Math Chapter Wise

EnglishUPPSC GIC 2021

Q161.The roots of the equation log4 (x2 –6x + 24) = 2 are-

A2, 3 B4, 6 C1, 5 D2, 4

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EnglishUPPSC GIC 2021

Q162.The sum of the roots of the equation x2 – 4 |x - 2| – 4x + 8 = 0 is

A8 B9 C6 D4

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EnglishUP TGT 2021

Q163.If α, β, γ are the roots of the equation x3 + px2 + qx + r = 0, then α2 β2 + α2 γ2 + β2 γ2 is equal to

Aq2/– 2pr Bq2/+ 2pr Cq2/+ p2 Dq2/– p2

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EnglishUP TGT 2021

Q164.If one zero of the third degree polynomial x3 + ax2 + bx + c is –1, then the product of other two zeroes is

Ab – a + 1 Bb – a – 1 Ca – b + 1 Da + b + 1

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EnglishUP TGT 2021

Q165.If x1 and x2 are roots of x2 – 2x + 4 = 0, then the value of 3 3 1 2 x + x is equal to

A16 B8 C–16 D4

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EnglishUP TGT 2005, 2021 UPPCS (Pre) 2004

Q166.The number of real solutions of the equation 2 x – 3 x + 2 = 0 is

A4 B1 C3 D2

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EnglishUPPSC Ashram Paddhati 2021

Q167.The roots of the equation log9(x2 – 16x + 141) = 2 are

A4, 5 B5, 6 C6, 10 D4, 6

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EnglishUPPSC Ashram Paddhati 2021

Q168.The harmonic mean of the roots of the equation ax2 – bx + c = 0 is

A2c – b B2c/b Cc/b Dc – b

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EnglishUKPSC Lecturer (Mains) 2020

Q169.One of the solutions of the system of inequalities: 2x+ y > 3 and x – 2y ≤– 1 is:

A(2,0) B(2,1) C(0,5) D(1,1)

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EnglishUKPSC Lecturer (Mains) 2020

Q170.If ≠ | x + 3 | +x > 1,x –2 x + 2, then x lies in

A(–5, –2) ∪ (–1, ∞) B(–3, –2) ∪ (–1, ∞) C(–5, –2) D(–3, –2) ∪ (1, ∞)

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EnglishUKPSC Lecturer (Mains) 2020

Q171.The solution set of the inequality 2x + 4 5 x – 1 ≥ is

A(3, ∞) B(1, 3] C(– ∞,3) D[1,∞)

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EnglishUKPSC Lecturer (Mains) 2020

Q172.Suppose that |3x| + |2y|≤1. Then the maximum value of 9x+ 4y is:

A1 B2 C3 D4

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EnglishHaryana PGT 2020

Q173.If x = 3 –, 5 then x = 2 + 3x - 2

A5 B5 C1/5 D1/5

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EnglishDSSSB TGT 04-09-2021 Shift-I (Male)

Q174.What will be the value of x3 + y3 + z3, if x + y + z = 0?

A2xyz B3xyz Cxyz (xz + yz + zx) Dxyz

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EnglishHaryana TGT 2019

Q175.3 x 100, 2.56 x = then 'x' is equal to:

A4 B16 C64 D256

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EnglishUKPSC GIC 2018 JDD-75-PGT TIER-II X-15, 28.06.2015 DSSSB TGT (Section B) 28-12-2014 Section B PGT TIER-I 31.11.2014

Q176.If x + 3 10 ≥ then x is

Ax ∈ [–13, 7] Bx∈ (–∞, –13]∪[ 7, ∞) Cx∈ (–∞, –13)∪(7, ∞) Dx∈ (–13, 7)

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EnglishUKPSC Lecturer (Mains) 2020

Q177.The solution set of inequality 3(2) 5(2) 5 3 − − ≥ x x is:

A(–∞,∞) B(2, ∞) C[2, ∞) DNon-existent

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EnglishUKPSC Lecturer (Mains) 2020

Q178.The solution set of inequality- 2x + 21–x – 3 < 0 in R is:

A(0,1) B(–1,0) C(–1,1) D[–1,1]

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EnglishUKPSC Lecturer (Mains) 2020

Q179.Solution set of inequality 2 |x+ 1|> x+ 4

A(2, ∞) B(–∞,–2) C(–∞,–2) ∪ (0, ∞) D(–∞,–2) ∪ (2, ∞)

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EnglishUKPSC Lecturer (Mains) 2020

Q180.The solution set of the inequality () 2 5 2 3 13 + ≥ x x x is:

A{2} B[2, ∞) C[0,2] D(– ∞,2]

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