jee-main

Papers (191)
2026
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2025
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2024
session1_01feb_shift1 5 session1_01feb_shift2 21 session1_27jan_shift1 28 session1_27jan_shift2 30 session1_29jan_shift1 28 session1_29jan_shift2 29 session1_30jan_shift1 20 session1_30jan_shift2 29 session1_31jan_shift1 16 session1_31jan_shift2 15 session2_04apr_shift1 5 session2_04apr_shift2 28 session2_05apr_shift1 4 session2_05apr_shift2 30 session2_06apr_shift1 21 session2_06apr_shift2 30 session2_08apr_shift1 30 session2_08apr_shift2 29 session2_09apr_shift1 8 session2_09apr_shift2 30
2023
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2022
session1_24jun_shift1 19 session1_24jun_shift2 25 session1_25jun_shift1 14 session1_25jun_shift2 14 session1_26jun_shift1 29 session1_26jun_shift2 24 session1_27jun_shift1 4 session1_27jun_shift2 29 session1_28jun_shift1 13 session1_29jun_shift1 20 session1_29jun_shift2 4 session2_25jul_shift1 29 session2_25jul_shift2 20 session2_26jul_shift1 29 session2_26jul_shift2 23 session2_27jul_shift1 28 session2_27jul_shift2 29 session2_28jul_shift1 11 session2_28jul_shift2 29 session2_29jul_shift1 17 session2_29jul_shift2 18
2021
session1_24feb_shift1 9 session1_24feb_shift2 4 session1_25feb_shift1 29 session1_25feb_shift2 29 session1_26feb_shift2 15 session2_16mar_shift1 29 session2_16mar_shift2 18 session2_17mar_shift1 21 session2_17mar_shift2 27 session2_18mar_shift1 18 session2_18mar_shift2 9 session3_20jul_shift1 29 session3_20jul_shift2 29 session3_22jul_shift1 9 session3_25jul_shift1 8 session3_25jul_shift2 14 session3_27jul_shift1 4 session3_27jul_shift2 7 session4_01sep_shift2 14 session4_26aug_shift1 5 session4_26aug_shift2 2 session4_27aug_shift1 3 session4_27aug_shift2 29 session4_31aug_shift1 28 session4_31aug_shift2 4
2020
session1_07jan_shift1 28 session1_07jan_shift2 20 session1_08jan_shift1 5 session1_08jan_shift2 11 session1_09jan_shift1 26 session1_09jan_shift2 16 session2_02sep_shift1 18 session2_02sep_shift2 16 session2_03sep_shift1 23 session2_03sep_shift2 8 session2_04sep_shift1 14 session2_04sep_shift2 27 session2_05sep_shift1 22 session2_05sep_shift2 29 session2_06sep_shift1 11 session2_06sep_shift2 10
2019
session1_09jan_shift1 6 session1_09jan_shift2 29 session1_10jan_shift1 29 session1_10jan_shift2 14 session1_11jan_shift1 6 session1_11jan_shift2 5 session1_12jan_shift1 10 session1_12jan_shift2 29 session2_08apr_shift1 29 session2_08apr_shift2 29 session2_09apr_shift1 29 session2_09apr_shift2 29 session2_10apr_shift1 2 session2_10apr_shift2 5 session2_12apr_shift1 3 session2_12apr_shift2 9
2018
08apr 30 15apr 28 15apr_shift1 28 15apr_shift2 6 16apr 19
2017
02apr 30 08apr 30 09apr 34
2016
03apr 28 09apr 29 10apr 30
2015
04apr 29 10apr 29 11apr 8
2014
06apr 28 09apr 28 11apr 4 12apr 5 19apr 29
2013
07apr 29 09apr 12 22apr 5 23apr 14 25apr 13
2012
07may 17 12may 21 19may 14 26may 17 offline 30
2011
jee-main_2011.pdf 18
2010
jee-main_2010.pdf 6
2009
jee-main_2009.pdf 2
2008
jee-main_2008.pdf 4
2007
jee-main_2007.pdf 38
2006
jee-main_2006.pdf 15
2005
jee-main_2005.pdf 25
2004
jee-main_2004.pdf 22
2003
jee-main_2003.pdf 8
2002
jee-main_2002.pdf 12
2026 session1_28jan_shift2

9 maths questions

Q18 Binomial Theorem (positive integer n) Find a Specific Coefficient in a Product of Binomial/Polynomial Expressions View
The sum of coefficients of $\mathbf { x } ^ { \mathbf { 4 9 9 } }$ and $\mathbf { x } ^ { \mathbf { 5 0 0 } }$ in the binomial expansion of $( 1 + x ) ^ { 1000 } + ( 1 + x ) ^ { 999 } ( x ) + x ^ { 2 } ( 1 + x ) ^ { 998 } + \cdots + x ^ { 1000 }$ is (A) ${ } ^ { 1002 } \mathrm { C } _ { 501 }$ lool terms (B) ${ } ^ { 1001 } \mathrm { C } _ { 501 }$ (C) ${ } ^ { 1001 } \mathrm { C } _ { 500 } \quad \gamma = \frac { x } { 1 + x }$ (D) ${ } ^ { 1002 } \mathrm { C } _ { 500 }$
Q19 Partial Fractions View
If $\sum _ { r = 1 } ^ { 25 } \frac { r } { r ^ { 4 } + r ^ { 2 } + 1 } = \frac { p } { q ^ { \prime } }$, where $p$ and $q$ are coprime positive integer, then $\mathrm { p } + \mathrm { q }$ is equal to (A) 841 (B) 984 (C) 976 (D) 890
Q20 Arithmetic Sequences and Series Summation of Derived Sequence from AP View
$\frac { 6 } { 3 ^ { 26 } } + \frac { 10 } { 3 ^ { 25 } } + \frac { 10.2 } { 3 ^ { 24 } } + \frac { 10.2 ^ { 2 } } { 3 ^ { 23 } } + \cdots + \frac { 10.2 ^ { 24 } } { 3 }$ is equal to
Q21 Indefinite & Definite Integrals Piecewise/Periodic Function Integration View
The value of $\int _ { - \frac { \pi } { 2 } } ^ { \frac { \pi } { 2 } } \frac { 12 ( 3 + [ x ] ) } { 3 + [ \sin x ] + [ \cos x ] } d x$ is equal to (A) $3 + 10 \pi$ (B) $11 \pi + 2$ (C) $10 \pi + 2$
Q22 Reciprocal Trig & Identities View
By the princibal of inverse trigonometric function, the value of $\tan \left( 2 \sin ^ { - 1 } \left( \frac { 2 } { \sqrt { 13 } } \right) - 2 \cos ^ { - 1 } \left( \frac { 3 } { \sqrt { 10 } } \right) \right)$ is (A) $\frac { 31 } { 55 }$ (B) $\frac { 33 } { 56 }$ (C) $\frac { 32 } { 59 }$ (D) $\frac { 38 } { 55 }$
Q23 Circles Chord Length and Chord Properties View
the parabola $\mathbf { y } ^ { 2 } = 8 \mathbf { x }$ such that $\left( \frac { 7 } { 3 } , \frac { 4 } { 3 } \right)$ is the centrodd of the $( B C ) ^ { 2 }$ is equal to (A) 120 (B) 150 (C) 90
Q24 Complex Numbers Argand & Loci Distance and Region Optimization on Loci View
Let $A = \{ Z \in C : | Z - 2 | \leq 4 \}$ and $B = \{ Z \in C : | Z - 2 | + | Z + 2 | \leq 4 \}$ then $\boldsymbol { \operatorname { m a x } } \left\{ \mathrm { Z } _ { 1 } - \mathrm { Z } _ { 2 } \right\} : \mathrm { Z } _ { 1 } \in \mathrm {~A} \text { and } \mathrm { Z } _ { 2 } \in \mathrm {~B} \text { is equal to }$ (A) 8 (B) 6 (C) 4
Q25 Matrices Matrix Power Computation and Application View
Let $\mathrm { A } = \left[ \begin{array} { l l } 3 & - 4 \\ 1 & - 1 \end{array} \right]$ and B be a $2 \times 2$ matrix such that $\mathrm { A } ^ { 100 } = \underline { 100 \mathrm {~B} } + \mathrm { I }$, then sum of all elements of $B ^ { 100 }$ is
Q26 Proof True/False Justification View
Statement I: $25 ^ { 13 } + 20 ^ { 13 } + 8 ^ { 13 } + 3 ^ { 13 }$ is divisible $b - 7$. Statement II: The integral value of $( 7 + 4 \sqrt { 3 } ) \sqrt { 25 } )$ is an odd number (A) Neither statements are correct (B) Only statement I is correct (C) Only statement II is correct (D) Both the statements are correct