Reasoning: How to Solve Number Coding and Mathematical Operations in Coding

Introduction "Mastering Number Coding and Mathematical Operations in Coding can fetch you 20-30 marks in competitive exams like SSC, Banking, and Railway, making it a must-master topic to crack these exams with confidence."

WHAT YOU NEED TO KNOW FIRST

1. Direction Chart: A direction chart is a table that shows the possible directions in which a person can move (North, South, East, West, and so on). It's essential to remember the direction chart to solve coding questions.
2. BODMAS: BODMAS stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction. It's a mathematical operation that helps you solve expressions in the correct order.
3. Sitting Arrangement Conventions: In coding questions, sitting arrangements are often used to represent a sequence of events. Remembering the conventions for sitting arrangements, such as "A is to the left of B" or "C is behind D," is crucial.

CRYSTAL‑CLEAR METHOD (Step‑by‑Step)

1. Read the question carefully: Read the question and understand what's being asked.
2. Identify the type of coding: Identify the type of coding used in the question (e.g., direction coding, number coding, or alphabet coding).
3. Understand the coding pattern: Understand the coding pattern used in the question (e.g., alphabetical order, reverse alphabetical order, or numerical order).
4. Apply the coding pattern: Apply the coding pattern to the given data to find the solution.
5. Check the solution: Check the solution to ensure it satisfies the given conditions.

WORKED EXAMPLES

Example 1 – Easy

Question: In a row of 5 people, A is to the left of B, and C is behind D. If E is at one of the ends, which of the following is true?

A) A is at one of the ends B) B is at one of the ends C) C is at one of the ends D) D is at one of the ends

Solution:

1. Read the question carefully.
2. Identify the type of coding: Sitting arrangement.
3. Understand the coding pattern: A is to the left of B, and C is behind D.
4. Apply the coding pattern: If E is at one of the ends, A and B must be at the other end, and C and D must be in the middle.
5. Check the solution: The only option that satisfies the given conditions is B) B is at one of the ends.

What we learned: To solve sitting arrangement questions, remember the conventions and apply them to the given data.

Example 2 – Medium

Question: In a row of 7 people, A is to the left of B, and C is behind D. If E is at one of the ends, and F is to the right of G, which of the following is true?

A) A is at one of the ends B) B is at one of the ends C) C is at one of the ends D) D is at one of the ends

Solution:

1. Read the question carefully.
2. Identify the type of coding: Sitting arrangement.
3. Understand the coding pattern: A is to the left of B, and C is behind D.
4. Apply the coding pattern: If E is at one of the ends, A and B must be at the other end, and C and D must be in the middle. Since F is to the right of G, F and G must be at the other end.
5. Check the solution: The only option that satisfies the given conditions is B) B is at one of the ends.

What we learned: To solve complex sitting arrangement questions, break down the coding pattern and apply it step by step.

Example 3 – Exam‑Style

Question: In a row of 10 people, A is to the left of B, and C is behind D. If E is at one of the ends, and F is to the right of G, and H is to the left of I, which of the following is true?

A) A is at one of the ends B) B is at one of the ends C) C is at one of the ends D) D is at one of the ends

Solution:

1. Read the question carefully.
2. Identify the type of coding: Sitting arrangement.
3. Understand the coding pattern: A is to the left of B, and C is behind D.
4. Apply the coding pattern: If E is at one of the ends, A and B must be at the other end, and C and D must be in the middle. Since F is to the right of G, F and G must be at the other end. Since H is to the left of I, H and I must be at the other end.
5. Check the solution: The only option that satisfies the given conditions is B) B is at one of the ends.

What we learned: To solve complex and time-pressured sitting arrangement questions, stay calm and apply the coding pattern step by step.

Common Mistakes

1. Mistake: Assuming the coding pattern is alphabetical order when it's actually numerical order. WHY IT HAPPENS: This mistake happens when the student is not careful in reading the question and identifying the type of coding. CORRECT APPROACH: Read the question carefully and identify the type of coding before applying the coding pattern.

2. Mistake: Not considering the direction chart when solving direction coding questions. WHY IT HAPPENS: This mistake happens when the student is not familiar with the direction chart or forgets to use it. CORRECT APPROACH: Always use the direction chart when solving direction coding questions.

3. Mistake: Assuming the coding pattern is a simple alphabetical order when it's actually a complex pattern. WHY IT HAPPENS: This mistake happens when the student is not careful in understanding the coding pattern. CORRECT APPROACH: Understand the coding pattern carefully before applying it.

4. Mistake: Not checking the solution to ensure it satisfies the given conditions. WHY IT HAPPENS: This mistake happens when the student is in a hurry and doesn't take the time to check the solution. CORRECT APPROACH: Always check the solution to ensure it satisfies the given conditions.

5. Mistake: Not using the BODMAS rule when solving mathematical operations in coding questions. WHY IT HAPPENS: This mistake happens when the student is not familiar with the BODMAS rule or forgets to use it. CORRECT APPROACH: Always use the BODMAS rule when solving mathematical operations in coding questions.

EXAM TRAPS

1. Trap: A question that seems simple but has a complex coding pattern. How to Spot it: Look for questions that have a simple-looking coding pattern but require a complex solution. How to Avoid it: Read the question carefully and identify the type of coding before applying the coding pattern.

2. Trap: A question that has multiple coding patterns. How to Spot it: Look for questions that have multiple coding patterns or conditions. How to Avoid it: Identify the type of coding and apply the coding pattern step by step.

3. Trap: A question that has a time-pressured situation. How to Spot it: Look for questions that have a time-pressured situation or a complex coding pattern. How to Avoid it: Stay calm and apply the coding pattern step by step.

TIME‑SAVING SHORTCUTS

1. Elimination Trick: Eliminate options that are clearly incorrect based on the coding pattern.
2. Diagram Hack: Use a diagram to visualize the coding pattern and solve the question.
3. Pattern Recognition: Recognize common coding patterns and apply them quickly.

1‑MINUTE RECAP

"Alright, let's recap the strategy for solving Number Coding and Mathematical Operations in Coding questions. First, read the question carefully and identify the type of coding. Then, understand the coding pattern and apply it step by step. Don't forget to use the direction chart, BODMAS rule, and diagram hacks to save time. Stay calm and focused, and you'll be able to solve these questions with confidence. Remember, practice makes perfect, so make sure to practice these questions regularly. Good luck on your exam!