Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following symbol.
If + stands for division, – stands for equal, × stands for addition, ÷ stands for greater than, = stands for less than, > stands for multiplication and < stands for subtraction, then which of the following alternatives is correct?
Option 1: 5 ÷ 2 × 1 = 3 + 4 > 1
Option 2: 5 > 2 × 1 – 3 > 4 < 1
Option 3: 5 × 2 < 1 – 3 < 4 × 1
Option 4: 5 < 2 × 1 ÷ 3 > 4 × 1
Correct Answer: 5 > 2 × 1 – 3 > 4 < 1
Solution :
Let's check the options –
First option:
5 ÷ 2 × 1 = 3 + 4 > 1
On replacing with symbols as directed, we get –
5 > 2 + 1 < 3 ÷ 4 × 1
5 > 3 < 0.75 (Since 3 is greater than 0.75, the equation is not satisfied.)
Second option:
5 > 2 × 1 – 3 > 4 < 1
On replacing with symbols as directed, we get –
5 × 2 + 1 = 3 × 4 – 1
L.H.S.→5 × 2 + 1 = 10 + 1 = 11
R.H.S.→3 × 4 – 1 = 12 – 1 = 11
L.H.S. = R.H.S.
Third option:
5 × 2 < 1 – 3 < 4 × 1
On replacing with symbols as directed, we get –
5 + 2 – 1 = 3 – 4 + 1
L.H.S.→5 + 2 – 1 = 7 – 1 = 6
R.H.S.→3 – 4 + 1 = 0
L.H.S. ≠ R.H.S.
Fourth option:
5 < 2 × 1 ÷ 3 > 4 × 1
On replacing with symbols as directed, we get –
5 – 2 + 1 > 3 × 4 + 1
L.H.S.→5 – 2 + 1 = 4
R.H.S.→3 × 4 + 1 = 12 + 1 = 13
Since L.H.S. is not greater than R.H.S., the equation is not satisfied.
Hence, the second option is correct.
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