Welcome to your International Navodaya Chamber of Commerce (INCOC) Platform ! Subject: Quantitative AbilityTotal 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+y=10x + y = 10x+y=10 and x2+y2=58x^2 + y^2 = 58x2+y2=58, find xyxyxy 12 15 18 20 None 2. Simplify: (x+3)(x−3)(x + 3)(x - 3)(x+3)(x−3) x2−9x^2 - 9x2−9 x2+6x+9x^2 + 6x + 9x2+6x+9 x2−6x+9x^2 - 6x + 9x2−6x+9 x2+9x^2 + 9x2+9 None 3. If x=2x = 2x=2 and y=3y = 3y=3, find the value of x3+y3x^3 + y^3x3+y3 27 35 38 39 None 4. If 3x−4=83x - 4 = 83x−4=8, find the value of xxx. 2 4 6 8 None 5. Solve: 2x+3=72x + 3 = 72x+3=7 x=1x = 1x=1 x=2x = 2x=2 x=3x = 3x=3 x=4x = 4x=4 None 6. Find the probability of getting a 4 or 5 when a die is rolled. 1/6 1/3 1/2 2/3 None 7. If nPr=60nPr = 60nPr=60 and nCr=10nCr = 10nCr=10, find rrr 2 3 6 8 None 8. A bag contains 5 red, 4 green, and 6 blue balls. What is the probability of picking a green ball? 1/3 2/5 1/5 4/15 None 9. In how many ways can the letters of the word "LEADER" be arranged? 360 720 1440 7200 None 10. The sum of the ages of a father and his son is 50 years. After 10 years, the father's age will be twice that of the son. Find their current ages. 30, 20 35, 15 40, 10 45, 5 None 11. A shopkeeper buys an article for ₹500 and sells it for ₹600. Find the profit percentage. 10% 15% 20% 25% None 12. If a product is sold at a 10% loss for ₹450, find its cost price. ₹400 ₹500 ₹475 ₹525 None 13. An article is marked at ₹800, and a discount of 25% is given. Find the selling price. ₹600 ₹500 ₹650 ₹700 None 14. If the cost price of 15 articles is equal to the selling price of 12 articles, find the profit percentage. 15% 20% 25% 30% None 15. A man sells two items for ₹990 each, gaining 10% on one and losing 10% on the other. Find the overall gain or loss percentage. 1% loss 1% gain 2% loss No loss or gain None 16. Find the amount after 2 years if ₹10,000 is invested at 8% per annum simple interest. ₹11,500 ₹11,600 ₹12,000 ₹12,500 None 17. A sum of ₹12,000 is compounded annually at 10% per annum. Find the compound interest for 2 years. ₹2520 ₹2640 ₹2400 ₹2680 None 18. What is the time required to double a sum of money at 5% simple interest per annum? 15 years 20 years 25 years 30 years None 19. The difference between compound interest and simple interest on a sum for 2 years at 5% per annum is ₹25. Find the sum. ₹5000 ₹10,000 ₹12,000 ₹15,000 None 20. Find the rate of interest if a sum becomes four times itself in 20 years at simple interest. 15% 20% 25% 30% None 21. A train running at 60 km/h crosses a pole in 9 seconds. Find the length of the train. 150 m 180 m 200 m 250 m None 22. Two trains of lengths 120 m and 150 m are running in opposite directions at speeds of 40 km/h and 50 km/h. Find the time taken by the trains to cross each other. 10 s 12 s 15 s 18 s None 23. A man covers a distance of 60 km in 6 hours. If he increases his speed by 2 km/h, how much time will he take to cover the same distance? 4 hours 4.5 hours 5 hours 5.5 hours None 24. A car travels 540 km in 9 hours. Find its speed in m/s 15 m/s 16 m/s 18 m/s 20 m/s None 25. A cyclist covers a certain distance at 18 km/h and returns at 12 km/h. Find the average speed for the entire journey. 14 km/h 15 km/h 16 km/h 18 km/h None 26. The ratio of two numbers is 3:4, and their sum is 35. Find the smaller number. 12 15 16 18 None 27. If x:y=5:7x : y = 5 : 7x:y=5:7 and y:z=7:9y : z = 7 : 9y:z=7:9, find x:y:zx : y : zx:y:z. 5:7:9 5:9:7 35:49:63 25:35:49 None 28. Divide ₹2400 between A, B, and C in the ratio 2:3:5. How much does C get? ₹800 ₹1000 ₹1200 ₹1400 None 29. The income of A and B are in the ratio 3:5, and their expenses are in the ratio 2:3. If they save ₹3000 each, find their incomes. ₹9000, ₹15000 ₹12000, ₹20000 ₹15000, ₹25000 ₹18000, ₹30000 None 30. The ratio of the ages of two persons is 4:5, and the difference between their ages is 9 years. Find the sum of their ages 36 years 45 years 54 years 63 years None 31. A can complete a job in 10 days, and B can do it in 15 days. Working together, how long will they take to complete it? 6 days 7 days 8 days 9 days None 32. A and B together can complete a task in 8 days, while B alone can complete it in 12 days. How long will A take to complete it alone? 16 days 18 days 20 days 24 days None 33. C can complete a work in 40 days, and D can complete the same work in 30 days. If they work together, how much work is done in 6 days? 1/2 3/4 1/3 2/3 None 34. If 12 men can complete a work in 10 days, how many men are required to complete the same work in 8 days? 12 15 18 20 None 35. A worker is paid ₹600 for 8 hours of work. How much will he earn for 5 hours of work? ₹350 ₹375 ₹400 ₹450 None 36. Find the unit digit of 71257^{125}7125. 1 3 7 9 None 37. The sum of the first 15 natural numbers is: 100 105 110 120 None 38. Find the remainder when 738 is divided by 7. 2 3 4 5 None 39. If a=5a = 5a=5 and b=12b = 12b=12, find the value of a2+b2\sqrt{a^2 + b^2}a2+b2. 10 12 13 14 None 40. How many odd numbers are there between 1 and 100? 48 49 50 51 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!
