Quadratic Equation And Inequalities — JEE Main Previous Year Questions

168 solved PYQs · 2016–2026 · Mathematics

Solved PYQs: 168
Years covered: 2016–2026
Avg / year: ~15
Subject: Mathematics

How many JEE Main questions come from Quadratic Equation And Inequalities?

Quadratic Equation And Inequalities has contributed 168 questions to Joint Entrance Examination (Main) papers between 2016 and 2026 — an average of about 15 questions a year. That count is measured from EByAi’s bank of 55,289 JEE Main questions, not estimated from a syllabus. Every one of the 168 questions carries a written, step-by-step solution, and each is tagged to Quadratic Equation And Inequalities within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Quadratic Equation And Inequalities questions from real JEE Main papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 168 Quadratic Equation And Inequalities questions (with full written solutions) are available in practice.

Question 1 · JEE Main 2026
A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the construction work in 24 days less than Mason B alone. Then Mason A alone will complete the construction work in :
1. (A) $36 days$
2. (B) $24 days$
3. (C) $30 days$
4. (D) $42 days$
Show answerAnswer
$Answer: (A) 36 days$
Question 2 · JEE Main 2021
The number of real solutions of the equation, x^2 - |x| - 12 = 0 is :
1. (A) $2$
2. (B) $3$
3. (C) $1$
4. (D) $4$
Show answerAnswer
$Answer: (A) 2$
Question 3 · JEE Main 2021
Let p and q be two positive numbers such that p + q = 2 and p^4 + q^4 = 272. Then p and q are roots of the equation :
1. (A) $x^2 - 2x + 8 = 0$
2. (B) $x^2 - 2x + 136=0$
3. (C) $x^2 - 2x + 16 = 0$
4. (D) $x^2 - 2x + 2 = 0$
Show answerAnswer
$Answer: (C) x^2 - 2x + 16 = 0$
Question 4 · JEE Main 2020
The product of the roots of the equation 9x^2 - 18|x| + 5 = 0 is :
1. (A) $\frac{5}{9}$
2. (B) $\frac{5}{27}$
3. (C) $\frac{25}{81}$
4. (D) $\frac{25}{9}$
Show answerAnswer
$Answer: (C) \frac{25}{81}$
Question 5 · JEE Main 2020
The number of real roots of the equation, e^4x + e^3x – 4e^2x + e^x + 1 = 0 is :
1. (A) $1$
2. (B) $2$
3. (C) $3$
4. (D) $4$
Show answerAnswer
$Answer: (A) 1$

Quadratic Equation And Inequalities questions by year

Year	Questions	Share of chapter questions
2026	16
2025	16
2024	18
2023	22
2022	25
2021	25
2020	18
2019	16
2018	6
2017	3
2016	3

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FAQs

How many JEE Main questions have been asked from Quadratic Equation And Inequalities?

EByAi's bank holds 168 real JEE Main questions from Quadratic Equation And Inequalities, asked between 2016 and 2026 — about 15 per year on average. Every count is measured from actual papers, not estimated.

Is Quadratic Equation And Inequalities important for JEE Main?

168 questions over 11 papers make Quadratic Equation And Inequalities a moderate-weightage chapter in JEE Main Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Quadratic Equation And Inequalities PYQs online for free?

Yes. EByAi lets you solve JEE Main past-year questions in the browser with written solutions — free daily practice, no card needed.

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