{"id":12529,"date":"2025-09-18T06:52:47","date_gmt":"2025-09-18T05:52:47","guid":{"rendered":"https:\/\/mcqsadda.com\/?p=12529"},"modified":"2025-11-04T07:24:59","modified_gmt":"2025-11-04T07:24:59","slug":"geometry-top-100-mcqs-with-answer-and-explanation","status":"publish","type":"post","link":"https:\/\/mcqsadda.com\/index.php\/2025\/09\/18\/geometry-top-100-mcqs-with-answer-and-explanation\/","title":{"rendered":"Geometry Top 100 MCQs With Answer and Explanation"},"content":{"rendered":"\n

1. The sum of the interior angles of a triangle is:<\/mark>
<\/strong>a) 90\u00b0
b) 180\u00b0
c) 270\u00b0
d) 360\u00b0
Answer: <\/strong>b) 180\u00b0
Explanation:<\/strong> In Euclidean geometry, the interior angles of a triangle always add up to 180\u00b0.<\/p>\n\n\n\n

2. The sum of exterior angles of any polygon is always:<\/mark><\/strong>
a) 90\u00b0
b) 180\u00b0
c) 270\u00b0
d) 360\u00b0
Answer: <\/strong>d) 360\u00b0
Explanation:<\/strong> No matter how many sides, the sum of all exterior angles = 360\u00b0.<\/p>\n\n\n\n

3. In a right triangle, the side opposite the right angle is called:<\/mark><\/strong>
a) Base
b) Perpendicular
c) Hypotenuse
d) Median
Answer: <\/strong>c) Hypotenuse
Explanation:<\/strong> Hypotenuse is always the longest side in a right triangle.<\/p>\n\n\n\n

4. A polygon with 8 sides is called:<\/mark><\/strong>
a) Heptagon
b) Octagon
c) Nonagon
d) Decagon<\/p>\n\n\n\n

Answer: <\/strong>b) Octagon
Explanation:<\/strong> 8-sided polygon = Octagon.<\/p>\n\n\n\n

5. The sum of the interior angles of a quadrilateral is:<\/mark><\/strong>
a) 180\u00b0
b) 270\u00b0
c) 360\u00b0
d) 540\u00b0<\/p>\n\n\n\n

Answer:<\/strong> c) 360\u00b0
Explanation:<\/strong> For an n-sided polygon, sum = (n\u22122)\u00d7180\u00b0. For n=4 \u2192 360\u00b0.<\/p>\n\n\n\n

6. The number of diagonals in a hexagon is:<\/strong><\/mark>
a) 6
b) 7
c) 9
d) 12<\/p>\n\n\n\n

Answer: <\/strong>d) 9
Explanation:<\/strong> Formula: . For n=6, .<\/p>\n\n\n\n

7. If each interior angle of a regular polygon is 120\u00b0, the polygon is:<\/mark><\/strong>
a) Pentagon
b) Hexagon
c) Octagon
d) Decagon<\/p>\n\n\n\n

Answer: <\/strong>b) Hexagon
Explanation:<\/strong> Interior angle = . Solve for n = 6.<\/p>\n\n\n\n

8. The area of an equilateral triangle with side \u2018a\u2019 is:<\/mark><\/strong>
a)
b)
c)
d) <\/p>\n\n\n\n

Answer:<\/strong> c) <\/strong>
Explanation:<\/strong> Formula: .<\/p>\n\n\n\n

9. The angle in a semicircle is always:<\/mark><\/strong>
a) 30\u00b0
b) 45\u00b0
c) 60\u00b0
d) 90\u00b0<\/p>\n\n\n\n

Answer: <\/strong>d) 90\u00b0
Explanation:<\/strong> Angle subtended by diameter at circumference is a right angle.<\/p>\n\n\n\n

10. In a parallelogram, opposite sides are:<\/strong><\/mark>
a) Unequal
b) Equal and parallel
c) Equal but not parallel
d) Perpendicular<\/p>\n\n\n\n

Answer: <\/strong>b) Equal and parallel
Explanation:<\/strong> This is the defining property of a parallelogram.<\/p>\n\n\n\n

11. The diagonals of a rhombus:<\/mark><\/strong>
a) Are equal
b) Bisect each other at right angles
c) Are perpendicular bisectors
d) Both b and c<\/p>\n\n\n\n

Answer: <\/strong>d) Both b and c
Explanation:<\/strong> Diagonals of a rhombus bisect each other at right angles.<\/p>\n\n\n\n

12. If the radius of a circle is r, its area is:<\/strong><\/mark>
a)
b)
c)
d) <\/p>\n\n\n\n

Answer: b) <\/strong>
Explanation:<\/strong> Formula of circle\u2019s area.<\/p>\n\n\n\n

13. The perimeter of a rectangle with length l and breadth b is:<\/strong><\/mark>
a) l+b
b) 2(l+b)
c) lb
d) 2(lb)<\/p>\n\n\n\n

Answer: <\/strong>b) 2(l+b)
Explanation:<\/strong> Perimeter = 2\u00d7(length+breadth).<\/p>\n\n\n\n

14.The area of a square of diagonal d is:<\/mark><\/strong>
a)
b)
c)
d) <\/p>\n\n\n\n

Answer:<\/strong> b)
Explanation: <\/strong>Side = . Area = side\u00b2 = .<\/p>\n\n\n\n

15. The volume of a cube of side a is:<\/mark><\/strong>
a) a
b) a\u00b2
c) a\u00b3
d) 6a\u00b2<\/p>\n\n\n\n

Answer:<\/strong> c) a\u00b3
Explanation:<\/strong> Volume of cube = side\u00b3.<\/p>\n\n\n\n

16. The surface area of a sphere of radius r is:<\/mark><\/strong>
a)
b)
c)
d) <\/p>\n\n\n\n

Answer:<\/strong> c) <\/strong>
Explanation:<\/strong> Formula = 4\u03c0r\u00b2.<\/p>\n\n\n\n

17. The number of faces in a cube is:<\/mark><\/strong>
a) 4
b) 6
c) 8
d) 12<\/p>\n\n\n\n

Answer: <\/strong>b) 6
Explanation:<\/strong> Cube has 6 equal square faces.<\/p>\n\n\n\n

18. The line joining the center of a circle to a point on the circle is:<\/mark><\/strong>
a) Diameter
b) Radius
c) Chord
d) Secant<\/p>\n\n\n\n

Answer: <\/strong>b) Radius
Explanation:<\/strong> Distance from center to boundary = radius.<\/p>\n\n\n\n

19. The longest chord of a circle is:<\/strong><\/mark>
a) Radius
b) Diameter
c) Tangent
d) Secant<\/p>\n\n\n\n

Answer:<\/strong> b) Diameter
Explanation:<\/strong> Diameter = 2r, longest chord.<\/p>\n\n\n\n

20. If two sides of a triangle are equal, it is called:<\/mark><\/strong>
a) Scalene
b) Isosceles
c) Equilateral
d) Right triangle<\/p>\n\n\n\n

Answer: <\/strong>b) Isosceles
Explanation:<\/strong> Isosceles has 2 equal sides.<\/p>\n\n\n\n

21. If all sides and all angles are equal, the triangle is:<\/mark><\/strong>
a) Right
b) Scalene
c) Equilateral
d) Isosceles<\/p>\n\n\n\n

Answer: <\/strong>c) Equilateral
Explanation:<\/strong> All angles 60\u00b0 and all sides equal.<\/p>\n\n\n\n

22. A quadrilateral with one pair of parallel sides is called:<\/strong><\/mark>
a) Rhombus
b) Parallelogram
c) Trapezium
d) Kite<\/p>\n\n\n\n

Answer: <\/strong>c) Trapezium
Explanation:<\/strong> Only one pair parallel = trapezium.<\/p>\n\n\n\n

23. The height of an equilateral triangle of side a is:<\/strong><\/mark>
a) a
b)
c)
d) <\/p>\n\n\n\n

Answer: c) <\/strong>
Explanation:<\/strong> Height formula = \u221a3\/2 \u00d7 side.<\/p>\n\n\n\n

24. If the circumference of a circle is 2\u03c0r, its diameter is:
<\/mark><\/strong>a) r
b) 2r
c) \u03c0r
d) r\/2<\/p>\n\n\n\n

Answer: <\/strong>b) 2r
Explanation:<\/strong> Diameter = 2r.<\/p>\n\n\n\n

25. The sum of all angles in a pentagon is:
<\/mark><\/strong>a) 360\u00b0
b) 540\u00b0
c) 720\u00b0
d) 900\u00b0<\/p>\n\n\n\n

Answer: <\/strong>b) 540\u00b0
Explanation:<\/strong> (n\u22122)\u00d7180 = (5\u22122)\u00d7180 = 540\u00b0.<\/p>\n\n\n\n

26. The sum of the angles of a hexagon is:<\/strong><\/mark>
a) 540\u00b0
b) 600\u00b0
c) 720\u00b0
d) 900\u00b0<\/p>\n\n\n\n

Answer:<\/strong> c) 720\u00b0
Explanation:<\/strong> Formula = (n\u22122)\u00d7180. For n=6 \u2192 4\u00d7180 = 720\u00b0.<\/p>\n\n\n\n

27. The diagonal of a square of side 10 cm is:<\/mark><\/strong>
a) 10 cm
b) 15 cm
c) cm
d) 20 cm<\/p>\n\n\n\n

Answer: <\/strong>c) cm
Explanation:<\/strong> Diagonal = side \u00d7 \u221a2 = 10\u221a2.<\/p>\n\n\n\n

28. The number of diagonals in a polygon of 10 sides is:<\/mark><\/strong>
a) 35
b) 40
c) 45
d) 50<\/p>\n\n\n\n

Answer:<\/strong> a) 35
Explanation:<\/strong> Formula = n(n\u22123)\/2. For n=10 \u2192 10\u00d77\/2 = 35.<\/p>\n\n\n\n

29. In an equilateral triangle, each angle is:<\/mark><\/strong>
a) 30\u00b0
b) 45\u00b0
c) 60\u00b0
d) 90\u00b0<\/p>\n\n\n\n

Answer: <\/strong>c) 60\u00b0
Explanation:<\/strong> All angles are equal, sum = 180\u00b0, each = 60\u00b0.<\/p>\n\n\n\n

30. The perimeter of a circle is also called:<\/mark><\/strong>
a) Area
b) Circumference
c) Diameter
d) Sector<\/p>\n\n\n\n

Answer<\/strong>: b) Circumference
Explanation:<\/strong> Perimeter of a circle = 2\u03c0r, known as circumference.<\/p>\n\n\n\n

31. A line segment joining two non-adjacent vertices of a polygon is called:<\/strong><\/mark>
a) Chord
b) Diagonal
c) Radius
d) Median<\/p>\n\n\n\n

Answer: <\/strong>b) Diagonal
Explanation:<\/strong> Non-adjacent vertex joining line = diagonal.<\/p>\n\n\n\n

32. A triangle with all unequal sides is:<\/strong><\/mark>
a) Isosceles
b) Equilateral
c) Scalene
d) Right-angled<\/p>\n\n\n\n

Answer: <\/strong>c) Scalene
Explanation:<\/strong> Scalene triangle = no equal sides.<\/p>\n\n\n\n

33. The centroid of a triangle divides each median in the ratio:<\/strong><\/mark>
a) 1:1
b) 1:2
c) 2:1
d) 3:1<\/p>\n\n\n\n

Answer: <\/strong>c) 2:1
Explanation:<\/strong> Centroid divides median 2:1 from vertex to midpoint.<\/p>\n\n\n\n

34. The point where perpendicular bisectors of a triangle meet is called:<\/strong><\/mark>
a) Centroid
b) Circumcenter
c) Incenter
d) Orthocenter<\/p>\n\n\n\n

Answer: <\/strong>b) Circumcenter
Explanation:<\/strong> Circumcenter is the intersection of perpendicular bisectors.<\/p>\n\n\n\n

35. The sum of the angles of an octagon is:<\/mark><\/strong>
a) 900\u00b0
b) 1080\u00b0
c) 1200\u00b0
d) 1440\u00b0<\/p>\n\n\n\n

Answer:<\/strong> b) 1080\u00b0
Explanation:<\/strong> (n\u22122)\u00d7180 = (8\u22122)\u00d7180 = 1080\u00b0.<\/p>\n\n\n\n

36. The area of a rectangle with length l and breadth b is:<\/strong><\/mark>
a) l+b
b) 2(l+b)
c) lb
d) l\u00b2+b\u00b2<\/p>\n\n\n\n

Answer:<\/strong> c) lb
Explanation:<\/strong> Area = length \u00d7 breadth.<\/p>\n\n\n\n

37. The diagonals of a rectangle are:<\/mark><\/strong>
a) Equal
b) Unequal
c) Perpendicular
d) Parallel<\/p>\n\n\n\n

Answer: <\/strong>a) Equal
Explanation:<\/strong> Diagonals of a rectangle are equal in length.<\/p>\n\n\n\n

38. The shape of the base of a cone is:<\/mark><\/strong>
a) Triangle
b) Square
c) Circle
d) Rectangle<\/p>\n\n\n\n

Answer: <\/strong>c) Circle
Explanation:<\/strong> Base of a cone is circular.<\/p>\n\n\n\n

39. The perimeter of a square of side a is:<\/mark><\/strong>
a) a\u00b2
b) 4a
c) 2a
d) 3a<\/p>\n\n\n\n

Answer: <\/strong>b) 4a
Explanation:<\/strong> Perimeter = 4 \u00d7 side.<\/p>\n\n\n\n

40. The volume of a cuboid with length l, breadth b, height h is:<\/mark><\/strong>
a) l+b+h
b) 2(lb+bh+hl)
c) lbh
d) (l+b+h)\u00b2<\/p>\n\n\n\n

Answer: <\/strong>c) lbh
Explanation:<\/strong> Volume = l\u00d7b\u00d7h.<\/p>\n\n\n\n

41. The number of vertices in a cube is:<\/mark><\/strong>
a) 6
b) 8
c) 10
d) 12<\/p>\n\n\n\n

Answer: <\/strong>b) 8
Explanation:<\/strong> Cube has 8 corners (vertices).<\/p>\n\n\n\n

42. The number of edges in a cube is:<\/mark><\/strong>
a) 6
b) 8
c) 10
d) 12<\/p>\n\n\n\n

Answer: <\/strong>d) 12
Explanation:<\/strong> Cube has 12 edges.<\/p>\n\n\n\n

43. The number of faces in a cuboid is:<\/mark><\/strong>
a) 4
b) 6
c) 8
d) 12<\/p>\n\n\n\n

Answer:<\/strong> b) 6
Explanation:<\/strong> A cuboid has 6 rectangular faces.<\/p>\n\n\n\n

44. The radius of a circle is half its:<\/mark><\/strong>
a) Chord
b) Diameter
c) Circumference
d) Area<\/p>\n\n\n\n

Answer: <\/strong>b) Diameter
Explanation:<\/strong> Diameter = 2r.<\/p>\n\n\n\n

45. The diagonals of a square are:<\/mark><\/strong>
a) Equal and perpendicular
b) Equal and parallel
c) Unequal and perpendicular
d) Unequal and parallel<\/p>\n\n\n\n

Answer: <\/strong>a) Equal and perpendicular
Explanation:<\/strong> Diagonals of a square bisect at right angles.<\/p>\n\n\n\n

46. The point where altitudes of a triangle meet is:<\/mark><\/strong>
a) Centroid
b) Circumcenter
c) Orthocenter
d) Incenter<\/p>\n\n\n\n

Answer: <\/strong>c) Orthocenter
Explanation:<\/strong> Intersection of altitudes = orthocenter.<\/p>\n\n\n\n

47. The point where angle bisectors of a triangle meet is:<\/strong><\/mark>
a) Centroid
b) Incenter
c) Orthocenter
d) Circumcenter<\/p>\n\n\n\n

Answer: <\/strong>b) Incenter
Explanation:<\/strong> Intersection of angle bisectors = incenter.<\/p>\n\n\n\n

48. The perimeter of an equilateral triangle of side a is:<\/strong><\/mark>
a) a
b) 2a
c) 3a
d) 4a<\/p>\n\n\n\n

Answer: <\/strong>c) 3a
Explanation:<\/strong> Perimeter = sum of 3 sides = 3a.<\/p>\n\n\n\n

49. The locus of all points equidistant from a fixed point is:<\/mark><\/strong>
a) Line
b) Circle
c) Triangle
d) Parabola<\/p>\n\n\n\n

Answer<\/strong>: b) Circle
Explanation:<\/strong> Circle is defined as set of points equidistant from center.<\/p>\n\n\n\n

50. The radius of a sphere is doubled. Its volume becomes:<\/mark><\/strong>
a) 2 times
b) 4 times
c) 6 times
d) 8 times<\/p>\n\n\n\n

Answer: <\/strong>d) 8 times
Explanation:<\/strong> Volume \u221d r\u00b3. Doubling r \u2192 volume increases 2\u00b3 = 8 times.<\/p>\n\n\n\n

51. A line which touches a circle at only one point is called:<\/mark><\/strong>
a) Chord
b) Tangent
c) Secant
d) Diameter<\/p>\n\n\n\n

Answer<\/strong>: b) Tangent
Explanation:<\/strong> A tangent touches the circle at exactly one point.<\/p>\n\n\n\n

52. The distance around a rectangle is called its:<\/mark><\/strong>
a) Area
b) Diagonal
c) Perimeter
d) Volume<\/p>\n\n\n\n

Answer:<\/strong> c) Perimeter
Explanation:<\/strong> Perimeter = 2(l+b).<\/p>\n\n\n\n

53. The number of sides in a decagon is:<\/mark><\/strong>
a) 8
b) 9
c) 10
d) 12<\/p>\n\n\n\n

Answer<\/strong>: c) 10
Explanation:<\/strong> A decagon has 10 sides.<\/p>\n\n\n\n

54. The sum of the angles of a heptagon is:<\/mark><\/strong>
a) 720\u00b0
b) 900\u00b0
c) 1080\u00b0
d) 1260\u00b0<\/p>\n\n\n\n

Answer: <\/strong>d) 900\u00b0 \u2192 Correction: Actually 900\u00b0 belongs to pentagon. Correct is: (n\u22122)\u00d7180 = (7\u22122)\u00d7180 = 900\u00b0. So answer is b) 900\u00b0.<\/p>\n\n\n\n

55. The volume of a sphere of radius r is:<\/mark><\/strong>
a)
b)
c)
d) <\/p>\n\n\n\n

Answer:<\/strong> a)
Explanation:<\/strong> Formula for volume of sphere.<\/p>\n\n\n\n

56. The area of a parallelogram with base b and height h is:<\/mark><\/strong>
a) 2bh
b) bh
c) b+h
d) b\u00b2+h\u00b2<\/p>\n\n\n\n

Answer: <\/strong>b) bh
Explanation:<\/strong> Area = base \u00d7 height.<\/p>\n\n\n\n

57. The diagonals of a parallelogram:<\/mark><\/strong>
a) Are equal
b) Bisect each other
c) Are perpendicular
d) Are parallel<\/p>\n\n\n\n

Answer:<\/strong> b) Bisect each other
Explanation:<\/strong> They bisect but are not necessarily equal.<\/p>\n\n\n\n

58. In a trapezium, the line joining the midpoints of the non-parallel sides is:<\/mark><\/strong>
a) Equal to the parallel sides
b) Parallel to the bases
c) Perpendicular to the bases
d) None<\/p>\n\n\n\n

Answer:<\/strong> b) Parallel to the bases
Explanation:<\/strong> Mid-segment theorem of trapezium.<\/p>\n\n\n\n

59. The sum of the angles in a quadrilateral is:<\/mark><\/strong>
a) 90\u00b0
b) 180\u00b0
c) 270\u00b0
d) 360\u00b0<\/p>\n\n\n\n

Answer: <\/strong>d) 360\u00b0
Explanation:<\/strong> (n\u22122)\u00d7180 = (4\u22122)\u00d7180 = 360\u00b0.<\/p>\n\n\n\n

60. The point where medians of a triangle meet is called:<\/mark><\/strong>
a) Centroid
b) Circumcenter
c) Incenter
d) Orthocenter<\/p>\n\n\n\n

Answer<\/strong>: a) Centroid
Explanation:<\/strong> Medians intersect at centroid.<\/p>\n\n\n\n

61. A regular polygon with each interior angle = 150\u00b0 has how many sides?<\/mark><\/strong>
a) 10
b) 12
c) 15
d) 18<\/p>\n\n\n\n

Answer: <\/strong>b) 12
Explanation:<\/strong> Interior angle = . Solve \u2192 n=12.<\/p>\n\n\n\n

62. The diagonal of a cube of side a is:<\/mark><\/strong>
a) a
b) \u221a2a
c) \u221a3a
d) 2a<\/p>\n\n\n\n

Answer: <\/strong>c) \u221a3a
Explanation:<\/strong> Space diagonal = \u221a(a\u00b2+a\u00b2+a\u00b2) = \u221a3a.<\/p>\n\n\n\n

63. The surface area of a cube of side a is:<\/mark><\/strong>
a) 2a\u00b2
b) 4a\u00b2
c) 6a\u00b2
d) 8a\u00b2<\/p>\n\n\n\n

Answer: <\/strong>c) 6a\u00b2
Explanation:<\/strong> Cube has 6 faces, each area = a\u00b2.<\/p>\n\n\n\n

64. A polygon with all sides and angles equal is called:<\/mark><\/strong>
a) Regular polygon
b) Irregular polygon
c) Concave polygon
d) Convex polygon<\/p>\n\n\n\n

Answer:<\/strong> a) Regular polygon
Explanation:<\/strong> Regular = equal sides and angles.<\/p>\n\n\n\n

65. The base and height of a triangle are 10 cm and 12 cm. Its area is:<\/mark><\/strong>
a) 50 cm\u00b2
b) 60 cm\u00b2
c) 70 cm\u00b2
d) 80 cm\u00b2<\/p>\n\n\n\n

Answer: <\/strong>b) 60 cm\u00b2
Explanation:<\/strong> Area = \u00bd \u00d7 base \u00d7 height = \u00bd\u00d710\u00d712 = 60.<\/p>\n\n\n\n

66. The perimeter of a semicircle of radius r (without diameter) is:<\/mark><\/strong>
a) \u03c0r
b) \u03c0r\u00b2
c) \u03c0r+2r
d) \u03c0r+r<\/p>\n\n\n\n

Answer:<\/strong> d) \u03c0r+r
Explanation:<\/strong> Length of semicircle = half circumference + radius = \u03c0r + r.<\/p>\n\n\n\n

67. The three medians of a triangle:<\/mark><\/strong>
a) Meet at different points
b) Are parallel
c) Are concurrent
d) Are perpendicular<\/p>\n\n\n\n

Answer: <\/strong>c) Are concurrent
Explanation:<\/strong> All medians meet at centroid.<\/p>\n\n\n\n

68. The length of each side of a regular hexagon inscribed in a circle of radius r is:<\/mark><\/strong>
a) r
b) 2r
c) \u221a2r
d) \u221a3r<\/p>\n\n\n\n

Answer: <\/strong>a) r
Explanation:<\/strong> Side of inscribed hexagon = radius of circle.<\/p>\n\n\n\n

69. The sum of the interior angles of a nonagon is:<\/mark><\/strong>
a) 900\u00b0
b) 1080\u00b0
c) 1260\u00b0
d) 1440\u00b0<\/p>\n\n\n\n

Answer:<\/strong> c) 1260\u00b0
Explanation:<\/strong> (n\u22122)\u00d7180 = (9\u22122)\u00d7180 = 1260\u00b0.<\/p>\n\n\n\n

70. The diagonals of a kite:<\/mark><\/strong>
a) Are equal
b) Are perpendicular
c) Bisect each other
d) Are parallel<\/p>\n\n\n\n

Answer:<\/strong> b) Are perpendicular
Explanation:<\/strong> Diagonals of a kite intersect at right angles.<\/p>\n\n\n\n

71. The exterior angle of a regular decagon is:<\/mark><\/strong>
a) 30\u00b0
b) 36\u00b0
c) 45\u00b0
d) 60\u00b0<\/p>\n\n\n\n

Answer: <\/strong>b) 36\u00b0
Explanation:<\/strong> Exterior angle = 360\u00b0\/n = 360\/10 = 36\u00b0.<\/p>\n\n\n\n

72. The radius of a circle is 7 cm. Its circumference is:<\/mark>
<\/strong>a) 22 cm
b) 44 cm
c) 77 cm
d) 154 cm<\/p>\n\n\n\n

Answer: c) 44 cm \u2192 Correction: Formula 2\u03c0r = 2\u00d722\/7\u00d77 = 44. So correct is b) 44 cm.<\/strong><\/p>\n\n\n\n

73. The area of a rhombus with diagonals d1 and d2 is:<\/mark><\/strong>
a) d1\u00d7d2
b) \u00bd d1\u00d7d2
c) (d1+d2)\/2
d) (d1\u00b2+d2\u00b2)\/2<\/p>\n\n\n\n

Answer:<\/strong> b) \u00bd d1\u00d7d2
Explanation:<\/strong> Formula of rhombus area.<\/p>\n\n\n\n

74. The lateral surface area of a cylinder of radius r and height h is:<\/strong><\/mark>
a) 2\u03c0rh
b) \u03c0r\u00b2h
c) 2\u03c0r\u00b2
d) \u03c0rh\u00b2<\/p>\n\n\n\n

Answer: <\/strong>a) 2\u03c0rh
Explanation:<\/strong> Curved surface area = 2\u03c0rh.<\/p>\n\n\n\n

75. In a right triangle, if base = 6 cm, height = 8 cm, then hypotenuse = ?<\/strong><\/mark>
a) 8 cm
b) 9 cm
c) 10 cm
d) 12 cm<\/p>\n\n\n\n

Answer: <\/strong>c) 10 cm
Explanation:<\/strong> By Pythagoras: \u221a(6\u00b2+8\u00b2) = \u221a100 = 10.<\/p>\n\n\n\n

76 .The radius of a circle is doubled. Its area becomes:<\/mark><\/strong>
a) 2 times
b) 3 times
c) 4 times
d) 8 times<\/p>\n\n\n\n

Answer: <\/strong>c) 4 times
Explanation:<\/strong> Area \u221d r\u00b2. Doubling r \u2192 area increases 2\u00b2 = 4 times.<\/p>\n\n\n\n

77. The sum of exterior angles of a hexagon is:<\/mark><\/strong>
a) 180\u00b0
b) 270\u00b0
c) 360\u00b0
d) 540\u00b0<\/p>\n\n\n\n

Answer:<\/strong> c) 360\u00b0<\/mark>
Explanation:<\/strong> For any polygon, sum of exterior angles = 360\u00b0.<\/p>\n\n\n\n

78. The longest diagonal of a cube of side a is:<\/strong><\/mark>
a) a
b) \u221a2a
c) \u221a3a
d) 2a<\/p>\n\n\n\n

Answer: <\/strong>c) \u221a3a
Explanation:<\/strong> Space diagonal = \u221a(a\u00b2+a\u00b2+a\u00b2) = \u221a3a.<\/p>\n\n\n\n

79. The total surface area of a cuboid is:<\/mark><\/strong>
a) 2(lb+bh+hl)
b) lbh
c) 2(l+b+h)
d) (l+b+h)\u00b2<\/p>\n\n\n\n

Answer:<\/strong> a) 2(lb+bh+hl)
Explanation:<\/strong> Formula for total surface area.<\/p>\n\n\n\n

80. The incenter of a triangle is the center of:<\/mark><\/strong>
a) Circumscribed circle
b) Inscribed circle
c) Median circle
d) None<\/p>\n\n\n\n

Answer: <\/strong>b) Inscribed circle
Explanation:<\/strong> Incenter = intersection of angle bisectors \u2192 center of incircle.<\/p>\n\n\n\n

81. The circumcircle of a triangle passes through:<\/strong><\/mark>
a) Incenter
b) Orthocenter
c) All three vertices
d) Midpoints<\/p>\n\n\n\n

Answer:<\/strong> c) All three vertices
Explanation:<\/strong> Circumcircle is drawn through vertices of triangle.<\/p>\n\n\n\n

82. The locus of points equidistant from two fixed points is:<\/mark><\/strong>
a) Angle bisector
b) Perpendicular bisector of the line joining them
c) Altitude
d) Median<\/p>\n\n\n\n

Answer:<\/strong> b) Perpendicular bisector
Explanation:<\/strong> Any point equidistant from 2 points lies on perpendicular bisector.<\/p>\n\n\n\n

83. The sum of interior and exterior angle at a vertex of a polygon is:<\/mark><\/strong>
a) 90\u00b0
b) 120\u00b0
c) 150\u00b0
d) 180\u00b0<\/p>\n\n\n\n

Answer:<\/strong> d) 180\u00b0
Explanation:<\/strong> Interior + exterior angle = 180\u00b0.<\/p>\n\n\n\n

84. The volume of a right circular cone of radius r and height h is:<\/mark><\/strong>
a) \u03c0r\u00b2h
b) \u00bd\u03c0r\u00b2h
c) \u2153\u03c0r\u00b2h
d) 2\u03c0rh<\/p>\n\n\n\n

Answer: <\/strong>c) \u2153\u03c0r\u00b2h
Explanation:<\/strong> Formula = (1\/3)\u03c0r\u00b2h.<\/p>\n\n\n\n

85. The surface area of a hemisphere of radius r is:<\/mark><\/strong>
a) 2\u03c0r\u00b2
b) 3\u03c0r\u00b2
c) 4\u03c0r\u00b2
d) \u03c0r\u00b2<\/p>\n\n\n\n

Answer<\/strong>: <\/strong>b) 3\u03c0r\u00b2<\/mark>
Explanation:<\/strong> CSA = 2\u03c0r\u00b2, base area = \u03c0r\u00b2, total = 3\u03c0r\u00b2.<\/p>\n\n\n\n

86. The altitude of an equilateral triangle of side a is:<\/mark><\/strong>
a) a
b) \u221a3a\/2
c) a\/2
d) \u221a2a<\/p>\n\n\n\n

Answer: <\/strong>b) \u221a3a\/2
Explanation:<\/strong> Height = (\u221a3\/2)\u00d7side.<\/p>\n\n\n\n

87. The angle sum of a polygon with 12 sides is:<\/mark><\/strong>
a) 1620\u00b0
b) 1800\u00b0
c) 1980\u00b0
d) 2160\u00b0<\/p>\n\n\n\n

Answer: <\/strong>a) 1800\u00b0
Explanation:<\/strong> (n\u22122)\u00d7180 = (12\u22122)\u00d7180 = 1800\u00b0.<\/p>\n\n\n\n

88 .The mid-point of the hypotenuse of a right-angled triangle is:<\/mark><\/strong>
a) Centroid
b) Incenter
c) Equidistant from all vertices
d) Orthocenter<\/p>\n\n\n\n

Answer: <\/strong>c) Equidistant from all vertices
Explanation:<\/strong> Midpoint of hypotenuse is circumcenter of right triangle.<\/p>\n\n\n\n

89. The radius of the incircle of a square of side a is:<\/mark><\/strong>
a) a
b) a\/2
c) \u221a2a
d) a\/\u221a2<\/p>\n\n\n\n

Answer: <\/strong>b) a\/2
Explanation:<\/strong> Incircle touches all sides \u2192 radius = half side.<\/p>\n\n\n\n

90. A diagonal divides a parallelogram into:<\/strong><\/mark>
a) Two trapeziums
b) Two rectangles
c) Two congruent triangles
d) Two squares<\/p>\n\n\n\n

Answer: <\/strong>c) Two congruent triangles
Explanation:<\/strong> Diagonal splits parallelogram into equal triangles.<\/p>\n\n\n\n

91. The area of a sector of a circle of radius r and angle \u03b8 (in degrees) is:<\/mark><\/strong>
a)<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

b)<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

c)<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

d)<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

<\/p>\n\n\n\n

Answer: <\/strong>b)
Explanation:<\/strong> Formula for area of a sector.<\/p>\n\n\n\n

92. The perpendicular drawn from the center of a circle to a chord:<\/mark><\/strong>
a) Bisects the chord
b) Doubles the chord
c) Equals radius
d) Is tangent<\/p>\n\n\n\n

Answer<\/strong>: a) Bisects the chord
Explanation:<\/strong> Perpendicular from center bisects chord.<\/p>\n\n\n\n

93. The number of sides of a polygon whose interior angle is 165\u00b0 is:<\/mark><\/strong>
a) 18
b) 20
c) 22
d) 24<\/p>\n\n\n\n

Answer<\/strong>: c) 24
Explanation:<\/strong> Interior angle = (n\u22122)\u00d7180\/n. Solve for n=24.<\/p>\n\n\n\n

94. The volume of a right prism is:<\/mark><\/strong>
a) Base area \u00d7 height
b) \u00bd base area \u00d7 height
c) \u2153 base area \u00d7 height
d) None<\/p>\n\n\n\n

Answer: <\/strong>a) Base area \u00d7 height
Explanation:<\/strong> Volume = area of base \u00d7 height.<\/p>\n\n\n\n

95. The radius of a circle is 14 cm. Its area is:<\/mark><\/strong>
a) 154 cm\u00b2
b) 308 cm\u00b2
c) 616 cm\u00b2
d) 704 cm\u00b2<\/p>\n\n\n\n

Answer: c) 616 cm\u00b2<\/strong>
Explanation:<\/strong> Area = \u03c0r\u00b2 = 22\/7 \u00d7 14 \u00d7 14 = 616.<\/p>\n\n\n\n

96. The diagonals of a rectangle are equal and:<\/strong><\/mark>
a) Parallel
b) Perpendicular
c) Bisect each other
d) None<\/p>\n\n\n\n

Answer: c) Bisect each other<\/strong>
Explanation:<\/strong> They are equal and bisect at midpoint.<\/p>\n\n\n\n

97. The number of diagonals in a polygon with n sides is:<\/strong><\/mark>
a) n(n\u22121)\/2
b) n(n\u22123)\/2
c) (n\u22122)(n\u22123)\/2
d) n\u00b2<\/p>\n\n\n\n

Answer: <\/strong>b) n(n\u22123)\/2
Explanation:<\/strong> Standard formula for diagonals.<\/p>\n\n\n\n

98. The area of a trapezium with parallel sides a, b and height h is:<\/mark><\/strong>
a) (a+b)h
b) \u00bd(a+b)h
c) (a\u2212b)h
d) ab+h<\/p>\n\n\n\n

Answer: <\/strong>b) \u00bd(a+b)h
Explanation:<\/strong> Area = \u00bd \u00d7 sum of parallel sides \u00d7 height.<\/p>\n\n\n\n

99. In a circle, equal chords are equidistant from:<\/strong><\/mark>
a) Diameter
b) Radius
c) Center
d) Circumference<\/p>\n\n\n\n

Answer: <\/strong>c) Center
Explanation:<\/strong> Equal chords are at equal distance from the center.<\/p>\n\n\n\n

100. The angle in a major segment of a circle is always:<\/mark><\/strong>
a) Acute
b) Obtuse
c) Right
d) Reflex<\/p>\n\n\n\n

Answer: <\/strong>b) Obtuse
Explanation:<\/strong> Angle in a major segment > 90\u00b0.<\/p>\n","protected":false},"excerpt":{"rendered":"

1. The sum of the interior angles of a triangle is:a) 90\u00b0b) 180\u00b0c) 270\u00b0d) 360\u00b0Answer: b) 180\u00b0Explanation: In Euclidean geometry, the interior angles of a triangle always add up to 180\u00b0. 2. The sum of exterior angles of any polygon is always:a) 90\u00b0b) 180\u00b0c) 270\u00b0d) 360\u00b0Answer: d) 360\u00b0Explanation: No matter how many sides, the sum<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[12992,12983,12181,12995,12998,12990,13003,12999,13010,12987,13008,12996,12991,12988,12997,12994,13007,13000,13009,13001,13004,10937,13011,13005,12975,12964,12978,12976,4029,5649,5623,13006,12993,13002],"class_list":{"0":"post-12529","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-mathematics","7":"tag-circles","8":"tag-competitive-exams","9":"tag-exam-preparation","10":"tag-geometrical-shapes","11":"tag-geometry-examples","12":"tag-geometry-exercises","13":"tag-geometry-for-students","14":"tag-geometry-formulas","15":"tag-geometry-learning","16":"tag-geometry-mcqs","17":"tag-geometry-notes","18":"tag-geometry-practice","19":"tag-geometry-problems","20":"tag-geometry-questions","21":"tag-geometry-questions-with-answers","22":"tag-geometry-quiz","23":"tag-geometry-revision","24":"tag-geometry-solutions","25":"tag-geometry-study-material","26":"tag-geometry-test","27":"tag-geometry-tips","28":"tag-geometry-top-100-mcqs-with-answer-and-explanation","29":"tag-geometry-tricks","30":"tag-geometry-tutorials","31":"tag-math-exercises","32":"tag-math-mcqs","33":"tag-math-practice","34":"tag-mathematics-questions","35":"tag-mcqs-adda","36":"tag-mcqs-for-pc-psi-sda-fda-pdo-vao-banking-kas-ias-ssc-gd-ssc-chsl-ssc-cgl-for-all-compitative-exams","37":"tag-mcqs-for-sda-fda-pdo-vao-banking-kas-ias-ssc-gd-ssc-chsl-ssc-cgl-for-all-compitative-exams","38":"tag-polygons","39":"tag-quadrilaterals","40":"tag-triangles"},"_links":{"self":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/12529","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/comments?post=12529"}],"version-history":[{"count":4,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/12529\/revisions"}],"predecessor-version":[{"id":15368,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/posts\/12529\/revisions\/15368"}],"wp:attachment":[{"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/media?parent=12529"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/categories?post=12529"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mcqsadda.com\/index.php\/wp-json\/wp\/v2\/tags?post=12529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}