61. If 𝞪 and β satisfy the equations 3x + 7y= 5 and 11x + 5y = 7 then 31(𝞪 + β) =
(1) 12
(2) 29
(3) 31
(4) 1
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62. If the system of equations 2x+3y=4 and 6x+9y=k has no solution, then the value (s) of
k is (are)
(1) 12
(2) all real values except 6
(3) all real values except 4
(4) all real values except 12
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63. If the system of cquations 7x-y- 5=0 and ax-5y-25=0 has infinite number of solutions, then for k∈IR the general Solution (x,y) of the system is Show Answer Hide Answer
64. If the sum of three consecutive numbers in a geometric progression is 26 and the sum of their squares is 364, then the product of those numbers is
(1) 216
(2) 125
(3) 343
(4) 512
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65. Which of the following numbers belong to the series 5, 13, 21, 29, 37, …..
(1) 2018
(2) 2005
(3) 2010
(4) 2017
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66.
(1) 12 15/47
(2) 2 2/11
(3) 9 59/60
(4) 35/73
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67. If 3 unbiased coins are tossed simultaneously, then the probability of getting at most one
head is
(1) ⅛
(2) ¼
(3) ⅜
(4) ½
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68. When two unbiased dice are rolled, the probability of getting prime numbers on both the
dice is
(1) ⅙
(2) 4/9
(3) 2/9
(4) ¼
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69. If a card is drawn at random from a well shuffled pack of 52 playing cards, then the probability of getting a red coloured face is
(1) 2/13
(2) 1/13
(3) 3/26
(4) 3/52
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Directions for the questions Irom 70 to 75
In each of the series given in the questions from 70 to 75, there is a blank space. Find the correct option that fits in the series and mark it as your answer.
In each of these
70. 13, 17, 25, 32, 37, 47, _____
(1) 60
(2) 58
(3) 64
(4) 54
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71. 52, 63, 82, 99, ___
(1) 181
(2) 110
(3) 133
(4) 151
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72. 5, 10, 26, 50, ____
(1) 55
(2) 100
(3) 122
(4) 79
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73. ACF, EGJ, IKN,___QSV, UWZ
(1) OQT
(2) MOR
(3) QSV
(4) NPS
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74. BCE, EGK, KMQ, ____
(1) QSW
(2) QSU
(3) QTX
(4) QSV
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75. ____, XUR, VQL, TMF
(1) YUQ
(2) ZXU
(3) YWT
(4) ZYX
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76. In 1921 All India Khilafat conference was held at
(1) Karachi
(2) Bombay
(3) Poona
(4) Nagpur
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77. Who is known as the political Guru of Subhas Chandra Bose?
(1) C. R. Das
(2) G. K. Gokhale
(3) M. K. Gandhi
(4) Devendra Nath Tagore
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78. In 1908, Bala Gangadhar Tilak was imprisoned for six years and was sent to the place under
stated
(1) Madras
(2) Erravada
(3) Singapore
(4) Mandalay
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79. After the conquest in A. D. 1323, Delhi Sultans renamed Warangal as,..
(1) Sultan nagar
(2) Sultanapur
(3) Sultan pattanam
(4) Sultangam
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80. The word ‘Tambayadanam’ is noticed in the Buddist site at the following place
(1) Chandavaram
(2) Amaravati
(3) Bhattiprolu
(4) Kotturu
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