List of top Questions asked in JEE Main- 2024

Which of the following sets of elements can be detected by Lassaigne's Test ?
\(L_1: γ^-=(i+2j+3k)+λ(i-j+k)\);
\(L_2: γ^-=(4i+5j+6k)+μ(i+j-k)\),
intersect \(L_1\) and \(L_2\) at P and Q respectively. If \((α, β, γ)\) is the mid point of the line segment PQ, then \(2(α, β, γ\)) is equal to
Five people are distributed in four identical rooms. A room can also contain zero people. Find the number of ways to distribute them.
Solubility of \(Ca_3(PO_4)_2\) in \(100\) \(mL\) of pure water is \(W\) gm. Find out \(K_{sp}\) of \(Ca_3(PO_4)_2\) is: (M: Molecular mass of \(Ca_3(PO_4)_2\))
A \(10\) \(mL\) hydrocarbon \((C_2H_4)\) on combustion give \(40\) \(mL\) \(CO_2\) and \(50\) \(mL\) \(H_20\). Calculate the value of \(x+y\)
Which of the following has the highest 3rd ionization energy?
Which of the following compounds has intramolecular hydrogen bonding in it?
Given: \(5f (x) 4f(\frac 1x) = x^2 - 4 \) & \(y = 9f(x) × x^2\) If y is strictly increasing, then find interval of \(x\).
Which of the following compounds have colour due to d-d transition?
Number of radial nodes present in 3p are
Let S = {1,2,3,..., 20}, R1 = {(a, b): a divide b}, R2 = {(a, b): a is integral multiple of b} and a, b ∈ S. n(R1 - R2) = ?
If \((t+1)dx=(2x+(t+1)^3)dt\) and \(x(0)=2\), then \(x(1) \)is equal to:
Which of the following have a trigonal bipyramidal shape?
\(PF_5, PBr_5, [PtCl_4], SF_6, BF_3, BrF_5, PCl_5, [Fe(CO)_5]\)
We are given with three NaCl samples and their Van't Hoff factors. Which is correct option ?
SampleVan't Haff Factor 
Sample - 1 (0.1 M)\(i_1\)
Sample - 2 (0.01 M)\(i_2\)
Sample - 3 (0.001 M)\(i_2\)
Which of the following is correct for adiabatic free expansion against vacuum?
Complementary stand of DNA ATGCTTCA is:
Which is following compound is easily attacked by electrophile?
Let\(f(x) = |2x^2 + 5|x - 3|, x \in \mathbb{R}\). If \(m\) and \(n\) denote the number of points were \(f\)is not continuous and not differentiable respectively, then\(m + n\)is equal to:

In a survey of 220 students of a higher secondary school, it was found that at least 125 and at most 130 students studied Mathematics; at least 85 and at most 95 studied Physics; at least 75 and at most 90 studied Chemistry; 30 studied both Physics and Chemistry; 50 studied both Chemistry and Mathematics; 40 studied both Mathematics and Physics and 10 studied none of these subjects. Let m and n respectively be the least and the most number of students who studied all the three subjects. Then m + n is equal to _____

The coefficient of \( x^{70} \) in \( x^2 (1+x)^{98} + x^3 (1+x)^{97} + x^4 (1+x)^{96} + \ldots + x^{54} (1+x)^{46} \) is \( ^{99}C_p - ^{46}C_q \).
Then a possible value to \( p + q \) is:
Given below are two statements :
Statement I : Gallium is used in the manufacturing of thermometers.
Statement II : A thermometer containing gallium is useful for measuring the freezing point (256 K) of brine solution.
In the light of the above statement, choose the correct answer from the options given below :

Two resistances of 100Ω and 200Ω are connected in series with a battery of 4V and negligible internal resistance. A voltmeter is used to measure voltage across the 100Ω resistance, which gives a reading of 1V. The resistance of the voltmeter must be _____ Ω.

Two thermodynamical processes are shown in the figure. The molar heat capacity for process \( A \) and \( B \) are \( C_A \) and \( C_B \). The molar heat capacity at constant pressure and constant volume are represented by \( C_P \) and \( C_V \), respectively. Choose the correct statement.
Figure
Let a variable line passing through the centre of the circle x2 + y2 – 16x – 4y = 0, meet the positive co-ordinate axes at the point A and B. Then the minimum value of OA + OB, where O is the origin, is equal to
Number of integral terms in the expansion of \( \left( \sqrt{7} z + \frac{1}{6 \sqrt{z}} \right)^{824} \) is equal to ______.