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What will come in place of the question mark (?) in the following equation if ‘+’ and ‘×’ are interchanged and ‘–’ and ‘÷’,interchanged ? 4 + 11 × 48 – 6 ÷ 3 = ?
51
46
49
53
49
Rewrite the equation immediately with new symbols and apply the BODMAS rule (Brackets, Of, Division, Multiplication, Addition, Subtraction) strictly from left to right.
Rewrite the equation immediately with new symbols and apply the BODMAS rule (Brackets, Of, Division, Multiplication, Addition, Subtraction) strictly from left to right.
Symbol Interchange
Given equation: 4 + 11 * 48 - 6 / 3. Applying the rules (+ becomes *, * becomes +, - becomes /, / becomes -), the equation becomes: 4 * 11 + 48 / 6 - 3.
BODMAS Calculation
First, perform division: 48 / 6 = 8. The equation is now 4 * 11 + 8 - 3. Next, perform multiplication: 4 * 11 = 44. The equation is now 44 + 8 - 3.
Final Summation
Perform addition: 44 + 8 = 52. Then, perform subtraction: 52 - 3 = 49.
A: 51 is incorrect as it results from miscalculating the order of operations. B: 46 is incorrect as it results from applying multiplication before division incorrectly. D: 53 is incorrect as it results from an arithmetic error during the addition step.
C is correct because applying the interchanged signs 4 * 11 + 48 / 6 - 3 yields 44 + 8 - 3 = 49 using the BODMAS rule.
Always handle division first in complex arithmetic sequences to avoid common calculation errors; the priority is always division, then multiplication, then addition and subtraction.
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