(A+B)∗(C∗D-E)∗F/G Evaluate Options .A B + C D * E - F G / * * A B + C D E * - F G / * * A B + C D * E - F G * / * None of these Q34 / 60

Step 1: Break Down the Problem

We need to evaluate the expression $(A+B) \cdot (C \cdot D - E) \cdot F / G$ and determine its correct representation among the given options.

Step 2: Relevant Concepts

To evaluate the expression, we will clearly define the operations:

• Parenthesis indicate operations that should be performed first.
• The order of operations (PEMDAS/BODMAS) specifies the sequence.

Step 3: Analysis and Detail

The expression can be broken down as follows:

1. Calculate $A + B$
2. Calculate $C \cdot D$
3. Subtract $E$ from the result of step 2 to get $C \cdot D - E$
4. Multiply the result of step 1 with the result of step 3
5. Multiply the previous result by $F$
6. Finally, divide by $G$

This leads us to the following postfix notation based on the order of operations:

• First, evaluate $A + B$ → A B +
• Then evaluate $C \cdot D$ → C D *
• Apply the subtraction of $E$ → C D * E -
• Combine these results → (A + B) * (C * D - E) translates to A B + C D * E - *
• Finally, multiply by $F$ → A B + C D * E - F *
• Divide by $G$ → A B + C D * E - F * G /

Step 4: Verify and Summarize

Now we can summarize the operations in postfix notation. The expressions follow the order of how operations were applied.

Final Answer

The correct representation is: A B + C D * E - F * G /

The correct option is: A B + C D * E - F G / * *