Math Chapter Wise

EnglishJharkhand TGT 2017

Q301.A set X has 3 elements. The number of elements in power set of power set of X is

A8 B24 C256 D64

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EnglishJharkhand TGT 2017

Q302.The polynomial equation whose roots are the reciprocal of the roots of the equation x4 +3x3 – 6x2 +2x–4=0 is

A4x4 –6x2 +2x3 –2x+1=0 Bx4 –x3 +8x2 –6x+7=0 Cx4 +8x3 +x–5=0 D4x4 –2x3 +6x2 –3x–1=0

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EnglishJharkhand TGT 2017

Q303.If 2, is the root of x3 –6x2 +3x+10=0 then the other roots are

A–1, 5 B–2, 5 C1/2, 3 D3, 6

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EnglishJharkhand TGT 2017

Q304.If α, β, γ are roots of x3 +px2 +qx+r=0 and α, β, γ are non-zero then 1 1 1 + + = + + = + + = + + = α β γ α β γ α β γ α β γ

Ap2/–2q B–q/r Cpqr D0

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EnglishJharkhand TGT 2017

Q305.If f:R→ → →R, g:R→ → →R is defined by f(x)=4x–1 and g(x)=x2 +2 then fof(x)=

A16x2/–8x+3 Ba2/+2 C16x–5 D27

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EnglishJharkhand TGT 2017

Q306.If p, q and r are the roots of the equation 3 2 x 9x 26x 24 0 − + − = − + − = − + − = − + − = then the value of sum of squares of p, q and r is

A17 B23 C29 D37

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EnglishKVS TGT DEC 2017

Q307.If a and b are odd integers. then the roots of the equation– 2 2ax (2a b)x b 0,a 0

Arational Birrational Cnon–real Dequal

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EnglishKVS TGT DEC 2017

Q308.If, be the roots of ax2 + bx + c = 0 then roots of ax2 +2bx+4c = 0 are–

A, 2 2 B2, 2 C, D2,2

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EnglishKVS TGT DEC 2017

Q309.The largest interval for which 12 9 4 x x x x 1 0 is–

A4 x 0 B0 x 1 C100 x 100 Dx

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EnglishKVS TGT DEC 2017

Q310.The domain for which the functions defind by f(x) = 3x2 – 1 and g(x) = 3 + x are equal, is–

A4 1, 3 B4 1, 3 C4 1, 3 D4 1, 3

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EnglishKVS TGT DEC 2017

Q311.If f(x) = px + q, where p and q are integers, f(– 1) = – 5 and f(3) = 3, then p and q are equal to–

Ap = –3, q = –1 Bp = 2, q = –3 Cp = 0, q = 2 Dp = 2, q = 3

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EnglishKVS TGT DEC 2017

Q312.x and a are real numbers. If a > 0 and x a then–

Ax (a,) Bx [,a) Cx (a,a) Dx (, a) (a,)

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EnglishKVS TGT DEC 2017

Q313.If x 1 5, then–

Ax (4,6) Bx [ 4,6] Cx (, 4.) (6,) Dx [, 4.) [6,)

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EnglishKVS TGT DEC 2017

Q314.Given that x, y and a are real numbers and x y, a 0 then

Ax y/a a Bx y/a a Cx y/a a Dx y/a a

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EnglishUP PCS (Pre) 2000

Q315.If,, α β γ α β γ α β γ α β γ are the roots of equation x3 + x + 1 = 0, then the value of 3 3 3 1 1 1 + + α β γ α β γ α β γ α β γ is equal to:

A–6 B–4 C–1 D0

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EnglishUP PCS (Pre) 2000

Q316.If 1 2 3,, α be the roots of the equation 4 x 1 0 − = − =, then ((()))((()))((()) 1 2 3 1 1 1 − α − α − α − α − α − α − α − α − α − α − α − α is equal to:

A1 B2 C3 D4

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EnglishUP PCS (Pre) 2000

Q317.The minimum number of imaginary roots of the equation x7 – 3x4 + 2x3 – 1 = 0 is:

A2 B3 C4 D5

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EnglishUP PCS (Pre) 2001, 2000

Q318.If the equation x5 –10x2 +x+c=0 has 3 equal roots, then c is equal to:

A2 B4 C6 D8

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EnglishUP PCS (Pre) 2001

Q319.If α, β, γ are the roots of the equation x3 –x+1=0, the value of α3 +β3 +γ3 is:

A–3 B3 C1 D–1

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EnglishUP PCS (Pre) 2002

Q320.If the equation x2 +px+qr = 0 and x2 +qx+pr = 0 have a common root, then the sum and product of their other roots are respectively:

Ar, pq B–r, pq Cpq, r D–pq, r

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