USAT Practice Test | Quantitative Reasoning

Quantitative Reasoning

Arithmetic (Q21–Q26)

21. What is 25% of 320?
    A. 40
    B. 60
    C. 80
    D. 100
    
    
22. A shopkeeper bought a bag for Rs. 2400 and sold it for Rs. 3000. What was the profit?
    A. Rs. 400
    B. Rs. 500
    C. Rs. 600
    D. Rs. 700
    
    
23. Simplify: 48 ÷ 6 × 3
    A. 8
    B. 16
    C. 24
    D. 30
    
    
24. The average of 10, 20, 30, and 40 is:
    A. 20
    B. 25
    C. 30
    D. 35
    
    
25. A train travels 180 km in 3 hours. What is its speed?
    A. 50 km/h
    B. 55 km/h
    C. 60 km/h
    D. 65 km/h
    
    
26. What is the value of: 7² − 5²
    A. 12
    B. 20
    C. 24
    D. 30

Algebra and Functions (Q27–Q30)

27. If x = 4, find the value of: 3x + 5
    A. 15
    B. 17
    C. 19
    D. 21
    
    
28. Simplify: 2a + 5a − 3a
    A. 2a
    B. 3a
    C. 4a
    D. 5a
    
    
29. If f(x) = 2x + 1, then f(5) equals:
    A. 9
    B. 10
    C. 11
    D. 12
    
    
30. Solve: 5y = 45
    A. 5
    B. 7
    C. 8
    D. 9

Geometry (Q31–Q33)

31. What is the perimeter of a rectangle with length 8 cm and width 5 cm?
    A. 13 cm
    B. 26 cm
    C. 40 cm
    D. 80 cm
    
    
32. The sum of angles in a triangle is:
    A. 90°
    B. 180°
    C. 270°
    D. 360°
    
    
33. Find the area of a square with side 9 cm.
    A. 18 cm²
    B. 36 cm²
    C. 72 cm²
    D. 81 cm²

Equations (Q34–Q36)

34. Determine the value of x: x + 9 = 21
    A. 10
    B. 11
    C. 12
    D. 13
    
    
35. Solve for the value of x: 2x − 4 = 16
    A. 8
    B. 9
    C. 10
    D. 12
    
    
36. If 3a + 2 = 20, then a =
    A. 4
    B. 5
    C. 6
    D. 7

Statistics (Q37–Q39)

37. Find the median of: 2, 4, 6, 8, 10
    A. 4
    B. 5
    C. 6
    D. 8
    
    
38. What is the mode of the following numbers?
    3, 5, 5, 7, 8, 5, 9
    A. 3
    B. 5
    C. 7
    D. 9
    
    
39. The mean of 6, 8, and 10 is:
    A. 6
    B. 7
    C. 8
    D. 9

Scenario-Based / Mental Mathematics (Q40–Q45)

40. A pen costs Rs. 25. How much will 8 pens cost?
    A. Rs. 150
    B. Rs. 175
    C. Rs. 200
    D. Rs. 225
    
    
41. Ali had Rs. 500. He spent Rs. 185. How much money is left?
    A. Rs. 295
    B. Rs. 305
    C. Rs. 315
    D. Rs. 325
    
    
42. A class has 24 boys and 16 girls. What is the total number of students?
    A. 30
    B. 35
    C. 40
    D. 45
    
    
43. A car uses 5 liters of petrol to travel 50 km. How much petrol is needed for 100 km?
    A. 5 liters
    B. 8 liters
    C. 10 liters
    D. 12 liters
    
    
44. The price of a shirt after a 20% discount is Rs. 800. What was the original price?
    A. Rs. 900
    B. Rs. 950
    C. Rs. 1000
    D. Rs. 1200
    
    
45. A worker earns Rs. 1200 per day. How much will he earn in 7 days?
    A. Rs. 7200
    B. Rs. 8400
    C. Rs. 9000
    D. Rs. 9600