Math Chapter Wise

EnglishUK SSSC LT 2020

Q7201.The value of ((()) 2 3 x E ∆ is:

A2x B3x C4x D6x

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EnglishUK SSSC LT 2020

Q7202.Which of the following option is correct for the relationship between E and ∇ ∇ ∇?

AE–1/≡ 1 – ∇ BE ≡ 1 + ∇ CE–1/≡ 1 + ∇ DNone of the above

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EnglishUKPSC GIC 2018

Q7203.If f(x) be a polynomial of degree n in x, then which is correct?

A∆n f(x) = 0 B∆n+1 f(x) = 0 C∆n–1 f(x) = 0 DNone of these

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EnglishUKPSC GIC 2018

Q7204.The missing value in the following table: x: 0 1 2 3 4 y: 1 3 9 - 81

A35 B31 C30 D27

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EnglishUKPSC GIC 2018

Q7205.The value of 2 x x 2 x ∆ Ee e. E ∆ e is

Aex Be–x Cex+h Dex–h

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EnglishUKPSC GIC 2018

Q7206.Which of the following interpolation formula can be used for equal and unequal intervals?

ANewton-Gregory formula BBessel's formula CSterling's formula DLagrange's formula

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EnglishUKPSC Lecturer (Mains) 2020 UKPSC GIC 2018

Q7207.The cubic polynomial which takes the following values: x: 0 1 2 3 f(x): 1 2 1 10

Ax3 – 7x2 + 7x + 1 Bx3 + 7x2 + 6x + 1 C2x3 – 7x2 + x + 1 D2x3 – 7x2 + 6x + 1

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EnglishUKPSC GIC 2018

Q7208.The value of the root nearest to 2 after first iteration of the equation x4 – x – 10 = 0 by Newton-Raphson method is

A2.321 B2.125 C1.983 D1.871

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

Q7209.The difference equation Pn+1 = a Pn+b. Then calculate P2 if P0 = 2, a=3, and b = –1

A1 B–7 C5 D14

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EnglishUKPSC Lecturer (Mains) 2020

Q7210.The Newton-Raphson formula for finding the value of N is:

An 1 n n 1 N 2 + = + x x x Bn 1 n n 1 N 2 + = − x x x Cn 1 n n 1 N 2 + = − x x x Dn 1 n n N + = + x x x

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EnglishUKPSC Lecturer (Mains) 2020

Q7211.The third divided difference of f(x) = 1 x at x = a, b, c, d is:

A1/abcd B1/bcd C1/acd D−1/abcd

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EnglishUKPSC Lecturer (Mains) 2020 UKSSSC LT 2020

Q7212.In Simpson's '1' 3 rule, the curve y = f(x) is assumed to be a

AStraight line BCircle CParabola DHyperbola

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EnglishUKPSC Lecturer (Mains) 2020

Q7213.Consider the following statements I & II: I. Gauss-Seidel method converges faster than Jacobi method. II. 1 () 2 µδ = ∆−∇ which of the following options is true?

AOnly I BOnly II CBoth I and II DNeither I nor II

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EnglishUKPSC Lecturer (Mains) 2020

Q7214.Which of the following methods is based on Bolzano theorem?

ABisection method BNewton-Raphson method CRegula-Falsi method DNone of these

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EnglishUKPSC Lecturer (Mains) 2020

Q7215.The roots of the equation f(x) = 0 obtained by Newton-Raphson method converges if

A2 f '()f ''() 1 [f()] < x x x B2 f '()f ''() 1 [f '()] < x x x C2 f()f '() 1 [f ''()] < x x x DNone of these

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EnglishUKPSC Lecturer (Mains) 2020

Q7216.Which of the following is not true?

Ax x e (E 1)e ∆ = − B()() 1 1 1 0 +∆ −∇ + = CE 1 = ∆+ D1 E 1 − ∇+ =

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EnglishBihar (TRE 2.0)-2023

Q7217.The optimal value of the objective function is attained at the points

Aon X -axis Bon Y-axis Con the corner points of the feasible region DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q7218.The point which does not lie in the half-plane 2x + 3y -12 < 0 is

A(2, 3) B(–2, 3) C(1, 2) DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q7219.Which of the following is true?

AEvery linear programming problem has a feasible solution BIf a linear programming problem has an optimal solution then it is unique CExtreme points of the disk x2 + y2 ≤ 1 are the points on the circles x2 + y2 = 1 DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q7220.The Linear Programming Problem Maximize z = x1 + x2 subject to x1 + 2x2 ≤ 20 x1 + x2 ≤ 15 x2 ≤ 6 x1, x2 ≥ 0

AHas exactly one optimum solution BHas more than one optimum solution CHas no solution DMore than one of the above ENone of the above

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