CTET 2 Math and Science 21 Jan 2024 Paper

Take Option 1:

$\angle \mathit{Q}={180}^{\circ }-\left({55}^{\circ }+{35}^{\circ }\right)={90}^{\circ }$
Which Contradicts the given statement that$△\mathit{P}\mathit{Q}\mathit{R}$can be an obtuse scalene triangle Option 1 is incorrect.
Take Option 2:
$\angle \mathit{R}={25}^{\circ },\angle \mathit{P}={55}^{\circ }$
$\angle \mathit{Q}={180}^{\circ }-\left({25}^{\circ }+{55}^{\circ }\right)={100}^{\circ }$
But side opposite to the smallest Angle is Largest which means PQ should be greater than 18 cm but PQ$=18\mathit{c}\mathit{m}$
Hence, Option 2 is incorrect.
Take Option 4:

$\angle \mathit{R}={65}^{\circ },\angle \mathit{P}={55}^{\circ }$
$\angle \mathit{Q}={180}^{\circ }-\left({65}^{\circ }+{55}^{\circ }\right)={60}^{\circ }$which Contradicts the statement that
$△\mathit{P}\mathit{Q}\mathit{R}$ can be an obtuse scalene triangle and also$\mathit{P}\mathit{Q}>18\mathit{c}\mathit{m}$Contradicts that side opposite to the Largest angle is smallest Hence, Option 4 is Incorrect.