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BBS / 4 Years Programme / First year / MGMT

Full Marks :100

Pass Marks : 35

Time : 3 hrs.

Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.

2) In a batch of 15 students, 3 students failed in an examination. The marks of passed 12 students were 9, 6, 7, 8, 4, 5, 8, 10, 9, 7, 5, 7. What was the median mark of all 15 students?

3) In a moderately skewed frequency distribution, the mean is 10 and its median is 9, if the coefficient of variation is 20%. Find the Pearson’s coefficient of skewness of the distribution.

4) List out the various methods of collecting primary data and secondary data.

5) Calculate the lower and upper quartiles from the following marks distribution:6) If regression coefficient of y on x (byx) = - 0.61 and regression coefficient x on y (bxy) =- 0.53, calculate the coefficient of correlation and interpret the result.

7) The standard deviation of symmetrical distribution is 5. What must be the value of fourth moment about mean in order that the distribution be mesokurtic ?

8) A bag contains 20 balls numbered from 1 to 20. One ball is drawn at random. Find the probability that the number of the drawn ball be multiple of (i) 3 or 7 (ii) 3 or 5.

9) Calculate the price index number from the following data by simple aggregative method.

10) The following table shows the pay-off matrix related to the demand and strategy of a business person. What should be the decision if he / she uses I) maximax criterion ii) maximin criterion?

Group ‘B’

Descriptive Answer Questions.
Attempt any FIVE Questions.. (5X10=50)

11) List the five number summary and prepare a box-and-whisker plot from the following information. Also, comment on the nature of frequency distribution.

12) Solve the following system of equations by using determinant method.
2x+5y-z = -3, 4x+3y+2z = 1 & x+2y+3z = -5

13) Calculate Fisher’s ideal index number for the following data and show that it satisfies
(i) Time Reversal Test and (ii) Factor Reversal Test.14) Fit straight line trend by the method of least square to the data given below. Also, find the trend values and predict the sales for the year 2022.

15) A factory manufactures three types of white sheet of papers I, II, and III and distributes
them in two markets A and B. The sales of papers during one year are given below:a) If unit sale prices of papers I, II and III are Rs 5, Rs 4 and Rs 3 respectively, find the total revenue in each market with the help of matrix algebra.

Group ‘C’

Analytical Answer Questions.
Attempt any TWO Questions. (2X15=30)
17) A family income and its percentage expenditure on food for 100 families gave the following bivariate frequency distribution. Find out if there exists any relationship between family income and expenditure on food and interpret the result. Also test the significance of the result. Estimate the percentage expenditure on food when family income = Rs 90,000.18) The following distribution shows the frequency distribution of weekly expenditure on foods of students in certain locality of Kathmandu Metropolitan City. Describe the various characteristic features of the frequency distribution. Also, comment the nature of the distribution.

19)What do you mean by linear programming model? A person requires minimum 10, 12 and 12 units of chemicals A, B and C respectively. A liquid product contains 5, 2 and 1 units of A, B and C per jar. A dry product contains 1, 2 and 4 units of A, B and C per carton. If the liquid product costs Rs 30 per jar and dry product costs Rs 20 per carton. Formulate this problem in linear programming model. How many of each product should be purchased in order to minimize the cost to meet the requirements. Also find the minimum cost.