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 x+1/x=3x + 1/x = 3x+1/x=3, what is x2+1/x2x^2 + 1/x^2x2+1/x2? 7 9 5 6 None 2. The solution of the equation 5x+2=175x + 2 = 175x+2=17 is: x=3x = 3x=3 x=5x = 5x=5 x=4x = 4x=4 x=6x = 6x=6 None 3. The quadratic equation x2−5x+6=0x^2 - 5x + 6 = 0x2−5x+6=0 has roots: x=2,x=3x = 2, x = 3x=2,x=3 x=3,x=4x = 3, x = 4x=3,x=4 x=2,x=4x = 2, x = 4x=2,x=4 None of the above None 4. The value of (2x3)(x2)(2x^3)(x^2)(2x3)(x2) is: 2x62x^62x6 2x52x^52x5 x6x^6x6 None of the above None 5. If A={1,2,3}A = \{1, 2, 3\}A={1,2,3} and B={3,4,5}B = \{3, 4, 5\}B={3,4,5}, then A∪BA \cup BA∪B is: {1,2,3,4,5}\{1, 2, 3, 4, 5\}{1,2,3,4,5} {3}\{3\}{3} {1,2,3}\{1, 2, 3\}{1,2,3} {4,5}\{4, 5\}{4,5} None 6. The present value of ₹10,000 receivable in 3 years at 5% annual interest is closest to: ₹8,600 ₹8,750 ₹9,000 ₹9,500 None 7. The effective annual rate for 12% compounded semi-annually is: 12.36% 12.55% 12.75% 13% None 8. A loan of ₹20,000 is repaid in 5 equal annual installments. If the rate of interest is 8%, the annual installment is approximately: ₹5,008 ₹5,192 ₹5,250 ₹5,300 None 9. The future value of ₹5,000 invested annually for 4 years at 10% annual interest is: ₹22,000 ₹23,200 ₹24,155 ₹25,000 None 10. An article is sold at a profit of 25%. If the cost price is ₹800, the selling price is: ₹900 ₹950 ₹1,000 ₹1,100 None 11. A man buys 2 dozen pencils at ₹20 and sells them at ₹1 per pencil. His profit percentage is: 10% 30% 20% 40% None 12. If a man gives two successive discounts of 20% and 10% on a product, the net discount is: 28% 30% 25% 27% None 13. The selling price of an article is ₹500 after a 20% loss. The cost price is: ₹600 ₹625 ₹650 ₹550 None 14. If a:b=3:4a:b = 3:4a:b=3:4 and b:c=2:5b:c = 2:5b:c=2:5, then a:b:ca:b:ca:b:c is: 6:8:10 6:8:20 15:10:5 15:20:40 None 15. The ratio of 15 cm to 2 meters is: 1:201:201:20 3:403:403:40 1:251:251:25 2:252:252:25 None 16. If x:y=5:7x:y = 5:7x:y=5:7, and y:z=3:4y:z = 3:4y:z=3:4, then x:y:zx:y:zx:y:z is: 15:21:2815:21:2815:21:28 20:28:3520:28:3520:28:35 12:16:2012:16:2012:16:20 35:21:1535:21:1535:21:15 None 17. The mean of 5,10,15,20,255, 10, 15, 20, 255,10,15,20,25 is: 15 18 16 20 None 18. The mode of 4,6,8,6,10,124, 6, 8, 6, 10, 124,6,8,6,10,12 is: 6 8 10 12 None 19. If the median of a dataset is 50, the sum of the upper and lower quartiles is: 90 80 70 100 None 20. The range of 15,10,25,5,3015, 10, 25, 5, 3015,10,25,5,30 is: 15 25 20 30 None 21. If r=0.8r = 0.8r=0.8, the relationship between variables is: Strong positive Weak positive Strong negative Weak negative None 22. The regression line equation Y=2X+10Y = 2X + 10Y=2X+10 suggests that: YYY increases by 10 for every 2 units of XXX YYY decreases as XXX increases YYY increases by 2 for every 1 unit of XXX None of the above None 23. The probability of getting a 5 when rolling a fair die is: 16\frac{1}{6}61 15\frac{1}{5}51 14\frac{1}{4}41 13\frac{1}{3}31 None 24. If two coins are tossed, the probability of getting at least one head is: 12\frac{1}{2}21 34\frac{3}{4}43 14\frac{1}{4}41 13\frac{1}{3}31 None 25. The total number of outcomes when rolling two dice is: 36 12 18 24 None 26. A sum of ₹8,000 earns ₹2,400 as simple interest in 3 years. The rate of interest per annum is: 8% 10% 12% 15% None 27. The compound interest on ₹4,000 at 5% per annum for 3 years, compounded annually, is: ₹620 ₹630 ₹630.50 ₹640 None 28. If an article is sold at a loss of 15%, and the selling price is ₹340, the cost price is: ₹400 ₹300 ₹350 ₹375 None 29. An article is marked at ₹900 and sold at ₹810 after a discount. The discount percentage is: 8% 10% 12% 15% None 30. A sum of ₹2,400 is divided among A, B, and C in the ratio 2:3:4. The share of B is: ₹600 ₹800 ₹900 ₹720 None 31. If a:b=5:8a:b = 5:8a:b=5:8 and b:c=6:7b:c = 6:7b:c=6:7, then a:b:ca:b:ca:b:c is: 15:24:2815:24:2815:24:28 30:48:5630:48:5630:48:56 20:32:3520:32:3520:32:35 25:30:4225:30:4225:30:42 None 32. The mean of 3,5,7,9,113, 5, 7, 9, 113,5,7,9,11 is: 5 7 9 8 None 33. The median of 2,6,10,14,18,222, 6, 10, 14, 18, 222,6,10,14,18,22 is: 10 12 14 16 None 34. The range of 4,7,10,15,204, 7, 10, 15, 204,7,10,15,20 is: 16 17 18 15 None 35. The variance of 3,6,93, 6, 93,6,9 is: 6 9 12 18 None 36. If the standard deviation is 4, the variance is: 12 16 20 24 None 37. The probability of drawing a red card from a standard deck of 52 cards is: 12\frac{1}{2}21 14\frac{1}{4}41 113\frac{1}{13}131 126\frac{1}{26}261 None 38. The probability of rolling a 3 or a 5 on a fair die is: 16\frac{1}{6}61 26\frac{2}{6}62 36\frac{3}{6}63 46\frac{4}{6}64 None 39. The coefficient of determination R2=0.64R^2 = 0.64R2=0.64 means that: 64% of the variability in YYY is explained by XXX 64% of XXX is explained by YYY RRR is negative There is no relationship between XXX and YYY None 40. If Y=2X+5Y = 2X + 5Y=2X+5, the slope of the regression line is: 2 5 1 None of the above 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! 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