Question 1 :
Which of the equation given below have graphs parallel to the X-axis and which ones have graphs parallel to the Y-axis?
Question 2 :
The number of values of z which satisfies both the equation $\left|x-1-i \right|=\sqrt{2}$ and $\left|x-1-i \right|={2}$, is
Question 3 :
Read the following statements carefully and select the correct option.<br/>Statement-I : The graph of the linear equation $x + 2y = 6$ passes through $(8, -1)$.<br/>Statement II : Every point which satisfies the linear equation is a solution of the equation.
Question 4 :
Draw the graph of each of the following liner equations in two variables
Question 5 :
The area of an equilateral triangle with side $2 \sqrt{3}$ cm is<br>
Question 6 :
Area of traingle ABC whose sides are 24m, 40m and 32m is-
Question 7 :
The sides of a triangle are $3$ cm, $4$ cm and $5$ cm. Its area is .......<br/>
Question 9 :
If a, b and c are the sides of a $\Delta$ le then
Question 10 :
Two plane figures are said to be congruent if they have_____.
Question 11 :
In $\Delta ABC$, if $\angle A = 50^{\circ}$ and $\angle B = 60^{\circ}$, then the greatest side is :<br>
Question 12 :
In $\Delta ABC$, if $\angle A = 35^{\circ}$ and $\angle B = 65^{\circ}$, then the longest side of the triangle is :<br>
Question 13 :
Ankita wants to prove $\Delta ABC\cong \Delta DEF$ using $SAS$. She knows $AB=DE$ and $AC=DF$. What additional piece of information does she need?
Question 14 :
In $\triangle ABC$ and $\triangle DEF$, $AB = FD$ and $\angle A = \angle D.$ The two triangles will be congruent by $SAS$ axiom, if:<br/>
Question 15 :
In $\Delta ABC, \angle A=100^{\circ}, \angle B=30^{\circ}$ and $\angle C= 50^{\circ}$,then<br/>
Question 16 :
Two sides of a triangle have lengths $7$ and $9$. Which of the following could not be the length of the third side?
Question 17 :
if ABC and DEF are congruent triangles such that $\angle A={ 47 }^{ \circ }\quad and\quad \angle E={ 83 }^{ \circ },\quad then\quad \angle C=$
Question 18 :
In a triangle ABC, AB=AC, BA is extended upto D, in such a manner that AC=AD is a circular measure of <BCD:
Question 19 :
The attendance of a class of $45$ boys for $10$ days is given as $40,42,30,35,45,44,41,38,44$ and $41$, then the mean attendance of a class is:
Question 20 :
A certain factory employed $600$ men and $400$ women and the average wage was Rs. $25.50$ per day. If a woman got Rs. $5$ less than a man, then what are their daily wages?
Question 21 :
A school has 20 teachers one of them retires at the age of 60 years and a new teacher replaces him this change reduces the average age of new teacher
Question 22 :
The average of $15$ numbers is $18$. The average of first $8$ is $19$ and that last $8$ is $17$, then the $8$th number is:
Question 23 :
2 men and 7 boys can do a piece of work in 14 days, 3 men and 8 boys can do the same work In 11 days. 8 men and 6 boys can do 3 times the amount of this work in ______.
Question 24 :
Mean of twenty observations is 15. If two observations 3 and 14 are replaced by 8 and 9 respectively, then the new mean will be<br>
Question 27 :
Kirti got married 6 years ago. Today her age is $1\dfrac {1}{4}$ times her age at the time of marriage. Her son's age is (1/10) times her age. Her son's age is _______.<span><br/></span>
Question 28 : Let, $n$ be an integer greater than $1$. Let, $a =$ the average (arithmetic mean) of the integers from $1$ to $n$ and let, $b =$ the average of the integers from $0$ to $n$. Which of the following could be true?<br/>1) $ a=b$<div>2) $ a<b$</div><div>3) $ a>b$</div>
Question 29 :
The average age of a group of persons going for a picnic is $16$ years. Twenty new persons with an average age of $15$ years join the group on the spot due to which their average becomes $15.5$ years. The number of persons initially going for the picnic is 
Question 31 :
In the first $10$ overs of a cricket game, the run rate was only $3.2$. What should be the run rate in the remaining $40$ overs to reach the target of $282$ runs?
Question 32 :
The average of five numbers is $27$. If one number is excluded, the average becomes $25$. The excluded number is:
Question 34 :
A cricketer whose bowling average is 12.4 runs per wicket, takes 5 wicket for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was : 
Question 35 :
The mean of $18, 24, 15, 2x + 1$ and $12$ is $21$, then the value of $x$ is:<br/>
Question 36 :
The mean of $8$ numbers is $25$, if each number is multiplied by $2$ the new mean will be:
Question 37 :
If the mean of the data $x, x+1, x+3, x+6$ is $\dfrac{15}{2}$, then the value of $x$ is:<br/>
Question 38 :
<span>If different values of variable $x$ are $9.8, 5.4, 3.7, 1.7, 1.8, 2.6, 2.8, 8.6, 10.5$ and $11.1$, find </span>the value of $\Sigma \left(x\, -\, \bar{x} \right )$.
