Question 1 :
Let $A=\left\{ u,v,w,z \right\} ;B=\left\{ 3,5 \right\} $, then the number of relations from $A$ to $B$ is
Question 2 :
If R={$(x,y)/3x+2y=15$ and x,y $\displaystyle \epsilon $ N}, the range of the relation R is________
Question 3 :
The relation $R$ defined on the set $A=\left\{ 1,2,3,4,5 \right\} $ by $R=\left\{ \left( a,b \right) :\left| { a }^{ 2 }-{ b }^{ 2 } \right| <16 \right\} $, is not given by
Question 5 :
Is the set $H = \{t | t$ is a triangle having four sides$\}$ empty?
Question 7 :
State whether the following statement is true or false.<br>The set $\{x : x+8=8\}$ is the null set.<br>
Question 9 :
In a flight 50 people speak Hindi, 20 speak English and 10 speak both English and Hindi. The number of people who speak atleast one of the two languages is
Question 12 :
Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey ; 80 played cricket and basketball and 40 played cricket and hockey 24 player all the three games. The number of boys who did not play any game is
Question 21 :
If $a = \sin {170^ \circ } + \cos {170^ \circ }$, then
Question 23 :
If $\tan \theta  =  - \dfrac{1}{{\sqrt {10} }}$ and $\theta $ lies in the fourth quadrant,then $\cos \theta  = $
Question 24 :
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:
Question 25 :
If A lies in the second quadrant and $3 \tan A+4=0$, the value of $2 \cot A-5 \cos A+\sin A$ is equal to
Question 26 :
The argument of $\displaystyle \frac{(1 - i \sqrt 3)}{(1 + i \sqrt 3)}$ is
Question 27 :
$\displaystyle \frac{\displaystyle i^{4n + 3} + (-i)^{8n - 3}}{\displaystyle(i)^{12 n- 1} - i^{2 - 16 n}}, n \varepsilon N$ is equal to
Question 28 :
The value of $ \sum _{ k=0 }^{ n }{ (i^k + i^{k+1} ) } , $ where $ i^2 = -1 ,$ is equal to :
Question 29 :
The complex number $\dfrac{1+2i}{1-i}$ lies in which quadrant of the compiles plan