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Previous year question hub

Algebra - Mathematics Previous Year Questions

Practice Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

10Papers
7Years
12Questions
1Topics

Algebra question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Algebra. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 9 75%
Hard 2 16.7%
Easy 1 8.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 8 66.7%
Numerical Answer Type (NAT) 3 25%
Subjective 1 8.3%

Subject weightage

Top subjects by unique question coverage.

Mathematics
12 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
12 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Binomial Theorem
4 Qs
3D Geometry
4 Qs
Complex Numbers
2 Qs
Quadratic Equation And Inequalities
1 Qs
Vector Algebra
1 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
1 Qs
IIT-JEE 2007
1 Qs
AIEEE 2005
1 Qs
AIEEE 2003
2 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT20191View paper
IIT-JEE 200720071View paper
AIEEE 200520051View paper
AIEEE 200320032View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2003 · Mathematics · Algebra · Complex Numbers
AIEEE 2003
Let \({Z_1}\) and \({Z_2}\) be two roots of the equation \({Z^2} + aZ + b = 0\), Z being complex. Further , assume that the origin, \({Z_1}\) and \({Z_2}\) form an equilateral triangle. Then :
A
\({a^2} = 4b\)
B
\({a^2} = b\)
C
\({a^2} = 2b\)
D
\({a^2} = 3b\)
Open complete paper
2
2005 · Mathematics · Algebra · Quadratic Equation And Inequalities
AIEEE 2005
If the roots of the equation \({x^2} - bx + c = 0\) be two consecutive integers, then \({b^2} - 4c\) equals
A
\(-2\)
B
\(3\)
C
\(2\)
D
\(1\)
Open complete paper
3
2019 · Mathematics · Algebra · Binomial Theorem
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
The smallest natural number n, such that the coefficient of x in the expansion of \({\left( {{x^2} + {1 \over {{x^3}}}} \right)^n}\) is nC23, is :
A
23
B
58
C
38
D
35
Open complete paper
4
2020 · Mathematics · Algebra · Binomial Theorem
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT
If the number of integral terms in the expansion
of (31/2 + 51/8)n is exactly 33, then the least value of n is :
A
264
B
256
C
128
D
248
Open complete paper
5
2020 · Mathematics · Algebra · Binomial Theorem
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT
If {p} denotes the fractional part of the number p, then
\(\left\{ {{{{3^{200}}} \over 8}} \right\}\), is equal to :
A
\({5 \over 8}\)
B
\({7 \over 8}\)
C
\({1 \over 8}\)
D
\({3 \over 8}\)
Open complete paper
6
2020 · Mathematics · Algebra · 3D Geometry
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT
If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing through (\(\alpha\), 7, 1) is \(\left( {{5 \over 3},{7 \over 3},{{17} \over 3}} \right)\), then \(\alpha\) is equal to______.
Enter a numerical response
Open complete paper