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.

201.

What is the average of the two middle rational numbers when \[\frac{4}{-9},\frac{-6}{9},\frac{5}{9},\frac{-7}{9},\frac{8}{9}\] and \[\frac{1}{9}\] are arranged in ascending order?

A.  \[\frac{1}{8}\]                                                  
B.                         \[\frac{2}{7}\]                  
C.                         \[\frac{-3}{7}\]                                
D.                         \[\frac{-1}{6}\]                
Answer» E.
202.

Simplify: \[\frac{3}{8}+\frac{7}{2}+\left( \frac{-3}{5} \right)+\frac{9}{8}+\left( \frac{-3}{2} \right)+\frac{6}{5}\].

A.  \[\frac{-2}{3}\]                                 
B.  \[\frac{-41}{10}\]     
C.         \[\frac{39}{5}\]                     
D.         \[\frac{41}{10}\]       
Answer» E.
203.

Which number is in the middle if  \[\frac{-1}{6},\frac{4}{9},\frac{6}{-7},\frac{2}{5}\] and \[\frac{-3}{4}\]arranged in descending order?

A.  \[\frac{2}{5}\]                                                  
B.                         \[\frac{4}{9}\]                  
C.                         \[\frac{-1}{6}\]                                
D.                         \[\frac{-6}{7}\]
Answer» D.                         \[\frac{-6}{7}\]
204.

What should be subtracted from \[\left( \frac{3}{4}-\frac{2}{3} \right)\]to get\[\frac{-1}{6}\]?

A.  \[-\frac{6}{13}\]                   
B.  \[\frac{1}{4}\]           
C.  \[\frac{2}{7}\]                       
D.         \[-\frac{1}{8}\]         
Answer» C.  \[\frac{2}{7}\]                       
205.

If \[\frac{(-3)}{x}=\frac{x}{(-27)},\]'what is the Positive value of y?

A.  \[-9\]                   
B.                         \[9\]                    
C.                         \[-81\]                               
D.                         \[8\]
Answer» C.                         \[-81\]                               
206.

Simplify : \[\left( \frac{3}{11}\times \frac{5}{6} \right)-\left( \frac{9}{12}\times \frac{4}{3} \right)+\left( \frac{5}{13}\times \frac{6}{15} \right)\]

A.  \[-\frac{177}{286}\] 
B.         \[-\frac{303}{40}\]   
C.         \[\frac{289}{492}\]   
D.         \[\frac{17}{24}\]       
Answer» B.         \[-\frac{303}{40}\]   
207.

Which among the following is a rational number equivalent to \[\frac{-5}{-3}\]?

A.  \[\frac{-25}{15}\]                           
B.                         \[\frac{25}{-15}\]                           
C.                         \[\frac{25}{15}\]                                             
D.                         \[\frac{-25}{30}\]                           
Answer» D.                         \[\frac{-25}{30}\]                           
208.

The rational number which is not lying between \[\frac{5}{16}\] and \[\frac{1}{2}\] is________.

A.  \[\frac{3}{8}\]                                   
B.  \[\frac{7}{16}\]                     
C.         \[\frac{1}{4}\]                       
D.         \[\frac{13}{32}\]       
Answer» D.         \[\frac{13}{32}\]       
209.

Subtract \[\frac{2}{3}\] from \[\frac{7}{8}\] .

A.  \[\frac{-5}{24}\]                              
B.                         \[\frac{5}{24}\]               
C.                         \[\frac{7}{16}\]                               
D.                         \[\frac{5}{16}\]
Answer» C.                         \[\frac{7}{16}\]                               
210.

Divide the sum of \[\frac{65}{12}\] and \[\frac{12}{7}\] by their difference.

A.  \[\frac{599}{311}\]               
B.  \[\frac{680}{216}\]               
C.  \[\frac{642}{133}\]               
D.  \[\frac{501}{301}\]               
Answer» B.  \[\frac{680}{216}\]               
211.

In the given figure, find the value of \[x\text{ }+\text{ }y\text{ }+\text{ }z.\]

A. \[270{}^\circ \]
B. \[300{}^\circ \]
C.      \[360{}^\circ \]
D.      \[180{}^\circ \]
Answer» D.      \[180{}^\circ \]
212.

In which of the following figures, do the diagonals bisect each other?

A.  Trapezium                 
B.  Parallelogram
C.  Rhombus                   
D.  Rectangle                   
Answer» E.
213.

The angles of a quadrilateral are in the ratio 6 : 7 : 8 : 9, then which of the following can be concluded?

A.  Exactly two angles are obtuse
B.  Two pairs of angles are supplementary
C.  Both A & B
D.  None of these
Answer» B.  Two pairs of angles are supplementary
214.

Find the number of sides of a regular polygon whose each exterior angle has a measure of \[60{}^\circ \].

A.  6        
B.       5       
C.       3                    
D.       4                    
Answer» B.       5       
215.

The angle sum of the interior angles of a n-sided polygon is \[2700{}^\circ \]. Find the value of n.

A. 12                   
B. 13                   
C.      15                   
D.      17
Answer» E.
216.

A rectangle in which the diagonals are perpendicular is called a _____

A.  Rhombus
B.  Square
C.  Both A & B                 
D.  None of these
Answer» B.  Square
217.

In the given figure, if FAUL is a parallelogram, find the value of \[x.\]

A. \[140{}^\circ \]
B.      \[120{}^\circ \]
C.      \[110{}^\circ \]
D.      \[130{}^\circ \]
Answer» D.      \[130{}^\circ \]
218.

In the adjoining figure, ABCD is a parallelogram and E, F are the centroids of \[\Delta \mathbf{ABC}\] and \[\Delta \mathbf{ACD}\] respectively, then EF equals:

A.  AE      
B.  BE      
C.  CE                              
D.  DE
Answer» B.  BE      
219.

In the adjoining figure, the value of x and y are: (If ABCD is parallelogram)

A.  \[{{5}^{{}^\circ }},{{4}^{{}^\circ }}\]
B.  \[{{3}^{{}^\circ }},{{4}^{{}^\circ }}\]        
C.  \[{{2}^{{}^\circ }},{{1}^{{}^\circ }}\]                   
D.  None of these
Answer» B.  \[{{3}^{{}^\circ }},{{4}^{{}^\circ }}\]        
220.

If the lengths of two diagonals of a rhombus are 12 cm and 16 cm, find the length of each side.

A.  10 cm                        
B.  14 cm            
C.       8 cm              
D.       6 cm  
Answer» B.  14 cm            
221.

In the given figure \[\mathbf{AE}=\mathbf{BC}\] and \[\mathbf{AE}\parallel \mathbf{BC}\] and the three sides AB, CD and ED are  equal in length. If \[\angle \mathbf{A}=\mathbf{10}{{\mathbf{5}}^{{}^\circ }}\], find measures of \[\angle \mathbf{BCD}:\]

A.  \[{{138}^{{}^\circ }}\]                                  
B.  \[{{165}^{{}^\circ }}\]
C.  \[{{88}^{{}^\circ }}\]                       
D.  None of these
Answer» C.  \[{{88}^{{}^\circ }}\]                       
222.

If the length of the diagonal of a square Is 20 cm, find its perimeter.

A. \[20\sqrt{2}\,cm\]                   
B. \[30\sqrt{2}\,cm\]       
C.      \[40\sqrt{2}\,cm\]           
D.     \[50\sqrt{2}\,cm\]                   
Answer» D.     \[50\sqrt{2}\,cm\]                   
223.

In the figure, ABCD is a parallelogram. Find the angles \['x'\]and\['y'\].

A. \[100{}^\circ ,\text{ }60{}^\circ \]
B. \[120{}^\circ ,\text{ }25{}^\circ \]
C.      \[130{}^\circ ,\text{ }50{}^\circ \]
D.      \[110{}^\circ ,\text{ }35{}^\circ \]
Answer» C.      \[130{}^\circ ,\text{ }50{}^\circ \]
224.

The sides QP and SR of quadrilateral PQRS are produced as shown in figure Also, \[(\mathbf{PQ}\parallel \mathbf{SR})\]. Then which of the following statements is correct?

A.  \[2{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}\]            
B.  \[{{x}^{{}^\circ }}+\frac{1}{2}{{y}^{{}^\circ }}=\frac{{{a}^{{}^\circ }}+{{b}^{{}^\circ }}}{2}\]
C.  \[{{x}^{{}^\circ }}+{{y}^{{}^\circ }}={{a}^{{}^\circ }}+{{b}^{{}^\circ }}\]     
D.  \[{{x}^{{}^\circ }}+{{a}^{{}^\circ }}={{y}^{{}^\circ }}+{{b}^{{}^\circ }}\]
Answer» D.  \[{{x}^{{}^\circ }}+{{a}^{{}^\circ }}={{y}^{{}^\circ }}+{{b}^{{}^\circ }}\]
225.

If each exterior angle of a regular polygon is \[36{}^\circ \] , find the number of its sides.

A.  12                              
B.  11                  
C.       10                  
D.       8                    
Answer» D.       8                    
226.

PQRS is a trapezium in which \[\mathbf{PS}\parallel \mathbf{QR}\] and \[\mathbf{PQ}=\mathbf{SR}=\mathbf{12}\]m, then the distance of PS from QR is:

A.  \[10\sqrt{2}m\]                         
B.  \[4\sqrt{2}m\]       
C.  \[5\sqrt{2}m\]                          
D.  \[6\sqrt{2}m\]
Answer» E.
227.

ABCD is a cyclic quadrilateral and 0 is the centre of the circle If \[\angle COD={{120}^{{}^\circ }}\]and \[\angle \mathbf{BAC}=\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\], then the value of \[\angle \mathbf{BCD}\] is equal to

A.  \[{{70}^{{}^\circ }}\]                       
B.  \[{{90}^{{}^\circ }}\]            
C.  \[{{60}^{{}^\circ }}\]   
D.  \[{{80}^{{}^\circ }}\]
Answer» D.  \[{{80}^{{}^\circ }}\]
228.

If the interior angle of a regular polygon is \[120{}^\circ \], find the number of its sides.

A.  3       
B.                   4       
C.       6                    
D.       5
Answer» D.       5
229.

If the angles of a quadrilateral are in the ratio 1: 2 : 3 : 4, find the angles.

A. \[36{}^\circ ,\text{ }72{}^\circ ,\text{ }108{}^\circ ,\text{ }144{}^\circ \]
B. \[50{}^\circ ,\text{ }40{}^\circ ,\text{ }80{}^\circ ,\text{ }190{}^\circ \]
C. \[60{}^\circ ,\text{ }70{}^\circ ,\text{ }200{}^\circ ,\text{ }30{}^\circ \]
D. \[120{}^\circ ,\text{ }40{}^\circ ,\text{ }130{}^\circ ,\text{ }70{}^\circ \]
Answer» B. \[50{}^\circ ,\text{ }40{}^\circ ,\text{ }80{}^\circ ,\text{ }190{}^\circ \]
230.

In figure, abcd is a quadrilateral in which \[AB\parallel CD\] find x and y.

A.  \[{{100}^{{}^\circ }},{{60}^{{}^\circ }}\]  
B.  \[{{90}^{{}^\circ }},{{50}^{{}^\circ }}\]
C.  \[{{110}^{{}^\circ }},{{70}^{{}^\circ }}\]               
D.  \[{{120}^{{}^\circ }},{{60}^{{}^\circ }}\]
Answer» B.  \[{{90}^{{}^\circ }},{{50}^{{}^\circ }}\]
231.

RENT is a rectangle. Its diagonals meet at O. Find x. If \[\mathbf{OR}=\mathbf{2x}+\mathbf{4}\]and \[\mathbf{OT}=\mathbf{3x}+\mathbf{l}\]

A.  3
B.  4        
C.  5                                
D.  6
Answer» B.  4        
232.

The measures of two adjacent angles of a parallelogram are in the ratio 3: 2. Find them.

A. \[100{}^\circ ,\text{ }80{}^\circ \]
B. \[115{}^\circ ,\text{ }75{}^\circ \]
C.      \[120{}^\circ ,\text{ }60{}^\circ \]
D.      \[108{}^\circ ,\text{ }72{}^\circ \]
Answer» E.
233.

RACE is a rhombus. Find OE and OR.

A.  5, 15                          
B.  3, 14              
C.  4, 12                                      
D.  2, 10              
Answer» C.  4, 12                                      
234.

The diagram shows a rhombus ABCD. Find the angles \['x'\] and V.

A. \[120{}^\circ ,\text{ }60{}^\circ \]
B. \[116{}^\circ ,\text{ }32{}^\circ \]
C. \[135{}^\circ ,\text{ }45{}^\circ \]
D.     \[148{}^\circ ,\text{ }42{}^\circ \]
Answer» B. \[116{}^\circ ,\text{ }32{}^\circ \]
235.

Diagonals of a parallelogram ____ each other.

A.  bisect     
B.  equal to
C.  perpendicular to       
D.  none of these
Answer» B.  equal to
236.

In trapezium ABCD, \[\overline{AB}\]is parallel to\[\overline{CD}.\]If \[\angle A={{50}^{o}},\angle B={{70}^{o}}.\] Find \[\angle C\]and \[\angle D.\]

A. \[110{}^\circ ,\text{ }70{}^\circ \]
B. \[135{}^\circ ,\text{ }45{}^\circ \]
C.      \[110{}^\circ ,\text{ }120{}^\circ \]
D.      \[150{}^\circ ,\text{ }130{}^\circ \]
Answer» D.      \[150{}^\circ ,\text{ }130{}^\circ \]
237.

The perimeter of a parallelogram is 30 cm. If the longer side measures 10 cm, what is the measure of the shorter side?

A.  3 cm                          
B.  4 cm              
C.       5 cm              
D.       6cm
Answer» D.       6cm
238.

Diagonals of a rectangle are: -

A.  equal to each other         
B.  not equal
C.  one is double of the other               
D.  none of these
Answer» B.  not equal
239.

Which of the following facts are correct about a polygon? (i) The number of sides of the polygon is 8 if the sum of interior angles is \[1080{}^\circ \]. (ii) The sum of all interior angles of a Heptagon is \[720{}^\circ \]. (iii) The sum of all exterior angles of a decagon is \[540{}^\circ \]. (iv)  The ratio of the measure of an angle of regular octagon to the measure of its exterior angle is 3:1.

A.  Only (i), (ii) and (iii)   
B.  Only (ii), (iii) and (iv)
C.  Only (i), (ii) and (iv)    
D.  All of these
Answer» D.  All of these
240.

The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq. cm. Find the length of the greater line segment if one is longer than the other by 2 cm.

A.  8 cm                          
B.  9cm   
C.       7cm               
D.       6cm
Answer» C.       7cm               
241.

In the given figure, ABCD is a parallelogram with AC = 14 cm and BD = 18 cm. If AC and BD intersect at O, find the respective values of OA and OB.

A.  7 cm, 9 cm          
B.  3.5 cm, 4.5 cm           
C.  3 cm, 5 cm      
D.      6 cm, 8 cm
Answer» B.  3.5 cm, 4.5 cm           
242.

The exterior angle of a regular polygon is \[\frac{1}{3}\] of its interior angle. Find the number of sides of the polygon.

A.  6                    
B.  7       
C.       8                    
D.       9                    
Answer» D.       9                    
243.

PQRS is a square, PR and SQ intersect at O. Then \[\angle \mathbf{POQ}\] is a

A.  Right angle 
B.  Straight line
C.  Reflex angle                 
D.  Complete angle
Answer» B.  Straight line
244.

The ratio of an interior angle to the exterior angle of a regular polygon is 5:1. Find the number of sides of polygon.

A.  13                  
B.  15                  
C.  12                  
D.       14
Answer» D.       14
245.

If PQRS is a parallelogram, then \[\angle \mathbf{P}-\angle R\] is equal to

A.  \[{{60}^{{}^\circ }}\]                       
B.  \[~{{90}^{{}^\circ }}\]            
C.  \[{{80}^{{}^\circ }}\]                                   
D.  \[{{0}^{{}^\circ }}\]
Answer» E.
246.

In the trapezium ABCD, the measure of \[\angle \mathbf{D}\] is

A.  \[{{55}^{{}^\circ }}\]                                   
B.  \[{{115}^{{}^\circ }}\]           
C.  \[{{135}^{{}^\circ }}\]                                  
D.  \[{{125}^{{}^\circ }}\]
Answer» E.
247.

ABCD is a parallelogram,\[\angle A\]is two thirds of\[\angle B.\]  Find \[\angle B.\]

A. \[72{}^\circ \]
B. \[36{}^\circ \]
C.      \[108{}^\circ \]
D.      \[78{}^\circ \]
Answer» D.      \[78{}^\circ \]
248.

In the given figure, ABCD is a parallelogram, \[AB=(2x+6)\text{ }cm,\text{ }DC=(3x-10)\text{ }cm,\text{ }AE=2y\text{ }cm\]and CE = 26 cm. Find the values of x and y.

A.  12, 15                        
B.  16, 13            
C.       17, 20            
D.       11, 14            
Answer» C.       17, 20            
249.

Which of the following is true about a polygon having interior angle less than \[180{}^\circ \]?

A.  Concave polygon   
B.  Regular polygon
C.                   Convex polygon         
D.  Not a polygon            
Answer» D.  Not a polygon            
250.

The figure shows a seven-sided polygon in which \[\angle AGF\]is \[120{}^\circ \]. The other interior angles are equal. Find \[\angle ABC.\]

A. \[130{}^\circ \]
B. \[140{}^\circ \]
C.      \[118{}^\circ \]
D.      \[120{}^\circ \]
Answer» B. \[140{}^\circ \]