HEC HAT-General Practice Test

Algebra

51. Solve for x: 3x + 5 = 20
    A. 3
    B. 4
    C. 5
    D. 6
    
    
52. If x = 4 and y = 3, then x² + y² equals:
    A. 20
    B. 22
    C. 25
    D. 30
    
    
53. Solve: 2x − 7 = 15
    A. 9
    B. 10
    C. 11
    D. 12
    
    
54. If 5x = 45, then x equals:
    A. 7
    B. 8
    C. 9
    D. 10
    
    
55. Simplify: 2(a + 3) when a = 5
    A. 14
    B. 15
    C. 16
    D. 18
    
    
56. Solve: x/4 = 6
    A. 20
    B. 22
    C. 24
    D. 26
    
    
57. If y = 2x + 1 and x = 5, then y equals:
    A. 9
    B. 10
    C. 11
    D. 12
    
    
58. Solve for x: x² = 81
    A. 7
    B. 8
    C. 9
    D. 10
    
    
59. Simplify: 3x + 2x − 4 when x = 2
    A. 4
    B. 5
    C. 6
    D. 8
    
    
60. If a = 2 and b = 4, find ab + b
    A. 8
    B. 10
    C. 12
    D. 14

Geometry

61. The perimeter of a square with side 8 cm is:
    A. 24 cm
    B. 28 cm
    C. 32 cm
    D. 36 cm
    
    
62. The area of a rectangle of length 12 cm and width 5 cm is:
    A. 50 cm²
    B. 55 cm²
    C. 60 cm²
    D. 65 cm²
    
    
63. A triangle has angles 60°, 70°, and:
    A. 40°
    B. 50°
    C. 60°
    D. 70°
    
    
64. The circumference of a circle is calculated by:
    A. πr²
    B. 2πr
    C. πd²
    D. r²
    
    
65. The area of a square with side 9 cm is:
    A. 72 cm²
    B. 81 cm²
    C. 90 cm²
    D. 99 cm²
    
    
66. A right angle measures:
    A. 45°
    B. 60°
    C. 90°
    D. 180°
67. The area of a right-angle triangle with base “b” and perpendicular “p” is calculated by:
    A. bp
    B. 2bp
    C. ½bp
    D. b + p
    
    
68. How many sides does a hexagon have?
    A. 5
    B. 6
    C. 7
    D. 8

Word Problems

69. Ali bought 5 pens at Rs. 20 each. How much did he pay?
    A. Rs. 80
    B. Rs. 90
    C. Rs. 100
    D. Rs. 120
    
    
70. A train travels 240 km in 4 hours. Its speed is:
    A. 50 km/h
    B. 55 km/h
    C. 60 km/h
    D. 65 km/h
    
    
71. A shopkeeper gains Rs. 200 by selling an item for Rs. 1200. The cost price was:
    A. Rs. 900
    B. Rs. 1000
    C. Rs. 1100
    D. Rs. 1400
    
    
72. If 8 notebooks cost Rs. 640, what is the cost of one notebook?
    A. Rs. 60
    B. Rs. 70
    C. Rs. 80
    D. Rs. 90
    
    
73. A student scored 420 marks out of 500. His percentage is:
    A. 80%
    B. 82%
    C. 84%
    D. 86%
    
    
74. A number is divided by 5 and the result is 12. The number is:
    A. 50
    B. 55
    C. 60
    D. 65
    
    
75. A man earns Rs. 1500 per day. How much will he earn in 12 days?
    A. Rs. 16,000
    B. Rs. 17,000
    C. Rs. 18,000
    D. Rs. 19,000