JEE Main DPP 15 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 15 December 2024

JEE Main DPP 15 December 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 15 December 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 15 December 2024: DPP for 2025 aspirants

JEE Main DPP 15 December 2024: Physics

Candidates can check out the JEE Main DPP 15 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: Given below are two statements:

Statement I: The electric force changes the speed of the charged particle and hence changes its kinetic energy; whereas the magnetic force does not change the kinetic energy of the charged particle.

Statement II: The electric force accelerates the positively charged particle perpendicular to the direction of the electric field. The magnetic force accelerates the moving charged particle along the direction of the magnetic field.

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

(A) Both statement I and statement II are correct

(B)  Both statement I and statement II are incorrect

(C) Statement I is correct but statement II is incorrect

(D) Statement I is incorrect but statement II is correct

Answer (C)

Question 2: A block of mass M placed inside a box descends vertically with acceleration ‘a’. The block exerts a force equal to one-fourth of its weight on the floor of the box.

(A) g/4

(B) g/2

(C) 3g/4

(D) g

Answer (C)

Question 3: If the electric potential at any point (x, y, z)m in space is given by V = 3x2 volt.

The electric field at the point (1, 0, 3)m will be

(A) 3 Vm–1, directed along positive x-axis

(B) 3 Vm–1, directed along negative x-axis

(C) 6 Vm–1, directed along positive x-axis

(D) 6 Vm–1, directed along negative x-axis

Answer (D)

Question 4: A person can throw a ball up to a maximum range of 100 m. How high above the ground can he throw the same ball?

(A) 25 m

(B) 50 m

(C) 100 m

(D) 200 m

Answer (B)

Question 5: The combination of two identical cells, whether connected in series or parallel combination, provides the same current through an external resistance of 2 ohms. The value of internal resistance of each cell is

(A) 2 ohms

(B) 4 ohms

(C) 6 ohms

(D) 8 ohms

Answer (A)

JEE Main DPP 15 December 2024: Chemistry

Candidates can check out the JEE Main DPP 15 December  2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : Dacron is an example of polyester polymer.

Reason R : Dacron is made up of ethylene glycol and terephthalic acid monomers.

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

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

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

(C)  A is correct but R is not correct.

(D) A is not correct but R is correct.

Answer (A)

Question 2 : The mixture of chloroxylenol and terpineol is an example of

(A) Antiseptic

(B)  Pesticide

(C) Disinfectant

(D) Narcotic analgesic

Answer (A)

Question 3: A white precipitate was formed when BaCl2 was added to water extract of an inorganic salt. Further, a gas 'X' with characteristic odour was released when the formed white precipitate was dissolved in dilute HCl. The anion present in the inorganic salt is

(A) I–

(B) SO2-

(C) S2–

(D)  NO-

Answer (B)

Question 4: The structure of protein that is unaffected by heating is

(A) Secondary Structure

(B) Tertiary Structure

(C)  Primary Structure

(D) Quaternary Structure

Answer (C)

Question 5: A box contains 0.90 g of liquid water in equilibrium with water vapour at 27°C. The equilibrium vapour pressure of water at 27°C is 32.0 Torr. When the volume of the box is increased, some of the liquid water evaporates to maintain the equilibrium pressure. If all the liquid water evaporates, then the volume of the box must be   litre. [nearest integer]

(Given : R = 0.082 L atm K–1 mol–1]

(A) 26

(B) 27

(C) 28

(D) 29

Answer (D)

JEE Main DPP 15 December 2024: Mathematics

Candidates can check out the JEE Main DPP 15 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: Let the acute angle bisector of the two planes x – 2y – 2z + 1 and 2x – 3y – 6z + 1 = 0 be the plane P. Then which of the following points lies on P?

(1)  (-2,0, ½)

(2)  (0,2,-4)

(3)  (4,0,-2)

(4) (3,1,-½)

Solution (1)

Problem 2: The distance of line 3y – 2z – 1 = 0 = 3x – z + 4 from the point (2, –1, 6) is

(1) 2(6)^½

(2) (26)^½

(3) 4(6)^½

(4) 2(5)^½

Solution (1)

Problem 3: The number of pairs (a, b) of real numbers, such that whenever a is a root of the equation x2 + ax + b = 0, a^2 – 2 is also a root of this equation, is :

(1) 8

(2) 4

(3) 6

(4) 2

Solution (3)

Problem 4: Consider the parabola with vertex (½,¾) and the directrix y=½. Let P be the point where the parabola meets the line x=-½. If the normal to the parabola at P intersects the parabola again at the point Q, then (PQ)2 is equal to

(1) 15/2

(2) 125/16

(3) 75/8

(4) 25/2

Solution (2)

Problem 5: All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearing together. The arrangements are listed serially in the alphabetic order as in the English dictionary. Then the serial number of the word FARMER in this list is .

(1) 77

(2) 88

(3) 99

(4)111

Solution (1)