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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? 15 A 3 B 9 D 2 C 4=?
6
8
2
11
6
Replace letters with symbols and apply BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) to solve the equation.
Replace letters with symbols and apply BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) to solve the equation.
Symbol Replacement
Given: A = ÷, B = +, C = ×, D = -. The equation 15 A 3 B 9 D 2 C 4 becomes: 15 ÷ 3 + 9 - 2 × 4.
BODMAS Application
Perform Division first: 15 ÷ 3 = 5. Now we have 5 + 9 - 2 × 4. Next, perform Multiplication: 2 × 4 = 8. Now we have 5 + 9 - 8.
Final Arithmetic
Perform Addition: 5 + 9 = 14. Finally, perform Subtraction: 14 - 8 = 6.
B: 8 is incorrect; C: 2 is incorrect; D: 11 is incorrect. These values do not result from the standard BODMAS calculation applied to the sequence.
A is correct because applying BODMAS rules (Division, Multiplication, Addition, Subtraction) to 15 ÷ 3 + 9 - 2 × 4 results in 5 + 9 - 8 = 6.
Always perform division and multiplication before addition and subtraction; common errors occur when solving strictly from left to right without respecting operator precedence.
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