Math Chapter Wise

EnglishOAVS TGT 2022

Q21.The solution of the equations √3x − √7y = 0 and √8x − √3y = 0 is:

Ax = 0, y = 0 Bx = 0, y = 1 Cx = 8, y = 3 Dx = 3, y = 7

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EnglishOAVS TGT 2022

Q22.The remainder when x⁴ + 15x³ + 6x² − 12x + 3 is divided by (x + 2) is:

A52 B−52 C53 D−53

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EnglishOAVS TGT 2022

Q23.The solution set of equation x⁴ − 5x² + 6 = 0 is:

A±2, ±3 B1, 2, ±3 C2, 3 D±√2, ±√3

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EnglishOAVS TGT 2022

Q24.If one root of the equation ax² + bx + c = 0 is 3 − 4i, then 31a + b + c = ________.

A2b B2c C0 D2a

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EnglishOAVS TGT 2022

Q25.If x is real, then the value of (x² + 34x − 71)/(x² + 2x − 7) cannot lie between:

A6 and 10 B4 and 8 C5 and 10 D5 and 9

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EnglishOAVS TGT 2022

Q26.Cauchy-Schwartz inequality is:

A(Σab)² ≥ Σa²Σb² B(Σab)² > Σa²Σb² C(Σab)² < Σa²Σb² D(Σab)² ≤ Σa²Σb²

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EnglishOAVS TGT 2022

Q27.If the zeroes of the expression (3x + 2a)(2x + 1) are −1/2 and b/3, then the value of 'a' is:

A−2b/3 B−b/2 C2b/3 D−b/3

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EnglishOAVS TGT 2022

Q28.The solution set of 2x − 1 > x + (7 − x)/3 > 2, x ∈ R is:

A(−∞, 5/2) B(5/2, ∞) C(0, 5/2) D(0, 5/2]

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EnglishOAVS TGT 2022

Q29.If b ≠ 0 and a/b > 0, then which of the following inequalities must be true?

Aa < 0 Ba > b Cb > 0 Dab > 0

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EnglishOAVS TGT 2022

Q30.The general form of the linear equation in two variables x, y is:

Aax + by + c = 0, a ≠ 0, b ≠ 0 Bax + by + c = 0, a ≠ 0 Cax + by + c = 0, |a| + |b| = 0 Dax + by + c = 0, |a| + |b| ≠ 0

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EnglishOAVS TGT 2022

Q31.The value of m so that the equation 3x2 – 2mx – 4 = 0 and x(x –4m) + 2 = 0 may have a common root is:

A1 – 2 B1/ 2/± C1/2 D3/ 2/±

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EnglishOAVS TGT 2022

Q32.If x, y, z ∈ R and x < y, then:

Axz > yz,z = 0 Bxz > yz,z < 0 Cxz > yz, z is positive or negative or zero Dxz > yz,z > 0

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EnglishOAVS TGT 2022

Q33.If α, β are the roots of x2 – k(x + 1) – c = 0, then (1 + α) (1 + β) = ________.

A1 – c B1 C1 + c Dc

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EnglishOAVS TGT 2022

Q34.If (x4 + ax3 – 7x2 – 8x + b) is completely divisible by x2 + 5x + 6, then the values of a and b are:

A2, 12 B2, 14 C2, 8 D–2, 6

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EnglishOAVS TGT 2022

Q35.The sum of the series 3.8 + 6.11 + 9.14 + ….to n terms is:

A3n(n + 1) (n + 3) B(3n2/+ 3n) (n + 3) C(n + 3) (n – 1) D(n – 1)2

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EnglishOAVS TGT 2022

Q36.If x2 + bx + a = 0, ax2 + x + b = 0 have a common root and the first equation has equal roots, then 2a2 + b = ________.

A0 B2 C1 D–1

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EnglishOAVS TGT 2022

Q37.If 10 2 4 x y x y + = + − and 15 5 – = –2 x + y x – y then:

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

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EnglishOAVS TGT 2022

Q38.If 2 3 2 x y + = and 4 9 1 x y − = − then:

Ax = 2, y = 9 Bx = 2, y = 3 Cx = 4, y = 3 Dx = 4, y = 9

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EnglishRPSC PGT 2022

Q39.Number of integral solutions of the inequality x + 2 1 > 2 2 x + 1 is-

A5 B3 C∞ D4

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EnglishRPSC PGT 2022

Q40.A geometric progression has first term 3 and the sum of all its 2n terms is three times the sum of its odd place terms, the common ratio is

A2 B3 C4 D2

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