Question

If A denotes 'Addition', B denotes 'Multiplication', C denotes 'Subtraction' and D denotes 'division', then what will be the value of the following expression?
(45 D 9) B 5 A 8 B (7 A 3 C 6) C (28 D (4 D 4))

• A. 82
• B. 32
• C. 29
• D. 38

Hint:

Always rewrite the expression with symbols clearly before calculating to avoid confusing the letters (like B for multiplication and D for division).

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
This problem requires substituting letters with their respective mathematical operators and then simplifying using the BODMAS rule.

Step 2: Key Formula or Approach:
Replace: A $\rightarrow$ +, B $\rightarrow$ $\times$, C $\rightarrow$ $-$, D $\rightarrow$ $\div$. The expression: $(45 \div 9) \times 5 + 8 \times (7 + 3 - 6) - (28 \div (4 \div 4))$

Step 3: Detailed Explanation:
1. Solve innermost brackets: $(4 \div 4) = 1$ and $(7 + 3 - 6) = 4$. 2. Solve other brackets: $(45 \div 9) = 5$ and $(28 \div 1) = 28$. 3. Substitute values: $5 \times 5 + 8 \times 4 - 28$ 4. Multiplication: $25 + 32 - 28$ 5. Addition/Subtraction: $57 - 28 = 29$. (Note: Re-calculating carefully: $25 + 32 = 57$; $57 - 28 = 29$. If option D is marked 38, check if there's a typo in the provided options vs. calculation. Based on standard BODMAS, the result is 29).

Step 4: Final Answer:
The value of the expression is 29. (Matches Option C).