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1 . |
Direction (Q. 1-5): What will come in place of question mark (?) in the following number series ?
15,9619,18835,27671,36135,44235,?
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Answer & Explanation
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Answer : Option
B
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| Explanation : |
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+(98)2, +(96)2, +(94)2, +(92)2 .....
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2 . |
1335,2205,3387,4929,6879, ?
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Answer & Explanation
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Answer : Option
C
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| Explanation : |
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(11)3 + 4, (13)3 + 8, (15)3 + 12 ........
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3 . |
6642,6806,6972,7140,7310,7482, ?
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Answer & Explanation
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Answer : Option
D
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| Explanation : |
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(81 x 82), (82 x 83), (83 x 84) ......
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4 . |
36,576,3600,14400,44100, ?
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Answer & Explanation
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Answer : Option
B
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| Explanation : |
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(12 x 22 x 32), (22 x 32 x 42) .....
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5 . |
371,329,385,809,2681,?
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Answer & Explanation
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Answer : Option
C
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| Explanation : |
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10 + (19)2 = 371
40 + (17)2 = 329
160 + (15)2 = 385
640 + (13)2 = 809
2560 + (11)1 = 2681
10240 + (9)2 = 10321
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6 . |
Direction (Q. 6-10): In each of these questions, two equations are given. You have to solve these equations and find out the values of 'x' and' y'.
l. 2x2 - x - 21 = 0 ll. 2y2 - 3y - 27 = 0
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Answer & Explanation
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Answer : Option
D
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| Explanation : |
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1. 2x2 - x - 21 = 0
or 2x2 - 7x + 6x - 21 = 0
or x(2x - 7) +3 (2x - 7) = 0
or (x + 3) (2x - 7) = 0
∴ x = -3, 7/2
ll. 2y2 - 3y - 27 = 0
or 2y2 - 9y + 6y - 27 = 0
or y(2y - 9) + 3 (2y - 9) = 9
or (y + 3) (2y - 9) = 0
∴ y = -3, 9/2
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7 . |
17x - 10 = 0 ll. 7y2 - 24y + 20 = 0
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Answer & Explanation
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Answer : Option
D
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| Explanation : |
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l. 7x - 10 = 0
or 7x = 10
∴ x = 10/7
ll. 7y2 - 24y + 20 = 0
or 7y2 - 14y - 10y + 20 = 0
or 7y(y - 2) - 10(y - 2) = 0
or (7y - 10) (y - 2) = 0
∴ y = 2, 10/7
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8 . |
l. 2x2 - 27x + 90 = 0 ll. y2 + 2y - 48 = 0
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Answer & Explanation
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Answer : Option
B
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| Explanation : |
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l. 2x2 - 27x + 90 = 0
or 2x2 - 12x - 15x + 90 = 0
or 2x(x - 6) - 15(x - 6) = 0
or (2x - 5) (x - 6) = 0
∴ x = 6, 15/2
ll. y2 + 2y - 48 = 0
or y2 + 8y - 6y - 48 = 0
or y(y + 8) - 6 (y + 8) = 0
or (y - 6) (y + 8) = 0
∴ y = 6, -8
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9 . |
l. 12x - 7y = 41 ll. 5x + 3y = 94
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Answer & Explanation
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Answer : Option
C
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| Explanation : |
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(I) x 5 60x - 35y = 205
(ll) x 12 60x + 36y = 1128
71y = 923
∴ y = 13, x = 11
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10 . |
l. 2x2 - 23x + 65 = 0 ll. 3y2 - 29y + 70 = 0
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Answer & Explanation
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Answer : Option
B
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| Explanation : |
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l. 2x2 - 23x + 65 = 0
or 2x2 - 10x - 13x + 65 = 0
or 2x(x - 5) - 13(x - 5) = 0
or (2x - 13) (x - 5) = 0
∴ x = 5, 13/2
ll. 3y2 - 29y + 70 = 0
or 3y2 - 15y - 14y + 70 = 0
or 3y(y - 5) -14 (y - 5) = 0
or (y - 5) (3y - 14) = 0
∴ y = 5, 14/3
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