Question 2 :
Without actually dividing find which of the following are terminating decimals.

Question 5 :
State whether the given statement is True or False :<br/>$5-2\sqrt { 3 }&#160;$ is an irrational number.

Question 6 :
If$\displaystyle \alpha $ and<b></b>$\displaystyle \beta $ are the roots of $\displaystyle 4x^{2}+3x+7=0$ the value of$\displaystyle \frac{1}{\alpha ^{3}}+\frac{1}{\beta ^{3}}$ is

Question 7 :
Equation of a straight line passing through the point $(2,3)$ and inclined at an angle of $\tan^{-1}\dfrac{1}{2}$ with the line $y+2x=5$, is:

Question 8 :
Some&#160;students&#160;are&#160;divided&#160;into&#160;two&#160;groups&#160;A&#160;&amp;&#160;B.&#160;If $10$ students are sent from A to B, the&#160;number in each is the same.&#160;But if $20$ students are sent from B to A, the number in A is double&#160;the number in B. Find the number of students in each group A &amp; B.<br/>

Question 9 :
For what value of k does the system of equations$\displaystyle 2x+ky=11\:and\:5x-7y=5$ has no solution?

Question 10 :
The sum of $20$ terms of an A.P. whose nth term $\displaystyle&#160;4n-1$&#160;is :

Question 11 :
A pair of numerical coordinates is required to specify each point in a ......... plane.

Question 12 :
The coordinates of $A, B$ and $C$ are $(5, 5), (2, 1)$ and $(0, k)$ respectively. The value of $k$ that makes $\overline {AB} + \overline {BC}$ as small as possible is

Question 13 :
The point at which the two coordinate axes meet is called the

Question 14 :
Given the points $A(-1,3)$ and $B(4,9)$.Find the co-ordinates of the mid-point of $AB$

Question 15 :
Length of the median from B on AC where A (-1, 3), B (1, -1), C (5, 1) is

Question 16 :
If $x_1$ and $x_2$ are the roots of $3x^2 - 2x - 6 = 0$, then $x_1^2 + x_2^2$ is equal to

Question 17 :
If $a, b, c \in&#160; Q, $ then roots of $ax^2 + 2(a + b)x (3a + 2b) = 0$ are<br/>

Question 18 :
If $ \alpha \epsilon \left[ \frac { \pi&#160; }{ 2 } ,\pi&#160; \right]&#160;$ then the value of $\sqrt { 1+sin\alpha&#160; } -\sqrt { 1-sin\alpha&#160; }&#160;$ is equal to

Question 22 :
If the mean of the squares of first $n$ natural numbers is $105$, then the median of first $n$ natural numbers is

Question 23 :
If the odd in favour of an event are $4$ to $7$, find the probability of its no occurence.

Question 24 :
A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blueand 1 is black?