Question 1 :
If the probability of winning a game is $0.3$, then what is the probability of losing it?
Question 2 :
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue ?
Question 3 : <p>A student appears for tests, I, II and III. The student is successful if he passes in tests I, II or I, III. The probabilities of the student passing in tests I, II and III are respectively p, q and $\dfrac{1}{2}$. If the probability of the student to be successful is $\dfrac{1}{2}$ then<br/></p>
Question 5 :
Karishma and Reshma are playing Chess. The probability of Karishma winning is $0.59$. Then probability of Reshma winning the match is:
Question 6 :
Two dice are thrown. What is the probability that the sum of the two dice is greater than $3$?<br/>
Question 7 :
If $P (A \cup B) = \dfrac{2}{3} ,  P (A \cap B) = \dfrac{1}{6} $  and $ P(A) = \dfrac{1}{3}$ then -<br/>
Question 8 :
If A is any event in a sample space then P(A') is____
Question 9 :
The probabilities that three men hit a target are 1/6, 1/4 and 1/3. Each man shoots once at the target. What is the probability that exactly one of them hits the target?
Question 10 :
A set $A$ is containing $n$ elements. A subset $P$ of $A$ is chosen at random. The set is reconstructed by replacing the elements of $P$. A subset $Q$ of $A$ is again chosen at random. The probability that $P$ and $Q$ have no common elements is:
Question 11 :
The probability that a man will live $10$ more years, is $\dfrac { 1 }{ 4 }$ and the probability that his wife will live $10$ more years, is $\dfrac { 1 }{ 3 }$. Then, what is the probability that neither will be alive in $10$ years?
Question 12 :
The most general solution of  $tan\theta =-1 \,\,\ and \,\,\,\ cos\theta = \dfrac{1}{\sqrt{2}}$ is
Question 13 :
Value of $\theta (0 < \theta < 360^o )$ which satisfy the equation $ \text{cosec }\theta +2 =0$ is:
Question 14 :
Let [x] be the greatest integar function. Then the equation sinx = [1+ sinx] + [1 - cosx] has
Question 15 :
If $(1 - \cos A)/2 = x$, then the value of $x$ is
Question 18 : <div>State whether the following statement is true or false:<br/></div>$cosec{20^ \circ }\sec {20^ \circ } = $
Question 19 :
The value of the expression $\dfrac { 1 - 4 \sin 10 ^ { \circ } \sin 70 ^ { \circ } } { 2 \sin 10 ^ { \circ } }$ is
Question 20 :
Find the principal and general solutions of the following equations : $\cot x = -\sqrt{3}$
Question 21 :
If $\sin^{2} x- \cos x=1/4$, then the value of $x$ between $0$ and $2\pi$ are :
Question 23 :
Find the smallest positive number p for which the equation $cos (p sin x) = sin (p cos x)$ has a solution $x \varepsilon [0, 2 \pi]$
Question 25 :
If $\cos x - \dfrac{{\cot x \sin x}}{2} = \dfrac{{\sqrt 3 }}{2}$, then the value of $\dfrac{x}{2}$ is:
Question 26 :
Equation of line parallel to x-axis and at a distance of $2$ units above the origin is:
Question 27 :
A value of $k$ such that the straight lines $y-3x+4=0$ and $(2k-1)x-(8k-1)y-6=0$ are perpendicular is
Question 28 :
Equation of the line perpendicular to $x-2y=1$ and passing through $(1,1)$ is
Question 30 : <span>Classify the following pair of lines as coincident, parallel or intersecting</span><div>$x + 2y + 1 = 0$ & $2x + 4y + 3 = 0$</div>
Question 31 :
If the inclination of a line is $45^\circ$, then the slope of the line is ?
Question 32 :
If a straight line $y=2x+k$ passes through the point $(1,2)$ then the value of $k$ is equal to:
Question 33 :
The diagonal passing through origin of a quadrilateral formed by $x=0, y=0, x+y=1 $ and $6x+y=3$ is
Question 34 :
Find the area of the triangle whose vertices are $(3,2), \ (-2, -3)$ and $(2,3)$.<br/>
Question 35 :
If points (h, k) $(1, 2)$ and $(-3, 4)$ lie on line $L_1$ and points (h, k) and $(4, 3)$ lie on $L_2$. If $L_2$ is perpendicular to $L_1$, then value of $\dfrac{h}{k}$ is?
Question 36 :
The point $A(1, 3)$ and $C(5, 1)$ are the oppositive vertices of rectangle. The equation of line passing through other two vertices and of gradient $2$, is ?<br/>
Question 37 :
The area of the triangle whose vertices are $A(1,1), B(7, 3)$ and $C(12, 2)$ is
Question 38 :
The area of the triangle formed by the points $(2, 6), (10, 0)$ and $(0, k)$ is zero square units. Find the value of $k.$
Question 39 :
Find the slope of the line parallel to the equation $4x - 2y = -1$<br/>
