In a given mathematical code, let the addition symbol + represent multiplication, the multiplication symbol × represent subtraction, the subtraction symbol - represent division, and the division symbol ÷ represent addition. Evaluate the following mathematical expression under these rules:
Correct Answer :
25
Solution :
The correct option is 25.
To evaluate the given mathematical expression, we first need to substitute the mathematical symbols according to the rules defined in the code:
• The addition symbol + represents multiplication (×).
• The multiplication symbol × represents subtraction (-).
• The subtraction symbol - represents division (÷).
• The division symbol ÷ represents addition (+).
The original expression is:
Replacing the original operators with their new representations as per the given rules, we get the modified expression:
Now, we solve the modified expression step-by-step using the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction):
Step 1: Perform the Division
Divide 24 by 8:
So, the expression becomes:
Step 2: Perform the Multiplication
Multiply 6 by 4:
So, the expression becomes:
Step 3: Perform Addition and Subtraction
Add 24 and 4, then subtract 3:
Therefore, the value of the expression under the coded rules is 25.
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