JEE Main DPP 8 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 8 December 2024

JEE Main DPP 8 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 8 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

JEE Main DPP 8 December 2024: Physics

Candidates can check out the JEE Main DPP 8 December 2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is 1 : 4, then

A. The r.m.s velocity of gas molecules in two vessels will be the same.

B. The ratio of pressure in these vessels will be 1 : 4.

C. The ratio of pressure will be 1 : 1.

D. The r.m.s.velocity of gas molecules in two vessels will be in the ratio of 1 : 4.

Choose the correct answer from the options given below

(A) A and C only

(B) B and D only

(C) A and B only

(D) C and D only

Answer (C)

Question 2: Two bar magnets oscillate in a horizontal plane in earth’s magnetic field with time periods of 3 s and 4 s respectively. If their moments of inertia are in the ratio of 3 : 2, then the ratio of their magnetic moments will be :

(A) 2 : 1

(B) 8 : 3

(C) 1 : 3

(D) 27 : 16

Answer (B)

Question 3: A direct current of 4 A and an alternating current of peak value 4 A flow through resistance of 3 ohms and 2 ohms respectively. The ratio of heat produced in the two resistances in same interval of time will be :

(A) 3 : 2

(B) 3 : 1

(C) 3 : 4

(D) 4 : 3

Answer (B)

Question 4: What is the half-life period of a radioactive material if its activity drops to 1/16 th of its initial value in 30 years?

(A) 9.5 years

(B) 8.5 years

(C) 7.5 years

(D) 10.5 years

Answer (C)

Question 5: At a particular station, the TV transmission tower has a height of 100 m. To triple its coverage range, height of the tower should be increased to

(A) 200 m

(B) 300 m

(C) 600 m

(D) 900 m

Answer (D)

JEE Main DPP 8 December 2024: Chemistry

Question 1: Which of the following methods are not used to refine any metal?

A.  Liquation

B.  Calcination

C.  Electrolysis

D. Leaching

E. Distillation

Choose the correct answer from the options given below :

(A) B and D only

(B) A, B, D and E only

(C) B, D and E only

(D) A, C and E only

Answer (A)

Question 2 : Given below are two statements.

Statement I : Hydrogen peroxide can act as an oxidizing agent in both acidic and basic conditions.

Statement II : Density of hydrogen peroxide at 298 K is lower than that of D2O.

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

(A) Both Statement I and Statement II are true

(B) Both Statement I and Statement II are false

(C) Statement I is true but Statement II is false

(D) Statement I is false but Statement II is true

Answer (C)

Question 3: Which oxoacid of phosphorus has the highest number of oxygen atoms present in its chemical formula?

(A) Pyrophosphorus acid

(B) Hypophosphoric acid

(C) Phosphoric acid

(D) Pyrophosphoric acid

Answer (D)

Question 4: Given below are two statements.

Statement I : The chlorides of Be and Al have Cl-bridged structure. Both are soluble in organic solvents and act as Lewis bases.

Statement II : Hydroxides of Be and Al dissolve in excess alkali to give beryllate and aluminate ions.

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

(A) Both Statement I and Statement II are true

(B) Both Statement I and Statement II are false

(C) Statement I is true but Statement II is false

(D) Statement I is false but Statement II is true

Answer (D)

Question 5: A sugar ‘X’ dehydrates very slowly under acidic conditions to give furfural which on further reaction with resorcinol gives the coloured product after some time. Sugar ‘X’ is

(A)  Aldopentose

(B)  Aldotetrose

(C)  Oxalic acid

(D)  Ketotetrose

Answer (A)

JEE Main DPP 8 December 2024: Mathematics

Candidates can check out the JEE Main DPP 8 December  2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: Let x, y > 0. If x^3y^2 = 2^15, then the least value of 3x+ 2y is

(A) 30

(B) 32

(C) 36

(D) 40

Solution (D)

Problem 2: A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at the point P meets the x-axis at Q. If the y-axis bisects the segment PQ, then C is a parabola with

(A) Length of latus rectum 3

(B) Length of latus rectum 6

(C) focus (4/3,0)

(D) focus (0, 4/3)

Solution (A)

Problem 3: The number of distinct real roots of the equation x^7-7x-2=0 is

(A) 5

(B) 7

(C) 1

(D) 3

Solution (D)

Problem 4: A random variable X has the following probability distribution :

The value of P(1 < X < 4 | x <= 2) is equal to

(A) 4/7

(B) 2/3

(C) 3/7

(D) 4/5

Solution (A)

Problem 5: The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9 is .

(A) 376

(B) 676

(C) 476

(D) 576

Solution (D)