Math Chapter Wise

EnglishOAVS TGT 2017

Q141.Identify the roots of the equation x2 –4x+6 = 0.

A2/± B–2 i 2/± C2 i 2/± D2 2/±

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EnglishKVS TGT 2017

Q142.If – 5x + 20 < – 15, then

Ax (7,) Bx [7,) Cx (,7] Dx [ 7,7]

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EnglishKVS TGT 2017

Q143.If one root of the equation 2 ix 2(i 1)x (2 i) 0 is 2 i, then the other root is–

A–i B2 + i Ci D2 – i

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EnglishKVS TGT 2017

Q144.If a and b are odd integers then the roots of the equation– 2 2ax (2a b)x b 0,a 0

Arational Birrational Cnon–real Dequal

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EnglishKVS TGT 2017

Q145.If, be the roots of ax2 + bx + c = 0 then those of ax2 + 2bx + 4c = 0 are–

A, 2 2 B2, 2 C, D2,2

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EnglishKVS TGT 2017

Q146.The largest interval for which 12 9 4 x x x x 1 0 is–

A4 x 0 B0 x 1 C100 x 100 Dx

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EnglishKVS TGT 2017

Q147.If f(x) = px + q, where p and q are integers, f(– 1) = – 5 and f(3) = 3, then p and q are equal to -

Ap = –3, q = –1 Bp = 2, q = –3 Cp = 0, q = 2 Dp = 2, q = 3

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EnglishKVS TGT 2017

Q148.If xn –1 is divisible by x–k, then the least positive integral value of k is–

A4 B3 C1 D2

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EnglishKVS TGT 2017

Q149.x and a are real numbers. If a > 0 and x a then–

Ax (a,) Bx [,a) Cx (a,a) Dx (, a) (a,)

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EnglishKVS TGT 2017

Q150.If x 1 5, then–

Ax (4,6) Bx [ 4,6] Cx (, 4.) (6,) Dx [, 4.) [6,)

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EnglishKVS TGT 2017

Q151.Given that x, y and a are real numbers and x y, a 0 then

Ax y/a a Bx y/a a Cx y/a a Dx y/a a

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EnglishUP TGT 2021

Q152.The value of () () () ()()() 3 3 3 x – y + y – z + z – x 9 x – y y – z z – x is

A0 B1/9 C1/3 D1

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EnglishUP TGT 2021

Q153.If 2 2 1 x + = 11 x, then value of 3 3 1 x – x may be equal to

A22 B25 C33 D36

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EnglishUP Higher Asst. Prof. 2021

Q154.If 2n – 15 = x2 then

An = 2 or n = 4 Bn = 4 or n = 6 Cn = 2 or n = 8 Dn = 4 or n = 8

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EnglishUP PGT 2021

Q155.If f(x) = ax2 + 2bx + 1, a and b are positive real numbers and b2 < a, then which of the following is correct?

Af(x) = 0 ∀ x ∈ R Bf(x) > 0 ∀ x ∈ R Cf(x) < 0 ∀ x ∈ R Dnone of the above

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EnglishUP PGT 2021

Q156.If the difference of the roots of the equation x2 + px + 12 = 0 is one then the values of p are–

A± 7 B± 2 C± 3 D± 1

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EnglishUP PGT 2021

Q157.If the two roots of the equation x3 – 5x2 – 16x + 80 = 0 are 4 and –4 then the third root of this equation is

A1 B2 C6 D5

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EnglishUP PGT 2021

Q158.If α and β are roots of x2 + x + 1 = 0, then the equation whose roots are α7 and β4 is –

Ax2 – x – 1 = 0 Bx2 – x + 1 = 0 Cx2 + x – 1 = 0 Dx2 + x + 1 = 0

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EnglishUPPSC GIC 2021

Q159.The harmonic mean of the roots of the equation ax2 + bx + c = 0 is-

A−2c/b B2c/b Cc/b D−c/b

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EnglishUPPSC GIC 2021 UPPSC Ashram Paddhati 2021

Q160.Find the condition that the roots of the cubic equation x3 – px2 + qx – r = 0 be in a geometric progression-

Ap + q – r = 0 Bq3 r – p3 = 0 Cp3 r – q3 = 0 Dp – q + r = 0

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