List of top Questions asked in JEE Main- 2023

Let a die be rolled \( n \) times. Let the probability of getting odd numbers seven times be equal to the probability of getting odd numbers nine times. If the probability of getting even numbers twice is \( \frac{k}{2^{15}} \), then \( k \) is equal to:

\(y=f(x)\) is a quadratic function passing through (–1, 0) and tangent to it at (1, 1) is \(y=x\). Find x intercept by normal at point (𝛂, 𝛂 + 1), (𝛂 > 0)

Let O be the origin and OP and OQ be the tangents to the circle \( x^2 + y^2 - 6x + 4y + 8 = 0 \) at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point \( \left( \alpha, \frac{1}{2} \right) \), then a value of \( \alpha \) is.

Let a circle of radius 4 be concentric to the ellipse \( 15x^2 + 19y^2 = 285 \). Then the common tangents are inclined to the minor axis of the ellipse at the angle:

The compound which does not exist.

A particle of mass m moving with a velocity v collides with a particle of mass 2m at rest and sticks to it. Velocity of the combined mass equal to?

Eight persons are to be transported from city A to city B in three cars of different makes. If each car can accommodate at most three persons, then the number of ways in which they can be transported is:

The enthalpy change for the adsorption process and micelle for mation respectively are

Prolonged heating of ferrous ammonium sulphate is avoided to prevent :

One which does not stabilize secondary and tertiary protein?

The coefficient of x⁷ in (1 – 2x + x³)¹⁰ is?

Find the number of integral values of x which satisfy the inequality x₂–10x+19<6.

From a square of side 30 cm the squares of side x cm is cut off to make a cuboid of maximum volume. The surface area of cuboid with open top is?

Which of the following is used as a stabilizer during the concen tration of sulphide ores?

The octahedral diamagnetic low spin complex among the following is

Electric potential at a point \( P \) due to a point charge of \( 5 \times 10^{-9} \, \text{C} \) is \( 50 \, \text{V} \). The distance of \( P \) from the point charge is:

The negation of \( (p \land (\sim q)) \lor (\sim p) \) is equivalent to:

Select the correct option:
\(2CO (g) + O_2 (g) → 2CO_2 (g) ; ΔH = -x KJ/mol\)
\(C (graphite) + O_2(g) → CO_2 (g) ; AH = -y KJ/mol\)
Then AH for, \(C(graphite) + \frac{1}{2} O_2 (g) → CO (g):\)

Read the following two statements:
Statement I: Potassium dichromate is used in volumetric analysis.
Statement II: \(K_2Cr_2O_7\) is more soluble in water than \(Na_2Cr_2O_7\)

3, 8, 13, ......,373 are in arithmetic series. The sum of numbers not divisible by three is

An object moves x distance with speed \(v_1\) and next \(x\) distance with speed \(v_2\). The average velocity \(v\) is related to \(v_1\) and \(v_2\) as

The increasing order of metallic character

Find the radius of the orbit corresponding to the 4th excited state in Li++. (a0 is the radius of first orbit in H-atom)

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R Assertion (A): Earth has atmosphere and moon doesn’t Reason (R): escape speed on moon is less than that Earth. In the light of the above statements, choose the correct answer from the options given below

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion (A): Range of a horizontal projectile is maximum when angle of projection is \(θ = 45°\).
Reason (R): Range is maximum when \(sin\ (2θ)=1\).
In the light of the above statements, choose the correct answer from the options given below