Algebra MCQs ( CSS FPSC SPSC )

Algebra MCQs for preparation. ( ASF OTS MCQs )

If the roots of the equation are -7/4 , 4/7 then the equation will be?

A. 28x^2+43x-28=0
B. 28x^2-43x-28=0
C. 28x^2+49x-16=0
D. 28x^2-33x-28=0

If S=the sum of the roots of the equation and P= Product of the roots of the equation, then their equation can be written as:

A. x^2+Sx+P=0
B. x^2+Sx-P=0
C. x^2-Sx-P=0
D. x^2-Sx+P=0

If the discriminant of ax2+bx+c=0 is not a perfect square then its roots are:

A. Equal
B. Rational
C. Irrational
D. Real

The sum of the roots of the equation 122-7x+4=0 is:

A. 12/7
B. -7/122
C. 1/3
D. 7/122

If the discriminant of the quadratic equation is +ve then the roots are:

A. Real & Equal
B. Rational & equal
C. Real & unequal
D. Complex

Sum of the roots of equation ax^2+bx+c=0 is:

A. -b/a
B. -c/a
C. b/a
D. c/a

The product of the roots of the equation 9x^2-5x-27=0 is:

A. -5/9
B. 5/27
C. -1/3
D. -3

If y^4+y^3-2y^2-8y+2 is divided by (y+1) then the remainder is ______.

A. -8
B. 0
C. 8
D. 11

Quadratic equation is an equation of degree.

A. 2
B. 3
C. 0
D. 1

3x^2+9x+7 is a _____.

A. Binomial
B. Trinomial
C. Monomial
D. None of these

Which is the root of the equation x4-9×3+6×2+2?

A. 1
B. -1
C. -2
D. None of these

The value of the polynomial 4x^4-3x^3+2x^2-x+5 at x=3 is:

A. 21
B. 263
C. 313
D. 150

If S1 is the solution set of equation f(x,y)=0 and S2 is the solution set of g(x,y)=0 then the solution set of the system f(x,y)=0 and g(x,y)=0 is:

A. S1-S2
B. S1∩S2
C. S1US2
D. S1+S2

The product of four fourth roots of 64 = ?

A. -1
B. 1
C. 4
D. 16

Sign of the cos(-885) is ?

A. +ve
B. -ve
C. Both (-ve) & (+ve)
D. 0

1° = ____ radians.

A. 0.1745
B. 0.01745
C. 0.0001745
D. 0.001745

The ratio between the area of the sector to the length of arc of a circle is ?

A. 2r/1
B. r/2
C. 2/r
D. 1/2r

cos30 cos60 – sin30 sin60 =?

A. 1
B. 0
C. 0.866
D. None of these

cot^–1(x) = ?

A. Cos-1x
B. -Tan-1x
C. 1/tan-1x
D. tan-1(1/x)

Range of Tan^–1(x) is ?

A. [-π/2,π/3]
B. [0,π]
C. (-π/2,π/2)
D. R

Range of cosec^–1(x) is ?

A. [0,π]
B. (0,π)
C. (-π/2,π/2)
D. None of these

cosec^–1(x) = ?

A. sin-1x
B. sin-1(1/x)
C. 1/sin-1x
D. sec-1x

sin–1 + cos–1 = ?

A. π/2
B. π/3
C. π
D. 0

Which of the following is the solution of cos3x=1/2?

A. arccos.1/6
B. 1/3.arccos.1/2
C. 5π/2
D. 60°

Select the following that can be the solution of sin2x=cosx ?

A. {2π/3,3π/4}
B. {π/4,3π/4}
C. {π/2,3π/2}
D. {π/3,π/4}

The algebraic expression of the word expressing “subtract eight times of the number is from ten times of the number c is:

A. 2bc
B. 8b – 10c
C. 8c – 10b
D. 10c -8b

At present, the age of Ali is 10 years, what will be his age after 12 years?

A. X-2
B. A – 2
C. X + 12
D. None of these

If Amna is x years old then 5 times Amna’s age three years ago is:

A. 3(x – 5)
B. 5(x – 3)
C. 3(x + 5)
D. None of these

8 machines can do a piece of work in 10 days. How long will it take 16 machines to do the work?

A. 7 days
B. 6 days
C. 5 days
D. 8 days

A rectangular room is 6m long, 5m wide and 4m high. What is the total volume of the room in cubic meters?

A. 24
B. 30
C. 120
D. 240

If Asif is standing in a queue in such a way that he is sixth in the queue from either side, then how many people are there in the queue?

A. 11
B. 12
C. 9
D. 14

If five cars are parked bumper to bumper, how many bumpers are touching each other?

A. 4
B. 5
C. 8
D. 10

What is the value of ‘X’, if 2x + 9x = 11?

A. 9
B. 1
C. 3
D. 0

A candidate, appearing for an examination, was asked to find 3/14 of a certain number but mistakenly, he found 3/4 of it. When he cross checked his answer, he found his answer was 150 more than the correct answer. Which number was given in the examination for this calculation?

A. 160
B. 180
C. 240
D. 280

In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer I. x^2 + 3x + 2 = 0 II. 2y^2 = 5y

A. x < y
B. x > y
C. x ≤  y
D. x = y

In the following question, there are two equations. Solve them and give answer I. 20P^2 + 31P + 12 = 0 II. 21Q^2 + 23Q + 6 = 0

A. P > Q
B. P < Q
C. P ≤ Q
D. P ≥ Q

In the following question, there are two equations. Solve them and give answer I. 20P^2 – 17P + 3 = 0 II. 20Q^2 – 9Q + 1 = 0

A. P < Q
B. P > Q
C. P = Q
D. P ≥ Q

In the following question, two equations are given. On their basis you have to determine the relation between x and y and then give answer I. 3x^2 – 7x + 2 = 0 II. 2y^2 – 11y + 15 = 0

A. x < y
B. x > y
C. x ≤  y
D. x ≥ y

In the following question, one or two equation(s) is/are given. On their basis you have to determine the relation between x and y and then give answer I. 3x^2 + 7x = 6 II. 6(2y^2 + 1) = 17y

A. x < y
B. x > y
C. x ≤  y
D. x ≥ y

In the following question, one or two equation(s) is/are given. On their basis, you have to determine the relation between p and q and then give answer I. 2p^2 = 23p – 63 II. 2q (q^-8) = q^-36

A. p = q
B. p > q
C. p < q
D. p ≥ q

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