Why this topic matters · 7 min read
SSC GD tests your ability to decode non-standard symbol meanings and apply them to solve equations. This is a high-frequency topic (2-3 questions per paper) with 1-2 marks each. Questions involve replacing standard operators (+, -, *, /) with symbols or words, then solving. Speed and accuracy matter because you must first decode, then calculate correctly.
What Are Mathematical Operations Questions?
In these questions, standard mathematical symbols are replaced with new symbols or words. For example, '+' might mean 'multiply', '-' might mean 'divide'. You are given the new definitions, then asked to solve an expression using those definitions. The trick is: ignore what the symbol normally means and use ONLY the given meaning. Many aspirants slip back into old habits and use standard operations—that's the trap.
- Standard operators (+, -, *, /) are redefined using symbols or words
- You must apply ONLY the given definition, not the normal meaning
- Always decode the key first before touching the calculation
- Order of operations (BODMAS) still applies unless told otherwise
- Common in SSC GD as a quick-check question for logical thinking
Decoding the Symbol Key
The question always gives you a 'key' or 'legend' that tells you what each symbol means. Read this carefully. Write it down on your rough sheet. For example: 'If + means *, - means /, * means +, / means -'. Once you have the key, substitute every symbol in the expression with its new meaning, then solve using standard BODMAS rules.
- Read the key statement word-by-word; don't skim
- Write the key on rough paper in a clear table format
- Replace symbols in the expression one by one
- After substitution, the expression looks normal—now apply BODMAS
- Double-check your substitutions before calculating
Step-by-Step Solving Method
Step 1: Extract and write the symbol key clearly. Step 2: Rewrite the given expression, replacing each symbol with its new meaning. Step 3: Apply BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) to the rewritten expression. Step 4: Calculate left to right following the order of operations. Step 5: Verify your answer makes sense. This methodical approach prevents careless errors and keeps you aligned with the question's intent.
- Step 1: Write the key in a clear table (Symbol | Means)
- Step 2: Rewrite the entire expression with new operators
- Step 3: Identify which operations to do first (BODMAS)
- Step 4: Solve step-by-step, showing working
- Step 5: Check if answer is among the options
Common Variations in SSC GD Papers
Variation 1: Symbol-based (+ means *, - means /, etc.). Variation 2: Word-based (plus means into, minus means by, etc.). Variation 3: Multiple expressions in one question (solve A, then use result in B). Variation 4: Reverse decoding (given answer, find the operation). SSC GD mostly tests Variation 1 and 2. Variation 3 appears occasionally in harder slots. Always check if the question asks for a single answer or a sequence.
- Symbol-based: most common in SSC GD (70% of questions)
- Word-based: slightly trickier because you must translate words first
- Multi-step: solve one expression, use result in next
- Reverse type: rare but watch for 'which operation' questions
- Read the question ending carefully: 'find the value' vs 'which operation'
BODMAS After Substitution
After you substitute the new operators, the expression becomes a normal math problem. BODMAS still governs the order. Brackets first, then exponents (Orders), then Division and Multiplication (left to right), then Addition and Subtraction (left to right). Many aspirants forget BODMAS after substitution and just solve left to right—this causes wrong answers. Treat the rewritten expression as a fresh math problem.
- Brackets (if any) are solved first
- Exponents/Orders next
- Division and Multiplication together, left to right
- Addition and Subtraction together, left to right
- Never ignore BODMAS after substitution
⚠ Common mistakes to avoid
- Using the normal meaning of the symbol instead of the given meaning. Example: seeing '+' and adding, even though the key says '+' means multiply. Always re-read the key before solving.
- Forgetting BODMAS after substitution and solving left to right. Example: 10 * 5 / 2 + 3 solved as ((((10 * 5) / 2) + 3)) instead of (10 * 5) first, then (/ 2), then (+ 3).
- Misreading the key because it's written in words. Example: 'plus means into' being read as 'plus means multiply'. Write the key clearly on rough paper before solving.
- Not checking if the answer is among the given options. If your answer doesn't match any option, re-check your substitution and BODMAS application.
- Solving too fast and skipping the substitution step. This leads to mixing old and new operators. Always write out the rewritten expression clearly.
🧠 Memory aids
- KEY FIRST, SOLVE SECOND: Before touching any calculation, extract and write the symbol key. This is your safety net.
- BODMAS AFTER SWAP: Once you swap operators, treat it as a normal math problem and apply BODMAS strictly.
- WRITE IT OUT: Don't do substitution in your head. Write the rewritten expression on paper. This prevents 90% of errors.
- CHECK AGAINST OPTIONS: After solving, verify your answer is among the choices. If not, backtrack to substitution, not calculation.
🎯 SSC GD exam tips
- SSC GD typically asks 2-3 questions on Mathematical Operations, each worth 1 mark. They appear in the Reasoning section (25 questions total). Difficulty is easy to moderate.
- Time allocation: Spend 1.5-2 minutes per question. If you're taking longer, you're likely overthinking. Write the key, substitute, apply BODMAS, done.
- Recent papers (2022-2024) show a preference for symbol-based operations over word-based. Expect 2 symbol questions and 1 word-based question per paper.
- Watch for multi-step questions where the result of one expression feeds into another. Read the full question before starting.
- In the exam, if a question feels confusing, re-read the key statement word-by-word. 80% of errors come from misreading the key, not miscalculation.
Q1 · medium · PYQ 2018
What will be the value of the following equation if '÷' means 'addition', '–' means 'subtraction', '–' means 'multiplication' and '×' means 'division' ?
49 × 7 – 3 ÷ 9 + 4 = ?
- 31
- 26
- 35
- 39
Q2 · medium · PYQ 2023
1f 6 @ 10 # 5 * 7 = 63 and 4 @ 3 # 2 * 5 = 15, then 4 @ 5 # 6 * 7 = ?
- 41
- 28
- 39
- 18
Q3 · medium · PYQ 2021
If the diagonal of a square is increased by 4 cm, its area increases by 56 cm². Find the ratio of the new area of the square to the initial area of the square.
- 16:9
- 13:8
- 18:11
- 12:5
Q4 · medium · PYQ 2023
Of 'x' Stands for 'addition' 'z' for subtraction' '+' for division' > for multiplication' '–' for equal to' '+' for 'greater than' and '=' for 'less than' state which of the following is true. ?
- 3 x 4 > 2 – 9 + 3 < 3
- 5 x 3 < 7 + 8 + 4 x 1
- 5 > 2 + 2 = 10 < 4 x 8
- 3 x 2 < 4 ÷ 16 > 2 + 4
Q5 · medium · PYQ 2022
Which two signs should be interchanged to make the below equation mathematically correct?
42 + 16 ÷ 7 – 36 × 16 = 76
- + and –
- ÷ and ×
- × and +
- ÷ and +