FINALTERM EXAMINATION
Spring 2009
MTH302- Business Mathematics & Statistics (Session - 2)
Time: 120 min
Marks: 80
Student Info | |
Center: | OPKST |
ExamDate: | |
For Teacher's Use Only | |||||||||
Q No. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | Total |
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Q No. | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | |
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Q No. | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | |
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Q No. | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | |
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Q No. | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | |
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Q No. | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | |
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Q No. | 49 | 50 | |||||||
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Question No: 1 ( Marks: 1 ) - Please choose one
The Basic salary of an employee is Rs 7,000. What is the contribution of the company on account of gratuity to the Gratuity Trust Fund? ► Rs 636.36
► Rs 6363.6
► Rs 63.636
► Rs 6363
Question No: 2 ( Marks: 1 ) - Please choose one
An arrangement of data by successive time periods is called a ►Exponential Smoothing
►Time Series
►Combination
►Permutation
Question No: 3 ( Marks: 1 ) - Please choose one
The graph of time series is called ►Straight line
►Smooth Curve
►Parabola
►Histogram
Question No: 4 ( Marks: 1 ) - Please choose one
When a straight is fitted to time series data, it is called ►Linear equation
►Linear regression
►Linear trend
►Non-Linear equation
Question No: 5 ( Marks: 1 ) - Please choose one
What variation does moving average method eliminate?►Seasonal
►Cyclical
►Irregular
►Secular trend
Question No: 6 ( Marks: 1 ) - Please choose one
The temperature was 30°C in the afternoon and the temperature dropped to 26°C in the evening. Find the percentage change in the temperature. ►13.33%
►15%
►14.26%
►12%
Question No: 7 ( Marks: 1 ) - Please choose one
Observed errors, which represent information from the data which is not explained by the model, are called?►Marginal values
►Residuals
►Mean square errors
►Standard errors
Question No: 8 ( Marks: 1 ) - Please choose one
An insurance company wants to predict sales from the amount of money they spend on advertising. Which would be the independent variable?►(i) sales
►(ii) advertising
►(iii) insufficient information to decide
►(iv) Both (i) and (ii) are correct.
Question No: 9 ( Marks: 1 ) - Please choose one
Frequency of occurrence is used in finding the ►weighted mean
►median
►mode
►variance
Question No: 10 ( Marks: 1 ) - Please choose one
If the equation of regression line is y = 5, then what result will you take out from it?►The line passes through origin.
►The line passes through (5, 0)
►The line is parallel to y-axis.
►The line is parallel to x-axis
Question No: 11 ( Marks: 1 ) - Please choose one
Which of the following graphs is a visual presentation using horizontal or vertical bars to make comparisons or to show relationships on items of similar makeup? ► bar graph
► pie graph
► pictograph
► line graph
Question No: 12 ( Marks: 1 ) - Please choose one
In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together? ► 10! - 2!
► 9! - 2!
► 10! - 9!
► None of these
Question No: 13 ( Marks: 1 ) - Please choose one
Which of the following describe the middle part of a group of numbers? ► Measures of central tendency
► measures of variability
► measures of shape
► measures of association
Question No: 14 ( Marks: 1 ) - Please choose one
In the ► 18%
► 20%
► 25%
► None of these
Question No: 15 ( Marks: 1 ) - Please choose one
The midrange is not greatly affected by outliers ► False
► True
Question No: 16 ( Marks: 1 ) - Please choose one
In which of the following form, can the probability be written?
► fraction
► decimal
► percentage
► All of these.
Question No: 17 ( Marks: 1 ) - Please choose one
The moving averages of the Prices 90,70,30,110 are ► 63.33, 70
► 73.33,80
► 45.45, 68
► 65.50, 75
Question No: 18 ( Marks: 1 ) - Please choose one
Sum of annuity is always ► Present value
► Future value
► Net present value
► Current value
Question No: 19 ( Marks: 1 ) - Please choose one
Write a formula to find the simple interest (I) if $5000 is invested at 4% for 2 years. ► I=PRT
► I=P+R+T
► I=PT
► I=P(R+T)
Question No: 20 ( Marks: 1 ) - Please choose one
Solve 3x = 27 for x ► 0.9
► 6
► 18
► 9
Question No: 21 ( Marks: 1 ) - Please choose one
If the value of r is zero then the graph of the data points shows ► evenly skewness
► positively scattered
► no associations
► negative associations
Question No: 22 ( Marks: 1 ) - Please choose one
The minimum number of points required to calculate the intercept of a straight line is/are ► one
► two
► three
► one or theree
Question No: 23 ( Marks: 1 ) - Please choose one
What will be the rate of 20 as a base and percentage is 25? ► 120%
► 125%
► 130%
► None of these
Question No: 24 ( Marks: 1 ) - Please choose one
The value of x after solving the following linear equation is -2x + 6 = 4x - 2
► 0
► 3
► 1/2
► 4/3
Question No: 25 ( Marks: 1 ) - Please choose one
Order of a Matrix = ► Number of Columns xNumber of Rows
► Number of Rows / Number of Columns
► Number of Rows x Number of Columns
► None of these
Question No: 26 ( Marks: 1 ) - Please choose one
Markdown means a reduction from the ► Original cost price
► Original sale price
► Original Net price
► None of these
Question No: 27 ( Marks: 1 ) - Please choose one
If an asset is purchased at Rs 3000 on the date 6/29/2008 and the first depreication period ends on 11/29/2008, where salvage value is 300 and period is taken as 1 on 20% interest rate where basis =1, then which of the following function Returns the depreciation for given accounting period ► =AMORLINC(3000, 6/29/2008 , 11/29/2008 , 300, 1*12, 20%, 1)
► =AMORLINC(3000, 6/29/2008 , 11/29/2008 , 300, 1, 20% / 12 , 1)
► =AMORLINC(3000, 6/29/2008 , 11/29/2008 , 300, 1, 20%, 1)
► =AMORLINC(3000, 6/29/2008 , 11/29/2008 , 300, 1*12 , 20%/12, 1)
► None of these
Question No: 28 ( Marks: 1 ) - Please choose one
Which of the following is the system of linear equations?
► 4 x + 6 y = 9
► 3 x2 + 5 y2 = 7 , x + y = 8
► 5 x + 7 y = 12, 2 x + 8 y = 10
► 2 x 2 – 5 x + 7 = 0
Question No: 29 ( Marks: 1 ) - Please choose one
To find average of numbers given in figure ,one can apply the excel formula
► =AVERAGE(E12:E13)
► =AVERAGE(E5:E12)
► =SUMIF(E5:E12)
► =DSUM(E5:E12)
Question No: 30 ( Marks: 1 ) - Please choose one
An arrangement of all or some of a set of objects in a ….. order is called permutation. ► Definite
► Indefinite
► Same
► Different
Question No: 31 ( Marks: 1 ) - Please choose one
6!....... ► 720
► 620
► 420
► 520
Question No: 32 ( Marks: 1 ) - Please choose one
Expected = ……. ► Trend - Seasonal
► Trend + Seasonal
► Trend * Seasonal
► Trend / Seasonal
Question No: 33 ( Marks: 1 ) - Please choose one
Random = ……. ► Actual / expected
► Actual +expected
► Actual * expected
► Actual - expected
Question No: 34 ( Marks: 1 ) - Please choose one
The standard deviation is ► a measure of variability.
► the square root of the variance.
► twice the standard error.
► half the range.
Question No: 35 ( Marks: 1 ) - Please choose one
Coefficient of variation shows dispersion of the ► standard deviation about mean.
► standard deviation about mode.
► variance about mean.
► variance about mode.
Question No: 36 ( Marks: 1 ) - Please choose one
If a hypothesis specifies the population distribution is called ► composite hypothesis
► test statistic
► alternative hypothesis
► simple hypothesis
Question No: 37 ( Marks: 1 ) - Please choose one
Which distribution is most commonly used to model the number of random occurrences of some phenomenon in a specified unit of space or time?
► Normal Distribution
► Binomial Distribution
► Poisson Distribution
► Negative Binomial Distribution
Question No: 38 ( Marks: 1 ) - Please choose one
A regression equation was computed to be Y = 35 + 6X,the value of 35 indicates that ► An increase in one unit of X will result in an decrease of 35 in Y
► The coefficient of correlation is 35
► The coefficient of determination is 35
► The regression line crosses the Y-axis at 35
Question No: 39 ( Marks: 1 ) - Please choose one
Chi-distribution is used to decide whether or not certain variables are ► Dependent
► Independent
► Discrete
► Continuous
Question No: 40 ( Marks: 1 ) - Please choose one
Time series data is analyzed by the moving average.
► True
► False
Question No: 41 ( Marks: 2 )
A student is chosen at random from a class of 16 girlsand 14 boys. What is the probability that the student
chosen is not a girl?
Question No: 42 ( Marks: 2 )
For the marks obtained by 9 students ,given Q1 = 56 marks ,Q2= 65 marks , Q3= 74 marks .Find Q.D .Question No: 43 ( Marks: 2 )
Describe the difference between Poisson distribution and Cumulative Poisson Distribution.
Question No: 44 ( Marks: 3 )
Eleven subjects carried out the same task using a pocket calculator. The times (in seconds) taken were: 69, 75, 83, 58, 95, 72, 86, 88, 77, 79, 90. Find the range & median . Question No: 45 ( Marks: 3 )
Find the trends in the data below: 
Question No: 46 ( Marks: 3 )
A random sample of size n is drawn from normal population with mean 6 and S.D 1.2; if z = 4, 
8 what is n?
8 what is n? Question No: 47 ( Marks: 5 )
Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. x y
1 143
3 116
5 100
7 98
9 90
Question No: 48 ( Marks: 5 )
Find the probability that a man flipping a coin gets the sixth head on the tenth flip.
Question No: 49 ( Marks: 5 )
Calculate the mean, median and mode for the following set of data 1,2,8,5,4,9,3,4,5,8,6,2,4,5,8,8000.Question No: 50 ( Marks: 10 )
A family has 3 boys and 2 girls. a) Find the number of ways they can sit in a row
b) How many ways are there if the boys and girls are each to sit together?
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