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If the mathematical operators -, +, xx a...

If the mathematical operators `-, +, xx` and `-:` are represented by G, P, U and S respectively, then find the value of
48 S 8 P 7 U 2 G 21

A

0

B

`-1`

C

20

D

`-21`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 48 S 8 P 7 U 2 G 21 \) using the given operators, we first need to replace the operators with their corresponding mathematical symbols: - \( S \) represents division \( (/) \) - \( P \) represents addition \( (+) \) - \( U \) represents multiplication \( (\times) \) - \( G \) represents subtraction \( (-) \) Now, we can rewrite the expression: \[ 48 S 8 P 7 U 2 G 21 \implies 48 / 8 + 7 \times 2 - 21 \] Next, we will follow the order of operations (also known as BODMAS/BIDMAS): 1. **Division** 2. **Multiplication** 3. **Addition** 4. **Subtraction** ### Step 1: Perform Division Calculate \( 48 / 8 \): \[ 48 / 8 = 6 \] ### Step 2: Perform Multiplication Now calculate \( 7 \times 2 \): \[ 7 \times 2 = 14 \] ### Step 3: Substitute Back into the Expression Now substitute these results back into the expression: \[ 6 + 14 - 21 \] ### Step 4: Perform Addition Calculate \( 6 + 14 \): \[ 6 + 14 = 20 \] ### Step 5: Perform Subtraction Now subtract \( 21 \) from \( 20 \): \[ 20 - 21 = -1 \] Thus, the final value of the expression \( 48 S 8 P 7 U 2 G 21 \) is: \[ \boxed{-1} \]
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