Explore topic-wise MCQs in 8th Class.

This section includes 2318 Mcqs, each offering curated multiple-choice questions to sharpen your 8th Class knowledge and support exam preparation. Choose a topic below to get started.

951.

Which of the following statement (s) is/are true?

A. A parallelogram in which two adjacent angles are equal is a rectangle.
B. A quadrilateral in which both pairs of opposite angles are equal is parallelogram.
C. In a parallelogram the number of acute angles is zero (or) two
D. All the above
Answer» E.
952.

If ABCD is a parallelogram, then \[{{45}^{o}}\]

A.  \[{{60}^{o}}\]                   
B.  \[{{75}^{o}}\]
C.  \[\angle CAD={{50}^{o}}\]                      
D.  \[\angle BED={{120}^{o}}\]
Answer» C.  \[\angle CAD={{50}^{o}}\]                      
953.

Which of the following statement(s) is/are false?        

A. Two triangles having same area are congruent.     
B. If two sides and one angle of a triangle are equal to the corresponding two sides and the angle of another triangle, then the two triangles are congruent.      
C. If the hypotenuse of one right triangle is equal to the hypotenuse of another triangle, then the triangles are congruent.                                      
D. All the above          
Answer» E.
954.

Which of the following statements is true?             

A. Two line segments having the same length are congruent.                                  
B. Two squares having the same side length are congruent.
C. Two circles having the same radius are congruent.  
D. All the above                                 
Answer» E.
955.

In this figure, \[\angle ABC={{90}^{o}}\] is equal to

A.  \[\therefore \]                          
B.  \[\therefore \]
C.  \[{{25}^{o}}\]                                
D.  \[{{40}^{o}}\]
Answer» C.  \[{{25}^{o}}\]                                
956.

AB is a diameter of a circle with centre O and radius OD is perpendicular to AB. If C is any point on arc DB, then the measures of \[\angle 4=\angle 2\] and \[\angle 6=\angle 3\] will be

A.  \[\angle 1=\angle 2\]              
B.  \[\angle 3=\angle 5\]
C.  \[{{180}^{o}}\]          
D.  \[\angle 1+\angle 3={{180}^{o}}\]
Answer» D.  \[\angle 1+\angle 3={{180}^{o}}\]
957.

The interior angle of a regular polygon exceeds the exterior angle by\[\frac{AB}{BC}=\frac{PQ}{QR}\]. Then the number of sides in the polygon is

A. 12                               
B. 13
C. 14                               
D. 15
Answer» E.
958.

In the above figure, the measure of\[{{90}^{o}}\]is

A.  \[{{60}^{o}}\]                                
B.  \[{{45}^{o}}\]
C.  \[{{105}^{o}}\]                              
D.  \[\therefore \]
Answer» C.  \[{{105}^{o}}\]                              
959.

A quadrilateral in which both pairs of opposite sides are parallel is a...........

A. Square                        
B. rhombus
C. Rectangle                    
D. parallelogram
Answer» E.
960.

In the given figure \[{{270}^{o}}\], O is the centroid of \[{{60}^{o}}\] PQ = 5 cm and QR = 12 cm, then OQ is equal to:

A.  \[{{300}^{o}}\]                              
B.  \[{{240}^{o}}\]
C.  \[{{120}^{o}}\]                  
D.  \[{{120}^{o}}\]
Answer» C.  \[{{120}^{o}}\]                  
961.

The diagonals of a quadrilateral intersect at right angles and it has exactly one axis of symmetry. The quadrilateral is a:

A. Square                        
B. rhombus
C. Kite                   
D. None of these
Answer» D. None of these
962.

In the figure BD = DC and\[{{50}^{o}}\]. The value of \[{{85}^{o}}\]is:

A.  \[{{120}^{o}}\]                  
B.  \[{{360}^{o}}\]
C.  \[{{90}^{o}}\]                    
D.  \[{{90}^{o}}\]
Answer» D.  \[{{90}^{o}}\]
963.

In figure \[\angle P=\angle R={{100}^{o}}\] If \[\angle S={{75}^{o}}\] The ratio of the areas of \[\angle Q\] and the trapezium BCED is:

A. 3:5                              
B. 0.386111111111111
C. 6:9                              
D. None of these
Answer» C. 6:9                              
964.

From the given information in the figure. The value of \[{{55}^{o}}\]is:         

A.  \[{{108}^{o}},{{72}^{o}}\]                                           
B.  \[{{72}^{o}},{{36}^{o}}\]
C.  \[{{100}^{o}},{{80}^{o}}\]       
D.  \[{{144}^{o}},{{36}^{o}}\] 
Answer» D.  \[{{144}^{o}},{{36}^{o}}\] 
965.

If r = 2.5, AB = 3, OP = 4.5, find PB approximate to two places of decimal.

A. 2.53                
B. 2.72
C. 3.15                            
D. 2.75
Answer» B. 2.72
966.

Two parallel chords on the same side of the centre of a circle are 10 cm and 24 cm long and their distance apart is 7 cm. The radius of the circle is

A. 13cm        
B. 8cm
C. 5cm                            
D. 7cm
Answer» B. 8cm
967.

Consider the following statements:                     (1) The diagonals of a parallelogram are equal          (2) The diagonals of a rectangle are perendicular to each other                                             (3) If the diagonals of a quadrilateral intersect at right angles, it is not necessarily a rhombus.              (4) Every quadrilateral is either a trapezium or a parallelogram or a kite.                            Which of the above statements is/are correct?

A. Only 2                         
B. Only 3
C. Both 2 & 3                  
D. All of them
Answer» D. All of them
968.

In the below given figure, find\[\angle AOB\].

A.  \[{{10}^{o}}\]                    
B.  \[{{40}^{o}}\]                          
C.  \[{{50}^{o}}\]                    
D. None of these             
Answer» D. None of these             
969.

The magnitude of\[\angle ABC,\] if\[\angle AOC=120{}^\circ \]will be

A.  \[125{}^\circ \]                    
B.  \[\angle 1+\angle 2+\angle 3+\angle 4<\angle 5+\angle 6+\angle 7+\angle 8\]
C.  \[\angle 1+\angle 2+\angle 3+\angle 4>\angle 5+\angle 6+\angle 7+\angle 8\]                 
D.  \[AB=2x+5,\]
Answer» C.  \[\angle 1+\angle 2+\angle 3+\angle 4>\angle 5+\angle 6+\angle 7+\angle 8\]                 
970.

In \[\Delta PQR,\]\[PQ=PR,\]\[\angle QPR\]is equal to              

A.  \[20{}^\circ \]                   
B.  \[30{}^\circ \]
C.  \[40{}^\circ \]                      
D.  \[50{}^\circ \]
Answer» B.  \[30{}^\circ \]
971.

If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is

A. Isosceles                      
B. scalene
C. Equilateral           
D. right angled
Answer» D. right angled
972.

Each interior angle of a regular polygon of n sides \[{{120}^{o}}\] contains

A. 4n
B.  \[{{360}^{o}}\]right angles
C.  \[{{90}^{o}}\] right angles
D.  \[\frac{2(n-2)}{n}\]right angles
Answer» E.
973.

The sum of angles of a quadrilateral is

A.  \[180{}^\circ \]                    
B.  \[360{}^\circ \]
C.  \[270{}^\circ \]                                
D. none of these
Answer» C.  \[270{}^\circ \]                                
974.

The angle which is one fifth of its supplement is

A.  \[15{}^\circ \]                      
B.  \[30{}^\circ \]
C.  \[45{}^\circ \]                      
D.  \[60{}^\circ \]
Answer» C.  \[45{}^\circ \]                      
975.

The angle which exceeds its complement by \[20{}^\circ \]is

A.  \[45{}^\circ \]          
B.  \[55{}^\circ \]
C.  \[70{}^\circ \]                      
D.  \[110{}^\circ \]
Answer» B.  \[55{}^\circ \]
976.

The sum of the exterior angles of a hexagon is

A.  \[360{}^\circ \]           
B.  \[540{}^\circ \]
C.  \[720{}^\circ \]                    
D. none of these
Answer» B.  \[540{}^\circ \]
977.

In a parallelogram ABCD, diagonals AC and BD intersect at O. If AO = 5 cm, then AC =...........

A. 5cm               
B. 20cm
C. 10cm      
D. None of these
Answer» D. None of these
978.

In the following figure, HOPE is a parallelogram. Find the value of ?(x-y).

A.  7                    
B.         \[\frac{21}{2}\]          
C.  21                   
D.         14
E.  None of these
Answer» D.         14
979.

In the following figure, find the measure of m° where ABCD and PQRS are the parallelograms.

A.  \[46{}^\circ \]               
B.       \[34{}^\circ \]
C. \[62{}^\circ \]                 
D.         \[39{}^\circ \]
E.  None of these
Answer» B.       \[34{}^\circ \]
980.

Two adjacent angles of a parallelogram are \[(5x+1){}^\circ ~\]and \[(6x-8){}^\circ ~\]. The angles of the parallelogram are_____.

A.  \[86{}^\circ ,\text{ }94{}^\circ ,\text{ }86{}^\circ ,\text{ }94{}^\circ \]
B.         \[76{}^\circ ,\text{ }104{}^\circ ,\text{ }76{}^\circ ,\text{ }104{}^\circ \]
C.  \[84{}^\circ ,\text{ }96{}^\circ ,\text{ }84{}^\circ ,\text{ }96{}^\circ \]
D.         \[78{}^\circ ,\,\,{{120}^{o}},\text{ }78{}^\circ ,\text{ }102{}^\circ \]
E.  Name of these
Answer» B.         \[76{}^\circ ,\text{ }104{}^\circ ,\text{ }76{}^\circ ,\text{ }104{}^\circ \]
981.

In the shown figure, the bisectors of \[\angle P\]and \[\angle Q\] meet at a point T. If \[\angle r=116{}^\circ \] and \[\angle S=64{}^\circ \] then find the measure of\[\angle PTQ\].

A.  \[30{}^\circ \]             
B.         \[60{}^\circ \]
C.  \[80{}^\circ \]             
D.         \[90{}^\circ \]
E.  None of these
Answer» E.  None of these
982.

If PQRS is a parallelogram in which \[\angle SPO=40{}^\circ \], \[\angle OPQ=25{}^\circ \] and \[\angle SOR==75{}^\circ \], then which one of the following is incorrect?

A.  \[\angle QRO=40{}^\circ \]  
B.         \[\angle PQO=80{}^\circ \]
C.  \[\angle PSO=25{}^\circ ~\]
D.         \[\angle RQO=35{}^\circ \]
E.  None of these
Answer» D.         \[\angle RQO=35{}^\circ \]
983.

Two angles of a quadrilateral are of measure \[74{}^\circ \] and the other two angles are equal. What is the measure of equal angles?

A.  \[105{}^\circ \]                         
B.  \[106{}^\circ \]
C.  \[108{}^\circ \]                  
D.         \[112{}^\circ \]
E.  None of these
Answer» C.  \[108{}^\circ \]                  
984.

In the following figure diagonals of a rectangle PQRS meet at 0. If \[\angle QOR=64{}^\circ \], then find\[\angle OSP\].

A.  \[68{}^\circ \]                    
B.      58°
C.  \[62{}^\circ \]                    
D.        \[72{}^\circ \]
E.  None of these
Answer» C.  \[62{}^\circ \]                    
985.

Two adjacent angles of a parallelogram are \[(6x-~16{}^\circ )\]and\[\left( 7x\text{ }+\text{ }14{}^\circ  \right)\]. Find the angles of the parallelogram.

A.  \[75{}^\circ ,\text{ }105{}^\circ ,\text{ }75{}^\circ ,\text{ }105{}^\circ \]
B.         \[72{}^\circ ,\text{ }108{}^\circ ,\text{ }72{}^\circ ,\text{ }108{}^\circ \]            
C.  \[68{}^\circ ,\text{ }112{}^\circ ,\text{ }68{}^\circ ,\text{ }112{}^\circ \]
D.         \[58{}^\circ ,\text{ }122{}^\circ ,\text{ }58{}^\circ ,\text{ }122{}^\circ \]
E.               None of these
Answer» D.         \[58{}^\circ ,\text{ }122{}^\circ ,\text{ }58{}^\circ ,\text{ }122{}^\circ \]
986.

In a regular hexagon MNOPQR, determine the greatest angle of MNQ.

A.  \[30{}^\circ \]             
B.         \[60{}^\circ \]          
C.  \[90{}^\circ \]     
D.         \[120{}^\circ \]
E.  None of these
Answer» D.         \[120{}^\circ \]
987.

Determine the value of \[\angle A+\angle B+\angle C+\angle D+\angle E\]from the following figure.

A.  \[320{}^\circ \]           
B.         \[340{}^\circ \]         
C.  \[180{}^\circ \]  
D.         \[360{}^\circ \]
E.  None of these
Answer» D.         \[360{}^\circ \]
988.

The interior angle of a regular pentagon is three times the exterior angle of a regular ____

A.  heptagon            
B.         octagon
C.  nonagon                      
D.  decagon
E.  None of these
Answer» E.  None of these
989.

In the following figure. Find the value of m.

A.  \[121{}^\circ \]           
B.         \[131{}^\circ \]         
C.  \[125{}^\circ \]           
D.         \[135{}^\circ \]
E.  None of these
Answer» C.  \[125{}^\circ \]           
990.

Find the value of m in the following Figure.

A.  \[96{}^\circ \]             
B.         \[100{}^\circ \]         
C.  \[106{}^\circ \]       
D.         \[108{}^\circ \]
E.  None of these
Answer» D.         \[108{}^\circ \]
991.

In a parallelogram RISE if OI = 4 cm and RS is 6 cm more than El, then find RO. (See the shown figure)

A.  6 cm               
B.         7 cm       
C.  6.5 cm            
D.         7.5 cm
E.  None of these
Answer» C.  6.5 cm            
992.

One angle of a quadrilateral is \[116{}^\circ \] and the remaining three angles are in the ratio of\[1:2:1\]. Find the greatest angle of the quadrilateral.

A.  \[116{}^\circ \]           
B.         \[118{}^\circ \]
C.  \[122{}^\circ \]       
D.       \[132{}^\circ \]
E.  None of these
Answer» D.       \[132{}^\circ \]
993.

In the figure shown below, \[OS\bot ~OP,\text{ }OQ~\bot ~OT\]and OR is bisector of\[\angle SOQ\]. If \[\angle POT=48{}^\circ ,\]then find the measure of\[\angle ROS\].

A.  \[24{}^\circ \]             
B.         \[48{}^\circ \]
C.  \[42{}^\circ \]             
D.         \[34{}^\circ \]
E.  None of these
Answer» B.         \[48{}^\circ \]
994.

Which among the following digit has two lines of symmetry?

A.  6                        
B.     8
C.  9                         
D.         5
E.  None of these
Answer» C.  9                         
995.

The number of lines of symmetry for a parallelogram is _____

A.  4                    
B.         1           
C.  0      
D.         2
E.  None of these
Answer» D.         2
996.

In the following figure, \[PQ||TU\left| \text{ } \right|RS\] and\[PT\left| \text{ } \right|RQ\]. Find the value of x.

A. \[80{}^\circ \]              
B.        \[70{}^\circ \]          
C.  \[90{}^\circ \]             
D.         \[100{}^\circ \]
E.  None of these
Answer» E.  None of these
997.

The maximum number of obtuse angles in a quadrilateral can be ____

A.  4                    
B.         3      
C.  2                    
D.         1
E.  None of these
Answer» C.  2                    
998.

Which one among the following closed curve is not a polygon?

A.  IV                   
B.         III           
C.  II                    
D.         I
E.  None of these
Answer» B.         III           
999.

In the figure below, the measure of \[\angle \]A of the trapezium ABCD, is _____            

A.  \[105{}^\circ \]
B.         \[65{}^\circ \]
C.  \[55{}^\circ \]             
D.         \[115{}^\circ \]
E.  None of these
Answer» E.  None of these
1000.

In a quadrilateral if angles are arranged in ascending order then each next angle becomes twice the first. Find the least angle of the quadrilateral.

A.  \[28{}^\circ \]           
B.         \[24{}^\circ \]          
C.  \[30{}^\circ \]             
D.         \[36{}^\circ \]
E.  None of these
Answer» B.         \[24{}^\circ \]