Question

If '-' means multiplication, '×' means addition, '÷' means subtraction and '+' mean 'division', then which of the following equations is correct?
1. 8 - 3 ÷ 16 × 36 + 6 = 14 
2. 8 + 3 ÷ 16 × 36 - 6 = 14
3. 8 ÷ 3 - 16 + 36 × 6 = 14
4. 8 × 3 ÷ 16 + 36 - 6 = 14

Answer 1

Correct Answer - Option 1 : 8 - 3 ÷ 16 × 36 + 6 = 14 

Symbol	-	×	÷	+
Meaning	×	+	-	÷

1) 8 - 3 ÷ 16 × 36 + 6 = 14 

After changing the symbol by their meaning, we get:

L.H.S = 8 × 3 - 16 + 36 ÷ 6

= 24 – 16 + 6

= 30 – 16

= 14 = R.H.S

2) 8 + 3 ÷ 16 × 36 - 6 = 14

After changing the symbol by their meaning, we get:

L.H.S = 8 ÷ 3 - 16 + 36 × 6

= 2.67 – 16 + 216

= 218.27 – 16

= 202.27 ≠ R.H.S

3) 8 ÷ 3 - 16 + 36 × 6 = 14

After changing the symbol by their meaning, we get:

L.H.S = 8 - 3 × 16 ÷ 36 + 6

= 8 – 1.34 + 6

= 14 – 1.34

= 12.66 ≠ R.H.S

4) 8 × 3 ÷ 16 + 36 - 6 = 14

After changing the symbol by their meaning, we get:

L.H.S = 8 + 3 - 16 ÷ 36 × 6

= 8 + 3 – 2.64

= 11 – 2.64

= 8.36 ≠ R.H.S

Hence, ‘8 - 3 ÷ 16 × 36 + 6 = 14’ is the correct answer.