Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 852 · 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.One number is 6 times another. Their difference is 180. What is the smaller number?
2. 2.Nisha can finish a job in 10 days and Pooja in 14 days. What fraction of the job do they finish if they work together for 2 days? =
3. 3.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
4. 4.(2 + 11) × 2 − 6 =
5. 5.Karan takes 75 seconds and Tara 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?
6. 6.A cylinder has a radius of 7 cm and a height of 20 cm. What is its volume (take π = 22/7; in cubic cm)?
7. 7.Find the smallest number bigger than 10 that leaves a remainder of 4 when divided by 10, 9 or 5.
8. 8.A fish tank is 50 cm long, 50 cm wide and 40 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
9. 9.Find the HCF of 24 and 84.
10. 10.A car runs for 4 hours at 80 km/h and then for 4 hours at 30 km/h. What is its average speed for the whole journey (in km/h)?
11. 11.2.47 + 1.6 =
12. 12.Books sold by a shop
    Mon: 25
    Tue: 20
    Wed: 20
    Thu: 20
    Fri: 15
    How many books are there in all?
13. 13.Write 17/50 as a percent.
14. 14.The average of 6 numbers is 37. When one more number is added, the average becomes 43. What number was added?
15. 15.A tap fills a tank in 15 hours. A leak at the bottom empties the full tank in 20 hours. With both open, how many hours does the tank take to fill?
16. 16.Rice at ₹30 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
17. 17.Pipes A and B fill a tank in 6 and 10 hours. Pipe C empties the full tank in 15 hours. If all three are open, how many hours does the tank take to fill?
18. 18.Diya puts ₹16900 in a bank at 12% simple interest per year. How much will she have after 2 years (in ₹)?
19. 19.The perimeter of a square is 28 cm. What is its area (in sq cm)?
20. 20.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
21. 21.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
22. 22.Kabir cycles to his school at 78 km/h and comes back by the same road at 39 km/h. What is his average speed for the whole trip (in km/h)?
23. 23.10 painters can paint a school in 16 days. How many days would 8 painters take, working at the same speed?
24. 24.A hall floor is 90 cm long and 60 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
25. 25.Meera can finish a job in 14 days and Priya in 7 days. Meera works alone for 8 days and then stops. Priya finishes the rest. How many days does Priya take?
26. 26.Find the HCF of 49 and 56.
27. 27.Aditya and Aarav start a business with ₹17000 and ₹13000. They earn a profit of ₹6000. What is Aarav’s share (in ₹)?
28. 28.12% of a number is 33. What is the number?
29. 29.Round 75.32 to one decimal place. =
30. 30.A hall floor is 315 cm long and 270 cm wide. It is covered with the largest square tiles that fit exactly. How many tiles are needed?
31. 31.Two trains, 200 m and 80 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
32. 32.Diya puts ₹3200 in a bank at 4% simple interest per year. How much will she have after 1 year (in ₹)?
33. 33.A water tank holds 1240 litres. 5% of the water is used. How many litres are left?
34. 34.What is the difference between the compound interest and the simple interest on ₹48700 at 20% per year for 2 years (in ₹)?
35. 35.What sum of money earns ₹2160 simple interest in 5 years at 9% per year (in ₹)?
36. 36.Write 1/5 as a percent.
37. 37.Nisha’s batting average after 9 innings is 50 runs. How many runs must Nisha score in the next innings to raise the average to 55?
38. 38.A water tank holds 480 litres. 10% of the water is used. How many litres are left?
39. 39.Find the LCM of 2, 3 and 6.
40. 40.If 3 kites cost ₹105, how much do 18 kites cost (in ₹)?

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