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. If x2−5x+6=0x^2 - 5x + 6 = 0x2−5x+6=0, the roots are: x=2,x=3x = 2, x = 3x=2,x=3 x=1,x=5x = 1, x = 5x=1,x=5 x=0,x=6x = 0, x = 6x=0,x=6 None of the above None 2. The value of (3a2b)2(3a^2b)^2(3a2b)2 is: 6a4b26a^4b^26a4b2 9a4b29a^4b^29a4b2 9a2b29a^2b^29a2b2 6a2b46a^2b^46a2b4 None 3. If a+b=10a + b = 10a+b=10 and ab=21ab = 21ab=21, the quadratic equation formed is: x2+10x+21=0x^2 + 10x + 21 = 0x2+10x+21=0 x2−10x+21=0x^2 - 10x + 21 = 0x2−10x+21=0 x2−10x−21=0x^2 - 10x - 21 = 0x2−10x−21=0 x2+10x−21=0x^2 + 10x - 21 = 0x2+10x−21=0 None 4. Simplify (a3b)2×a2(a^3b)^2 \times a^2(a3b)2×a2: a5b2a^5b^2a5b2 a8b2a^8b^2a8b2 a5ba^5ba5b a8b3a^8b^3a8b3 None 5. The present value of ₹5,000 due in 2 years at 10% per annum compounded annually is closest to: ₹4,545 ₹4,000 ₹4,050 ₹4,200 None 6. A sum of ₹10,000 earns ₹6,000 as interest in 5 years. The rate of interest is: 10% 12% 15% 18% None 7. If ₹2,000 is invested annually for 5 years at 10%, compounded annually, the future value is: ₹12,210 ₹12,500 ₹11,000 ₹13,000 None 8. The effective annual rate for 8% compounded quarterly is closest to: 8.16% 8.20% 8.24% 8.30% None 9. A trader makes a profit of 15% on selling an item for ₹575. The cost price is: ₹500 ₹550 ₹480 ₹460 None 10. A man buys 50 pens for ₹1,000 and sells them for ₹25 each. His profit percentage is: 15% 20% 25% 30% None 11. An article is sold at a 10% discount. The marked price is ₹800. The selling price is: ₹700 ₹720 ₹730 ₹740 None 12. A product costing ₹600 is sold at a loss of 10%. The selling price is: ₹540 ₹560 ₹580 ₹500 None 13. If a:b=2:3a:b = 2:3a:b=2:3 and b:c=4:5b:c = 4:5b:c=4:5, the ratio a:b:ca:b:ca:b:c is: 8:12:158:12:158:12:15 10:15:2010:15:2010:15:20 6:8:106:8:106:8:10 12:16:2012:16:2012:16:20 None 14. The ratio of 5 cm to 2 meters is: 5:2005:2005:200 1:401:401:40 1:201:201:20 1:101:101:10 None 15. If a person divides ₹600 among A and B in the ratio 3:5, B’s share is: ₹300 ₹350 ₹375 ₹400 None 16. The mean of 5,10,15,205, 10, 15, 205,10,15,20 is: 10 12.5 15 20 None 17. The mode of 4,8,8,10,124, 8, 8, 10, 124,8,8,10,12 is: 8 10 12 4 None 18. If the median of a dataset is 25, then half of the data lies below: 25 30 35 20 None 19. The range of 15,20,25,30,3515, 20, 25, 30, 3515,20,25,30,35 is: 15 20 25 30 None 20. If the variance is 9, the standard deviation is: 2 3 4 5 None 21. The probability of getting a head when flipping a coin is: 1/41/41/4 1/21/21/2 1/31/31/3 111 None 22. The probability of getting an odd number on a die is: 1/61/61/6 1/31/31/3 1/21/21/2 2/32/32/3 None 23. If two cards are drawn from a deck, the probability of both being Aces is: 1/1691/1691/169 1/2211/2211/221 1/521/521/52 1/131/131/13 None 24. The total number of outcomes when tossing 3 coins is: 6 8 12 16 None 25. The probability of rolling a 6 on two dice is: 1/361/361/36 1/181/181/18 5/365/365/36 1/61/61/6 None 26. The range of a dataset is: The average of all values The difference between the highest and lowest values The square root of variance The sum of all values None 27. If the mean of a dataset is 50, and the coefficient of variation (CV) is 20%, the standard deviation is: 10 15 20 25 None 28. The sum of deviations of data points from their mean is always: Positive Negative Zero Equal to the variance None 29. If the median and mean of a dataset are equal, the distribution is: Symmetrical Positively skewed Negatively skewed Bimodal None 30. The correlation coefficient r=1r = 1r=1 indicates: Perfect positive correlation Perfect negative correlation No correlation Weak positive correlation None 31. If r=−0.8r = -0.8r=−0.8, the relationship between the variables is: Strong positive Strong negative Weak positive No relationship None 32. The regression equation Y=4X+10Y = 4X + 10Y=4X+10 implies: YYY increases by 10 for every 4 units of XXX YYY increases by 4 for every unit of XXX YYY decreases as XXX increases XXX decreases as YYY increases None 33. The coefficient of determination R2=0.81R^2 = 0.81R2=0.81 means: 81% of the variation in YYY is explained by XXX 81% of the variation in XXX is explained by YYY The correlation coefficient is 0.81 The correlation coefficient is 0.64 None 34. The probability of getting at least one tail when tossing two coins is: 1/21/21/2 3/43/43/4 1/41/41/4 111 None 35. If a die is rolled, the probability of getting a number greater than 4 is: 1/31/31/3 1/61/61/6 2/32/32/3 1/21/21/2 None 36. The total number of outcomes when rolling 2 dice is: 12 24 36 48 None 37. The probability of drawing a King from a standard deck of cards is: 1/521/521/52 1/131/131/13 1/261/261/26 4/524/524/52 None 38. The probability of drawing a red card or a face card from a standard deck is: 3/43/43/4 1/21/21/2 9/269/269/26 5/135/135/13 None 39. In linear programming, the objective function is: A constraint A linear equation to be maximized or minimized A quadratic equation None of the above None 40. The feasible region in a linear programming problem is: The area where all constraints are satisfied The area outside the constraints The region that maximizes the objective function The solution to the problem 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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