
Complete analysis of IBPS Clerk Quantitative Aptitude 2026 paper is given here by Sumit sir (Banking Wallah). Success in the IBPS Clerk Quantitative Aptitude section hinges on a structured approach rather than endless new strategies.
Know the foundational learning process, including the exam pattern, and critical problem-solving techniques for key topics like Data Interpretation, Number Series, Simplification, and various Arithmetic problems.
The faculty emphasizes that success in quantitative aptitude stems from the disciplined execution of a fundamental process, not a search for novel strategies.
The core strategy for mastering any quantitative subject involves three crucial steps:
Syllabus Completion: Systematically learn all the concepts and topics prescribed in the syllabus.
Revision & Practice: Consistently revise learned material and practice a wide variety of problems to build speed and accuracy.
Mock Tests: Regularly take mock tests under exam conditions to assess performance, identify weak areas, and improve time management.
Faculty Emphasis: Continuously seeking new "strategies" without implementing this core process is a waste of time. A student who follows this simple, consistent plan will see guaranteed improvement.
The quantitative aptitude section in the IBPS Clerk exam has a predictable structure, with a strong emphasis on speed.
|
IBPS Clerk Quant Exam Pattern |
||
|---|---|---|
|
Section |
Expected No. of Questions |
Key Topics & Remarks |
|
Speed Maths |
10 - 15 Questions |
Primarily, Simplification and Number Series. Can go up to 17-18 questions. Quadratic Equations are less common in clerical prelims. |
|
Data Interpretation (DI) |
10 Questions (2 Sets) |
Typically, two DI sets are expected. One set if Speed Maths is longer. |
|
Caslet DI |
3 - 5 Questions |
A caslet DI is a standard component in virtually all banking exams. |
|
Arithmetic |
10 - 12 Questions |
Covers miscellaneous word problems from various topics. |
The key difference between a Clerical and a PO (Probationary Officer) exam is the complexity level; clerical exams require less complex problem framing.
This section uses a bar graph showing the percentage distribution of total tables sold across five months.
Dataset Overview:
Total Tables Sold (All Months): 42,000
Table Types: Wooden and Plastic (specific breakdown derived from questions).
Initial Data Extraction & Calculation:
The first step is to calculate the absolute number of tables sold each month from the given percentages.
|
Month |
Percentage |
Total Tables |
|---|---|---|
|
April |
25% |
10,500 |
|
May |
10% |
4,200 |
|
June |
30% |
12,600 |
|
July |
20% |
8,400 |
|
August |
15% |
6,300 |
1. Multi-Month Average:
Problem: Average tables sold in June, July, August, September is 7,600. Wooden tables in September are 6.67% more than Plastic. Find Wooden tables in September.
Solution Path: Calculate total for 4 months, subtract known 3 months to find September's total. Convert 6.67% to 1/15, establishing a ratio of 16:15 for Wooden:Plastic, then divide September's total. (Answer: 1,600)
2. Simple Ratio:
Problem: Ratio of total tables sold in April & May together to June & July together.
Solution Path: Sum percentages directly (April + May = 35%, June + July = 50%). The ratio of percentages is the required ratio. (Answer: 7 : 10)
3. Careful Language Interpretation:
Problem: In May, Wooden tables are 13/8 of Plastic. In August, Plastic tables are two times more than Plastic in May. Find the average of Wooden tables in August and total tables in April.
Solution Path: Calculate Plastic tables in May. Understand "two times more than X" means 3X for August's Plastic tables. Find August's Wooden tables. Calculate the average. (Answer: 6,000)
4. Simultaneous Equations:
Problem: Ratio of wooden tables in June to July is 7:3. Plastic tables in June are 16.66% more than in July. Find the difference between wooden tables in June and July.
Solution Path: Set up variables for Wooden and Plastic tables for June and July using given ratios and percentages (16.66% = 1/6 implies a 7:6 ratio for Plastic tables). Form two equations based on total sales for June and July, solve simultaneously, then find the difference. (Answer: 3,200)
This problem requires creating a table by carefully interpreting and connecting multiple data points to deduce unknown values.
The question is based on Rehab Patient Center:
Four rehab centers: K, L, M, N.
Two types of patients: Smokers and Drinkers.
Data Derivation and Logic (Key Steps):
Center L: Drinkers (40) is 4/9 of total L. Calculate Total L, then Smokers L.
Center N: Smokers (50). Drinkers N are 40% more than Smokers N. Calculate Drinkers N, then Total N.
Smokers K & L: This sum is 8.33% (1/12) more than Total N. Use Smokers L to find Smokers K.
Center K: Smokers K is 14.28% (1/7) more than Drinkers K, implying an 8:7 ratio. Use Smokers K to find Drinkers K, then Total K.
Center M: Total M is 170. Average Smokers (M & N) equals Drinkers N (70). Use this to find Smokers M, then Drinkers M.
Final Data Table:
|
Center |
Smokers |
Drinkers |
Total Patients |
|---|---|---|---|
|
K |
80 |
70 |
150 |
|
L |
50 |
40 |
90 |
|
M |
90 |
80 |
170 |
|
N |
50 |
70 |
120 |
Identifying patterns quickly is crucial for these questions.
Series: 24, 22, 25, 20, 27, ?
Pattern: Alternating subtraction and addition of consecutive prime numbers (2, 3, 5, 7, 11…).
(Answer: 16)
Series: 30, ?, 15, 30, 7.5, 15
Pattern: Alternating ×2 and ÷4. Work backward from 15.
(Answer: 60)
Series: 12, 18, 36, 90, 270, ?
Pattern: Multiplication by a factor that increases by 0.5 (×1.5, ×2, ×2.5, ×3, ×3.5).
(Answer: 945)
Series: 14, 27, 53, 105, 209, ?
Pattern: Consistent ×2 - 1.
(Answer: 417)
Series: 4, 10, 32, ?, 652, 3914
Pattern: ×n + 2, where n increases sequentially (×2+2, ×3+2, ×4+2...).
(Answer: 130)
These questions test calculation speed and adherence to the BODMAS rule.
Problem: (1200 ÷ 16) × 2 × 4 + (180 ÷ 3)
(Answer: 660)
Problem: 20% of 60 + 30% of 90 + 36
(Answer: 75)
Problem: √(120 + 42 + 7)
(Answer: 13)
Problem: (25 - 13) + 18 - 30
(Answer: 0)
Problem: (72 ÷ 24) + 180
(Answer: 183)
Here are different types of arithmetic problems and how to solve them:
1. Time & Work
Problem: A+B finish in 20 days, B+C in 30 days, C+A in 40 days. How long for A alone?
Solution: Use LCM to find total work and efficiencies. Calculate 2(A+B+C) then A+B+C. Find A's efficiency by subtracting B+C's efficiency.
(Answer: 48 days)
2. Mixtures
Problem: Milk: Water in 9:5. Add 10L water, ratio becomes 3:2. Initial milk quantity?
Solution: Equalize milk parts in both ratios (9:5 and 9:6). The difference in water parts (1 part) equals 10L.
(Answer: 90 Liters)
3. Partnership
Problem: Raju: Arun invests 7:9. After 6 months, Jitu joins with 2/3 of Arun's capital. After 1 year, Raju's profit is 5600. Total profit?
Solution: Calculate the effective capital ratio (Capital × Time) for all three partners. Use Raju's profit to find the value of one ratio part, then calculate total profit.
(Answer: 15,200)
4. Simple Interest
Problem: Investment 25,000, SI 5,000 at 10% p.a. Time period?
Solution: Calculate total interest as a percentage of the principal. Divide this by the annual interest rate.
(Answer: 2 years)
5. Profit, Loss & Discount
Problem: Toy sold for 1200 (20% discount), 25% profit. CP increased by 40. New difference between MP and new CP?
Solution: Use SP and profit % to find CP. Use SP and discount % to find MP. Increase CP, then find the new difference. (A useful ratio is CP: MP = (100-D%):(100+P%)).
(Answer: 500)
6. Averages
Problem: Avg age of 20 students is 18. Two students (ages 'a' and 'a+8') join, average increases by 1. Avg. age of the two new students?
Solution: Calculate initial sum of ages. Calculate new total sum of ages (22 students, avg 19). The difference is the sum of the two new students' ages.
(Answer: 29)
7. Boats and Streams
Problem: Stream speed 6 km/h. Boat travels 90 km downstream in 5 hours. Time to cover same distance upstream?
Solution: Find downstream speed. Calculate boat's speed. Calculate upstream speed. Then find time taken for upstream journey.
(Answer: 15 hours)
8. Pipes and Cisterns
Problem: A fills in 12h, B empties in 18h. Open for 10h, then B is also open. How long to fill remaining?
Solution: Use LCM for total work and efficiencies. Calculate work done by A in 10 hours. Find remaining work. Calculate combined efficiency when both are open.
(Answer: 6 hours)
9. Ages
Problem: Sum of Manish's (M) and Pankaj's (P) ages is 32. Half sum of M, P, and S (Suresh) is 25. M is 2 years older than S. Find Pankaj's age.
Solution: Use the given equations (M+P=32, M+P+S=50, M=S+2) to find S, then M, and finally P.
(Answer: 12 years)
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