Math Chapter Wise

EnglishDSSSB PGT 2021

Q61.If one root of any equation is (2 – 3i) (where i = –1), then what is the equation?

Ax2 - 4x + 12 = 0 Bx2 - 4x + 13 = 0 Cx2 + 4x- 13 = 0 Dx2 + 4x +12 = 0

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EnglishDSSSB PGT 2021

Q62.If x = 2/3 1/3 3 + 3 + 3, then find the value of x3 – 9x2 +18x–12

A1/2 B1 C0 D–1

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EnglishDSSSB PGT 2021

Q63.Arrange the values in ascending order 263, 345, 527, 618

A263, 527, 618, 345 B527, 618, 263, 345 C345, 527, 263, 618 D618, 527, 263, 345

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EnglishDSSSB PGT 2021

Q64.If 3x +3y = 4, then the value of 3–x +3–y is -

A1/2 B4/3 C1 D3/4

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EnglishDSSSB PGT 2021

Q65.If x = 5 1 5 –1 +, then the value of x2 –x–1 is -

A1 – 2 B1/2 C0 D1

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EnglishDSSSB PGT 2021

Q66.If the mulitiplication of two roots is –3, then what is the value of 'b' from this equation 2x2 – 7x+b=0

A3 – 2 B3 2 + C–6 D+6

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EnglishDSSSB PGT 2021

Q67.If a, b are positive real numbers and a + b = 4, then the minimum value of 2 2 1 1 a + + b + a b is..........

A5/3 B25/3 C25/2 D15/5

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EnglishDSSSB PGT 2021

Q68.If p2 +q2 = 1 and m2 +n2 = 1 then-

Apq mn 1/+ > Bpq – mn 1/< Cpm qn 1/+ ≥ Dpm qn 1/+ ≤

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EnglishDSSSB PGT 2021

Q69.If a, b, c are positive real numbers and 2a+3b+6c = 3, then the minimum value of a2 +b2 +c2 is:

A7/49 B9/49 C8/49 D6/49

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EnglishDSSSB PGT 2021

Q70.For any two positive numbers a and x, least value of a ax + x is:

Aa B2a C2/2a Da2

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EnglishDSSSB PGT 2021

Q71.If a, b, c are positive real numbers and all are not equal, and a+b+c = 1 then the least value of 2 2 2 1 1 1 –1 –1 –1 a b c is:

A64 B16 C80 D32

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EnglishDSSSB PGT 2021

Q72.If LCM and HCF of two quadratic are (x3 +2x2 – x–2) and (x+2) respectively then the euations are -

Ax2 –3x+2 and x2 –x–2 Bx2 +3x+2 and x2 +x–2 Cx2 +3x+2 and x2 +x+2 Dx2 –3x+2 and x2 +x–2

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EnglishDSSSB PGT 2021

Q73.Two quadratic equations f(x) and g(x) are having G.C.D. and L.C.M. (x2 +x–2) and (x4 +3x3 –3x2 –7x+6) respectively. If f(x) = x3 +4x2 +x–6, then what is the value of g(x) -

Ax3/–3x – 2 Bx3 –3x2 –2 Cx3 –3x2 +2 Dx3/–3x+2

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EnglishDSSSB PGT 2021

Q74.If xn –px2 +r = 0 is having equal roots, then relation between n, p and r is -

Ann rn–2 = 4pn (n–2)n–2 Bnn rn–1 = 4p (n–2)n–1 Cnn rn = 4p (n–2)n Dnn–2 rn–1 = 4pn (n–2)n–2

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EnglishDSSSB PGT 2021

Q75.Let P(x) be a quadratic polynomial such that P(0) = 1. If P(x) leaves remainder 4 when divided by x – 1, and it leaves remainder 6 when divided by x+1, then

AP(–2) = 11 BP(–2) = 19 CP(2) = 11 DP(2) = 19

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EnglishDSSSB PGT 2021

Q76.The value of b, if x3 –5x2 +4bx+3 be divisible by (x–3), is -

A2/5 B7/3 C3/4 D5/4

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EnglishDSSSB PGT 2021

Q77.The equation (x–a)3 +(x–b)3 +(x–c)3 +(x–d)3 = 0, where a, b, c, d are positive and not all equal, has -

AOnly one real root BTwo real roots CNo real root DAll roots are equal

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EnglishDSSSB PGT 2021

Q78.The polynomial ax3 +bx+c is divisible by x2 +px+1 if:

Aac = b2 Bb2 –c2 = ab Ca2 +b2 = ac Da2 –c2 = ab

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EnglishDSSSB PGT 2021

Q79.The remainder when 4x4 –10x2 +1 is divided by (x+2) is:

A2 B32 C24 D25

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EnglishDSE TGT 2019

Q80.If 2 is the root of the equation x3 – 6x2 + 3x + 10 = 0, then the other roots are

A3, 6 B–1, 5 C–2, 5 D1/2, 3

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