Math Chapter Wise

EnglishUKPSC Lecturer (Mains) 2020

Q141.If X, Y, Z are any three sets such that X Y Z, ⊆ ⊆ then Z – (Y – X) =

AX (Z Y)/∪ − BX (Z Y)/− ∪ CX (Y Z)/∪ − DX (Z Y)/− −

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EnglishUKPSC Lecturer (Mains) 2020

Q142.A relation R is defined on the set of positive integers as xRy if 2x + y≤5. The relation R is:

Areflexive Btransitive Csymmetric DNone of these

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EnglishUKPSC Lecturer (Mains) 2020

Q143.If n 1 1 A 1,3 n n = + − for all natural numbers n, then n N ∪ ∈ An is, where N is the set of natural numbers.

A[1,3] B(1,3] C[1,3) D(1,3)

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EnglishUKPSC Lecturer (Mains) 2020

Q144.Range of the function 3 2 f() 3 10 2sin = + + + x x x x x, for all R ∈ x is:

A(0, 2) B(,) −∞ ∞ C(,0) −∞ D(0,) ∞

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EnglishUKPSC Lecturer (Mains) 2020

Q145.A market research group conducted a survey of 1000 consumers and reported that 720 consumers liked product A and 450 liked product B. The number of consumers that have liked both products is:

A150 B170 C160 D180

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EnglishUKPSC Lecturer (Mains) 2020

Q146.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

Q147.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

Q148.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

Q149.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

Q150.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

Q151.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)

Q152.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)

Q153.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

Q154.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

Q155.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

Q156.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

Q157.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

Q158.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

Q159.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

Q160.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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