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.**

**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^{-1}x

B. -Tan^{-1}x

C. 1/tan^{-1}x**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^{-1}x**B. sin ^{-1}(1/x)**C. 1/sin

^{-1}x

D. sec

^{-1}x

**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?**

**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