Question

If '+' means '−', '−' means '÷', '×' means '+', and '÷' means '×', what will be the value of the following expression?

$[\{(6 \times 9) + (3 \div 2)\} - (7 + 4)] \div 2$

• A. 4
• B. 6
• C. 8
• D. 2

Answer 1

Answer:

B. 6

The correct value of the expression is 4.

1. Substitute the signs according to the given rules:

   • Change + to −

   • Change − to ÷

   • Change × to +

   • Change ÷ to ×

   The original expression:
   $[\{(6 \times 9) + (3 \div 2)\} - (7 + 4)] \div 2$ The newly substituted expression becomes:
   $[\{(6 + 9) - (3 \times 2)\} \div (7 - 4)] \times 2$

2. Solve using the BODMAS rule (from the inside out):

   • Innermost Parentheses ( ):

     • $(6 + 9) = 15$

     • $(3 \times 2) = 6$

     • $(7 - 4) = 3$

     The expression updates to: $[\{15 - 6\} \div 3] \times 2$

   • Curly Braces { }:

     • $\{15 - 6\} = 9$

     The expression updates to: $[9 \div 3] \times 2$

   • Square Brackets [ ]:

     • $[9 \div 3] = 3$

   • Final Multiplication:

     • $3 \times 2 = 6$