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If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, what will come in place of the question mark ‘?’ in the following equation? 4 B 5 D 20 A 2 C 17 = ? D 3
50
35
20
30
30
Apply BODMAS rule immediately after substituting the operators: 4*5-20/2+17 and then equate the result to the mystery variable minus 3.
Apply BODMAS rule immediately after substituting the operators: 4*5-20/2+17 and then equate the result to the mystery variable minus 3.
Substitute Operators
Replace the letters with their defined mathematical operations: A=÷, B=×, C=+, D=−. The equation becomes 4 × 5 − 20 ÷ 2 + 17 = ? − 3.
Solve Left Hand Side (LHS) using BODMAS
First perform division: 20 ÷ 2 = 10. Then perform multiplication: 4 × 5 = 20. The equation simplifies to: 20 − 10 + 17 = ? − 3.
Calculate Final Result
Simplify the LHS: 20 − 10 = 10, and 10 + 17 = 27. Now the equation is 27 = ? − 3. To isolate ?, add 3 to both sides: ? = 27 + 3, which equals 30.
A: 50 is incorrect as it results from miscalculating the order of operations; B: 35 is incorrect as it fails to properly account for the D 3 term on the right; C: 20 is incorrect as it ignores the addition/subtraction sequence.
D is correct because following the BODMAS rule for the expression 4*5-20/2+17 yields 27, and setting 27 =?-3 leads to? = 30.
Always solve division and multiplication first before addition and subtraction; common errors occur when students solve left-to-right ignoring precedence.
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