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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? 57 D 34 C 90 A 18 B 6 = ?
54
55
57
53
53
Apply BODMAS rule strictly: perform division and multiplication first before addition and subtraction to avoid calculation errors.
Apply BODMAS rule strictly: perform division and multiplication first before addition and subtraction to avoid calculation errors.
Substitute the symbols
Given: A is divide, B is multiply, C is plus, D is minus. The equation 57 D 34 C 90 A 18 B 6 becomes 57 - 34 + 90 / 18 * 6.
Apply BODMAS sequence
First, perform division (90 / 18 = 5). The equation becomes 57 - 34 + 5 * 6.
Perform multiplication
Next, perform multiplication (5 * 6 = 30). The equation becomes 57 - 34 + 30.
Final addition and subtraction
Perform addition and subtraction left to right: 57 - 34 = 23, and 23 + 30 = 53.
A: 54 is incorrect as it results from miscalculating the order of operations; B: 55 is incorrect due to arithmetic error during the addition phase; C: 57 is incorrect and does not align with the BODMAS sequence results.
D is correct because following the BODMAS rule leads to 57 - 34 + 30, which equals 53.
Always convert symbols into operators first and scan for division or multiplication possibilities that result in whole numbers to speed up the process.
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