Mathematical Operations for SSC CGL
Master Logical Arithmetic Patterns
1. Introduction
Mathematical Operations questions are an important part of SSC CGL reasoning. They test your ability to apply logic and basic arithmetic operations to solve problems.
These questions are scoring because once you identify the hidden operation pattern, solving becomes quick and systematic.
2. Definition
Mathematical Operations questions involve a set of numbers with mathematical relationships, such as addition, subtraction, multiplication, division, or combinations. Your task is to determine the correct result or identify a pattern.
Example: If 3 ⊕ 2 = 9 and 5 ⊕ 3 = 25, find the logic.
Solution: Observe the pattern: a ⊕ b = a × a
Check: 3 ⊕ 2 = 3×3 = 9, 5 ⊕ 3 = 5×5 = 25
The operation uses a hidden formula rather than conventional arithmetic.
3. Types of Mathematical Operations
Simple Arithmetic Operations:
Addition, subtraction, multiplication, division, percentage.
Example: 12 + 5 × 2 = ?
Hidden Operations / Symbol-Based Questions:
Symbols like ⊕, △, ☆ represent a specific operation.
Example: a ⊕ b = a² + b²
Series Using Operations:
Number series where a hidden operation defines the sequence.
Example: 2, 6, 12, 20, ? → Difference follows +4, +6, +8…
Mixed Operation Problems:
Combining multiple rules for logical reasoning.
Example: a ⊕ b = (a+b) × 2
4. Previous Year SSC CGL Examples
2018 Tier I: If 3 ∆ 2 = 5 and 5 ∆ 4 = 9
Answer: a ∆ b = a + b
2019 Tier I: 7 ⊕ 3 = 40 and 5 ⊕ 2 = 21
Answer: a ⊕ b = a² – b²
2020 Tier I: Series 2, 6, 12, 20, ?
Answer: 30 (Pattern: +4, +6, +8, +10)
Practicing previous year questions improves pattern recognition and speed in operation-based reasoning.
5. Strategy to Approach Mathematical Operations Questions
- Look for hidden patterns: Symbols often represent a special operation
- Check arithmetic relationships: Addition, subtraction, multiplication, division, squares, cubes
- Verify with multiple examples: Ensure the pattern fits all given equations
- Practice shortcut methods: Learn common patterns used in SSC CGL
- Attempt series questions: Operations often appear in series or mixed forms
6. Quick Recap
- Mathematical Operations questions involve hidden or explicit arithmetic patterns
- Types: Simple arithmetic, hidden symbol operations, series using operations, mixed operations
- Identify the pattern first, then solve consistently
- Regular practice enhances accuracy and speed in exams
7. Practice Questions
Try solving these to test your understanding:
1. 2 ∆ 5 = ? if ∆ represents (a² + b²)
2. Series: 3, 6, 12, 21, ? → Find the next number
3. If a ⊕ b = a × b + a, find 5 ⊕ 3
4. Find the missing number: 7, 14, 29, 58, ?
Click for Answers
1. 29 (2² + 5² = 4 + 25 = 29)
2. 33 (Difference: +3, +6, +9, +12)
3. 20 (5×3 + 5 = 15 + 5 = 20)
4. 117 (Pattern: ×2, ×2+1, ×2+1, ×2+1: 7×2=14, 14×2+1=29, 29×2=58, 58×2+1=117)
Solve these by finding the hidden operation or pattern before checking answers.
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