Math Chapter Wise

EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q101.Let () ≤ L, be a lattice and a,b ≤ ∈ Landa b, then which of the following option is not true?

Aa b b ∨ = Ba b a ∧ = Ca b a ∨ = D() a b a a ∨ ∧ =

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q102.Let N be the set of natural numbers, then which of the following is monoid?

A() b N,*,where a *b a a,b N = ∀ ∈ B() N,*,where a *b HCF(a,b) a,b N = ∀ ∈ C() () N,*,where a *b LCM a,b a,b N = ∀ ∈ DNone of the above

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q103.If G is bipartite simple graph with ν -vertices and e-edges, then which of the following condition holds?

A2 e 4 ν < B2 e 4 ν ≤ C2 e 4 ν = D2 e 4 ν ≥

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q104.The number of distinct trees on 4 vertices is-

A12 B4 C16 D20

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q105.The number of solution of linear congruence ≡ 103 57 (mod211) is/are-

A3 B1 C4 D2

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q106.Which of the following is a planar graph?

AK10 BK5,3 Cany graph with four vertices and twelve edges Dany graph in which every vertex is either a pendant or a cut vertex

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q107.() () → ∧ → p q p r is logically equivalent to-

A() p q r ∨ ∧ B() p q r ∧ ∨ C() p q r → ∨ D() p q r → ∧

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q108.Which of the following option is true?

AK3,3 is non-planar BK4 is non-planar CK5 is planar DK3,3 is planar

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q109.If p and q are two statements, the p ⇔ q can be expressed in Boolean algebra as-

Axy+x'y' Bx'y+xy' Cx'y'+yy' Dxx'+xy

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q110.The radius and diameter of the following tree respectively are-

A2,3 B2,4 C3,5 D3,6

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EnglishUPPSC Polytechnic Lecturer 2021(II)

Q111.If 'p' is a prime number and 'G' is a non- abelian group of order p3, then the number of elements in the centre of 'G' is –

Ap – 1 Bp Cp + 1 Dp2

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EnglishUPPSC Polytechnic Lecturer 2021(II) Rajasthan TGT 2011

Q112.Which statement is true?

AEvery field is an integral domain. BEvery intergral domain is a field. CEvery ring is an integral domain. DNone of these

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EnglishUPPSC Polytechnic Lecturer 2021(II)

Q113.Subfields of field 'F' with 8 elements are -

A{0, 1, 2} and F B{0, 1} and F C{0, 1} and {0} DNone of these

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EnglishUPPSC Polytechnic Lecturer 2021(II)

Q114.The relation of Conjugacy in a group is -

Areflexive and symmetric but not transitive Breflexive and transitive but not symmetric Csymmetric and transitive but not reflexive Dreflexive, symmetric and transitive

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EnglishUPPSC Polytechnic Lecturer 2021(II)

Q115.The splitting field of the polynomial x2 +4 over the field 'Q' of rational numbers is -

A( )/Q i 3 B( )/Q 2 C( )/Q i D() Q 3 Where Q (i) is the smallest subfield of C containing Q and i = 1. −

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EnglishUPPSC Polytechnic Lecturer 2021(II) JDD-75-PGT TIER II-X-15 28.06.2015

Q116.Let 'H' be a subgroup of 'G' and 'N' be a normal subgroup of G, then H∩ ∩ ∩N is -

ASimple group BNormal subgroup CAbelian subgroup DNone of these

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EnglishUPPSC Polytechnic Lecturer 2021(II)

Q117.In the field () R,, ⊕ ⊙, where R is the set of real numbers and a ⊕ ⊕ ⊕ b = a + b – 1; a b ⊙ = a+b-ab ∀ ∀ ∀ a, b ∈ R, the multiplicative inverse of 5 is -

A1 B5/4 C−5/4 D4/5

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EnglishUPPSC Polytechnic Lecturer 2021(II)

Q118.Degree of () Q 3, 5 over Q is

A2 B6 C4 D5

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EnglishUPPSC Polytechnic Lecturer 2021(II)

Q119.Which group is not solvable?

Asymmetric group of degree 3 Bsymmetric group of degree 4 Cabelian group of order 4 Dsymmetric group of degree 5

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EnglishUPPSC Polytechnic Lecturer 2021(II) UP PGT 2016

Q120.Every subgroup of a cyclic group is -

Anormal Bnormal only when the order of subgroup is a prime number Cnot normal Dnot cyclic

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