Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 768 · 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.What sum of money earns ₹4830 simple interest in 3 years at 10% per year (in ₹)?
2. 2.Diya scored 15 marks out of 20 in a test. What percentage did Diya score?
3. 3.A grocer mixes 12 kg of tea at ₹51 per kg with 12 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
4. 4.Two trains, 100 m and 50 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
5. 5.A tap fills a tank in 14 hours. A leak at the bottom empties the full tank in 21 hours. With both open, how many hours does the tank take to fill?
6. 6.Two tanks hold 70 litres and 50 litres of milk. What is the biggest can (in litres) that can empty both tanks exactly, with no milk left over?
7. 7.Visitors to a science museum
   Jan: 105
   Feb: 45
   Mar: 45
   Apr: 30
   May: 75
   How many visitors are there in all?
8. 8.14 + 9 × 6 − 8 =
9. 9.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
10. 10.Find the amount when ₹24100 is invested at 20% per year compound interest for 2 years (in ₹).
11. 11.6 × (27 − 17) + 6 ÷ 3 =
12. 12.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its perimeter (in cm)?
13. 13.Rahul, Dev and Karan invest ₹11000, ₹10000 and ₹19000 in a shop. The profit is ₹32000. What is Karan’s share (in ₹)?
14. 14.75% of a number is 48. What is the number?
15. 15.Which is closest to 401 ÷ 19? (a) 10 (b) 40 (c) 200 (d) 20
16. 16.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
17. 17.Two trains, 140 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
18. 18.A triangle has a base of 10 cm and a height of 16 cm. What is its area (in sq cm)?
19. 19.Find the simple interest on ₹7400 at 7% per year for 4 years (in ₹).
20. 20.Karan works twice as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
21. 21.Rice at ₹53 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
22. 22.Which of these numbers divides exactly by 8? (a) 5836 (b) 7216 (c) 9619 (d) 1901
23. 23.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
24. 24.The sum of two numbers is 98 and their difference is 10. What is the smaller number?
25. 25.1/9 of 45 + 6 × 4 =
26. 26.If 5 bottles of juice cost ₹15, how much do 14 bottles of juice cost (in ₹)?
27. 27.5 years ago, Arjun’s mother was four times as old as Arjun. The mother is 25 years old now. How old is Arjun now?
28. 28.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
29. 29.In how many years will ₹13900 earn ₹556 as simple interest at 2% per year?
30. 30.Visitors to a science museum
    Jan: 80
    Feb: 80
    Mar: 100
    Apr: 80
    May: 60
    The number for Jan is what percent of the total?
31. 31.Aarav puts ₹20000 into a business for 6 months and Tara puts ₹19000 for 5 months. The profit is ₹21930. What is Aarav’s share (in ₹)?
32. 32.By selling a watch for ₹2139, a shopkeeper makes a profit of 15%. What did the watch cost the shopkeeper (in ₹)?
33. 33.Tara’s father is twice as old as Tara. The sum of their ages is 36 years. How old is Tara?
34. 34.Find the HCF of 96 and 60.
35. 35.Ishaan starts a business with ₹14000. After 8 months, Tara joins with ₹3000. At the end of the year the profit is ₹3900. What is Ishaan’s share (in ₹)?
36. 36.A bus runs at 78 km/h. How far does it go in 40 minutes (in km)?
37. 37.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
38. 38.Manav starts a business with ₹13000. After 4 months, Priya joins with ₹8000. At the end of the year the profit is ₹27500. What is Manav’s share (in ₹)?
39. 39.The sum of 5 consecutive numbers is 65. What is the largest of them?
40. 40.Solve for x: 5(x + 7) = 4x + 36. What is x?

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