JEE Maths PYQ Practice, chapter-wise

JEE Main 2021 (Online) 24th February Morning ShiftQuestion 1

A scientific committee is to be formed from $6$ Indians and $8$ foreigners, which includes at least $2$ Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is :

Permutation and Combination

$1050$$1625$$560$$575$

JEE Main 2021 (Online) 24th February Evening ShiftQuestion 2

If $n\ge2$ is a positive integer, then the sum of the series ${}^{n+1}C_{2}+2\left({}^{2}C_{2}+{}^{3}C_{2}+{}^{4}C_{2}+\ldots+{}^{n}C_{2}\right)$ is :

Permutation and Combination

$\frac{n(n-1)(2n+1)}{6}$$\frac{n(n+1)(2n+1)}{6}$$\frac{n(2n+1)(3n+1)}{6}$$\frac{n(n+1)^{2}(n+2)}{12}$

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

Let $A=\{(a,b,c):a,b,c$ are non-negative integers and $a+b+2c=22\}$. Then $n(A)$ is equal to:

Permutation and Combination

$121$$124$$144$$169$

JEE Main 2026 (Online) 6th April Evening ShiftQuestion 4

A building has ground floor and $10$ more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the $10^{\text{th}}$ floor. The number of ways, in which any $4$ persons exit at a floor and the remaining $5$ persons exit at a different floor, if the lift does not stop at the first and the second floors, is equal to :

Permutation and Combination

$2184$$3064$$7056$$11340$

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

A box contains $5$ blue, $6$ yellow and $4$ red balls. The number of ways, of drawing $8$ balls containing at least two balls of each colour, is :

Permutation and Combination

$4100$$4140$$4230$$4290$