Question 1 : If two sides of a triangle are 6 cm and 8 cm, then the length of the third side is

Question 2 : A square of side x is taken A rectangle is cut out from this square such that one side of the rectangle is half that of the square and the other is$\displaystyle \frac{1}{3}$ of the first side of the rectangle<br>What is the area of the remaining portion?

Question 3 : Find the area of a square inscribed in a circle of radius$\displaystyle 5\sqrt{2}$ cm (in$\displaystyle cm^{2}$)

Question 4 : In $\triangle ABC$ points $P$ and $Q$ trisect side $AB$ points $T$ and $U$ trisect side $AC$ and points $R$ and $S$ trisect side $BC$. Then perimeter of hexagon $PQRSTU$ is how many times of the perimeter of $\triangle ABC$?

Question 6 : Find the area of a triangle whose sides are 9 cm, 12 cm, and 15 cm.

Question 7 : If the difference of two supplementary angles is $40^{\circ}$, then the measurement of the greater angle is<br>

Question 11 : In $\Delta ABC\,,\,if\,\,A\,\,:\,\,B\,:\,\,C\, = \,1\,\,:\,\,5\,\,:\,\,6\,\,then$ find the value of $\sin A: \sin B: \sin C$

Question 12 : If the sum of $\displaystyle\frac{1}{3}$ and$\displaystyle\frac{1}{4}$is x times the difference of$\displaystyle\frac{1}{3}$ and$\displaystyle\frac{1}{4}$,then the value of x is equal to

Question 13 : Which point on the number line most likely represent $-2\cfrac { 5 }{ 8 } $?<br/>

Question 14 : The ratio of the first and second class train fares between two stations is $3 : 1$ and that of the numbers of passengers travelling between the two stations by first and second classes is $1 : 50$. If on a particular day, $Rs. 1,325$ are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is

Question 15 : Pizza was cut into 8 pieces. Annu ate one piece.What part of pizza was ate by Annu?

Question 16 : Evaluate the following:$ 0.8 \times \displaystyle \dfrac {\dfrac {7}{12}}{\dfrac {5}{24}} $.<br/>

Question 27 : The largest number which divides $245$ and $1029$ leaving remainder $5$ is<br>

Question 28 : If (x + a) is a factor of$\displaystyle x^{2}+px+q$ and$\displaystyle x^{2}+mx+n$ then the value of a is

Question 32 : Assertion: The function f(x) = cos x is symmetric about the line x=0 Reason: Every even function is symmetric about y-axis

Question 33 : For two objects to be symmetrical, they must be ofsame size and shape, with one object having a ___________ orientation from the first.

Question 34 : When working with symmetry, which image is called as pre-image ?

Question 35 : A figure is symmetrical about the line which divides the figure in _____ indentical parts

Question 37 : If $f(x)=\begin{Bmatrix}|x|, &amp;x\leq 1 \\2-x,&amp;x &gt; 1,\end{Bmatrix}$ then $fof(x)$ is equal to

Question 38 : The quadrilateral which has both line and rotational symmetry of order more than $2$ is _______.

Question 40 : What cross-sections do you get when you cut a brick horizontally?

Question 42 : How many Canadian dollars(CAD) can a trader buy with $400$ Indianrupees(IRP)?

Question 43 : Convert the following :<br>$27$ km $241$ m $319$ mm into $m$

Question 44 : Capacity of measuring flask is $1$ litre.What it will be in cubic centimeter $?$

Question 45 : Find the area of an equilateral triangle with side P cm.<br>Find the area of a triangle whose base is 12cm and height is $5\sqrt 2 cm.$

Question 46 : A closed box made of steel of uniform thickness has length breadth and height 12 dm, 10 sm and 8 dm respectively If the thickness of the steel sheet is 1 dm then the inner surface area is

Question 47 : Consider a rectangle of perimeter $24\ cm$ with sides $a$ and $b$. Then the total number of square grids formed in that rectangle is given by

Question 48 : The area of a rectangle of length (x + 2) units and breadth (x -8) units is

Question 50 : If the number of boys and the number of girls in a class are 45% and 55% respectively and it is represented in a pie chart what will be the central angles of the portions representing boys and girls respectively?

Question 51 : Which Of the following graphs shouldbe used to represent the percentage of boys and girls in a class.

Question 52 : In any pie chart the sum of the central angles is

Question 53 : If the monthly expenditure pattern of a person who earns a monthly salary of Rs. 15,000 is represented in a pie graph, then the sector angle of an item on transport expenses measures $15^o$. What is his monthly expenditure on transport?&#160;

Question 54 : Sapna found the following data in an almanac.<br><br><table class="wysiwyg-table"><tbody><tr><td>Crop</td><td>Area planted (in acres)</td></tr><tr><td>Wheat</td><td>$55,000$</td></tr><tr><td>Corn</td><td>$32,500$</td></tr><tr><td>Potatoes</td><td>$30,000$</td></tr><tr><td>Lettuce</td><td>$40,000$</td></tr><tr><td>Carrots</td><td>$22,500$</td></tr><tr><td>Total</td><td>$180,000$</td></tr></tbody></table><br>She needs to use it to make a circle graph. What is the best estimate of the number of degrees that shouldbe in the central angle of the section that represents wheat?

Question 55 : Complete the given series by finding the missing term.S &#160; &#160; &#160; &#160;C &#160; &#160; &#160; &#160; T &#160; &#160; &#160; &#160; &#160;B &#160; &#160; &#160; &#160; &#160;V &#160; &#160; &#160; &#160; &#160; A &#160; &#160; &#160; &#160; &#160;___ &#160; &#160; &#160; &#160; &#160; Z &#160; &#160; &#160; &#160; &#160; C

Question 56 : Rohit is seventeenth from the left end of row of 29 boys and Karan is seventeenth from the right end in the same row. How many boys are there between them in the row?

Question 57 : If natural number is multiplied by 18 and other by 21 and added the products. Which one of the following could be the sum.

Question 58 : Find the number which when multiplied by $15$ is increased by $136$.

Question 59 : How many rational numbers exist between any two distinct rational numbers?

Question 60 : On a scale of map $1.5 \,cm$ represents $24\, km$. If the distance between two points on the map is $76.5\, cm$, then the actual distance between these points is.

Question 61 : If a cellphone costs Rs.$999$. What is the cost of $12$ such cellphones?

Question 62 : Solve it&#160;<br/>$\dfrac {\left( {{{\left( {245 + 232} \right)}^2} - {{\left( {245 - 232} \right)}^2}} \right)}{\left( {245 + 232} \right)}$

Question 63 : $\frac {171\tfrac {3}{4}\times 171\tfrac {3}{4}-91\tfrac {3}{4}\times 91\tfrac {3}{4}}{171\tfrac {3}{4}+91\tfrac {3}{4}}$ is equal to

Question 64 : $\displaystyle 40- \frac { 1 }{ 2 }\times ........ = 1$

Question 70 : The value of $0.\bar { 1 } +0.0\bar { 1 } +0.00\bar { 1 } $ is equal to