If + = ×, − = +, × = ÷; then \(10 + 2 - 4 × 2 = ?\)

Question

If + = ×, − = +, × = ÷; then \(10 + 2 - 4 × 2 = ?\)

1. A. 10
2. B. 19
3. C. 22 (Correct answer)
4. D. 24

Correct Answer

Option C — 22

Detailed Solution & Explanation

The correct answer is 22.

Key Points

• Substitute the symbols as instructed: + → ×, − → +, × → ÷.
• The expression 10 + 2 − 4 × 2 becomes 10 × 2 + 4 ÷ 2.
• Apply BODMAS to the converted expression: 10 × 2 = 20 and 4 ÷ 2 = 2, then 20 + 2 = 22.
• Substitute first, then apply precedence — evaluating in the original order before swapping is what produces the wrong options.
• After substitution the expression is ordinary arithmetic, so division and multiplication resolve before addition, left to right.
• Working the original symbols first and swapping afterwards gives 10 + 2 − 8 = 4, which is not among the options — a useful signal that the order of operations was applied too early.

Additional Information

• Symbol-substitution questions require the swap first and the order of operations second — reversing that sequence is the commonest error.
• BODMAS: Brackets, Orders (powers and roots), Division and Multiplication (left to right), then Addition and Subtraction (left to right).
• Division and multiplication share a precedence level, as do addition and subtraction, so equal-ranked operations resolve strictly left to right.

प्रश्न (हिन्दी में)

यदि + = ×, − = +, × = ÷; तो \(10 + 2 - 4 × 2 = ?\)

1. A. 10
2. B. 19
3. C. 22
4. D. 24