Math Chapter Wise

EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q161.The largest eigen value of the matrix– 2 3 6 0 5 5 is 0 0 4 −

A5 B6 C4 D11

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q162.Let a 1 4 A 0 b 7 0 0 3 − = be a matrix with real entries, If the sum and the produce of all the eigen values of A are 10 and 30 respectively, then a2 +b2 equals–

A29 B40 C58 D65

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q163.The value of cos cot tan sec θ is equal to–

A0 B2/tan θ C1 D2

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q164.If the matrix A is such that 2 A 4 7 = − [1 9 5] then the determinant of A is equal to–

A0 B1 C5 Dnone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q165.Consider the following system of equations 2x1 + x2 + x3 = 0 x2 – x3 = 0 x1 + x2 = 0 This system has–

Aunique solution Bno solution Cinfinite number of solutions Dnone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q166.For a given matrix 4 3i i i 4 3i − − + where i 1 = − = −. The inverse of the matrix is–

A4 3i i 1 i 4 3i 24 − − + Bi 4 3i 1 4 3i i 25 − + − C4 3i i 1 i 4 3i 24 + − − D4 3i i 1 i 4 3i 25 + − −

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q167.Given 2x–y+2z = 2, x – 2y + z = –4, x + y + λ z = 4, then the value of λ such that the given system of equations has no solution is–

A3 B–3 C0 D1

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q168.If 2 A 2 α = α and 3 A 125 = then the value of α is–

A1/± B2/± C3/± D5/±

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q169.If 1 0 1 P 2 1 1 2 3 2 − = − then the top row of 1 P− − is–

A−[ ]/2 0 1 B1 2 1 2 − C[ ]/5 6 4 D5 3 1

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q170.If 1 4 A b a the eigen values of this matrix are –1 and 7, what are the values of a and b?

Aa = 6, b = 4 Ba = 4, b = 6 Ca = 3, b = 5 Da = 5, b = 3

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015 UP PGT 2011

Q171.If 1 0 A B 1 1 + = and 1 1 A 2B 0 1 − − = − then A is equal to–

A1/3 1/3/2/3 1/3 B1 1/2 1 C2/3 1/3/2/3 1/3 DNone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q172.The value of the determinant 43 44 45 44 45 46 45 46 46 is equal to–

A0 B–1 C1 D2

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q173.If order of matrix A = 4×3, order of matrix B = 4×5 and order of matrix C = 7×3, then the order of (At ×B) t ×Ct is–

A4 × 5 B3 × 7 C4 × 3 D5 × 7

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q174.If 2 1,ω,ω are cube roots of unity, then– 2 2n 2n n n 2n 1 has value–

A0 Bω Cω2 Dω + ω2

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q175.Suppose square matrix A is nilpotent then I+A is-

Ainvertible Bnot invertible Cnon degenerate Dnone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q176.The square matrix A is orthogonal, then determinant of A is–

A1/± B0 C2/± DNone of these

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EnglishTGT 2001 PGT 2011

Q177.The value of the given determinant is. x 1 x 2 x 4 x 3 x 5 x 8 x 7 x 10 x 14 + + + + + + + + +

A–2 Bx2/+2 C2 DNone of these

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EnglishTGT 2001

Q178.The value of determinant 219 117 345 19 9 34 7 3 5 is–

A2179 B2178 C2188 D2176

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EnglishTGT 2001

Q179.The Solution of equations 3x 2y 3z 8 2x y z 1 4x 3y 2z 4 − + = − + = − + = − + = + − = + − = + − = + − = − + = − + = − + = − + = is–

Ax = –1, y = 2, z = 3 Bx = 1, y = 2, z = –3 Cx = 1, y = 2, z = 3 Dx = –1, y= –2, z =3

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EnglishTGT 2001

Q180.The rank of matrix 8 1 3 6 0 3 2 2 8 1 3 4 − − − − − − − − − − − − will be–

A2 B4 C3 D1

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