IBPS Clerk - Mensuration, Statistics, Algebra Online Test (MCQ Quiz)

1. What is the formula for the area of a rectangle?

A) side * side B) length * width C) 2 * (length + width) D) 1/2 * base * height

2. The perimeter of a square is 36 cm. What is its area?

A) 81 sq cm B) 36 sq cm C) 144 sq cm D) 9 sq cm

3. A circle has a radius of 7 cm. What is its circumference? (Use pi = 22/7)

A) 44 cm B) 154 sq cm C) 22 cm D) 88 cm

4. What is the formula for the volume of a cuboid?

A) side^3 B) l * w * h C) 2*(lw + wh + hl) D) 4/3 * pi * r^3

5. A triangle has a base of 10 cm and a height of 8 cm. What is its area?

A) 18 sq cm B) 40 sq cm C) 80 sq cm D) 30 sq cm

6. The diameter of a circle is 14 cm. What is its area? (Use pi = 22/7)

A) 44 sq cm B) 154 sq cm C) 616 sq cm D) 308 sq cm

7. What is the formula for the lateral surface area of a cylinder?

A) 2 * pi * r * (r + h) B) pi * r^2 * h C) 2 * pi * r * h D) 4 * pi * r^2

8. 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

9. The sum of the first 'n' natural numbers is given by which formula?

A) n(n+1)/2 B) n(n+1)(2n+1)/6 C) n^2 D) (n(n+1)/2)^2

10. What is the median of the dataset: 2, 5, 1, 8, 3?

A) 2 B) 3 C) 5 D) 8

11. If x + 5 = 10, what is the value of x?

A) 3 B) 5 C) 15 D) 2

12. What is the mode of the dataset: 4, 7, 4, 8, 4, 9, 7?

A) 4 B) 7 C) 8 D) 9

13. What is the formula for the volume of a sphere?

A) 4/3 * pi * r^3 B) pi * r^2 * h C) 4 * pi * r^2 D) 2 * pi * r

14. If 2x - 3 = 7, what is the value of x?

A) 4 B) 5 C) 10 D) 2

15. The mean of a dataset is 15. The sum of the observations is 75. How many observations are there?

A) 3 B) 5 C) 10 D) 15

16. What is the formula for the area of a trapezoid?

A) 1/2 * (a+b) * h B) a * b C) 1/2 * base * height D) pi * r^2

17. If a = 3 and b = 4, what is the value of a^2 + b^2?

A) 7 B) 12 C) 25 D) 49

18. What is the probability of getting a head when a fair coin is tossed?

A) 0 B) 1/2 C) 1 D) 1/4

19. The lengths of the parallel sides of a trapezoid are 6 cm and 10 cm, and its height is 5 cm. What is its area?

A) 30 sq cm B) 40 sq cm C) 80 sq cm D) 50 sq cm

20. If x/2 = 5, what is the value of x?

A) 2.5 B) 7 C) 10 D) 25

21. What is the standard deviation of the dataset: 5, 5, 5, 5?

A) 0 B) 1 C) 5 D) 25

22. What is the formula for the surface area of a cube?

A) side^3 B) 6 * side^2 C) side^2 D) 12 * side

23. If 3x + 2 = 11, what is the value of x?

A) 3 B) 9 C) 13 D) 7/3

24. What is the range of the dataset: 10, 2, 8, 5, 12?

A) 2 B) 8 C) 10 D) 12

25. The perimeter of a triangle is 24 cm. If two sides are 7 cm and 9 cm, what is the length of the third side?

A) 8 cm B) 16 cm C) 23 cm D) 2 cm

26. What is the formula for the area of a parallelogram?

A) base * height B) 2 * (length + width) C) side * side D) 1/2 * diagonal1 * diagonal2

27. If x^2 = 16, what are the possible values of x?

A) 4 B) -4 C) 4 and -4 D) 8

28. What is the probability of rolling a 6 on a standard six-sided die?

A) 1/6 B) 1 C) 0 D) 6

29. A cuboid has dimensions 5 cm, 4 cm, and 3 cm. What is its volume?

A) 12 cu cm B) 19 cu cm C) 60 cu cm D) 240 cu cm

30. If x - 7 = 2, what is the value of x?

A) 5 B) 9 C) 14 D) -5

31. What is the median of the dataset: 10, 20, 30, 40, 50?

A) 10 B) 20 C) 30 D) 50

32. What is the formula for the volume of a cylinder?

A) 2 * pi * r * h B) pi * r^2 * h C) 4/3 * pi * r^3 D) pi * r^2

33. If 5x = 20, what is the value of x?

A) 4 B) 15 C) 25 D) 100

34. What is the sum of the interior angles of a quadrilateral?

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

35. A square has an area of 64 sq meters. What is its side length?

A) 4 meters B) 8 meters C) 16 meters D) 32 meters

36. What is the formula for the total surface area of a cylinder?

A) 2 * pi * r * h B) pi * r^2 * h C) 2 * pi * r * (r + h) D) 4 * pi * r^2

37. If x + y = 10 and x - y = 2, what is the value of x?

A) 5 B) 6 C) 8 D) 12

38. What is the mean of the dataset: 1, 3, 5, 7, 9?

A) 1 B) 5 C) 9 D) 15

39. A right-angled triangle has legs of length 6 cm and 8 cm. What is the length of the hypotenuse?

A) 10 cm B) 14 cm C) 48 cm D) 100 cm

40. What is the formula for the area of a rhombus?

A) side^2 B) 1/2 * d1 * d2 C) base * height D) 4 * side

41. If 2(x + 3) = 10, what is the value of x?

A) 2 B) 5 C) 7 D) 8

42. What is the mode of the dataset: 1, 2, 2, 3, 3, 3, 4?

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

43. A sector of a circle has a radius of 10 cm and a central angle of 90 degrees. What is the area of the sector? (Use pi = 3.14)

A) 31.4 sq cm B) 78.5 sq cm C) 157 sq cm D) 314 sq cm

44. If x = 5, what is the value of 3x - 7?

A) 8 B) 10 C) 15 D) 22

45. What is the range of the dataset: 50, 10, 30, 20, 40?

A) 10 B) 20 C) 30 D) 40

46. What is the formula for the sum of cubes of the first 'n' natural numbers?

A) n(n+1)/2 B) (n(n+1)/2)^2 C) n(n+1)(2n+1)/6 D) n^2

47. A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume? (Use pi = 22/7)

A) 1570/7 cu cm B) 785/7 cu cm C) 157 cu cm D) 785 cu cm

48. If 3x + 5y = 11 and x + y = 3, what is the value of y?

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

49. What is the probability of drawing an even number from the set {1, 2, 3, 4, 5, 6}?

A) 1/6 B) 1/3 C) 1/2 D) 2/3

50. What is the surface area of a sphere with radius 3 cm? (Use pi = 3.14)

A) 28.26 sq cm B) 56.52 sq cm C) 84.78 sq cm D) 113.04 sq cm

Mensuration, Statistics, Algebra - Online Test

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