Quadratic Equations

J&K Bank Banking Associate · Quantitative Aptitude · 60 practice questions with answers and explanations: 37 Easy, 23 Medium, 0 Hard.

Sample questions

Sample Easy question 1

What can be said about the roots of x² + 5x = 0?

  1. two distinct real roots
  2. equal real roots
  3. no real roots
  4. two imaginary roots only if b is zero
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Answer: A. Discriminant = b² − 4ac = 5² − 4(0) = 25, so the equation has two distinct real roots.

Sample Easy question 2

What is the larger root of the equation x² − 4 = 0?

  1. −3
  2. 3
  3. 2
  4. −2
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Answer: C. Factorising gives (x − 2)(x + 2) = 0, so x = 2 or −2; the larger root is 2.

Sample Easy question 3

What is the sum of the roots of x² − 4x = 0?

  1. 4
  2. −4
  3. 0
  4. 5
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Answer: A. For x² + bx + c = 0 the sum of the roots is −b = 4.

Sample Medium question 4

What is the sum of the roots of x² − 9x + 20 = 0?

  1. −9
  2. 20
  3. 10
  4. 9
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Answer: D. For x² + bx + c = 0 the sum of the roots is −b = 9.

Sample Medium question 5

Solve both equations and give the relationship between x and y. I. x² + 9x + 20 = 0 II. y² + 3y − 40 = 0

  1. x > y
  2. x ≥ y
  3. x = y or the relationship cannot be established
  4. x < y
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Answer: C. Roots of I: x = −4 and −5. Roots of II: y = −8 and 5. Comparing the roots, the relationship is: x = y or the relationship cannot be established.

Sample Medium question 6

What is the larger root of the equation x² + 6x + 5 = 0?

  1. 0
  2. −5
  3. −1
  4. 1
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Answer: C. Factorising gives (x + 1)(x + 5) = 0, so x = −1 or −5; the larger root is −1.

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