Bachelor of Management Studies (B.M.S.) SEM II 2017 18 April 2017-18 F.Y.BMS SEM II (CHOICE BASE)) (BUS. MATHS. Question Paper - Mumbai University | munotes

Questions asked in this paper

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1. Q2 attempt both the sub-parts A&B
2. Q3 Figures to the right indicate marks
3. Q4 Use of non-programmable calculator is allowed
4. Q1 Attempt both subparts A& B:
   • (A) Write the appropriate answer (Any Eight): 08
5. Q1 Given, Principal = Rs.1500, Number of years=3, Interest=Rs.225, then the rate of Simple Interest will be: Iv. 6 Yopa
6. Q2 The point of no profit no loss is :
7. Q1 Equator
8. Q3 The number of ways in which 3 boys and 4 girls can be arranged in a row so that all the three boys are together are:
9. Q4 None of the above
10. Q4 A square matrix whose determinants is zero is called: Iv. Identity
11. Q5 For matrix multiplication, the number of Columns of first matrix should be number of rows of Second Matrix:
12. Q1 Less than li. Equal to ili. More than Iv. Square of
    • Q.P. Code :31979
13. Q6 The determinant value, of a 2x2 matrix, and its transpose are
14. Q1 the same li. never the same Iv. 3 Dimensional
15. Q7 The derivative of x” log x
    • i. x? log x Iv. None of the above
16. Q8 The extra revenue that an additional unit of a product will earn is called:
17. Q1 Conditional Revenue
18. Q9 The pre-condition in the method of finite differences is that values of the arguments are :
19. Q1 equidistant Iv. exponential
20. Q10 While finding the difference of two successive entries in the forward difference table, the upper number is always the lowest number:
21. Q1 added to li. subtracted from lil. divided from
    • iv. multiplied to
    • (B) Match the columns (Answer Any Seven): 07
    • Q.P. Code :31979
22. Q2 A Mr. Valia invested some money at a certain rate of simple interest per annum. The total amounts received by him were Rs.7654.4 in 2 years and Rs.7948.8 in 4 years respectively. Find the principal and the rate of simple interest manufacturer has invested Rs.30,000 as fixed cost and a variable cost of Rs.20 per unit for 07 production of toys. If each toy can be sold at Rs.40. find the Cost function, Revenue Function and Profit Function. Also find the number of toys to be produced to achieve the Break Event point 8 marks
23. Q2 P Find the amount at the end of one year of an annuity of Rs.500 payable quarterly, rate of interest 8 marks
    • Q. The staff of a department consists of a manager, an officer and 10 clerks. A committee of 4 to selected from this department. Find the number of ways in which this can be done so as to always
24. Q1 the Manager li. the Manager but not the officer
25. Q3 A (i) Find matrix X if: 8 marks
    • (ii) Find matrices X and Y if: Solve the following equations using Cramer’s Rule: 07 Find by Adjoint method the inverse of 2 3 For the following 2 industry input-output model, find Technology matrix. Also calculate the level 07 of output, if final demand of each product increases by 60 units. Further find the labor requirement for this output Industry Consumption of Industr Final Total
    • Q.P. Code :31979
26. Q4 A Acompany produces x items at a total cost of Rs. (70 + 2x). The demand function is P=100-x, where P is the price and x is the demand. Find the value of x for which: 8 marks
27. Q1 Total Revenue is increasing li. Total Profit is increasing Applying Newton’s Backward Interpolation Formula, obtain a polynomial function to fit the 07 Using derivatives, divide 30 into two parts so that their product is maximum. 08
    • Q. A farmer noted the following figure for the quantity of fertilizer (in kg) used on his plotofland 07 and the yield (in kg) of wheat from the plot Applying Newton’s Forward Interpolation Formula, determine the optimum amount of fertilizer for the plot and the maximum yield expected
28. Q5 A) A manufacturer can sell x items per month price p=200-2x. The cost of production is given by C=2x + 1200. Find the Average Profit and the marginal profit when x=10 8 marks
    • B) Ms. Agarwal has taken a Loan of Rs.11,000 at 10% p.a. to buy gold ornaments. If the 07 amount is to be returned in 6 monthly installments, find the EMI she has to pay. Also prepare the amortization table for the first 2 months
    • C) Attempt any 3: 15
29. Q1 Explain the difference between Permutations and Combinations With an example, explain Upper Triangular Matrix, Lower Triangular Matrix and
30. Q3 State and explain any two properties of determinants
31. Q4 Write a short note on Price Elasticity of Demand
32. Q5 Explain the importance of Business Mathematics in Management

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