Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 204 · 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.Pipes A and B fill a tank in 4 and 10 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
2. 2.Round 56332 to the nearest thousand.
3. 3.A price comes down by 25% and then comes down by 15% more. By what percent has it come down in all? =
4. 4.Two trains, 100 m and 440 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
5. 5.Books sold by a shop
   Mon: 20
   Tue: 30
   Wed: 25
   Thu: 10
   Fri: 15
   Which day has the most books? (a) Tue (b) Thu (c) Mon (d) Wed
6. 6.Kavya takes 80 seconds and Nisha takes 30 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?
7. 7.Rice at ₹74 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
8. 8.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
9. 9.I think of a number, multiply it by 2 and then take away 10. The answer is 2. What is my number?
10. 10.What is the smallest number you must take away from 138 so that it divides exactly by 13?
11. 11.A tap fills a tank in 20 hours. A leak at the bottom empties the full tank in 28 hours. With both open, how many hours does the tank take to fill?
12. 12.How many factors does 30 have?
13. 13.One number is 4 times another. Their difference is 21. What is the smaller number?
14. 14.Three temple bells ring every 9, 24 and 12 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
15. 15.The sum of two numbers is 121 and their difference is 7. What is the smaller number?
16. 16.Divide ₹550 between Rohan and Farhan in the ratio 7 : 4. How much does Farhan get (in ₹)?
17. 17.Two trains, 70 m and 170 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
18. 18.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 3, 15 or 12.
19. 19.A car runs for 2 hours at 50 km/h and then for 2 hours at 36 km/h. What is its average speed for the whole journey (in km/h)?
20. 20.A car goes 105 km on 7 litres of petrol. How far can it go on 26 litres (in km)?
21. 21.Sneha can finish a job in 3 days and Pooja in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
22. 22.The perimeter of a square is 12 cm. What is its area (in sq cm)?
23. 23.Kabir and Aarav together finish a job in 2 days. Kabir alone takes 4 days. How many days would Aarav take alone?
24. 24.Kavya’s batting average after 9 innings is 27 runs. How many runs must Kavya score in the next innings to raise the average to 32?
25. 25.Two tanks hold 250 litres and 400 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
26. 26.Farhan works three times as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
27. 27.How many factors does 36 have?
28. 28.Find the HCF of 70 and 90.
29. 29.Meera can finish a job in 8 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 2 days? =
30. 30.What is 20% of 410?
31. 31.Mangoes sold by a fruit seller
    Mon: 25
    Tue: 100
    Wed: 100
    Thu: 175
    Fri: 100
    What is the average number of mangoes per day?
32. 32.A pipe (a cylinder) has a radius of 7 cm and a length of 7 cm. What is its curved surface area (take π = 22/7; in sq cm)?
33. 33.Find the simple interest on ₹9800 at 4% per year for 3 years (in ₹).
34. 34.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
35. 35.Arjun’s batting average after 15 innings is 32 runs. How many runs must Arjun score in the next innings to raise the average to 34?
36. 36.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
37. 37.The simple interest on ₹12200 for 2 years is ₹1708. What is the rate of interest (% per year)?
38. 38.8/9 − 4/11 =
39. 39.If 5 bottles of juice cost ₹300, how much do 2 bottles of juice cost (in ₹)?
40. 40.Nisha starts a business with ₹17000. After 9 months, Pooja joins with ₹18000. At the end of the year the profit is ₹31390. What is Nisha’s share (in ₹)?

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