Question 3 :
Apply the division algorithm to find the remainder on dividing $p(x) = x^4 -3x^2 + 4x + 5$ by $g(x)= x^2 +1 -x.$
Question 4 :
The product of the roots of the quadratic equation $2x^{2}-8x+3=0$ is
Question 5 :
If $(a, 3)$ is the point lying on the graph of the equation $5x\, +\, 2y\, =\, -4$, then find $a$.
Question 6 :
The unit digit of a number is $x$ and its tenth digit is $y$ then the number will be 
Question 7 :
Examine whether the point $(2, 5)$ lies on the graph of the equation $3x\, -\, y\, =\, 1$.
Question 8 :
Five tables and eight chairs cost Rs. $7350$; three tables and five chairs cost Rs. $4475$. The price of a table is
Question 10 :
For three irrational numbers $p,q$ and $r$ then $p.(q+r)$ can be
Question 11 :
................. states the possibility of the prime factorization of any natural number is unique. The numbers can be multiplied in any order.
Question 13 :
The sides of a triangle are given below. Check whether or not the sides form a right-angled triangle.$13cm, 12cm, 5cm$
Question 14 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $b$ when $c=13 \ cm$ and $a=5 \ cm$.
Question 15 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $a$ when $c=25 \ cm$ and $b=7 \ cm$.
Question 16 :
The sides of a triangle are given below. Check whether or not the sides form a right angled triangle.$50cm, 80cm, 100cm$
Question 17 :
$4\, RN^{2}\, =\, PQ^{2}\, +\, 4\, PR^{2}$<br/><b>State whether the above statement is true or false.</b><br/>
Question 18 :
A sector of a circle with sectorial angle of$\displaystyle 36^{\circ} $ has an area of 15.4 sq cm The length of the arc of the sector is
Question 20 :
If radius of a circle is increased to twice its original length, how much will the area of the circle increase ?
Question 21 :
The area of two circles are in the ratio $25 : 36$. Then the ratio of their circumference is _________.
Question 22 :
Which of the following is not a sector of a circle?<br/>
Question 23 :
$P$ is the point $(-5,3)$ and $Q$ is the point $(-5,m)$. If the length of the straight line $PQ$ is $8$ units, then the possible value of $m$ is:
Question 24 :
An isosceles triangle has vertices at (4,0), (-4,0), and (0,8) The length of the equal sides is
Question 25 :
$A=\left(2,-1\right), B=\left(4,3\right)$. If $AB$ is extended to $C$ such that $AB=BC$, then $C=$
Question 26 :
If a point $P\left(\displaystyle\frac{23}{5}, \frac{33}{5}\right)$ divides line AB joining two points $A(3, 5)$ and $B(x, y)$ internally in ratio of $2:3$, then the values of x and y will be.
Question 27 :
The line $x+y=4$ divides the line joining the points $(-1,1)$ and $(5,7)$ in the ratio
Question 28 :
The value of $[\dfrac{\tan 30^{o}.\sin 60^{o}.\csc 30^{o}}{\sec 0^{o}.\cot 60^{o}.\cos 30^{o}}]^{4}$ is equal to
Question 30 :
The given expression is $\displaystyle \sin { \theta  } \cos { \left( { 90 }^{ o }-\theta  \right)  } +\cos { \theta  } \sin { \left( { 90 }^{ o }-\theta  \right)  } +4 $ equal to :<br/>
Question 35 :
Which of the following is equal to $\sin x \sec x$?
Question 36 :
If the probability of the occurrence of an event is P then what is the probability that the event doesn't occur.
Question 37 :
A bulb is taken out at random from a box of 600 electricbulbs that contains 12 defective bulbs. Then theprobability of a non-defective bulb is
Question 38 :
What is the maximum value of the probability of an event?
Question 40 :
The probability expressed as a percentage of a particular occurrence can never be
