Identify the correct response from the given premises stated according to following symbols : If '-' stands for division '+' stands for multiplication '÷' stands for subtraction '×' stands for addition Which one of the equations is correct?

Option 3 : 24 -12 + 12 ÷ 16 × 18 = 26

Decoding the giving information,

-	+	÷	×
Means
÷	×	-		+

 

Option 1: 18 + 14 - 24 × 12 ÷ 16 = 12

After changing the sign,

18 × 14 ÷ 24 + 12 - 16 = 12

Using the BODMAS rule,

18 × 0.583333 + 12 - 16 = 12

10.499994 + 12 - 16 = 12

22.499994 - 16 = 12 

22.499994 - 16 = 12

6.499994 ≠ 12

Option 2: 16 × 14 ​ - 24 ÷ 18 + 12  = -24

After changing the sign,

16 + 14 - 24 × 18 ÷ 12 = -24

Using the BODMAS rule,

16 + 14 - 24 × 1.5 = -24

16 + 14 - 36 = -24

30 - 36 = -24

-6 = -24

Option 3: 24 - 12 + 12 ÷ 16 × 18 = 26

After changing the sign,

24 ÷ 12 × 12 - 16 + 18 = 26

Using the BODMAS rule,

2 × 12 - 16 + 18 = 26

24 - 16 + 18 = 26

42 - 16 = 26

26 = 26

Option 4: 18 ÷ 16 + 12 × 18 ÷ 12 = 24

After changing the sign,

18 - 16 × 12 + 18 - 12 = 24

Using the BODMAS rule,

18 - 192 + 18 - 12 = 24

36 - 192 - 12 = 24

-168 = 24

Hence, the correct answer is "Option 3".