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If ‘A’ stands for ‘÷’, ‘B’ stands for ‘x’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘-’, then what will be come in place of the question mark (?) in the following equation? 30 C 48 D 36 B 50 A 20 = ?
−10
−12
−11
−14
−12
Apply BODMAS: Divide, Multiply, Add, Subtract. Convert the symbols first: A=/ , B=x, C=+, D=-. Calculate: 30 + 48 - 36 x 50 / 20 = 30 + 48 - (36 x 2.5) = 30 + 48 - 90 = 78 - 90 = -12.
Apply BODMAS: Divide, Multiply, Add, Subtract. Convert the symbols first: A=/ , B=x, C=+, D=-. Calculate: 30 + 48 - 36 x 50 / 20 = 30 + 48 - (36 x 2.5) = 30 + 48 - 90 = 78 - 90 = -12.
Symbol Substitution
Replace letters with arithmetic operators: 30 C 48 D 36 B 50 A 20 becomes 30 + 48 - 36 x 50 / 20.
Applying BODMAS
Solve Division (50 / 20 = 2.5), then Multiplication (36 x 2.5 = 90), then Addition (30 + 48 = 78), and finally Subtraction (78 - 90 = -12).
A: -10 is incorrect as 78-90 results in -12. C: -11 is mathematically inconsistent. D: -14 is incorrect because it ignores standard order of operations.
B is correct because the sequential application of BODMAS (50/20=2.5, 36*2.5=90, 78-90=-12) yields exactly -12.
Always solve division and multiplication first before addition and subtraction. Failing to calculate the division (50/20) correctly is the most common pitfall in these questions.
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