Question

If ‘-’ stands for addition, ‘+’ stands for subtraction, ‘$\div$’ stands for multiplication and ‘$\times$’ stands for division, then which one of the following equations is correct?

• A. $25 \times 5 \div 20 - 27 + 7 = 120$
• B. $25 + 5 \times 26 - 27 + 7 = 128$
• C. $25 + 5 - 20 + 27 \times 7 = 95$
• D. $25 - 5 + 20 \times 27 + 7 = 100$

Hint:

When operator symbols are redefined, rewrite the entire expression with their true meanings before solving.

Answer 1

The Correct Option is A

Step 1: Replace the symbols in option (A) according to the given code:
- ‘$\times$’ means division → $25 \times 5$ becomes $25 \div 5$.
- ‘$\div$’ means multiplication → $5 \div 20$ becomes $5 \times 20$.
- ‘-’ means addition → $20 - 27$ becomes $20 + 27$.
- ‘+’ means subtraction → $27 + 7$ becomes $27 - 7$.
Step 2: Option (A) original: \[ 25 \times 5 \div 20 - 27 + 7 \] After replacement: \[ 25 \div 5 \times 20 + 27 - 7 \] Step 3: Apply BODMAS:
$25 \div 5 = 5$
$5 \times 20 = 100$
$100 + 27 = 127$
$127 - 7 = 120$
Step 4: LHS = 120, which matches the RHS given in option (A). So this is correct.
Step 5: Therefore, option (A) is the correct equation.