Complete Guide to ibps po prelims arithmetic questions pdf 2026

The IBPS PO Prelims arithmetic questions PDF provides topic-wise practice sets covering Profit & Loss, Simple & Compound Interest, Time & Work, Percentage, Ratio, and Mensuration. It features 200+ exam-pattern solved questions with detailed shortcut methods designed to boost accuracy and speed for the 2026 Quantitative Aptitude paper.

What is the Exam?

The Institute of Banking Personnel Selection (IBPS) Probationary Officer (PO) examination is one of India's most sought-after competitive recruitment tests in the public sector banking domain. Conducted annually across the nation, this multi-tier selection process recruits Probationary Officers / Management Trainees for 11 participating public sector banks, including Punjab National Bank, Bank of Baroda, and Canara Bank.

The examination tests candidates across three progressive stages:

1. Preliminary Examination (Objective Test)
2. Main Examination (Objective + Descriptive Test)
3. Psychometric Test & Personal Interview

The IBPS PO Prelims acts as a rigorous screening layer designed to eliminate non-serious candidates. Within the Preliminary stage, the Quantitative Aptitude section carries 35 questions out of the total 100 marks. Arithmetic forms the bedrock of this section, directly accounting for 10 to 15 standalone questions while implicitly forming the foundation for Data Interpretation (DI) sets. Practicing a curated ibps po prelims arithmetic questions pdf helps aspirants build the conceptual clarity and calculation speed needed to crack the sectional time limit of 20 minutes.

At ExamBhai, we have analyzed over a decade of banking exam trends to bring you a comprehensive guide on arithmetic preparation, syllabus breakdowns, historical cut-off dynamics, and actionable strategy frameworks.

Key Highlights 2026

Understanding the operational structure of the examination helps aspirants plan their preparation timelines effectively. The primary parameters for the IBPS PO 2026 recruitment drive are summarized below:

Parameter	Details
Exam Name	IBPS PO / MT Recruitment Examination 2026
Conducting Body	Institute of Banking Personnel Selection (IBPS)
Exam Level	National Level
Mode of Application	Online
Mode of Examination	Computer-Based Test (CBT - Online)
Preliminary Exam Duration	60 Minutes (20 Minutes Sectional Timing)
Total Prelims Marks	100 Marks (35 Marks for Quantitative Aptitude)
Negative Marking	0.25 marks deducted per wrong answer
Official Website	ibps.in

Syllabus 2026

The Quantitative Aptitude section for the IBPS PO Prelims demands high numerical agility and conceptual clarity. Arithmetic topic weightages dictate how you should distribute your daily practice hours.

Quantitative Aptitude Syllabus & Weightage Analysis

Topic Category	Core Concepts Covered	Expected Questions (Prelims)
Core Arithmetic - Group 1	Percentage, Ratio & Proportion, Averages, Ages	3 - 5 Questions
Core Arithmetic - Group 2	Profit & Loss, Simple & Compound Interest, Discount	3 - 4 Questions
Core Arithmetic - Group 3	Time & Work, Pipes & Cisterns, Work & Wages	2 - 3 Questions
Core Arithmetic - Group 4	Speed, Distance & Time, Boats & Streams, Trains	2 - 3 Questions
Core Arithmetic - Group 5	Mixtures & Alligation, Partnerhip, Mensuration 2D/3D	2 - 3 Questions
Data Interpretation	Bar Chart, Pie Chart, Line Graph, Tabular, Caselet	10 - 15 Questions
Speed Maths	Simplification, Approximation, Number Series, Quadratic Equations	10 - 15 Questions

Mathematical Foundations of Key Arithmetic Topics

1. Percentage & Ratio Mechanics Every arithmetic problem hinges on ratios or base values. For instance, converting fraction values to percentages rapidly saves valuable seconds: [\frac{1}{6} = 16.67%, \quad \frac{1}{7} = 14.28%, \quad \frac{1}{8} = 12.5%, \quad \frac{1}{9} = 11.11%]

2. Profit and Loss Shortcuts When two items are sold at the same selling price (S), one at a profit of (x%) and the other at a loss of (x%), the net transaction always results in an overall loss percentage: [\text{Loss } % = \bigl(\frac{x}{10}\bigr)^2%]

3. Simple & Compound Interest Dynamics The difference between Compound Interest (CI) and Simple Interest (SI) for a period of two years at interest rate (r%) per annum on a principal amount (P) is calculated using: [\text{Difference (2 Years)} = P \cdot \bigl(\frac{r}{100}\bigr)^2] For three years, the formula evolves to: [\text{Difference (3 Years)} = P \cdot \bigl(\frac{r}{100}\bigr)^2 \cdot \bigl(\frac{300 + r}{100}\bigr)]

4. Time, Speed, and Distance Equations For problems involving relative velocity where two trains of lengths (L_1) and (L_2) move in opposite directions at speeds (v_1) and (v_2): [\text{Time to Cross} = \frac{L_1 + L_2}{v_1 + v_2}] If moving in the same direction, the relative speed becomes (v_1 - v_2).

Exam Pattern

The IBPS PO Preliminary Examination uses a sectional timing model. Candidates cannot switch between sections during the test; each section receives exactly 20 minutes.

Section Name	Medium of Exam	Number of Questions	Maximum Marks	Sectional Duration
English Language	English	30	30	20 Minutes
Quantitative Aptitude	English & Hindi	35	35	20 Minutes
Reasoning Ability	English & Hindi	35	35	20 Minutes
Total		100	100	60 Minutes

Key Rules of the Exam Pattern:

• Sectional Timing: You must work within the active section for 20 minutes. Once time expires, the system automatically transitions to the next section.
• Negative Marking: Every incorrect objective answer incurs a penalty of 0.25 marks (one-fourth of the mark assigned to that question).
• Sectional & Overall Cut-offs: Aspirants must clear both the individual sectional cut-offs and the overall aggregate threshold to qualify for the IBPS PO Main examination.
• Attempt Strategy: You can practice free mock tests for Banking on ExamBhai to adapt to the 20-minute sectional pressure and master real-time question selection.

Eligibility Criteria

Note: Official data for eligibility criteria, educational prerequisites, and age limits are sourced directly from the government recruitment notifications published on the official portal at ibps.in.

Before applying for IBPS PO 2026, candidates must ensure they fulfill the prescribed criteria regarding nationality, age, and educational qualification.

1. Nationality / Citizenship

A candidate must be either:

• A Citizen of India, or
• A subject of Nepal, or
• A subject of Bhutan, or
• A Tibetan refugee who came over to India before January 1, 1962, with the intention of permanently settling in India.

2. Age Limit (As per official guidelines)

• Minimum Age: 20 years
• Maximum Age: 30 years

Upper age relaxation is provided to reserved categories as per Central Government norms:

Category	Upper Age Relaxation
Scheduled Caste / Scheduled Tribe (SC/ST)	5 Years
Other Backward Classes (OBC - Non-Creamy Layer)	3 Years
Persons Benchmark Disabilities (PwBD)	10 Years
Ex-Servicemen / Commissioned Officers	5 Years
Persons affected by 1984 Riots	5 Years

3. Educational Qualification

• Degree Requirement: A Graduation Degree (Bachelor's) in any discipline from a University recognized by the Government of India or an equivalent qualification recognized as such by the Central Government.
• Computer Literacy: Operating and working knowledge in computer systems is mandatory (candidates should hold a Certificate/Diploma/Degree in computer operations/Language or have studied Computer/IT as one of the subjects in High School/College/Institute).
• Documentary Proof: Candidates must possess a valid Mark-sheet / Degree Certificate stating that they are a graduate on the day they register online.

Application Process

Applying for the IBPS PO exam requires a structured step-by-step approach. Follow these instructions carefully to submit an error-free application:

1. Online Registration: Visit the official portal (ibps.in) and click on "CRP PO/MT". Click on "New Registration" and enter basic details such as full name, contact number, and email ID to generate a Registration Number and Password.
2. Document Upload: Upload scanned copies of your photograph, signature, left thumb impression, and a handwritten declaration as per the specified dimensions and file sizes.
3. Filling Application Details: Complete the personal, educational, and bank preference details in the form. Double-check all information before clicking on final submit.
4. Application Fee Payment: Pay the non-refundable registration fee online using Debit/Credit cards, Net Banking, or UPI.

Category	Application Fee
SC / ST / PwBD	₹175 (Intimation charges only)
General / OBC / EWS	₹850 (Application fee + Intimation charges)

5. Print Acknowledgement: Save and print the final submitted application form and fee receipt for future reference.

Preparation Strategy

Cracking arithmetic in the IBPS PO Prelims requires balancing calculation speed with accuracy. Out of 35 questions in Quantitative Aptitude, securing 25+ marks demands a disciplined plan.

Phase 1: Conceptual Mastery (Weeks 1 to 4)

• Ditch Formulaic Rote Learning: Understand the fundamental logic behind ratios, base percentage changes, and balance equations rather than memorizing isolated formulas.
• Master Mental Speed Mathematics: Memorize tables up to 30, squares up to 50, cubes up to 20, and fractional values of percentages up to (\frac{1}{20}).
• Topic-Wise Practice: Download the compiled ibps po prelims arithmetic questions pdf to solve at least 50 to 80 problems per topic (Profit & Loss, Time & Work, TSD).

Phase 2: Sectional Speed Building (Weeks 5 to 7)

• Apply Sectional Timers: Practice arithmetic sets in short 10-minute bursts. Try solving 8 arithmetic questions in 6 minutes.
• Master Question Selection: Never get stuck on a single arithmetic problem for more than 45 seconds. If a question involves complex 3-digit multiplication or multi-variable equations, skip it initially and mark it for review.
• Integrate Data Interpretation: Arithmetic concepts directly power 50% of Prelims Data Interpretation sets (Caselets, Arithmetic-based DI). Master arithmetic to solve DI faster.
• You can take live full-length IBPS PO test series on ExamBhai to evaluate your speed against thousands of active test-takers across India.

Phase 3: Simulated Exam Readiness (Weeks 8 to 10)

• Full-Length Mock Tests: Attempt 15 to 20 full-length Prelims mocks during the final month.
• Error Analysis: Analyze every incorrect question and unattempted arithmetic problem. Maintain an error journal to track recurring mistakes in topics like Mixtures or Mensuration.
• Benchmarking: Use online platforms to access daily arithmetic quizzes for IBPS PO on ExamBhai to maintain steady problem-solving momentum right up to exam day.

Cut-Off Trends

Note: Historical cut-off figures are referenced from published official statistics available on the official recruitment repository at ibps.in.

Analyzing historical cut-off scores helps you set realistic targets for the 2026 examination. Cut-offs vary every year depending on overall exam difficulty, total vacancies, and candidate performance volume.

Historical IBPS PO Prelims Overall Cut-Offs (General Category)

Recruitment Year	Vacancies (Approx.)	Prelims Cut-Off (Out of 100)	Difficulty Level
2025	4,455	54.25	Moderate
2024	3,049	52.50	Moderate to Difficult
2023	5,314	54.25	Moderate
2022	9,644	49.75	Moderate to Difficult
2021	5,808	50.50	Moderate
2020	4,783	58.75	Easy to Moderate

Category-Wise IBPS PO Prelims Cut-Off Trends (Recent Year Reference)

Category	2024 Cut-Off	2025 Cut-Off
General	52.50	54.25
EWS	52.50	54.25
OBC	52.50	54.25
SC	46.75	48.50
ST	40.25	42.00
HI (Hearing Impaired)	22.50	24.00
OC (Orthopedically Challenged)	41.25	43.50
VI (Visual Impairment)	37.00	38.75
ID (Intellectual Disability)	20.00	21.50

Sectional Cut-Off Range (Quantitative Aptitude)

• General / EWS: 7.00 to 9.25 Marks
• SC / ST / OBC / PwBD: 4.00 to 6.50 Marks

While clearing the sectional cut-off is mandatory, aim for 18 to 22+ marks in Quantitative Aptitude alone to secure a high overall score and cross the aggregate qualification threshold easily.

Frequently Asked Questions

Q1: Is arithmetic compulsory to clear the IBPS PO Prelims Quantitative Aptitude section?

While speed maths (Simplification, Quadratic Equations, Number Series) can give you 10 to 15 quick marks, arithmetic accounts for 10 to 15 standalone questions and underpins Data Interpretation sets. Attempting arithmetic is essential to score above 20+ marks and clear the overall cut-off comfortably.

Q2: How can I download the ibps po prelims arithmetic questions pdf for offline practice?

You can download topic-wise arithmetic question PDFs with step-by-step solutions directly from the ExamBhai resource center. These PDFs feature modern exam-pattern questions across Profit & Loss, Time & Distance, Ratios, and Compound Interest.

Q3: Is there sectional timing in the IBPS PO Prelims examination?

Yes. The IBPS PO Prelims exam has a strict sectional time limit of 20 minutes for each of the three sections (English Language, Quantitative Aptitude, and Reasoning Ability). You cannot switch between sections during these allotted 20 minutes.

Q4: How many arithmetic questions should I aim to attempt in 20 minutes?

Out of the 35 Quantitative Aptitude questions, aim to attempt 22 to 28 questions in total with 90%+ accuracy. Within arithmetic, targeting 6 to 8 well-selected questions after completing high-yield speed maths and DI sets is a reliable approach.

Q5: What is the penalty for wrong answers in the IBPS PO Prelims exam?

There is a negative marking of 0.25 marks (one-fourth of the total mark assigned to that question) for every wrong answer. Unattempted questions incur no penalty.

Q6: Can final-year graduation students apply for IBPS PO 2026?

Candidates must possess a valid graduation degree mark-sheet or passing certificate on or before the online application registration deadline. If your final result is officially declared on or before the cutoff registration date specified in the official notification, you are eligible to apply.