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Examoogle • User • info@examoogle.com • EE-2024-8821
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If'+' means 'subtraction', '−' means 'division', '÷' means 'multiplication' and'×' means 'addition', then what will come in place of the question mark (?) in the following equation? 30 − 5 × 2960 + 74 ÷ 4 = ?
2671
2670
2673
2674
2670
Apply BODMAS strictly after substituting the operators: 30 / 5 + 2960 - 74 * 4. Solve the division first to simplify the expression rapidly.
Apply BODMAS strictly after substituting the operators: 30 / 5 + 2960 - 74 * 4. Solve the division first to simplify the expression rapidly.
Substitute Symbols
Replace the operators as per the given rules: '-' becomes 'division', 'x' becomes 'addition', '+' becomes 'subtraction', and '÷' becomes 'multiplication'. The equation 30 - 5 x 2960 + 74 ÷ 4 transforms to 30 / 5 + 2960 - 74 * 4.
Apply BODMAS Rule
Solve the operations in order: Division, Multiplication, Addition, Subtraction. First, 30 / 5 = 6. Then, 74 * 4 = 296. The equation becomes 6 + 2960 - 296.
Final Calculation
Calculate 6 + 2960 = 2966. Finally, subtract 296: 2966 - 296 = 2670.
A: 2671 is incorrect as the calculation results strictly in 2670. C: 2673 is incorrect because it misses the final subtraction result. D: 2674 is incorrect as it implies a calculation error during the final arithmetic step.
B is correct because the substitution 30 / 5 + 2960 - 74 * 4 following BODMAS yields exactly 6 + 2960 - 296 = 2670.
Always write down the new equation clearly after substitution before performing any calculations to avoid mixing up operators.
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