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

If  '+' stands for division, '×' stands for addition, '–' stands for multiplication, and '÷' stands for subtraction, which of the following is correct?

Option 1: 46 ÷ 6 × 4 – 5 + 3 = 75.5

Option 2: 46 × 6 – 4 + 5 ÷ 3 = 70.1

Option 3: 46 – 6 + 4 × 5 ÷ 3 = 71

Option 4: 46 × 6 ÷ 4 – 5 + 3 = 74

Correct Answer: 46 – 6 + 4 × 5 ÷ 3 = 71

Solution : Given:

'+' stands for division

'×' stands for addition

'–' stands for multiplication

'÷' stands for subtraction

Option first: 46 ÷ 6 × 4 – 5 + 3 = 75.5

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

46 – 6 + 4 × 5 ÷ 3

Solving this equation using the BODMAS rule, we get –

= 46 – 6 + 4 × 1.67

= 46 – 6 + 6.67

= 46.67 is not equal to 75.5

Option second: 46 × 6 – 4 + 5 ÷ 3 = 70.1

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

46 + 6 × 4 ÷ 5 – 3

Solving this equation using the BODMAS rule, we get –

= 46 + 6 × 0.8 – 3

= 46 + 4.8 – 3

= 47.8 is not equal to 70.1

Option third: 46 – 6 + 4 × 5 ÷ 3 = 71

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

46 × 6 ÷ 4 + 5 – 3

Solving this equation using the BODMAS rule, we get –

= 46 × 1.5 + 5 – 3

= 69 + 5 – 3

= 71

Option fourth: 46 × 6 ÷ 4 – 5 + 3 = 74

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

46 + 6 – 4 × 5 ÷ 3

Solving this equation using the BODMAS rule, we get –

= 46 + 6 – 4 × 5 ÷ 3

= 46 + 6 – 6.67

= 45.33 is not equal to 74

Hence, option third is correct.