6.Q. Solve for x if lxl - 1 < 1-x where lxl represents modulus function of x
Anonymous Quiz
25%
(A) (1 ∞)
41%
(B) (-∞ 1)
22%
(C) (-1 1)
13%
(D) (-1 ∞)
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7.Q. If α and β be the roots of quadratic equation x² - 2x -5 =0 and Sₙ = (Cos⁴θ)αⁿ + (Sin⁴θ)βⁿ then the value of ( (S₈-2S₇)/5S₆) +((S₆-2S₅)/5S₄) =
Anonymous Quiz
26%
(A) 4
36%
(B) 6
26%
(C) 2
12%
(D) 1
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8.Q. What will be remainder on dividing (1+X)ⁿ by X
Anonymous Quiz
17%
(A) X
26%
(B) n
35%
(C) 1
21%
(D) None of these
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9.Q. Calculate value of {(1+18)¹⁸¹⁸/18} = , where {X} Denotes fractional part of X function.
Anonymous Quiz
17%
(A) 0
30%
(B) 0.18
38%
(C) 1/18
15%
(D) 0.1818
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11.Q. If [X] Denotes greatest Integer Function and {X} Denotes fractional part of X function and K = (29×31×55×93×224×74)/15, then the value of [K] and {K} will be?
Anonymous Quiz
31%
(A) [K] can determine and {K} = 1/15
46%
(B) [K] can determine and {K} = 0
16%
(C) [K] = 15 and {K} = 1/15
7%
(D) None of these
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12.Q. If [X] denotes greatest integer function less than or equal to X and {X} denotes fractional part of X function and if M = (35×53×24×75×125×197)/18, So correct option will be ?
Anonymous Quiz
34%
(A) [M] = M and {M} = 0
37%
(B) [M] not equal to M and {M} = 0.18
19%
(C) [M] = 18 and {M} = 1/18
10%
(D) None of these
👍7❤3
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13.Q. Solve for x ? if [(x² - x +1)/(x² +1)] > 0
Anonymous Quiz
33%
(A) x ∈ R
31%
(B) x ∈ (0 ∞)
28%
(C) x ∈ (-1 ∞)
8%
(D) x ∈ (-∞ 0)
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14.Q. If the roots of equation (x-a)(x-b) - k = 0 be c and d, then the roots of equation (x-c)(x-d) + k =0 will be ?
Anonymous Quiz
20%
(A) c-k and d-k
38%
(B) c+k and d+k
31%
(C) a and b
10%
(D) a+k and b+k
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15.Q If One roots of the quadratic equation X² + 4X + k =0 is three time to the other root then the value of k will be
Anonymous Quiz
22%
(A) 4
39%
(B) 3
30%
(C) 1/3
8%
(D) 1/4
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16.Q. Square of a pure imaginary number is a ?
Anonymous Quiz
35%
(A) Imaginary number
35%
(B) Negative Real number
24%
(C) Positive Real number
6%
(D) None of these
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