Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 881 · 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.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
2. 2.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
3. 3.By selling a study lamp for ₹1140, a shopkeeper makes a loss of 25%. What did the study lamp cost the shopkeeper (in ₹)?
4. 4.A tap fills a tank in 2 hours. A leak at the bottom empties the full tank in 4 hours. With both open, how many hours does the tank take to fill?
5. 5.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
6. 6.A shop sells an average of 48 kg of sugar a day for 6 days, and then 68 kg a day for the next 2 days. What is the average sale per day for all 8 days (in kg)?
7. 7.Find the amount when ₹33125 is invested at 8% per year compound interest for 2 years (in ₹).
8. 8.How many cubes of edge 2 cm fit exactly in a box that is 8 cm × 6 cm × 8 cm?
9. 9.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
10. 10.Find the LCM of 3, 12 and 5.
11. 11.Meera can finish a job in 10 days and Tara in 30 days. Meera works alone for 7 days and then stops. Tara finishes the rest. How many days does Tara take?
12. 12.What is the smallest number you must take away from 758 so that it divides exactly by 13?
13. 13.Find the HCF of 126 and 56.
14. 14.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
15. 15.30 + 3 × 8 − 10 =
16. 16.The sum of two numbers is 130 and their difference is 52. What is the larger number?
17. 17.Three temple bells ring every 30, 8 and 5 minutes. They ring together at 9:00 am. After how many minutes will they next ring together?
18. 18.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
19. 19.Pipes A and B fill a tank in 4 and 8 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
20. 20.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
21. 21.By selling a bicycle for ₹225, a shopkeeper makes a loss of 25%. What did the bicycle cost the shopkeeper (in ₹)?
22. 22.A rectangular field is 20 m long and 16 m wide. What is its area (in sq m)?
23. 23.Find the LCM of 11, 10 and 5.
24. 24.A boat goes 35 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
25. 25.By selling a pressure cooker for ₹1260, a shopkeeper makes a loss of 10%. What did the pressure cooker cost the shopkeeper (in ₹)?
26. 26.Trees planted by each class
    Class 6: 60
    Class 7: 20
    Class 8: 50
    Class 9: 30
    Class 10: 40
    How many trees are there in all?
27. 27.What is 20% of 225?
28. 28.Rice at ₹27 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
29. 29.Meera takes 60 seconds and Karan takes 80 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?
30. 30.A school bag is marked at ₹430. The shop takes 25% off, and then a further 20% off the new price. How much do you pay (in ₹)?
31. 31.3 × (13 − 7) + 90 ÷ 9 =
32. 32.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
33. 33.A cylinder has a radius of 14 cm and a height of 15 cm. What is its volume (take π = 22/7; in cubic cm)?
34. 34.Find the LCM of 21 and 27.
35. 35.A cylinder has a radius of 21 cm and a height of 3 cm. What is its volume (take π = 22/7; in cubic cm)?
36. 36.I think of a number, multiply it by 2 and then add 20. The answer is 64. What is my number?
37. 37.Two tanks hold 35 litres and 25 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
38. 38.Pipes A and B fill a tank in 5 and 20 hours. Pipe C empties the full tank in 12 hours. If all three are open, how many hours does the tank take to fill?
39. 39.Books sold by a shop
    Mon: 60
    Tue: 75
    Wed: 45
    Thu: 60
    Fri: 60
    Which day has the fewest books? (a) Tue (b) Wed (c) Fri (d) Mon
40. 40.A closed box is 19 cm long, 13 cm wide and 12 cm high. What is its total surface area (in sq cm)?

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