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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. \[39{}^\circ \] | |