SSC CGL - Circles and Quadrilaterals Online Test (MCQ Quiz)

1. What is the definition of a circle?

A) A polygon with infinite sides B) A set of points equidistant from a fixed point C) A shape with four equal sides and four right angles D) A closed curve with no straight sides

2. What is the term for the fixed point from which all points on a circle are equidistant?

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

3. What is the distance from the center of a circle to any point on its circumference called?

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

4. Which term represents the distance across a circle passing through its center?

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

5. What is the formula for the circumference of a circle?

A) πr² B) 2πr C) πd D) 2πd

6. What is the formula for the area of a circle?

A) 2πr B) πr² C) πd² D) 2πd

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

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

8. A chord that passes through the center of a circle is known as its:

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

9. What is a line that touches a circle at exactly one point called?

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

10. A line that intersects a circle at two distinct points is called a:

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

11. What is the angle subtended by a diameter at any point on the circumference of a circle?

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

12. In a circle, angles subtended by the same arc at the circumference are:

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

13. What is the maximum number of points a line and a circle can intersect at?

A) One B) Two C) Three D) Infinite

14. If two circles touch each other externally, the distance between their centers is equal to the sum of their:

A) Radii B) Diameters C) Circumferences D) Areas

15. If two circles touch each other internally, the distance between their centers is equal to the difference of their:

A) Radii B) Diameters C) Circumferences D) Areas

16. What is a quadrilateral?

A) A polygon with three sides B) A polygon with four sides C) A polygon with five sides D) A polygon with six sides

17. What is the sum of the interior angles of any quadrilateral?

A) 180 degrees B) 270 degrees C) 360 degrees D) 540 degrees

18. A quadrilateral with opposite sides parallel is called a:

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

19. Which property holds true for a parallelogram?

A) All sides are equal B) All angles are right angles C) Opposite angles are equal D) Diagonals are perpendicular

20. A parallelogram with four equal sides is called a:

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

21. A parallelogram with four right angles is called a:

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

22. A rectangle with all sides equal is a:

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

23. A quadrilateral with exactly one pair of parallel sides is called a:

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

24. In a trapezium, the parallel sides are called:

A) Legs B) Bases C) Diagonals D) Vertices

25. A quadrilateral with two distinct pairs of equal adjacent sides is called a:

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

26. The diagonals of a rectangle are:

A) Perpendicular and equal B) Equal and bisect each other C) Perpendicular and bisect each other D) Unequal and do not bisect each other

27. The diagonals of a rhombus are:

A) Equal and bisect each other B) Perpendicular and bisect each other C) Equal and perpendicular D) Perpendicular and do not bisect each other

28. The diagonals of a square are:

A) Equal and bisect each other B) Perpendicular and bisect each other C) Equal, perpendicular, and bisect each other D) Unequal and perpendicular

29. A circle passing through all the vertices of a quadrilateral is called a:

A) Inscribed circle B) Circumscribed circle C) Touching circle D) Tangent circle

30. A quadrilateral that can be inscribed in a circle is called a:

A) Tangential quadrilateral B) Cyclic quadrilateral C) Orthogonal quadrilateral D) Self-intersecting quadrilateral

31. In a cyclic quadrilateral, opposite angles are:

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

32. What is the area of a rhombus if its diagonals are d1 and d2?

A) d1 * d2 B) (d1 + d2) / 2 C) (d1 * d2) / 2 D) d1² + d2²

33. A circle is inscribed in a quadrilateral if it touches all four sides. Such a quadrilateral is called a:

A) Cyclic quadrilateral B) Tangential quadrilateral C) Isosceles quadrilateral D) Right quadrilateral

34. For a tangential quadrilateral, the sums of opposite sides are:

A) Unequal B) Equal C) Half D) Double

35. If a circle has a radius of 7 cm, what is its circumference?

A) 44 cm B) 154 cm C) 49 cm D) 98 cm

36. If a circle has a radius of 5 cm, what is its area?

A) 10π cm² B) 25π cm² C) 50π cm² D) 100π cm²

37. What is the length of the diameter of a circle with a radius of 12 units?

A) 6 units B) 12 units C) 24 units D) 144 units

38. A chord of length 16 cm is drawn in a circle of radius 10 cm. What is the distance of the chord from the center?

A) 6 cm B) 8 cm C) 10 cm D) 12 cm

39. What is the area of a square with a side length of 8 cm?

A) 16 cm² B) 32 cm² C) 64 cm² D) 256 cm²

40. What is the perimeter of a rectangle with length 10 cm and width 5 cm?

A) 15 cm B) 25 cm C) 30 cm D) 50 cm

41. If the diagonals of a rhombus are 12 cm and 10 cm, what is its area?

A) 22 cm² B) 60 cm² C) 120 cm² D) 240 cm²

42. A rectangle is inscribed in a circle of radius 5 cm. If the length of the rectangle is 8 cm, what is its width?

A) 3 cm B) 4 cm C) 6 cm D) 10 cm

43. What is the angle subtended by an arc of 60 degrees at the center of a circle?

A) 30 degrees B) 60 degrees C) 120 degrees D) 180 degrees

44. If a square is inscribed in a circle of radius r, what is the side length of the square?

A) r B) √2 r C) 2r D) r√2

45. What is the value of π (pi) approximately?

A) 2.718 B) 3.14159 C) 1.618 D) 0.577

46. A quadrilateral has angles in the ratio 1:2:3:4. What is the measure of the largest angle?

A) 120 degrees B) 144 degrees C) 108 degrees D) 90 degrees

47. If a circle is circumscribed about a square with side length 's', what is the radius of the circle?

A) s/2 B) s C) s/√2 D) s√2 / 2

48. What is the locus of points equidistant from two given points?

A) A circle B) The perpendicular bisector of the segment joining the two points C) A line parallel to the segment D) The segment itself

49. In a parallelogram ABCD, if angle A = 70 degrees, what is angle B?

A) 70 degrees B) 110 degrees C) 180 degrees D) 290 degrees

50. A circle is tangent to all sides of a square. If the side of the square is 10 cm, what is the radius of the circle?

A) 2.5 cm B) 5 cm C) 10 cm D) 20 cm

Circles and Quadrilaterals - Online Test

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