Math Chapter Wise

EnglishRajasthan TGT 2011

Q341.If A and B are two sets, then A-(A-B) is equal to

AA B/∪ BA B/∩ CA DB

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EnglishRajasthan TGT 2011

Q342.The relation R={(1,1),(2,2)(3,3) defined on set A={1,2,3} is

AReflexive and sysmmetric but not transitive BReflexive and transitive but not sysmmetric CAn equivalence relation DOnly reflexive

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EnglishRajasthan TGT 2011

Q343.Let R be a relation on the set N of natural numbers defined by R={(x,y):x+2y=8}. Then domain of R is

A{2,4,8} B{2,4,6,8} C{2,4,6} D{1,2,3,4}

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EnglishRajasthan TGT 2011/ PGT 2010

Q344.The domain of the function 2 e 5x x f(x) log 4 − = is

A[1,4] B[8,5] C[8,5] D[1,5]

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EnglishRajasthan TGT 2011

Q345.Let R be the set of real number. Then a function f: R→ → →R defined by f(x)= x2 –x∀ ∀ ∀x∈R is

AOne-one BOnto COne-one and onto DNaither one-one nor onto

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EnglishRajasthan TGT 2011

Q346.A second degree polynomial passes through the points (0, 1), (1, 3), (2, 7) and (3, 13) then that polynomial is

A2 f(x) x x 1 = − + B2 f(x) x x 1 = − − C2 f(x) x x 1 = + + D2 f(x) x 2x 1 = + +

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EnglishJharkhand TGT 2017

Q347.The sum value of the series: 2 x sinp xsin(p q)! sin(p 2q)........ 2 + + + + + + + + + + + + + + + + + + + + is

Ae(xcos q)/[sin(p+x sinq)] B0 Ce(xcos q)/[cos(p+x sinq)] De(x cos q)

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EnglishJharkhand TGT 2017

Q348.If A and B are countable sets then A × × ×B is

ACountable BFinite CUncountable DInfinite

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EnglishJharkhand TGT 2017

Q349.If u=log v and v(x,y) is a homogenous function of degree n, then xux+yuy =

Axy Bn(x+y) Cn2 Dn

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EnglishKVS TGT DEC 2017

Q350.If –5x+20<–15, then

Ax (7,) Bx [7,) Cx (,7] Dx [ 7,7]

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EnglishKVS TGT DEC 2017

Q351.Each prime number has.

Ano factor Bonly one factor Conly two factors Dmore than two factors

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EnglishKVS TGT DEC 2017

Q352.In a class of 50 students, 20 play cricket, 15 play hockey and 5 students play both the games. The number of students who play neither of the two games is–

A0 B20 C30 D10

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EnglishKVS TGT DEC 2017 PGT 2005

Q353.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 DEC 2017

Q354.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 DEC 2017

Q355.If A and B are two sets and A denotes the complement of A, the A ∩ ∩ ∩ (A ∪ ∪ ∪ B)′ ′ ′ is equal to–

AA BB Cφ DA ∪ B

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EnglishKVS TGT DEC 2017

Q356.Let f(x) = 2 1 x then

Af(xy) = f(x).f(y) Bf(xy) = f(x)+f(y) Cf(xy) f(x).f(y) Df(xy) f(x).f(y)

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EnglishKVS TGT DEC 2017

Q357.If xn –1 is divisible by x–k, then the least positive intergral value of k is–

A4 B3 C1 D2

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EnglishKVS TGT DEC 2017

Q358.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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EnglishKVS TGT DEC 2017

Q359.For all n N, 2n 1 3n 1 3(5) 2 is divisible by–

A19 B17 C23 D25

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EnglishTGT 2013

Q360.What will be the area of the function 2 f(x) 1 1 1 x = − − −

A{ } x / x 1 < B{ } x / x 1 > − C[ ] 0,1 D[ ] 1,1

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