Quantitative Aptitude | Questions
Quadratic Equations questions with solutions
Quadratic Equations is a Quantitative Aptitude topic for competitive exams. It is tested in IBPS RRB Clerk, IBPS RRB PO, IBPS Clerk, SBI Clerk and other exams. This page has 138 solved quadratic equations questions written to the official pattern, with a worked solution under each.
- Question 1Easy
In each, solve for x and y and give the relation: I. x² + 1x − 30 = 0 II. y² − 3y + 2 = 0
- A.x > y
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relationCorrect
Show solution
The roots are x = -6, 5 and y = 1, 2. Comparing every x with every y gives "no fixed relation".
- Question 2Easy
In each, solve for x and y and give the relation: I. x² − 10x + 16 = 0 II. y² + 8y = 0
- A.x > yCorrect
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relation
Show solution
The roots are x = 2, 8 and y = 0, -8. Comparing every x with every y gives "x > y".
- Question 3Easy
In each, solve for x and y and give the relation: I. x² + 5x = 0 II. y² + 5y − 24 = 0
- A.x > y
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relationCorrect
Show solution
The roots are x = -5, 0 and y = -8, 3. Comparing every x with every y gives "no fixed relation".
- Question 4Easy
In each, solve for x and y and give the relation: I. x² + 3x − 18 = 0 II. y² + 7y + 10 = 0
- A.x > y
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relationCorrect
Show solution
The roots are x = 3, -6 and y = -2, -5. Comparing every x with every y gives "no fixed relation".
- Question 5Easy
In each, solve for x and y and give the relation: I. x² + 8x + 12 = 0 II. y² + 10y + 24 = 0
- A.x > y
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relationCorrect
Show solution
The roots are x = -2, -6 and y = -6, -4. Comparing every x with every y gives "no fixed relation".
- Question 6Easy
In each, solve for x and y and give the relation: I. x² − 3x − 18 = 0 II. y² + 9y + 8 = 0
- A.x > y
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relationCorrect
Show solution
The roots are x = -3, 6 and y = -8, -1. Comparing every x with every y gives "no fixed relation".
- Question 7Easy
In each, solve for x and y and give the relation: I. x² + 9x + 20 = 0 II. y² − 6y − 16 = 0
- A.x > y
- B.x < yCorrect
- C.x ≥ y
- D.x ≤ y
- E.no fixed relation
Show solution
The roots are x = -4, -5 and y = -2, 8. Comparing every x with every y gives "x < y".
- Question 8Easy
In each, solve for x and y and give the relation: I. x² − 2x − 35 = 0 II. y² − 25 = 0
- A.x > y
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relationCorrect
Show solution
The roots are x = 7, -5 and y = -5, 5. Comparing every x with every y gives "no fixed relation".
- Question 9Easy
In each, solve for x and y and give the relation: I. x² − 3x + 2 = 0 II. y² + 6y + 5 = 0
- A.x > yCorrect
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relation
Show solution
The roots are x = 2, 1 and y = -5, -1. Comparing every x with every y gives "x > y".
- Question 10Easy
In each, solve for x and y and give the relation: I. x² − 13x + 42 = 0 II. y² + 5y + 4 = 0
- A.x > yCorrect
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relation
Show solution
The roots are x = 7, 6 and y = -4, -1. Comparing every x with every y gives "x > y".
- Question 11Easy
In each, solve for x and y and give the relation: I. x² − 10x + 21 = 0 II. y² + 2y = 0
- A.x > yCorrect
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relation
Show solution
The roots are x = 3, 7 and y = -2, 0. Comparing every x with every y gives "x > y".
- Question 12Easy
In each, solve for x and y and give the relation: I. x² + 4x + 3 = 0 II. y² + 5y − 14 = 0
- A.x > y
- B.x < y
- C.x ≥ y
- D.x ≤ y
- E.no fixed relationCorrect
Show solution
The roots are x = -1, -3 and y = 2, -7. Comparing every x with every y gives "no fixed relation".
These are 12 of 138 quadratic equations questions in the bank. Attempt the rest with instant feedback in the practice drills, or under a clock in the mock tests.
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Frequently asked questions
How many Quadratic Equations questions are here?
This page shows 12 worked quadratic equations questions from a bank of 138, spanning 23 easy, 67 moderate and 48 hard. The full set is available to attempt in the timed-free practice drills and the mock tests.
Which exams ask Quadratic Equations questions?
Quadratic Equations is part of the Quantitative Aptitude syllabus for IBPS RRB Clerk, IBPS RRB PO, IBPS Clerk, SBI Clerk, RBI Assistant, NABARD Grade A, ECGC PO, NHB Assistant Manager. Weightage varies by exam and stage — check each exam's page for its pattern.
Are these Quadratic Equations questions free, and are the answers reliable?
Yes. Every question is free, written in-house to the exam pattern rather than copied from a real paper, and the numeric answer keys are recomputed independently at build time — a wrong key fails the build rather than reaching you.