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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.

16Papers
15Years
422Questions
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.

Not classified 422 100%

Question type distribution

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

Multiple Choices 411 97.4%
Subjective 11 2.6%

Subject weightage

Top subjects by unique question coverage.

Mathematics
422 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
422 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Matrices And Determinants
74 Qs
Complex Numbers
48 Qs
Sequence And Series
44 Qs
Quadratic Equations
43 Qs
Permutations And Combinations
38 Qs
Sets And Relations
37 Qs
Probability
32 Qs
Binomial Theorem
30 Qs
Three Dimensional Geometry
23 Qs
Vector Algebra
21 Qs
Logarithms
18 Qs
Mathematical Induction
7 Qs
Statistics
3 Qs
Mathematical Induction And Binomial Theorem
2 Qs
Sequences And Series
2 Qs

Paper coverage

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

WB JEE 2025
30 Qs
VITEEE 2025
19 Qs
WB JEE 2024
32 Qs
WB JEE 2023
28 Qs
WB JEE 2022
26 Qs
WB JEE 2021
30 Qs
WB JEE 2020
27 Qs
WB JEE 2019
27 Qs
WB JEE 2018
29 Qs
WB JEE 2017
29 Qs
WB JEE 2016
24 Qs
WB JEE 2012
5 Qs
WB JEE 2011
28 Qs
WB JEE 2010
28 Qs
WB JEE 2009
28 Qs
WB JEE 2008
32 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Matrices And Determinants

Explore previous-paper coverage, trends and focused practice for Matrices And Determinants.

77 questions18 papers16 years

Complex Numbers

Explore previous-paper coverage, trends and focused practice for Complex Numbers.

51 questions17 papers15 years

Quadratic Equations

Explore previous-paper coverage, trends and focused practice for Quadratic Equations.

48 questions18 papers16 years

Sequence And Series

Explore previous-paper coverage, trends and focused practice for Sequence And Series.

46 questions17 papers16 years

Permutations And Combinations

Explore previous-paper coverage, trends and focused practice for Permutations And Combinations.

41 questions18 papers16 years

Probability

Explore previous-paper coverage, trends and focused practice for Probability.

37 questions18 papers16 years

Sets And Relations

Explore previous-paper coverage, trends and focused practice for Sets And Relations.

39 questions15 papers14 years

Binomial Theorem

Explore previous-paper coverage, trends and focused practice for Binomial Theorem.

32 questions15 papers13 years

Vector Algebra

Explore previous-paper coverage, trends and focused practice for Vector Algebra.

26 questions12 papers10 years

Three Dimensional Geometry

Explore previous-paper coverage, trends and focused practice for Three Dimensional Geometry.

26 questions13 papers11 years

Logarithms

Explore previous-paper coverage, trends and focused practice for Logarithms.

19 questions14 papers13 years

Mathematical Induction

Explore previous-paper coverage, trends and focused practice for Mathematical Induction.

8 questions7 papers7 years

Statistics

Explore previous-paper coverage, trends and focused practice for Statistics.

3 questions3 papers3 years

Mathematical Induction And Binomial Theorem

Explore previous-paper coverage, trends and focused practice for Mathematical Induction And Binomial Theorem.

2 questions1 papers1 years

Sequences And Series

Explore previous-paper coverage, trends and focused practice for Sequences And Series.

2 questions1 papers1 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
VITEEE 2025202519View paper
WB JEE 2025202530View paper
WB JEE 2024202432View paper
WB JEE 2023202328View paper
WB JEE 2022202226View paper
WB JEE 2021202130View paper
WB JEE 2020202027View paper
WB JEE 2019201927View paper
WB JEE 2018201829View paper
WB JEE 2017201729View paper
WB JEE 2016201624View paper
WB JEE 201220125View paper
WB JEE 2011201128View paper
WB JEE 2010201028View paper
WB JEE 2009200928View paper
WB JEE 2008200832View paper

Sample previous year questions

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

1
2016 · Mathematics · Algebra · Sets And Relations
WB JEE 2016
Let R be a relation defined on the set Z of all integers and xRy, when x + 2y is divisible by 3, then
A
R is not transitive
B
R is symmetric only
C
R is an equivalence relation
D
R is not an equivalence relation
Open complete paper
2
2017 · Mathematics · Algebra · Logarithms
WB JEE 2017
If \(({\log _5}x)({\log _x}3x)({\log _{3x}}y) = {\log _x}{x^3}\), then y equals
A
125
B
25
C
5/3
D
243
Open complete paper
3
2018 · Mathematics · Algebra · Logarithms
WB JEE 2018
If \(x + {\log _{10}}(1 + {2^x}) = x{\log _{10}}5 + {\log _{10}}6\), then the value of x is
A
\({1 \over 2}\)
B
\({1 \over 3}\)
C
1
D
2
Open complete paper
4
2019 · Mathematics · Algebra · Matrices And Determinants
WB JEE 2019
Let \(A = \left[ {\matrix{ 3 & 0 & 3 \cr 0 & 3 & 0 \cr 3 & 0 & 3 \cr } } \right]\). Then, the roots of the equation det \((A - \lambda {I_3})\) = 0 (where I3 is the identity matrix of order 3) are
A
3, 0, 3
B
0, 3, 6
C
1, 0, \(-\)6
D
3, 3, 6
Open complete paper
5
2020 · Mathematics · Algebra · Quadratic Equations
WB JEE 2020
Let z1 and z2 be two imaginary roots of z2 + pz + q = 0, where p and q are real. The points z1, z2 and origin form an equilateral triangle if
A
p2 > 3q
B
p2 < 3q
C
p2 = 3q
D
p2 = q
Open complete paper
6
2021 · Mathematics · Algebra · Sequence And Series
WB JEE 2021
Consider the real valued function h : {0, 1, 2, ...... 100} \(\to\) R such that h(0) = 5, h(100) = 20 and satisfying h(p) = \({1 \over 2}\) {h(p + 1) + h(p \(-\) 1)} for every p = 1, 2 ..... 99. Then the value of h(1) is
A
5.15
B
5.5
C
6
D
6.15
Open complete paper