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
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
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
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
65. Which of the following numbers belong to the series 5, 13, 21, 29, 37, …..
(1) 2018
(2) 2005
(3) 2010
(4) 2017
66.
(1) 12 15/47
(2) 2 2/11
(3) 9 59/60
(4) 35/73
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
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
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
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
71. 52, 63, 82, 99, ___
(1) 181
(2) 110
(3) 133
(4) 151
72. 5, 10, 26, 50, ____
(1) 55
(2) 100
(3) 122
(4) 79
73. ACF, EGJ, IKN,___QSV, UWZ
(1) OQT
(2) MOR
(3) QSV
(4) NPS
74. BCE, EGK, KMQ, ____
(1) QSW
(2) QSU
(3) QTX
(4) QSV
75. ____, XUR, VQL, TMF
(1) YUQ
(2) ZXU
(3) YWT
(4) ZYX
76. In 1921 All India Khilafat conference was held at
(1) Karachi
(2) Bombay
(3) Poona
(4) Nagpur
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
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
79. After the conquest in A. D. 1323, Delhi Sultans renamed Warangal as,..
(1) Sultan nagar
(2) Sultanapur
(3) Sultan pattanam
(4) Sultangam
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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