Bachelor of Management Studies (B.M.S.) SEM II 2017 18 Oct 2017-18 BUS. MATHS Question Paper - Mumbai University | munotes

Questions asked in this paper

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1. Q2 Use of simple calculator is allowed
2. Q3 Figures to the right indicate full marks of each sub question
3. Q1 A_ Attempt any eight of the following: 8 marks
4. Q1 The simple interest on Rs4500 for 2 years at 6% per annum
   • d) None of these
5. Q2 The future value of an amount is always ------ its present valve
   • a) Greater than
   • b) Less than
   • d) None of these
6. Q3 For the function f(x) = x — the value of f(—1) is
7. Q4 The value of None of these
8. Q5 Arow matrix is of order
   • d) of these
9. Q6 The value of determinant iS
   • a) ad—bc
   • d) None of these 7). The input — output analysis was developed by
   • d) None of these
10. Q8 derivative of 7e* + x with respect to x is
    • d) None of these
    • Q.P. Code :03953
11. Q9 The forward differences of y are denoted by the operator
12. Q10 If the payments are made at the end of period, the annuity is called
    • a) Annuity due
    • b) Immediate annuity
    • c) Uniform annuity
    • d) None of these B whether the statements are true or false (attempt any seven of the following) 07
13. Q1 for Equal Monthly Instalments
14. Q2 When demand equals supply, an equilibrium point is reached
15. Q3 A matrix of order n x n having all non- diagonal elements zero is called diagonal matrix
16. Q4 any two rows of a determinant are same, the value of determinant is zero
17. Q5 Inthe input — output analysis, final demands of the consumers are not known
18. Q6 function y, the value of is one
19. Q7 The backward differences of y are denoted by the
20. Q8 Compound interest on Rs2000 for 2 years at rate of 5% p.a. compounded annually is Rs200
21. Q9 Anannuity in which no. of payments are not equal is called uniform annuity
22. Q10 The product of first n natural numbers is called factorial n
23. Q2 A. Pranit wants to keep Rs50,000 fixed deposit. Janata bank give 8% p. a compounded half yearly for a period of 4 years. Global Bank offer 7% p. a. compounded quarterly for a period of 3.5 years Which is a better option and Why? 8 marks
    • B. There are 8 professors students out of whom acommittee, of 2 professors and 3 students is 07 to be formed. Find the number of ways in which the committee can be formed such that
24. Q1 professor is included
25. Q2 particular student is excluded
    • P. plans to save for his son’s education for which he wishes to accumulate Rs100000 at the 08 end of 4 years. How much should he invest at the end of each year from now, if he can get Interest compounded at 7% p. a?
    • Q. Acompany sells X pens each day at RS25 per pen. The cost of manufacturing is Rs15 07 the distributor charges are Rs2 per pen. Besides, the daily overhead comes to Rs840. Determine the profit function. What.is the profit if 10 pens are manufactured and sold in a day? What is the break-even point?
26. Q3 A. Solve the following simultaneous equations using Cramer’s Rule. If —4 , find the matrix 3A2 — 2A + Also find determinant of A. 07 Find the inverse of the following matrix 8 marks
    • Q.P. Code :03953
    • Q. For the following input output model, find outputs if final demands are increased by 30 each Also calculate labour requirement for this output. 07
27. Q4 A. Differentiate the following functions with respect to x. 8 marks
    • B. Ashop keeper observes the following data for demand and total revenue for a certain commodity. 07 Estimate the total revenue when demand is 40kg using newton’s forward difference interpolation
    • P. A manufacturer can sell x items at a price of Rs (330 — x) each. Total cost of producing x Rs (x? + 10x + 12) find x for which the profit is maximum
    • Q. the total cost of producing certain number of items in is as follows Estimate the total cost of producing 40 items using Newton’s Backward difference interpolation 7
28. Q5 A) 1. Aloan of Rs 50000 is to be returned in monthly instalments, the rate of interest being 24% 8 marks
    • p.a. find the EMI using reducing balance method. Also find EMI using flat interest rate method
29. Q2 The demand function is given by p = 40 + D — D? + D? where p = price and D= Demand. total revenue, average revenue and the marginal revenue when the demand is 5 7 marks
    • B) any three of the following (short note) 15 Types of annuity Difference between compound interest and simple interest
30. Q3 Types of matrices with examples
31. Q4 Fundamental theorem
32. Q5 Different types of functions

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