Math Chapter Wise

EnglishUP PGT-2016 (02-02-2019)

Q181.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)

Q182.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)

Q183.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

Q184.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

Q185.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

Q186.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

Q187.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

Q188.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

Q189.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

Q190.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

Q191.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

Q192.The value of x satisfying150x 35 (mod 31) is

A14 B22 C24 D12

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q193.If A a,b,c,B b,c,d and C a,d,c then (A B) (B C) is equal to –

A{(a,c), (a,d), (b,d)} B{(c,a), (d,a)} C{(a,b), (c,d)} D{(a,c), (a,d)}

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q194.If f: X X is defined by f(x) x, then–

A1 1 f (x) x B1/f (x) x C1 1 f (x) x DThe function 1/f (x) does not exist

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q195.For any two sets A and B, the value of the set c A (A B) is–

AAc BBc Cφ DB

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q196.If x 1 f(x) (x 1) x 1 is a real function, then f(f(f(2))) is equal to–

A1 B2 C3 D4

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q197.If a, b and c N which one of the following is not true?

Aa | b anda | c a | b c ⇒ + Ba | b c a | b and a | c + ⇒ Ca | b and b | c a | c ⇒ Da | b and a | b a | 3b 2c ⇒ +

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q198.The number of elements in the set 2 2 S (a,b) 2a 3b 35:a, b are integers} is–

A8 B4 C2 D12

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q199.Let R (x,y) x 2y 8 be a relation on N, then domain of R is–

A1,2,3 B1,2,3,4,5,6 C1,3,5 D2,4,6

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EnglishSECTION B PGT TIER-I 31.11.2014

Q200.The value of x satisfying 3x = 4 (mod5) is–

A3 B1 C2 D5

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