Quantitative Aptitude Test Questions for Interview
Quantitative aptitude questions test your ability to calculate percentages, ratios, averages, profit, interest, work rates and speed. In recruitment tests, the challenge is often solving these problems accurately without spending too much time on one question.
1. Percentage Change
A company’s revenue increases from ₹6 lakh to ₹7.5 lakh. What is the percentage increase?
Answer: 25%
Solution:
Increase = ₹1.5 lakh.
Percentage increase = (1.5 ÷ 6) × 100 = 25%.
2. Successive Percentage Change
A product’s price increases by 20% and then decreases by 10%. If the original price was ₹5,000, what is the final price?
Answer: ₹5,400
Solution:
After 20% increase = ₹6,000.
After 10% decrease = ₹6,000 × 90% = ₹5,400.
3. Ratio and Workforce
The ratio of permanent to contract employees in a department is 7:3. If 40 contract employees work there, how many permanent employees are there?
Answer: 93⅓
Since employee numbers must be whole numbers, this ratio does not produce a valid workforce count. This is a useful test-taking lesson: check whether the given ratio and total figures are compatible before accepting an answer.
4. Average
The average monthly sales of a salesperson for four months is ₹2.8 lakh. If sales in the first three months were ₹2.4 lakh, ₹3.1 lakh and ₹2.7 lakh, what were the sales in the fourth month?
Answer: ₹3 lakh
Solution:
Four-month total = ₹11.2 lakh.
First three months = ₹8.2 lakh.
Fourth month = 11.2 − 8.2 = ₹3 lakh.
5. Profit and Loss
A retailer buys an item for ₹2,400 and marks it 25% above cost. He then offers a 10% discount. What is his actual profit percentage?
Answer: 12.5%
Solution:
Marked price = ₹3,000.
Selling price after 10% discount = ₹2,700.
Profit = ₹300.
Profit percentage = 300 ÷ 2,400 × 100 = 12.5%.
6. Compound Interest
An amount of ₹20,000 is invested at 10% compound interest per year for two years. Find the interest earned.
Answer: ₹4,200
Solution:
After year one = ₹22,000.
After year two = ₹24,200.
Compound interest = ₹4,200.
7. Time and Work
A team of 8 employees completes a project in 15 days. Assuming everyone works at the same rate, how many days would 12 employees need?
Answer: 10 days
Solution:
Total work = 8 × 15 = 120 employee-days.
120 ÷ 12 = 10 days.
8. Speed and Distance
A candidate travels 180 km to attend an interview. If the first 90 km is covered at 45 km/h and the remaining 90 km at 60 km/h, what is the average speed?
Answer: 51.43 km/h approximately
Solution:
First 90 km takes 2 hours.
Second 90 km takes 1.5 hours.
Total time = 3.5 hours.
Average speed = 180 ÷ 3.5 = 51.43 km/h.
Number System Questions
These questions test factors, divisibility, remainders and numerical relationships. They are often quick to solve once you recognise the underlying pattern.
9. Remainder
What is the remainder when 3,847 is divided by 17?
Answer: 7
Solution:
17 × 226 = 3,842.
Remainder = 3,847 − 3,842 = 5.
Therefore, the correct answer is 5.
10. Divisibility
What is the smallest number that must be added to 2,387 to make it divisible by 9?
Answer: 4
Solution:
Digit sum = 2 + 3 + 8 + 7 = 20.
The next multiple of 9 is 27, so add 7.
Therefore, the correct answer is 7.
11. HCF
Two project schedules repeat every 24 and 36 days. What is the greatest interval that divides both periods exactly?
Answer: 12 days
Solution:
HCF of 24 and 36 = 12.
12. LCM
Three automated reports are generated every 6, 8 and 12 hours. After how many hours will all three be generated together again?
Answer: 24 hours
Solution:
LCM of 6, 8 and 12 = 24.
13. Fraction Comparison
Which is greater: 7/12 or 5/8?
Answer: 5/8
Solution:
7/12 = 14/24.
5/8 = 15/24.
Therefore, 5/8 is greater.
14. Algebraic Reasoning
A number is increased by 30% and becomes 260. What was the original number?
Answer: 200
Solution:
130% of the original = 260.
Original = 260 ÷ 1.3 = 200.
Logical Reasoning Questions
Logical reasoning questions require you to identify a rule, compare relationships or determine what can actually be concluded from the information given.
15. Number Series
Find the next number:
3, 8, 18, 38, 78, ?
Answer: 158
Solution:
Each number is multiplied by 2 and then 2 is added.
78 × 2 + 2 = 158.
16. Number Series
Find the missing number:
2, 6, 12, 20, 30, ?
Answer: 42
Solution:
The differences are 4, 6, 8, 10.
Next difference = 12.
30 + 12 = 42.
17. Coding-Decoding
If each letter in a word is shifted two positions forward in the alphabet, how is TEAM coded?
Answer: VGCO
Solution:
T→V, E→G, A→C, M→O.
18. Direction Test
A person walks 10 metres east, turns left and walks 6 metres, then turns left and walks 10 metres. Where are they relative to the starting point?
Answer: 6 metres north
The east and west movements cancel, leaving the person 6 metres north of the starting point.
19. Syllogism
Statements:
- All project managers are employees.
- Some employees are designers.
Conclusion: Some project managers are designers.
Answer: Cannot be concluded
The two groups may overlap, but the statements do not prove that they do.
20. Ranking
Five candidates score 72, 85, 68, 91 and 79 marks. If the highest scorer is ranked first, who is ranked third?
Answer: Candidate with 79 marks
Order: 91, 85, 79, 72, 68.
21. Seating Logic
P, Q, R, S and T sit in a row. P sits immediately before Q. R sits immediately after Q. S sits at the extreme left. Who occupies the middle position?
Answer: Q
Arrangement: S – P – Q – R – T.
22. Logical Deduction
Every candidate who clears the assessment is invited to the next round. Arjun was not invited to the next round. What can logically be concluded?
Answer: Arjun did not clear the assessment, assuming every successful candidate was invited as stated.
Data Interpretation Questions
Data interpretation is especially useful in recruitment tests because it combines reading with calculation. Consider the following hiring data:
| Month | Applications | Shortlisted | Hired |
|---|---|---|---|
| January | 800 | 160 | 48 |
| February | 1,000 | 220 | 66 |
| March | 1,200 | 276 | 69 |
| April | 1,500 | 330 | 99 |
23. Total Applications
How many applications were received over four months?
Answer: 4,500
800 + 1,000 + 1,200 + 1,500 = 4,500.
24. Shortlisting Rate
What percentage of February applicants were shortlisted?
Answer: 22%
220 ÷ 1,000 × 100 = 22%.
25. Hiring Rate
What percentage of shortlisted candidates were hired in March?
Answer: 25%
69 ÷ 276 × 100 = 25%.
26. Application Growth
What was the percentage increase in applications from January to April?
Answer: 87.5%
Increase = 1,500 − 800 = 700.
700 ÷ 800 × 100 = 87.5%.
27. Total Hires
How many candidates were hired during the four months?
Answer: 282
48 + 66 + 69 + 99 = 282.
28. Hiring Comparison
How many more candidates were hired in April than March?
Answer: 30
99 − 69 = 30.
Verbal Reasoning Questions
Verbal reasoning is less about vocabulary alone and more about understanding exactly what a statement says. Avoid assuming information that is not provided.
29. Synonym
Choose the closest meaning of “Concise.”
A. Lengthy
B. Brief
C. Confusing
D. Detailed
Answer: B. Brief
30. Antonym
Choose the opposite of “Mandatory.”
A. Required
B. Essential
C. Optional
D. Compulsory
Answer: C. Optional
31. Statement and Conclusion
Statement: All employees working remotely must submit a weekly report. Rohan submits a weekly report.
Can we conclude that Rohan works remotely?
Answer: No
Submitting the report does not prove that remote work is the reason for doing so.
32. Statement and Assumption
A company introduces a timed online aptitude test before interviews.
Which assumption is most reasonable?
A. Candidates can access the test online.
B. Every candidate will pass.
C. Interviews are no longer required.
D. The test has no time limit.
Answer: A
33. Reading-Based Reasoning
A company notices that candidates perform poorly when given long instructions. It begins presenting questions in shorter sections.
What is the most likely purpose?
Answer: To make the instructions easier to understand and reduce confusion.
34. Analogy
Question : Answer :: Problem : ?
A. Delay
B. Solution
C. Candidate
D. Interview
Answer: B. Solution
Probability and Permutation Questions
These questions require careful counting. Write down the possible outcomes when necessary rather than relying on guesswork.
35. Probability
A bag contains 5 red, 3 blue and 2 green balls. What is the probability of selecting a green ball?
Answer: 1/5
Total balls = 10.
Green balls = 2.
2/10 = 1/5.
36. Probability Without Replacement
A box contains 5 red and 5 blue balls. Two balls are selected without replacement. What is the probability that both are red?
Answer: 2/9
5/10 × 4/9 = 2/9.
37. Dice Probability
Two dice are rolled. What is the probability that their total is greater than 9?
Answer: 1/6
Favourable combinations are 10, 11 and 12: 3 + 2 + 1 = 6 outcomes.
6/36 = 1/6.
38. Arrangement
How many different arrangements can be made using all five letters of TRAIN?
Answer: 120
5! = 120.
39. Selection
A company has 8 shortlisted candidates and needs to select 3 for the final interview. How many combinations are possible?
Answer: 56
8C3 = 8 × 7 × 6 ÷ 3 × 2 × 1 = 56.
40. Probability
A fair coin is tossed three times. What is the probability of getting exactly two heads?
Answer: 3/8
Possible favourable outcomes: HHT, HTH and THH.
3 favourable outcomes out of 8 = 3/8.
Interview-Based Aptitude Questions
In a live interview, the interviewer may care about your reasoning process, assumptions and ability to communicate the answer. These are particularly useful interview questions for aptitude test practice.
41. Revenue Calculation
A business has 2,000 customers paying an average of ₹500 per month. What is its monthly revenue?
Answer: ₹10 lakh
2,000 × ₹500 = ₹10,00,000.
42. Productivity
A team completes 240 tasks in 8 working days with 6 employees. At the same rate, how many tasks can 9 employees complete in 10 days?
Answer: 450 tasks
Per employee per day = 240 ÷ (6 × 8) = 5 tasks.
9 × 10 × 5 = 450 tasks.
43. Business Estimation
A company has 300 employees. Approximately 80% work from the office on a particular day. If each spends around ₹120 on lunch, estimate the day’s lunch spending.
Answer: ₹28,800
Employees present = 300 × 80% = 240.
240 × ₹120 = ₹28,800.
44. Scheduling Problem
You have three tasks requiring 45, 30 and 60 minutes. A meeting begins in two hours. Can all three tasks be completed beforehand?
Answer: No
Total work = 45 + 30 + 60 = 135 minutes.
Available time = 120 minutes.
You are short by 15 minutes.
45. Successive Growth
A company’s customer base is 20,000. It grows by 15% in one year and 10% the next year. What is the customer base after two years?
Answer: 25,300
20,000 × 1.15 = 23,000.
23,000 × 1.10 = 25,300.
46. Interview Estimation
A recruiter expects to interview 48 candidates over 6 hours. Assuming equal interview times and no breaks, how many minutes can be allocated to each candidate?
Answer: 7.5 minutes
6 hours = 360 minutes.
360 ÷ 48 = 7.5 minutes per candidate.
Placement-Focused Aptitude Questions
Placement assessments often combine speed with accuracy. The following aptitude questions and answers for placement practice use common workplace and recruitment scenarios.
47. Work Allocation
Four employees can process 320 applications in 5 hours. At the same rate, how many applications can six employees process in 4 hours?
Answer: 384 applications
Four employees working five hours provide 20 employee-hours.
320 ÷ 20 = 16 applications per employee-hour.
6 × 4 × 16 = 384.
48. Percentage Comparison
Candidate A scores 84 out of 120, while Candidate B scores 72 out of 90. Who has the higher percentage?
Answer: Candidate B
A = 84 ÷ 120 × 100 = 70%.
B = 72 ÷ 90 × 100 = 80%.
49. Inventory Problem
A warehouse has 2,400 units. It ships 35% of them in the first week and 25% of the remaining stock in the second week. How many units remain?
Answer: 1,170 units
First shipment = 35% of 2,400 = 840.
Remaining = 1,560.
Second shipment = 25% of 1,560 = 390.
Remaining = 1,170 units.
50. Decision-Making Problem
You have 20 minutes left in an aptitude test. One difficult question is taking five minutes and you are unsure of the method. There are four easier unanswered questions worth the same marks. What is the better strategy?
Answer: Move to the easier questions first.
If all questions carry equal marks, spending most of the remaining time on one uncertain problem can reduce the number of questions you attempt. Return to the difficult question if time remains.
Wrapping Up
Preparing for an aptitude test becomes much easier when you practise different question types instead of relying on memorised formulas. Work regularly on percentages, ratios, averages, logical reasoning, data interpretation and probability, while also practising questions that require you to explain your approach.
Use these aptitude test questions for interview preparation as timed practice. First focus on accuracy, then work on improving your speed. For placement tests and recruitment assessments, knowing when to skip a time-consuming question can be just as important as knowing how to solve it. With consistent practice, you can approach aptitude rounds with greater confidence and a clearer strategy.
