Aptitude Quiz - Competitive Exams State_PSC

Free practice quiz: Aptitude (Competitive Exams State_PSC). 68 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This Competitive Exams State_PSC practice quiz has 68 multiple-choice questions on Aptitude. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. What is the average of the first 10 natural numbers?

   1. 5.5
   2. 6
   3. 5
   4. 4.5
   Show answer

   Answer: A. 5.5

2. The average of 5 numbers is 27. If one number is excluded, the average of the remaining numbers becomes 25. What is the excluded number?

   1. 35
   2. 30
   3. 40
   4. 32
   Show answer

   Answer: A. 35

3. A person travels from A to B at 60 km/h and returns from B to A at 40 km/h. What is the average speed for the whole journey?

   1. 52 km/h
   2. 48 km/h
   3. 55 km/h
   4. 50 km/h
   Show answer

   Answer: B. 48 km/h

4. A bag contains 4 red and 6 blue balls. Two balls are drawn at random. What is the probability that both are red?

   1. 1/5
   2. 2/15
   3. 2/25
   4. 4/25
   Show answer

   Answer: B. 2/15

5. A right circular cylinder has a base radius of 7 cm and height of 10 cm. What is its curved surface area? (Take π = 22/7)

   1. 550 cm²
   2. 440 cm²
   3. 220 cm²
   4. 330 cm²
   Show answer

   Answer: B. 440 cm²

More questions in this quiz

Answers and explanations are in the full quiz.

1. If the cost price of an article is Rs. 400 and it is sold for Rs. 500, what is the profit percentage?
2. Find the simple interest on Rs. 5,000 at 8% per annum for 2 years.
3. Two numbers are in the ratio 3:5 and their sum is 64. What is the smaller number?
4. A car covers 360 km in 4 hours 30 minutes. What is its average speed?
5. Find the LCM of 12, 15 and 20.
6. The marked price of an item is Rs. 800. If a discount of 15% is given, what is the selling price?
7. If 40% of the students in a class are girls and there are 30 boys, what is the total number of students?
8. Find the area of a circle of radius 7 cm. (Take pi = 22/7)
9. Which number is the odd one out: 3, 5, 7, 9, 11?
10. A train 120 m long is running at a speed of 54 km/h. How long will it take to cross a pole?
11. A can do a piece of work in 10 days and B can do it in 15 days. Working together, in how many days will they finish the work?
12. What is 15% of 20% of 500?
13. Find the compound interest on Rs. 1,000 at 10% per annum for 2 years, compounded annually.
14. A and B can fill a tank in 12 hours and 18 hours respectively. If both pipes are opened together, how long will they take to fill the tank?
15. A sum of money doubles itself in 8 years at simple interest. What is the annual rate of interest?
16. A 40-litre mixture contains milk and water in the ratio 3:1. If 10 litres of water is added to it, what will be the new ratio of milk to water?
17. A father is three times as old as his son. After 12 years, he will be twice as old as his son. What is the present age of the son?
18. A boat covers 15 km/h downstream and 9 km/h upstream. What is the speed of the boat in still water?
19. Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is 9?
20. How many different ways can the letters of the word 'LEADER' be arranged?
21. If x + 1/x = 5, what is the value of x^2 + 1/x^2?
22. A and B together can complete a work in 20 days. They work together for 5 days, then A leaves and B finishes the remaining work in 18 days. How long would A alone take to finish the work?
23. What is the next number in the series: 2, 6, 12, 20, 30, ?
24. A shopkeeper sells an article at a loss of 10%. If the cost price is Rs. 250, what is the selling price?
25. If a : b = 4 : 7 and b : c = 3 : 5, what is a : c?
26. What is the least number that must be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3?
27. A retailer marks his goods 40% above cost price and allows a discount of 25%. What is his profit percentage?
28. If the price of an article is first increased by 20% and then decreased by 20%, what is the net change in its price?
29. Two trains of lengths 100 m and 150 m are running in the same direction at speeds of 60 km/h and 42 km/h respectively. How long will the faster train take to cross the slower train?
30. If the price of sugar is increased by 25%, by what percentage must a family reduce its consumption so that the expenditure on sugar remains the same?
31. The average age of a class of 30 students is 15 years. When the teacher's age is included, the average becomes 16 years. What is the teacher's age?
32. At what rate per cent per annum will Rs. 4,000 amount to Rs. 5,324 in 3 years, compounded annually?
33. Pipe A can fill a tank in 6 hours and pipe B can empty it in 8 hours. If both pipes are opened together, in how many hours will the tank be full?
34. At what rate of simple interest per annum will a sum of money become 4 times of itself in 15 years?
35. A vessel contains 60 litres of milk. 12 litres of milk is taken out and replaced by water. This process is repeated once more. What is the quantity of milk left in the vessel?
36. The present age of A is twice that of B. 10 years ago, A was three times as old as B. What is the present age of B?
37. A boat goes 24 km downstream in 3 hours and returns to the starting point in 4 hours. What is the speed of the stream?
38. In how many ways can a committee of 3 be selected from 7 members?
39. A alone can finish a work in 12 days. B is 60% more efficient than A. In how many days can B alone finish the same work?
40. What is the next number in the series: 3, 5, 9, 17, 33, ?
41. What is the highest common factor (HCF) of 36 and 48?
42. If a number is divided by 7, the quotient is 12 and the remainder is 3. What is the number?
43. What is the value of sqrt(1764)?
44. A student scored 75, 82, 68, and 90 in four subjects. What is the average score?
45. The sum of the present ages of A and B is 60 years. If A is 4 years older than B, what is B's present age?
46. A rectangular field is 40 m long and 30 m wide. What is the length of its diagonal?
47. If a sum of Rs. 8,000 amounts to Rs. 9,680 in 2 years at simple interest, what is the annual rate of interest?
48. The product of two numbers is 216 and their HCF is 6. What is their LCM?
49. A clock shows 3:15. What is the angle between the hour hand and the minute hand?
50. What is the value of (0.025 × 0.4) ÷ 0.08?
51. If log₁₀ 2 = 0.3010, what is the value of log₁₀ 8?
52. A cone has a base radius of 5 cm and height of 12 cm. What is its slant height?
53. What is the probability of getting a prime number when a fair die is rolled once?
54. If x² - 5x + 6 = 0, what are the roots of the equation?
55. A person invested Rs. 12,000 partly at 10% and the rest at 15% per annum simple interest. If the total annual interest is Rs. 1,600, how much was invested at 15%?
56. The angles of a triangle are in the ratio 2:3:4. What is the measure of the largest angle?
57. What is the area of an equilateral triangle with side 6 cm?
58. If 15 men can build a wall in 20 days, how many days will 25 men take to build the same wall?
59. What is the sum of the interior angles of a regular hexagon?
60. A sum doubles itself at compound interest in 5 years. In how many years will it become 8 times itself?

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