JEE Mains 30 December Daily Practice Questions for 2025 Session 1 with Solution

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JEE Mains 30 December Daily Practice Questions for 2025 Session 1 with Solution: The National Testing Agency (NTA) will be conducting the Joint Entrance Examination – Main from January 22 to 31, 2025. Candidates planning to appear for the exam can go through the JEE Mains 30 December Daily Practice Questions for 2025 Session 1 with Solution for their reference. By going through these questions, students can learn how to manage time during the exam by practicing regularly. This way, they can also work towards increasing their scores in the JEE Mains 2025 examination. The JEE Mains 30 December Daily Practice Questions for 2025 Session 1 with Solution is available below.

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JEE Mains 30 December Daily Practice Questions for 2025 Session 1 with Solution

Candidates can go through the JEE Mains 30 December Physics Daily Practice Questions for 2025 Session 1 with the Solution below.

JEE Mains 30 December Physics Daily Practice Questions for 2025 Session 1 with Solution

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

Assertion A: A circular disc with mass 'M' and radius 'R' was determined to have a 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: The mass and form of a rigid body in rotational motion are fixed. Select the best response from the following options in light of the aforementioned statements:

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 (C)

Q2. An open tap releases 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 (D)

Q3. At rest, a particle with a mass of 4M breaks apart into two particles with non-zero velocity, each with a mass of 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 (C)

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 (A)

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 (B)

JEE Mains 30 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 reactions.

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 the 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 (B)

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 (C)

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

H2O2
Liquid CO2
CCI4
CI2C = CCI2

Answer (C)

Q4. The protein that dissolves in water is

Albumin
Collagen
Muccin
Fibrin

Answer (A)

Q5. Two statements are provided below: Alkaline earth metal hydroxides do not dissolve in alkali, according to Statement I. Statement II: Alkaline earth metal hydroxides become more soluble in water as they move down the group. Select the best response from the alternatives below based on the aforementioned 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 (A)

JEE Mains 30 December Mathematics Daily Practice Questions for 2025 Session 1 with Solution.

Q1: In the case where a > 0, the length of line segment CD is equal to the foot of perpendiculars from points A(a, -2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0. equal to:

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

Answer (B)

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?

b2a2 + c2 + 3d2
b2 = 3(a2 + c2) - 9d2
b2 = 3(a2 + c2) + 9d2
b2 = 3(a2 + c2 + d2)

Answer (B)

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.

Answer (B)

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

Answer (B)

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