🧠Top Aptitude Questions & Answers
Q1. Describe a challenging problem you faced in a project. How did you solve it?
I identified key pain points through analytics and user surveys when engagement dropped. After redesigning critical features based on insights, we increased user engagement by 30% in 3 months.
Q2. How do you handle a dataset with missing values?
I analyze the missingness pattern and apply imputation strategies such as mean/mode replacement or removal depending on data importance and model sensitivity.
Q3. Can you explain ROI and how it’s calculated?
ROI (Return on Investment) = (Net Profit / Cost of Investment) × 100. It's used to evaluate the efficiency of an investment or compare multiple investments.
Q4. A product costs $50 with a 25% markup. What is the selling price?
Selling Price = 50 + (25% of 50) = $62.50
Q5. Three mislabeled boxes contain apples, oranges, and both. How do you find which is which with one pick?
Pick a fruit from the box labeled "Apples and Oranges." If it’s an apple, then that box contains only apples. Use logic to deduce the correct labeling for the others.
Q6. How do you prioritize tasks under multiple deadlines?
I use the Eisenhower Matrix to identify urgent vs. important tasks and schedule based on impact and due dates. Tools like Trello or Notion help track progress.
Q7. What comes next in the series: 2, 6, 12, 20, ?
Pattern: Add consecutive even numbers. 2+4=6, 6+6=12, 12+8=20, next is 20+10 = 30.
Q8. If A completes a task in 5 days and B in 10 days, how long will it take together?
Combined rate = 1/5 + 1/10 = 3/10 → Time = 10/3 = 3.33 days
Q9. A man walks 5 km north, 3 km east, then 2 km south. What's his distance from the start?
Net displacement = √[(3)^2 + (3)^2] = √18 = ~4.24 km
Q10. What is the angle between the hands of a clock at 3:15?
Minute hand at 90°, hour hand at 97.5°, angle = |97.5 - 90| = 7.5°
Q11. Find the missing number: 3, 6, 11, 18, ?
Differences: +3, +5, +7, +9 → Next number: 18 + 11 = 29
Q12. A train 120m long passes a pole in 6 seconds. Speed?
Speed = 120 / 6 = 20 m/s or 72 km/h
Q13. What is 40% of 120?
(40/100) × 120 = 48
Q14. A number is divided by 5, remainder is 3. What is the remainder when square of number is divided by 5?
Let number = 5k + 3 → Square = (5k + 3)^2 = 25k^2 + 30k + 9 → remainder when divided by 5 is 4
Q15. If 15 workers complete a job in 10 days, how many days for 10 workers?
Work = 15×10 = 150 worker-days → 150/10 = 15 days
Q16. What is the HCF of 36 and 60?
HCF(36, 60) = 12
Q17. Simplify: (2x + 3)(2x - 3)
Identity used: a² - b² → (2x)^2 - 3^2 = 4x² - 9
Q18. How many minutes are there in 3 days?
3 × 24 × 60 = 4320 minutes
Q19. If 6x – 3 = 3x + 9, find x.
6x – 3x = 9 + 3 → 3x = 12 → x = 4
Q20. Find square root of 2025.
√2025 = 45
Q21. What is the value of π?
π ≈ 3.1416
Q22. A = πr², what is A when r=7?
A = 22/7 × 7 × 7 = 154
Q23. Find LCM of 12 and 15.
LCM(12, 15) = 60
Q24. 25% of what number is 20?
20 × 100 / 25 = 80
Q25. Find the next number: 1, 4, 9, 16, ?
Squares → next: 25 = 5²
Q26. What is the average of first 5 natural numbers?
(1+2+3+4+5)/5 = 3
Q27. If selling price is Rs. 240 and profit is 20%, find cost price.
CP = SP × 100 / (100 + profit%) = 240 × 100 / 120 = Rs. 200
Q28. Find the compound interest on Rs. 1000 for 2 years at 10% p.a.
CI = 1000(1 + 10/100)^2 - 1000 = Rs. 210
Q29. A boat goes 30 km downstream in 3 hours and returns in 5 hours. Find speed of stream.
Downstream = 10 km/h, upstream = 6 km/h → Stream speed = (10 - 6)/2 = 2 km/h
Q30. If 5 pens cost Rs. 100, what is cost of 8 pens?
100/5 = 20 → 8×20 = Rs. 160
Q31. If 9x = 81, find x.
x = 81/9 = 9
Q32. The sum of two consecutive even numbers is 54. Find the numbers.
x + (x+2) = 54 → 2x = 52 → x = 26 → Numbers: 26, 28
Q33. Area of triangle with base 10 cm and height 5 cm?
(1/2) × 10 × 5 = 25 cm²
Q34. If 3 pencils cost Rs. 18, what is the cost of 10 pencils?
1 pencil = 18/3 = 6 → 10 × 6 = Rs. 60
Q35. A clock shows 4:20. What is the angle between the hands?
Hour = 130°, Minute = 120° → Angle = |130 - 120| = 10°
Q36. If 2x - 3 = 11, find x.
2x = 14 → x = 7
Q37. 1/3rd of a number is 15. What is the number?
x/3 = 15 → x = 45
Q38. Convert 0.75 into fraction.
0.75 = 3/4
Q39. What is the cube of 6?
6 × 6 × 6 = 216
Q40. Simplify: (5x + 2)²
25x² + 20x + 4
Q41. 12 is what percent of 48?
(12/48) × 100 = 25%
Q42. What is 15% of 200?
(15/100) × 200 = 30
Q43. Ratio of 2:3 and 4:5. Find compounded ratio.
(2×4):(3×5) = 8:15
Q44. Find square root of 1225.
√1225 = 35
Q45. Speed = 60 km/h, time = 4 hours. Find distance.
60 × 4 = 240 km
Q46. Find the simple interest on Rs. 500 at 5% for 3 years.
SI = (P×R×T)/100 = (500×5×3)/100 = Rs. 75
Q47. A shopkeeper sells an item for Rs. 80 with 20% loss. Find cost price.
CP = SP × 100 / (100 - loss%) = 80×100/80 = Rs. 100
Q48. Find next term: 3, 7, 13, 21, ?
Differences: +4, +6, +8 → Next: 21 + 10 = 31
Q49. If perimeter of square is 40 cm, find side.
4×side = 40 → side = 10 cm
Q50. A man saves 25% of income. If he saves Rs. 2000, find income.
25% = 2000 → Income = 2000×100/25 = Rs. 8000