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Arithmetic Operations

Arithmetic Operations with Symbols problems replace standard mathematical operators (+, -, ×, ÷) with symbols (@, #, $, %). You must decode the expression and evaluate it following the correct order of operations (BODMAS/PEMDAS). These problems test your ability to interpret symbolic representations of arithmetic.

10Worksheets
200+Practice Questions
IntermediateDifficulty
2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks
Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Arithmetic Operations

Arithmetic Operations with Symbols problems replace standard mathematical operators (+, -, ×, ÷) with symbols (@, #, $, %). You must decode the expression and evaluate it following the correct order of operations (BODMAS/PEMDAS). These problems test your ability to interpret symbolic representations of arithmetic.

Prerequisites

Basic arithmetic operations (+, -, ×, ÷) Order of operations (BODMAS/PEMDAS) Symbol substitution Integer arithmetic
Why This Matters: Arithmetic Operations problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test arithmetic skills and symbol interpretation.

How to Solve Arithmetic Operations Problems

1

Step 1: Identify the mapping of symbols to operations (e.g., @ = +, # = -, $ = ×, % = ÷)

2

Step 2: Replace each symbol in the expression with its corresponding operation

3

Step 3: Apply the order of operations: brackets, orders, division/multiplication (left to right), addition/subtraction (left to right)

4

Step 4: Perform calculations step by step

5

Step 5: Handle division carefully (integer division or exact division as specified)

6

Step 6: Double-check your calculations

7

Step 7: Present the final numeric answer

Pro Strategy: Always replace symbols with operations first. Then apply BODMAS strictly. Write the decoded expression clearly before calculating.

Example Problem

Example: If @ = +, # = -, $ = ×, evaluate: 5 @ 3 $ 2 Solution: Step 1: 5 @ 3 $ 2 → 5 + 3 × 2 Step 2: Multiplication first: 3 × 2 = 6 Step 3: Then addition: 5 + 6 = 11 Answer: 11

Pro Tips & Tricks

  • Memorize BODMAS: Brackets, Orders (powers), Division, Multiplication, Addition, Subtraction
  • Multiplication and division have equal precedence (evaluate left to right)
  • Addition and subtraction have equal precedence (evaluate left to right)
  • If division doesn't yield an integer, check if the problem expects exact division or rounding
  • Write the decoded expression on paper to avoid mental errors
  • For expressions with multiple operations, add parentheses to show precedence

Shortcut Methods to Solve Faster

For expressions with only + and -, evaluate left to right
For expressions with only × and ÷, evaluate left to right
When × and + appear together, always do × first
Parentheses override normal precedence

Common Mistakes to Avoid

Forgetting the order of operations (doing addition before multiplication)
Misidentifying which symbol maps to which operation
Evaluating from right to left instead of left to right for same-precedence operations
Not handling division by zero (should not occur in valid problems)

Exam Importance

Arithmetic Operations is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
INSURANCE
1-2 questions

Ready to Master Arithmetic Operations?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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