Quantitative Aptitude Test Worksheet

Quantitative aptitude lesson 30: Final aptitude test · Set 904 · 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 sum of two numbers is 80 and their difference is 76. What is the smaller number?
2. 2.A car runs for 3 hours at 46 km/h and then for 1 hour at 50 km/h. What is its average speed for the whole journey (in km/h)?
3. 3.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
4. 4.Find the amount when ₹42875 is invested at 20% per year compound interest for 3 years (in ₹).
5. 5.Visitors to a science museum
   Jan: 20
   Feb: 40
   Mar: 15
   Apr: 15
   May: 10
   How many visitors are there in all?
6. 6.After a 30% discount, a bicycle costs ₹3024. What was its marked price (in ₹)?
7. 7.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
8. 8.Find the compound interest on ₹30000 at 10% per year for 3 years, added every year (in ₹).
9. 9.What is 4/9 of 162 students?
10. 10.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
11. 11.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
12. 12.Find the LCM of 2 and 3.
13. 13.Rice at ₹63 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
14. 14.Marks of 6 friends in a quiz: 46, 52, 49, 71, 46, 84. What is their average mark?
15. 15.A price goes up by 40% and then comes down by 20%. By what percent has it gone up in all? =
16. 16.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
17. 17.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
18. 18.Which of these numbers divides exactly by 9? (a) 7011 (b) 7994 (c) 8683 (d) 6285
19. 19.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
20. 20.Find the LCM of 11, 2 and 9.
21. 21.Pipes A and B together fill a tank in 18 hours. Pipe A alone fills it in 27 hours. How many hours does pipe B alone take?
22. 22.A grocer mixes 2 kg of tea at ₹50 per kg with 9 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
23. 23.A fish tank is 100 cm long, 90 cm wide and 80 cm high. How many litres of water does it hold when full? (1 litre = 1000 cubic cm)
24. 24.Divide ₹224 between Rohan and Aarav in the ratio 4 : 3. How much does Rohan get (in ₹)?
25. 25.Mangoes sold by a fruit seller
    Mon: 100
    Tue: 225
    Wed: 75
    Thu: 75
    Fri: 25
    The number for Wed is what percent of the total?
26. 26.Kabir cycles to his school at 75 km/h and comes back by the same road at 50 km/h. What is his average speed for the whole trip (in km/h)?
27. 27.9/12 − 7/10 =
28. 28.In how many years will ₹7500 earn ₹450 as simple interest at 6% per year?
29. 29.A shopkeeper buys a pressure cooker for ₹1540 and sells it for ₹770. Find the loss percent.
30. 30.Mangoes sold by a fruit seller
    Mon: 100
    Tue: 60
    Wed: 120
    Thu: 40
    Fri: 80
    The number for Mon is what percent of the total?
31. 31.A pressure cooker bought for ₹1940 is sold at a profit of 20%. What is the selling price (in ₹)?
32. 32.Trees planted by each class
    Class 6: 35
    Class 7: 15
    Class 8: 20
    Class 9: 5
    Class 10: 25
    How many trees are there in all?
33. 33.50 + 3 × 10 − 27 =
34. 34.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
35. 35.Isha is 10 years older than Manav. In 3 years, the sum of their ages will be 32. How old is Manav now?
36. 36.Zoya starts a business with ₹20000. After 2 months, Aarav joins with ₹19000. At the end of the year the profit is ₹25800. What is Zoya’s share (in ₹)?
37. 37.Pipes A and B fill a tank in 8 and 10 hours. Pipe C empties the full tank in 5 hours. If all three are open, how many hours does the tank take to fill?
38. 38.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
39. 39.Change 40 m/s into km/h.
40. 40.A pipe (a cylinder) has a radius of 9 cm and a length of 14 cm. What is its curved surface area (take π = 22/7; in sq cm)?

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