Math Chapter Wise

EnglishTGT 2009

Q461.There are 80 students in a class of a school, out of which 50 student study mathematics, 40 study statistics and 10 study both the subjects. one student is chosen at random from them. what is the probility that the student is of statistics subject?

A1/8 B1/5 C1/3 D1/10

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EnglishTGT 2009

Q462.If A = { { { } } x: x 5,x N, ≤ ∈ ≤ ∈ { { { } } B x:x 10 = ≤ = ≤ and { { } } C x:2 x 6,x N = < < ∈ = < < ∈ = < < ∈ = < < ∈ then the value of (()) A B C − ∩ − ∩ will be?

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

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EnglishTGT 2009

Q463.If A and B are to sets, then which of the following correct?

AA B/⊆ BA B A/∪ ⊆ ∩ B CA B A Ùee/∩ ⊆ φ DA B B/∩ ⊇

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EnglishTGT 2009 TGT 2010

Q464.If X = {2, 3}, Y = {3, 4, 5}, Z = {2, 5} then which of the following is false?

AX – Y ≠ φ BY – Z ≠ φ CZ – X ≠ φ D(X – Y) – Z ≠ φ

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EnglishTGT 2009

Q465.Let R be a real line. let S and T be subject of to R×R planes and defined as (()) { { } } (()) { { } } S x,y:y x 1and0 x 2 T x,y:x yisaninteger = + < < = + < < = + < < = + < < = − Then

ABoth S and T are not equivalenc relation in R. BBoth S and T are equivalence relation S in R. CS is equivalence in R but not in T. DT is equivalence in R but not S.

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EnglishTGT 2009

Q466.Let f: R → → → R where f(x) = 2 x+1, x ∈ R and g: R → → → R where g(x) = x2 – 2, x ∈ R are two function, then (gof) (x) will be –

A4x2/+ 4x – 1 B4x2/+ 4x + 1 C4x2/+ 4x D2x2/+ 1

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EnglishTGT 2005

Q467.If X and Y are two sets, then ((()) X Y X ' ∩ ∪ equal to?

AX BY Cφ DNone of these

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EnglishTGT 2005

Q468.Let ((()) 2 1 1 f x x; x 0 x x + = + ≠ + = + ≠ + = + ≠ + = + ≠ then the value of f (x) will be

Ax2 Bx2/-1 Cx2/-2 DNone of these

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EnglishTGT 2005

Q469.The number of subsets of a set having an element is?

An B2n/-1 C2n DNone of these

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EnglishTGT 2005

Q470.Let n(U)=700, n

A400 B600 C300 DNone of these

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EnglishTGT 2005

Q471.Two sets are A and B, then A-(A-B)=

AB BA-B CA∩B DNone of these

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EnglishTGT 2005

Q472.Let a relation R be defined on the set of natural numbers such that () { } a,b: a = 2b then R-1 what It

A() () () { } 2,1, 4,2, 6,3....... B() () { } 1,2,, 2,4.......... CR-1/not defined DNone of these

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EnglishTGT 2005

Q473.Let ((()) 1 f: R R,f x x → = → = then f will be:

Aone -one into Bmany- one onto Cone-one onto DNone of these

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EnglishTGT 2004

Q474.Let X be a non-empty set and P(X) be the power set of X, A binary composition * on P(X), is defined as ((())) ((()) A*B A B B A = − − = − − = − − = − − ∪ foar all A,B P(X) ∈.The inverse of A is

Aφ BA' CP(X) - A DA

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EnglishTGT 2004

Q475.If f: Z→ → → Z (set of integers) be defined by f(x)= x2 + x–2, then f{f(–2)} is

A–2 B–1 C1 D2

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EnglishTGT 2004

Q476.If f(x) = a.e2x + b.ex satisfied the condition f (0) = 1, f' (loge2) = 20, then a, b equal to

Aa = –2, b =3 Ba = 1, b =1 Ca = 3, b =–2 Da = –1, b = –2

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EnglishTGT 2003

Q477.Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are:

A7, 6 B6, 3 C5, 1 D8, 7

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EnglishDSSB TGT (SECTION-B) 28 DEC 2014

Q478.If n n 1 2 2 4 then the value of nn is equal to

A8 B9 C27 DNone of these

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EnglishTGT 2004

Q479.If 2 2x + 5 f(x) = x + x + 5, then f [f(-1)] is equal to

A149/155 B155/147 C155/149 D147/155

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EnglishTGT 2004

Q480.The domain of the function f(x) = 10 0.1 log log x is

A1, 10 ∞ B1 0, 10 C1, 10 −∞ D1, 10 − ∞

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