Explore topic-wise MCQs in 6th Class.

This section includes 1770 Mcqs, each offering curated multiple-choice questions to sharpen your 6th Class knowledge and support exam preparation. Choose a topic below to get started.

951.

If \[AB=(x+4)cm,\] \[CD=(2x+4)=12\] then value of\[AB+CD=\]?

A.  8 cm                          
B.  30 cm        
C.  20 cm            
D.  12 cm
Answer» D.  12 cm
952.

If two adjacent angles of a parallelogram are in the ratio 3 : 2, then the measure of the angles are

A. \[108{}^\circ \],\[72{}^\circ \]       
B.          \[72{}^\circ \], \[36{}^\circ \]
C. \[100{}^\circ \], \[80{}^\circ \]       
D.          \[144{}^\circ \], \[36{}^\circ \]
Answer» B.          \[72{}^\circ \], \[36{}^\circ \]
953.

The lengths of three sides of a triangle are known. In which of the cases given below, it is impossible toget a triangle?

A.  15cm, 12cm, 10cm
B.  3.6 cm, 4.3 cm, 5.7 cm
C.  17 cm, 12 cm, 6 cm
D.  2.3 cm 4.4 cm, 6.8 cm
Answer» E.
954.

Two non-intersecting circles, one lying inside another, are of diameters a and b, respectively. The minimum distance between their circumferences is c. The distance between their centres is:

A.  \[a-b-c\]         
B.           \[a+b-c\]
C.  \[\frac{1}{2}\,\left( a-b-c \right)\]      
D.           \[\frac{1}{2}\,(a-b)-c\]
Answer» E.
955.

Read the following statements and which one is true? (i) If in a triangle, two angles are equal to\[60{}^\circ \], then it is equilateral. (ii) If the angles of a triangle are in the ratio 1: 1 : 2 then it is a right angled isosceles triangle. (iii) If the angles of a triangle are in the ratio 1 : 2 : 3 then it is a right angled triangle.

A.  only (i) and (ii)
B.  only (ii) and (iii)
C.  only (i) and (iii)
D.  All three statements
Answer» E.
956.

Read the following statements and choose the best answer. (i) A square is a regular quadrilateral. (ii) A figure is said to be regular if its sides are equal in length and angles are equal in measures.

A.  (i) is true while (ii) is false.
B.  (i) is false while (ii) is true.
C.  Both (i) and (ii) are true.
D.  Both (i) and (ii) are false.
Answer» D.  Both (i) and (ii) are false.
957.

Which of the following has a greater measure? (i) an angle complementary to\[15{}^\circ \]. (ii) an angle supplementary to\[125{}^\circ \].

A.  (i)only
B.  (ii) only
C.  both (i) and (ii) are equal
D.  None of these
Answer» B.  (ii) only
958.

Read the given statement and choose the correct reasoning for the statement. "squares, rectangles, parallelograms are all quadrilaterals".

A.  All these are irregular shapes.
B.  All these have angles which are equal in measure.
C.  All these are four sided polygons made of line segments.
D.  All these are closed figures.
Answer» D.  All these are closed figures.
959.

Read the following statements and choose the best answer. (i) A square can be thought of as a special rectangle. (ii) A rectangle with all sides equal becomes a square.                                  

A.  (i) and (ii) are true and (ii) is correct explanation for (i).
B.  (i) is true and (ii) is false.
C.  (i) is false and (ii) is true.
D.  (i) and (ii) are true but (ii) is not true explanation for (i).
Answer» B.  (i) is true and (ii) is false.
960.

DIRECTIONS: Passage-3 Read the passage(s) given below and answer the questions that follow. Refer to the given figure and complete the paragraph by choosing correct option.   __(i)__ is the diameter of the circle. CD is a __(ii)__ of the circle. If the length of BF is 4 cm, then the length of AB will be __(iii)__. DAEBC is the __(iv)__ segment of the circle. Arc DCE is a major arc of the circle. Its corresponding minor arc is __(v)__.

A.  (i) EF; (ii) Radius; (iii) 16 cm; (iv) major; (v) DA
B.  (i) AB; (ii) Radius; (iii) 8 cm; (vi) minor; (v) DE
C.  (i) EF; (ii) Chord; (iii) 4 cm; (vi) major; (v) DAE
D.  (i) AB; (ii) Chord; (iii) 8 cm; (vi) major; (v) DAE
Answer» E.
961.

Greater length are measured with

A.  tape                           
B.  Scale          
C.  divider                       
D.  None of these
Answer» B.  Scale          
962.

If a quadrilateral with two pairs of adjacent sides equal but opposite sides are not equal then it is called

A.  parallelogram 
B.           square
C.  rectangle       
D.           kite
Answer» C.  rectangle       
963.

DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. \[\underset{\text{(i)}}{\mathop{\underline{\text{A}\,\text{prism}}}}\,\] is a solid whose \[\underset{\text{(ii)}}{\mathop{\underline{\text{vertcies}}}}\,\] is a polygon such as a \[\underset{\text{(iii)}}{\mathop{\underline{\text{triangle}}}}\,\] or a square. Its side faces are \[\underset{\text{(iv)}}{\mathop{\underline{\text{squares}}}}\,\] that have a common \[\underset{\text{(v)}}{\mathop{\underline{\text{sides}}}}\,\]. A pyramid is named according to the shape of its \[\underset{\text{(vi)}}{\mathop{\underline{\text{length}}}}\,\] A \[\underset{\text{(vii)}}{\mathop{\underline{\text{rectangular}}}}\,\] pyramid has four faces, six \[\underset{\text{(viii)}}{\mathop{\underline{\text{vertices}}}}\,\] and four \[\underset{\text{(ix)}}{\mathop{\underline{\text{edges}}}}\,\]. Choose the correct option to correct the underline words.

A.  (i)Prism (ii) base (iii) square (iv) triangles (v) base (vi) edges (vii) rectangular (viii) vertices (ix) vertex      
B. (i) Pyramid (ii) base (iii) rectangle (iv) triangles (v) vertex (vi) base (vii) triangular (viii) edges (ix) vertices
C. (i) cone (ii) length (iii) square (iv) cylinder (v) edges (vi) base (vii) triangular (viii) edges (ix) vertices
D. (i) cylinder (ii) base (iii) triangle (iv) vertex (v) base (vi) edges (vii) triangular (viii) vertices (ix) rectangle
Answer» C. (i) cone (ii) length (iii) square (iv) cylinder (v) edges (vi) base (vii) triangular (viii) edges (ix) vertices
964.

In a protractor, the mid-point of 0-180 line is called the ______ of the protractor.

A.  centre     
B.           radius
C.  chord             
D.           bisector
Answer» B.           radius
965.

The triangular shaped instruments in the geometrical box are called ________.

A.  protractor      
B.           Divider
C.  Compass       
D.  Set squares
Answer» E.
966.

Direction for question: In the adjoining figure, \[AB||CD,~\]\[l\]is a transversal,                         \[8x+y+z=\]

A. \[280{}^\circ \]
B.  \[160{}^\circ \]
C. \[180{}^\circ \]                     
D.  \[100{}^\circ \]
Answer» B.  \[160{}^\circ \]
967.

Read the figure carefully and answer the questions that follows. \[\Delta ABL\] and \[\Delta \,ALC\] are ____

A.  right angled triangles
B.  equilateral triangles
C.  isosceles triangles
D.  scalene triangles
Answer» B.  equilateral triangles
968.

Direction for question: In the adjoining figure, \[AB||CD,~\]\[l\]is a transversal,                         \[8x=\]

A. \[120{}^\circ \]                     
B. \[80{}^\circ \]
C. \[60{}^\circ \]                       
D.  \[90{}^\circ \]
Answer» C. \[60{}^\circ \]                       
969.

Read the figure carefully and answer the questions that follows. Which of the following is an isosceles triangle?

A.  \[\Delta ALD\]          
B.           \[\Delta ADC\]
C.  \[\Delta AEB\]          
D.           None of these
Answer» B.           \[\Delta ADC\]
970.

Using the given figure, match the following. Column -I        Column -II      \[{{a}_{1}}\] \[x{}^\circ =\_\_\_\_\] (p) \[120{}^\circ \] \[{{b}_{1}}\] \[y{}^\circ =\_\_\_\_\] (q) \[30{}^\circ \] \[{{c}_{1}}\] \[(x{}^\circ +t{}^\circ )=\_\_\_\_\] (r) \[50{}^\circ \] \[{{d}_{1}}\] \[(z-y){}^\circ =\_\_\_\_\] (s) \[170{}^\circ \] (t) \[10{}^\circ \]

A.  \[({{a}_{1}}-r),\,\,({{b}_{1}}-p),\,\,({{c}_{1}}-s),\,\,({{d}_{1}}-t)\]
B.  \[({{a}_{1}}-{{b}_{1}}),\,\,({{b}_{1}}-{{c}_{1}}),\,\,({{c}_{1}}-{{d}_{1}}),\,\,({{d}_{1}}-{{a}_{1}})\]
C.  \[({{a}_{1}}-p),\,\,({{b}_{1}}-r),\,\,({{c}_{1}}-t),\,\,({{d}_{1}}-s)\]
D.  None of these
Answer» B.  \[({{a}_{1}}-{{b}_{1}}),\,\,({{b}_{1}}-{{c}_{1}}),\,\,({{c}_{1}}-{{d}_{1}}),\,\,({{d}_{1}}-{{a}_{1}})\]
971.

Read the figure carefully and answer the questions that follows. \[\Delta ABC\] is a ____

A.  right angled triangle
B.  equilateral triangle
C.  isosceles triangle
D.  scalene triangle
Answer» C.  isosceles triangle
972.

A triangular prism looks like the shape of a

A.  triangle           
B.           Kaleidoscope
C.  tetrahedron    
D.          cone
Answer» C.  tetrahedron    
973.

Two adjacent angles on a straight line are\[x{}^\circ \]and\[(2x-27){}^\circ \]then \[x=\]?

A. \[57{}^\circ \]                       
B. \[69{}^\circ \]
C. \[77{}^\circ \]
D. \[87{}^\circ \]
Answer» C. \[77{}^\circ \]
974.

Direction: Comprehension Type: In the adjacent figure, Statement I: If two line segments \[\overleftrightarrow{AB}\] and \[\overleftrightarrow{CD}\] are equal in length, then they are said to be congruent and it is denoted by\[\overleftrightarrow{AB}\cong \overleftrightarrow{CD}\]. Statement II. If \[AB+BC=AC\] and \[AB=BC,\]then B is said to be the mid - point of AC.

A.  Both Statement -I and Statement - II are true.
B.  Both Statement -I and. Statement - II are false.
C.  Statement I is false. Statement II is true.
D.  Statement I is true, Statement II is false.
Answer» B.  Both Statement -I and. Statement - II are false.
975.

A triangular pyramid is known as a ___.

A.  tetrahedron    
B.          cuboid
C.  cube               
D.           prism
Answer» B.          cuboid
976.

A cuboid looks like a ____ box.

A.  square          
B.           cubical
C.  rectangular     
D.           triangular
Answer» D.           triangular
977.

A parallelogram has ____ line of symmetry

A.  8                    
B.           4
C.  2                    
D.           0
Answer» E.
978.

Direction: Comprehension Type: In the adjacent figure, The lines intersecting in C are _____

A. \[\overleftrightarrow{CD},\overleftrightarrow{EC},\overleftrightarrow{AC}\]           
B.  \[\overleftrightarrow{CD},\overleftrightarrow{AC},\overleftrightarrow{GC}\]
C. \[\overleftrightarrow{CD},\overleftrightarrow{AF},\overleftrightarrow{BE}\]            
D.  \[\overleftrightarrow{CD},\overleftrightarrow{AF},\overleftrightarrow{BD}\]
Answer» C. \[\overleftrightarrow{CD},\overleftrightarrow{AF},\overleftrightarrow{BE}\]            
979.

An isosceles triangle has ____ line of symmetry.

A.  8                    
B.           4
C.  2                    
D.           1
Answer» E.
980.

Which solid has the greatest number of faces.

A.  Cone                          
B.  Cylinder       
C.  Triangular prism        
D.  Cube
Answer» E.
981.

If a bicycle wheel has 36 spokes, then the angle between a pair of adjacent spokes is

A. \[10{}^\circ \]                       
B. \[15{}^\circ \]
C. \[20{}^\circ \]                       
D. \[12{}^\circ \]
Answer» B. \[15{}^\circ \]
982.

vertical angles are ____ right angles.

A.  always                       
B.  never
C.  sometimes     
D.  cannot say
Answer» D.  cannot say
983.

Parallel lines are____ intersecting lines.

A.  always           
B.           never
C.  sometimes     
D.           two
Answer» C.  sometimes     
984.

In a\[\Delta ABC,\] if \[2\angle A=3\] \[\angle B=6\angle C,\]determine \[\angle A=?\]

A. \[90{}^\circ \]                       
B. \[30{}^\circ \]
C. \[40{}^\circ \]                       
D. \[60{}^\circ \]
Answer» B. \[30{}^\circ \]
985.

A scalene triangle can ____ be a right triangle.

A.  always
B.  never
C.  sometimes
D.  not be determined
Answer» D.  not be determined
986.

C is the center of the circle, then\[\angle x+\angle y=?\]

A. \[90{}^\circ \]
B.  \[100{}^\circ \]
C. \[130{}^\circ \]
D.  \[45{}^\circ \]
Answer» B.  \[100{}^\circ \]
987.

How many lines can be drawn which are perpendicular to a given line and pass through a point lying on the line?

A.  one    
B.           two
C.  three             
D.           infinitely many
Answer» B.           two
988.

In the given figure \[AB||CD\] find x?                                  

A. \[60{}^\circ \]                       
B.  \[120{}^\circ \]
C. \[180{}^\circ \]                     
D. \[210{}^\circ \]
Answer» B.  \[120{}^\circ \]
989.

Which of the following is not helpful in practical Geometry?

A.  Set squares     
B.           Protractor
C.  The compasses          
D.  Scissor
Answer» E.
990.

In \[\Delta ABC,\] \[\angle A=30{}^\circ ,\]\[\angle C=120{}^\circ ,\]BE is parallel to BC and\[x{}^\circ =y{}^\circ ,x{}^\circ +y{}^\circ +z{}^\circ =?\]

A. \[180{}^\circ \]                                 
B.  \[210{}^\circ \]
C. \[150{}^\circ \]                                 
D.  \[90{}^\circ \]
Answer» B.  \[210{}^\circ \]
991.

Find the value of \[\angle a-\angle b\] in the adjoining figure.

A. \[50{}^\circ \]     
B.                       \[70{}^\circ \]
C. \[10{}^\circ \]                       
D.           \[60{}^\circ \]
Answer» C. \[10{}^\circ \]                       
992.

Which of the following measures can't be measures of three sides of a right angled triangle?

A.  15, 20 and 25
B.  15, 112 and 113
C.  9, 40 and 41
D.  7, 25 and 26
Answer» E.
993.

In the adjoining figure, AB || CD. Find the alternate angle to \[\angle BAC\]  

A.  \[\angle BAC\]
B.           \[\angle ACD\]
C.  \[\angle BCD\]
D.           \[\angle DCE\]
Answer» C.  \[\angle BCD\]
994.

Which of the following statement is true about the given figure?  

A.  It is an octagon.
B.  It is a regular polygon.
C.  It is a polygon.
D.  It is a quadrilateral.
Answer» D.  It is a quadrilateral.
995.

The number of line segment in the figure is

A.  8                                
B.  9           
C.  10                              
D.  12
Answer» D.  12
996.

If the measure of each angle of a regular polygon is \[60{}^\circ \], what is the name of the polygon?

A.  Quadrilateral             
B.  Hexagon
C.  Pentagon        
D.           Triangle
Answer» E.
997.

In the adjoining figure, AB is a diameter of a circle with center O also AB=____________

A. \[AO-OB\]                  
B.  \[AB-AO\]
C. \[AO+OB\]                
D.  \[AO\times OB\]
Answer» D.  \[AO\times OB\]
998.

In the adjoining figure line L || line M and line N is the transversal. Which of the following line is one of the pairs of alternative angles ?

A.  \[\angle a\,\And \angle e\]       
B.           \[\angle d\,\And \angle f\]
C.  \[\angle b\,\,\text{and}\,\angle f\]        
D.           \[\angle d\,\,\text{and}\,\angle e\]
Answer» C.  \[\angle b\,\,\text{and}\,\angle f\]        
999.

The longest chord of a circle is

A.  Tangent         
B.  Radius        
C.  Diameter                    
D.  None of these
Answer» D.  None of these
1000.

    Find the value of angle y in the above figure.

A. \[26{}^\circ \]  
B.           \[39{}^\circ \]
C. \[47{}^\circ \]                       
D.           \[53{}^\circ \]
Answer» B.           \[39{}^\circ \]