SSC CGL - Mensuration, Geometry and Trigonometry Online Test (MCQ Quiz)

1. The area of a circle is 616 sq. cm. What is its circumference?

A) 88 cm B) 44 cm C) 176 cm D) 132 cm

2. A square park has a diagonal of 40 meters. What is its area?

A) 1600 sq. m B) 800 sq. m C) 400 sq. m D) 3200 sq. m

3. The length and breadth of a rectangle are 12 cm and 5 cm respectively. What is the length of its diagonal?

A) 13 cm B) 17 cm C) 10 cm D) 15 cm

4. A triangle has sides of length 3 cm, 4 cm, and 5 cm. What is its area?

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

5. The circumference of a circle is 44 cm. What is its radius?

A) 7 cm B) 14 cm C) 3.5 cm D) 21 cm

6. A rectangle has an area of 96 sq. cm and a perimeter of 40 cm. What are its length and breadth?

A) 12 cm and 8 cm B) 16 cm and 6 cm C) 24 cm and 4 cm D) 10 cm and 9.6 cm

7. The perimeter of an equilateral triangle is 36 cm. What is its height?

A) 6√3 cm B) 12 cm C) 9√3 cm D) 18 cm

8. What is the volume of a cube with a side length of 5 cm?

A) 125 cubic cm B) 25 cubic cm C) 150 cubic cm D) 75 cubic cm

9. A sphere has a radius of 3 cm. What is its surface area?

A) 36π sq. cm B) 12π sq. cm C) 27π sq. cm D) 9π sq. cm

10. The base and height of a parallelogram are 10 cm and 8 cm respectively. What is its area?

A) 80 sq. cm B) 18 sq. cm C) 40 sq. cm D) 90 sq. cm

11. If sin(θ) = 3/5, what is cos(θ)?

A) 4/5 B) 5/4 C) 3/4 D) 5/3

12. What is the value of tan(60°)?

A) √3 B) 1/√3 C) 2 D) 1/2

13. If cos(θ) = 1/2, what is the value of θ in degrees?

A) 60° B) 30° C) 45° D) 90°

14. What is the value of sin²(θ) + cos²(θ)?

A) 1 B) 0 C) 2 D) sin(θ)cos(θ)

15. If tan(θ) = 1, what is the value of θ in degrees?

A) 45° B) 30° C) 60° D) 90°

16. What is the value of sec(0°)?

A) 1 B) 0 C) undefined D) ∞

17. If a right-angled triangle has an angle θ such that sin(θ) = 3/5, what is cos(θ)?

A) 4/5 B) 5/4 C) 3/4 D) 5/3

18. What is the value of cot(90°)?

A) 0 B) 1 C) undefined D) ∞

19. If tan(A) = 3/4 and tan(B) = 1/7, what is tan(A+B)?

A) 1 B) 2 C) 1/2 D) 3/4

20. What is the value of (sin(30°) + cos(60°)) / tan(45°)?

A) 1 B) 2 C) 0.5 D) 0

21. The perimeter of a square is 24 cm. What is its area?

A) 36 sq. cm B) 12 sq. cm C) 24 sq. cm D) 6 sq. cm

22. A rectangular garden is 15 meters long and 8 meters wide. What is its area?

A) 120 sq. m B) 23 sq. m C) 30 sq. m D) 46 sq. m

23. What is the sum of the interior angles of a pentagon?

A) 540° B) 360° C) 720° D) 180°

24. A cone has a radius of 3 cm and a height of 4 cm. What is its slant height?

A) 5 cm B) 7 cm C) 12 cm D) 25 cm

25. The diameter of a circle is 14 cm. What is its area?

A) 154 sq. cm B) 44 sq. cm C) 196 sq. cm D) 28 sq. cm

26. In a triangle ABC, angle B = 90°. If AB = 5 cm and BC = 12 cm, what is AC?

A) 13 cm B) 17 cm C) 10 cm D) 25 cm

27. What is the volume of a cylinder with radius 2 cm and height 7 cm?

A) 28π cubic cm B) 14π cubic cm C) 4π cubic cm D) 49π cubic cm

28. A rhombus has diagonals of length 12 cm and 10 cm. What is its area?

A) 60 sq. cm B) 22 sq. cm C) 120 sq. cm D) 30 sq. cm

29. If cos(θ) = 0, what is the value of θ in degrees?

A) 90° B) 0° C) 180° D) 270°

30. What is the value of sin(90°) + cos(0°)?

A) 2 B) 1 C) 0 D) 0.5

31. A sector of a circle has a radius of 7 cm and an angle of 60°. What is its area?

A) 154/6 sq. cm B) 49/6 sq. cm C) 154 sq. cm D) 49 sq. cm

32. If tan(θ) = √3, what is the value of θ in degrees?

A) 60° B) 30° C) 45° D) 90°

33. What is the lateral surface area of a cube with side length 4 cm?

A) 64 sq. cm B) 96 sq. cm C) 16 sq. cm D) 32 sq. cm

34. A triangle has base 10 cm and height 7 cm. What is its area?

A) 35 sq. cm B) 17 sq. cm C) 70 sq. cm D) 100 sq. cm

35. If sin(θ) = 1/2, what is the value of θ in degrees?

A) 30° B) 60° C) 45° D) 90°

36. What is the value of sec(60°)?

A) 2 B) 1/2 C) √3 D) 1/√3

37. The radius of a hemisphere is 6 cm. What is its volume?

A) 144π cubic cm B) 72π cubic cm C) 288π cubic cm D) 36π cubic cm

38. A regular hexagon has a side length of 10 cm. What is its area?

A) 150√3 sq. cm B) 75√3 sq. cm C) 300√3 sq. cm D) 50√3 sq. cm

39. If tan(θ) = 1/√3, what is the value of θ in degrees?

A) 30° B) 60° C) 45° D) 90°

40. What is the value of sin(0°) + cos(90°)?

A) 0 B) 1 C) 2 D) -1

41. The perimeter of a rectangle is 50 cm. If its length is 15 cm, what is its breadth?

A) 10 cm B) 20 cm C) 5 cm D) 25 cm

42. A right-angled triangle has angles 30°, 60°, and 90°. If the side opposite to 30° is 5 cm, what is the hypotenuse?

A) 10 cm B) 5√3 cm C) 15 cm D) 5 cm

43. What is the value of cot(30°)?

A) √3 B) 1/√3 C) 1 D) 2

44. The area of a trapezoid is 100 sq. cm. If its height is 10 cm and one parallel side is 8 cm, what is the other parallel side?

A) 12 cm B) 10 cm C) 20 cm D) 16 cm

45. If sin(θ) = cos(θ), what is the value of θ in degrees?

A) 45° B) 30° C) 60° D) 90°

46. What is the value of cosec(30°)?

A) 2 B) 1/2 C) √3 D) 1/√3

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

A) 360° B) 180° C) 540° D) 720°

48. A circle is inscribed in a square of side 14 cm. What is the area of the circle?

A) 154 sq. cm B) 49 sq. cm C) 196 sq. cm D) 98 sq. cm

49. What is the value of (tan(45°) + sin(30°)) / cos(60°)?

A) 3 B) 1.5 C) 2 D) 0.5

50. A cylinder has a radius of 5 cm and a height of 10 cm. What is its total surface area?

A) 150π sq. cm B) 50π sq. cm C) 100π sq. cm D) 200π sq. cm

Mensuration, Geometry and Trigonometry - Online Test

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