RRB NTPC - Geometry Online Test (MCQ Quiz)

1. What is the sum of the interior angles of a triangle?

A) 90 degrees B) 180 degrees C) 270 degrees D) 360 degrees

2. In a triangle, if two sides are equal, what type of triangle is it called?

A) Scalene triangle B) Isosceles triangle C) Equilateral triangle D) Right-angled triangle

3. What is the property of an equilateral triangle?

A) All angles are different B) Two angles are equal C) All sides are different D) All sides and all angles are equal

4. Which theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides?

A) Thales's Theorem B) Pythagorean Theorem C) Euclid's Theorem D) Ceva's Theorem

5. What is the area of a triangle with base 'b' and height 'h'?

A) b * h B) 0.5 * b + h C) 0.5 * b * h D) b + h

6. What is the sum of angles around a point?

A) 90 degrees B) 180 degrees C) 270 degrees D) 360 degrees

7. If two lines intersect, the angles opposite each other at the intersection point are called:

A) Adjacent angles B) Alternate interior angles C) Vertically opposite angles D) Corresponding angles

8. What is a quadrilateral with four equal sides and four right angles called?

A) Rectangle B) Rhombus C) Square D) Parallelogram

9. The sum of the interior angles of a polygon with 'n' sides is given by the formula:

A) (n-2) * 180 degrees B) n * 180 degrees C) (n-1) * 180 degrees D) (n+2) * 180 degrees

10. What is the measure of each interior angle of a regular hexagon?

A) 100 degrees B) 120 degrees C) 135 degrees D) 144 degrees

11. A line segment that connects two points on a circle is called a:

A) Radius B) Diameter C) Tangent D) Chord

12. The distance from the center of a circle to any point on its circumference is called the:

A) Diameter B) Radius C) Circumference D) Chord

13. What is the diameter of a circle if its radius is 7 cm?

A) 3.5 cm B) 7 cm C) 14 cm D) 49 cm

14. The formula for the circumference of a circle with radius 'r' is:

A) π * r B) 2 * π * r C) π * r^2 D) 2 * π * r^2

15. The area of a circle with radius 'r' is given by the formula:

A) 2 * π * r B) π * r C) π * r^2 D) 2 * π * r^2

16. What is a polygon with 5 sides called?

A) Hexagon B) Heptagon C) Pentagon D) Octagon

17. A line that touches a circle at exactly one point is called a:

A) Chord B) Secant C) Tangent D) Radius

18. What is the relationship between the angles in a linear pair?

A) They are equal B) Their sum is 90 degrees C) Their sum is 180 degrees D) Their sum is 360 degrees

19. If two parallel lines are intersected by a transversal, the alternate interior angles are:

A) Supplementary B) Complementary C) Equal D) None of the above

20. What is the measure of each exterior angle of a regular pentagon?

A) 72 degrees B) 90 degrees C) 108 degrees D) 120 degrees

21. A triangle with angles 30, 60, and 90 degrees is a type of:

A) Acute triangle B) Obtuse triangle C) Right-angled triangle D) Equilateral triangle

22. What is the perimeter of a rectangle with length 'l' and width 'w'?

A) l * w B) 2 * (l + w) C) l + w D) 2 * l * w

23. What is the area of a rectangle with length 'l' and width 'w'?

A) 2 * (l + w) B) l + w C) l * w D) 2 * l * w

24. A rhombus with all angles equal to 90 degrees is a:

A) Parallelogram B) Trapezoid C) Square D) Rectangle

25. What is the sum of the exterior angles of any convex polygon?

A) 180 degrees B) 270 degrees C) 360 degrees D) Depends on the number of sides

26. In an isosceles triangle, the angles opposite the equal sides are:

A) Different B) Equal C) Right angles D) Obtuse

27. What is the length of the diagonal of a square with side length 's'?

A) s B) s * sqrt(2) C) s / sqrt(2) D) 2 * s

28. A triangle where one angle is greater than 90 degrees is called an:

A) Acute triangle B) Obtuse triangle C) Right-angled triangle D) Isosceles triangle

29. If a line segment divides a triangle into two smaller triangles of equal area, the line segment must be a:

A) Altitude B) Median C) Angle bisector D) Perpendicular bisector

30. What is the area of a parallelogram with base 'b' and height 'h'?

A) 0.5 * b * h B) b + h C) b * h D) 2 * (b + h)

31. A quadrilateral with at least one pair of parallel sides is called a:

A) Rhombus B) Trapezoid C) Kite D) Parallelogram

32. What is the measure of a central angle subtended by an arc that is one-third of the circumference of a circle?

A) 60 degrees B) 90 degrees C) 120 degrees D) 180 degrees

33. If two angles of a triangle are 45 degrees and 60 degrees, what is the third angle?

A) 60 degrees B) 75 degrees C) 90 degrees D) 105 degrees

34. What geometric shape has two parallel sides of unequal length and two non-parallel sides?

A) Rhombus B) Parallelogram C) Trapezoid D) Rectangle

35. The sum of the angles in a quadrilateral is:

A) 180 degrees B) 270 degrees C) 360 degrees D) Depends on the type of quadrilateral

36. What is the perimeter of a square with side length 's'?

A) s^2 B) 4 * s C) 2 * s D) s

37. Which of the following is NOT a type of triangle based on angles?

A) Acute triangle B) Obtuse triangle C) Isosceles triangle D) Right-angled triangle

38. A line segment passing through the center of a circle and whose endpoints lie on the circle is called a:

A) Radius B) Chord C) Tangent D) Diameter

39. What is the angle formed by a tangent and a radius drawn to the point of tangency?

A) 0 degrees B) 45 degrees C) 90 degrees D) 180 degrees

40. The line segment joining the midpoints of two sides of a triangle is parallel to the third side and is:

A) Twice the length of the third side B) Half the length of the third side C) Equal in length to the third side D) Unrelated to the third side

41. What is the area of a triangle with sides a, b, and c, and semi-perimeter s, using Heron's formula?

A) sqrt(s * (s-a) * (s-b) * (s-c)) B) s * (s-a) * (s-b) * (s-c) C) sqrt(s + (s-a) + (s-b) + (s-c)) D) (s-a) * (s-b) * (s-c)

42. In a cyclic quadrilateral, the sum of opposite angles is:

A) 90 degrees B) 180 degrees C) 270 degrees D) 360 degrees

43. What is the measure of an angle inscribed in a semicircle?

A) 45 degrees B) 60 degrees C) 90 degrees D) 180 degrees

44. A triangle with all three sides of different lengths is called a:

A) Isosceles triangle B) Equilateral triangle C) Scalene triangle D) Right-angled triangle

45. What is the relationship between the angle at the center and the angle at the circumference subtended by the same arc in a circle?

A) The central angle is half the circumference angle B) The central angle is equal to the circumference angle C) The central angle is double the circumference angle D) There is no fixed relationship

46. What is the total number of diagonals in a polygon with 'n' sides?

A) n * (n-1) / 2 B) n * (n-3) / 2 C) n * (n-2) / 2 D) n * (n-4) / 2

47. What is the ratio of the circumference of a circle to its diameter?

A) r B) 2r C) π D) 2π

48. If two triangles are similar, their corresponding angles are:

A) Proportional B) Equal C) Supplementary D) Complementary

49. In similar triangles, the ratio of their corresponding sides is equal to the ratio of their:

A) Areas B) Perimeters C) Altitudes D) All of the above

50. What is the distance between two parallel lines?

A) The length of the perpendicular segment connecting them B) The length of any segment connecting them C) The sum of their lengths D) Zero

Geometry - Online Test

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