If 'X' means \div, 'Y' means \times, 'Z' means +, and 'W' mean... | General Science MCQ | Examoogle

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If 'X' means $\div, 'Y'$ means $\times, 'Z'$ means +, and 'W' means -, what is the value of: 100 X 20 Y 5 Z 10 W 5 =?

Correct Answer

📐 MA • Math Concept & PrincipleGeneral ScienceMathematical Operations

Option A

Quick Summary:

To solve this problem, we substitute the given symbols with their respective arithmetic operators: $X \rightarrow \div$ , $Y \rightarrow \times$ , $Z \rightarrow +$ , and $W \rightarrow -$ . The expression becomes $100 \div 20 \times 5 + 10^{-5}$ .

🔬SCScience SolutionConcept & Principle

💡 Explanation

💡 Everyday Analogy (Real-World Intuition)

Think of this as following a recipe: you must prioritize the order of operations just like adding ingredients in a specific sequence to achieve the desired dish.

🧠 Memory Mnemonic / Shortcut Aid

BODMAS: Brackets, Orders, Division, Multiplication, Addition, Subtraction.

🔢 Key Formulas

$\text{BODMAS Rule} = \text{Bracket} \rightarrow \text{Of} \rightarrow \text{Division} \rightarrow \text{Multiplication} \rightarrow \text{Addition} \rightarrow \text{Subtraction}$

⚙️ Working Principle

We follow the BODMAS rule: Bracket, Orders (or Of), Division, Multiplication, Addition, and Subtraction. First, divide $100 \div 20 = 5$ , then multiply by $5$ to get $25$ . Finally, add $10$ to get $35$ and subtract $5$ to result in $30$ .

📌 Key Points

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Mathematical operations must follow a strict hierarchical sequence.
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Substitution must be performed before the calculation begins.
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Division and Multiplication have equal priority but are solved from left to right.
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Addition and Subtraction have equal priority but are solved from left to right.

✅ Advantages

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Eliminates ambiguity in complex mathematical expressions.

❌ Disadvantages / Limitations

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Requires strict attention to detail during the substitution phase.

🛠️ Applications / Uses

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Data interpretation and reasoning tests.
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Algorithm development in computer science.

📄 Additional Information

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The expression calculation: $100 \div 20 = 5$ ; $5 \times 5 = 25$ ; $25 + 10 = 35$ ; $35 - 5 = 30$ .
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Option B (25) arises if one mistakenly performs addition before multiplication.

📊 Diagram / Illustration

✅

A is correct — The expression evaluates to $30$ following the standard order of operations.

Core Concepts Used

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Mathematical Operations Order of Operations (BODMAS) Algebraic Substitution

💡 EXAM TIP

In competitive exams, always write down the substituted expression clearly before calculating to avoid minor arithmetic errors.

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