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Aptitude

Seating Arrangement: Best Aptitude Questions With Tips and Tricks

Prepare For Aptitude Test For Placements In 3-Easy Steps!

Table of content:

Step 1: The Groundwork
Step 2: The Three Sections
Step 3: Practice Makes Improvement
The Secret Ingredient

Number Series: Best Selected Reasoning Questions With Answers

Table of content:

Understanding Basics Of Number Series
Types Of Number Series Reasoning Questions
Addition & Multiplication In Number Series
Square & Cube-Based Number Series Patterns
Missing Terms & Arranging Sequences
Tricks & Tips For Solving Number Series
Selected Sample Questions With Detailed Solutions
Conclusion
Frequently Asked Questions (FAQs)

Blood Relation Questions: Get the Best MCQs with Detailed Answers

Table of content:

Terminologies Used in Blood Relation Questions
What is a Family Tree?
Types Of Blood Relation Questions
Verbal Reasoning in Blood Relation
Tips For Solving Blood Relation Questions
Common Pitfalls while Solving Questions
Selected Questions (MCQs) For Practice With Answers
Conclusion
Frequently Asked Questions (FAQs)

Letter & Symbol Series Explained- Top Selected Question & Answer

Table of content:

Letter Series In Logical Reasoning
Types Of Letter Series Patterns
Tips For Solving Letter Series Reasoning
Best Practice Question Samples With Answers
Conclusion
Frequently Asked Questions (FAQs)

Problems on Ages: Selected Quantitative Aptitude MCQs & Solutions

Table of content:

Basics of Problems On Age-Related Questions
Formula to Solve Problems on Ages-Related Questions
Types of Age-Related Questions & Examples
Tips & Tricks for Solving Ages Problems
Best MCQs on Problems on ages with solved answers
Conclusion
Frequently Asked Questions (FAQs)

Calendar Questions: Selected Aptitude Questions & Answers (MCQs)

Table of content:

Definition of Calendar
Understanding Days of the Week
Understanding the Concept of Leap Year
Concept of Odd Days in a Century
Tips For Calendar Reasoning Questions
Top 10 Calendar Questions & Answers For Practice (MCQs)
Conclusion
Frequently Asked Questions (FAQs)

Clock Questions: Basic Concepts & Aptitude Questions (MCQs) Explained

Table of content:

Basic Concepts of Clock
Structure of a Clock
Angle Equilavalence in Clock
Tips For Solving Clock Questions
Selected Clock Questions & Answers (MCQs)
Conclusion
Frequently Asked Questions (FAQs)

Direction Sense: Verbal Reasoning Test Practice Question & Answer

Table of content:

Understanding The Concept Of Direction Sense
Tips For Effective Problem-Solving In Direction Sense
Practical Test Practice Questions And Answers
Conclusion
Frequently Asked Questions (FAQs)

Dice Reasoning: Types & Tricks Explained With Question & Answer

Table of content:

Importance Of Dice Reasoning
Dice Numbers In Dice Reasoning
Classification Of Dice
Constructed Vs Deconstructed Dice
Tricks & Tips For Solving Dice Problems
Practice MCQs With Detailed Answers
Conclusion
Frequently Asked Questions (FAQs)

Alphanumeric Series- Tips, Strategies, Practice Question & Answer

Table of content:

Alphanumeric Series Defined
Alphanumeric Series In Reasoning Tests
Tips & Strategies For Solving Alphanumeric Series
Practice Sample Questions With Detailed Answers
Conclusion
Frequently Asked Questions (FAQs)

Mirror Image Reasoning | Concepts And Tips With Question & Answer

Table of content:

Concept Of Mirror Image Reasoning Explained
Important Terms In Mirror Image Reasoning
Types Of Mirror Images
Identifying Correct Mirror Image
Finding Clock's Mirror Image
Tips To Solve Mirror Images
Selected Practice Questions With Answers
Conclusion
Frequently Asked Questions (FAQs)

Input Output Reasoning: Concept, Strategy, Questions And Answers

Table of content:

Concept & Overview Of Input-Output
Input-Output In Competitive Exams
Types Of Input-Output Problems
Strategies, Tips & Tricks For Solving Reasoning Questions
Selected Practice Questions With Answers
Conclusion
Frequently Asked Questions (FAQs)

Find The Odd One Out- Reasoning Tricks With Questions & Answers

Table of content:

Importance Of Finding The Odd One Out
Tricks And Tips
Strategies For Finding The Odd One Out
Selected Practice Questions & Answers
Conclusion
Frequently Asked Questions (FAQs)

Order And Ranking- Concept, Formula, Practice Question And Answer

Table of content:

Understanding Key Concepts
Exploring Different Ranking Types
Formula And Application Of Order And Ranking
Tips For Solving Order & Ranking
Selected Practice Questions And Answers
Conclusion
Frequently Asked Questions (FAQs)

Pipes And Cisterns MCQs: Concept, Formula, Shortcut Tricks & Tips

Table of content:

Importance Of Pipes & Cistern Aptitude
Key Terminologies used in Pipes and Cisterns
Pipes and Cisterns Formula with Examples
Pipes and Cisterns Shortcut Tricks
Tips For Solving Pipes & Cistern Problems
Selected Questions & Answers For Practice (MCQs)
Conclusion
Frequently Asked Questions (FAQs)

Boats And Streams: Formula, Top Aptitude Questions & Answers (MCQs)

Table of content:

Key Concept in Boats and Streams
Formulas Of Boats & Streams
Distance & Time Formula
Tips For Solving Boats & Streams Questions
Selected Practice Questions With Answers (MCQs)
Conclusion
Frequently Asked Questions (FAQs)

Mixture and Alligation: Basic Concept, Formulas and Solved MCQs

Table of content:

Concept of Mixture and Alligation
Types Of Alligation Questions
Formula for Solving Mixture & Alligation
Tips For Solving Mixture And Alligation
Selected Questions With Answers For Practice
Conclusion
Frequently Asked Questions (FAQs)

Time And Work- Formula & Aptitude Practice Question With Answer

Table of content:

Time & Work Concepts
Time And Work Formulas
Tips For Solving Time And Work Questions
Time And Work Questions With Answers
Conclusion
Frequently Asked Questions (FAQs)

Harmonic Progression (HP): Definition, Formula and Selected MCQs

Table of content:

What is Harmonic Progression(HP)?
Formula to find the nth Term in Harmonic Progression
Formula to find the Sum of the nth Term in HP
What is Harmonic Mean?
Harmonic Progression Solved Best MCQs
Conclusion
Frequently Asked Questions (FAQs)

Mensuration in Maths: Definition, Formulas and Solved Questions

Table of content:

What is Mensuration in Maths?
What are 2D figures in Mensuration?
What are 3D figures in Mensuartion?
Basic Terminologies In Mensuration
Basic 2D Formulas in Mensuration
Basic 3D Formulas in Mensuration
2D vs 3D in Mensuration
Solved Questions With Solutions (MCQs)
Conclusion
Frequently Asked Questions (FAQs)

Time, Speed & Distance: Formulas, Solved Quantitative Aptitude MCQs

Table of content:

Relationship Between Time, Speed And Distance
Conversion Units Time, Speed And Distance
Average & Relative Speed: Two Trains Moving in the same or opposite direction
Solved MCQs on Time, Speed And Distance
Conclusion
Frequently Asked Questions (FAQs)

Simplification- Basic Formulas With Practice Questions & Answers

Table of content:

Basics Of Simplification
BODMAS Rule in Simplification Explained
Simplification & Approximation Relation
Key Terms in Simplification
Examples Of Simplification Techniques
Simplification Questions With Solved Answers
Conclusion
Frequently Asked Questions (FAQs)

Height And Distance- Trigonometry Basics With Question & Answer

Table of content:

Height And Distance Important Terms
Right Angled Triangle In Trigonometry
Trigonometric Ratios
Solved Examples For Better Understanding
Height And Distance Applications In Trigonometry
Height And Distance Practice Questions & Answers
Conclusion
Frequently Asked Questions (FAQs)

Difference Between Simple Interest And Compound Interest (Bonus: Solved QnAs)

Table of content:

Defining Interest Types
Simple Interest Vs. Compound Interest
Selected Solved Questions & Answers
Conclusion
Frequently Asked Questions (FAQs)

Profit And Loss: Basic Concepts, Formulas, Questions & Answers

Table of content:

Basic Concepts Of Profit And Loss
Determining Selling Price
Calculating Discounts
Formulas For Calculating Profit And Loss
Examples Of Profit And Loss
Profit & Loss Questions With Detailed Solution
Conclusion
Frequently Asked Questions (FAQs)

Angle Of Elevation: Definition, Formula, Questions and Answers

Table of content:

Defining Angle Of Elevation
Key Terms Used In Angle Of Elevation
Angle of Elevation Formula with Example
Angle of Elevation vs. Angle of Depression
Angle of Elevation MCQs with Answers
Conclusion
Frequently Asked Questions (FAQs)

HCF And LCM Methods: Formula, Practice Questions And Answers

Table of content:

Defining HCF And LCM
Calculation Methods Of HCF And LCM
HCF By Prime Factorization Method
LCM By Prime Factorization Method
Difference Between HCF And LCM
HCF & LCM Practice Questions With Answers
Conclusion
Frequently Asked Questions (FAQs)

Decimal Fraction: Find Types, Operations & Practice Questions

Table of content:

What is fraction and decimal?
Understanding Decimal Fraction
Place Value in Decimal Fraction
Mathematical Operations with Decimal Fraction
Practice with Solved Examples
Summary
Frequently Asked Questions

Decimal To Fraction Conversion Guide (+ Solved Questions)

Table of content:

All About Decimals
All About Fractions
How to Convert a Decimal into Fraction
Simple vs Recurring Decimals
Converting Recurring Decimals to Fractions
Conversion Charts
Practice Questions (With Solutions)
Closing Thoughts
Frequently Asked Questions

Arithmetic Mean: Definition, Formulas, Solved Questions & Answers

Table of content:

What is Arithmetic Mean?
Arithmetic Mean Formula- Ungroup Data & Group Data
Merits of Arithmetic Mean
Demerits of Arithmetic Mean
Alternatives to Arithmetic Mean
What is the Weighted Arithmetic Mean?
Arithmetic vs. Geometric Mean
Arithmetic Mean Application in Statistical Analysis
Arithmetic Mean Practice Questions with Explanation
Frequently Asked Questions

Geometric Progression (GP): Definition, Formula, Nth Term and Sum

Table of content:

What is Geometric Progression?
Key Properties of Geometric Progression
General Form Of Geometric Progression
General Term or the Nth Term of Geometric Progression
The sum of nth Terms of GP
Types Of Geometric Progression
Solved Questions and Answers of GP
Conclusion
Frequently Asked Questions (FAQs)

Average in Maths: Definition, Symbol, Formula & Solved MCQs

Table of content:

Average in Maths
Average Formula in Maths
Differentiating Types of Average
How to Calculate Average of Negative Numbers?
Practical Applications of Averages
Average Questions For Practice
Frequently Asked Questions

Simple Interest: Definition, Formulas, Solved Questions & Examples

Table of content:

What is Simple Interest in Maths?
Simple Interest Formula Explained
Simple Interest Formula for Years, Months & Days
Simple Interest Examples & Practice Questions
Conclusion
Frequently Asked Questions (FAQs)

Ratio and Proportion: Mastering Fundamentals (+ Solved Questions)

Table of content:

Defining Mathematical Ratios
Understanding Proportions Fundamentals
Differentiating Ratios from Proportions
Ratio and Proportion Formulas
Properties of Ratio and Proportion
How to Solve Ratio and Proportion Problems
Ratio and Proportion Problems (With Solutions)
Summary
Frequently Asked Questions

What Is Number In Maths: History, Types, Operations & More

Table of content:

What is Number in Maths?
Types of Numbers With Example
Real vs Complex Numbers Explored
Basic Operations on Numbers
Practice Questions (With Solutions)
Frequently Asked Questions

Arithmetic Progression: Definition, AP Formula, Nth term and Sum

Table of content:

What is Arithmetic Progression (AP) in Maths?
Important Terminologies in Arithmetic Progression
Basic Terms in Arithmetic Progression
General Form Of Arithmetic Progression Series
Types Of Arithmetic Progression
Solved Questions With Explanation (MCQs)
Conclusion
Frequently Asked Questions (FAQs)

Train Problems: Concept & Selected Practice Question With Answer

Table of content:

Understanding Basic Concept
Importance Of Train Problems In Aptitude
Tips To Solve Train Problems
Selected Practice Questions & Answers
Conclusion
Frequently Asked Questions (FAQs)

What Is Mode- Definition, Formula, Practice Questions & Answers

Table of content:

Definition Of Mode
Calculating Mode For Ungrouped Data
Calculating Mode For Grouped Data
Bimodal, Trimodal & Multimodal Distributions
Comparing Mean, Median & Mode
Selected Practice Questions With Answers
Conclusion
Frequently Asked Questions (FAQs)

Races And Games- Quantitative Aptitude Practice Question & Answer

Table of content:

Important Concept In Races And Games
Calculating Time, Speed & Distance
Importance Of Races And Games Problems
Sample Practice Questions With Answers
Conclusion
Frequently Asked Questions (FAQs)

Partnership Questions- Quantitative Aptitude MCQs With Answers

Table of content:

Types Of Partnership
Formula For Partnership Questions
Tips To Solve Partnership Aptitude Questions
Selected Partnership Questions (Practice MCQs)
Conclusion
Frequently Asked Questions (FAQs)

Train Problems: Concept & Selected Practice Question With Answer

Master train problems with expert tips, tricks, and practice questions. Get a deeper understanding of concepts and boost your aptitude skills here!

7 mins read

Train Problems: Concept & Selected Practice Question With Answer

When it comes to dealing with train problems, swift solutions are key. Mastering train problems not only enhances your aptitude skills but also your likelihood of being selected in competitive exams.

Understanding Basic Concept

To begin with, let us understand the basic concept of train problems:

Key Terms

Train problems in mathematics involve the calculation of distances, speeds, and time-related to trains.

Formulas Used

To solve train problem questions, one must be familiar with the basic formulas. The formula for calculating speed is Speed = Distance/Time. Another essential formula is Time = Distance/Speed.

Types Of Problems

Different types of train-related problems include scenarios where two trains are moving towards each other, away from each other, or at angles concerning each other's direction.

Importance Of Train Problems In Aptitude

Mastering training problems is crucial for excelling in competitive exams. Regular practice with train problems sharpens analytical and mathematical reasoning skills.

It enhances the ability to interpret complex data quickly and accurately using a systematic approach and logical reasoning.

Train Problems In Government Exams

Train problems hold a significant place in various government exams, especially in the realm of aptitude tests. These problems assess candidates' analytical and quantitative aptitude, crucial for roles in government sectors.

In bank exams like IBPS PO and SBI Clerk, train problems are commonly included to evaluate candidates' mathematical abilities. Apart from railway and bank exams, other government recruitment tests like SSC CGL and UPSC also incorporate train problems.

Tips To Solve Train Problems

Let us study some of the tips to solve train problems:

Shortcut Techniques

Utilize shortcuts and tricks to efficiently tackle train problem questions. Identify the type of problem - whether it involves finding speed, distance, or time.

Practice Scenarios

Practice applying techniques to various train-related scenarios. Create scenarios with different complexities to enhance your problem-solving skills.

Selected Practice Questions & Answers

Practice a range of train problem questions to strengthen your understanding of different scenarios. Provided below are some of the best-selected questions on train problems:

Q and A in train problems

Question 1: A train travels 60 km in 1 hour. How far will it travel in 5 hours?

a) 120 km

b) 240 km

c) 300 km

d) 360 km

Answer: c) 300 km

Explanation: The train travels at a speed of 60 km/hour. So, in 5 hours, it will travel 60 × 5 = 300 km.

Question 2: Two trains are travelling towards each other at speeds of 60 km/h and 90 km/h respectively. They start at a distance of 150 km from each other. How long will it take for the two trains to meet?

a) 1 hour

b) 2 hours

c) 3 hours

d) 4 hours

Answer: a) 1 hour

Explanation: The two trains are moving towards each other, so their relative speed is 60 + 90 = 150 km/h. The distance between them is 150 km, so they will meet in 150 / 150 = 1 hour.

Question 3: A train travels at a speed of 80 km/h. How long will it take to travel a distance of 320 km?

a) 2 hours

b) 3 hours

c) 4 hours

d) 5 hours

Answer: c) 4 hours

Explanation: The train travels at a speed of 80 km/hour. So, to travel a distance of 320 km, it will take 320 / 80 = 4 hours.

Question 4: A train travels a distance of 450 km in 5 hours. What is the speed of the train?

a) 70 km/h

b) 80 km/h

c) 90 km/h

d) 100 km/h

Answer: c) 90 km/h

Explanation: The train travels a distance of 450 km in 5 hours. So, the speed of the train is 450 / 5 = 90 km/h.

Question 5: A train travels at a speed of 120 km/h. How far will it travel in 2.5 hours?

a) 200 km

b) 250 km

c) 300 km

d) 350 km

Answer:c) 300 km

Explanation: The train travels at a speed of 120 km/hour. So, in 2.5 hours, it will travel 120 × 2.5 = 300 km.

Question 6: Two trains are travelling towards each other at speeds of 70 km/h and 80 km/h respectively. They start at a distance of 210 km from each other. How long will it take for the two trains to meet?

a) 1 hour

b) 1.4 hours

c) 2 hours

d) 2.4 hours

Answer: b) 1.4 hours

Explanation: The two trains are moving towards each other, so their relative speed is 70 + 80 = 150 km/h. The distance between them is 210 km, so they will meet in 210 / 150 = 1.4 hours, which is approximately 1.5 hours.

Question 7: A train travels at a speed of 100 km/h. How long will it take to travel a distance of 450 km?

a) 3.5 hours

b) 4 hours

c) 4.5 hours

d) 5 hours

Answer: c) 4.5 hours

Explanation: The train travels at a speed of 100 km/hour. So, to travel a distance of 450 km, it will take 450 / 100 = 4.5 hours.

Question 8: A train travels a distance of 600 km in 4 hours. What is the speed of the train?

a) 120 km/h

b) 130 km/h

c) 140 km/h

d) 150 km/h

Answer: d) 150 km/h

Explanation: The train travels a distance of 600 km in 4 hours. So, the speed of the train is 600 / 4 = 150 km/h.

Question 9: A train travels at a speed of 90 km/h. How far will it travel in 3.5 hours?

a) 280 km

b) 300 km

c) 315 km

d) 330 km

Answer: c) 315 km

Explanation: The train travels at a speed of 90 km/hour. So, in 3.5 hours, it will travel 90 × 3.5 = 315 km.

Question 10: Two trains are travelling towards each other at speeds of 80 km/h and 100 km/h respectively. They start at a distance of 360 km from each other. How long will it take for the two trains to meet?

a) 1.5 hours

b) 2 hours

c) 2.5 hours

d) 3 hours

Answer: b) 2 hours

Explanation: The two trains are moving towards each other, so their relative speed is 80 + 100 = 180 km/h. The distance between them is 360 km, so they will meet in 360 / 180 = 2 hours.

Conclusion

Now that you have grasped the basic concepts, understood the importance of train problems in aptitude tests, learned how to tackle them effectively, and practiced with various examples, you are well-equipped to excel in solving train problems for government exams. Remember, practice makes perfect. Keep honing your skills by solving more problems regularly to boost your confidence and accuracy.

Time For A Short Quiz

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Frequently Asked Questions (FAQs)

1. What are train problems in aptitude tests?

Train problems in aptitude tests involve calculating the speed, distance, or time taken by a train to travel between two points. These problems help test your mathematical abilities and logical reasoning skills.

2. Why are train problems important for government exams?

Train problems are commonly included in government exam aptitude sections to assess candidates' analytical skills, problem-solving abilities, and time management. Mastering train problems can significantly improve your overall score in these exams.

3. How can I effectively solve train problems for government exams?

To solve train problems efficiently for government exams, it is crucial to understand the basic concepts, practice regularly with different scenarios, use shortcut techniques, and manage your time wisely during the exam.

4. What is the significance of understanding basic concepts for solving train problems?

Understanding basic concepts such as relative speed, distance-speed-time formulae, and direction of movement is essential for tackling various types of train problems accurately and quickly. It forms the foundation for solving complex train-related questions.