Math Chapter Wise

EnglishSECTION B PGT TIER-I 31.11.2014

Q201.The domain of the function f: R→ → →R defined by 2 f(x) x 3x 2 is–

A(,) B(1,2) C(,1] [2,) DNone of these

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EnglishSECTION B PGT TIER-I 31.11.2014 TGT KVS 2017

Q202.Let f: R → → → R be the function defined by 1 f(x) 2 cos x for all x R, Then the range of f is–

A[ 1,1] B1,1 3 C(,) DR/{0}

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EnglishSECTION B PGT TIER-I 31.11.2014

Q203.Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of the second set. The values of m and n respectively are–

A7,6 B5,1 C6,3 D8,7

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EnglishSECTION B PGT TIER-I 31.11.2014

Q204.Let F1 be the set of parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane. Then F1 may be equal to–

A2 3/F F B3 4/F F C2 5/F F D2 3 4 1/F F F F

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EnglishSECTION B PGT TIER-I 31.11.2014

Q205.Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is–

Amn Bnm/–1 Cmn – 1 D2mn/– 1

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EnglishSECTION B PGT TIER-I 31.11.2014

Q206.If n x 1 is divisible by x k, − − then the least positive integral value of k is–

A1 B2 C3 D4

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EnglishSECTION B PGT TIER-I 31.11.2014

Q207.If f = {(–1, –5), (1, –1), (3, 3)} is a function described by f(x) = ax + b, then the values of a and b are–

A–3, –1 B2, –3 C0, 2 D2, 3

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EnglishSECTION B PGT TIER-I 31.11.2014

Q208.Let 2 A {x R x x 6} and B {x R x 3} Which of the following is true?

AA B BB A CA B DA B

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EnglishSECTION B PGT TIER-I 31.11.2014

Q209.The function f(x) = [x], where [.] denotes the greatest integer function, is continuous at–

A4 B–2 C1 D1.5

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EnglishSECTION B TGT TIER-I 31.11.2014

Q210.Number of subsets of a finite set with n elements are–

A2n Bn! Cn2 Dnn

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

Q211.Choose the correct set of function which are linearly dependent.

A2 2 {sin x,sin x,cos x} B{cos x,sin x,tan x} C2 2 {cos2x,sin x,cos x} D{cos2x,sin x,cosx}

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

Q212.Which of the following is a subspace of the vector space 3 IR?

A3 {(x,y,z) IR: x 1 0, y 0} B3 {(x, y,z) IR: x 0, y 0} C3 {(x, y,z) IR: 2x 3y 4z 3 0,z 0} D3 {(x, y,z) IR: x 2y 0,2x 3z 0}

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

Q213.If 14 = 172 (modx), then x can take the value–

A38 B54 C66 D79

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

Q214.The least positive integer to which 79×101×125 is congruent mod 11 is–

A5 B6 C4 D8

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

Q215.If 7x = 13(mod 11) then the value of x is–

A3 B–2 C5 DNone of these

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

Q216.The supremum of the set { { { } } 2 A P Q:P 2 = ∈ < = ∈ < = ∈ < = ∈ < in Q is

A2 B2 Cexists, but not 2 Ddoes not exist

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

Q217.lf x 3 10,then + ≥ + ≥ –

A() x 13,7 ∈ − B[ ] x 13,7 ∈ − C(][) x, 13 7, ∈ −∞ − ∞ DNone of these

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

Q218.Let 2 A X: X 5X 6 0 ℝ ℝ The infimum and supremum of A are–

A1 and 2 B2 and 3 C2 and 5 Dnone of these

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

Q219.lf x 2 A x R: 4, x 1 + = ∈ < = ∈ < = ∈ < = ∈ < − then–

A() () x,1 2, ∈ −∞ ∪ ∞ B() x, ∈ −∞ ∞ C() () x,2 2, ∈ −∞ ∪ ∞ Dnone of these

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

Q220.The limit points of the following subset of (()) n 1 R 1 1: n N is n + − ∈ + − ∈ + − ∈ + − ∈ –

A0 B1 Cinfinitely many points Dnone of these

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