Free Aptitude and Reasoning PDFs for Bank, SSC & Placement Preparation 2026
Free Aptitude and Reasoning PDFs for Bank, SSC & Placement Preparation
Free aptitude and reasoning PDFs are provided on this page to help students prepare effectively for Bank exams, SSC exams, Railway exams, and placement tests. All practice materials are prepared by Intense Practice Academy and include topic-wise questions with answers. New PDFs are added regularly to support continuous preparation.
📐 Basic Aptitude Formulas for Beginners
These basic aptitude formulas are useful for students preparing for Bank exams, SSC exams, Railway exams, and placement tests. Understanding these formulas will help you solve questions faster and with confidence.
🔢 Number System
- LCM × HCF = Product of two numbers
- Even number: 2n
- Odd number: 2n + 1
- Sum of first n natural numbers: n(n + 1) / 2
- Sum of first n even numbers: n(n + 1)
- Sum of first n odd numbers: n²
📊 Percentages
- Percentage = (Value / Total) × 100
- x% of y = (x × y) / 100
- Increase % = (Increase / Original) × 100
- Decrease % = (Decrease / Original) × 100
💰 Profit and Loss
- Profit = Selling Price − Cost Price
- Loss = Cost Price − Selling Price
- Profit % = (Profit / Cost Price) × 100
- Loss % = (Loss / Cost Price) × 100
- Selling Price (Profit) = Cost Price × (100 + Profit%) / 100
- Selling Price (Loss) = Cost Price × (100 − Loss%) / 100
🏦 Simple Interest
- Simple Interest (SI) = (P × R × T) / 100
- Amount = Principal + SI
📈 Compound Interest
- Amount = P (1 + R/100)n
- Compound Interest = Amount − Principal
⚖️ Ratio and Proportion
- If a : b = c : d, then a × d = b × c
- Duplicate ratio of a : b = a² : b²
- Triplicate ratio of a : b = a³ : b³
👉 Practice questions using these formulas from the free aptitude PDFs available on this page and improve your exam performance.
📘 Free Practice PDFs for Bank | SSC | Railway
Download free Aptitude practice PDFs prepared by Intense Practice Academy. Useful for Bank, SSC & Railway exam preparation.
Number System – Practice PDF
Important concepts and exam-oriented practice questions.
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Practice Hard & Very Hard level Aptitude PDFs designed for Bank, SSC, Railway & Placement exams. These are NOT basic questions – they test real exam thinking.
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❓ Frequently Asked Questions (FAQs)
Q1. Are these PDFs really free to download?
Yes. All the PDFs available on this page are 100% free for students preparing for Bank, SSC, Railway, and placement exams. No payment is required.
Q2. Who can use these free PDFs?
These PDFs are useful for Bank exam aspirants (IBPS, SBI, RRB), SSC aspirants (CGL, CHSL, MTS), Railway exam aspirants (RRB NTPC, Group D), and placement preparation students.
Q3. What topics are covered in these free PDFs?
The PDFs cover important aptitude topics such as Number System, Percentages, Simple Interest, Compound Interest, Profit & Loss, and Ratio & Proportion. More topics will be added regularly.
Q4. Do these PDFs include answers and explanations?
Yes. All PDFs are prepared by Intense Practice Academy and include answers with clear, beginner-friendly explanations to help you understand concepts easily.
Q5. Can I practice online instead of downloading PDFs?
Yes. You can practice online using our Bank & SSC Online Mock Tests (login required) and also access free topic-wise questions on our website.
Q6. Are these PDFs updated as per the latest exam pattern?
Yes. The questions are designed based on the latest Bank, SSC, and Railway exam patterns and are regularly reviewed by our academic team.
Q7. Is registration required to download these PDFs?
No registration is required to download the PDFs from this page. However, registering on our site gives you access to online tests, MCQs, and updates.
Q8. Will you add more free PDFs in the future?
Yes. We regularly add new free aptitude and reasoning PDFs. Bookmark this page and check back frequently.