Are you preparing for top regulatory exams like RBI Grade B, SEBI Grade A, or NABARD Grade A? One of the most challenging sections in these exams is Quantitative Aptitude. To help you master this section, we have compiled Top 50 High Level Quant Questions along with detailed solutions. This will not only improve your accuracy but also build speed and confidence for the actual exam.
Overview of Quantitative Aptitude in Regulatory Exams
Quantitative Aptitude plays a key role in clearing the Phase 1 of regulatory exams. Whether it’s RBI Grade B or SEBI Grade A, the Quant section tests your analytical thinking, problem-solving ability, and speed. Questions are often high in difficulty and cover diverse topics like Arithmetic, Data Interpretation, Algebra, and more.
Most Important Quant Topics for Regulatory Exams
Understanding which topics carry the most weight in Quantitative Aptitude will help you plan your preparation strategically.
- Data Interpretation (Tables, Line Graphs, Pie Charts)
- Arithmetic (Percentages, Profit & Loss, Ratio & Proportion)
- Number Series
- Simplification & Approximation
- Quadratic Equations
- Time & Work, Time-Speed-Distance
- Mensuration
- Permutation & Combination
- Probability
Tips to Solve Quant Questions
Cracking high-level quant questions requires not just knowledge but the right approach. Here are some expert tips to help you solve them faster and more accurately.
- Use smart approximation techniques where exact values are not needed.
- Practice Vedic Math tricks to speed up calculations.
- Understand the concepts behind formulas, not just rote learn.
- Work on mock tests regularly to build time management.
- Analyze your mistakes after each mock to avoid them in the exam.
Top 50 High Level Quant Questions for Regulatory Exams
Here are the handpicked 50 high-level questions covering the most important topics. Each question is followed by a detailed solution to help you understand the concept and method used.
Number Series (1–10)
1. If the sum of two numbers is 50 and one is twice the other, find the numbers.
Solution: Let the numbers be x and 2x.
x + 2x = 50 → 3x = 50 → x = 50/3 ≈ 16.67, other number = 33.33
2. Simplify: (25)^0.5 × (16)^0.5
Solution: √25 × √16 = 5 × 4 = 20
3. If 5x – 3 = 2x + 12, find x.
Solution: 5x – 2x = 12 + 3 → 3x = 15 → x = 5
4. A number increased by 20% becomes 120. Find the number.
Solution: Let number be x.
x + 20% of x = 120 → 1.2x = 120 → x = 100
5. Find the compound interest on Rs. 5000 at 10% per annum for 2 years.
Solution: CI = P(1 + r/100)^t – P = 5000(1.1)^2 – 5000 = 5000(1.21) – 5000 = 6050 – 5000 = Rs. 1050
6. Find the HCF of 24 and 36.
Solution: Factors of 24: 1,2,3,4,6,8,12,24
Factors of 36: 1,2,3,4,6,9,12,18,36
HCF = 12
7. The ratio of ages of A and B is 3:4. If sum is 56, find their ages.
Solution: Let ages be 3x and 4x
3x + 4x = 56 → 7x = 56 → x = 8
A = 24, B = 32
8. Find the value of x if 3(x + 2) = 2(x + 5).
Solution: 3x + 6 = 2x + 10 → 3x – 2x = 10 – 6 → x = 4
9. The price of an article is increased by 15%. What is the new price if the original is Rs. 200?
Solution: New price = 200 + 15% of 200 = 200 + 30 = Rs. 230
10. Find the simple interest on Rs. 4000 at 5% per annum for 3 years.
Solution: SI = P × R × T / 100 = 4000 × 5 × 3 / 100 = Rs. 600
Arithmetic (11–20)
11. The perimeter of a rectangle is 60 m. If length is twice the breadth, find length and breadth.
Solution: 2(l + b) = 60 → l + b = 30
l = 2b → 2b + b = 30 → 3b = 30 → b = 10, l = 20
12. Find the area of a triangle with base 10 m and height 8 m.
Solution: Area = 1/2 × base × height = 1/2 × 10 × 8 = 40 m²
13. A shopkeeper sells an article at Rs. 540 with a profit of 20%. Find cost price.
Solution: CP = SP / (1 + Profit%) = 540 / 1.2 = Rs. 450
14. Find the median of the data: 5, 8, 12, 15, 20
Solution: Median is the middle value = 12
15. If 40% of students are girls and total students are 200, find the number of boys.
Solution: Number of girls = 40% of 200 = 80
Number of boys = 200 – 80 = 120
16. Find the value of x if (x + 3)(x – 2) = 0.
Solution: x + 3 = 0 → x = –3
or x – 2 = 0 → x = 2
17. The sum of first 10 natural numbers is?
Solution: n(n+1)/2 = 10 × 11 / 2 = 55
18. If 3/5 of a number is 24, find the number.
Solution: (3/5) × x = 24 → x = (24 × 5)/3 = 40
19. Find the next number in the series: 2, 6, 12, 20, ?
Solution: Differences: 4, 6, 8 → next difference = 10
Next number = 20 + 10 = 30
20. Find the simple interest on Rs. 5000 at 8% per annum for 4 years.
Solution: SI = 5000 × 8 × 4 / 100 = Rs. 1600
Algebra (21–30)
21. A bag contains 5 red and 7 blue balls. What is the probability of picking a red ball?
Solution: Total balls = 12
Probability = 5/12
22. Find the number of ways to arrange the letters in the word ‘LEVEL’.
Solution: Letters L, E, V, E, L → total 5 letters, L and E repeat twice
Number of arrangements = 5! / (2! × 2!) = 120 / 4 = 30
23. Find the value of x if 2x + 3 = 15.
Solution: 2x = 12 → x = 6
24. Find the ratio of 0.25 to 0.5.
Solution: 0.25 / 0.5 = 1/2
25. A number is increased by 25% and then decreased by 20%. Find net change.
Solution: Net multiplier = 1.25 × 0.8 = 1
No net change (0%)
26. Find the area of a circle with radius 7 cm. (Use π = 22/7)
Solution: Area = πr² = (22/7) × 7 × 7 = 154 cm²
27. Find the volume of a cube with side 4 cm.
Solution: Volume = side³ = 4³ = 64 cm³
28. A train 200 m long crosses a platform 300 m long in 25 seconds. Find speed.
Solution: Distance = 200 + 300 = 500 m
Speed = 500 / 25 = 20 m/s = 20 × 18/5 = 72 km/h
29. If a man can do a piece of work in 12 days, how much work will he do in 8 days?
Solution: Work done = 8/12 = 2/3 of total work
30. Find the LCM of 12 and 18.
Solution: Prime factors: 12 = 2² × 3, 18 = 2 × 3²
LCM = 2² × 3² = 36
Time, Speed, Work (31–40)
31. A man walks 12 km in 3 hours. What is his speed?
Solution: Speed = 12 / 3 = 4 km/h
32. A train covers 360 km in 4 hours. Find speed.
Solution: Speed = 360 / 4 = 90 km/h
33. A person walks at 5 km/h. How long to cover 25 km?
Solution: Time = 25 / 5 = 5 hours
34. Two pipes fill a tank in 10 and 15 hours. Time to fill together?
Solution: 1/10 + 1/15 = 1/6
Time = 6 hours
35. Train 120 m crosses pole in 12 seconds. Find speed in km/h.
Solution: Speed = 120/12 = 10 m/s = 36 km/h
36. 4 men build a wall in 5 days. How many men for 2 days?
Solution: 4 × 5 = x × 2 → x = 10 men
37. Clock is 5 minutes fast. How much gain in 24 hours?
Solution: Gains 5 mins every 12 hours → 10 mins in 24 hours
38. Boat downstream 18 km/h, upstream 12 km/h. Find stream speed.
Solution: (18 – 12)/2 = 3 km/h
39. Two trains cross in 20 seconds, speeds 36 & 54 km/h. Length each?
Solution: Relative speed = 90 km/h = 25 m/s
Length = 25 × 20 = 500 m total, each = 250 m
40. Travels 60 km at 20 km/h & 40 km at 10 km/h. Find average speed.
Solution: Total time = 3 + 4 = 7 hours
Average speed = 100 / 7 ≈ 14.29 km/h
Data Interpretation (41–45)
41. Find the value of x if (x – 3)^2 = 16.
Solution: x – 3 = ±4 → x = 7 or –1
42. A box contains 3 red, 5 green, 2 blue balls. Probability of green?
Solution: Total = 10, Probability = 5/10 = 1/2
43. The cost price of 20 articles is Rs. 5000. Find CP per article.
Solution: 5000 / 20 = Rs. 250
44. Find the missing number: 2, 4, 8, 16, ?, 64
Solution: Pattern multiply by 2 → Missing = 32
45. Find the area of a square whose perimeter is 36 cm.
Solution: Side = 36/4 = 9 cm
Area = 9² = 81 cm²
Probability and Permutation/Combination (46–50)
46. If the radius of a circle is doubled, by what factor does the area increase?
Solution: Area ∝ r² → increase factor = 2² = 4
47. Two numbers are in ratio 5:7, their difference is 24. Find numbers.
Solution: 7x – 5x = 24 → 2x = 24 → x = 12
Numbers = 60, 84
48. If the cost price is Rs. 800 and loss is 25%, find selling price.
Solution: SP = 800 × 0.75 = Rs. 600
49. Find the speed if a car travels 180 km in 3 hours.
Solution: Speed = 180 / 3 = 60 km/h
50. If the angles of a triangle are in ratio 2:3:4, find them.
Solution: Sum = 180 → 2x + 3x + 4x = 180 → 9x = 180 → x = 20
Angles = 40°, 60°, 80°
Common Mistakes to Avoid in Quant Section
Avoiding typical errors can boost your accuracy and save valuable time during exams. Here are the common mistakes to watch out for in the quant section.
- Ignoring approximation and trying to solve everything exactly.
- Spending too much time on one question.
- Over-attempting with low accuracy.
- Not revising important formulas.
- Avoiding tough topics like Probability or PnC.
Free Quant Preparation Resources for Regulatory Exams
To help you prepare effectively without spending anything, here are some top free resources for mastering quant concepts in regulatory exams.
- Oliveboard Quant Mock Tests (CBT format)
- Free PDFs on DI & Arithmetic
- YouTube sessions by toppers
- RBI/SEBI/NABARD Previous Year Papers
