Reasoning: How to Solve Number Analogy - Missing Number Based on Pattern

Introduction

"Mastering Number Analogy questions can fetch you 10-15 marks in a single attempt, making it a must-master topic for cracking competitive exams like SSC, Banking, Railway, and CUET."

WHAT YOU NEED TO KNOW FIRST

To solve Number Analogy questions, you need to have a basic understanding of:

1. Direction Chart: A direction chart is a visual representation of directions like North, South, East, and West. It helps you understand the pattern of movement.
2. BODMAS: BODMAS is a rule that helps you solve mathematical expressions in the correct order: Brackets, Orders (exponents), Division, Multiplication, Addition, and Subtraction.
3. Sitting Arrangement Conventions: Sitting arrangement conventions refer to the rules that govern the arrangement of people in a room, such as alphabetical order, age order, or height order.

CRYSTAL‑CLEAR METHOD (Step‑by‑Step)

To solve a Number Analogy question, follow these steps:

1. Read the question carefully: Read the question and understand what is being asked.
2. Identify the pattern: Look for a pattern in the given numbers or sequence.
3. Understand the relationship: Understand the relationship between the numbers or sequence.
4. Find the missing number: Use the pattern and relationship to find the missing number.
5. Verify the answer: Verify the answer by checking if it fits the pattern and relationship.

WORKED EXAMPLES

Example 1 – Easy

Question: 2, 4, 8, 16, ?

Solution:

1. Read the question carefully: The question asks for the next number in the sequence.
2. Identify the pattern: The pattern is a sequence of numbers that doubles each time (2, 4, 8, 16, ...).
3. Understand the relationship: The relationship is a multiplication by 2.
4. Find the missing number: Multiply the last number (16) by 2 to get the next number (32).
5. Verify the answer: Verify that the answer (32) fits the pattern and relationship.

What we learned: To solve easy Number Analogy questions, look for simple patterns like doubling or halving.

Example 2 – Medium

Question: 3, 6, 12, 24, ?

Solution:

1. Read the question carefully: The question asks for the next number in the sequence.
2. Identify the pattern: The pattern is a sequence of numbers that doubles each time, but with a twist: the first number is 3, not 2.
3. Understand the relationship: The relationship is a multiplication by 2, but with a starting point of 3.
4. Find the missing number: Multiply the last number (24) by 2 to get the next number (48).
5. Verify the answer: Verify that the answer (48) fits the pattern and relationship.

What we learned: To solve medium Number Analogy questions, look for patterns with twists or variations.

Example 3 – Exam‑Style

Question: In a certain code, 1 represents A, 2 represents B, 3 represents C, and so on. If the code is 3, 5, 7, 9, ?, what is the next number in the code?

Solution:

1. Read the question carefully: The question asks for the next number in the code.
2. Identify the pattern: The pattern is a sequence of numbers that increases by 2 each time (3, 5, 7, 9, ...).
3. Understand the relationship: The relationship is an increase by 2.
4. Find the missing number: Add 2 to the last number (9) to get the next number (11).
5. Verify the answer: Verify that the answer (11) fits the pattern and relationship.

What we learned: To solve exam-style Number Analogy questions, look for patterns and relationships that require critical thinking.

Common Mistakes

MISTAKE → WHY IT HAPPENS → CORRECT APPROACH

1. Mistake: Assuming the pattern is too complex: WHY IT HAPPENS → You might get overwhelmed by the complexity of the pattern. CORRECT APPROACH → Break down the pattern into smaller parts and analyze each part separately.
2. Mistake: Focusing on the wrong pattern: WHY IT HAPPENS → You might get distracted by a secondary pattern and ignore the primary pattern. CORRECT APPROACH → Identify the primary pattern and focus on it.
3. Mistake: Not verifying the answer: WHY IT HAPPENS → You might get too confident in your answer and ignore verification. CORRECT APPROACH → Verify the answer by checking if it fits the pattern and relationship.
4. Mistake: Not considering alternative patterns: WHY IT HAPPENS → You might get stuck on a single pattern and ignore alternative patterns. CORRECT APPROACH → Consider alternative patterns and analyze each one separately.
5. Mistake: Not using a direction chart: WHY IT HAPPENS → You might get confused by the direction of the pattern. CORRECT APPROACH → Use a direction chart to visualize the pattern and understand the direction.

EXAM TRAPS

Trap → How to Spot it → How to Avoid it

1. Trap: Overcomplicating the pattern: How to Spot it → You might see a complex pattern and try to analyze it. How to Avoid it → Break down the pattern into smaller parts and analyze each part separately.
2. Trap: Ignoring the relationship: How to Spot it → You might focus on the pattern and ignore the relationship. How to Avoid it → Understand the relationship between the numbers or sequence.
3. Trap: Not considering the context: How to Spot it → You might ignore the context of the question. How to Avoid it → Read the question carefully and understand the context.

TIME‑SAVING SHORTCUTS

1. Elimination trick: Eliminate options that are clearly incorrect or don't fit the pattern.
2. Diagram hack: Use a diagram to visualize the pattern and understand the direction.
3. Pattern recognition: Recognize common patterns like doubling or halving, and use them to your advantage.

1‑MINUTE RECAP

"Alright, let's recap the strategy for solving Number Analogy questions. First, read the question carefully and understand what is being asked. Then, identify the pattern and understand the relationship between the numbers or sequence. Next, find the missing number using the pattern and relationship. Finally, verify the answer by checking if it fits the pattern and relationship. Remember to avoid common mistakes like overcomplicating the pattern, ignoring the relationship, and not verifying the answer. Use time-saving shortcuts like elimination tricks, diagram hacks, and pattern recognition to save time. With practice and patience, you'll master Number Analogy questions and crack competitive exams like a pro!