Question 4 : Ages of the employees of a company are given below. Find the mode.<br><table class="wysiwyg-table"><tbody><tr><td>Ages (in years)</td><td>22</td><td>23</td><td>25</td><td>19</td><td>21</td><td>27</td></tr><tr><td>Number of employees</td><td>14</td><td>19</td><td>17</td><td>27</td><td>12</td><td>15</td></tr></tbody></table>
Question 5 : A college teacher has the following absentee record of $50$ students of a class for the whole year. Find the median.<br><table class="wysiwyg-table"><tbody><tr><td>Number of days<br></td><td>$0-4$<br></td><td>$4-8$<br></td><td>$8-12$<br></td><td>$12-16$<br></td><td>$16-20$<br></td></tr><tr><td>Number of students<br></td><td>$10$<br></td><td>$18$<br></td><td>$9$<br></td><td>$1$<br></td><td>$12$<br></td></tr></tbody></table><br>
Question 6 : The table gives information about the number of goals scored by a basketball team in each match last season. Find the modal number of scores recorded.<br/><table class="wysiwyg-table" height="63" width="271"><tbody><tr><td>Number of goals<br/></td><td>$1$<br/></td><td>$2$<br/></td><td>$3$<br/></td><td>$4$<br/></td><td>$5$<br/></td><td>$6$<br/></td></tr><tr><td>Frequency<br/></td><td>$12$<br/></td><td>$10$<br/></td><td>$12$<br/></td><td>$14$<br/></td><td>$18$<br/></td><td>$16$<br/></td></tr></tbody></table>
Question 7 :
The median of the following items $25, 15, 23, 40, 27, 25, 23, 25$ and $20$ is
Question 8 :
The sum of $49$ consecutive integers is $7^5$. What is their median ?
Question 9 :
The median of an arranged series of $n$ even observations, will be
Question 13 :
The expression $21x^2 + ax + 21$ is to be factored into two linear prime binomial factors with integer coefficients. This can be done if a is:
Question 16 :
The length of a rectangular verandah is $3\:m$ more than its breadth. The numerical value of its area is equal to the numerical value of its perimeter. Taking $x$ as the breadth of the verandah, write an equation in $x$ that represents the above statement.
Question 17 :
The mentioned equation is in which form?<br/>$(y\, -\, 2)\, (y\, +\, 2)\, =\, 0$
Question 19 :
Check whether the given equation is a quadratic equation or not.<br/>$3{ x }^{ 2 }-4x+2=2{ x }^{ 2 }-2x+4$
Question 20 :
Before Robert Norman worked on 'Dip and Field Concept', his predecessor thought that the tendency of the magnetic needle to swing towards the poles was due to a point attractive. However, Norman showed with the help of experiment that nothing like point attractive exists. Instead, he argued that magnetic power lies is lodestone. Which one of the following is the problem on which Norman and others worked?
Question 21 :
Choose the best possible option.<br>$\displaystyle{ x }^{ 3 }-5x+2{ x }^{ 2 }+1=0$ is quadraticequation.<br>
Question 22 :
The sum of a number and its reciprocal is$ \displaystyle \frac{125}{22} $ The number is
Question 23 :
If $x^{2} + 10 x = 24,$ where $x>0$, then the value of $x + 5$ is
Question 25 :
In a rectangle the breadth is one unit less than the length and the area is $12$ sq.units. Find the length of the rectangle.
Question 26 :
The mentioned equation is in which form?$z\, -\, \cfrac{7}{z}\, =\, 4z\, +\, 5$
Question 27 :
Check whether the given equation is a quadratic equation or not.<br/>$2{ x }^{ 2 }-7x=0\quad $
Question 28 :
If $\displaystyle \frac{5x+6}{\left ( 2+x \right )\left ( 1-x \right )}=\frac{a}{2+x}+\frac{b}{1-x}$, then the values of a and b respectively are
Question 30 :
Find the quadratic equation in $x$, whose solutions are $3$ and $2$.
