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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? 40 D 20 A 4 C 5 B 3 = ?
50
52
40
48
50
Apply BODMAS strictly: solve Division, then Multiplication, then Addition/Subtraction in sequence from left to right.
Apply BODMAS strictly: solve Division, then Multiplication, then Addition/Subtraction in sequence from left to right.
Substitute the symbols
Replace A with ÷, B with ×, C with +, and D with - in the expression 40 D 20 A 4 C 5 B 3. The new equation is 40 - 20 ÷ 4 + 5 × 3.
Solve using BODMAS
Perform division first: 20 ÷ 4 = 5. The equation becomes 40 - 5 + 5 × 3. Perform multiplication next: 5 × 3 = 15. The equation becomes 40 - 5 + 15.
Perform Addition and Subtraction
Solve from left to right: 40 - 5 = 35. Finally, 35 + 15 = 50.
B: 52 is incorrect because it implies an incorrect operational sequence skipping BODMAS order; C: 40 is incorrect due to miscalculation of the multiplication or addition phase; D: 48 is incorrect as it results from misinterpreting signs or grouping.
A is correct because applying the BODMAS sequence (40 - 20/4 + 5*3) simplifies to 40 - 5 + 15, which results in 50.
In symbol substitution questions, always write out the full expression before calculating to avoid missing a sign or misordering operations.