Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 999 · 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 70. What is the smaller number?
2. 2.By selling a school bag for ₹676, a shopkeeper makes a profit of 30%. What did the school bag cost the shopkeeper (in ₹)?
3. 3.Divide ₹406 between Pooja and Aarav in the ratio 5 : 9. How much does Aarav get (in ₹)?
4. 4.Ishaan’s father is three times as old as Ishaan. The sum of their ages is 52 years. How old is Ishaan?
5. 5.A garden is 19 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
6. 6.Saanvi starts a business with ₹19000. After 5 months, Arjun joins with ₹17000. At the end of the year the profit is ₹45110. What is Saanvi’s share (in ₹)?
7. 7.9/11 − 4/8 =
8. 8.A water tank holds 480 litres. 30% of the water is used. How many litres are left?
9. 9.Students who chose each subject
   Maths: 120
   Science: 20
   English: 80
   Hindi: 40
   Art: 140
   What is the average number of students per subject?
10. 10.A grocer mixes 3 kg of tea at ₹70 per kg with 6 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
11. 11.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
12. 12.A car goes 40 km on 2 litres of petrol. How far can it go on 24 litres (in km)?
13. 13.A price goes up by 30% and then goes up by 20% more. By what percent has it gone up in all? =
14. 14.Farhan puts ₹14000 into a business for 4 months and Tara puts ₹6000 for 12 months. The profit is ₹10720. What is Farhan’s share (in ₹)?
15. 15.By selling a pressure cooker for ₹1800, a shopkeeper makes a profit of 50%. What did the pressure cooker cost the shopkeeper (in ₹)?
16. 16.Kabir is 4 years older than Ishaan. In 2 years, the sum of their ages will be 40. How old is Ishaan now?
17. 17.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 8 hours. How many hours does pipe B alone take?
18. 18.Find the HCF of 45 and 35.
19. 19.A fish tank is 90 cm long, 30 cm wide and 30 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
20. 20.If 6 kg of rice costs ₹222, how many kg can you buy for ₹555?
21. 21.Which of these numbers divides exactly by 6? (a) 1505 (b) 8596 (c) 1041 (d) 4482
22. 22.Which is closest to 396 × 72? (Round each number first.) (a) 2800 (b) 280000 (c) 28000 (d) 56000
23. 23.Rohan can finish a job in 10 days and Kavya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
24. 24.After a 15% discount, a bicycle costs ₹3383. What was its marked price (in ₹)?
25. 25.Vivaan, Arjun and Pooja invest ₹14000, ₹12000 and ₹4000 in a shop. The profit is ₹6000. What is Pooja’s share (in ₹)?
26. 26.Divide ₹462 between Meera and Vivaan in the ratio 5 : 9. How much does Vivaan get (in ₹)?
27. 27.Find the smallest number bigger than 15 that leaves a remainder of 2 when divided by 10, 8 or 15.
28. 28.The price of a school bag changes from ₹3020 to ₹4530. By what percent did it go up?
29. 29.Find the simple interest on ₹1100 at 2% per year for 3 years (in ₹).
30. 30.After a 15% discount, a pair of shoes costs ₹595. What was its marked price (in ₹)?
31. 31.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
32. 32.Students who chose each subject
    Maths: 60
    Science: 45
    English: 30
    Hindi: 75
    Art: 90
    Which subject has the most students? (a) English (b) Maths (c) Hindi (d) Art
33. 33.Tara and Pooja together finish a job in 10 days. Tara alone takes 15 days. How many days would Pooja take alone?
34. 34.A fish tank is 30 cm long, 60 cm wide and 100 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
35. 35.Rahul has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
36. 36.8 : 6 = 72 : ?
37. 37.A study lamp bought for ₹1280 is sold at a loss of 10%. What is the selling price (in ₹)?
38. 38.Two trains, 220 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
39. 39.6 : 12 = 24 : ?
40. 40.Zoya can finish a job in 4 days and Rahul in 16 days. Zoya works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?

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