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মডেল টেস্ট ৯৯ (মানসিক অংক ও লজিক্যাল সংখ্যা)

Math & Logic Skills 100 Questions By Chittagong College

মডেল টেস্ট ৯৯ (মানসিক অংক ও লজিক্যাল সংখ্যা) For those studying or preparing for, this page contains 100 important questions and answers arranged in sequence. Each question is accompanied by the correct answer and, where necessary, a detailed explanation to help clarify your concepts. Read carefully and assess your own preparation.

1. x² – 5x + 6 = 0 → α²+β² = ?

a) 13
b) 11
c) 7
d) 25
Answer: 13

2. x² – 7x + 10 = 0 → 1/α+1/β = ?

a) 5/7
b) 7/10
c) 10/7
d) 3/5
Answer: 7/10

3. x² + 6x + 8 = 0 → α²+β² = ?

a) 36
b) 28
c) 20
d) 12
Answer: 20

4. x² – 9x + 20 = 0 → α²+β² = ?

a) 41
b) 61
c) 81
d) 121
Answer: 41

5. x² + 5x + 6 = 0 → 1/α+1/β = ?

a) 5/6
b) 5/6
c) 6/5
d) 6/5
Answer: 5/6

6. x² – 4x + 3 = 0 → α³+β³ = ?

a) 28
b) 36
c) 16
d) 8
Answer: 8

7. x² + 7x + 12 = 0 → 1/α+1/β = ?

a) 7/12
b) 7/12
c) 12/7
d) 12/7
Answer: 7/12

8. x² – 10x + 21 = 0 → α²+β² = ?

a) 58
b) 42
c) 62
d) 79
Answer: 58

9. x² + 8x + 16 = 0 → α³+β³ = ?

a) 512
b) 256
c) 128
d) 64
Answer: 64

10. x² – 3x – 10 = 0 → 1/α+1/β = ?

a) 3/10
b) 3/10
c) 10/3
d) 10/3
Answer: 3/10

11. x² + 4x – 5 = 0 → α²+β² = ?

a) 26
b) 6
c) 18
d) 34
Answer: 26

12. x² – 11x + 30 = 0 → α³+β³ = ?

a) 1331
b) 1729
c) 2197
d) 1000
Answer: 1729

13. x² + 9x + 20 = 0 → α²+β² = ?

a) 81
b) 41
c) 61
d) 101
Answer: 41

14. x² – 2x – 15 = 0 → α³+β³ = ?

a) 8
b) 8
c) 32
d) 32
Answer: 32

15. x² + 3x – 18 = 0 → α²+β² = ?

a) 9
b) 45
c) 81
d) 27
Answer: 45

16. x² – 12x + 35 = 0 → α³+β³ = ?

a) 1728
b) 1331
c) 2197
d) 1000
Answer: 1728

17. x² + 10x + 25 = 0 → 1/α+1/β = ?

a) 2/5
b) 2/5
c) 5/2
d) 5/2
Answer: 2/5

18. x² – 13x + 40 = 0 → α²+β² = ?

a) 129
b) 89
c) 169
d) 109
Answer: 129

19. x² + 6x – 27 = 0 → 1/α+1/β = ?

a) 2/9
b) 2/9
c) 9/2
d) 9/2
Answer: 2/9

20. x² – 14x + 48 = 0 → α³+β³ = ?

a) 2744
b) 1728
c) 2197
d) 1331
Answer: 1728

21. x² – 6x + 9 = 0 → α²+β² = ?

a) 18
b) 36
c) 9
d) 27
Answer: 18

22. x² – 8x + 15 = 0 → 1/α+1/β = ?

a) 8/15
b) 15/8
c) 8/15
d) 15/8
Answer: 8/15

23. x² + 4x + 4 = 0 → α³+β³ = ?

a) 32
b) 64
c) 16
d) 8
Answer: 8

24. x² – 3x + 2 = 0 → α²+β² = ?

a) 5
b) 9
c) 7
d) 13
Answer: 5

25. x² – 9x + 14 = 0 → 1/α+1/β = ?

a) 9/14
b) 14/9
c) 9/14
d) 14/9
Answer: 9/14

26. x² + 2x – 15 = 0 → α³+β³ = ?

a) 8
b) 8
c) 32
d) 32
Answer: 32

27. x² – 10x + 25 = 0 → α²+β² = ?

a) 50
b) 100
c) 25
d) 75
Answer: 50

28. x² + 5x + 4 = 0 → 1/α+1/β = ?

a) 5/4
b) 5/4
c) 4/5
d) 4/5
Answer: 5/4

29. x² – 7x + 12 = 0 → α³+β³ = ?

a) 343
b) 512
c) 216
d) 125
Answer: 216

30. x² – 4x + 1 = 0 → α²+β² = ?

a) 14
b) 18
c) 10
d) 6
Answer: 14

31. x² + 6x + 5 = 0 → 1/α+1/β = ?

a) 6/5
b) 6/5
c) 5/6
d) 5/6
Answer: 6/5

32. x² – 11x + 18 = 0 → α³+β³ = ?

a) 1331
b) 729
c) 1728
d) 1000
Answer: 729

33. x² – 5x + 4 = 0 → α²+β² = ?

a) 17
b) 9
c) 13
d) 21
Answer: 17

34. x² + 3x – 10 = 0 → 1/α+1/β = ?

a) 3/10
b) 3/10
c) 10/3
d) 10/3
Answer: 3/10

35. x² – 12x + 20 = 0 → α³+β³ = ?

a) 1728
b) 1331
c) 2197
d) 1000
Answer: 1728

36. x² + 8x + 12 = 0 → α²+β² = ?

a) 64
b) 32
c) 40
d) 48
Answer: 40

37. x² – 13x + 36 = 0 → 1/α+1/β = ?

a) 13/36
b) 36/13
c) 13/36
d) 36/13
Answer: 13/36

38. x² + 4x – 12 = 0 → α³+β³ = ?

a) 64
b) 64
c) 128
d) 128
Answer: 64

39. x² – 6x + 8 = 0 → α²+β² = ?

a) 20
b) 28
c) 16
d) 12
Answer: 20

40. x² + 7x + 10 = 0 → 1/α+1/β = ?

a) 7/10
b) 7/10
c) 10/7
d) 10/7
Answer: 7/10

41. x² – 6x + 5 = 0 → α²+β² = ?

a) 26
b) 16
c) 20
d) 14
Answer: 26

42. x² + 4x + 3 = 0 → 1/α+1/β = ?

a) 4/3
b) 4/3
c) 3/4
d) 3/4
Answer: 4/3

43. x² – 8x + 12 = 0 → α³+β³ = ?

a) 512
b) 216
c) 343
d) 125
Answer: 216

44. x² + 5x + 6 = 0 → α²+β² = ?

a) 25
b) 13
c) 17
d) 29
Answer: 13

45. x² – 9x + 20 = 0 → 1/α+1/β = ?

a) 9/20
b) 20/9
c) 9/20
d) 20/9
Answer: 9/20

46. x² + 2x – 8 = 0 → α³+β³ = ?

a) 8
b) 8
c) 16
d) 16
Answer: 16

47. x² – 7x + 10 = 0 → α²+β² = ?

a) 29
b) 19
c) 39
d) 49
Answer: 29

48. x² + 6x + 8 = 0 → 1/α+1/β = ?

a) 6/8
b) 6/8
c) 8/6
d) 8/6
Answer: 6/8

49. x² – 10x + 21 = 0 → α³+β³ = ?

a) 1000
b) 729
c) 1331
d) 1728
Answer: 729

50. x² + 3x + 2 = 0 → α²+β² = ?

a) 13
b) 5
c) 9
d) 7
Answer: 7

51. x² – 4x + 3 = 0 → 1/α+1/β = ?

a) 4/3
b) 3/4
c) 4/3
d) 3/4
Answer: 4/3

52. x² + 7x + 12 = 0 → α³+β³ = ?

a) 512
b) 343
c) 216
d) 125
Answer: 216

53. x² – 5x + 6 = 0 → α²+β² = ?

a) 13
b) 17
c) 11
d) 15
Answer: 13

54. x² + 8x + 15 = 0 → 1/α+1/β = ?

a) 8/15
b) 8/15
c) 15/8
d) 15/8
Answer: 8/15

55. x² – 11x + 30 = 0 → α³+β³ = ?

a) 1331
b) 1729
c) 1000
d) 2197
Answer: 1729

56. x² + 4x + 4 = 0 → α²+β² = ?

a) 16
b) 32
c) 8
d) 24
Answer: 16

57. x² – 6x + 8 = 0 → 1/α+1/β = ?

a) 6/8
b) 8/6
c) 6/8
d) 8/6
Answer: 6/8

58. x² + 5x – 6 = 0 → α³+β³ = ?

a) 125
b) 125
c) 216
d) 216
Answer: 125

59. x² – 9x + 14 = 0 → α²+β² = ?

a) 53
b) 41
c) 29
d) 37
Answer: 53

60. x² + 6x + 9 = 0 → 1/α+1/β = ?

a) 2/3
b) 2/3
c) 3/2
d) 3/2
Answer: 2/3

61. x² – 12x + 35 = 0 → α³+β³ = ?

a) 1728
b) 1331
c) 2197
d) 1000
Answer: 1728

62. x² + 7x + 10 = 0 → α²+β² = ?

a) 29
b) 49
c) 39
d) 19
Answer: 29

63. x² – 13x + 36 = 0 → 1/α+1/β = ?

a) 13/36
b) 36/13
c) 13/36
d) 36/13
Answer: 13/36

64. x² + 8x + 16 = 0 → α³+β³ = ?

a) 512
b) 256
c) 128
d) 64
Answer: 64

65. x² – 14x + 45 = 0 → α²+β² = ?

a) 106
b) 121
c) 98
d) 110
Answer: 106

66. x² + 9x + 20 = 0 → 1/α+1/β = ?

a) 9/20
b) 9/20
c) 20/9
d) 20/9
Answer: 9/20

67. x² – 15x + 56 = 0 → α³+β³ = ?

a) 3375
b) 4096
c) 2744
d) 2197
Answer: 2744

68. x² + 10x + 25 = 0 → α²+β² = ?

a) 50
b) 100
c) 25
d) 75
Answer: 50

69. x² – 16x + 63 = 0 → 1/α+1/β = ?

a) 16/63
b) 63/16
c) 16/63
d) 63/16
Answer: 16/63

70. x² + 11x + 30 = 0 → α³+β³ = ?

a) 1331
b) 1729
c) 1000
d) 2197
Answer: 1729

71. x² – 17x + 72 = 0 → α²+β² = ?

a) 145
b) 169
c) 121
d) 153
Answer: 145

72. x² + 12x + 36 = 0 → 1/α+1/β = ?

a) 1/3
b) 1/3
c) 3
d) 3
Answer: 1/3

73. x² – 18x + 81 = 0 → α³+β³ = ?

a) 5832
b) 6561
c) 4096
d) 5120
Answer: 5832

74. x² + 13x + 42 = 0 → α²+β² = ?

a) 85
b) 97
c) 113
d) 121
Answer: 85

75. x² – 19x + 90 = 0 → 1/α+1/β = ?

a) 19/90
b) 90/19
c) 19/90
d) 90/19
Answer: 19/90

76. x² + 14x + 49 = 0 → α³+β³ = ?

a) 2744
b) 3375
c) 4096
d) 2197
Answer: 2744

77. x² – 20x + 99 = 0 → α²+β² = ?

a) 202
b) 200
c) 180
d) 210
Answer: 202

78. x² + 15x + 56 = 0 → 1/α+1/β = ?

a) 15/56
b) 15/56
c) 56/15
d) 56/15
Answer: 15/56

79. x² – 21x + 110 = 0 → α³+β³ = ?

a) 9261
b) 8000
c) 6859
d) 5832
Answer: 9261

80. x² + 16x + 64 = 0 → α²+β² = ?

a) 128
b) 256
c) 64
d) 192
Answer: 128

81. x² – 22x + 121 = 0 → 1/α+1/β = ?

a) 22/121
b) 121/22
c) 22/121
d) 121/22
Answer: 22/121

82. x² + 17x + 72 = 0 → α³+β³ = ?

a) 4913
b) 5832
c) 6859
d) 4096
Answer: 5832

83. x² – 23x + 132 = 0 → α²+β² = ?

a) 265
b) 243
c) 289
d) 300
Answer: 265

84. x² + 18x + 81 = 0 → 1/α+1/β = ?

a) 2/9
b) 2/9
c) 9/2
d) 9/2
Answer: 2/9

85. x² – 24x + 143 = 0 → α³+β³ = ?

a) 13824
b) 12167
c) 15625
d) 10648
Answer: 13824

86. x² + 19x + 90 = 0 → α²+β² = ?

a) 181
b) 199
c) 221
d) 209
Answer: 181

87. x² – 25x + 156 = 0 → 1/α+1/β = ?

a) 25/156
b) 156/25
c) 25/156
d) 156/25
Answer: 25/156

88. x² + 20x + 100 = 0 → α³+β³ = ?

a) 8000
b) 10000
c) 12000
d) 6000
Answer: 8000

89. x² – 26x + 169 = 0 → α²+β² = ?

a) 338
b) 300
c) 350
d) 320
Answer: 338

90. x² + 21x + 110 = 0 → 1/α+1/β = ?

a) 21/110
b) 21/110
c) 110/21
d) 110/21
Answer: 21/110

91. x² – 27x + 182 = 0 → α³+β³ = ?

a) 19683
b) 17576
c) 15625
d) 13824
Answer: 19683

92. x² + 22x + 121 = 0 → α²+β² = ?

a) 242
b) 200
c) 260
d) 220
Answer: 242

93. x² – 28x + 195 = 0 → 1/α+1/β = ?

a) 28/195
b) 195/28
c) 28/195
d) 195/28
Answer: 28/195

94. x² + 23x + 132 = 0 → α³+β³ = ?

a) 12167
b) 13824
c) 15625
d) 10648
Answer: 13824

95. x² – 29x + 210 = 0 → α²+β² = ?

a) 401
b) 350
c) 420
d) 380
Answer: 401

96. x² + 24x + 144 = 0 → 1/α+1/β = ?

a) 1/6
b) 1/6
c) 6
d) 6
Answer: 1/6

97. x² – 30x + 221 = 0 → α³+β³ = ?

a) 27000
b) 24389
c) 21952
d) 19683
Answer: 27000

98. x² + 25x + 156 = 0 → α²+β² = ?

a) 313
b) 281
c) 350
d) 330
Answer: 313

99. x² – 31x + 240 = 0 → 1/α+1/β = ?

a) 31/240
b) 240/31
c) 31/240
d) 240/31
Answer: 31/240

100. x² + 26x + 169 = 0 → α³+β³ = ?

a) 17576
b) 19683
c) 15625
d) 13824
Answer: 17576

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