Quadratic Equation Questions and Answers

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Quadratic Equation Questions and Answers

Quadratic equations are one of the fundamental concepts in algebra, and they are an essential tool for solving a wide range of mathematical problems. These equations are used to model a variety of real-world situations, such as the motion of objects under the influence of gravity or the behaviour of financial markets. In this blog, we will explore some of the most common quadratic equation questions and provide answers to help you better understand this important topic.

Quadratic Equation Questions

In this article, Quadratic Equation Questions and Answers, we are providing the latest and most important Quadratic Equation Questions under the Aptitude section for those aspirants who are preparing for upcoming competitive exams.

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Quadratic Equation Questions and Answers

  Q :  

What are the roots of the quadratic equations?

  $$(x^2 + 3x - 154 = 0)$$

(A) 11, 14

(B) 11, -14

(C) 14, -11

(D) 14, -22


Correct Answer : B

Q :  

If α and β are the roots of equation $$ {x^2-2x+4=0}$$, then what is the equation whose roots are ${α^3}\over{β^2}$$ and $${β^3}\over{α^2}$$.

(A) $$ {x^2-4x+8=0}$$

(B) $$ {x^2-32x+4=0}$$

(C) $$ {x^2-2x+4=0}$$

(D) $$ {x^2-16x+4=0}$$


Correct Answer : C

Q :  

If  $$  \left( x^2+{1\over x^2} \right)- \left( x - {1\over 4} \right)- 7 =0 $$ then two value of x are :

(A) 1, 2

(B) $$ 2, -{1\over 2} $$

(C) 0, 1

(D) $$ {1\over 2} , 1 $$


Correct Answer : B

Q :  

Find out the value of a when $$x^3+ax^2+ 2x+3 $$ is divisible by (x+1)?

(A) 2

(B) 0

(C) 3

(D) -1


Correct Answer : B

Q :  

In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains – 9 and – 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was 

(A) x2 + 10x + 9 = 0

(B) x2 – 10x = 16 = 0

(C) x2 – 10x + 9 = 0

(D) None of these


Correct Answer : C

Q :  

If the difference between the roots of the equation Ax2+BX+C = 0 is 4, then which of the following is TRUE?

(A) $$B^2 - 16A^2 = 4AC + 4B^2 $$

(B) $$B^2 - 10A^2 = 4AC + 6A^2$$

(C) $$B^2 - 8A^2 = 4AC + 10A^2 $$

(D) $$B^2 - 16A^2 = 4A^C + 8B^2$$


Correct Answer : B

Q :  

If one root of the equation Ax2+Bx+C = 0 is two and a half times the others, then which of the following is TRUE? 

(A) $$7B^2= 3 CA $$

(B) $$7B^2 = 4 CA$$

(C) $$7B^2 = 36 CA $$

(D) $$10B^2 = 49 CA $$


Correct Answer : D

Q :  

If α and β are the roots of equation x2 - 2x + 4 - 0, then what is the equation whose roots are α32 and β32?

(A) $$x^2 - 4x + 8 = 0 $$

(B) $$x^2 - 32x + 4 = 0 $$

(C) $$x^2 - 2x + 4 = 0 $$

(D) $$x^2 - 16x + 4 = 0 $$


Correct Answer : C

Q :  

What are the roots of the equation log10(x2-6x+45) =2?

(A) 9, - 5

(B) -9, 5

(C) 11, -5

(D) -11, 5


Correct Answer : C

Q :  

α and β  is two root of a equations $$2x^2-7x+ 12=0 $$ then the value of $$ {α \over β }  + {β \over α }=? $$

(A) 24

(B) $$ {1 \over 24 }$$

(C) 12

(D) $$ {1 \over 12 }$$


Correct Answer : B

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    Rajesh Bhatia

    A Writer, Teacher and GK Expert. I am an M.A. & M.Ed. in English Literature and Political Science. I am highly keen and passionate about reading Indian History. Also, I like to mentor students about how to prepare for a competitive examination. Share your concerns with me by comment box. Also, you can ask anything at linkedin.com/in/rajesh-bhatia-7395a015b/.

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