Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 13 · 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.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
2. 2.A shopkeeper buys a study lamp for ₹200 and sells it for ₹280. Find the profit percent.
3. 3.Vivaan puts ₹18000 into a business for 9 months and Pooja puts ₹4000 for 5 months. The profit is ₹39130. What is Vivaan’s share (in ₹)?
4. 4.Visitors to a science museum
   Jan: 50
   Feb: 200
   Mar: 75
   Apr: 100
   May: 75
   What is the average number of visitors per month?
5. 5.What is 3/7 of 98 km?
6. 6.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
7. 7.Find the simple interest on ₹10200 at 4% per year for 3 years (in ₹).
8. 8.What is 1/5 of 125 km?
9. 9.2/3 of 24 + 5 × 6 =
10. 10.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
11. 11.The price of a school bag changes from ₹4760 to ₹6188. By what percent did it go up?
12. 12.Kabir starts a business with ₹2000. After 7 months, Ishaan joins with ₹7000. At the end of the year the profit is ₹25370. What is Kabir’s share (in ₹)?
13. 13.Kabir cycles to his school at 14 km/h and comes back by the same road at 84 km/h. What is his average speed for the whole trip (in km/h)?
14. 14.The simple interest on ₹16800 for 2 years is ₹4368. What is the rate of interest (% per year)?
15. 15.Rice at ₹46 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
16. 16.Divide ₹308 between Vivaan and Ananya in the ratio 4 : 3. How much does Vivaan get (in ₹)?
17. 17.The average of 7 numbers is 38. When one more number is added, the average becomes 39. What number was added?
18. 18.A fish tank is 100 cm long, 60 cm wide and 70 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
19. 19.A garden is 40 m long and 6 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
20. 20.A rectangular field is 22 m long and 17 m wide. What is its area (in sq m)?
21. 21.A closed box is 20 cm long, 9 cm wide and 11 cm high. What is its total surface area (in sq cm)?
22. 22.Rice at ₹79 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
23. 23.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
24. 24.A price goes up by 20% and then goes up by 5% more. By what percent has it gone up in all? =
25. 25.4.7 × 2 =
26. 26.Manav and Saanvi start a business with ₹13000 and ₹2000. They earn a profit of ₹30000. What is Saanvi’s share (in ₹)?
27. 27.Kavya can finish a job in 8 days and Kabir in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
28. 28.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
29. 29.A price goes up by 50% and then goes up by 25% more. By what percent has it gone up in all? =
30. 30.In 8 years, Nisha will be three times as old as Nisha was 6 years ago. How old is Nisha now?
31. 31.How many factors does 62 have?
32. 32.Find the amount when ₹40750 is invested at 20% per year compound interest for 3 years (in ₹).
33. 33.Ananya and Aarav start a business with ₹4000 and ₹7000. They earn a profit of ₹3300. What is Aarav’s share (in ₹)?
34. 34.Pipes A and B fill a tank in 3 and 4 hours. Pipe C empties the full tank in 2 hours. If all three are open, how many hours does the tank take to fill?
35. 35.Find the amount when ₹35100 is invested at 10% per year compound interest for 2 years (in ₹).
36. 36.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
37. 37.A park is 34 m long and 21 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
38. 38.Trees planted by each class
    Class 6: 120
    Class 7: 180
    Class 8: 120
    Class 9: 60
    Class 10: 120
    Which class has the fewest trees? (a) Class 6 (b) Class 9 (c) Class 10 (d) Class 8
39. 39.By selling a school bag for ₹360, a shopkeeper makes a profit of 50%. What did the school bag cost the shopkeeper (in ₹)?
40. 40.Ishaan’s father is four times as old as Ishaan. The sum of their ages is 60 years. How old is Ishaan?

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