Properties of Triangle — NDA Mathematics PYQs

Consider the following for the three (03) items that follow :
The sides of a triangle $ABC$ are $AB=3$ cm, $BC=5$ cm and $CA=7$ cm.

Consider the following statements :
I. The triangle is obtuse-angled triangle.
II. The sum of acute angles of the triangle is also acute.
Which of the statements given above is/are correct?

Consider the following for the three (03) items that follow :
The sides of a triangle $ABC$ are $AB=3$ cm, $BC=5$ cm and $CA=7$ cm.

What is $\angle B$ equal to?

Consider the following for the three (03) items that follow :
The sides of a triangle $ABC$ are $AB=3$ cm, $BC=5$ cm and $CA=7$ cm.

What is the area of the triangle?

Consider the following for the two (02) items that follow :
In a triangle $ABC$, two sides $BC$ and $CA$ are in the ratio $2:1$ and their opposite corresponding angles are in the ratio $3:1$.

One of the angles of the triangle is

Consider the following for the two (02) items that follow :
In a triangle $ABC$, two sides $BC$ and $CA$ are in the ratio $2:1$ and their opposite corresponding angles are in the ratio $3:1$.

Consider the following statements :
I. The triangle is right-angled.
II. One of the sides of the triangle is $\sqrt{3}$ times the other.
III. The angles $A$, $C$ and $B$ of the triangle are in AP.
Which of the statements given above is/are correct?