Welcome to your International Navodaya Chamber of Commerce (INCOC) Platform ! Subject: Fundamentals of Business Mathematics and StatisticsTotal Number of Question: 40Time: 41 MinutesPlease check your email after completion of test for result.All the best... Name Phone No Email State 1. Which of the following is the future value of an amount of ₹ 5,000 invested at an interest rate of 10% p.a. compounded annually for 2 years? ₹ 6,050 ₹ 6,100 ₹ 6,150 ₹ 6,200 None 2. The present value of ₹ 10,000 due after 3 years at 12% p.a. compounded annually is: ₹ 7,100.75 ₹ 7,200.75 ₹ 7,350.25 ₹ 7,500.25 None 3. The formula for calculating Compound Interest is: A=P(1+r100)tA = P(1 + \frac{r}{100})^tA=P(1+100r)t A=P(1+r)tA = P(1 + r)^tA=P(1+r)t A=P(1−r100)tA = P(1 - \frac{r}{100})^tA=P(1−100r)t A=P(1−r)tA = P(1 - r)^tA=P(1−r)t None 4. Which of the following is the correct formula for the effective annual rate (EAR) when the nominal interest rate is compounded monthly? (1+r100)12−1(1 + \frac{r}{100})^{12} - 1(1+100r)12−1 (1+r12)12−1(1 + \frac{r}{12})^{12} - 1(1+12r)12−1 (1+r100)12(1 + \frac{r}{100})^{12}(1+100r)12 r12\frac{r}{12}12r None 5. The simple interest on ₹ 5,000 at the rate of 8% p.a. for 2 years is: ₹ 800 ₹ 1,000 ₹ 900 ₹ 1,200 None 6. What is the monthly EMI for a loan of ₹ 1,00,000 at 12% annual interest rate for 5 years? ₹ 2,222 ₹ 2,200 ₹ 2,500 ₹ 2,400 None 7. What is the internal rate of return (IRR) of an investment with the following cash flows: Initial outlay of ₹ 10,000 and cash inflows of ₹ 3,000 annually for 5 years? 10% 12% 15% 20% None 8. The formula for calculating the break-even point in units is: Fixed Costs / (Selling Price per Unit - Variable Cost per Unit) Total Costs / Variable Cost per Unit Fixed Costs / Contribution per Unit Total Revenue / Selling Price per Unit None 9. A company's profit is ₹ 50,000, its sales are ₹ 5,00,000, and its variable cost ratio is 60%. What is the contribution margin? ₹ 2,00,000 ₹ 1,00,000 ₹ 1,50,000 ₹ 2,50,000 None 10. If the cost of a product is ₹ 300 and the selling price is ₹ 500, what is the profit margin? 25% 30% 40% 50% None 11. What is the formula for calculating the Net Present Value (NPV)? ∑Ct(1−r)t\sum \frac{C_t}{(1 - r)^t}∑(1−r)tCt ∑Ct(1+r)t\sum \frac{C_t}{(1 + r)^t}∑(1+r)tCt t(1+r)t\frac{C_t}{(1 + r)^t}(1+r)tCt Ct(1+r)tC_t(1 + r)^tCt(1+r)t None 12. The sum of an arithmetic series with first term 10, common difference 2, and 20 terms is: ₹ 210 ₹ 220 ₹ 240 ₹ 250 None 13. If the selling price of an item is ₹ 120 and the cost price is ₹ 100, the percentage profit is: 20% 25% 30% 40% None 14. The weighted average cost of capital (WACC) is the: Average cost of debt and equity Average cost of all the sources of capital Cost of equity only Cost of debt only None 15. A company plans to invest ₹ 50,000 in a project with an expected return of 12% per annum. The payback period for the project is 4 years. What is the Net Present Value (NPV) of this project at 12% discount rate? ₹ 10,000 ₹ 2,000 ₹ 5,000 ₹ 0 None 16. If the simple interest on ₹ 1,000 for 5 years at 6% p.a. is ₹ 300, what is the rate of interest? 5% 6% 7% 8% None 17. The future value of ₹ 1,000 invested for 2 years at 10% compounded quarterly is: ₹ 1,210.25 ₹ 1,220.10 ₹ 1,210.00 ₹ 1,300.00 None 18. The break-even sales volume can be found by dividing: Total fixed costs by the contribution per unit Total costs by selling price Variable costs by the contribution per unit Fixed costs by the total sales volume None 19. The formula for calculating the present value of an annuity is: PV=P×1−(1+r)−nrPV = P \times \frac{1 - (1 + r)^{-n}}{r}PV=P×r1−(1+r)−n PV=P×1+(1+r)−nrPV = P \times \frac{1 + (1 + r)^{-n}}{r}PV=P×r1+(1+r)−n PV=P×r1+(1+r)−nPV = P \times \frac{r}{1 + (1 + r)^{-n}}PV=P×1+(1+r)−nr PV=P×(1+r)nPV = P \times (1 + r)^nPV=P×(1+r)n None 20. The value of a perpetuity with annual payments of ₹ 10,000 and a discount rate of 8% is: ₹ 1,25,000 ₹ 1,50,000 ₹ 1,20,000 ₹ 2,00,000 None 21. The mean of the numbers 5, 8, 10, 12, and 15 is: 8 10 9 7 None 22. The mode of the data set 2, 4, 4, 7, 8, 9, 9, 9, 10 is: 4 7 9 10 None 23. What is the median of the data set: 1, 4, 5, 7, 9, 11? 5 6 7 4 None 24. The variance of the numbers 2, 4, 6, 8 is: 5 4 6 7 None 25. The standard deviation is: Square of variance Square root of variance Average of the data points None of the above None 26. In a normal distribution, what percentage of data lies within 1 standard deviation of the mean? 68% 95% 99% 50% None 27. If the correlation coefficient between two variables is +0.8, what does it imply? Perfect positive correlation High positive correlation No correlation High negative correlation None 28. A random variable has a mean of 50 and a standard deviation of 5. The z-score for a value of 60 is: 2 1 -2 0 None 29. The probability of an event occurring is: Always between 0 and 1 Always greater than 1 Can be any number None of the above None 30. In a hypothesis test, the p-value is used to: Accept the null hypothesis Reject the null hypothesis Find the sample mean None of the above None 31. A sample of size 25 has a mean of 50 and a standard deviation of 5. The standard error of the mean is: 1 0.5 2 5 None 32. The central limit theorem states that as the sample size increases, the sampling distribution of the sample mean will: Approach a normal distribution Become more spread out Be uniformly distributed None of the above None 33. The probability of getting at least one head in two tosses of a fair coin is: 0.25 0.5 0.75 1 None 34. In regression analysis, the dependent variable is: The predictor variable The response variable The error term None of the above None 35. Which of the following is the best measure of central tendency for skewed data? Mean Median Mode Variance None 36. A confidence interval is used to: Estimate a population parameter Calculate the variance Find the mode None of the above None 37. In a regression equation Y = 5 + 3X, the slope of the line is: 5 3 0 8 None 38. If two events are mutually exclusive, the probability of both events occurring is: 1 0 The sum of their probabilities The product of their probabilities None 39. The Chi-square test is used for: Testing the mean of a population Testing the variance of a population Testing the goodness of fit Testing correlation None 40. The range of a data set is: The difference between the maximum and minimum values The average of the values The square root of the variance The total number of values None 1 out of 4 Great job on taking the INCOC Test! We appreciate your interest in test.Look out for results and future opportunities.Stay Connected !! Your quiz time is about to finish. 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