Punjab University B. Com Part 1 Past Papers
Business Statistics & Mathematics 2006
Time : 3 Hours Marks: 100
Note: Attempt any five questions. All questions carry equal marks. Attempt at least two Questions from each section.
Q1) Provide short answers for the following unnecessary details will be penalized:
(i) What is the condition for the addition of matrices.
(ii) Write down the formula for sum of n terms of arithmetic series.
(iii) Define annuity.
(iv) Define quadratic equation.
(v) Define Attribute.
(vi) Define event.
(vii). Define statistics.
(viii) What do you mean by sample.
(ix) Write down the formula for the co-efficient of correlation.
(x) Define variable.
Q.2 For. the data given below calculate,,
(i) Arithmetic Mean
(ii) Harmonic Mean
(iv) Coefficient of Quartile Deviation QD
Q.3 (a) Fit the line of regression OF Y ON X from following data‘
(b) Draw the line y on x in the Q.3 (a).
Q.4 Draw all possible random samples of size 2 with replacement form the population 2, 4, 8, 8, 10 ,make sampling distribution of sample means:
(i) Find mean and variance of Sampling distribution of means.
(ii) Find population mean and variance.
Q5. (a) A fair dice is rolled and is tossed twice find the probability that sum of numbers appearing is:
(i) At least 10
(ii) At most 5
(b). Construct Index number
by Lespere’s Method
and By Fisher’s Method
Q6 (a) Solve the following
x2+ 5x =50
(b) The sum of two consecutive integers is 66 find the numbers.
Q.7 (A) Calculate the values of a and b if A and B are singular matrices.
(b) Solve following system of equations by using matrices.
2x +y = 25
x - y = 5
Q8 (a) Value of machinery depreciates at the rate of 5% per year. What will be the value of machinery at the end of 10th year. If it is of Rs. 250000 now.
(b) Obtain the sum of all first 10000 integers which are neither divisible by 2 nor by 5
Q9 (A) Sum of money doubles it in 12.5 years At a certain rate p.a. of simple interest.
Show that it will take about 9 years to double itself at the same rate of compound interest.
(b) At what rate Rs. 10.000 doubles itself in 6 years.
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2006 Paper Analysis
Question No.1 : Short Questions
Question No.2 : Measures of Central Values.
Question No.3 : Regression
Question No.4 : Mean variance and sampling distribution
Question No.5 (a) : Probability
Question No.5 (b) : Index Numbers
Question No.6 (a) : Simultaneous Equations
Question No. 6(b) : Equation
Question No.7: Matrices
Question No.8 : Sequence and Series
Question No.9 : Interest, Future Value