0% Quantitative methods Full BookAdvertisements 1 / 50 1. If someone invest Rs 6,000 as 1st instalment and increase by Rs.300 per month in each ofnext instalment for 24 months which of the following is true1. Rs. 119,900 is the total value received after 13th instalment2. The value for 13th instalment is Rs. 9,900 a) Only i is correct. b) Only ii is correct. c) Both are correct. d) none 2 / 50 2. In an arithmetic progression, the sum of the first n terms is equal to 5n+3n^2 What is the common difference? a) 6 b) 5 c) 3 d) 7 3 / 50 3. A person invests Rs. 5,000 in an account that pays an interest of 5% per month. If he adds Rs. 500 at the end of each month, how much will he have in the account after 6 months? a) 6,500 b) 7,500 c) 8,000 d) 8,500 4 / 50 4. A person invested some amount today @1.8% per quarter for 10 years find his investment ifhe receives Rs. 10 million. a) 8.356 million b) 4.13 million c) 4.89 million d) none of the above 5 / 50 5. Nasir had taken Rs. 900,000 from his office at 13.5% simple interest for a period of 5 yearsand 5 months. The principal amount was paid at the expiry of loan period.He paid interest of Rs. 595,000 during the period of loan. a) True b) False 6 / 50 6. Ali invested Rs 500,000 for5 years after which he received a lump sum amount of Rs762,150. If he earned 10% interest compounded annually during last 2 years, what rate ofinterest compounded annually did he earn during the first three years? a) 6% b) 8% c) 7% d) 9% 7 / 50 7. In a Linear Programming context, what does the term 'cutting plane' refer to? a) A method used to graphically represent constraints b) An approach to eliminate infeasible solutions by adding additional constraints c) A technique to simplify the objective function d) A method for finding the optimal solution in integer programming 8 / 50 8. Which of the following is true about the dual of a Linear Programming problem? a) The dual has the same number of constraints as the primal has variables b) The primal is a maximization problem, the dual is always a minimization problem c) The optimal solution of the dual gives the value of the objective function of the primal d) All of the above 9 / 50 9. What is the primary goal of Linear Programming? a) Minimize cost b) Maximize profit c) Both a and b d) none 10 / 50 10. Which of the following equations is not linear? a) y=2x^2 b) X+9=0 11 / 50 11. Mr. A’s total revenue function is TR=500x−2x^2. If his costs are represented by C(x)=100+50x, at what quantity x is profit maximized? a) 75 units b) 90 units c) 100 units d) 125 units 12 / 50 12. A company’s cost and revenue functions are C(x)=50x+200 and R(x)=100xR(x) = 100x. Calculate the break-even quantity. a) 3 units b) 4 units c) 5 units d) 6 units 13 / 50 13. Given a line with a y-intercept at 5 and a slope of -2, what is the equation of this line? a) y=−2x+10 b) y=−2x+5 c) y=2x+5 d) y=2x−5 14 / 50 14. A revenue function is given as R(x) = 120x - 4x^2. What level of output x maximizes revenue? a) 10 units b) 12 units c) 15 units d) 20 units 15 / 50 15. The cost function C(x) = x^2 - 12x + 40 reaches its minimum at which quantity? a) 𝑥 = 4 b) x=5 c) x=6 d) x=7 16 / 50 16. Solve the equation 2x^2 - 8x + 3 = 0 and identify the roots a) x=3 and 𝑥 = 1/3 b) x=4 and 𝑥 = 2 c) x=3.5 and 𝑥 = 0.5 d) No real solutions 17 / 50 17. A company’s profit function is P(x) = -3x^2 + 30x - 72. What level of production x maximizes profit, and what is the maximum profit? a) x=3, Profit = Rs. 120 b) 𝑥 = 5 , Profit = Rs. 180 c) x=6, Profit = Rs. 150 d) x=4, Profit = Rs. 160 18 / 50 18. A manufacturing plant uses resources within constraints of Rs. 5,000 in costs and Rs. 8,000 in materials, with respective contributions of Rs. 3 and Rs. 4 per unit of output for products X and Y. What objective function maximizes profit? a) Z=3X+4Y b) Z=4X+3Y c) Z=5X+3Y d) Z=3X+5Y 19 / 50 19. A company produces products A and B with respective profits of Rs. 100 and Rs. 150. Constraints include 3A+4B≤2,400 labor hours and 2A+3B≤1,500 material units. Determine the maximum profit achievable. a) Rs. 300,000 b) Rs. 320,000 c) Rs. 280,000 d) Rs. 340,000 20 / 50 20. If the first term of a geometric sequence is Rs. 10,000 and the common ratio is 1.1, calculate the value of the investment after 6 terms. a) Rs. 13,500 b) Rs. 15,000 c) Rs. 17,715 d) Rs. 18,000 21 / 50 21. A business’s revenue follows an arithmetic progression, with the first year’s revenue at Rs. 100,000 and increasing by Rs. 25,000 each subsequent year. Calculate the total revenue after 5 years. a) Rs. 500,000 b) Rs. 625,000 c) Rs. 750,000 d) Rs. 525,000 22 / 50 22. An investor deposits Rs. 2,000 initially and increases the deposit by Rs. 500 each month. What is the total amount invested after 10 months? a) Rs. 37,500 b) Rs. 40,000 c) Rs. 42,000 d) Rs. 45,000 23 / 50 23. An investment of Rs. 5 million is expected to save Rs. 1 million annually over 7 years. If the company’s discount rate is 11%, what is the NPV of the investment? a) Rs. 500,000 b) Rs. 680,000 c) Rs. 750,000 d) Rs. 800,000 24 / 50 24. A company expects to receive Rs. 100,000 annually for 8 years. If the discount rate is 10%, what is the present value of these cash flows? a) Rs. 700,000 b) Rs. 614,000 c) Rs. 650,000 d) Rs. 725,000 25 / 50 25. A project costs Rs. 600,000 and is expected to generate Rs. 150,000 annually over 6 years. With a discount rate of 9%, calculate the Net Present Value (NPV). a) Rs. 50,000 b) Rs. 60,000 c) Rs. 65,500 d) Rs. 70,000 26 / 50 26. A bank account has Rs. 50,000, earning 8% interest compounded semiannually. Calculate the balance after 3 years. a) Rs. 61,250 b) Rs. 63,440 c) Rs. 65,000 d) Rs. 67,200 27 / 50 27. An investor takes a Rs. 300,000 loan at a 10% annual compound interest rate, to be repaid in equal installments over 4 years. Calculate the annual installment amount. a) Rs. 94,280 b) Rs. 87,000 c) Rs. 100,500 d) Rs. 89,400 28 / 50 28. A project requires an initial investment of Rs. 3.5 million and is expected to generate cash flows of Rs. 1 million, Rs. 1.2 million, Rs. 1.5 million, and Rs. 2 million over the next four years. If the discount rate is 9%, what is the NPV of the project? a) Rs. 700,000 b) Rs. 660,000 c) Rs. 740,000 d) Rs. 800,000 29 / 50 29. An investment promises Rs. 200,000 annually, with a required return of 7%. What is the PV of an annuity over 10 years? a) Rs. 1,300,000 b) Rs. 1,418,000 c) Rs. 1,500,000 d) Rs. 1,600,000 30 / 50 30. Calculate the Internal Rate of Return (IRR) for an investment of Rs. 4 million with cash inflows of Rs. 1 million, Rs. 1.5 million, Rs. 1.2 million, and Rs. 2 million over four years. a) 9% b) 10% c) 11% d) 12% 31 / 50 31. A company’s price elasticity of demand is -1.5. If the firm raises its price by 10%, what is the expected change in quantity demanded? a) Decrease by 10% b) Increase by 15% c) Decrease by 15% d) No change 32 / 50 32. A project requires Rs. 800,000 upfront and will generate Rs. 150,000 annually for 8 years. If the company’s cost of capital is 10%, should it accept the project? a) Yes, as NPV greater the 0 b) no, as NPV less then 0 c) No, as IRR less then 8 d) Yes, as NPV = 0 33 / 50 33. A company receives cash flows of Rs. 150,000 annually, with a required return of 10%. Calculate the PV over 7 years. a) Rs. 760,000 b) Rs. 850,000 c) Rs. 800,000 d) Rs. 700,000 34 / 50 34. A machine costing Rs. 800,000 saves Rs. 100,000 annually for 10 years. If the discount rate is 10%, calculate the present value of savings. a) Rs. 650,000 b) Rs. 614,500 c) Rs. 700,000 d) Rs. 720,000 35 / 50 35. A bond with a face value of Rs. 1 million matures in 5 years and has an annual coupon rate of 7%. If the required return is 8%, calculate the bond's present value. a) Rs. 950,000 b) Rs. 963,000 c) Rs. 970,000 d) Rs. 1,000,000 36 / 50 36. A company’s product demand has a price elasticity of demand of -1.8. If the company decreases its price by 5%, what is the expected percentage change in quantity demanded? a) Increase by 9% b) Decrease by 9% c) Increase by 1.8% d) No change 37 / 50 37. For a series of cash flows, Rs. 50,000 in Year 1, Rs. 60,000 in Year 2, Rs. 80,000 in Year 3, and Rs. 100,000 in Year 4, calculate the IRR if the initial investment was Rs. 200,000. a) 12% b) 14% c) 15% d) 16% 38 / 50 38. An account with Rs. 500,000 earns 9% annually, compounded quarterly. What will the balance be after 4 years? a) Rs. 719,408 b) Rs. 725,000 c) Rs. 735,000 d) Rs. 742,000 39 / 50 39. A firm’s demand curve is given by Q=100−2p. Calculate the price elasticity of demand when P=20 a) -0.4 b) -0.8 c) -1 d) -1.2 40 / 50 40. A firm’s cost structure includes fixed costs of Rs. 300,000 and variable costs of Rs. 100 per unit. If the selling price per unit is Rs. 150, what is the break-even output? a) 6,000 units b) 5,000 units c) 4,000 units d) 3,500 units 41 / 50 41. An investment is expected to provide Rs. 200,000 annually for 10 years, with a discount rate of 8%. What is the present value of this annuity? a) Rs. 1,400,000 b) Rs. 1,340,000 c) Rs. 1,500,000 d) Rs. 1,200,000 42 / 50 42. A project requires an upfront investment of Rs. 600,000 and returns Rs. 120,000 annually over 10 years. Calculate the project’s IRR. a) 7% b) 8.5% c) 9% d) 10% 43 / 50 43. If a project has a Discount Rate of 10% and is expected to generate cash flows of $1,000 in Year 1, $1,200 in Year 2, and $1,500 in Year 3, what is the Present Value (PV) of these cash flows? a) $2,491.57 b) $3,228.51 c) $2,763.36 d) $3,400.00 44 / 50 44. A company intends to invest Rs 4 million into a project which would yield 10, 12 and 13percent during first three years respectively. The company would also recover the originalinvestment after 3 years. If the company’s cost of capital is 10%, NPV of the project wouldbe: a) Rs 156,273 b) Rs 293,745 c) Rs 338,204 d) Rs 498,200 45 / 50 45. A project costing Rs. 2 million is expected to yield Rs. 300,000, Rs. 400,000, Rs.1,900,000 at the end of each of the next 3 years respectively. The IRR of the project is: a) 11.51% b) 10.66% c) 11.15% d) 10.18% 46 / 50 46. You are given some annuity due of Rs. 200,000, find the sum of ordinary annuity if r=12% compounded quarterly a) Rs. 206,000 b) Rs. 194,174 c) Rs. 200,000 d) None of these 47 / 50 47. Which of the following is a measure of dispersion? a) Mode b) Mean c) Quartile Deviation d) Percentile 48 / 50 48. Which of the following statements is/are correct?1. Range is a measure of dispersion.2. Semi-inter Quartile Range measure of dispersion a) Only i is correct. b) Only ii is correct. c) Both are correct. d) none 49 / 50 49. Which of the following statement is correct about Population Parameter?(i) All the items are present in the data from which parameter is determined.(ii) 50 people selected through random sampling can be used to find parameter. a) Only i is correct. b) Only ii is correct. c) Both are correct. d) none 50 / 50 50. Construction of frequency distribution: a) Helps in deleting the data b) Begins by recording the number of times a particular value occurs c) Is the only way to assess mode of population d) All of the above Your score isThe average score is 44% 0% Restart quiz Advertisements
