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What will come in the place of '?' in the following equation, if '-' and 'x' are interchanged and '+' and '├╖' are interchanged? 23├Ч13тИТ7├╖14+7=?
56
76
92
66
66
Apply the BODMAS rule after substituting the operators as instructed, and be mindful of the negative sign results.
Apply the BODMAS rule after substituting the operators as instructed, and be mindful of the negative sign results.
Substitute the Operators
Given the rules: '-' becomes 'x', 'x' becomes '-', '+' becomes '├╖', and '├╖' becomes '+'. The equation '23 x 13 - 7 ├╖ 14 + 7' transforms into '23 - 13 x 7 + 14 ├╖ 7'.
Solve using BODMAS
Applying BODMAS: First, division (14 / 7 = 2), then multiplication (13 x 7 = 91). The equation becomes 23 - 91 + 2.
Final Calculation
Perform the remaining addition and subtraction: (23 + 2) - 91 = 25 - 91 = -66.
A: -56 is incorrect because the arithmetic result is -66. B: -76 is incorrect as it results from miscalculating the operator precedence. C: -92 is incorrect as it does not follow the correct BODMAS sequence.
D is correct because following the BODMAS rule with the interchanged symbols results in 23 - 91 + 2, which equals -66.
In questions involving symbol substitution, always rewrite the full equation with the new signs before starting calculations to avoid mental errors.
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