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. What is the solution to the linear equation 3x + 7 = 19? 3 4 5 6 None 2. If the sum of the first n terms of an arithmetic progression is Sn=2n2+3nS_n = 2n^2 + 3nSn=2n2+3n, then the nth term is: 4n+34n + 34n+3 4n+24n + 24n+2 4n+14n + 14n+1 4n−24n - 24n−2 None 3. A matrix is said to be a square matrix if It has more rows than columns It has equal number of rows and columns It has more columns than rows It has only one row None 4. The simple interest for Rs. 500 at 10% per annum for 2 years is: Rs. 100 Rs. 50 Rs. 200 Rs. 150 None 5. If a partnership earns a profit of Rs. 100,000 and the partners have invested in the ratio 2:3, what will be the share of the first partner? Rs. 40,000 Rs. 60,000 Rs. 80,000 Rs. 50,000 None 6. The range of the data set 4, 7, 12, 19, 20 is: 20 16 15 19 None 7. What is the mean of the following numbers: 5, 8, 11, 14? 9.5 10 8 12 None 8. The total cost function of a firm is given by C(x) = 5x + 30. What is the marginal cost at x = 10? 5 30 15 10 None 9. If the cost price of an item is Rs. 400 and the selling price is Rs. 500, the profit percentage is: 25% 20% 15% 10% None 10. What is the derivative of the function f(x)=2x3+3x2+4xf(x) = 2x^3 + 3x^2 + 4xf(x)=2x3+3x2+4x? 6x2+6x+46x^2 + 6x + 46x2+6x+4 6x2+6x+4x6x^2 + 6x + 4x6x2+6x+4x 6x2+6x+46x^2 + 6x + 46x2+6x+4 6x2+6x6x^2 + 6x6x2+6x None 11. If a person invests Rs. 5,000 at 8% compound interest annually for 2 years, the compound interest will be: 832 820 850 900 None 12. Which of the following is NOT a property of a normal distribution? Symmetry about the mean Mean equals median The distribution is skewed The area under the curve equals 1 None 13. In statistics, the term "mode" refers to The middle value The most frequent value The arithmetic mean The largest value None 14. What is the probability of drawing a red card from a standard deck of 52 playing cards? 1/2 1/4 1/3 1/52 None 15. If the covariance between X and Y is zero, then: X and Y are independent X and Y are perfectly correlated X and Y are uncorrelated X and Y have a perfect negative correlation None 16. What is the present value of Rs. 1,000 to be received in 3 years at an interest rate of 10% compounded annually? Rs. 751 Rs. 820 Rs. 600 Rs. 720 None 17. Which of the following is NOT an example of a discrete random variable? Number of people in a classroom Number of goals scored in a football match Height of a student Number of cars sold in a month None 18. The equation x2+6x+9=0x^2 + 6x + 9 = 0x2+6x+9=0 represents: Two real roots One real root No real roots Complex roots None 19. A company has 5 machines, and the probability of any machine working properly is 0.9. What is the probability that exactly 4 machines are working properly? 0.9 0.5 0.3 0.4 None 20. If the price of a commodity increases from Rs. 10 to Rs. 12, the percentage increase in price is: 10% 15% 20% 30% None 21. The first difference of the sequence 5, 9, 13, 17 is: 4 8 16 20 None 22. Which of the following is an example of a continuous random variable? Number of children in a family Number of cars in a parking lot Height of a person Number of accidents on a highway None 23. The standard deviation of the data 2, 4, 6, 8 is: 1 2 3 4 None 24. What is the formula for calculating compound interest? A=P(1+r100)tA = P(1 + \frac{r}{100})^tA=P(1+100r)t A=P(1+rt)A = P(1 + rt)A=P(1+rt A=P+rtA = P + rtA=P+rt A=P(1−r100)tA = P(1 - \frac{r}{100})^tA=P(1−100r)t None 25. Which of the following graphs represents a normal distribution? A U-shaped curve A bell-shaped curve A straight line A skewed curve None 26. The variance of the data set 2, 4, 6, 8 is: 5 4 6 2 None 27. Which of the following is an example of a linear equation? y=x2+3xy = x^2 + 3xy=x2+3x y=5x+2y = 5x + 2y=5x+2 y=3x3y = 3x^3y=3x3 y=2/xy = 2/xy=2/x None 28. The sum of the first 10 terms of an arithmetic progression is 500. If the first term is 10, what is the common difference? 5 4 3 6 None 29. What is the coefficient of x2x^2x2 in the expansion of (2x+3)4(2x + 3)^4(2x+3)4? 48 36 24 12 None 30. If the probability of event A occurring is 0.2 and event B occurring is 0.5, what is the probability that neither A nor B occurs (assuming independence)? 0.4 0.3 0.1 0.7 None 31. The compound interest formula with annual compounding is given by A=P(1+r100)tA = P(1 + \frac{r}{100})^tA=P(1+100r )t. What does 't' represent? Principal Rate of interest Number of years Amount at the end of t years None 32. The equation y=3x+5y = 3x + 5y=3x+5 represents: A parabola A straight line An exponential function A circle None 33. What is the mode of the following set of numbers: 1, 2, 2, 3, 4, 5, 5, 5, 6, 7? 2 5 7 3 None 34. In a survey, the mean income of 10 individuals is Rs. 25,000. If one more individual with an income of Rs. 30,000 is added to the group, what will be the new mean income? Rs. 25,500 Rs. 26,000 Rs. 27,000 Rs. 28,000 None 35. The total cost function of a company is given by C(x)=50x+1000C(x) = 50x + 1000C(x)=50x+1000. What is the average cost per unit when 20 units are produced? 60 70 80 90 None 36. The value of ∫13(2x2+3x) dx\int_1^3 (2x^2 + 3x) \, dx∫13(2x2+3x)dx is: 18 24 12 30 None 37. The formula to compute the compound interest for monthly compounding is: A=P(1+r12)12tA = P(1 + \frac{r}{12})^{12t}A=P(1+12r)12t A=P(1+r100)tA = P(1 + \frac{r}{100})^tA=P(1+100r)t A=P(1+r100)12tA = P(1 + \frac{r}{100})^{12t}A=P(1+100r)12t None 38. In a probability distribution, the sum of all probabilities must equal: 1 0 100 -1 None 39. The probability of drawing a face card (Jack, Queen, King) from a deck of 52 cards is: 1/13 3/13 1/4 1/17 None 40. The total of a data set is 300, and there are 10 values. What is the mean of the data set? 25 30 35 40 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. Few seconds left. 1 2 3 4 Time's upYou cannot switch tabs while taking this quiz!You are not allowed to switch tabs violation has been recorded.you cannot minimize full screen mode!You are not allowed to minimize full screen while taking this quiz, violation has been recorded.Access denied! To begin the quiz, please grant this quiz access to your camera.Time is Up!Time is Up!
