unit /Cost price per unit * 100
    2. Contribution Margin per unit /Sale price per unit*100
    3. Contribution Margin per unit /List price per unit*100
    4. Contribution Margin per unit /Purchase price per unit * 100

26. Gross Salary is same as Take Home Salary.

    1. TRUE
    2. FALSE

27. A company gives 29% of gross salary as social charges to its employee. If social charges worth 377Rs, what is employee's GROSS SALARY?

    1. 377×100/29
    2. 377/29
    3. 29/(377×100)
    4. 29/377

28. A marker that was bought for Rs. 60 was marked up 15% of the sale price. What is original sale price?

    1. 70
    2. 71
    3. 74
    4. None of the given

29. For mutually exclusive events A and B

    1. Probability of A intersection B > 0
    2. Probability of A intersection B < 0
    3. Probability of A intersection B = 0
    4. None of the given

30. Data of how many variables is presented by the line graph?

    1. one
    2. two
    3. three
    4. four

31. The equation of regression line is y + 5x = 0. What will be the intercept?

    1. 5
    2. 1
    3. 0
    4. -5

32. The rate of change along the regression line is called

    1. Linear regression
    2. Non Linear regression
    3. Slope
    4. Curve

33. Ms. Faiza calculated a correlation coefficient of .75. Which of the following reflects the best interpretation of this?

    1. Weak negative
    2. Strong negative
    3. Weak positive
    4. Strong positive

34. The price of a car is Rs. 400000. The manufacturer offers a 20% trade discount. Then net price is

    1. 320000
    2. 310000
    3. 300000
    4. None of the given

35. For a data, if mean > median then its distribution is

    1. asymmetrical
    2. symmetrical
    3. left asymmetrical
    4. right asymmetrical

36. If the graph is very much scattered, then what can be the suitable value of r?

    1. r = - 0.9
    2. r = -0.5
    3. r = 0.1
    4. r = 0.8

37. What is not a characteristic of poisson distribution.

    1. Either/or situation.
    2. mean number of successes per unit,m,known and fixed.
    3. p,chance unknown and large
    4. None of the given

38. ________ use the division of a circle into different sectors.

    1. Line graph
    2. Sector graphs
    3. Frequency Polygon
    4. Conversion Graphs

39. Which of the following reveals the weakest fact.

    1. The measure of central tendency measures that value which depends only on the extreme values
    2. The measure of central tendency measures that value in tha data which occurs in the data most frequent times.
    3. The measure of central tendency measures the value which has tendency to lie in the central part of the data.
    4. The measure of central tendency measures the distance of values from means

40. Find Simple Interest for 3 years at a rate of 5% on $2,000.

    1. $30
    2. $300
    3. $2,300
    4. $3,000

41. The sum of the deviations about the mean are always ______.

    1. Negative
    2. Zero
    3. Positive
    4. None of the given

42. ________ measures the strength of thelinear relationship between the dependent and the independent variable.

    1. Simple correlation coefficient
    2. Distance value
    3. Y intercept
    4. Normal plot

43. Poisson probabilty density function has ________ parameter(s)

    1. 0
    2. 1
    3. 2
    4. None of the given

44. If a stock broker buys 200 shares at the rate of Rs.50 per share with a 3% commission then calculate his total cost

    1. 10,000
    2. 300
    3. 10,300
    4. 9,700

45. In binomial distribution, each observation represents

    1. One of two outcomes ("success" or "failure")
    2. Only one outcome ("success")
    3. Only one outcome ("failure")
    4. None of the given

46. If the value of r is 0.8, then the coefficient of determination is

    1. 67%
    2. 64%
    3. 80%
    4. 75%

47. Round 3.1456 to 3 decimal places.

    1. 3
    2. 3.14
    3. 3.146
    4. 3.145

48. If the standard deviation of a population is 9, the population variance is

    1. 3
    2. 9
    3. 21.35
    4. 81

49. The equation of the regression line is 2y + 5x – 3 = 0. What will be the slope and intercept of the line?

    1. slope = -5, intercept = 3
    2. slope = 5, intercept = -3
    3. slope = -2.5, intercept = 1.5
    4. slope = 2.5, intercept = -1.5

50. If the dependent variable increases with the independent variable then the coefficient of correlation is

    1. 0 to -1
    2. 0 to – 0.5
    3. 0 to -2
    4. 0 to 1

51. If a dice is thrown then the probability of getting an odd number or an even number is

    1. 1/2
    2. 1/3
    3. 1
    4. None of the given

52. A full ________ is 360 degrees.

    1. Parabola
    2. Sphere
    3. Circle
    4. Cone

53. Suppose we developed the following least squares regression equation: Y = 3.5 +2.1X. Which of the following statements iscorrect?

    1. The dependent variable increases 2.1 for an increase of 1 in X
    2. The equation crosses the Y-axis at 3.
    3. If X = 5, then Y =14.
    4. X and Y are inversely proportional

54. If many data points are close to the mean, then the standard deviation is ______.

    1. 0
    2. Small
    3. Large
    4. Middle value

55. The Marks of mathematics on weekly basis for three months Period Marks Moving Averages Month 1 Week 1 70 Week 2 60? Week 3 65 ? Month 2 Week 1 80? Week 282? Week 3 85 ? Month 3 Week 1 60 ? Week 2 75? Week 380. The Moving Averages will be ________.

    1. 65 68.3 75.7 82.3 75.7 73.3 71.7
    2. 65 70 75.7 82.3 71 72 71.7
    3. 65 71 73 82.3 75.7 73.3 71.7
    4. 65 68.3 70 72 73 73.3 71.7

56. If actual value is 180 and trend is 150, the seasonal variation is

    1. 30
    2. 40
    3. -30
    4. -45

57. For the regression line: Y = -X + 5, y-intercept is

    1. -5
    2. 5
    3. -1
    4. 1

58. In scatter diagram the dependent variable is plotted on the

    1. x-axis
    2. y-axis

59. In correlation analysis

    1. We consider several independent variables.
    2. We study the strength of the association between two variables.
    3. We consider the intercept with the Y-axis.
    4. We consider only one independent variables.

60. If A and B are two square matrices. Then, at what condition they are the inverses of each other?

    1. If their products, in both orders, is a rectangular matrix.
    2. If their products, in both orders, is an identity matrix.
    3. If their products, in both orders, is a scalar matrix.
    4. If their products, in both orders, is a zero matrix.

61. For the regression line: Y = a + bX, 'a' is the

    1. Slope of the regression line
    2. y-intercept
    3. x-intercept
    4. None of the given

62. Which of the following convert 0.4 to percent?

    1. (0.4 / 100) %
    2. (0.4 × 100) %
    3. (0.4 + 100) %
    4. (0.4 - 100) %

63. Different ways of organizing univariate categorical data are

    1. The Summary Table
    2. Bar and Pie Charts, the Pareto Diagram
    3. Contingency Tables
    4. Only option 1 & 2

64. If the net price of a printer is Rs. 2000 after 20% trade discount. Then what is the list price?

    1. Rs. 1600
    2. Rs. 1667
    3. Rs. 2100
    4. Rs. 2500

65. A moving average is one of a family of similar techniques used to analyze

    1. Time series data
    2. Correlation data
    3. Regression model
    4. Fitting a curve

66. Plot scatter diagram helps us in finding the relationship b/w

    1. Two variables
    2. Three variables
    3. Constant & a variable
    4. Median & Mode

67. In Positively Skewed Distribution, which of the following is true

    1. Mean > median > mode
    2. Mode > median > mean
    3. Mean > mode > median
    4. None of the given

Select a course code for Objective Questions:

ACC311 ACC501 BIF101 BIF401 BIF501 BIO101 BIO201 BIO202 BIO203 BIO204 BIO301 BIO302 BIO303 BIO401 BIO503 BNK603 BT101 BT201 BT301 BT302 BT401 BT402 BT403 BT404 BT405 BT406 BT501 BT504 BT505 BT604 CHE201 CHE301 CS001 CS101 CS201 CS202 CS204 CS301 CS302 CS304 CS311 CS401 CS402 CS403 CS408 CS501 CS502 CS504 CS506 CS508 CS601 CS602 CS604 CS605 CS607 CS609 CS610 CS614 CS707 CS710 ECO401 ECO402 ECO403 ECO404 EDU302 EDU401 EDU402 EDU501 EDU601 ENG101 ENG201 ENG301 ENG501 FIN611 FIN624 FIN625 ISL201 IT430 MCM101 MCM301 MGMT623 MGT101 MGT211 MGT301 MGT401 MGT402 MGT501 MGT502 MGT503 MGT510 MGT601 MGT603 MKT501 MKT610 MKT630 MTH101 MTH202 MTH302 MTH501 MTH601 MTH634 PAK301 PHY101 PHY301 PSY101 PSY403 PSY502 PSY512 SOC101 SOC301 SOC401 STA301 STA630 STA641 ZOO102 ZOO401 ZOO501 ZOO502 ZOO503 ZOO504 ZOO505 ZOO506 ZOO510 ZOO630

Select a course code for Subjective Questions:

ACC311 CS001 CS101 CS201 CS301 CS607 CS701 CS702 CS703 CS704 CS707 CS708 CS710 CS711 CS718 CS721 CS724 ECO401 ECO403 ENG101 ENG301 MGT703 MTH501 STA301