Question 1 :
The points $A(2a ,4a) , B(2a,6a)$ and$C(2a + \sqrt 3 a,5a)$ (when a>0) are vertices of

Question 2 :
Let a, b, c and d be non-zero numbers. If the point of intersection of the lines $4ax+2ay+c=0$and $5bx+2by+d=0$lies in the fourth quadrant and is equidistant from the two axes then

Question 5 :
If a number has a non-terminating and non-recurring decimal expansion, then it is.

Question 7 :
$\displaystyle \left ( 5^{\tfrac13}+5^{-\tfrac13} \right )\left ( 5^{\tfrac23}-1+5^{-\tfrac23} \right )=$ _____

Question 9 :
If the difference of the squares of two numbers is 45, the square of the smaller number is 4 times the larger number, then the numbers are

Question 11 :
Find the supplement of the angle :$\dfrac{2}{5}$ of a right angle

Question 13 :
The line parallel to the x-axis and passing through the intersection of the lines ax+2by+3b=0 and bx-2ay-3a=0, where $(a,b)$

Question 14 :
In $&#160;\bigtriangleup ABC\: and\: \bigtriangleup DEF, \angle B=\angle E =90^{\circ};AC=DF\: and\: BC=EF.$ <br/>Then,<br/>triangles are congruent.<br/><br/><br/>

Question 15 :
In a triangle ABC. The relation which is true for its sides is-

Question 16 :
The lengths of the sides of a&#160; triangle are in integers and its area is also an integer. One side is $21$ cm and the&#160; perimeter is $48$ cm, then the length of the shortest side is <br/>

Question 17 :
Find the area of the parallelogram with sides $10 cm$ and $12 cm$ and one of the diagonals as $14 cm. &#160;$

Question 18 :
The mean of $12$ &#160;observations is $14$. By an error one observation is registered as $ 24$ &#160;instead of $-24$. Find the actual mean.

Question 19 :
The mean marks of &#160;$100 $ students were found to be $ 40 $ .Later on it was discovered that a score of &#160;$53$ &#160;was misread as &#160;$83 $.The corrected corresponding to the corrected score is ;

Question 20 :
If the first and the second letters of the word MISJUDGEMENTS are interchanged with the last and the second last letters respectively, and similarly the third and the fourth letters are interchanged with the third and the fourth letters from the last respectively , and so on,then what will be the fifth letter to the right of the third letter from the left end?