JEE Main DPP 30 November 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 30 November 2024: JEE Main Session 1 2025 will take place from January 22 to 31. Applicants preparing for the exam must focus on practising the JEE Main sample papers. Hence, here are some daily practice questions with answers for JEE Main DPP 30 November 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

JEE Main DPP 30 November 2024: Physics

Candidates can check out the JEE Main DPP 30 November 2024 daily practice problems for 2025 aspirants from the Physics section: 

Question 1: A ball of mass 0.15 kg hits the wall with its initial speed of 12 ms–1 and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is 100 N, calculate the time duration of the contact of the ball with the wall.

(A) 0.018 s                

(B) 0.036 s

(C) 0.009 s                

(D) 0.072 s

Answer (B)

Question 2: In a Vernier Calipers, 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both jaws of Vernier calipers touch each other, the zero of the Vernier scale is shifted to the left of zero of the main scale and 4th Vernier scale division exactly coincides with the main scale reading. One main scale division is equal to 1 mm. While measuring the diameter of a spherical body, the body is held between two jaws. It is now observed that zero of the Vernier scale lies between 30 and 31 divisions of main scale reading and 6th Vernier scale division exactly coincides with the main scale reading. The diameter of the spherical body will be 

(A) 3.02 cm 

(B) 3.06 cm

(C) 3.10 cm               

(D) 3.20 cm

Answer (C)

Question 3: A body of mass 8 kg and another of mass 2 kg are moving with equal kinetic energy. The ratio of their respective momenta will be

(A) 1:1                      

(B) 2:1

(C) 1:4                      

(D) 4:1

Answer (B)

Question 4: Two uniformly charged spherical conductors A and B of radii 5 mm and 10 mm are separated by a distance of 2 cm. If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitude of the electric fields at the surface of the sphere A and B will be

(A) 1:2                            

(B) 2:1

(C) 1:1                      

(D) 1:4

Answer (B)

Question 5: A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be:

(Take radius of earth = 6400 km and g = 10 ms–2) 

(A) 800 km    

(B) 1600 km

(C) 2133 km              

(D) 4800 km

Answer (A)

JEE Main DPP 30 November 2024: Chemistry

Question 1: Class XII students were asked to prepare one litre of buffer solution of pH 8.26 by their Chemistry teacher. The amount of ammonium chloride to be dissolved by the student in 0.2 M ammonia solution to make one litre of the buffer is

(Given : pKb (NH3) = 4.74, Molar mass of NH3 = 17 g mol–1, Molar mass of NH4Cl = 53.5 g mol–1)

(A) 53.5 g                  

(B) 72.3 g

(C) 107.0 g                

(D) 126.0 g

Answer (C)

Question 2: Arrange the following in increasing order of their covalent character.

A. CaF2

B. CaCl2

C. CaBr2

D. CaI2

Choose the correct answer from the option given below.

(A) B < A < C < D      

(B) A < B < C < D

(C) A < B < D < C      

(D) A < C < B < D

Answer (B)

Question 3: The metal that has very low melting point and its periodic position is closer to a metalloid is

(A) Al                        

(B) Ga

(C) Se                       

(D) ln

Answer (B)

Question 4: Given below are two statements: one is labelled as Assertion A and other is labelled as Reason R. 

Assertion A : Finest gold is red in colour, as the size of the particles increases, it appears purple then blue and finally gold.

Reason R : The colour of the colloidal solution depends on the wavelength of light scattered by the dispersed particles.

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

(A) Both A and R are true and R is the correct explanation of A

(B) Both A and R are true but R is NOT the correct explanation of A

(C) A is true but R is false

(D) A is false but R is true

Answer (A)

Question 5: The metal that is not extracted from its sulfide ore is

(A) Aluminium

(B) Iron

(C) Lead

(D) Zinc

Answer (A)

JEE Main DPP 30 November 2024: Mathematics

Candidates can check out the JEE Main DPP 30 November 2024 daily practice problems for 2025 aspirants from Maths section: 

Problem 1: Let R be a relation from the set {1, 2, 3,........, 60} to itself such that R = {(a, b) : b = pq, where p, q>= 3 are prime numbers}. Then, the number of elements in R is :

(A) 600

(B) 660

(C) 540

(D) 720

Solution (B)

Problem 2: Let A and B be two 3 × 3 non-zero real matrices such that AB is a zero matrix. Then

(A)   the system of linear equations AX = 0 has a unique solution

(B)   the system of linear equations AX = 0 has infinitely many solutions

(C) B is an invertible matrix

(D) adj(A) is an invertible matrix

Solution (B)

Problem 3: If z = 2 + 3i, then z^5 + |z|^5 is equal to :

(A) 244                      

(B) 224

(C) 245                      

(D) 265

Solution (A)

Problem 4: If the foot of the perpendicular from the point A(–1, 4, 3) on the plane P : 2x + my + nz = 4, is (-2, 7/2, 5/2) then the distance of the point A from the plane P, measured parallel to a line with direction ratios 3 –1, –4, is equal to

(A) 1

(B) (26)^½

(C) 2(2)^½

(D) (14)^½

Solution (B)

Problem 5: Let S= {1,2,3, …….., 2022}. Then the probability, that a random chosen number n from the set S such that HCF(n, 2022) =1, is 

(A) 128/1011                

(B) 166/1011

(C) 127/337                   

(D) 112/337

Solution (D)

Keep visiting CollegeDekho for the latest Education News on entrance exams, board exams and admissions. You can also write to us at our email ID news@collegedekho.com.