Question

If '+' means 'Multiplication', '-' means 'Division', ' * ' means 'Addition' and ' I ' means 'Subtraction" then what is the value of
\(\frac{13 + (54 - 9)}{(17 \times9 + (18 - \frac{3}{4}))} ?\)

• A. 37
• B. 39
• C. 41
• D. 43

Answer 1

The Correct Option is D

Given Operations:

• '+' = Multiplication
• '-' = Division 
• '*' = Addition
• '/' = Subtraction

Expression:

The given mathematical expression is:

13 × (54 ÷ 9) − (17 + 9 × (18 ÷ 3 − 4))

Step-by-Step Calculation:

• First, simplify inside the parentheses:
  • \( \frac{54}{9} = 6 \) and \( \frac{18}{3} = 6 \), so:
  • \( 13 \times 6 - (17 + 9 \times (6 - 4)) \)
  • \( 13 \times 6 - (17 + 9 \times 2) \) (since \( 6 - 4 = 2 \))
  • \( 13 \times 6 - (17 + 18) \) (since \( 9 \times 2 = 18 \))
  • \( 13 \times 6 - 35 \) (since \( 17 + 18 = 35 \))
  • \( 78 - 35 = 43 \) (since \( 13 \times 6 = 78 \))

Final Answer:

Thus, the correct answer is (D) 43.