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Areas Of Parallelograms And Triangles Quiz Question  Answer 

Two triangles on same base and are between same parallel lines have ____ .  Equal area 
In the figure given above, if the area of the triangle ABE = $${43 cm ^2}$$; find the area of the parallelogram ABEF. 
$${86\ cm ^2}$$ 
A rectangle and a rhombus are on the same base and between the same parallels. The ratio of their areas is :  $$1 : 1$$ 
If two triangles are on the same base and between the same parallels, then the ratio of their areas is : 
$$1 : 1$$ 
In the given figure, KL // AC // YZ. B and D are equidistant from AC. If $$5KL = YZ$$, find the ratio of areas of $$\Delta$$ BKL and $$\Delta$$ DYZ. 
1: 25 
D and E are the mid points of the sides AB and AC of a triangle ABC. Then in what ratio are the areas of the triangles ADE and ABC ? 
1 : 4 
Two parallelograms are on the same base and between the same parallels. The ratio of their areas is : 
$$1 : 1$$ 
From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is 
$$60 cm^2$$ 
If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of the parallelogram is: 
$$1 : 2$$ 
Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is : 
$$1 : 1$$ 
Circles Quiz Question  Answer 

In the above figure, $$\angle POR$$ is (there $$O$$ is centre of Circle) 
$$160^\circ$$ 
What is the sum of $$\angle{BAD}+\angle{BPR}+\angle{BCD}+\angle{BQR}$$ in the above figure? 
$$360^\circ$$ 
In the given figure, the value of $$x$$ and $$y$$ is: 
$$36^{\circ}$$, $$60^{\circ}$$ 
In the given figure, $$O$$ is the centre of the circle, $$\angle ACB=54^{\circ}$$ and $$BCE$$ is a straight line. Find $$x.$$ 
$$108^{\circ}$$ 
A set of points equidistant from a fixed point in a plane figure is called  circle 
In the given figure, $$\angle M = 75^{\circ}$$, then $$ \angle O $$ is equal to: 
$$105^{\circ}$$ 
Which of the following is a cyclic quadrilateral?  Trapezium 
If the length of the largest chord of a circle is $$17$$ cm, find the radius of a circle.  $$8.5$$ cm 
In fig. O is the centre of the circle. Determine $$\angle$$ AEC 
68$$^{\circ}$$ 
In the figure shown above, the radius $$OA$$ is equal to the chord $$AB$$. Then, what is $$\angle APB$$? 
$$30^{\circ}$$ 
Constructions Quiz Question  Answer 

For constructing a triangle when the base, one base angle and the difference between lengths of other two sides are given, the base length is equals to:  The given base length 
The first step in the process is:  $$2$$ 
You are asked to "construct" an angle whose measure is $$30^\circ$$. Which of the following methods would be considered as an acceptable construction?  Using a compass and straightedge, construct an equilateral triangle and then bisect one of its angles. 
Construct a $$\triangle ABC$$ in which $$AB= 5.4\ cm, \angle CAB= 45^{\circ}$$ and $$AC + BC= 9\ cm.$$Then, $$m\angle ACB$$ is:  $$75^o$$ 
Which of the following angles is possible to construct using a compass?  $$60^\circ$$ 
Which diagram below shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?  
For constructing a triangle whose perimeter and both base angles are given, the base length is equal to:  the length of the perimeter 
The last step in the process is:  $$2$$ 
The steps of construction of an $$\angle AOB=45^{o}$$ is given in jumbled order below: 1. Place compass on intersection point. Place ruler on start point and where arc intersects perpendicular line. Adjust compass width to reach start point. Construct a perpendicular line. Draw $$45$$ degree line. Draw an arc that intersects perpendicular line. The third step in process is: 
$$3$$ 
Each angle of equilateral triangle is $$ 60^\circ$$. The angles are bisected then each angle will be of:  $$30^o$$ 
Coordinate Geometry Quiz Question  Answer 

Which of the following points lies in $$III$$ quadrant?  $$(1, 3)$$ 
The point which lies on $$y$$axis and at a distance of $$2$$ units in negative direction of $$y$$axis is _____  $$(0, 2)$$ 
The sign of abscissa and ordinate of point in $$II$$ quadrant is  $$(, +)$$ 
In the graph, which point represents coordinates $$(2, 0)$$. 
$$R$$ 
Which of the following points lie on $$x$$axis?  $$(6, 0)$$ 
In which quadrant will point $$(2, 1)$$ lie?  $$IV$$ 
If the perpendicular distance of a point $$P$$ in a plane from $$x$$axis is $$2$$ units and from $$y$$axis is $$7$$ units, then its abscissa is:  $$7$$ 
What are the coordinates of $$Q$$? 
$$(0,3)$$ 
What are the coordinates of $$R$$? 
$$(2, 1)$$ 
What are the coordinates of $$S$$? 
$$(3,2)$$ 
Heron'S Formula Quiz Question  Answer 

The sides of a triangle are $$3$$ cm, $$4$$ cm and $$5$$ cm. Its area is ....... 
$$6 cm^2$$ 
State true or false: In $$\triangle ABC$$, $$AB= BC=CA=2a$$ and AD is perpendicular to side BC, the area of $$\triangle ABC= a^2\sqrt2$$. 
False 
Area of an equilateral triangle of side $$a$$ units can be calculated by using the formula : 
$$(sa)\sqrt{s(sa)}$$ 
The area of an equilateral triangle with side $$2 \sqrt{3}$$ cm is 
$$5.196 cm^2$$ 
The area of a triangle whose sides are 4 cm, 13 cm and 15 cm is  24 $$ \displaystyle cm^{2} $$ 
The sides of a triangle are $$4, 5$$ and $$6$$ cm. The area of the triangle is equal to  $$\displaystyle \frac{15}{4}\sqrt 7 cm^2$$ 
If the sides of triangle are doubled then is area  become four times 
Heron's formula is :  $$\Delta = \sqrt{s(sa)(sb)(sc)}$$, $$2s = a+b+c$$ 
Area of traingle ABC whose sides are 24m, 40m and 32m is  $$384{m}^{2}$$ 
The sides of a triangle are 5 cm, 12 cm and 13 cm. Then its area is 
$$0.003 m^2$$ 
Introduction To Euclid'S Geometry Quiz Question  Answer 

Things which are three times of the same thing are 
equal to each other 
Two intersecting lines cannot be parallel to the same line is stated in the form of :  an axiom 
Which Euclid's postulate led to the discovery of several other geometries while attempting to prove it using other postulates and axioms 
Fifth Postulate 
Euclid stated that if equals are subtracted from equals, the remainders are equals in the form of : 
an axiom 
John is of the same age as Mohan. Ram is also of the same age as Mohan. State the Euclid's axiom that illustrates the relative ages of John and Ram. 
First axiom 
Euclid's stated that all right angles are equal to each other in the form of : 
a postulate 
The things which are double of same thing are : 
equal 
Euclid's fifth postulate is 
if a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines if produced indefinitely, meet on that side on which the sum of angles is less than two right angles 
Euclidean geometry is valid only for curved surfaces. 
False 
Axioms are assumed 
universal truths in all branches of mathematics 
Linear Equations In Two Variable Quiz Question  Answer 

Which of the following equation represents a straight line which is parallel to the $$x$$axis and at a distance $$3$$ units below it? 
Any line parallel to $$x$$axis and at a distance of $$3$$ units below it is given by $$y = 3$$ 
State whether the given statement is true or false: The graph of a linear equation in two variables need not be a line. 
False 
The equation $$x = 7$$, in two variables, can be written as 
$$1. x + 0. y = 7$$ 
Two points with coordinates $$(2, 3)$$ and $$(2, 1)$$ lie on a line. Then $$(i)$$ the line is parallel to which axis? $$(ii)$$ Justify your answer. 
$$(i)$$ Parallel to $$y$$axis. $$(ii)$$ Since $$x$$coordinate of both the points is $$2$$, both points lie on the line $$x = 2$$ which is parallel to $$y$$axis. 
Age of $$x$$ exceeds the age of $$y$$ by 7yrs. This statement can be expressed as the linear equation as : 
$$x  y  7 = 0$$ 
How many linear equations in $$x$$ and $$y$$ can be satisfied by $$x = 1$$ and $$y = 2$$? 
Infinitely many 
State whether the given statement is true or false: Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation. 
False 
The condition that the equation $$ax + by + c = 0$$ represent a linear equation in two variables is : 
$$a \neq 0, b \neq 0$$ 
The linear equation $$x = 5$$ in two variables can be written as : 
$$1.x + 0. y + (  5) = 0$$ 
Linear equation in one variable is : 
$$3t + 5 = 9t 7$$ 
Lines And Angles Quiz Question  Answer 

At $$4:15$$, the angle formed between the two hands of a clock is: 
acute 
$$\angle ABC$$ in the following figure is a / an: 
reflex angle 
Two supplementary angles are in the ratio 4 :The angles are 
$$80^{\circ}, 100^{\circ}$$ 
The complement of $$(90^oa)$$ is :  $$a$$ 
In Fig, POQ is a line. The value of x is: 
$$20^0$$ 
Find the complement of the angle : $$\dfrac{1}{4}$$ of a right angle. 
$$67 \cdot 5^o$$ 
State true or false: The complement of the angle $$(150a+b)^o$$ is $$(a  b  60)^o$$. 
True 
Find the angle which is $$20^o$$ more than its supplement.  $$100$$ 
State if the following statement is true or false: An exterior angle of a triangle is equal to the sum of the two interior opposite angles. 
True 
If two angles are complementary of each other, then each angle is: 
an acute angle 
Number Systems Quiz Question  Answer 

State whether the statement is true (T) or false (F). If $$\dfrac{p}{q}$$ is a rational number, then $$p$$ cannot be equal to zero. 
False 
State whether the statement is true (T) or false (F). If $$\dfrac{x}{y}$$ is a rational number, then $$y$$ is always a whole number. 
False 
State true or false. Zero is the smallest rational number. 
False 
$$5^{0}=5$$  False 
If $$x$$ be any nonzero integer and $$m,n$$ be positive integers, then $$x^m \times x^n$$ is equal to 
$$x^{m+n}$$ 
If $$y$$ is any nonzero integer, then $$y^0$$ is equal to .... 
$$1$$ 
$$(2)^{0}=2$$  False 
$$(6)^{0}=1$$  False 
Find the positive rational number out of the following. 
$$\dfrac{20}{45}$$ 
State whether the following statement is true (T) or false (F): $$3^0 = (1000)^0$$. 
True 
Polynomials Quiz Question  Answer 

The degree of the polynomial $$2x1$$ is 
$$1$$ 
State true or false: $$3$$ is a zero of $$x+3$$ . 
False 
The degree of the polynomial $$p(x) = x^{3}9x+3x^{5}$$ is 
$$5$$ 
The degree of the polynomials $$p(y) = y^{3}, q(y) = (1y^{4})$$ are 
$$3,4$$ 
Find the zeroes of the polynomial in the following : $$p(x) = x  4$$. 
$$4$$ 
$$\sqrt 2$$ is a polynomial of degree 
$$0$$ 
$$3 $$ is a type of 
Constant Polynomial 
Degree of the polynomial $$p(x) = 10$$ is: 
$$0$$ 
Which is a binomial of degree $$20$$? 
$$x^{20}+1$$ 
If the degree of polynomial $$ p(y)$$ is $$a$$, then the maximum number of zeroes of $$p(y$$) would be:  $$a$$ 
Probability Quiz Question  Answer  

A die having six faces is tossed $$80$$ times and the data is as below:
Find $$P (1) $$. 
$$0.125$$  
There are $$40$$ students in a class and their results is presented as below :

$$0.75$$  
$$400$$ students of class $$X$$ of a school appeared in a test of $$100$$ marks in the subject of social
If the result card of a student he picked up at random, what is the probability that the student has secured more than $$50$$ marks. 
$$0.325$$  
A coin is tossed $$150$$ times and the outcomes are recorded. The frequency distribution of the outcomes $$H$$ (i.e, head) and $$T$$ (i.e, tail) is given below :
Find the value of $$P(H)$$, i.e, probability of getting a head in a single trial. 
None of these 

A die is thrown $$200$$ times and the outcomes $$1, 2, 3, 4, 5, 6$$ have frequencies as below:
Find the probabilities of getting a number more than $$1$$ and less than $$6$$ in a toss (trial). 
$$0.69$$  
There are $$500$$ packets in a large box and each packet contains $$4$$ electronic devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below:
If one packet is drawn from the box, what is the probability that all the four devices in the packet are without any fault? 
$$0.6$$  
In a shooting game, John shoots the balls $$20$$ times out of $$40$$ trials. What is the empirical probability of the shooting event? 
$$\dfrac{1}{2}$$  
Find probability of bag chosen out random contains more than $$5\ kg$$.  $$0.7$$  
There are $$40$$ students in a class and their results is presented as below :
If a student chosen at random out of the class, find the probability that the student has passed the examination. 
$$0.75$$  
What is the probability that there are $$5$$ Mondays in the month of February 2016?  $$\dfrac{1}{7}$$ 
Quadrilaterals Quiz Question  Answer 

Which of the following statements holds always?  Every parallelogram is a trapezium. 
State true or false: All squares are trapeziums. 
True 
The value of $$x$$ in the given diagram is ? 
$$140^{o}$$ 
Can all the four angles of a quadrilateral be obtuse angle? 
No 
All rhombuses are parallelograms? 
True 
State true or false: Square have four right angles. 
True 
If the diagonals AC and BD of a quadrilateral ABCD bisect each other, then ABCD is a : 
rhombus 
State 'True' or 'False': If two adjacent sides of a parallelogram are equal, it is a rhombus. 
True 
In a quadrilateral ABCD, $$\angle A + \angle C = 180^{\circ}$$ then $$\angle B + \angle D = $$  $$180^{\circ}$$ 
A quadrilateral has ______ diagonals. 
2 
Statistics Quiz Question  Answer 

If x is the average(arithmetic mean) of $$5$$ consecutive odd integers, what is the median of integers?  x 
If x and y are both prime numbers such that x < y < 50 , then the maximum possible range of the data 4,6,8, x,y,16 is  44 
Upper limit of class interval $$75  85$$ is:  $$85$$ 
Which two class has same frequency ?  $$1020$$ & $$4050$$ 
Which class has lowest frequency ?  $$010$$ 
The difference between upper and lower limit is called  class size 
The class mark of $$ 95100$$ is  $$97.5$$ 
In the class interval $$3040$$, $$30$$ is  Lower limit 
Data available in unorganized form is called  raw data 
Size of the class $$180  195$$ is  $$15$$ 
Surface Areas And Volumes Quiz Question  Answer 

The length of diagonal of a cube is $$15\sqrt { 2 } $$cm, then the length of its side is:  $$5\sqrt { 6 } $$ cm 
State whether the given statement is True or False. One cubic meter is equal to one litre. 
False 
The volume of a solid is the measurement of the portion of the space occupied by it. State True or False. 
True 
Find the volume and surface area of a sphere of radius $$4.2$$ cm. $$\displaystyle \left [ \pi =\frac{22}{7} \right ]$$ 
$$310.46 \,\text{cm}^3,\:221.76 \,\text{cm}^2$$ 
Find the volume of a sphere whose radius is $$7\ cm$$  $$1437\cfrac{1}{3}{cm}^{3}$$ 
The surface area of a cube of side is $$27\ \text{cm}$$ is:  $$4374{\ \mathrm{cm}}^{2}$$ 
The volume of a sphere of diameter $$d$$ is: 
$$\dfrac {\pi d^3}{6}$$ 
Curved surface area of hemisphere of diameter $$2 r$$ is : 
$$2\pi r^{2}$$ 
The ratio of the volumes of two spheres is $$8 : 27$$. The ratio of their radii is 
$$2 : 3$$ 
Volume of a cuboid whose $$l=3.5$$ m, $$b =2.5$$ m and $$h =1.5$$ m is 
$$13.125$$ cu m 
Triangles Quiz Question  Answer 

Two sides of a triangle are of lengths $$4$$ cm and $$1.5$$ cm. The length of the third side of the triangle cannot be 
$$5.8$$ cm 
The construction of a triangle $$ABC$$, given that $$BC =$$ $$6$$ cm, $$B =$$ $$45 ^{\circ}$$ is not possible when difference of $$AB$$ and $$AC$$ is equal to: 
$$6.9$$ cm 
In the above figure, if OA $$=$$ OB, OD $$=$$ OC then $$\Delta AOD \cong \Delta BOC$$ by congruence rule : 
$$SAS$$ 
In $$\Delta ABC\, \angle A=50^{\circ} $$and$$ \, \angle B=60^{\circ} $$. By arranging the sides of the triangle in ascending order, we get : 
$$BC < CA < AB$$ 
In $$\Delta ABC, \angle A=100^{\circ}, \angle B=30^{\circ}$$ and $$\angle C= 50^{\circ}$$,then 
$$AB>AC$$ 
In figure, if $$AB=AC$$ and $$AP=AQ$$, then by which congruence criterion $$\Delta PBC \cong \Delta QCB$$? 
$$SAS$$ 
$$Q$$ is a point on side RS of $$\Delta PSR$$ such that $$PQ =PR$$ then which of the following is correct: 
$$PS > PQ$$ 
If length of the largest side of a triangle is 12 cm then other two sides of triangle can be 
4.8 cm, 8.2 cm 
If $$AB = 1$$, then radius of the inscribed circle is: 
$$ \frac{1}{3}$$ 
$$\Delta ABC$$ is congruent of $$\Delta DEF$$, if 
$$AB = DE$$, $$AC = DF$$, $$\angle B =\angle E$$ 
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