Mathematics MCQs ( NTS CSS SPSC )

Mathematics MCQS for preparation. ( NTS KPPSC SPSC )

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}

3 candidates participated in election and received 11628,1136 and 7636 votes. Calculate the percentage of the total votes that the winning candidate got ?

A. 70%
B. 59%
C. 57%
D. 62%

A number (85%) is added to 24, the answer is the same, Select that number from the list given below.

A. 190
B. 180
C. 170
D. 160

10 shoes are placed at somewhere in room. What is probability that a pair of shoes will always be together:

A. 8/10
B. 2/5
C. 1/5
D. 9/10

A number (60%) is added to 120, the answer is the same, Select the number from the options given below.

A. 400
B. 300
C. 250
D. 180

Umar can easily complete work in just 20 days. Suppose if Ali is 25% more intelligent and efficient than Umar, Then Ali will take how many days to complete that work?

A. 16
B. 12
C. 13
D. 19

Suppose Aslam got 10% profit while selling one goat and got 10% loss while selling other goat, the price of both goats were same then he _____?

A. got a loss of 1%
B. got no profit and loss
C. got a loss of 3%
D. got a profit of 1%

40% is subtracted from 60% of any number, and the answer is 50, Select that number from the list given below?

A. 200
B. 220
C. 250
D. 280

12 Bottles of water easily fill the tank and capacity of each bottle is about 13.5 litres. Then how many bottles will required for to fill the similar tank, when the capacity of each bottle is 9 liters?

A. 17
B. 18
C. 20
D. 15

Suppose 10 men can easily make 10 cooler in 10 days, then 5 workers will take how much time for to make 5 tables?

A. 4
B. 10
C. 21
D. 16

Suppose 6 workers can take 9 days for to complete the work, then how many men are needed to complete the work in 3 days?

A. 14 men
B. 18 men
C. 20 men
D. 11 men

Suppose 28 workers complete the work in just 15 days, then 21 workers can complete that work in how many days?

A. 23
B. 14
C. 20
D. 17

Suppose if 6 men have the ability to make 10 chairs in just 2 days, then how much time 8 men will take for to make 8 chairs?

A. 4
B. 6
C. 8
D. None of these

A,B and C earn Rs 1620 in just 9 days. A and C can easily earn RS 600 in just 5 days. B and C can earn RS 910 in just 5 days. Then how much amount C alone can earn in just a day?

A. 70
B. 90
C. 110
D. 122

X and Y can easily finish the work in 30 days if they work together, Suppose they worked together for 20 days and then Y left, X finished the all the remaining work in next 20 days, so tell X will take how much time finishing work alone?

A. 60
B. 55
C. 65
D. 75

Suppose 12 workers use to work 8 hours daily for to complete the project in 10 days, then how many men are required to complete the work in 5 days by working 12 hours a day?

A. 14
B. 13
C. 16
D. 20

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