Top 50 Aptitude Questions with Answers and Explanations [2025 Updated]

Section 1: Quantitative Aptitude

1. What is the value of (3 + 5)² - (3 - 5)²?

Solution:

Using the identity:
$(a + b)^{2} - (a - b)^{2} = 4 a b$
So,
$(3 + 5)^{2} - (3 - 5)^{2} = 4 \times 3 \times 5 = 60$

Answer: 60

2. A man can cover a distance in 2 hours at a speed of 60 km/hr. What is the distance?

Solution:

Distance = Speed × Time = 60 × 2 = 120 km

Answer: 120 km

3. A train 120 meters long runs at 60 km/hr. How long will it take to cross a pole?

Solution:

Convert speed to m/s:
$60 \times \frac{1000}{3600} = 16.67 m / s$
Time = Distance / Speed = 120 / 16.67 ≈ 7.2 seconds

Answer: 7.2 seconds

4. Simplify: $\frac{2}{3} + \frac{4}{5}$

Solution:
LCM of 3 and 5 = 15
$\frac{2 \times 5 + 4 \times 3}{15} = \frac{10 + 12}{15} = \frac{22}{15}$

Answer: $\frac{22}{15}$

5. A shopkeeper gives a 20% discount on an item worth Rs. 500. Find the selling price.

Solution:
Discount = 20% of 500 = 100
Selling Price = 500 - 100 = 400

Answer: Rs. 400

6. If 5x - 3 = 2x + 6, find x.

Solution:
5x - 2x = 6 + 3 → 3x = 9 → x = 3

Answer: 3

7. The average of 10, 20, 30, 40, 50 is?

Solution:
Sum = 150
Average = 150 / 5 = 30

Answer: 30

8. A number is 20 more than its 40%. What is the number?

Solution:
Let the number be x.
x = 0.4x + 20 → 0.6x = 20 → x = 33.33

Answer: 33.33

9. The area of a circle with radius 7 cm is?

Solution:
Area = πr² = $π \times 49 \approx 3.14 \times 49 = 153.86 c m^{2}$

Answer: 153.86 cm²

10. 10% of 250 + 15% of 200 = ?

Solution:
10% of 250 = 25, 15% of 200 = 30
Sum = 25 + 30 = 55

Answer: 55

Section 2: Logical Reasoning

11. What comes next in the series: 2, 6, 12, 20, ?

Solution:
Differences: 4, 6, 8...
Next difference = 10 → 20 + 10 = 30

Answer: 30

12. If CAT = 3120, then DOG = ? (A=1, B=2, ..., Z=26)

Solution:
C = 3, A = 1, T = 20 → 3 1 20 → 3120
D = 4, O = 15, G = 7 → 4157

Answer: 4157

13. Find the odd one: Apple, Banana, Mango, Carrot

Answer: Carrot (It is a vegetable; others are fruits)

14. If MONDAY is coded as NPMEBZ, then FRIDAY = ?

Solution:
Each letter +1: F → G, R → S, etc.
FRIDAY → GSJEBZ

Answer: GSJEBZ

15. 3, 9, 27, 81, ?

Solution:
Multiplying by 3 each time
Next = 81 × 3 = 243

Answer: 243

16. If 2 + 3 = 13, 3 + 4 = 25, then 4 + 5 = ?

Solution:
(2 + 3) + (2 × 3) = 5 + 6 = 11 (but given 13)
Alternate:
2 + 3 = 5 → 5 × 2 + 3 = 10 + 3 = 13
So, 4 + 5 = 9 → 9 × 4 + 5 = 36 + 5 = 41

Answer: 41

17. Which word cannot be formed from "TRANSMISSION"?

Options: MISSION, TRANS, SISTER, TRAIN

Answer: SISTER (no 'E' in "TRANSMISSION")

18. If LEFT is coded as RGXJ, then RIGHT = ?

Solution:
L → R, E → G, etc.
RIGHT → XKMNZ

Answer: XKMNZ

19. Complete the analogy: Book : Pages :: Dictionary : ?

Answer: Words

**20. Find the missing number:

7, 14, 28, 56, ?**

Solution:
×2 pattern → 56 × 2 = 112

Answer: 112

Section 3: Verbal Ability

21. Choose the correct spelling:

a) Ocassion
b) Occasion
c) Occassion
d) Ocasson

Answer: b) Occasion

22. Synonym of “Benevolent”?

Answer: Kind

23. Antonym of “Artificial”?

Answer: Natural

24. Choose the correct sentence:

a) He don’t like apples
b) He doesn’t like apples
c) He don’t likes apple
d) He doesn’t likes apple

Answer: b) He doesn’t like apples

25. Fill in the blank: She is fond ___ music.

Answer: of

26. Find the error: She go to school every day.

Correction: She goes to school every day.

27. Choose the correct word: Their / There / They’re going to the park.

Answer: They’re

28. Rearrange: “to / I / cinema / go / like / the”

Answer: I like to go to the cinema.

29. What is the plural of “Crisis”?

Answer: Crises

30. Choose the appropriate preposition: He is good ___ mathematics.

Answer: at

Section 4: Data Interpretation

31. A pie chart shows that 25% of a company’s budget goes to marketing. If the budget is $8000, how much is spent on marketing?

Solution:
25% of 8000 = $\frac{25}{100} \times 8000 = 2000$

Answer: $2000

32. If a bar graph shows sales over 5 months as 100, 200, 150, 250, 300, what is the average sales?

Solution:
(100 + 200 + 150 + 250 + 300)/5 = 1000/5 = 200

Answer: 200

33. In a survey, 40% liked tea, 60% liked coffee. If 100 people were surveyed, how many liked tea only?

Answer: 40

34. The ratio of boys to girls in a class is 3:2. If there are 30 students, how many girls are there?

Solution:
Total ratio parts = 3 + 2 = 5
Girls = (2/5) × 30 = 12

Answer: 12

35. A pie chart shows 120 degrees allocated to Production. What percentage is this?

Solution:
(120 / 360) × 100 = 33.33%

Answer: 33.33%

Section 5: Miscellaneous Aptitude

36. What is 10% of 10% of 1000?

Solution:
10% of 1000 = 100
10% of 100 = 10

Answer: 10

37. If a + b = 10 and ab = 21, find a² + b².

Solution:
a² + b² = (a + b)² - 2ab = 100 - 42 = 58

Answer: 58

38. A man buys an item for Rs. 100 and sells it for Rs. 120. Find profit %.

Solution:
Profit = 20
Profit % = (20 / 100) × 100 = 20%

Answer: 20%

39. Find the HCF of 48 and 60.

Solution:
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common = 1, 2, 3, 4, 6, 12
HCF = 12

Answer: 12

40. Find the LCM of 4, 5, 6.

Solution:
LCM = 60

Answer: 60

41. Find square root of 625.

Answer: 25

42. How many prime numbers between 1 and 20?

Answer: 8 (2, 3, 5, 7, 11, 13, 17, 19)

43. What is the cube of 5?

Answer: 125

44. If selling price = Rs. 240 and loss = 20%, find cost price.

Solution:
SP = 80% of CP → CP = SP / 0.8 = 240 / 0.8 = 300

Answer: Rs. 300

45. Find the simple interest on Rs. 5000 at 5% for 2 years.

SI = (P × R × T)/100 = (5000 × 5 × 2)/100 = 500

Answer: Rs. 500

46. What is the next prime number after 29?

Answer: 31

47. 25% of a number is 30. What is the number?

Solution:
x × 25/100 = 30 → x = 30 × 4 = 120

Answer: 120

48. The perimeter of a square is 40 cm. Find the side.

Solution:
Perimeter = 4 × side → side = 40 / 4 = 10

Answer: 10 cm

49. If A = 3 and B = 4, what is (A² + B²)?

Solution:
9 + 16 = 25

Answer: 25

50. If the volume of a cube is 27 cm³, find its side.

Solution:
Side = cube root of 27 = 3

Answer: 3 cm

Conclusion

Aptitude tests are a vital part of most competitive exams, job interviews, and academic assessments. Mastering them requires consistent practice, clear understanding, and strategic thinking. The 50 aptitude questions and answers provided above cover key topics in quantitative aptitude, logical reasoning, and verbal ability, helping you build accuracy and speed.

Keep practicing regularly, analyze your mistakes, and strengthen your weak areas. With the right approach and dedication, you can significantly improve your aptitude skills and boost your chances of success in any exam or recruitment process.

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