JEE Main DPP 25 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 25 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 25 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 25 December 2024: DPP for 2025 aspirants

JEE Main DPP 25 December 2024: Physics

Candidates can check out the JEE Main DPP 25 December 2024 daily practice problems for 2025 aspirants from the Physics section: 

Question 1: The relation between time t and distance x for a moving body is given as t = mx2 + nx, where m and n are constants. The retardation of the motion is: (Where v stands for velocity)

(1)  2 nv3                   

(2) 2 mv3

(3) 2 mnv3                 

(4) 2 n2v3

Answer (2)

Question 2: When radiation of wavelength l is incident on a metallic surface, the stopping potential of ejected photoelectrons is 4.8 V. If the same surface is illuminated by radiation of double the previous wavelength, then the stopping potential becomes 1.6 V. The threshold wavelength of the metal is

(1) 6 l                                 

(2) 4 l

(3) 8I

(4) 2I

Answer (2)

Question 3: A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the ground was around

(takes the value of g as 10 m/s2)

(1) 250 m                  

(2) 125 m

(3) 300 m                  

(4) 200 m

Answer (2)

Question 4: Two ions having the same mass have charges in the ratio 1 : 2. They are projected normally in a uniform magnetic field with their speeds in the ratio 2 : 3. The ratio of the radii of their circular trajectories is

(1) 2 : 3                    

(2) 3 : 1

(3) 1 : 4                    

(4) 4 : 3

Answer (4)

Question 5: A heat engine has an efficiency of 1/6 . When the temperature of the sink is reduced by 62°C, its efficiency doubles. The temperature of the source is

(1) 37°C                    

(2) 99°C

(3) 124°C                  

(4) 62°C

Answer (2)

JEE Main DPP 25 December 2024: Chemistry

Candidates can check out the JEE Main DPP 25 December  2024 daily practice problems for 2025 aspirants from the Chemistry section: 

Question 1: Given below are two statements :

Statement I : Chlorofluoro carbons break down by radiation in the visible energy region and release chlorine gas in the atmosphere which then reacts with stratospheric ozone.

Statement II : Atmospheric ozone reacts with nitric oxide to give nitrogen and oxygen gases, which add to the atmosphere.

For the above statements choose the correct answer from the options given below :

(1)  Statement I is incorrect but statement II is true

(2)  Statement I is correct but statement II is false

(3)  Both statement I and II are correct

(4)  Both statement I and II are false

Answer (4)

Question 2: The ionic radii of F– and O2– respectively are 1.33 Å and 1.4 Å, while the covalent radius of N is 0.74 Å. The correct statement for the ionic radius of N3– from the following is :

(1)  It is smaller than O2– and F–, but bigger than of N

(2)  It is bigger than F– and N, but smaller than of O2–

(3)  It is bigger than O2– and F–

(4) It is smaller than F– and N

Answer (3)

Question 3: A biodegradable polyamide can be made from :

(1) Glycine and isoprene

(2) Glycine and aminocaproic acid

(3) Styrene and caproic acid

(4) Hexamethylene diamine and adipic acid

Answer (2)

Question 4:  A reaction of benzonitrile with one equivalent CH3MgBr followed by hydrolysis produces a yellow liquid “P”. The compound “P” will give positive         .

(1) Tollens test         

(2) Schiff’s test

(3) Ninhydrin’s test    

(4) Iodoform test

Answer (4)

Question 5: 0.8 g of an organic compound was analysed by Kjeldahl’s method for the estimation of nitrogen. If the percentage of nitrogen in the compound was found to be 42%, then  _____ mL of 1 M H2SO4 would have been neutralized by the ammonia evolved during the analysis.

(1)  10

(2)  12

(3)  14

(4)  16

Answer (2)

JEE Main DPP 25 December 2024: Mathematics

Candidates can check out the JEE Main DPP 25 December 2024 daily practice problems for 2025 aspirants from Maths section: 

Problem 1: Let C be the locus of the mirror image of a point on the parabola y2 = 4x with respect to the line y = x. Then the equation of tangent to C at P(2, 1) is :

(1)  x + 2y = 4           

(2) 2x + y = 5

(3) x – y = 1             

(4) x + 3y = 5

Solution (3)

Problem 2: Let A = {2, 3, 4, 5, ..., 30} and ' ≃ '  be an equivalence relation on A × A, defined by (a, b) ≃ (c, d) , if and only if ad = bc. Then the number of ordered pairs which satisfy this equivalence relation with ordered pair (4, 3) is equal to :

(1) 7                         

(2) 8

(3) 5                         

(4) 6

Solution (1)

Problem 3: Let A(–1, 1), B(3, 4) and C(2, 0) be given three points. A line y = mx, m > 0, intersects lines AC and BC at point P and Q respectively. Let A1 and A2 be the areas of DABC and DPQC respectively, such that A1 = 3A2, then the value of m is equal to :

(1) 2                         

(2) 3

(3) 4/15

(4) 1

Solution (4)

Problem 4: Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4, 5, 6 without repetitions, be divisible by 3. Then probability of even A is equal to:

(1) 9/56

(2) 11/27

(3) 3/7

(4) 4/9

Solution (4)

Problem 5: In DABC, the lengths of sides AC and AB are 12 cm and 5 cm, respectively. If the area of DABC is 30 cm2 and R and r are respectively the radii of circumcircle and incircle of DABC, then the value of 2R + r (in cm) is equal to             .

(1) 10

(2) 15

(3) 20

(4) 25

Solution (2)

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