Symbolic Operations
What is Symbolic Operations?
A type of reasoning problem where given symbols are replaced by mathematical operations or numbers, and the resulting expression is evaluated according to the order of operations.
Key points
- To be able to substitute given symbols with their correct mathematical operations.
- To solve mathematical expressions accurately using the BODMAS/PEMDAS rule.
- To quickly identify the correct option based on symbol substitution and evaluation.
- To improve speed and accuracy in solving symbolic operation problems.
Common exam trap
Incorrect substitution of symbols.
Definitions
- Term
Symbolic Operations
- Meaning
A type of reasoning problem where given symbols are replaced by mathematical operations or numbers, and the resulting expression is evaluated according to the order of operations.
- Term
BODMAS Rule
- Meaning
An acronym representing the order in which mathematical operations should be performed: Brackets, Orders (powers and square roots), Division, Multiplication, Addition, and Subtraction.
- Term
PEMDAS Rule
- Meaning
An alternative acronym for the order of operations: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. It is equivalent to BODMAS.
Learning objectives
To be able to substitute given symbols with their correct mathematical operations.
To solve mathematical expressions accurately using the BODMAS/PEMDAS rule.
To quickly identify the correct option based on symbol substitution and evaluation.
To improve speed and accuracy in solving symbolic operation problems.
Prerequisites
Basic arithmetic operations (addition, subtraction, multiplication, division).
Understanding of BODMAS/PEMDAS rule.
Basic algebraic manipulation (optional but helpful).
Common mistakes
Incorrect substitution of symbols.
Ignoring the order of operations (e.g., doing addition before multiplication).
Calculation errors.
Misinterpreting the question's requirement (e.g., finding the correct option vs. evaluating an expression).
Keywords
Symbolic Operations
Equation Solving
Substitution
BODMAS
PEMDAS
Order of Operations
Mathematical Reasoning
Logical Reasoning
Arithmetic
Quantitative Aptitude
Practice preview
If 'A' means '+', 'B' means '-', 'C' means 'x', and 'D' means '÷', then what is the value of 24 D 6 A 8 C 2 B 10?…
easy
If 5 * 2 = 20, 3 * 4 = 24, then what is 7 * 3?…
medium
If 'P' means 'x', 'Q' means '÷', 'R' means '+', and 'S' means '-', then what is the value of 18 Q 3 P 5 R 12 S 6?…
easy