SBI Clerk - Mensuration, Basic Algebra, Basic Geometry Online Test (MCQ Quiz)

1. A rectangular field is 50 meters long and 40 meters wide. What is its perimeter?

A) 180 meters B) 200 meters C) 220 meters D) 190 meters

2. The area of a square is 144 square centimeters. What is the length of its side?

A) 10 cm B) 12 cm C) 14 cm D) 16 cm

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

A) 44 cm B) 49 cm C) 56 cm D) 42 cm

4. If the length of a rectangle is twice its width, and its area is 72 square meters, what is its length?

A) 6 meters B) 12 meters C) 18 meters D) 24 meters

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

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

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

A) 40 sq cm B) 80 sq cm C) 50 sq cm D) 100 sq cm

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

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

8. Solve for y: 3y - 7 = 14

A) 5 B) 6 C) 7 D) 8

9. What is the value of 2a + 3b if a = 4 and b = 2?

A) 14 B) 10 C) 12 D) 16

10. If a² - b² = 20 and a - b = 4, what is the value of a + b?

A) 3 B) 5 C) 8 D) 10

11. What is the sum of the interior angles of a hexagon?

A) 540 degrees B) 720 degrees C) 900 degrees D) 1080 degrees

12. In a triangle ABC, if angle A = 60 degrees and angle B = 70 degrees, what is angle C?

A) 40 degrees B) 50 degrees C) 60 degrees D) 70 degrees

13. What is the area of a parallelogram with base 12 cm and height 5 cm?

A) 30 sq cm B) 60 sq cm C) 17 sq cm D) 24 sq cm

14. A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π = 3.14)

A) 282.6 cubic cm B) 94.2 cubic cm C) 31.4 cubic cm D) 188.4 cubic cm

15. If 2x + 3 = x + 8, what is the value of x?

A) 4 B) 5 C) 6 D) 7

16. What is the value of (x+y)² - (x-y)²?

A) 2xy B) 4xy C) x² + y² D) x² - y²

17. A chord of a circle is equal to its radius. What is the angle subtended by the chord at the center?

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

18. The diagonals of a rhombus are 12 cm and 16 cm. What is its area?

A) 96 sq cm B) 48 sq cm C) 192 sq cm D) 28 sq cm

19. What is the total surface area of a cone with radius r and slant height l?

A) πrl B) 2πr(r+l) C) πr(r+l) D) πr²l

20. If x/3 + x/4 = 7, what is the value of x?

A) 10 B) 12 C) 14 D) 16

21. Two angles of a triangle are in the ratio 2:3, and the third angle is 60 degrees. Find the other two angles.

A) 40 degrees and 60 degrees B) 48 degrees and 72 degrees C) 50 degrees and 70 degrees D) 60 degrees and 60 degrees

22. What is the length of the diagonal of a square with side length 8 cm?

A) 8√2 cm B) 16 cm C) 8 cm D) 16√2 cm

23. A rectangular tank is 10m long, 5m wide, and 2m deep. What is its capacity in cubic meters?

A) 17 cubic meters B) 100 cubic meters C) 50 cubic meters D) 20 cubic meters

24. If 5(x - 2) = 3x + 4, what is the value of x?

A) 4 B) 7 C) 9 D) 11

25. What is the value of a³ - b³ if a - b = 2 and ab = 3?

A) 10 B) 12 C) 14 D) 16

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

A) 81 sq cm B) 36 sq cm C) 18 sq cm D) 9 sq cm

27. What is the area of a circle with diameter 14 cm? (Use π = 22/7)

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

28. In a parallelogram ABCD, angle A = 75 degrees. What is the measure of angle B?

A) 75 degrees B) 105 degrees C) 115 degrees D) 125 degrees

29. What is the volume of a sphere with radius 3 cm? (Use π = 22/7)

A) 264/7 cubic cm B) 792/7 cubic cm C) 132/7 cubic cm D) 396/7 cubic cm

30. If x² - 9 = 0, what are the possible values of x?

A) 3 B) -3 C) 3 and -3 D) 9

31. A rectangular garden is 15 meters long and 10 meters wide. It is surrounded by a path 2 meters wide. What is the area of the path?

A) 64 sq meters B) 72 sq meters C) 136 sq meters D) 116 sq meters

32. If 2/3 of a number is 10, what is the number?

A) 15 B) 20 C) 25 D) 30

33. What is the value of √81 + √144?

A) 9 B) 12 C) 21 D) 25

34. In a right-angled triangle, the hypotenuse is 13 cm and one side is 5 cm. What is the length of the other side?

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

35. The area of a rhombus is 240 sq cm. If one of its diagonals is 20 cm, what is the length of the other diagonal?

A) 12 cm B) 24 cm C) 30 cm D) 48 cm

36. What is the lateral surface area of a cylinder with radius r and height h?

A) πr²h B) 2πrh C) 2πr(r+h) D) πr(r+h)

37. If 3x + 2y = 15 and x - y = 5, what is the value of x?

A) 5 B) 6 C) 7 D) 8

38. The sum of two numbers is 50 and their difference is 10. What are the numbers?

A) 20 and 30 B) 25 and 25 C) 30 and 20 D) 35 and 15

39. What is the measure of an exterior angle of an equilateral triangle?

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

40. A cone has a height of 12 cm and a slant height of 13 cm. What is its radius?

A) 3 cm B) 4 cm C) 5 cm D) 6 cm

41. If x = 2, what is the value of (3x² + 2x - 1)?

A) 11 B) 15 C) 17 D) 21

42. The area of a triangle is 54 sq cm. If its base is 12 cm, what is its height?

A) 6 cm B) 9 cm C) 12 cm D) 18 cm

43. What is the perimeter of a semicircle with radius r?

A) πr B) 2πr C) πr + 2r D) 2πr + r

44. If x/2 - x/3 = 4, what is the value of x?

A) 12 B) 18 C) 24 D) 36

45. What is the value of (a+b)(a-b)?

A) a² + b² B) a² - b² C) a² + 2ab + b² D) a² - 2ab + b²

46. A square is inscribed in a circle of radius 7 cm. What is the area of the square?

A) 49 sq cm B) 98 sq cm C) 147 sq cm D) 196 sq cm

47. If 4x - 5 = 2x + 7, what is the value of x?

A) 3 B) 4 C) 5 D) 6

48. What is the sum of the angles in a quadrilateral?

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

49. A rectangular prism has dimensions 4 cm, 5 cm, and 6 cm. What is its volume?

A) 15 cubic cm B) 30 cubic cm C) 60 cubic cm D) 120 cubic cm

50. If x:y = 2:3 and y:z = 4:5, what is x:z?

A) 2:5 B) 8:15 C) 3:5 D) 2:15

Mensuration, Basic Algebra, Basic Geometry - Online Test

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