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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? 45 C 30 A 10 D 7 B 2 = ?
32
31
33
34
34
Apply BODMAS rule strictly: Division, Multiplication, Addition, and Subtraction in order.
Apply BODMAS rule strictly: Division, Multiplication, Addition, and Subtraction in order.
Substitute the Operators
Given A = /, B = *, C = +, D = -. Replacing symbols in 45 C 30 A 10 D 7 B 2 results in the expression 45 + 30 / 10−7∗2.
Perform Division and Multiplication
Applying BODMAS: First divide (30 / 10 = 3), then multiply (7 * 2 = 14). The expression becomes 45 + 3 - 14.
Final Addition and Subtraction
Add the numbers: 45 + 3 = 48. Finally, subtract 14: 48 - 14 = 34.
A: 32 is the result if 7*2 was calculated incorrectly or order of operations was ignored. B: 31 is the result of calculation errors during the addition phase. C: 33 occurs if the division was performed as 30 / 10 = 3 and then added to 45 incorrectly.
D is correct because following the BODMAS rule leads to 45 + 3 - 14 = 34.
Always convert symbols to operators first and write out the full expression; never attempt to solve parts of the expression in isolation to avoid sign errors.
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