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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? 5 B 2 D 10 A 2 C 12 = ? D 3
15
20
30
12
20
Replace letters with symbols immediately following BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction). Solve left side first, then solve for the missing variable on the right.
Replace letters with symbols immediately following BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction). Solve left side first, then solve for the missing variable on the right.
Mapping and Substituting
Replace letters with their given operators: A = /, B = *, C = +, D = -. The equation becomes 5 * 2 - 10 / 2 + 12 =? - 3.
Applying BODMAS
Calculate the left side: first division (10 / 2 = 5), then multiplication (5 * 2 = 10). The equation simplifies to 10−5 + 12 =? - 3.
Solving for unknown
Evaluate the remaining arithmetic: 10 - 5 = 5, and 5 + 12 = 17. Now, 17 = ? - 3. Adding 3 to both sides gives ? = 17 + 3, which equals 20.
A: 15 is incorrect because 17+3 is 20, not 15. C: 30 is incorrect as it ignores the subtraction rule for D. D: 12 is incorrect due to calculation error in the division step.
B is correct because replacing the symbols and applying BODMAS yields 17 on the left and ? - 3 on the right, resulting in 20.
Always perform division and multiplication operations before addition and subtraction. In competitive exams, checking the signs (especially the minus sign) is the most common place for silly errors.
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