Question

If 'A' means +, 'B' means -, 'C' means ÷ and 'D' means X, then find the correct answer of the following: 18 A 12 C 6 D 2 B 5

• A. 15
• B. 17
• C. 25
• D. 27

Hint:

Always follow the order of operations to evaluate such expressions systematically.

Answer 1

The Correct Option is B

First, let's substitute the symbols with their corresponding operations:

Original expression: 18 A 12 C 6 D 2 B 5

After substitution: \(18 + 12 \div 6 \times 2 - 5\)

Now, we'll solve it step by step following the order of operations (PEMDAS/BODMAS):

1. Division: \(12 \div 6 = 2\)
2. Multiplication: \(2 \times 2 = 4\)
3. Addition: \(18 + 4 = 22\)
4. Subtraction: \(22 - 5 = 17\)

Final calculation:

\[ 18 + 12 \div 6 \times 2 - 5 = 18 + (12 \div 6) \times 2 - 5 = 18 + 2 \times 2 - 5 = 18 + 4 - 5 = 17 \]

Answer 2

Solution:
Given the codes:
- 'A' means + (addition)
- 'B' means - (subtraction)
- 'C' means ÷ (division)
- 'D' means × (multiplication)

The expression:
18 A 12 C 6 D 2 B 5
translates to:
18 + 12 ÷ 6 × 2 - 5

Step 1: Apply BODMAS / Order of operations:
Division and multiplication are done first, from left to right.

Calculate 12 ÷ 6 = 2
Then, 2 × 2 = 4

Step 2: Substitute back:
18 + 4 - 5

Step 3: Perform addition and subtraction from left to right:
18 + 4 = 22
22 - 5 = 17

Final Answer:
The result of the expression is 17.