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. What is the area of a triangle with base 10 cm and height 8 cm? 20 cm² 40 cm² 80 cm² 100 cm² None 2. Find the perimeter of a rectangle whose length is 12 cm and breadth is 8 cm. 20 cm 40 cm 48 cm 60 cm None 3. If the radius of a circle is 7 cm, what is its circumference? (Take π = 22/7) 22 cm 44 cm 49 cm 154 cm None 4. Find the area of a square with a side length of 15 cm. 150 cm² 200 cm² 255 cm² 250 cm² None 5. What is the volume of a cube with an edge length of 6 cm? 36 cm³ 72 cm³ 216 cm³ 512 cm³ None 6. The diagonal of a rectangle is 13 cm, and one side is 5 cm. Find the other side. 10 cm 12 cm 15 cm 17 cm None 7. The base and height of a parallelogram are 14 cm and 8 cm. Find its area. 112 cm² 120 cm² 128 cm² 140 cm² None 8. Find the length of the diagonal of a square whose side is 10 cm. 10√2 cm 12√2 cm 14 cm 15√2 cm None 9. If the radius of a cylinder is 7 cm and its height is 10 cm, what is its volume? (Take π = 22/7) 1540 cm³ 1450 cm³ 1320 cm³ 1700 cm³ None 10. Find the total surface area of a sphere with a radius of 14 cm. (Take π = 22/7) 2464 cm² 2684 cm² 2944 cm² 3080 cm² None 11. A survey shows the following distribution of grades: A = 30%, B = 40%, C = 20%, D = 10%. If there are 500 students, how many scored grade B? 150 200 250 300 None 12. The following bar graph shows the number of cars sold by a dealer in five months: Jan: 40, Feb: 50, Mar: 60, Apr: 70, May: 80. What is the average number of cars sold per month? 50 60 70 80 None 13. A pie chart shows the following percentages of expenditure: Rent 30%, Food 25%, Travel 20%, Savings 25%. If the total income is ₹60,000, how much is spent on food? ₹12,000 ₹15,000 ₹18,000 ₹20,000 None 14. A line graph shows the monthly income of a person in thousands: Jan: 25, Feb: 30, Mar: 28, Apr: 35, May: 40. What is the total income for these 5 months? ₹150,000 ₹158,000 ₹168,000 ₹178,000 None 15. A table shows the marks of 5 students in Mathematics: 45, 50, 60, 55, and 40. Find the median of the marks. 45 50 55 60 None 16. What is the value of sin 30°? 1/2 √2/2 √3/2 1 None 17. If tan θ = 1, what is the value of θ? 30° 45° 60° 90° None 18. Find the value of cos 60°. 0 1/2 √3/2 1 None 19. What is the value of sin²45° + cos²45°? 0 1/2 √3/2 1 None 20. If sec θ = 2, find cos θ. 1/2 1 2 √3 None 21. How many ways can 4 people be arranged in a row? 12 24 36 48 None 22. Find the probability of getting a head when a coin is tossed. 1/4 1/2 1 2/3 None 23. In how many ways can a committee of 3 people be formed from 5 people? 5 10 15 20 None 24. If 8C3 = 56, how many combinations can be formed? 48 52 56 60 None 25. If the sum of three consecutive integers is 63, find the smallest integer. 19 20 21 22 None 26. Find the area of a rectangle whose length is 18 cm and breadth is 12 cm. 180 cm² 216 cm² 240 cm² 260 cm² None 27. The perimeter of a square is 64 cm. Find its area. 128 cm² 144 cm² 256 cm² 512 cm² None 28. A cone has a radius of 7 cm and height 24 cm. Find its volume. (Take π = 22/7) 1232 cm³ 1208 cm³ 1248 cm³ 1250 cm³ None 29. What is the lateral surface area of a cylinder with a radius of 5 cm and height 10 cm? (Take π = 3.14) 314 cm² 440 cm² 500 cm² 628 cm² None 30. The diameter of a sphere is 14 cm. Find its volume. (Take π = 22/7) 1436 cm³ 1544 cm³ 1436.8 cm³ 1545 cm³ None 31. Find the least number that must be added to 2400 to make it a perfect square. 1 25 35 49 None 32. How many trailing zeroes are there in 50!? 10 12 14 15 None 33. What is the HCF of 72 and 120? 12 18 24 36 None 34. The LCM of two numbers is 48, and their HCF is 4. If one number is 12, what is the other number? 8 16 24 36 None 35. Find the smallest 4-digit number divisible by 12, 15, and 18. 1080 1200 1440 1800 None 36. A train 150 m long crosses a platform of 350 m in 20 seconds. Find its speed. 25 m/s 30 m/s 40 m/s 50 m/s None 37. A car travels 80 km at a speed of 40 km/h and then 120 km at a speed of 60 km/h. Find the average speed for the entire journey. 48 km/h 50 km/h 54 km/h 60 km/h None 38. A boat goes 30 km upstream in 3 hours and downstream the same distance in 2 hours. Find the speed of the stream. 2 km/h 3 km/h 4 km/h 5 km/h None 39. A person walks at 5 km/h for 2 hours and at 4 km/h for 3 hours. What is the total distance covered? 20 km 22 km 25 km 30 km None 40. A man can row 12 km downstream in 2 hours and upstream the same distance in 3 hours. Find the speed of the boat in still water. 5 km/h 6 km/h 7 km/h 8 km/h None 1 out of 4 Great job on taking the INCOC Test! 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