Question

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

$[\{(23 \times 15) - (1 \div 4)\} + (2 - 2)] \div 2$

• A. 8
• B. 4
• C. 6
• D. 10

Answer 1

Answer:

C. 6

The value of the expression is 6.

* + becomes ÷

* - becomes +

* × becomes -

* ÷ becomes ×

## 1. Substituting the signs into the expression:

* Original: [{ (23 × 15) - (1 ÷ 4) } + (2 - 2)] ÷ 2

* Decoded: [{ (23 - 15) + (1 × 4) } ÷ (2 + 2)] × 2

## 2. Solving using BODMAS rules:

* Step 1: Solve the small innermost brackets first:

* (23 - 15) = 8

* (1 × 4) = 4

* (2 + 2) = 4

* The expression now looks like: [{ 8 + 4 } ÷ 4] × 2

* Step 2: Solve the curly braces:

* { 8 + 4 } = 12

* The expression now looks like: [12 ÷ 4] × 2

* Step 3: Solve the square brackets:

* [12 ÷ 4] = 3

* Step 4: Final multiplication outside the brackets:

* 3 × 2 = 6