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Quadratic Equations MCQs

Free 28+ Quadratic Equations MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Practise below with answers and explanations.

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28 questions in this list. Select an option to practice, or open a question for the full page with explanation.

Quadratic Equations — MCQs for Pakistan government job tests

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Quadratic Equations

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1.What are the solutions to the quadratic equation 3x² - 7x - 6 = 0?

2.What are the solutions to the quadratic equation x² + x - 42 = 0?

3.What are the solutions of the quadratic equation 2x² + 5x + 2 = 0?

4.Given the quadratic equations I. a² - 13a + 42 = 0 and II. b² - 15b + 56 = 0, determine the correct relationship between the values of a and b obtained by solving these equations.

5.Given the equations: (i) a³ − 988 = 343 and (ii) b² − 72 = 49, determine the correct relationship between the values of a and b.

6.Given the quadratic equations I. 9a² + 18a + 5 = 0 and II. 2b² + 13b + 20 = 0, determine the correct relationship between the values of a and b after solving both equations.

7.Given the quadratic equations I. x² + 11x + 30 = 0 and II. y² + 15y + 56 = 0, what is the correct relationship between the values of x and y after solving both equations?

8.Given the quadratic equations I. x² + 3x - 18 = 0 and II. y² + y - 30 = 0, what can be concluded about the relationship between x and y after solving both?

9.Given the equations I. x² + 9x + 20 = 0 and II. y² + 5y + 6 = 0, determine the relationship between the values of x and y after solving both equations.

10.Given the equations I. x² - x - 42 = 0 and II. y² - 17y + 72 = 0, determine the relationship between the values of x and y obtained by solving both equations.

11.Given the equations I. x² + 5x + 6 = 0 and II. y² + 9y + 14 = 0, what can be concluded about the relationship between the values of x and y?

12.Given the equations I. a² + 8a + 16 = 0 and II. b² - 4b + 3 = 0, determine the correct relationship between the values of a and b.

13.Given the equations (i) a² + 11a + 30 = 0 and (ii) b² + 6b + 5 = 0, determine the relationship between the values of a and b.

14.Given the equations (i) a² - 9a + 20 = 0 and (ii) 2b² - 5b - 12 = 0, determine the correct relationship between the values of a and b.

15.Given the quadratic equations (i) a² - 7a + 12 = 0 and (ii) b² - 3b + 2 = 0, what can be concluded about the relationship between the values of a and b?

16.A man can purchase a certain number of notebooks for Rs. 300. If the price of each notebook increases by Rs. 5, he would be able to buy 10 fewer notebooks for the same total amount. What is the original price of each notebook?

17.Determine the quadratic equation whose solutions are the reciprocals of the roots of the equation 2x² + 5x + 3 = 0.

18.If a and b are the roots of the quadratic equation x² + 8x + 4 = 0, what is the value of a/b plus b/a?

19.Given that a and b are the solutions of the quadratic equation x² - 9x + 20 = 0, what is the value of a² + b² + ab?

20.The sum of the squares of three consecutive even natural numbers equals 1460. What are these numbers?

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