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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? 16 C 24 A 3 B 8 D 5=?
75
65
70
80
75
Replace letters with their defined symbols immediately and apply the BODMAS rule (Division first, then Multiplication, Addition, and Subtraction).
Replace letters with their defined symbols immediately and apply the BODMAS rule (Division first, then Multiplication, Addition, and Subtraction).
Substitution
Replace the letters with their corresponding operators: 16 C 24 A 3 B 8 D 5 becomes 16 + 24 / 3 * 8 - 5.
Application of BODMAS
Follow BODMAS (Division → Multiplication → Addition → Subtraction): First, 24 / 3 = 8. Now the expression is 16 + 8 * 8 - 5. Next, multiply: 8 * 8 = 64. Now the expression is 16 + 64 - 5.
Final Calculation
Perform Addition and Subtraction: 16 + 64 = 80, and 80 - 5 = 75.
B: 65 is incorrect as it fails to follow the correct BODMAS order. C: 70 is incorrect due to calculation error in addition/subtraction. D: 80 is incorrect as it represents an intermediate sum before final subtraction.
A is correct because substituting the given operators and solving using BODMAS (16 + 24 / 3 * 8 - 5) yields 16 + 8 * 8 - 5, which simplifies to 16 + 64 - 5 = 75.
Always ensure you perform the Division and Multiplication steps before moving to Addition and Subtraction to avoid common calculation errors.
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