Math Chapter Wise

EnglishKVS PGT 23-12-2018

Q201.The sum of all real values of x satisfying the equation (((()))) 2 x 4x 60 2 x 5x 5 1 + − − + = − + = − + = − + = is:

A–4 B6 C5 D3

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EnglishKVS PGT 23-12-2018

Q202.If a and b are natural numbers such that a2 –b2 is prime number, then a2 –b2 equals:

A1 Bab Ca–b Da+b

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EnglishUP PGT-2016 (02-02-2019)

Q203.Let α, β be the roots of the equation x2 +ax+a3 =0, a≠0. If (α,β) lies on the parabola y2 =x, then the roots of the equation are

A2, 3 B4, –2 C4, 2 D2, –3

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EnglishUP PGT-2016 (02-02-2019)

Q204.If the roots of the equation x2 +x+a=0, a>0 are real and distinct, then the roots of the equation 2 x 4 ax 1 0 − + = − + = − + = − + = are

Arational Birrational Cimaginary Dnone of the above

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EnglishUP PGT-2016 (02-02-2019)

Q205.If a, b, c are rational numbers and ax2 +bx+c=0 and 2x2 +x–2=0 have a common root, then 4a–2b+3c is equal to

A–1 B–2 C0 D4

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q206.Which of the following is a binomial in one variable of degree 5?

A() () 2 2 5 5 5 x 1 x 1 5x − − + + B()() 5 5 x 1 x 1 − + C() () () 2 2 5 5 10 5 x 1 x 1 2 x x + + − − − D() () 2 2 5 5 x 1 x 1 + + −

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q207.If x+5 is a factor of the polynomial x3 + ax2 + ax – 15. Then what will be the value of a?

A–9 B7 C9 D8

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q208.Which of the following is not a polynomial in one variable?

A5 5 2 2 x 2 x x + B1 1 1 3 2 2 2 2 x x x x − + − C3 3 2 2 x 2 x 2 − + D3 1 1 5 2 2 2 2 x x x x − −

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q209.At how many points does the polynomial x3 – x2 +x–1 intersect the x-axis?

A0 B1 C2 D3

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q210.What should be the value of k so that the linear equation 31x+124y = k in two variables x and y has an integer value

A134 B72 C103 D155

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q211.Which of the following equations in two variables is a linear equation?

A7x–3y + 2z = 0 B(y+x)2 – 2=0 C2x–3y+7 = 0 D(x–1)(y+2) = 0

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q212.If X is a random variable with mean m, then the variance of x, denoted by Var (X) is given by

AVar (X) = Σ[X-µ] BVar (X) = Σ [(X-µ)2 ] CVar (X) = Σ [X2 ] – µ DVar (X) = Σ [X] – µ2

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q213.A pair of linear equation in two variables x and y 1 1 1 2 2 2 b x c y a,c x a y b + = + = + = + = + = + = + = + = has infinite number of possible solutions if:

A1 1 1 1 2 2 b c a c a b = ≠ B1 1 1 2 2 2 a b c b c a = C1 1 2 2 a b b c ≠ D1 1 1 2 2 2 a b c a b c =

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q214.In which of the following equations, (7, –9) is not the solution?

A2x 3y 13 0 + + = B7y 8x 1 0 − + = C3 5 3 x y 0 2 4 4 + + = D6y 3x 75 0 − + =

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q215.Consider the quadratic equation ax2 +bx+c=0 where a,b,c ∈ℂ ℂ ℂ, which of the following statement is true for this question?

ARoots will be complex and exist inconjugate pair. BRoots will be complex and equal. CRoots will be complex and need not be in conjugate pair. DRoots will not exist.

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q216.Consider three equations, x2 +ax+bc = 0, x2 +bx+ca =0, x2 +cx+ab = 0. If each pair of these equations has a common root, then the sum and product of these common roots are,

Asum a b c 2 + + =, product = 2abc Bsum () a b c 2 − + + =, product 2 2 2 a b c = Csum () a b c 2 − + + =, product =abc Dsum a b c 2 + + =, product = a2 b2 c2

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q217.If a, b, c ∈ℝ ℝ ℝ+ and are in arithmetic progression, then the roots of the quadratic equation ax2 +bx+c=0 are imaginary for:

Ac 7 4 3 a − ≥ Bc 7 3 2 a − > Cc 7 4 3 a − < Dc 7 3 2 a − <

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q218.Two candidates attempted the problem, x2 +px+q=0 one started with a wrong value of p and got the roots –1 and –9, whereas the other started with on incorrect value of q and get the roots 2 and 8. Find the correct roots.

A1 and 9 B8 and9 C–1 and 2 D9 and –2

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q219.If a1, a2, b1, b2 are non-zero real numbers, then which of the inequalities is true?

A() () 2 2 2 2 2 1 2 1 1 2 2 1 2 a a a b a b b b + ≥ + + B()() () 2 2 2 2 2 1 2 1 2 1 1 2 2 a a b b a b a b + + < + C()() () 2 2 2 2 2 1 2 1 2 1 1 2 2 a a b b a b a b + + ≥ + D2 2 2 2 2 2 2 2 1 1 2 2 1 1 1 2 2 1 2 2 a b a b a b a b a b a b + ≤ + + +

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q220.Roots of the quadratic equation x2 – 2ix + 3 = 0 are:

A3i, –i B–3i, –i C3i, i D±3i

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