Question

If \( \times \) means \( + \), \( + \) means \( \div \), \( - \) means \( \times \), and \( \div \) means \( - \), then evaluate: 8 \( \times \) 7 \( - \) 8 \( + \) 40 \( \div \) 2.

• A. \( 3 \frac{8}{5} \)
• B. \( 7 \frac{2}{5} \)
• C. \( 2 \frac{7}{5} \)
• D. \( 8 \frac{3}{5} \)

Hint:

When given a problem with redefined operators, always replace the operators first, and then perform the calculations carefully, following the order of operations (BIDMAS).

Answer 1

The Correct Option is B

Step 1: Substitute the operations based on the given conditions.
The given operations are mapped as follows: \[ \times \rightarrow +, \quad + \rightarrow \div, \quad - \rightarrow \times, \quad \div \rightarrow -. \] Now, we can rewrite the expression with these changes: \[ 8 \times 7 - 8 + 40 \div 2 \rightarrow 8 + 7 \times 8 \div 40 - 2. \] Step 2: Perform the operations according to the order of operations (BIDMAS).
First, evaluate \( 7 \times 8 = 56 \), so the expression becomes: \[ 8 + 56 \div 40 - 2. \] Next, evaluate \( 56 \div 40 = 1.4 \), so the expression becomes: \[ 8 + 1.4 - 2. \] Finally, perform the addition and subtraction: \[ 8 + 1.4 = 9.4, \quad 9.4 - 2 = 7.4. \] Thus, the result is \( 7.4 \), which is equivalent to \( 7 \frac{2}{5} \) in mixed fraction form.