JEE Mains 31 December Daily Practice Questions for 2025 Session 1 with Solution

JEE Mains 31 December Daily Practice Questions for 2025 Session 1 with Solution are available here. Candidates can go through it to learn about the exam pattern.

Aman Kaur

Updated on - Jan 2, 2025 | 10:48 AM IST

JEE Mains 31 December Daily Practice Questions for 2025 Session 1 with Solution provided here (Image Credits: pexels.com).

JEE Mains 31 December Daily Practice Questions for 2025 Session 1 with Solution: From January 22 to 31, 2025, the National Testing Agency (NTA) have scheduled to hold the Joint Entrance Examination, Main. The JEE Mains 31 December Daily Practice Questions for 2025 Session 1 with Solution is available below. It is important for the candidates to be thorough while practicing the provided questions as they can figure out the exam pattern and predict the kind of questions that they can expect to answer. Apart from practicing the sample question, previous year questions, mock test, it is also important for the candidates to revise all the topics thoroughly. Candidates can go through the JEE Mains 31 December Daily Practice Questions for 2025 Session 1 with Solution for their reference.

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JEE Mains 31 December Daily Practice Questions for 2025 Session 1 with Solution

Candidates can go through the JEE Mains 31 December Physics Daily Practice Questions for 2025 Session 1 with Solution below.

JEE Mains 31 December Physics Daily Practice Questions for 2025 Session 1 with Solution

Q1. Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: A circular disc with mass 'M' and radius 'R' was determined to have moment of inertia about the X, Y (passing through its plane) and Z (perpendicular to its plane) axes of lx, ly, and Iz, respectively. For each of the three axes, the corresponding radii of gyration will be identical.

Reason R: A rigid body making rotational motion has fixed mass and shape.

Select the best response from the following options in light of the statements above:

Both A and R are correct but R is NOT the correct explanation of A.
A is correct but R is not correct.
A is not correct but R is correct.
Both A and R are correct and R is the correct explanation of A.

Answer (3)

Q2. An open tap is releasing water droplets at a specific pace. A droplet seen four seconds after it falls has a distance of 34.3 meters from the following droplet. How quickly are the droplets leaving the tap? (G = 9.8 m/s2)

1 drop/7 seconds
3 drops/2 seconds
2 drops/second
1 drop/second

Answer (4)

Q3. At rest, a particle with mass 4M breaks apart into two particles with non-zero velocity, each with mass M and 3M. The particle of mass M's de-Broglie wavelength divided by that of mass 3M will be:

1:3
1:(2)^1/2
1:1
3:1

Answer (3)

Q4.At the diamond-air interface, a laser beam with a wavelength of 630 nm strikes at a 30° angle. From diamond to air, that is. Air has a refractive index of 1, while diamond has a refractive value of 2.42. Select the appropriate choice.

refraction is not possible
angle of refraction is 30°
angle of refraction is 24.41°
angle of refraction is 53.4°

Answer (1)

Q5. A 2 kg body traveling at 4 m/s collides elastically with another body at rest, continuing to travel in the same direction but only moving at a quarter of its previous speed. The two centers of mass of the body move at a speed of x/10 m/s. Then, x's value is

Answer (2)

JEE Mains 31 December Chemistry Daily Practice Questions for 2025 Session 1 with Solution

Q1. Two statements are listed below; one is referred to as an assertion (A) and the other as a reason (R).

Assertion (A): Gabriel phthalimide synthesis cannot be used to prepare aromatic primary amines.

Reason (R): Aryl halides do not undergo nucleophilic substitution reaction. In the light of the above statements, choose the correct answer from the options given below :

(A) is false but (R) is true
Both (A) and (R) are true and (R) is correct explanation of (A)
(A) is true but (R) is false
Both (A) and (R) are true but (R) is not the correct explanation of (A)

Answer (2)

Q2. The ore that is anticipated to leach out during the process of alumina leaching from bauxite by reacting with NaOH is

TiO2
ZnO
SiO2
Fe2O3

Answer (3)

Q3. When dry cleaning clothing, which of the following chemical agents is not used?

H2O2
Liquid CO2
CCI4
CI2C = CCI2

Answer (3)

Q4. The protein that dissolves in water is

Albumin
Collagen
Myosin
Fibrin

Answer (1)

Q5: Given below are two statements:

Statement I: None of the alkaline earth metal hydroxides dissolve in alkali.

Statement II: Solubility of alkaline earth metal hydroxides in water increases down the group.

Select the best response from the alternatives below based on the abovementioned statements.

Statement I and Statement II both are correct
Statement I and Statement II both are incorrect
Statement I is incorrect but Statement II is correct
Statement I is correct but Statement II is incorrect

Answer (1)

JEE Mains 31 December Mathematics Daily Practice Questions for 2025 Session 1 with Solution

Q1. The length of line segment CD equals if, for a > 0, the feet of perpendiculars from points A(a, -2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0 are points C(0, -a, -1) and D, respectively.:

(41)^1/2
(66)^1/2
(55)^1/2
(31)^1/2

Answer (2)

Q2. Let a, b, and c be three observations such that b = a + c. Which of the following is true if a + 2 b + 2, c + 2 has a standard deviation of d?

b2 a2 + c2 + 3d2
b2 3(a2 + c2) - 9d2
b2 = 3(a2 + c2) + 9d2
b2 = 3(a2 + c2 + d2)

Answer (2)

Q3: Let P be a plane with the formula (1 - x) / 1 = (y + 4) / 4 = (z + 2) / 3 and Ix + my + nz = 0. The value of k is identical if plane P divides the line segment AB linking points A(-3, -6, 1) and B(2, 4, -3) in ratio k: 1.

(1) 2

(2) 4

(3) 1.5

(4) 3

Answer (1)

Q4: The set (xÎR: (x-3) | x + 4 | = 6) has the following number of elements:

Answer (2)

Q5: One card is missing from a pack of cards. Two randomly selected cards turn out to be spades. The likelihood that a spade is not the missing card is