If '@' means '×', '$' means '+', '*' means '÷', and '&' means '-', and then '@' is swapped with '$' (and vice versa) and '&' is swapped with '*' (and vice versa), then evaluate:
48 @ 8 $ 63 & 9 $ 3
Show answer & explanation
Correct answer: B
Explanation
Symbol Swap Mapping:
Original definitions: @ = ×, $ = +, * = ÷, & = −
Swapping @ with $:
- @ becomes +
- $ becomes ×
Swapping & with *:
- & becomes ÷
-
- becomes −
Expression Conversion:
Given expression: 48 @ 8 $ 63 & 9 $ 3
Replacing the symbols according to the swapped rules:
= 48 + 8 × 63 ÷ 9 × 3
Step-by-Step Evaluation (BODMAS Rule):
Step 1: Division
63 ÷ 9 = 7
Expression becomes: 48 + 8 × 7 × 3
Step 2: Multiplication
8 × 7 = 56
56 × 3 = 168
Expression becomes: 48 + 168
Step 3: Addition
48 + 168 = 216
Final Answer: 216