PPSC Mathematics MCQs

This collection of Multiple Choice Questions (MCQs) for Mathematics is specifically designed for candidates preparing for the Punjab Public Service Commission (PPSC) examinations. It aims to strengthen your understanding of fundamental mathematical concepts and problem-solving techniques, which are essential for success in competitive exams and various public service roles.

Who Should Practice PPSC Mathematics MCQs?

PPSC Aspirants: Students preparing for the Punjab Public Service Commission examinations who want to excel in the Mathematics segment.
Job Seekers: Individuals aiming for positions within the provincial government of Punjab, where strong mathematical skills are essential.
Certification Candidates: Those preparing for professional certification exams that include a mathematics component, ensuring they are well-prepared for similar questions.
Math Enthusiasts: Anyone interested in improving their mathematical proficiency for personal or professional growth.
Strategic Test-Takers: Candidates focused on developing effective strategies for tackling diverse question types related to Mathematics in competitive exams.

1. What is the value of 25% of 200?

A) 25
B) 50
C) 75
D) 100

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2. The sum of angles in a triangle is:

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

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3. What is the average of the numbers 4, 8, 12, and 16?

A) 8
B) 10
C) 12
D) 14

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4. If a = 5 and b = 10, what is the value of 2a + 3b?

A) 35
B) 40
C) 45
D) 50

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

A) 15 cm
B) 30 cm
C) 50 cm
D) 20 cm

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6. Solve for x: 2x + 3 = 11.

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

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7. If 3x = 12, what is the value of x?

A) 2
B) 3
C) 4
D) 5

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8. What is the area of a circle with a radius of 7 cm? (Use π ≈ 22/7)

A) 44 cm²
B) 154 cm²
C) 88 cm²
D) 77 cm²

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9. Which of the following is a prime number?

A) 4
B) 9
C) 13
D) 21

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10. What is 15% of 60?

A) 6
B) 9
C) 12
D) 15

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11. What is the value of √64?

A) 6
B) 7
C) 8
D) 9

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12. If 5x = 45, what is the value of x?

A) 7
B) 8
C) 9
D) 10

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13. What is the ratio of 8 to 12?

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

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14. Which of the following is equivalent to 9/3?

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

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15. What is the volume of a cube with side length 3 cm?

A) 9 cm³
B) 27 cm³
C) 18 cm³
D) 12 cm³

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16. If a person travels 60 km in 1 hour, what is their speed in km/h?

A) 30 km/h
B) 60 km/h
C) 90 km/h
D) 120 km/h

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17. The greatest common divisor (GCD) of 24 and 36 is:

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

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18. What is 20% of 150?

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

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19. What is the formula for the area of a triangle?

A) 1/2 × base × height
B) base × height
C) length × width
D) π × radius²

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20. If x = 3, what is the value of 4x² + 2?

A) 38
B) 50
C) 44
D) 62

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21. A number decreased by 9 equals 15. What is the number?

A) 6
B) 15
C) 24
D) 21

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22. What is the next number in the series: 2, 4, 8, 16, …?

A) 20
B) 24
C) 32
D) 36

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23. What is the circumference of a circle with a diameter of 10 cm? (Use π ≈ 3.14)

A) 31.4 cm
B) 20 cm
C) 15.7 cm
D) 25 cm

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24. If the cost of 5 apples is $10, what is the cost of 1 apple?

A) $1
B) $2
C) $2.50
D) $3

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25. Solve for y: 3y – 4 = 11.

A) 3
B) 5
C) 7
D) 9

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26. What is the value of 7²?

A) 14
B) 49
C) 56
D) 64

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27. Which of the following represents the expression “five less than twice a number x”?

A) 2x – 5
B) 5 – 2x
C) 2x + 5
D) x – 5

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28. A rectangular field has a length of 40 m and a width of 30 m. What is the area?

A) 600 m²
B) 1200 m²
C) 1000 m²
D) 900 m²

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29. If the perimeter of a square is 24 cm, what is the length of one side?

A) 4 cm
B) 6 cm
C) 8 cm
D) 10 cm

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30. What is the least common multiple (LCM) of 3 and 5?

A) 10
B) 15
C) 30
D) 5

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31. What is the equation of a line with slope 2 and y-intercept 3?

A) y = 2x + 3
B) y = 3x + 2
C) y = 2x – 3
D) y = -2x + 3

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32. If a car travels 120 km in 2 hours, what is its average speed?

A) 50 km/h
B) 60 km/h
C) 70 km/h
D) 80 km/h

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33. What is 8 + (2 × 3)?

A) 14
B) 18
C) 12
D) 10

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34. Which of the following equations is linear?

A) y = x² + 2
B) y = 3x + 4
C) y = √x
D) y = 1/x

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35. The square root of 144 is:

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

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36. What is 3/4 + 1/2?

A) 1
B) 5/4
C) 3/2
D) 7/4

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37. If the sides of a triangle are 3 cm, 4 cm, and 5 cm, what type of triangle is it?

A) Acute
B) Right
C) Obtuse
D) Equilateral

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38. What is the slope of the line represented by the equation y = 4x + 1?

A) 1
B) 4
C) -4
D) 0

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39. What is the total surface area of a cube with side length 2 cm?

A) 12 cm²
B) 24 cm²
C) 48 cm²
D) 36 cm²

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40. If you roll a die, what is the probability of rolling a 3?

A) 1/6
B) 1/3
C) 1/2
D) 1/4

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41. The product of 6 and 7 is:

A) 42
B) 36
C) 48
D) 54

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42. How many degrees are in a right angle?

A) 45 degrees
B) 90 degrees
C) 180 degrees
D) 360 degrees

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43. If the cost of an item is $40 after a 20% discount, what was the original price?

A) $32
B) $50
C) $60
D) $70

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44. What is 10% of 250?

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

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45. If a train travels 90 km in 1.5 hours, what is its speed?

A) 50 km/h
B) 60 km/h
C) 70 km/h
D) 80 km/h

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46. What is the area of a rectangle with length 12 m and width 4 m?

A) 48 m²
B) 56 m²
C) 60 m²
D) 64 m²

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47. The value of x in the equation 5x + 3 = 18 is:

A) 2
B) 3
C) 4
D) 5

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48. What is the next number in the series: 5, 10, 20, 40, …?

A) 50
B) 80
C) 100
D) 120

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49. What is the height of a triangle with an area of 20 m² and a base of 5 m?

A) 5 m
B) 8 m
C) 10 m
D) 4 m

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50. If the circumference of a circle is 31.4 cm, what is the diameter? (Use π ≈ 3.14)

A) 7 cm
B) 10 cm
C) 15 cm
D) 20 cm

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51. Which of the following is a rational number?

A) √2
B) π
C) 1/4
D) 0.333…

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52. What is 5³?

A) 15
B) 25
C) 125
D) 100

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53. The distance between two points (3, 4) and (6, 8) is:

A) 3
B) 5
C) 6
D) 7

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

A) 360 degrees
B) 540 degrees
C) 720 degrees
D) 180 degrees

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55. If 3y = 9, what is the value of y?

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

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56. The expression 2(x + 3) simplifies to:

A) 2x + 6
B) 2x + 3
C) 2x + 9
D) x + 3

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57. What is 1000 divided by 25?

A) 20
B) 30
C) 40
D) 50

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58. If a shirt costs $30 after a 10% discount, what was the original price?

A) $33
B) $35
C) $36
D) $37

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59. A train leaves a station traveling at 60 km/h. How far will it travel in 2 hours?

A) 120 km
B) 130 km
C) 140 km
D) 150 km

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60. The area of a triangle with a base of 10 cm and height of 5 cm is:

A) 15 cm²
B) 20 cm²
C) 25 cm²
D) 30 cm²

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61. What is the slope of a horizontal line?

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

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62. What is the product of -3 and -5?

A) 15
B) -15
C) 0
D) 5

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

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

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64. What is the area of a rectangle with dimensions 8 m and 5 m?

A) 30 m²
B) 40 m²
C) 50 m²
D) 60 m²

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65. The expression (x² + 2x + 1) factors to:

A) (x + 1)(x + 1)
B) (x + 2)(x + 1)
C) (x + 1)(x – 1)
D) (x – 2)(x – 1)

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66. What is the value of 6! (6 factorial)?

A) 720
B) 60
C) 120
D) 36

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67. If the angles of a triangle are 50° and 60°, what is the third angle?

A) 70°
B) 80°
C) 90°
D) 100°

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68. What is 15% of 200?

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

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69. The circumference of a circle is calculated using which formula?

A) πr²
B) 2πr
C) πd
D) Both B and C

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70. What is the value of x in the equation 4x – 8 = 16?

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

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71. If a number is increased by 20%, what is the new number if the original number was 50?

A) 55
B) 60
C) 65
D) 70

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72. The sum of 3 and 5 is:

A) 6
B) 7
C) 8
D) 9

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73. What is the area of a circle with a radius of 3 cm? (Use π ≈ 3.14)

A) 28.26 cm²
B) 9.42 cm²
C) 12.56 cm²
D) 18.84 cm²

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74. What is 50% of 80?

A) 30
B) 35
C) 40
D) 45

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75. What is the cube of 3?

A) 6
B) 9
C) 27
D) 30

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76. What is the next number in the series: 1, 1, 2, 3, 5, …?

A) 7
B) 8
C) 9
D) 10

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77. A rectangle has a length of 8 cm and a width of 4 cm. What is its perimeter?

A) 24 cm
B) 32 cm
C) 36 cm
D) 40 cm

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78. If x – 5 = 10, what is the value of x?

A) 15
B) 10
C) 5
D) 0

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79. What is the volume of a cylinder with radius 3 cm and height 5 cm? (Use π ≈ 3.14)

A) 20 cm³
B) 28.26 cm³
C) 45 cm³
D) 94.2 cm³

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80. If a number is divided by 4, and the result is 6, what is the number?

A) 24
B) 20
C) 16
D) 12

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81. The median of the set {2, 4, 6, 8, 10} is:

A) 6
B) 5
C) 4
D) 8

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82. If the angles of a triangle are 30°, 60°, and 90°, what type of triangle is it?

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

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83. The distance from (2, 3) to (5, 7) is:

A) 5
B) 4
C) √13
D) √10

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84. What is the sum of 15 and 25?

A) 30
B) 40
C) 50
D) 60

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85. What is the probability of flipping a coin and getting heads?

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

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86. If 2x + 5 = 15, what is the value of x?

A) 2
B) 5
C) 7
D) 10

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87. What is the area of a trapezoid with bases 10 m and 6 m and height 4 m?

A) 32 m²
B) 40 m²
C) 48 m²
D) 56 m²

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88. The expression (x + 2)(x + 3) expands to:

A) x² + 5x + 6
B) x² + 6x + 5
C) x² + 6x + 8
D) x² + 5x + 4

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89. What is 30% of 300?

A) 60
B) 70
C) 80
D) 90

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90. The square of 9 is:

A) 81
B) 18
C) 27
D) 36

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91. If the radius of a circle is doubled, how does the area change?

A) Stays the same
B) Doubles
C) Triples
D) Quadruples

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92. The equation 2x – 4 = 10 can be solved to find x as:

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

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93. A student scored 70 out of 100 in a test. What is their percentage?

A) 60%
B) 70%
C) 80%
D) 90%

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94. If the perimeter of a triangle is 24 cm and its sides are 6 cm, 8 cm, and x cm, what is the value of x?

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

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95. What is the sum of the first five prime numbers?

A) 28
B) 26
C) 30
D) 24

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96. A farmer has 12 apples, and he gives away 4. How many apples does he have left?

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

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97. What is 9 + 15 – 4?

A) 20
B) 22
C) 24
D) 26

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98. If a book costs $15 after a 25% discount, what was the original price?

A) $20
B) $25
C) $30
D) $35

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99. What is the least common multiple (LCM) of 4 and 6?

A) 12
B) 18
C) 24
D) 30

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

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

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