Math Chapter Wise

English(GIC) Lecturer exam, 2015

Q441.Let a set A contains n elements and f:A→ → →B be a bijective map, then B contains

Aless than n elements Bexactly n elements Cgreater than n elements D2n/elements

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English(GIC) Lecturer exam, 2015

Q442.If f:X→ → →Y and g:X→ → →Yare one-one and onto mappings, then the value of (gof)–1 is

Af–1/og Bfog–1 Cf–1/og–1 Dg–1/og–1

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English(GIC) Lecturer exam, 2015

Q443.If y = 4 sin2 θ–cos2θ, then y lies in the interval

A[–1, 5] B(–1, 0) C(5, ∞) D(–1, –5)

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English(GIC) Lecturer exam, 2015

Q444.If f(x) x 3 and g(x) f(f(x)) for x 10, then g (x)is

A0 B1 C3 D–1

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EnglishTGT 2013

Q445.Real- valued function 2 f(x) = 9- x, What is the range of.

A[0,3] B[–3,3] C[–3,0] D[0,9]

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EnglishTGT 2013

Q446.If two sets P and Q are such that P∪ ∪ ∪Q = P then what will be P∩ ∩ ∩Q

AP BQ Cφ DNone of these

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EnglishTGT 2013

Q447.If P and Q are two sets then ∪ ∪ ∩ (P -Q) (Q - P) (P Q) will be?

AP BQ CP Q/∩ DP Q/∪

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EnglishTGT 2013

Q448.If: R → → → R and g: R→ → →R are two mappings such that f(x) = 2x and g(x) = x2 + 2 then what will be the value of (f+g) (2)?

A8 B10 C12 D24

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EnglishTGT 2013

Q449.Subsets of a set having n elements number of -

An2 B2n Cn Dn+1

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EnglishTGT 2013

Q450.If P, Q, R are three sets, then which of the following who is right?

A() () () P Q R P Q P R ∪ ∩ = ∪ ∩ ∩ B() () () P Q R P Q P R ∩ ∪ = ∩ ∩ ∪ C() () () P Q R P Q P R ∪ ∩ = ∪ ∩ ∪ D() () () P Q R P Q P R ∩ ∪ = ∩ ∩ ∩ b

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EnglishTGT 2013

Q451.The subsets of the set {0} are-

Aφ B{ }, 0 φ C{ }/0 D{ } { }, 0, 0, φ

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EnglishTGT 2013

Q452.Out of three athletic teams in a school, 21 Players are in the cricket team, 26 players are in the hockey team and 29 players are in the football team. Out of them 14 members can play hockey and cricket, 15 member can play hockey and football and 12 players can play football and cricket and 8 players can play all the three games. How many players are there in all the three athletics?

A76 B49 C43 D41

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EnglishUP PCS (Pre) 1997

Q453.If R be the set of all real numbers and let f:R→ → →R be defined by f(x)=x2. Then f is:

AOne-one and onto BOne-one but not onto COnto but not one-one DNeither one-one nor onto

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EnglishTGT 2010

Q454.Let f: N→Y be a function defined as f (x) = 4x+3, where Y = {y: y = 4x+3 for some x∈N). The inverse of f (x) is

A3 4 () 3 y g y + = B3 () 4 4 y g y + = + C3 () 4 y g y + = D3 () 4 y g y − =

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EnglishTGT 2010

Q455.The period of sin2 θ is

Aπ2 Bπ C2π Dπ/2

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EnglishTGT 2010

Q456.If f: R→R and g:R→R are two mappings, where f(x) = 2x and g(x) = x2 +2 then the value of (fog)(2) will be

A4 B6 C12 D10

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EnglishTGT 2010

Q457.If A ∪ ∪ ∪ B = A ∪ ∪ ∪ C, A ∩ ∩ ∩ B = A ∩ ∩ ∩ C, then

AB = C BA = B CA = C DNone of these

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EnglishTGT 2010

Q458.The value of loge(0) is

A0 B1 C∞ D–∞

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EnglishTGT 2010

Q459.If A = {1,3,5,7} B={4,5,7,9} and C={1,3,4,9,11}, then (A∪ ∪ ∪B) ∩ ∩ ∩C=

A{1,3,4,7,9,11} B{3,4,9,11} C{7} DNone of these

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EnglishTGT 2010

Q460.If f: R→R, g: R→R and h: R→R such that f(x) =x2, g(x) = tan x, h (x) = loge x, then value of [ho(g o f)] (x) (where x = / 2 π) is

A0 B1 C2 DNone of these

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