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 '*', '–' stands for '#', '×' stands for '@', and '÷' stands for '%', then which of the following statements is correct?

Option 1: 256 %16 @ 5 # 28 = 52

Option 2: 256 # 16 % 5 # 28 = 120

Option 3: 256 @ 5 % 16 * 28 = 408

 

Option 4: 256 # 16 @ 5 % 28 = 80

Correct Answer: 256 %16 @ 5 # 28 = 52

Solution : Given:

'+' stands for '*'

'–' stands for '#'

'×' stands for '@'

'÷' stands for '%'

Option first: 256 %16 @ 5 # 28 = 52

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

256 ÷ 16 × 5 – 28

Solving this equation using the BODMAS rule, we get –

= 16 × 5 – 28

= 80 – 28

= 52

Option second: 256 # 16 % 5 # 28 = 120

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

256 – 16 ÷ 5 – 28

Solving this equation using the BODMAS rule, we get –

= 256 – 3.2 – 28

= 224.8 is not equal to 120

Option third: 256 @ 5 % 16 * 28 = 408

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

256 × 5 ÷ 16 + 28

Solving this equation using the BODMAS rule, we get –

= 256 × 0.3125 + 28

= 80 + 28

= 108 is not equal to 408

Option fourth: 256 # 16 @ 5 % 28 = 80

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

256 – 16 × 5 ÷ 28

Solving this equation using the BODMAS rule, we get –

= 256 – 16 × 0.178

= 256 – 2.848

= 253.152 is not equal to 80

Hence, option first is correct.