Welcome to your International Navodaya Chamber of Commerce (INCOC) Platform ! Subject: Fundamentals of Business MathematicsTotal 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 simple interest on ₹15,000 at 6% per annum for 4 years? ₹3,600 ₹3,000 ₹₹4,500 ₹2,500 None 2. The amount payable on ₹12,000 at 10% compound interest for 3 years is: ₹15,972 ₹14,640 ₹13,860 ₹16,500 None 3. If ₹1,000 becomes ₹1,728 in 3 years under compound interest, the annual interest rate is: 20% 24% 22% 28% None 4. The doubling time for money at 10% simple interest is: 10 years 15 years 20 years 25 years None 5. What is the effective annual rate of 12% compounded quarterly? 12.55% 12.36% 13% 11.75% None 6. If the ratio of boys to girls in a class is 3:5 and there are 40 students, the number of boys is: 15 20 25 30 None 7. A sum of ₹9,000 is divided among A, B, and C in the ratio 2:3:4. The share of B is: ₹2,000 ₹3,000 ₹4,500 ₹3,600 None 8. The inverse ratio of 5:85:85:8 is: 8:58:58:5 1:81:81:8 1:51:51:5 5:15:15:1 None 9. If a and b are in the ratio 4:5 and b and c are in the ratio 3:2, the ratio of a:b:c is: 12:15:10 15:20:24 6:8:5 12:20:15 None 10. The feasible region in a linear programming problem is: The set of all possible solutions The area where all constraints are satisfied The maximum profit region The area outside the constraints None 11. In a linear programming problem, the optimal solution lies: Inside the feasible region At the boundary points of the feasible region Outside the feasible region At the center of the feasible region None 12. The sum of deviations of observations from their mean is: Always zero Equal to the variance Equal to the standard deviation None of the above None 13. If the mean of 5 observations is 20, their total sum is: 100 80 20 400 None 14. A measure of central tendency not influenced by extreme values is: Mean Median Mode None of the above None 15. If the range of a dataset is 30, and the lowest value is 10, the highest value is: 30 10 40 50 None 16. The formula for the variance of a dataset is: Σ(x−xˉ)2N\frac{\Sigma(x - \bar{x})^2}{N}NΣ(x−xˉ)2 Σ(x−xˉ)2N−1\frac{\Sigma(x - \bar{x})^2}{N-1}N−1Σ(x−xˉ)2 Σ(xΣxN\frac{\Sigma x}{N}NΣx Σ(x−μ)2\Sigma(x - \mu)^2Σ(x−μ)2 None 17. The coefficient of correlation lies between: 0 and 1 -1 and 1 0 and infinity -1 and 0 None 18. If the correlation coefficient between two variables is -0.8, the relationship is: Strong positive Strong negative Weak positive No relationship None 19. The regression line equation is: Y=a+bXY = a + bXY=a+bX X=a+bYX = a + bYX=a+bY Y=bX+cY = bX + cY=bX+c X=c+bYX = c + bYX=c+bY None 20. The probability of an event is always between: -1 and 1 0 and 1 -1 and 0 None of the above None 21. If two events are independent, then P(A∩B)=P(A \cap B) =P(A∩B)=: P(A)+P(B)P(A) + P(B)P(A)+P(B) P(A)×P(B)P(A) \times P(B)P(A)×P(B) P(A)−P(B)P(A) - P(B)P(A)−P(B) None of the above None 22. The number of outcomes when rolling two dice is: 12 36 24 48 None 23. A binomial distribution is characterized by: Fixed number of trials Variable probabilities Infinite outcomes Dependent trials None 24. The mean of a Poisson distribution is: Equal to the variance Equal to the median Greater than the variance Less than the variance None 25. A shopkeeper marks an item at ₹800 and offers a 20% discount. The selling price is: ₹700 ₹640 ₹720 ₹600 None 26. If the cost price of an item is ₹500 and it is sold at ₹600, the profit percentage is: 10% 20% 15% 25% None 27. A man spends 60% of his income. If his income increases by 25% and his expenditure increases by 20%, his savings increase by: 20% 25% 30% 40% None 28. What is the compound interest on ₹10,000 at 10% per annum for 3 years, compounded annually? ₹3,310 ₹3,000 ₹3,100 ₹3,200 None 29. The time required to triple a sum of money at 10% simple interest per annum is: 10 years 20 years 30 years 15 years None 30. The median of the data set {4, 8, 10, 15, 20} is: 10 12 15 8 None 31. The mode of the data set {2, 3, 3, 5, 7, 8, 8, 8, 9} is: 3 5 8 9 None 32. The probability of getting a head when tossing a fair coin is: 14\frac{1}{4}41 12\frac{1}{2}21 111 000 None 33. If two dice are rolled, the probability of getting a sum of 7 is: 16\frac{1}{6}61 136\frac{1}{36}361 536\frac{5}{36}365 112\frac{1}{12}121 None 34. A card is drawn from a standard deck of 52 cards. The probability of getting a King is: 152\frac{1}{52}521 413\frac{4}{13}134 113\frac{1}{13}131 452\frac{4}{52}524 None 35. If r=−1r = -1r=−1, the correlation between two variables is: Perfectly positive Perfectly negative No correlation Undefined None 36. The coefficient of determination R2=0.64R^2 = 0.64R2=0.64 means: 64% of the variation in one variable is explained by the other 64% of the variation is unexplained 80% of the variation is explained None of the above None 37. The present value of ₹1,000 due in 3 years at a 5% annual discount rate is closest to: ₹850 ₹950 ₹863 ₹907 None 38. An annuity payment of ₹1,000 is made annually for 5 years at 10% interest. The future value is: ₹6,105 ₹5,000 ₹6,550 ₹6,710 None 39. The mean of {50, 60, 70, 80, 90} is: 65 70 75 80 None 40. If the probability of an event is 0.6, the probability of its complement is: 0.4 0.5 0.6 0.3 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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