List of top Questions asked in JEE Main

Which logic gate is specified by given circuit

Which of following are reducing and oxidising agent respectively.

If $A(1, 1, 1), B(0, λ, 0), C(λ + 1, 0, 1), D(2, -2, 2)$ are co-planer then $\sum (\lambda_i + 2)^2$ is equal to

The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

A train is moving with a speed of $10 m/s$ towards a platform and blows a horn with frequency $400 Hz$. Find the frequency heard by a passenger standing on the platform. Take speed of sound = $310 m/s$.

If $sin^{-1}x=2\,tan^{-1}x$ , then the number of integral values of x is equal to:

Shortest distance between lines $\frac{(x-5)}{4}$=$\frac{(y-3)}{6}$=$\frac{(z-2)}{4}$ and $\frac{(x-3)}{7}=\frac{(y-2)}{5}=\frac{(z-9)}{6}$ is ?

In which of the following cities photochemical smog is minimum?

Two circles having radius $r_1$ and $r_2$ touch both the coordinate axes. Line $x+y=2$ makes intercept 2 on both the circles. The value of $r_{1}^{2} + r_{2}^{2} - r_{1}r_{2}$ is:

Let $y = y(x), y > 0,$ be a solution curve of the differential equation $(1 +x^2)dy = y(x−y)dx.$ If $y(0) = 1$ and $y(2√2) = β$, then

The absolute difference of the coefficients of $x^{10}$ and $x^7$ in the expansion of $\left(2x^2 + \frac{1}{2x}\right)^{11}$ is equal to:

Which compound is added to cement to increase its setting time?

If (21)18 + 20·(21)17 + (20)2 · (21)16 + ……….. (20)18 = k (2119 – 2019) then k =

Let awards in event A is 48 and awards in event B is 25 and awards in event C is 18 and also n(A ∪ B ∪ C) = 60, n(A ⋂ B ⋂ C) = 5, then how many got exactly two awards is?

The depression in freezing point observed for a formic acid solution of concentration $05\, mL\, L ^{-1}$ is $00405^{\circ} C$ Density of formic acid is $105 \, g \, mL ^{-1}$ The Van't Hoff factor of the formic acid solution is nearly : (Given for water $k _{ f }=186 \, K \, kg \, mol ^{-1}$ )

If the system of equations
x + y + az = b
2x + 5y + 2z = 6
x + 2y + 3z = 3
Has infinitely many solutions, then 2a + 3b is equal to

Given below are two statements:

Assertion (A): A pendulum clock when taken to Mount Everest becomes fast.
Reason (R): The value of $ g $ (acceleration due to gravity) is less at Mount Everest than its value on the surface of Earth.

In the light of the above statements, choose the most appropriate answer from the options given below:

Two resistances are given as $R_1=(10 ±0.5) Ω$ and $R_2= (15±0.5) Ω$. The percentage error in the measurement of equivalent resistance when they are connected in parallel is -

0.5 gm of an organic compound with 60%. Carbon produce ______ gm of $CO_{2}$ upon complete combustion

A variable force $F=5x$ $N$ acts on a body moving along x-axis. Find the work done by this force in displacing the body from $x=2$ m to $x=4$ m.
(K is constant)

Match List I with List II

LIST I (Amines)		LIST II (pKb)
A	Aniline	I	3.25
B	Ethanamine	II	3.00
C	N-Ethylethanamine	III	9.38
D	N, N-Diethylethanamine	IV	3.29

Choose the correct answer from the options given below:

Let the system of linear equations
$-x + 2y - 9z = 7$,
$-x + 3y + 72 = 9$,
$-2x + y + 5z = 8$,
$-3x + y + 13z = \lambda$
has a unique solution $x = \alpha, y = \beta, z = \gamma$. Then the distance of the point $(\alpha, \beta, \gamma)$ from the plane $2x - 2y + z = \lambda$ is:

Let $y = y(x)$ be a solution curve of the differential equation $$(1 - x^2 y)\,dx = y\,dx + x\,dy.$$ If the line $x = 1$ intersects the curve $y = y(x)$ at $y = 2$ and the line $x = 2$ intersects the curve $y = y(x)$ at $y = \alpha$, then a value of $\alpha$ is:

When a 60 W electric heater is immersed in a gas for 100s in a constant volume container with adiabatic walls, the temperature of the gas rises by 5°C. The heat capacity of the given gas is_____J K^-1 (Nearest integer).

A mass $m$ is attached to two springs as shown in the figure. The spring constants of the two springs are $K_1$ and $K_2$. For the frictionless surface, the time period of oscillation of mass $m$ is:

A mass m is attached to two strings as shown in figure.