The UPSC EPFO Math, Statistics & Mental Ability Quiz 2026 is a useful practice resource for candidates preparing for the UPSC EPFO APFC Recruitment Test. The quiz includes exam-oriented questions from elementary mathematics, statistics and general mental ability. Regular practice can help candidates improve calculation speed, logical thinking, accuracy and question-solving skills.
Download UPSC EPFO Math, Statistics & Mental Ability Quiz
Candidates can use the UPSC EPFO Math, Statistics & Mental Ability Quiz PDF as a quick practice and revision resource. The PDF includes questions based on important concepts from the Elementary Mathematics, Statistics and Mental Ability sections. Candidates can first attempt the questions without checking the answers and then review the correct answers and explanations. Regular practice can help identify weak areas and improve overall performance.
| Particulars | Link |
| UPSC EPFO Math, Statistics & Mental Ability Quiz PDF | Download Now |
| UPSC EPFO APFC Previous Year Papers | Download Now |
Attempt the UPSC EPFO Math, Statistics & Mental Ability Quiz
Candidates can now attempt the UPSC EPFO Math, Statistics & Mental Ability Quiz 2026 to check their preparation level. The questions are designed around basic calculations, statistical concepts and logical reasoning topics relevant to the APFC Recruitment Test.
1. Evaluate: 48 ÷ 6 × 5 + 7 − 9.
2. What is the value of (3/5 of 250) + (7/10 of 120)?
3. Simplify: 2.5 × 1.2 + 4.8 ÷ 0.6.
4. If x = 4, find the value of 3x² − 5x + 7.
5. Evaluate: (√196 + √81) ÷ √25.
6. The value of 5³ − 3³ + 2⁴ is:
7. Find the HCF of 84, 126 and 210.
8. Find the LCM of 18, 24 and 30.
9. Two numbers have HCF 12 and LCM 420. If one number is 60, the other number is:
10. What is the greatest number that divides 245 and 1029 leaving remainders 5 and 9 respectively?
11. Three bells ring at intervals of 12, 18 and 30 minutes. If they ring together at 9:00 AM, when will they next ring together?
12. A salary is increased by 20% and then decreased by 10%. What is the net percentage change?
13. If 35% of a number is 140, what is 60% of that number?
14. In an examination, a candidate scores 288 marks and falls short of the pass mark by 12 marks. If the pass mark is 40% of the total, the total marks are:
15. A town has a population of 50,000. It grows by 10% in the first year and by 8% in the second year. The population after two years is:
16. The price of an article is reduced from ₹1,250 to ₹1,075. What is the percentage reduction?
17. If A is 25% more than B, then B is what percent less than A?
18. The ratio of men to women in an office is 7:5. If there are 96 employees, how many are women?
19. If A:B = 3:4 and B:C = 5:6, then A:B:C is:
20. A sum of ₹4,680 is divided among P, Q and R in the ratio 2:3:4. What is Q’s share?
21. If 8 workers complete a task in 15 days, how many days will 12 equally efficient workers take, assuming work is inversely proportional to the number of workers?
22. The fourth proportional to 6, 9 and 15 is:
23. In what ratio should rice costing ₹40/kg be mixed with rice costing ₹52/kg so that the mixture costs ₹46/kg?
24. A vessel contains 40 litres of milk. 10 litres are removed and replaced with water. What fraction of the mixture is milk?
25. A 30-litre solution contains acid and water in the ratio 2:3. How many litres of acid must be added to make the ratio 1:1?
26. Tea worth ₹300/kg is mixed with tea worth ₹420/kg in the ratio 3:2. What is the cost per kg of the mixture?
27. An article is bought for ₹800 and sold for ₹920. The profit percentage is:
28. A shopkeeper marks an item 25% above cost price and gives a 10% discount on the marked price. His profit percentage is:
29. A trader sells an article at a 10% loss for ₹1,080. What was its cost price?
30. Two articles are sold for ₹990 each. On one there is a 10% gain and on the other a 10% loss. What is the overall result?
31. A dishonest dealer claims to sell at cost price but uses a 900 g weight for 1 kg. His gain percentage is:
32. Find the simple interest on ₹5,000 at 8% per annum for 3 years.
33. The amount on ₹10,000 at 10% compound interest per annum for 2 years is:
34. The difference between compound interest and simple interest on ₹8,000 at 5% per annum for 2 years is:
35. At what simple interest rate will ₹6,000 amount to ₹7,440 in 4 years?
36. A sum doubles itself in 8 years at simple interest. In how many years will it become three times itself at the same rate?
37. The average of 8 numbers is 24. If one number 18 is replaced by 34, the new average is:
38. The average age of 20 employees is 32 years. If the manager aged 52 years is included, the new average age is:
39. The average of five consecutive odd numbers is 37. The largest number is:
40. A batsman has an average of 48 runs after 25 innings. How many runs must he score in the 26th innings to raise the average to 50?
Quiz Summary
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What type of questions are asked in the UPSC EPFO Math, Statistics & Mental Ability Quiz?
The quiz covers questions from three broad areas Elementary Mathematics, Statistics and General Mental Ability. Mathematics questions focus on calculations and basic arithmetic, while Statistics questions test understanding of concepts such as mean, median, mode, dispersion and sampling. Mental Ability questions cover logical thinking through series, coding, relationships, directions, ranking and other reasoning-based questions. Practising a mix of these questions can help candidates become comfortable with different question types.
| Area | Questions may include |
| Elementary Mathematics | Simplification, percentage, ratio, average, profit and loss, interest, time and work, time and distance |
| Arithmetic | LCM, HCF, mixture and allegation, pipes and cisterns, boats and streams |
| Mensuration | Area, volume and basic 2D and 3D figures |
| Data Interpretation | Tables, charts and basic data-based questions |
| Probability | Basic probability concepts and applications |
| Statistics | Mean, median, mode, standard deviation, dispersion and sampling |
| Mental Ability | Series, coding-decoding, syllogism, analogy and logical relationships |
| Reasoning | Directions, ranking, blood relations, clocks and calendars |
| Visual Reasoning | Dice, Venn diagrams, counting figures, cubes and cuboids |
How should you practise UPSC EPFO Math, Statistics & Mental Ability questions?
Regular question practice is important for improving performance in this section. Candidates should first focus on understanding the basic method used to solve a question and then work on improving speed. Calculation-based questions should be practised regularly, while statistics and mental ability questions should be reviewed carefully after every attempt. Keeping track of repeated mistakes can make revision more focused and effective.
- Practise calculation-based questions regularly
- Revise important mathematical concepts
- Solve statistics questions to understand basic measures
- Practise series, coding and logical reasoning questions
- Attempt questions within a fixed time
- Check the explanation after every attempt
- Maintain a list of frequently made mistakes
- Reattempt questions that were answered incorrectly
Why should you practise UPSC EPFO Math, Statistics & Mental Ability questions regularly?
Regular practice helps candidates become familiar with different question patterns and reduces the time spent understanding basic concepts during the exam. It also helps improve calculation accuracy and logical thinking. Candidates should combine quiz practice with concept revision and previous year question practice. Repeatedly solving questions from different areas can also help build confidence for the Recruitment Test.
- Improves calculation speed
- Builds accuracy through repeated practice
- Strengthens basic mathematical concepts
- Improves logical and analytical thinking
- Helps identify weak topics
- Supports quick revision before the exam
- Improves time management during the test
What is the UPSC EPFO APFC exam date 2026?
The UPSC EPFO APFC Recruitment Test 2026 is scheduled to be conducted on 20 December 2026 in offline pen-and-paper mode. The Recruitment Test carries 300 marks and has a duration of 2 hours, with one-third negative marking for each incorrect answer.
FAQs
The quiz covers elementary mathematics, statistics and general mental ability, including calculation, statistical and reasoning-based questions.
Yes, candidates should practise basic mathematics regularly to improve calculation accuracy and speed.
The quiz includes areas such as series, coding-decoding, directions, ranking, blood relations, analogy, clocks, calendars and visual reasoning.
Practise different reasoning question types regularly and focus on understanding the logic used to reach the answer.
Yes, candidates can use the quiz and PDF to revise important concepts and practise questions before the examination.
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