Math Chapter Wise

EnglishOAVS TGT 2021

Q101.A boat goes 28 km upstream and 39 km downstream in 7 hours. In 9 hours, it can go 35 km upstream and 52 km downstream. Determine the speed of the boat in still water.

A10 km/h B7 km/h C3 km/h D13 km/h

Show answer

EnglishOAVS TGT 2019

Q102.If sum of squares of zeros of the quadratic polynomial f(x) = x2 – 8x + k is 40, then the value of k is:

A12 B8 C14 D10

Show answer

EnglishOAVS TGT 2019

Q103.If y = 8 +10 cos2x then which of the following is satisfied:

A–2 ≤ y ≤ 18 B–1 ≤ y ≤ 4 C0 < y < 1 D–1 ≤ y ≤ 1

Show answer

EnglishOAVS TGT 2019

Q104.If α and β are the zeros of the quadratic polynomial f(x) = x2 – px + q, then the value of α2 + β2 is:

Ap2/– 2q Bq2/– 2p Cp2/+ 2q Dq2/+ 2p

Show answer

EnglishOAVS TGT 2019

Q105.The value of k for which the equation has equal roots (k–12)x2 + 2(k–12)x + 2 = 0 is:

Ak = –14 Bk = –12 Ck = 13 Dk = 14

Show answer

EnglishOAVS TGT 2019

Q106.The number of real roots of 2sinx = 2x + 2–x is:

A0 B3 C2 D1

Show answer

EnglishOAVS TGT 2019

Q107.The equation x +1 – x –1 = 4x –1 has:

Aone solution Btwo solutions Cmore than two solutions Dno solution

Show answer

EnglishOAVS TGT 2019

Q108.The values of a and b so that x4 + x3 + 8x2 + ax + b is divisible by x2 + 1 is equal to:

Aa = 1; b = 7 Ba = –1; b = 7 Ca = –1; b = –7 Da = 1; b = –7

Show answer

EnglishOAVS TGT 2019

Q109.If α, β be the roots of the equation ax2 – bx + b = 0 then the value of α β + β α is equal to:

Aa/b Bb/a C1 D0

Show answer

EnglishOAVS TGT 2019

Q110.If the angle A of a triangle ABC is given by the equation 3 cosA + 2 = 0, then find the quadratic equation whose roots are sin A and tanA?

A2/6x 5 5x 5 0 B2/6x 5 5x 5 0 C2/6x 5x 5 0 D2 6x 5 x 5 0 + − =

Show answer

EnglishDSE TGT 2019

Q111.If α,β,γ are the roots of the equation x3 + px2 + qx + r = 0 and α,β,γ are non-zero, then (1/α + 1/β + 1/γ) =

Apqr B–q/r Cp2/– 2q D–p/r

Show answer

EnglishOAVS TGT 2018

Q112.The degree of polynomials is:

Athe highest power of x Bthe lowest power of x Cthe smallest coefficient of x Dthe largest coefficient of x

Show answer

EnglishOAVS TGT 2018

Q113.A root of an equation that does not satisfy the equation is called:

AReflective root BExtraneous root CSquare root DComplex root

Show answer

EnglishOAVS TGT 2018

Q114.If 2 b 4ac is > 0 and a perfect square, then the roots of ax2 + bx + c = 0 are:

AImaginary BEqual CRational DIrrational

Show answer

EnglishOAVS TGT 2018

Q115.If b2 – 4ac < 0, then the roots of ax2 + bx + c = 0 are:

AEqual BRational CIrrational DImaginary

Show answer

EnglishOAVS TGT 2018

Q116.The solution set of the equation x2 – 2x + 3 = 0 is:

A(1 i 2) Bi/(v) 1 C1 Di 2

Show answer

EnglishOAVS TGT 2018

Q117.If x4 – 3x + 5 is divided by 2x – 1, then the remainder is:

A57/16 B3 C10 D–9

Show answer

EnglishOAVS TGT 2018

Q118.If x2 – 1 is a factor of ax4 + bx3 + cx2 + dx + e, then:

Aa + c + c = d + e Ba + c + e = b + d Ca + c + e = c + d Db + c + d = a + e

Show answer

EnglishOAVS TGT 2018

Q119.If a polynomial p(x) is divided by a linear division (x – b), then the remainder is:

Ap (1) BImage/formula option B (see source) CP (0) Dp

Show answer

EnglishOAVS TGT 2018

Q120.The solution of 4x – 3 > 6 is:

Ax > 2 B9 x 4 C4 x 9 Dx 1

Show answer