IBPS Clerk - Trigonometry basic, Geometry basic Online Test (MCQ Quiz)

1. In a right-angled triangle, if one acute angle is 30 degrees, what is the measure of the other acute angle?

A) 30 degrees B) 45 degrees C) 60 degrees D) 90 degrees

2. What is the value of sin(0°)?

A) 0 B) 1/2 C) 1 D) Undefined

3. If a triangle has sides of length 3, 4, and 5 units, what type of triangle is it?

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

4. What is the value of cos(90°)?

A) 0 B) 1/2 C) 1 D) Undefined

5. The sum of the interior angles of a triangle is always:

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

6. What is the ratio of the side opposite to an angle to the hypotenuse in a right-angled triangle?

A) Cosine B) Tangent C) Sine D) Cotangent

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

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

8. What is the value of tan(45°)?

A) 0 B) 1/2 C) 1 D) √3

9. In a circle, a diameter divides the circle into how many equal parts?

A) Two semicircles B) Four quadrants C) Six sectors D) Eight segments

10. What is the fundamental trigonometric identity relating sine and cosine?

A) sin²θ + cos²θ = 1 B) tan²θ + 1 = sec²θ C) 1 + cot²θ = csc²θ D) sinθ = cos(90° - θ)

11. If the angle of elevation of the sun is 45°, what is the ratio of the height of a vertical object to its shadow length?

A) 1:1 B) 1:√3 C) √3:1 D) 2:1

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

A) b * h B) 1/2 * b * h C) b + h D) 2 * b * h

13. What is the value of sin(90°)?

A) 0 B) 1/2 C) 1 D) √3/2

14. In a parallelogram, opposite angles are:

A) Always equal B) Always supplementary C) Always complementary D) Never equal

15. What is the value of cos(0°)?

A) 0 B) 1/2 C) 1 D) Undefined

16. The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse is equal to:

A) The sum of the squares of the other two sides B) The difference of the squares of the other two sides C) The product of the other two sides D) The square of one of the other sides

17. What is the value of tan(60°)?

A) 1/√3 B) 1 C) √3 D) 2

18. If a chord of a circle subtends an angle of 90° at the center, it is:

A) A radius B) A diameter C) A tangent D) A secant

19. What is the value of sin(30°)?

A) 1/2 B) √3/2 C) 1 D) 0

20. Which trigonometric ratio is the reciprocal of sine?

A) Cosine B) Tangent C) Secant D) Cosecant

21. What is the value of cos(60°)?

A) 1/2 B) √3/2 C) 1 D) 0

22. In a triangle, if two sides are equal, then the angles opposite to these sides are:

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

23. What is the value of tan(30°)?

A) 1/2 B) 1/√3 C) √3 D) 1

24. If two lines intersect, the vertically opposite angles are:

A) Always equal B) Always supplementary C) Always complementary D) Never equal

25. What is the value of sin(60°)?

A) 1/2 B) √3/2 C) 1 D) 0

26. Which trigonometric ratio is the reciprocal of tangent?

A) Sine B) Cosine C) Cotangent D) Cosecant

27. In a circle, the angle subtended by an arc at the center is double the angle subtended by the same arc at any point on the:

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

28. What is the value of cos(30°)?

A) 1/2 B) √3/2 C) 1 D) 0

29. If an angle in a triangle is 90 degrees, it is called a:

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

30. What is the value of sin(45°)?

A) 1/2 B) 1/√2 C) √3/2 D) 1

31. Which trigonometric ratio is the reciprocal of cosine?

A) Sine B) Tangent C) Cotangent D) Secant

32. In any triangle ABC, the sine rule states that a/sin(A) = b/sin(B) = c/sin(C) is equal to:

A) 2R (where R is the circumradius) B) R C) R/2 D) 1/R

33. What is the value of cos(45°)?

A) 1/2 B) 1/√2 C) √3/2 D) 1

34. If a triangle has all angles less than 90 degrees, it is called a(n):

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

35. What is the value of tan(90°)?

A) 0 B) 1 C) √3 D) Undefined

36. In a circle, a radius is a line segment connecting the center to:

A) Another point on the circumference B) The center of the circle C) A point outside the circle D) The diameter

37. The identity 1 + tan²θ = sec²θ is derived from which fundamental identity?

A) sin²θ + cos²θ = 1 B) sinθ = cos(90° - θ) C) tanθ = sinθ/cosθ D) cotθ = cosθ/sinθ

38. What is the value of sin(180°)?

A) 0 B) 1/2 C) 1 D) Undefined

39. If a triangle has one angle greater than 90 degrees, it is called a(n):

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

40. What is the value of cos(180°)?

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

41. The ratio of the side adjacent to an angle to the hypotenuse in a right-angled triangle is:

A) Sine B) Cosine C) Tangent D) Cosecant

42. In a triangle, if a line is drawn parallel to one side, it divides the other two sides proportionally. This is the:

A) Pythagorean Theorem B) Basic Proportionality Theorem C) Sine Rule D) Cosine Rule

43. What is the value of tan(180°)?

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

44. What is the value of sin(270°)?

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

45. What is the value of cos(270°)?

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

46. What is the value of tan(270°)?

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

47. What is the value of sin(360°)?

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

48. What is the value of cos(360°)?

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

49. What is the value of tan(360°)?

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

50. In a right-angled triangle, the sides are in the ratio 3:4:5. If the smallest side is 6 cm, what is the length of the hypotenuse?

A) 8 cm B) 10 cm C) 12 cm D) 15 cm

Trigonometry basic, Geometry basic - Online Test

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