If A = $30^{0}$, B = $60^{0}$ and C = $135^{0}$, then what is the value of $sin^{3}A + cos^{3}B + tan^{3}C - 3sin A cos B tan C?$
1). 0
2). 1
3). 8
4). 9
What is the simplified value of cosec 2A + cot 2A?
1). sec A
2). $sec (\frac{A}{2})$
3). cot A
4). $cot^{2} A$
If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?
1). 0
2). 5
3). 4
4). 7
In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If $\angle PBR$ =$105^{0}$, then what is the value of $\angle PAR$ (in degrees)?
1). 60
2). 100
3). 105
4). 115
PQR is a right angled triangle in which $\angle R$ = $90^{0}$. If $RS\bot PQ$, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?
1). $\frac{12}{5}$
2). $\frac{36}{5}$
3). 5
4). 2.5