Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 990 · 40 questions

The method (Type, method, check): Name the type of question. Write the formula or method from that lesson and work step by step. Check units and size, and put the answer back into the question.

1. 1.Which of these numbers divides exactly by 8? (a) 8573 (b) 1998 (c) 7952 (d) 6195
2. 2.Pipes A and B fill a tank in 5 and 15 hours. Pipe C empties the full tank in 10 hours. If all three are open, how many hours does the tank take to fill?
3. 3.Rice at ₹35 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
4. 4.Vivaan’s batting average after 8 innings is 46 runs. How many runs must Vivaan score in the next innings to raise the average to 48?
5. 5.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
6. 6.In how many years will ₹11800 earn ₹1888 as simple interest at 4% per year?
7. 7.Which is closest to 198 × 82? (Round each number first.) (a) 32000 (b) 16000 (c) 160000 (d) 1600
8. 8.Students who chose each subject
   Maths: 80
   Science: 120
   English: 280
   Hindi: 160
   Art: 160
   What is the difference between the highest and the lowest number of students?
9. 9.If 2 bottles of juice cost ₹110, how much do 12 bottles of juice cost (in ₹)?
10. 10.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
11. 11.The sum of two numbers is 135 and their difference is 19. What is the larger number?
12. 12.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
13. 13.What is 50% of 50?
14. 14.Karan works twice as fast as Saanvi. Together they finish a job in 8 days. How many days would Saanvi take alone?
15. 15.Diya puts ₹3000 into a business for 4 months and Farhan puts ₹13000 for 10 months. The profit is ₹34080. What is Diya’s share (in ₹)?
16. 16.How many cubes of edge 5 cm fit exactly in a box that is 15 cm × 15 cm × 15 cm?
17. 17.Two tanks hold 80 litres and 30 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
18. 18.Find the compound interest on ₹42475 at 20% per year for 2 years, added every year (in ₹).
19. 19.12 × ? + 1 = 205
20. 20.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
21. 21.Meera can finish a job in 4 days and Saanvi in 24 days. Meera works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
22. 22.Students who chose each subject
    Maths: 140
    Science: 100
    English: 80
    Hindi: 60
    Art: 20
    The number for Hindi is what percent of the total?
23. 23.Rice at ₹30 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
24. 24.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
25. 25.A car runs for 2 hours at 34 km/h and then for 4 hours at 43 km/h. What is its average speed for the whole journey (in km/h)?
26. 26.Vivaan takes 45 seconds and Isha takes 48 seconds to run once round a track. They start together from the start line. After how many seconds will they first be at the start line together again?
27. 27.What is the smallest number you must take away from 625 so that it divides exactly by 12?
28. 28.Pooja and Priya together finish a job in 11 days. Pooja alone takes 22 days. How many days would Priya take alone?
29. 29.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
30. 30.Which is closest to 404 + 297 + 695? (a) 1500 (b) 1400 (c) 1600 (d) 1300
31. 31.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
32. 32.Three temple bells ring every 20, 12 and 30 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
33. 33.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
34. 34.The ratio of boys to girls in a class is 5 : 4. There are 45 boys. How many girls are there?
35. 35.A garden is 36 m long and 27 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
36. 36.Change 90 km/h into metres per second.
37. 37.A tap fills a tank in 18 hours. A leak at the bottom empties the full tank in 36 hours. With both open, how many hours does the tank take to fill?
38. 38.A cylinder has a radius of 21 cm and a height of 9 cm. What is its volume (take π = 22/7; in cubic cm)?
39. 39.What percent of 25 is 6?
40. 40.A watch is marked at ₹555. The shop takes 50% off, and then a further 20% off the new price. How much do you pay (in ₹)?

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