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What will come in place of the question mark (?) in the following equation, if '+' and '÷' are interchanged and '-' and 'x' are interchanged?
243 + 9 x 4 - 19 ÷ 200 =?
149
151
144
156
151
Apply the BODMAS rule after replacing the operators: + becomes ÷, ÷ becomes +, - becomes ×, and × becomes -.
Apply the BODMAS rule after replacing the operators: + becomes ÷, ÷ becomes +, - becomes ×, and × becomes -.
Step 1: Replace Operators
Replace '+' with '÷', '×' with '-', '-' with '×', and '÷' with '+'. The equation 243 + 9 × 4 - 19 ÷ 200 becomes 243 ÷ 9 - 4 × 19 + 200.
Step 2: Solve using BODMAS
Follow BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction): First divide 243 ÷ 9 = 27. Then multiply 4 × 19 = 76. The equation is now 27 - 76 + 200.
Step 3: Final Calculation
Perform addition and subtraction: 27 + 200 = 227, and 227 - 76 = 151.
A: 149 is incorrect as it results from miscalculating the arithmetic sequence. C: 144 is incorrect as it deviates from the BODMAS order of operations. D: 156 is incorrect as it ignores the subtraction rule for the final term.
B is correct because replacing the symbols according to the rule and solving via BODMAS yields 151.
In operator substitution questions, always write the new equation clearly before performing calculations to avoid sign errors.
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