Question 1 :
The weights in kilogram of $9$ members in a school boxing team are $54, 59, x, 53, 73,49, 50, 58, 45$. If the average is $56$, then $x$ is:
Question 2 :
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 3 :
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 4 :
In a month of thirty days, a salesman sells an average of $48$ articles per day. If for the first fourteen day, what is his average sales per day for the remaining period of the month?
Question 5 :
Consider a chord $AB = 24cm$, of a circle with radius $r$. A line segment $OM = 5cm$ from the center O of the circle to AB, bisects AB into two equal parts.<br>Then what is the value of $r$?
Question 6 :
Read the statements given and identify the correct option.<br>(i) Every diameter of a circle is also a chord.<br>(ii) Every chord of a circle is also a diameter.<br>(iii) The centre of a circle is always in its interior.<br>
Question 7 :
The radius of the circle having end diameter is $(2 , 7) $ and $(5 , 3)$
Question 8 :
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 9 :
If the lines x + y = $\left | a \right |$ and ax y = 1 intersected in the first quadrant , then $a$ $\in$ ($a_0$ , $\infty$) where $a_0$ =
Question 11 :
The degree of the polynomial $5x^7 - 6x^5 + 7x - 6$ is
Question 13 :
<span>The angles of a quadrilateral are in the ratio 2: 4 : 5 : 7. What is the difference between the measures of its largest and smallest angles?</span><br><br><br><br>
Question 15 :
<span>A quadrilateral that is not a parallelogram but has exactly two equal opposite angles is:</span>
Question 16 :
The surface of a cube is $486$ square metres. Find its volume.
Question 17 :
Volume of a suitcase with clothes in it is ................... the volume of empty suitcase. (Both suitcases are of same size)
Question 20 :
A toy box can fit $36$ equal sized unit blocks in it. Then its volume is
Question 21 :
In an equilateral triangle, $3$ coins of radii $1$ unit each are kept so that they touch each other and also the sides of the triangle. Area of the triangle is?
Question 22 :
$ABCD$ is a parallelogram $AB=14\;cm,BC=18\;cm,AC=16\;cm$ then the length of the other diagonal.
Question 23 :
The perimeter of a triangle is $540$ m and its sides are in the ratio $12 : 25 : 17.$ Find the area of the triangle.<br/><br/>
Question 24 :
Using Heron's formula find the area of a quadrilateral whose sides are $3\ cm, 4\ cm, 4\ cm$, and $5\ cm$. The angle between the first two sides is $90^0$. <br/>
Question 25 :
<p>A traffic signal board, indicating 'SCHOOLAHEAD', is an equilateral triangle with side $a$. Find the area of the signal board, using Heron's formula. If its perimeter is $180 cm$, what will be the area of the signal board?</p>
Question 26 :
The triangular side - wall of a flyover have been used for advertisements, The sides of the walls are 122 m, 22m and 120 m. The advertisements requires rent of Rs 5000 per $\displaystyle m^{2}$ per year. A company hired one of its walls for 3 months. How much rent did it pay ?
Question 27 :
Use Heron's formula to find the area of a triangle of lengths $5, 7$ and $8$.
Question 28 :
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 29 :
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 30 :
The product of a non - zero rational number with an irrational number is always :<br>