1. A train covers a distance of 400 km at a speed of 20 km/h. How much time will it take?
(A) 20 hours
(B) 18 hours
(C) 25 hours
(D) None of these
2. What is the value of 8.73 × 8.73 × 8.73 + 4.27 × 4.27 × 4.27?
(A) 827.5
(B) 832.0
(C) 837.0
(D) None of these
3. What is the value of 0.085 ÷ 0.017?
(A) 5
(B) 4
(C) 3
(D) None of these
4. A train arrives at 15:06. If it started its journey 5¼ hours ago, what was the starting time?
(A) 9:36
(B) 9:51
(C) 9:41
(D) None of these
5. What is the cost of fencing a square park with a side of 50 meters at the rate of Rs. 8 per meter?
(A) Rs. 1600
(B) Rs. 2000
(C) Rs. 1800
(D) None of these
6. For 3x + 2y = 7 and 6x + m y = 14, the system has infinite solutions when m = ?
(A) 2
(B) 3
(C) 4
(D) 5
7. 170 teachers out of 200 were present. % present?
(A) 70%
(B) 80%
(C) 85%
(D) 90%
8. Circumference of a circle equals the perimeter of a square. The circle’s area is?
(A) Equal
(B) Less than
(C) Greater than
(D) None of these
9. If amount increased 25% = 4,450,000, original amount?
(A) 3,600,000
(B) 3,560,000
(C) 3,800,000
(D) 3,900,000
10. A person’s age after 15 years = 4 × present age – 15. Present age?
(A) 20
(B) 25
(C) 30
(D) 10
11. Pair of equations y = 2 and y = -5 has?
(A) Unique Solution
(B) Infinite Solution
(C) No Solution
(D) Linear Solution
12. Perimeter of triangle with vertices (0,4), (0,0), (3,0)?
(A) 7
(B) 10
(C) 12
(D) 14
13. Complete the number series: 6, 9, 18, 45, 126, ?
(A) 250
(B) 378
(C) 405
(D) 486
14. The discount price is 20% less than retail. James buys at an additional 30% off that discounted price. What % of retail did he pay?
(A) 56%
(B) 66%
(C) 76%
(D) None of these
15. At simple interest, a sum becomes 3 times itself in 20 years. In how many years does it become double at the same rate?
(A) 8 years
(B) 10 years
(C) 12 years
(D) None of these
16. A cuboid tank holds 50,000 litres. If length = 2.5 m and depth = 10 m, find breadth.
(A) 4 m
(B) 2 m
(C) 6 m
(D) None of these
17. The least value form of 39/26 is?
(A) 3/2
(B) 4/5
(C) 2/3
(D) None of these
18. If |n – 2| = 10, what is the sum of the two possible values of n?
(A) 4
(B) 6
(C) 12
(D) None of these
19. How many tangents can be drawn to a circle?
(A) 1
(B) 2
(C) 360
(D) Infinite
20. If A is (4, –1) and B is (3, 5), what is AB² (square of the distance)?
(A) 26
(B) 37
(C) 136
(D) 121
21. Which one is odd in the sequence: 19, 26, 33, 40, 47, 53?
(A) 53
(B) 33
(C) 26
(D) None of these
22. What is the next number in the sequence 1, 1, 2, 6, 24?
(A) 120
(B) 60
(C) 100
(D) None of these
23. A man goes N 7 km, W 2 km, S 4 km, W 2 km. How far from start?
(A) 4 km
(B) 5 km
(C) 7 km
(D) None of above
24. Average age of 13 boys is 13. Two more join and average rises by 2. Sum of ages of the two new boys?
(A) 26
(B) 30
(C) 50
(D) 56
25. If numerator is ≥ denominator, the fraction is?
(A) Proper
(B) Improper
(C) Mixed fraction
(D) Unit fraction
26. Daniyal sold a chair for Rs. 800 bought for Rs. 1000. % loss?
(A) 20%
(B) 10%
(C) 15%
(D) 25%
27. A dishwasher can wash 12 dishes in 6 minutes. How many in 3 hours?
(A) 330
(B) 340
(C) 380
(D) 360
28. Find the volume of a cylinder if r = 4 cm and h = 10 cm.
(A) 402.656 cm³
(B) 502.656 cm³
(C) 602.656 cm³
(D) 702.656 cm³
29. Solve for x: 4^ − 7 × 4^x = 1
(A) 5
(B) 6
(C) 7
(D) 8
30. Find the time when Simple Interest = 81, Principal = 450, Rate = 5%.
(A) 2.6 years
(B) 3.6 years
(C) 4.6 years
(D) 5.6 years
31. 51 + 5 − 3 + 7 − 5.1 = ?
(A) 55.9
(B) 54.9
(C) 53.9
(D) 52.9
32. A + B = 12, A + B + C = 8. Find C.
(A) 4
(B) 5
(C) 6
(D) 7
33. Solve: x² + 18x + 81 = 0. Factor form?
(A) (x + 8)²
(B) (x – 9)²
(C) (x + 9)²
(D) (x – 8)²
34. What is the discount % if the original price is $1500 and the selling price is $1200?
(A) 10%
(B) 15%
(C) 20%
(D) 25%
35. The point (0, -7) lies in which quadrant?
(A) Quadrant I
(B) Quadrant II
(C) Quadrant III
(D) Lies on Y-axis
36. If one factor of x² − 3x − 10 = 0 is (x − 5), what is the other factor?
(A) (x + 2)
(B) (x – 2)
(C) (x + 5)
(D) (x – 10)
37. If a number is multiplied by three-fourths of itself, the result is 10700. What is the number?
(A) 40
(B) 50
(C) 60
(D) 70
38. What is the result of 50 − 15.5?
(A) 34.5
(B) 35.5
(C) 65.5
(D) 50.5
39. A & B can do a work in 12 days, B & C in 8 days, and C & A in 6 days. How long would B take alone?
(A) 24
(B) 32
(C) 30
(D) 48
40. Total surface area of a sphere of radius 3 cm is?
(A) 110 cm²
(B) 113 cm²
(C) 123 cm²
(D) 116 cm²
41. If 15 toys cost Rs. 234, what do 35 toys cost?
(A) Rs. 526
(B) Rs. 556
(C) Rs. 536
(D) Rs. 546
42. What comes next in the series 64, 48, 40, 36, 34, ______?
(A) 31
(B) 33
(C) 32
(D) None of these
43. What is the missing number in the series 48, 45, 40, 33, 24, _____?
(A) 8
(B) 13
(C) 10
(D) None of these
44. Ayat ul Kursi is in which Surah of the Holy Quran?
(A) Surah Al-Baqarah
(B) Surah An-Nisa
(C) Surah Al-A’raf
(D) None of these
45. The distance of the point P(2,3) from the X-axis is _____?
(A) 4
(B) 3
(C) 2
(D) None of these
46. If y ∝ x² and when x = 2, y = 20, what is y when x = 3?
(A) 45
(B) 15
(C) 30
(D) None of these
47. Three years ago, the average age of a family of 5 was 17. A baby was born and the average now is the same. The baby’s present age is _____?
(A) 4
(B) 2
(C) 3
(D) None of these
48. The value of (1+1/x)(1+1/(x+1))(1+1/(x+2))(1+1/(x+3)) equals _____?
(A) 1/x
(B) (x+4)/x
(C) x+4
(D) None of these
49. If 1/5 of 3000 keyboards are out of order, how many remain functional?
(A) 2400
(B) 2000
(C) 2200
(D) None of these
50. $1000 at 2% simple annual interest for 3 years yields total interest of?
(A) $20
(B) $40
(C) $60
(D) None of these
51. If a square has side 5 cm, what is its area?
(A) 25 cm²
(B) 10 cm²
(C) 15 cm²
(D) None of these
52. What is the ratio of 400 meters to 2 kilometers?
(A) 1:5
(B) 1:4
(C) 2:5
(D) None of these
53. If a girl jumps 820 times in an hour, how many in 30 minutes?
(A) 300
(B) 350
(C) 410
(D) 470
54. Train leaves at 21:30 and reaches at 7:30. How long is the journey?
(A) 9 Hours
(B) 10 Hours
(C) 11 Hours
(D) 8 Hours
55. Pakistan and China decided which city as an industrial hub for joint venture?
(A) Faisalabad / Gwadar
(B) Karachi
(C) Sialkot
(D) Islamabad
56. Sin 90 × Cos 90 equals:
(A) 1
(B) -1
(C) 0
(D) Any of the above
57. If ABCD is a square where A(2,3), B(6,7), C(10,1), then D = ?
(A) (6,3)
(B) (-6,-3)
(C) (6,-3)
(D) (6,5)
58. In a 5-class arrangement, rows and columns are equal. If rows are K, columns are?
(A) K
(B) 2K
(C) 1.5K
(D) 3K
59. 78 students are 30% of the class. Total students?
(A) 200
(B) 260
(C) 320
(D) 280
60. The diameter of a round table is 7 meters. Distance around it?
(A) 22 meters
(B) 18 meters
(C) 15 meters
(D) None of these
61. One mile is equal to ______?
(A) 1 kilometer
(B) 1.4 kilometer
(C) 1.5 kilometer
(D) 1.6 kilometer
62. A bag has 9 kg sugar split into 450 g packets. How many packets?
(A) 18
(B) 20
(C) 24
(D) None of these
63. If 54 is subtracted from 3 times a number, the result is 36. The number?
(A) 20
(B) 25
(C) 30
(D) 50
64. If 6 + 5x = 30 − x then x = ?
(A) 4
(B) 5
(C) 6
(D) 8
65. x is 20% more than z and y is 80% more than z. Find x : y.
(A) 2 : 3
(B) 3 : 4
(C) 1 : 3
(D) 1 : 4
66. A number is increased by 20% and then decreased by 20%. Net change?
(A) Does not change
(B) Decreased by 4%
(C) Increased by 4%
(D) None
67. Complete the series: 2, 4, 12, 48, 240, _____?
(A) 1240
(B) 1340
(C) 1040
(D) 1440
68. If 3/11 of a number is 22, what is 6/11 of that number?
(A) 6
(B) 44
(C) 12
(D) 33
69. If 6 × 2 = 31, 8 × 4 = 42, 2 × 2 = 11, 6 × 6 = 33, then 8 × 6 = ?
(A) 45
(B) 46
(C) 78
(D) 43
70. If the volume and surface area of a sphere are equal, what is its radius?
(A) 1 unit
(B) 2 units
(C) 3 units
(D) 4 units
71. 12 men can do a work in 24 days. In how many days will 8 men do it?
(A) 34 days
(B) 36 days
(C) 40 days
(D) None of these
72. If a car travels 120 miles in 2 hours, how far in 3 hours at same speed?
(A) 120 miles
(B) 150 miles
(C) 180 miles
(D) 240 miles
73. A completes a work in 12 days; B in 24 days. Together they finish in ______
(A) 6
(B) 8
(C) 10
(D) 12
74. Four numbers: average of first three is 15, of last three is 16; last number is 19. First number?
(A) 15
(B) 17
(C) 16
(D) 20
75. What is the 101st term of the sequence: 1, 4, 7, 10, ____?
(A) 301
(B) 304
(C) 209
(D) 300
76. Mr. Rehan ordered a car worth Rs. 600,000 and paid Rs. 570,000. % discount?
(A) 5%
(B) 7%
(C) 8%
(D) 11%
77. The sum of 3 + 0.3 + 0.03 + 0.003 is
(A) 3.03
(B) 3.003
(C) 3.003
(D) None of the above
78. Which number will come next? 3, 5, 7, 10, 12, 14, 24, 26, _____
(A) 52
(B) 30
(C) 28
(D) 48
79. A man pointing to a photograph said, “I have no brother or sister but that man’s father is my father’s son.” The person in the photograph is his?
(A) Brother
(B) Father
(C) Son
(D) Nephew