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Why Aptitude Quadratic Equations is Required?

In this Aptitude section you can learn and practice Aptitude Questions with Answers based on "Quadratic Equations" to improve your skills in order to face written test by IT companies, interview and various entrance tests like Bank Exams, Railway Exams,ICET, GATE, CAT, GRE, MAT, etc.

Where can I get Aptitude Quadratic Equations Questions and Answers with Explanation?

AllIndiaExams provides you lots of fully solved Aptitude Quadratic Equations questions and answers with explanation. Fully solved examples with detailed answer description. All students, freshers can download Aptitude quiz questions with answers as PDF files and eBooks.

Where can I get objective type, multiple choice Aptitude Quadratic Equations Interview Questions and Answers?

Here you can find both objective type and Multiple Choice Aptitude Quadratic Equations questions and answers for interview and entrance examination. True or false type questions are also provided here. Practice these bits well to get success in interviews or entrance tests

How to solve these Aptitude Quadratic Equations problems?

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Quadratic Equations - Aptitude Questions and Answers

This is aptitude questions and answers section on Quadratic Equations with explanation for various interview, competitive examinations and entrance tests. In this section, we have provided quadratic equations questions and answers with solutions. So, students or job aspirants can practice these questions for their exam preparation.

Quadratic Equations Questions - Quiz Details

Online Test Name Quadratic Equations
Exam Type Multiple Choice Questions
Category Aptitude Quiz
Number of Questions 30

Quadratic Equations Formula

1. The general quadratic equation is ax^{2}+bx+c=0.
1. Find the roots of the quadratic equation: x2 + 2x - 15 = 0?
  • A. -5, 3
  • B. 3, 5
  • C. -3, 5
  • D. -3, -5
  • E. 5, 2
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Answer & Explanation

Answer: Option A

Explanation:

x2 + 5x - 3x - 15 = 0
x(x + 5) - 3(x + 5) = 0
(x - 3)(x + 5) = 0
=> x = 3 or x = -5.

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2. Find the roots of the quadratic equation: 2x2 + 3x - 9 = 0?
  • A. 3, -3/2
  • B. 3/2, -3
  • C. -3/2, -3
  • D. 3/2, 3
  • E. 2/3, -3
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Answer & Explanation

Answer: Option B

Explanation:

2x2 + 6x - 3x - 9 = 0
2x(x + 3) - 3(x + 3) = 0
(x + 3)(2x - 3) = 0
=> x = -3 or x = 3/2.

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3. The roots of the equation 3x2 - 12x + 10 = 0 are?
  • A. rational and unequal
  • B. complex
  • C. real and equal
  • D. irrational and unequal
  • E. rational and equal
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Answer & Explanation

Answer: Option D

Explanation:

The discriminant of the quadratic equation is (-12)2 - 4(3)(10) i.e., 24. As this is positive but not a perfect square, the roots are irrational and unequal.

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4. If the roots of a quadratic equation are 20 and -7, then find the equation?
  • A. x2 + 13x - 140 = 0
  • B. x2 - 13x + 140 = 0
  • C. x2 - 13x - 140 = 0
  • D. x2 + 13x + 140 = 0
  • E. None of these
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Answer & Explanation

Answer: Option C

Explanation:

Any quadratic equation is of the form
x2 - (sum of the roots)x + (product of the roots) = 0 ---- (1)
where x is a real variable. As sum of the roots is 13 and product of the roots is -140, the quadratic equation with roots as 20 and -7 is: x2 - 13x - 140 = 0.

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5. The sum and the product of the roots of the quadratic equation x2 + 20x + 3 = 0 are?
  • A. 10, 3
  • B. -10, 3
  • C. 20, -3
  • D. -10, -3
  • E. None of these
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Answer & Explanation

Answer: Option E

Explanation:

Sum of the roots and the product of the roots are -20 and 3 respectively.

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