Bachelor of Management Studies (B.M.S.) SEM II 2018 19 April 2018-19 BUSINESS MATHEMATICS 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
   • A) Choose the correct alternative (any eight) 08
4. Q1 In years, Rs,8000 will amount to Rs.8840 at 3.5% p.a. simple Interest
5. Q2 An annuity in which the number of payments are infinite is called
   • (a) Infinity
   • (b) Infinite
   • (c) Limited annuity
   • (d) Perpetuity
   • (a) an exponential function
   • (b) not a function
   • (c) A linear function
   • (d) A quadratic function
   • (d) None of these
6. Q5 A Square matrix whose non-diagonal elements are all zero and the diagonal elements are all equal is called
   • (a) Scalar
   • (b) Square
   • (c) Diagonal
   • (d) none of these
7. Q6 rows or 2 columns of a determinant are equal then the value of the determinant is
   • (a) Zero
   • (b) Unity
   • (c) Double
   • (d) none of these
   • Q.P. Code :31980
8. Q7 Derivative of a function y with respect to x
   • (a) can be bought through a stock broker
   • (b) is a remainder
   • (c) is a measure of rate of change
   • (d) none of these
9. Q8 The total cost is C=3000+2x+x7, when x=5, the marginal cost is
10. Q9 If f(x) is a polynomial of degree 'n'then (x) =
    • (a) Zero
    • (b) One
    • (d) Variable
11. Q10 At equilibrium point, supply =
    • (a) Profit
    • (b) Demand
    • (c) Loss
    • (d) None of these
    • B) State True or False (any 7) 07
12. Q1 e* is not an exponential function
13. Q2 Order of a matrix is never zero
14. Q3 in which the number of payments is fixed is called fixed annuity
15. Q4 If 2 rows or columns of a determinant are interchanged then the value of determinants
16. Q5 Two matrices can be multiplied only if their order are same
17. Q6 Second order derivative is derivative of derivative
18. Q8 When transpose matrix is same it is called symmetric matrix
19. Q9 If n>1 the demand is said to be elastic
20. Q10 At breakeven point revenue is same as total cost
21. Q1 Find the maturity amount of a 2 years fixed deposit of Rs.1,00,000 at 10% interest is compounded semi-annually Find f(2),f(4) and f(5). Also find x when f(x) =5 B~ A Loan of Rs.80,000 is to be returned in 3 equal monthly installments at the rate of 12% p.a. 08 Compounded monthly. Find the EMI using the reducing balance method. Find the interest and principal repayment for each month 3 marks
    • Q.P. Code :31980 P 1. In how many ways can the letters of the word ‘DONKEY’ be arranged, if the vowels 03 are never together li. In how many ways can the letters of the word ‘STUPID” be arranged if the 04 arrangements start and ends with vowels A watch company is to produce a cheaper variety of wrist watches. It involves initially a fixed cost of Rs.2 Lakhs and a variable cost of Rs.105 for each wrist watch. If each wrist watch can be sold at Rs. 500, find the total cost function, the total revenue function and the profit function How many wrist watches must be produced and sold so that the company does not incur any loss
22. Q3 A i find the matrix + 3A — 5I 4 marks
    • ii) 3 4 | Show that A* = A Solve following equations using cramer’s rule 07 The input —output matrix for two industry case is given below 08 Industry | Consumption by Industry | Final Total Find total outputs if demands are and Labour requirement for this output. Also find the total input requirement
    • Q. Solve the equations using matrix Inversion method 07
23. Q4 A Find dy/dx if, 8 marks
    • ii) y B Find maxima and minima for the function given below 07
    • Q.P. Code :31980 P The demand for a commodity when its price is x is given by; 07 y= Find the elasticity of demand when the price is 5 units Q By preparing the forward difference table find the 6" and 7 terms of the sequence 08
24. Q5 A is bought at Rs.80,000 has effective life of 4 years. A sinking fund is created for replacing the machine by a new model at the end of its lifetime, when its scrap value is Rs.5000 The price of the new model is estimated to be 25% higher than the present price. Find out what amount should be set aside at the end of each year out of the profits for the sinking fund if it accumulates at 5% per annum compounded annually B_ A factory produces 3 goods P, Q and R. A unit of P requires 2 hours on machine I, 3 hours on 07 machine II and | hour on machine III the same figures for Q are 1,2 and 4 and for R are 2,1 and 2 a day. Find out how many unit of P,Q and R can be produced if the machine time is fully utilized 8 marks
25. Q1 Write a note on Quadratic function and linear function li) Distinguish between permutation and combination lil) Write a note on elasticity of demand
    • iv) Write a note on types of matrices
    • v) Write a note on annuity and types of annuity

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