Math Chapter Wise

EnglishTGT 2004

Q7161.In a college of 500 students, every student reads 3 newspapers and every newspaper is read by 60 students. The number of newspapers is

Aatleast 30 Balmost 20 Cexactly 25 Dcannot be determined

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EnglishTGT 2003

Q7162.If a=log35, b=log1725, which one of the following is correct?

Aa < b Ba = b Ca > b DNone of these

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EnglishTGT 2003

Q7163.If log a 3 = 2, logb 8 = 3, than loga b is

Alog23 Blog32 Clog34 Dlog4 3

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EnglishTGT 2003

Q7164.If A = log2 log2 log4 256 + 2 (2) log 2 then A equals to

A2 B3 C5 D7

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q7165.Decimal expansion of an irrational number is–

ANon-terminating, recurring BTerminating CNon-terminating, non-recurring DNone of these

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q7166.If x 3 2, then value of 2 x is–

A3 2 B5 2 6 C3 2 D5 2 6

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q7167.The value of the expression 0.05 0.8 0.004 is equal to –

A10 B0.1 C100 D0.4

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EnglishBihar (TRE 1.0) -2023

Q7168.Let φ:[0, 1] → → → ℝ be three times continuously differentiable. Suppose that the iterates defined by xn+1 = φ(xn), n ≥ 0 converge to the fixed point ξ ξ of φ. If the order of convergence is three, then.

Aφ"(ξ ξ ξ) = 0, φ" = 0 Bφ"(ξ ξ ξ) ≠ 0, φ" = 0 Cφ"(ξ ξ ξ) ≠ 0, φ" ≠ 0 DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q7169.While solving the equation x2 – 3x + 1 = 0 using the Newton-Raphson method with the initial guess of a root as 1, the value of the root after one iteration is

A1.5 B0 C1 DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q7170.Consider the system of equations 1 2 3 5 2 1 x 13 -2 5 2 x = -22 -1 2 8 x 14 With the initial guess of the solution [ ] T 1 2 3 (0) (0) (0) x,x,x = 1,1,1 The approximate value of the solution T 1 2 3 (1) (1) (1) x,x,x After one iteration by the gauss-Seidel method is

A[2, –4.4, 1.625]T B[2, –4, –3]T C[2, –4, 3]T DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q7171.For what values of α and β, the quadrature formula ∫ 1 -1 f(x)dx = αf(-1) + f(β) is exact for all polynomials of degree ≤ 1?

Aα = 1, β = 1 Bα = –1, β = 1 Cα = 1, β = –1 DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q7172.The value of the integral () ∫ 1 2 -1 I = exp x dx Using a rectangular rule is approximated as 2. Then, the approximation error |I – 2| lies in the interval.

A(2e, 3e] B2,2e 3 Ce 0, 8 DMore than one of the above ENone of the above

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EnglishBihar (TRE 1.0) -2023

Q7173.Let y be the solution of the initial value problem () () 2 d y + y = 6cos2x,y(0) = 3,y' 0 = 3,y' 0 = 1 dx Let the Laplace transform of y be F(s). Then, the value of F(1) is

A17/5 B13/5 C11/5 DMore than one of the above ENone of the above

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EnglishRPSC PGT 2022

Q7174.The third divided difference of 1 x based on the points x0, x1, x2, x3, is-

A0 1 2 1 x x x − B0 1 2 3 1 x x x x − C0 1 2 1 x x x D0 1 2 1 x x x −

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EnglishRPSC PGT 2022

Q7175.If interval of differencing is unity, then 10 2 3 4 ∆ (1- ax)(1- bx)(1- cx)(1- dx)is -

A1 – abcd B10 abcd C10.abcd D(abcd) / 10

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EnglishRPSC PGT 2022

Q7176.Given – X: 0 π 6 π 3 π 2 f(x) = esinx: 1 1.64872 2.3632 2.71828 Then by Simpson’s 3 8 rule, value of ∫ π sinx 6 0 e dx is – (using π= 3.14159)

A3.09329 B3.0999 C3.9529 D3.09000

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EnglishRPSC PGT 2022

Q7177.The interpolation formula f(x) = f(1) + x–1 C1 ∆ f(0) + x C2 ∆ 2 f(0) + x C3 ∆ 3 f(–1) + (x+1) C4 ∆ 4 f(– 2) +……………..is known as -

AGauss Forward formula BGauss Backward formula CGauss Third formula DNone of these

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EnglishRPSC PGT 2022

Q7178.In solving by iteration method, the equation x2 – x – 1 = 0, to be convergent in the neighborhood of its root x = – 0.62; can be written in which of the following form?

Ax = 1– 1 x Bx = 2x–x2 +1 Cx = x 1 + Dx = x2 –1

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EnglishOPSC PGT 2017

Q7179.For Simpson rule to solve a definite integral, each section of the curve is replaced by:

AA secant chord BA tangent to curve CA second degree curve DA spline arc

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EnglishOPSC PGT 2017

Q7180.Gauss elimination method solved:

AA system of linear equations BA cubic equation CAn algebraic equation of degree 4 DAn integral equation

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