Question :

Direction: In the following question you have to identify the correct response from the given premises stated according to the following symbols:

If '+' means '×', '–' means '÷', '×' means '+', and '÷' means '–', then which is the correct equation out of the following?

Option 1: 18 – 6 × 7 ÷ 2 + 8 = 63

Option 2: 18 ÷ 6 + 4 – 2 ÷ 3 = 22

Option 3: 18 + 6 – 4 × 2 ÷ 3 = 26

 

Option 4: 18 × 6 – 4 + 7 × 8 = 47

Correct Answer: 18 + 6 – 4 × 2 ÷ 3 = 26

Solution : Given:

'+' means '×'

'–' means '÷'

'×' means '+'

'÷' means '–'

Option first: 18 – 6 × 7 ÷ 2 + 8 = 63

Now, replacing the symbols as per the code language given in the question, we get –

18 – 6 × 7 ÷ 2 + 8

Solving this equation using the BODMAS rule, we get –

= 18 – 6 × 3.5 + 8

= 18 – 21 + 8

= 5 is not equal to 63

Option second: 18 ÷ 6 + 4 – 2 ÷ 3 = 22

Now, replacing the symbols as per the code language given in the question, we get –

18 – 6 × 4 ÷ 2 – 3

Solving this equation using the BODMAS rule, we get –

= 18 – 6 × 2 – 3

= 18 – 12 – 3

= 3 is not equal to 22

Option third: 18 + 6 – 4 × 2 ÷ 3 = 26

Now, replacing the symbols as per the code language given in the question, we get –

18 × 6 ÷ 4 + 2 – 3

Solving this equation using the BODMAS rule, we get –

= 18 × 1.5 + 2 – 3

= 27 + 2 – 3

= 26

Option fourth: 18 × 6 – 4 + 7 × 8 = 47

Now, replacing the symbols as per the code language given in the question, we get –

18 + 6 ÷ 4 × 7 + 8

Solving this equation using the BODMAS rule, we get –

= 18 + 1.5 × 7 + 8

= 18 + 10.5 + 8

= 36.5 is not equal to 47

Hence, option third is correct.