Question 1 :
State whether the following statement is True or False<br/>If $U=\left\{1,2,3,4,5,6,7\right\}$ and $A=\left\{5,6,7\right\}$, then $U$ is the subset of $A$.

Question 2 :
Given $P(A \cup B)=0.6, P(A\cap B)=0.2$, the probability of exactly one of the event occurs is

Question 4 :
State the following statement is True or FalseIf &#160;$E = \{x | 1 + 2x = 3x, x \in W\}$ &#160;then the set $E$ is &#160;not a singleton set.

Question 7 :
The value of ${\cos ^2}{45^ \circ } - {\sin ^2}{15^ \circ }$ is

Question 11 :
Change the following radian measure to degree measure:<br/>$\cfrac { 3\pi &#160;}{ 2 } $

Question 14 :
If $\theta$ is in the first quadrant and cos $\theta=\frac{3}{5}$, then the value of $\dfrac{5 tan \theta -4cosec \theta}{5 sec\theta-4cot \theta}$ is<br/><br/>

Question 15 :
If $ \displaystyle \sin \Theta +\cos \Theta =\sqrt{2,} and \Theta $ is actual , then $ \displaystyle \tan \Theta $ is equal to

Question 16 :
The approximate value of $\sin { { 31 }^{ o } } $ is

Question 17 :
If $\tan \theta&#160; =&#160; - \dfrac{1}{{\sqrt {10} }}$ and $\theta $ lies in the fourth quadrant,then $\cos \theta&#160; = $

Question 19 :
&#160;If $ p=\tan 1^{0}, q=\tan 1(in\ radians) $, then which of the following is true?<br/>

Question 22 :
If the angles of a triangle are in arithmetic progression such that $\sin (2A + B) =\dfrac 12$, then

Question 23 :
Given an isoceles triangle, whose one angle is $120^o C $ and radius of its incircle is $ \sqrt3 , $ then the area of the triangle in sq. units is :

Question 24 :
If&#160;$\displaystyle \alpha \, and\, \beta $ are angles in the first quadrant&#160;$\displaystyle \tan \alpha =\frac{1}{7},\sin \beta =\frac{1}{\sqrt{10}}$ then using the formula&#160;$\displaystyle \sin (A+B)=\sin A\cos B+\cos A\sin B$ one can find the value of&#160;$\displaystyle (\alpha +2\beta )$ to be&#160;

Question 25 :
If $\dfrac {\sin x}{\sin y}=\dfrac {1}{2},\dfrac {\cos x}{\cos y}=\dfrac {3}{2}$, where $x, y\in \left(0, \dfrac {\pi}{2} \right)$, then the value of $\tan (x+y)$ is equal to: