JEE Maths PYQ Practice, chapter-wise

JEE Main 2026 (Online) 2nd April Evening ShiftQuestion 1

The sum $\frac{1^{3}}{1}+\frac{1^{3}+2^{3}}{1+3}+\frac{1^{3}+2^{3}+3^{3}}{1+3+5}+\ldots$ up to $8$ terms, is :

Sequence and Series · Standard Sums (Σ formulas)

$70$$71$$72$$73$

JEE Main 2026 (Online) 5th April Evening ShiftQuestion 2

Let $A_1,A_2,A_3,\ldots\ldots,A_{39}$ be $39$ arithmetic means between the numbers $59$ and $159$. Then the mean of $A_{25},A_{28},A_{31}$ and $A_{36}$ is equal to :

Sequence and Series · Means and Inequalities (AM, GM, HM)

$129$$136$$131.50$$134$

JEE Main 2026 (Online) 4th April Evening ShiftQuestion 3

Let $\alpha=\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\ldots\infty$ and $\beta=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\ldots\infty$. Then the value of $(0.2)^{\log_{\sqrt{5}}(\alpha)}+(0.04)^{\log_{5}(\beta)}$ is equal to:

Sequence and Series · Geometric Progression

$4$$5$$8$$25$

JEE Main 2026 (Online) 5th April Evening ShiftQuestion 4

If the sum of the first $10$ terms of the series $\frac{1}{1+1^{4}\times4}+\frac{2}{1+2^{4}\times4}+\frac{3}{1+3^{4}\times4}+\frac{4}{1+4^{4}\times4}+\ldots\ldots$ is $\frac{m}{n}$, $\gcd(m,n)=1$, then $m+n$ is equal to :

Sequence and Series · Telescoping ($V_n$ Method)

$256$$264$$276$$284$

JEE Main 2026 (Online) 2nd April Evening ShiftQuestion 5

Let $a_1,a_2,a_3,\ldots$ be an A.P. and $g_1=a_1,g_2,g_3,\ldots$ be an increasing G.P. If $a_1=a_2+g_2=1$ and $a_3+g_3=4$, then $a_{10}+g_5$ is equal to :

Sequence and Series · Mixed Progressions (AP-GP)

$81$$76$$62$$55$