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If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then what will come in place of the question mark (?) in the following equation? 15 D 12 A 6 C 3 B 7 = ?
34
31
32
33
34
Apply BODMAS rule immediately: Division first, then Multiplication, then Addition/Subtraction to solve the sequence efficiently.
Apply BODMAS rule immediately: Division first, then Multiplication, then Addition/Subtraction to solve the sequence efficiently.
Substitution
Replace the letters with their respective mathematical operators: 15 D 12 A 6 C 3 B 7 becomes 15 - 12 / 6 + 3 * 7.
Applying BODMAS
First, perform division: 12 / 6 = 2. The equation is now 15 - 2 + 3 * 7. Next, perform multiplication: 3 * 7 = 21. The equation is now 15 - 2 + 21.
Final Calculation
Solve addition and subtraction from left to right: 15 - 2 = 13, and 13 + 21 = 34.
B: 31 is incorrect because it ignores the correct order of BODMAS operations. C: 32 is incorrect as it results from miscalculating the final sum. D: 33 is incorrect as it results from miscalculating the subtraction component.
A is correct because substituting the operators yields 15 - (12 / 6) + (3 * 7), which simplifies to 15 - 2 + 21, equaling 34.
Always look for division first in these problems; if the division does not result in an integer, re-check your substitution or the question order.