Math Chapter Wise

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q241.A function f(x) is linear and has a value of 29 at x= –2 and 39 at x=3, Then value of f(x)atx = 5 is

A59 B45 C43 D35

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q242.Let function f: R R → → be defined by ((()) f x 2x sin x = + = + for all x R, ∈ Then f is–

Abijective Bone-one but not onto Conto but not one-one Dneither one-one nor onto

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q243.The domain of ((())) 2 f x 16 x = − = − is–

AR B[–4, 4] C[0, ∞) D[0, 4)

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q244.lf f: R R → → is defined by ((()) f x x, = then–

A() 1 1 f x x − = B() 1 f x x − = − C() 1 1 f x x − = Dthe function () 1 f x − does not exist

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q245.ln the set { { { } } A 1,2,3,4,5, = a relation R is defined by ((()) { R X,Y: X,Y A = ∈ = ∈ and } } X Y, < Then R is-

Areflexive Bsymmetric Ctransitive Dnone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q246.Let A = {p, q, r, s} B= {1, 2, 3}. Then which of the following relations from A to B is not a function?

A1 R {(p,1),(q,2),(r,1),(s,2)} = B2 R {(p,1),(q,1),(r,1),(s,1)} = C3 R {(p,1),(q,1),(p,2),(s,3)} = D4 R {(p,2),(q,3),(r,2),(s,2)} =

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EnglishTGT 2003

Q247.The domain of the function f(x)= 2 (2 2x x) − − − − is

A–1– 3 ≤ x≤ –1+ 3 B3/− ≤ x ≤ 3 C–2 ≤ x ≤ 2 D–2+ 3 ≤ x ≤ – 3

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EnglishTGT 2003

Q248.The domain of the function 1 f(x) x x = − is

A(–∞, 0) B(∞, 0] C(–∞, –1) D(–∞,∞)

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EnglishTGT 2001

Q249.Coefficients of odd power in the expansion of (1+x) 50 is the sum of?

A0 B249 C250 D251

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EnglishTGT 2001

Q250.If { { { } } 1,2,3,4,5,6 ∪ = ∪ = and { { { } } A 1,3,6, = { { } } 5,6 = B then ((()) A B ' ∩ ∩ will be:

A{1, 2, 3, 4, 5} B{2, 4} C{6} D{2, 4, 5}

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EnglishTGT 2001

Q251.If A = {1, 2, 3, 4}, B = {1, 3, 5, 8} and C = {3, 4, 5} then the value of { { { } } A B C ∪ ∩ ∪ ∩:

A{1, 2, 3, 4, 5} B{1, 3, 5} C{1, 2, 4, 5} D{1, 3, 4, 5}

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EnglishTGT 1999

Q252.If ω is the unit cube root, then what will be the roots of the equation obtained from the following determinant? 2 x 1 1 1 0 1 x + ω + ω + ω + ω + ω = ω + ω = ω + ω = ω + ω = ω + ω + ω + ω + ω

Ax = 1 Bx = ω Cx = 2 ω Dx = 0

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EnglishTGT 1999

Q253.What will be the number of reflexive relation in a set having 8 elements?

A264 B256 C248 D240

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EnglishTGT 1999

Q254.If f and g are two functions such that f(x) = 3x+1and f{g(x)} = x-2, then the value of g(x)is?

A−x 3/3 B(x 3)/+ C(3x 1) Dx 3 3 +

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EnglishPGT 2013

Q255.The statement is true for three sets A, B and C.

AA B A C B C ∪ = ∪ ⇒ = BA B A C B C ∩ = ∩ ⇒ = CA A B C = ⇒ = DA B A C ∪ = ∪ and A B A C B C ∩ = ∩ ⇒ =

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EnglishPGT 2013

Q256.If R is the set of real numbers and f:R→ → → R is function define by ((())) (((()))) x 1 3 3 3 = − f x, then (f of) (x) will be equal to?

Ax1/3 Bx3 Cx D(3–x3/)

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EnglishPGT 2013

Q257.If A,B,C are three sets then A× × ×(BUC) will be equal to?

A() () A B A C ∪ × ∩ B() () A B A C ∩ × ∩ C() () A B A C × ∪ × D() () A B A C × ∩ ×

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EnglishPGT 2013

Q258.If A and B are two events for which (()) 5 6 ∪ = P A B, ((())) ((()) 1 1, 3 2 ∩ = ∩ = ∩ = ∩ = P A B P B, then P(A) will be?

A1/3 B2/3 C−1/3 D1/6

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EnglishPGT 2013

Q259.The set { { { } } 2: 115 ← − < ← − < ← − < ← − < x z x x is called the following set can also be represented by?

A{ }: 11 10 x z x ← − < ≤ B{ }: 10 10 x z x ← − ≤ C{ }: 10 11 x z x ← − ≤ D{ }: 11 11 x z x ← − ≤

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EnglishPGT 2013

Q260.If Q0 is the set all non-zero rational numbers then and *the function is defined * 3 ab a b = where ab is a normal product, then the inverse of 5 7 in the group (Q0,*) is?

A45/7 B5/63 C63/5 D7/45

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