Math Chapter Wise

EnglishKVS PGT 23-12-2018

Q181.If x is real, then the values of 2 x x 5x 9 − + are:

A1 1, 11 − − B1,1 11 − C1,1 11 D1,0 11 −

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EnglishKVS PGT 23-12-2018

Q182.A class has 175 Students. The number of students studying one or more of the subjects in this class is as below: Mathematics 100, Physics 70, Chemistry 46, Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23, Mathematics, Physics and Chemistry 18. The number of students enrolled in Mathematics alone is:

A13 B35 C60 D32

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EnglishKVS PGT 23-12-2018

Q183.If A and B are two sets containing 2 elements and 4 elements respectively, then number of subsets of A× × ×B having 3 or more elements is:

A211 B219 C220 D256

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EnglishUP PGT-2016 (02-02-2019)

Q184.tan–1 x > cot–1 x is true for

Ax=1 Bx>1 Cx<1 DAll values of x

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EnglishUP PGT-2016 (02-02-2019)

Q185.Domain of the function x x f(x) 2 5 = − = − is

Ax < 0 Bx ≤ 0 Cx > 0 Dx ≥ 0

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EnglishUP PGT-2016 (02-02-2019)

Q186.If x 1 f(x) x 2 − = + and ((()) 1 y f x − =, then dy dx is equal to

A−2/1 x B3 1 x + C()2 3 1 x − D()2 3 1 x +

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EnglishUP PGT-2016 (02-02-2019)

Q187.Number of all onto functions from the set {1,2,3,4,5} to itself is

A25 B25/–1 C5 D4

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EnglishUP PGT-2016 (02-02-2019)

Q188.If { { { } } n A 4 3n 1,n N = − − ∈ = − − ∈ = − − ∈ = − − ∈ and (()) { { } } B 9 n 1,n N = − ∈ = − ∈ = − ∈ = − ∈ then which of the following is true?

AA ⊆ B BB ⊆ A CA ∪B = A DNone of the above

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EnglishUP PGT-2016 (02-02-2019)

Q189.In the additive group of integers the order of every element except zero is

Afinite Binfinite Csome times finite and some times infinite Dnone of the above

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q190.If f(x) is a periodic function and α is a positive real number such that f(x+2α)+f(x)=0 for all x ∈ R, then the period of f(x) is.

Aα B2α C4α D2/α

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q191.If W is a nonempty subset of real vector space 3 using the same operations, then W is a subspace of 3 if and only if.

AW is not closed under vector addition but closed under scalar multiplication in 3 BW is neither closed under vector addition nor closed under scalar multiplication in 3 CW is not closed scalar multiplication but closed under vector addition 3 DW is closed under vector addition and scalar multiplication in 3

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EnglishLT 2018

Q192.The composite mapping fog of the maps f: R R,f(x) sinx → = → =, 2 g: R R,g(x) x → = → = is

A2 sin x x + B() 2 sin x C() 2 sin x D2 sin x x

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EnglishLT 2018

Q193.Let R be a relation on a set A and Let IA denote the identity relation on A. Then R is antisymmetric, if and only if

AR=R–1 BR∪R–1/⊆IA CR∩R–1/⊆IA DNone of the above

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EnglishLT 2018

Q194.If the function f: R→ → →R is defined by f(x) =x2 +x then the function f is

Aone-one but not onto Bonto but not one-one Cboth one-one and onto Dneither one-one nor onto

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EnglishLT 2018

Q195.The domain of the function ((()) (()) 2 log x 3 f x x 3x 2 + = + + is:

AR – {–1,–2} B(–2, ∞) CR–{–1,–2,–3} D(–3,∞)–{–1,–2}

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EnglishLT 2018/ TGT 2011

Q196.Given that the set Z of integers forms a group under the binary operation *, defined by a*b= a+b+1; a, b∈Z The inverse of –2 in the group is

A2 B4 C–2 D0

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014 DSSSB PGT (SECTION-B) 28 DEC 2014

Q197.Let x and y be real numbers and 1 X (x,y) y,x 0,Y (x,y) y x x be two sets then–

AX Y X BX Y Y CX Y DX Y X

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q198.If g (1,1),(2,3),(3,5),(4,7) is a function described by g(x) ax b, then what values should be assigned to a and b?

A1, 1 B1, –2 C2, –1 D–2, –1

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EnglishDSSSB PGT (SECTION-B) 28 DEC 2014

Q199.If a and b are positive integers such that 2 2 a b is a prime number, then 2 2 a b is equal to–

Aa – b Ba + b Cab D1

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q200.The value of x satisfying150x 35 (mod 31) is

A14 B22 C24 D12

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