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CSS MPT Practice Test

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2. General Abilities

Arithmetic (1–15)

1. A number is increased by 20% and then decreased by 20%. The net change is:
A. 0%
B. 2% decrease
C. 4% decrease
D. 4% increase
2. A trader marks an article 25% above cost price and gives a discount of 10%. His profit percentage is:
A. 10%
B. 11.5%
C. 12.5%
D. 15%
3. The ratio of two numbers is 7:11. If their difference is 48, the larger number is:
A. 84
B. 88
C. 132
D. 176
4. A sum doubles itself in 8 years at simple interest. The annual rate is:
A. 10%
B. 12.5%
C. 15%
D. 20%
5. A train 180 m long crosses a platform 270 m long in 18 seconds. Its speed is:
A. 20 m/s
B. 22.5 m/s
C. 25 m/s
D. 30 m/s
6. If 3x + 2y = 24 and x − y = 2, then x equals:
A. 4
B. 5
C. 6
D. 7
7. The average of 12 numbers is 35. If one number 47 is replaced by 71, the new average is:
A. 36
B. 37
C. 38
D. 39
8. A can do a job in 12 days and B in 18 days. Working together, they will complete it in:
A. 6 days
B. 7.2 days
C. 7.5 days
D. 8 days
9. The least number that leaves remainder 2 when divided by 5, 6 and 7 is:
A. 207
B. 210
C. 212
D. 422
10. If 15% of a number equals 36, then 35% of that number is:
A. 72
B. 80
C. 84
D. 90
11. A shopkeeper mixes tea costing Rs.800/kg and Rs.1200/kg in the ratio 3:2. Cost per kg of mixture is:
A. 920
B. 960
C. 1000
D. 1040
12. A man spends 75% of his income. If his income rises by 20% and expenditure rises by 10%, his savings increase by:
A. 30%
B. 40%
C. 50%
D. 60%
13. The HCF of 72, 108 and 180 is:
A. 12
B. 18
C. 24
D. 36
14. A sum becomes Rs.16,200 in 2 years at 8% compound interest. The principal was:
A. 13,500
B. 13,888.89
C. 14,000
D. 15,000
15. If x:y = 4:7 and y:z = 14:15, then x:y:z is:
A. 4:14:15
B. 8:14:15
C. 8:14:30
D. 8:14:15

Algebra (16–30)

16. If x + 1/x = 5, then x² + 1/x² equals:
A. 21
B. 23
C. 25
D. 27
17. Solve: 2x² − 7x + 3 = 0
A. 3, 1/2
B. 2, 3/2
C. 1, 3
D. 1/2, 2
18. If a − b = 4 and ab = 21, then a + b equals:
A. 8
B. 10
C. 12
D. 14
19. The value of 1/2 + 1/6 + 1/12 is:
A. 2/3
B. 3/4
C. 5/6
D. 11/12
20. If 2x+1 = 32, then x is:
A. 3
B. 4
C. 5
D. 6
21. The product of roots of 3x² − 7x + 2 = 0 is:
A. -2/3
B. 2/3
C. 7/3
D. 3/2
22. If x² − y² = 45 and x − y = 5, then x + y equals:
A. 7
B. 8
C. 9
D. 10
23. The value of (99)² is:
A. 9801
B. 9900
C. 9999
D. 10001
24. If x = 2 satisfies x² + ax + 6 = 0, then a equals:
A. -4
B. -5
C. -6
D. -8
25. Simplify: (x² − 9) / (x − 3)
A. x − 3
B. x + 3
C. x² + 3
D. x² − 3
26. The sum of first 20 natural numbers is:
A. 190
B. 200
C. 210
D. 220
27. If 32x = 81, then x equals:
A. 1
B. 2
C. 3
D. 4
28. The next term: 2, 6, 12, 20, 30, ?
A. 40
B. 42
C. 44
D. 48
29. If a = 2, b = 3, c = 4, then ab + bc + ca equals:
A. 24
B. 25
C. 26
D. 28

Geometry & Mensuration (31–40)

30. A polynomial has roots 2 and −3. The quadratic polynomial is:
A. x² + x − 6
B. x² − x − 6
C. x² + 5x + 6
D. x² − 5x + 6
31. The sum of interior angles of a hexagon is:
A. 540°
B. 720°
C. 900°
D. 1080°
32. A right triangle has sides 5 cm and 12 cm. Hypotenuse is:
A. 11
B. 12
C. 13
D. 14
33. Area of a circle with radius 7 cm:
A. 44π
B. 49π
C. 98π
D. 154π
34. The diagonal of a square of side 10 cm is:
A. 5√2
B. 10√2
C. 20√2
D. 100√2
35. A cube has volume 216 cm³. Surface area is:
A. 144 cm²
B. 180 cm²
C. 216 cm²
D. 252 cm²
36. The circumference of a circle is 44 cm. Radius is:
A. 6 cm
B. 7 cm
C. 8 cm
D. 9 cm
37. If two angles of a triangle are 45° and 65°, the third angle is:
A. 60°
B. 65°
C. 70°
D. 80°
38. Area of a rectangle whose perimeter is 50 cm and length is 15 cm:
A. 120 cm²
B. 140 cm²
C. 150 cm²
D. 160 cm²
39. The exterior angle of a regular pentagon is:
A. 60°
B. 72°
C. 90°
D. 108°
40. The volume of a cylinder of radius 3 cm and height 10 cm is:
A. 30π
B. 60π
C. 90π
D. 180π

Logical & Analytical Reasoning (41–60)

41. Find the odd one out:
A. 64
B. 81
C. 121
D. 143
42. Complete the series: 3, 8, 15, 24, 35, ?
A. 46
B. 48
C. 50
D. 52
43. If PAKISTAN is coded as QBLJTUBO, then LAHORE is coded as:
A. MBIPSF
B. MBHPSF
C. MBIQSF
D. NBIQSF
44. Ali is taller than Bilal but shorter than Kamran. Bilal is taller than Danish. Who is shortest?
A. Ali
B. Bilal
C. Danish
D. Kamran
45. A clock shows 3:15. Angle between hands:
A. 0°
B. 7.5°
C. 15°
D. 22.5°
46. Which number replaces the question mark? 2, 6, 12, 20, 30, 42, ?
A. 54
B. 56
C. 60
D. 62
47. All roses are flowers. Some flowers fade quickly. Which conclusion follows?
A. All roses fade quickly
B. Some roses fade quickly
C. No rose fades quickly
D. None follows
48. A man walks 5 km north, 3 km east, 5 km south. He is now:
A. 3 km east of start
B. 3 km west of start
C. 5 km east of start
D. At start
49. If yesterday was Monday, what day will be after tomorrow?
A. Wednesday
B. Thursday
C. Friday
D. Saturday
50. Find missing term: AZ, BY, CX, DW, ?
A. EV
B. EU
C. FV
D. FW
51. A family has six members A, B, C, D, E, F. A is father of B. C is mother of D. B and D are siblings. E is maternal grandfather of D. How is C related to B?
A. Sister
B. Mother
C. Aunt
D. Grandmother
52. All engineers are graduates. Some graduates are researchers. Which conclusion follows?
A. All researchers are engineers
B. Some researchers are engineers
C. No engineer is researcher
D. Cannot be determined
53. Find the next number: 1, 4, 9, 16, 25, ?
A. 30
B. 32
C. 36
D. 49
54. A code language writes BOOK as 2111511. Then PEN is:
A. 16514
B. 16513
C. 16512
D. 16515
55. If 5 + 3 = 28, 6 + 2 = 16, 8 + 4 = 48, then 9 + 3 = ?
A. 24
B. 27
C. 36
D. 54
56. How many triangles are in a regular hexagon formed by joining its center to all vertices?
A. 4
B. 5
C. 6
D. 8
57. A cube has all surfaces painted. It is cut into 27 equal smaller cubes. Number of cubes having exactly two painted faces:
A. 8
B. 12
C. 6
D. 24
58. Choose the missing term: ACE, BDF, CEG, DFH, ?
A. EGI
B. EGH
C. FGI
D. FHJ
59. A statement is true if and only if exactly one of the following is true: (i) P is true (ii) Q is true. If P is true, Q must be:
A. True
B. False
C. Cannot be determined
D. Both
60. Five persons sit in a row. A is left of B. C is right of B. D is between A and B. E is at one end. Who sits in the middle?
A. A
B. B
C. C
D. D
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