Math Chapter Wise

EnglishOAVS TGT 2017

Q81.Which of the following graphs does not represent a function?

AImage/graph option A BImage/graph option B CImage/graph option C DImage/graph option D

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EnglishOAVS TGT 2017

Q82.If A and B are two finest sets, then ∪ ∩ A (B C) =?

A(A B) C/∪ ∩ BB) ∪ ∩ ∩ (A (A C) C() B C ∩ ∩ A D() A B U (A C) ∩ ∩

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EnglishKVS TGT 2017

Q83.If X = {8n –7n–1: n∈N} and Y = {49n – 49: n∈N}, then–

AX ⊂ Y BY ⊂ X CX = Y DX ∩Y = φ

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EnglishKVS TGT 2017

Q84.Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively–

A4,7 B5,8 C7,4 D8,5

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EnglishKVS TGT 2017

Q85.If A and B are two sets and A' denotes the complement of A, then A ∩ ∩ ∩ (A ∪ ∪ ∪ B)′ ′ ′ is equal to–

AA BB Cφ DA ∪ B

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EnglishKVS TGT 2017

Q86.Range of f(x) = 1 1 2cosx is –

A1,1 3 B1 1, 3 C1 (, 1], 3 D1,1 3

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EnglishKVS TGT 2017

Q87.If A and B are two sets, then A ∪ ∪ ∪ (A ∩ ∩ ∩ B) equals–

AA ∩ B Bφ CB DA

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EnglishKVS TGT 2017

Q88.The domain for which the functions defined by f(x) = 3x2 – 1 and g(x) = 3 + x are equal, is–

A4 1, 3 B4 1, 3 C4 1, 3 D4 1, 3

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EnglishKVS TGT 2017

Q89.The domain of the function f defined by f(x) 2 1 4 x x 1 = − + = − + = − + = − + − is equal to–

A(, 1) (1,4] B(, 1] (1,4] C(, 1) [1,4] D(, 1) [1,4)

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EnglishOPSC PGT 2017

Q90.A curve defined by mapping k:[a,b] R is called an arc, if:

A= γ Bγ is one-one Cγ is differentiable Dγ is one-one and onto

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EnglishOPSC PGT 2017

Q91.Which of the following shape does not make a convex region?

ARectangle BEllipse CTriangle DStar

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EnglishOPSC PGT 2017

Q92.A preorder ≤ on a set is a binary relation that satisfies the properties of:

AReflexivity BReflexivity and Transitivity CTransitivity DSymmetry and Reflexivity

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EnglishOPSC PGT 2017

Q93.Let p denotes the statement 'Rahul is rich' and q denotes the statement 'Rahul is happy'. Then the statement 'Rahul is poor or he is both rich and unhappy' is expressed as:

ApV(p q)/∼ ∼ BpV(p q)/∼ CpV(p q)/∼ DpV(p q)

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EnglishOPSC PGT 2017

Q94.A poset (L, ≤) becomes a lattice when every non-empty finite subset of L has:

AA supremum BAn infimum CA supremum as well as an infimum DNeither supremum nor infimum

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EnglishOPSC PGT 2017

Q95.For every pair of elements a and b, DeMorgan's laws in Boolean algebra are:

A(a b) a b &(a b) a b/* * B(a b) b a &(a b) b a/* * C(a b) a b &(a b) a b/* * * D(a b) a b & (a b) a b * *

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EnglishOPSC PGT 2017

Q96.In minimal form, the function f(x,y,z) = xyz + xy′ ′ ′z + x′ ′ ′yz + x′ ′ ′y′ ′ ′z is written as:

Af = z′ Bf = z Cf = x + z Df = y + z

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EnglishUPPSC GDC 2021

Q97.The set of points in the interval [2, 4] and in interval (1, 2) are

AFinite BCardinally equivalent CCardinally unequivalent DNone of the above

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EnglishUPPSC GIC 2021

Q98.Let a relation R be defined on the set of non- zero rational number Q* by aRb. If 1 a b =, then this relation R over Q* is

Areflexive, but not symmetric and transitive Bsymmetric, but not reflexive and transitive Ctransitive, but not reflexive and symmetric Dreflexive and transitive, but not symmetric

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EnglishUPPSC GIC 2021

Q99.Let R be a relation on a set A such that R = R-1, then R is-

AReflexive BSymmetric CTransitive DNone of these

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EnglishUP Higher Asst. Prof. 2021

Q100.Let a and b belong to set S, Let R be an equivalence relation on S. Then aRb if and only if

A[a]R ≠ [b]R B[a]R ⊆ [b]R C[a]R ⊂ [b]R D[a]R = [b]R

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