What is the sum of the roots of x² − 6x − 7 = 0?
- A-7
- B6
- C7
- D-6
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Answer: (B) 6
Sum of roots = −b/a = 6.
NDA & NA Quadratic Equations Questions with Answers & Explanations
20 Quadratic Equations questions from the Mathematics section of NDA & NA, 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.
What is the product of the roots of x² + 7x + 6 = 0?
- A-6
- B8
- C6
- D-7
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Answer: (C) 6
Product of roots = c/a = 6.
What is the sum of the roots of x² − 12x + 36 = 0?
- A13
- B36
- C-12
- D12
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Answer: (D) 12
Sum of roots = −b/a = 12.
What is the sum of the roots of x² − 5x − 14 = 0?
- A-14
- B5
- C-5
- D6
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Answer: (B) 5
Sum of roots = −b/a = 5.
What is the sum of the roots of x² + 7x + 10 = 0?
- A10
- B-6
- C-7
- D7
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Answer: (C) -7
Sum of roots = −b/a = -7.
What is the sum of the roots of x² − 4x − 5 = 0?
- A-4
- B-5
- C5
- D4
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Answer: (D) 4
Sum of roots = −b/a = 4.
What is the product of the roots of x² + 3x − 4 = 0?
- A-2
- B4
- C-4
- D-3
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Answer: (C) -4
Product of roots = c/a = -4.
What is the product of the roots of x² − 10x + 21 = 0?
- A10
- B21
- C-21
- D23
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Answer: (B) 21
Product of roots = c/a = 21.
What is the product of the roots of x² + 1x − 6 = 0?
- A6
- B-6
- C-1
- D-4
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Answer: (B) -6
Product of roots = c/a = -6.
What is the product of the roots of x² + 1x − 30 = 0?
- A-1
- B30
- C-30
- D-28
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Answer: (C) -30
Product of roots = c/a = -30.
What is the product of the roots of x² + 9x + 20 = 0?
- A22
- B20
- C-9
- D-20
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Answer: (B) 20
Product of roots = c/a = 20.
What is the sum of the roots of x² + 10x + 25 = 0?
- A-9
- B25
- C10
- D-10
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Answer: (D) -10
Sum of roots = −b/a = -10.
What is the sum of the roots of x² − 3x − 28 = 0?
- A-28
- B4
- C-3
- D3
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Answer: (D) 3
Sum of roots = −b/a = 3.
What is the product of the roots of x² + 8x + 15 = 0?
- A-15
- B17
- C15
- D-8
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Answer: (C) 15
Product of roots = c/a = 15.
What is the product of the roots of x² − 8x + 7 = 0?
- A7
- B9
- C8
- D-7
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Answer: (A) 7
Product of roots = c/a = 7.
What is the product of the roots of x² − 3x − 10 = 0?
- A-8
- B3
- C10
- D-10
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Answer: (D) -10
Product of roots = c/a = -10.
What is the sum of the roots of x² − 9x + 8 = 0?
- A-9
- B9
- C10
- D8
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Answer: (B) 9
Sum of roots = −b/a = 9.
What is the product of the roots of x² − 16x + 63 = 0?
- A65
- B16
- C63
- D-63
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Answer: (C) 63
Product of roots = c/a = 63.
What is the product of the roots of x² + 8x + 12 = 0?
- A-12
- B12
- C14
- D-8
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Answer: (B) 12
Product of roots = c/a = 12.
What is the product of the roots of x² − 12x + 32 = 0?
- A12
- B-32
- C34
- D32
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Answer: (D) 32
Product of roots = c/a = 32.
These are RankerClub practice questions written in the NDA & NA pattern. They are not official SSC/IBPS/RRB papers.
