Math Chapter Wise

EnglishUKPSC Lecturer (Mains) 2020

Q141.The domain of the real valued function f() 2 | | 1 | | = − + + x x x is:

A[2,6] B[ − 2,6] C[8,12] D[ − 2,2]

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EnglishUKPSC Lecturer (Mains) 2020

Q142.The number of subsets of the set A = {0,1,2,3}, containing element 1 is:

A2 B8 C16 D24

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EnglishUKPSC Lecturer (Mains) 2020

Q143.Let A and B be two sets defined as follows: A = {(x, y)∈R2: 4x2 + 9y2 - 24x- 54y + 81≤0 } B = {(x, y)∈R2: | x -3| < 1 and |y - 3| < 1 } The is A B ∩ equal to:

AB BA Cφ DNone of these

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EnglishHaryana PGT 2019

Q144.Range of f(x) = sin–1 2 x +1 x + 2 is:

A0, 2 π B0, 6 π C, 6 2 π DNone of these

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EnglishHaryana PGT 2019

Q145.Let R is relation defined in set {1,2,3,4} such that R = {(1,1), (1,2) (2,2) (4,4) (1,3) (3,3) (3,2)}, then:

AR is reflexive and symmetric. BR is reflexive and transitive. CR is symmetric and transitive. DR is symmetric.

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EnglishHaryana TGT 2019

Q146.In an examination 80% students passed in English and 85% students passed in mathematics. If 73% students passed in both these subjects, then what percent of students failed in both the subjects?

A20% B8% C15% D27%

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EnglishDSSSB TGT 04-09-2021 Shift-I (Male)

Q147.If y is in terms of variable x as y = f (x) then y is known as

Aidentity function Bexplicit function Cimplicit function Dlinear function

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EnglishDSSSB TGT 04-09-2021 Shift-I (Male)

Q148.Discover the number of possible relations in an anti-symmetric relation with 19 elements.

A1.9×3 64 B2.02×1087 C13.5×932 D19.34×791

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EnglishUK SSSC LT 2020

Q149.The range of the function 2 16 x − − is:

A[–4, 4] B[0, 4] C[–4, 0] D[4, –4]

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EnglishHaryana PGT 2020

Q150.The domain of the function () 2 10 5x - x f x = log 4 is:

A[0, 5] B[1, 4] C[1, 2] D[0, 1]

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EnglishHaryana PGT 2020

Q151.Let ∈ x A = {(x,y) y = e,x R}, B = () ∈ { x,y y = x, x R}, then:

AB ⊂ A BA ⊂ B CA ∩ B = φ DA ∪ B = A

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EnglishHaryana PGT 2020

Q152.If f: R → → → R, where R is set of real numbers, such that f(x) = ex, then f is:

Asurjective only Binjective only Cbijective Dneither surjective nor injective

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EnglishHaryana PGT 2018

Q153.If () () 0.3 0.09 log x -1 < log x -1, then x lies in the interval:

A() 2, 1 − − B() 1, 1 − − C() 1,2 D() 2,∞

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EnglishHaryana PGT 2018

Q154.Let () () () ≥ 2 f x = x +1 -1, x -1,then the set () () -1 S = {x:f x = f x } is:

AEmpty B{0, – 1} C{0, 1, – 1} D3 i 3 3 i 3 0, 1, 2 2 − + − − −

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EnglishHaryana PGT 2018

Q155.Let f(x) = x and g(x) = |x| for all x ∈ R, then the function φ(x) satisfying () () () () φ 2 x -f x ]+[ x - g x = 0 is:

A(x) x | x |,x R φ = + ∈ B(x) x,x R φ = ∈ C() (x) x,x,0 φ = − ∈ −∞ D() (x) x,x 0, φ = ∈ ∞

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EnglishUKPSC GIC 2018

Q156.If 0 < a < 1 and x > y, then

ALogax > Logay BLogax < Logay CLogax = Logay DNone of these

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EnglishUKPSC GIC 2018

Q157.Let A and B be two sets such that n(A) = 20, n(A∪ ∪ ∪B) = 42 and n(A∩ ∩ ∩B) = 4, then the value of n(B) is

A16 B20 C26 D30

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EnglishUKPSC GIC 2018

Q158.If A and B are two given sets, then A∩ ∩ ∩(A∩ ∩ ∩B)C is:

AA BB CA∩BC DAC/∩B

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EnglishUKPSC GIC 2018

Q159.The value of the parameter α, for which the function f(x) = 1+αx, α ≠ 0 is the inverse of itself, is

A–2 B–1 C2 D1

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EnglishUP. PCS (Pre)1994 UP TGT-2016 (08-03-2019)

Q160.If 2 cos x f(x), 1 sin x = + then the value of f 3f ' 4 4 π − is

A0 B1 C3 D4

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