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DSSSB PRT/TGT Quadratic Equations Questions with Answers & Explanations

20 Quadratic Equations questions from the Subject: Mathematics section of DSSSB PRT/TGT, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

What is the sum of the roots of x² − 13x + 42 = 0?

  1. A-13
  2. B14
  3. C13
  4. D42
Show answer
Answer: (C) 13 Sum of roots = −b/a = 13.
Question 2

What is the sum of the roots of x² − 7x + 6 = 0?

  1. A6
  2. B7
  3. C8
  4. D-7
Show answer
Answer: (B) 7 Sum of roots = −b/a = 7.
Question 3

What is the product of the roots of x² − 14x + 49 = 0?

  1. A51
  2. B-49
  3. C49
  4. D14
Show answer
Answer: (C) 49 Product of roots = c/a = 49.
Question 4

What is the sum of the roots of x² + 4x − 5 = 0?

  1. A-5
  2. B4
  3. C-3
  4. D-4
Show answer
Answer: (D) -4 Sum of roots = −b/a = -4.
Question 5

What is the product of the roots of x² − 7x + 10 = 0?

  1. A7
  2. B10
  3. C-10
  4. D12
Show answer
Answer: (B) 10 Product of roots = c/a = 10.
Question 6

What is the product of the roots of x² + 3x − 10 = 0?

  1. A-10
  2. B-3
  3. C10
  4. D-8
Show answer
Answer: (A) -10 Product of roots = c/a = -10.
Question 7

What is the product of the roots of x² − 4x − 5 = 0?

  1. A-5
  2. B5
  3. C4
  4. D-3
Show answer
Answer: (A) -5 Product of roots = c/a = -5.
Question 8

What is the product of the roots of x² + 8x + 15 = 0?

  1. A-8
  2. B15
  3. C-15
  4. D17
Show answer
Answer: (B) 15 Product of roots = c/a = 15.
Question 9

What is the product of the roots of x² − 6x − 27 = 0?

  1. A6
  2. B-27
  3. C-25
  4. D27
Show answer
Answer: (B) -27 Product of roots = c/a = -27.
Question 10

What is the product of the roots of x² − 10x + 24 = 0?

  1. A-24
  2. B26
  3. C24
  4. D10
Show answer
Answer: (C) 24 Product of roots = c/a = 24.

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Question 11

What is the sum of the roots of x² − 7x + 12 = 0?

  1. A-7
  2. B8
  3. C12
  4. D7
Show answer
Answer: (D) 7 Sum of roots = −b/a = 7.
Question 12

What is the sum of the roots of x² − 7x − 18 = 0?

  1. A-18
  2. B7
  3. C-7
  4. D8
Show answer
Answer: (B) 7 Sum of roots = −b/a = 7.
Question 13

What is the sum of the roots of x² + 2x − 8 = 0?

  1. A-2
  2. B-1
  3. C2
  4. D-8
Show answer
Answer: (A) -2 Sum of roots = −b/a = -2.
Question 14

What is the product of the roots of x² − 8x + 7 = 0?

  1. A-7
  2. B8
  3. C9
  4. D7
Show answer
Answer: (D) 7 Product of roots = c/a = 7.
Question 15

What is the product of the roots of x² + 11x + 30 = 0?

  1. A30
  2. B-11
  3. C32
  4. D-30
Show answer
Answer: (A) 30 Product of roots = c/a = 30.
Question 16

What is the product of the roots of x² − 6x − 16 = 0?

  1. A-14
  2. B-16
  3. C16
  4. D6
Show answer
Answer: (B) -16 Product of roots = c/a = -16.
Question 17

What is the sum of the roots of x² − 3x − 40 = 0?

  1. A4
  2. B-40
  3. C-3
  4. D3
Show answer
Answer: (D) 3 Sum of roots = −b/a = 3.
Question 18

What is the product of the roots of x² − 10x + 24 = 0?

  1. A26
  2. B-24
  3. C10
  4. D24
Show answer
Answer: (D) 24 Product of roots = c/a = 24.
Question 19

What is the sum of the roots of x² − 11x + 30 = 0?

  1. A-11
  2. B30
  3. C11
  4. D12
Show answer
Answer: (C) 11 Sum of roots = −b/a = 11.
Question 20

What is the sum of the roots of x² − 4x + 3 = 0?

  1. A3
  2. B5
  3. C-4
  4. D4
Show answer
Answer: (D) 4 Sum of roots = −b/a = 4.

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