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If S' denote '+', 'D' denotes '-', 'Q' d...

If S' denote '+', 'D' denotes '-', 'Q' denotes '÷' and 'P denotes 'x', Then value of following equation is:
35Q7P5S5D6 = ?

A

22

B

24

C

26

D

28

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 35Q7P5S5D6 \) using the given notations, we will follow these steps: ### Step 1: Rewrite the equation using the given symbols - We know that: - \( S \) denotes \( + \) - \( D \) denotes \( - \) - \( Q \) denotes \( ÷ \) - \( P \) denotes \( × \) So, the equation \( 35Q7P5S5D6 \) can be rewritten as: \[ 35 ÷ 7 × 5 + 5 - 6 \] ### Step 2: Apply the BODMAS/BIDMAS rule According to the BODMAS/BIDMAS rule, we perform 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). Since there are no brackets or orders in our equation, we will start with division and multiplication. ### Step 3: Perform the division First, we calculate: \[ 35 ÷ 7 = 5 \] ### Step 4: Substitute back into the equation Now substitute this result back into the equation: \[ 5 × 5 + 5 - 6 \] ### Step 5: Perform the multiplication Next, we perform the multiplication: \[ 5 × 5 = 25 \] ### Step 6: Substitute back into the equation Now substitute this result back into the equation: \[ 25 + 5 - 6 \] ### Step 7: Perform the addition Now we perform the addition: \[ 25 + 5 = 30 \] ### Step 8: Perform the subtraction Finally, we perform the subtraction: \[ 30 - 6 = 24 \] ### Final Answer Thus, the value of the equation \( 35Q7P5S5D6 \) is: \[ \boxed{24} \]
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