Correct Answer  Option 3 :
x = y or the relationship between x and y cannot be established.
Calculation:
I: x^{2 }+ 6x – 247 = 0
⇒ x^{2} – 13x + 19x – 247 = 0
⇒ x × (x – 13) + 19× (x – 13) = 0
⇒ (x – 13) × (x + 19) = 0
⇒ x = (19), 13
II: y^{2} + 27y + 182 = 0
⇒ y^{2} +14y + 13y + 182 = 0
⇒ y × (y + 14) + 13 × (y + 14) = 0
⇒ (y + 13) × (y + 14) = 0
⇒ y = 14, 13
Comparison between x and y (via Tabulation):
Value of x

relation

Value of y

19

<

14

19

<

13

13

>

14

13

>

13

∴ x = y or the relationship between x and y cannot be established.