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If 'gt' stands for '-' , '<' stands for...

If `'gt'` stands for '-' , `'<'` stands for '+' , '=' stands for 'x' and '@' stands for `'div'` then what will be the value of `27 gt 81` @ `9 lt 6`
A. 27
B. 33
C. 30
D.24

A

A

B

B

C

C

D

D

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will first translate the symbols into their respective mathematical operations based on the given definitions: 1. **Translation of Symbols**: - `'gt'` stands for `-` (minus) - `'<'` stands for `+` (plus) - `'='` stands for `x` (multiplication) - `'@'` stands for `div` (division) Given the expression: `27 gt 81 @ 9 lt 6` 2. **Replacing Symbols**: - Replace `gt` with `-` - Replace `@` with `div` - Replace `lt` with `+` This gives us the expression: \[ 27 - 81 \div 9 + 6 \] 3. **Applying BODMAS/BIDMAS Rules**: According to the BODMAS/BIDMAS rules, we will perform the operations in the following order: - Brackets - Orders (i.e., powers and roots, etc.) - Division and Multiplication (from left to right) - Addition and Subtraction (from left to right) 4. **Step 1: Division**: - Calculate \( 81 \div 9 \): \[ 81 \div 9 = 9 \] 5. **Step 2: Substitute Back into the Expression**: Now we substitute back into the expression: \[ 27 - 9 + 6 \] 6. **Step 3: Perform Addition and Subtraction**: - First, perform the subtraction: \[ 27 - 9 = 18 \] - Then, perform the addition: \[ 18 + 6 = 24 \] 7. **Final Result**: The final value is: \[ \text{Value} = 24 \] ### Answer: The correct answer is D. 24.
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