If A is coded as -, B is coded as +, C is coded as * and D is coded as / then evaluate 8 A 1 B 11 C 12 D 4 C 5?
Correct answer: D. 172
- A. 173
- B. 174
- C. 182
- D. 172
- E. 162
Explanation
Let's first substitute the given codes for the letters: A = - B = + C = * D = / Now, let's evaluate the expression step by step using the BODMAS rule (also known as PEMDAS): 1. Perform calculations inside parentheses or brackets (B). 2. Perform calculations involving powers or exponents (O). 3. Perform multiplications and divisions from left to right (DM). 4. Perform additions and subtractions from left to right (AS). Expression: 8 A 1 B 11 C 12 D 4 C 5 Substituting the codes: 8 - 1 + 11 * 12 / 4 * 5 Now applying BODMAS: 1. Calculate multiplication and division: 8 - 1 + (11 * 12) / 4 * 5 8 - 1 + 132 / 4 * 5 2. Continue with multiplication and division: 8 - 1 + 33 * 5 8 - 1 + 165 3. Finally, perform additions and subtractions: 7 + 165 172 So, the result of the expression is 172.
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