Bachelor of Management Studies (B.M.S.) SEM II 2019 20 Nov 2019-20 ATKT MATHS Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 attempt both the sub-part A and B
   • 2. Figure to the right indicate full marks
   • 3.Use of non-programmable ca!culater is allowed
   • 4.Graph papers will be provided on request
2. Q1 Attempt Both Sup-part (A) and(B):
   • A) Write the appropriate answer (Answer any eight) a 1. Given principal =Rs1500 and number number of year =3 ,interest = Rs 225 then the rate of simple interest will be 8
   • 2. Number of w ay s in which three boys and 4 can be arranged in a row show that all three boys are together are
   • a) 4! b) 5! x d) None of these
   • 3) for matrix multiplication the number of column of first matrix should be number of rows of second matrix :
   • a) less than b) Equal c)More of
   • 4) the Newton's forward differential equation formula what is u=
   • 5) The point at which profit is zero is calied the
   • 6) input output analysis was developed by =) a) Leontief b) Bernouli c)Newton’s d)none of these
   • 7) the difference of a successive value of Y where why is a function of equal space’ space value of x are called
   • a)Forward difference b) backward difference c)both (b) d) none of these
   • 9)Derivative of log of x with respect to X is
   • a)1/X b)1c)0 d) none of these
   • 10) for a function Y to f of x be minimum at a certain point the following is
   • a) dy/dx=0 b) C) both (a) and (b) d) None of these
   • B) State whether the following statements true or false ANY +) the payment of annuity are all equal and are made over period of time there it is uniform annuity
   • 2. The future value of an amount is always greater than present value
   • 3. Price is a decreasing function of a demand
   • 4. If the total revenue is Rs 100 at D = 4, the average revenue is Rs 25
   • 5. The sum of 2- identity matrix is an identity matrix
   • 6. The value of determinant and its transpose are same
   • 7. The rate of change of supply with respect to price is positive ,this means that the Supply will decrease if the price increase and will increase if price decreases
   • 8.A function f has and a minimum value at a Stationary point where the score Curve Y equal to F(X) has a horizontal tangent
   • 9. If F(X) is a polynomial function of degree 3, is a constant
3. Q2 Attempt either (A ) or (B): 2AP)Find the amount at the end of | year of annuity of Rs. 500 payable quarterly, (8) rate of interest being 16%p.a
   • Q) In how many ways can the letters of the word LOGARITHM be rearranged? In How many of these rearrangement is the first letter a consonant and the last a vowel? 2B) P) Find the equilibrium quantity and equilibrium price in the following cases: (8) 7
   • a) Given supply and demand equation p = P
   • b) Given supply and demand equation of a product are
   • Q) A person deposits in a financial institution Rs. 15,000 at the end of each for 3 years. What is the accumulated amount at the end of 3 year taking interest compounded at 12% p.a? 7
4. Q3 Attempt either (A )or (B):
   • Q) Solve by Cramer’s Rule : 3B)P) Find the inverse of Matrix A, Where (8) 7
   • Q) If A= B= If AB = 0 ,find the value of x and 7
5. Q4 Attempt either (A )or (B): Find the derivative of the following function (8)
   • a) find y = log(x + V2x? — 3x + 4)
   • b) find y =x — + Vx
   • Q) For a function f(x) ,it is know that = -2,f(1) =0, = 16 and f(4) Assuming fourth difference to be zero ,estimate f(2) = 4)B)P) A manvfacture can sell x items at a price of Rs. (330-x) each. (8) Total cost of production x item is Rs.(x?+10x+12) find x for which the profit is maximum 7
   • Q) Prepare forward difference table for the function given by Show that the function f(x) is polynomial of degree 2.Also find f(11) 7
6. Q5 Attempt either (A )or (B): 5 A)P) Mrs Ranade wants accumulated profit a sum of Rs. 1,50,000 at the end of 3 year At 6% p.a Calculate EMI by using reducing balance method. (8)
   • Q) A manufacture can sell x items per month at a price =300-2x. the cost of production is given by C=2x+1000.find the average profit and the marginal profit when the 7
   • 5) B) Attempt (Any three) 15
   • 1.Write note on linear function ,exponential function and logarithmic function
   • 2. Explain the application of Derivatives in business management
   • 3. Type of matrices with examples
   • 4. Write difference between compound interest and simple interest
   • 5. Type of annuity

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