JEE Main DPP 3 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 3 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 3 December 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 3 December 2024: DPP for 2025 aspirants

JEE Main DPP 3 December 2024: Physics

Candidates can check out the JEE Main DPP 3 December 2024 daily practice problems for 2025 aspirants from the Physics section: 

Question 1: The maximum and minimum voltage of an amplitude modulated signal are 60 V and 20 V respectively. The percentage modulation index will be:

(A) 0.5%                   

(B) 50%

(C) 2%                      

(D) 30%

Answer (B)

Question 2: A nucleus of mass M at rest splits into two parts having masses M '/3 and 2M '/3 (M ' < M ). The ratio of de Broglie wavelength of two parts will be:

(A) 1 : 2

(B) 2 : 1

(C) 1 : 1

(D) 2 : 3

Answer (C)

Question 3: The amount of heat supplied to a gas in a system is equal to 1000 J, the system in return does 200 J of work on the surrounding. Find charge in internal energy of the gas.

(A) 800J

(B) 1200J

(C) 1400J

(D) 1600J

Answer (A)

Question 4:  Which one of the following statements is not correct in the case of light emitting diodes?

A. It is a heavily doped p-n junction.

B. It emits light only when it is forward biased.

C. It emits light only when it is reverse biased.

D. The energy of the light emitted is equal to or slightly less than the energy gap of the semiconductor used. 

Choose the correct answer from the options given below:

(A) C and D             

(B) C

(C) B             

(D) A

Answer (B)

Question 5: The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is:

(A) 68m

(B) 136m

(C) 272m   

(D) 292m

Answer (C)

JEE Main DPP 3 December 2024: Chemistry

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

Assertion A : LiF is sparingly soluble in water.

Reason R : The ionic radius of Li+ ion is smallest among its group members, hence has least hydration enthalpy

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 (C)

Question 2: Hydrolysis of which compound will give carbolic acid?

(A) Cumene

(B) Benzenediazonium chloride

(C) Benzal chloride

(D) Ethylene glycol ketal

Answer (B)

Question 3: Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Boric acid is a weak acid

Reason (R) : Boric acid is not able to release H+ ion on its own. It receives OH– ion from water and releases H+ ion.

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

(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 4: Vulcanization of rubber is carried out by heating a mixture of

(A) isoprene and styrene

(B) neoprene and sulphur

(C) isoprene and sulphur

(D) neoprene and styrene

Answer (C)

Question 5: Animal starch is the other name of

(A) amylose

(B) maltose

(C) glycogen

(D) amylopectin

Answer (C)

JEE Main DPP  3 December 2024: Mathematics

Candidates can check out the JEE Main DPP 3 December 2024 daily practice problems for 2025 aspirants from Maths section: 

Problem 1: Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2 white balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so drawn is found to be black in colour. Then the probability, that the transferred ball is red, is 

(A) 4/9

(B) 5/18

(C) 1/6

(D) 3/10

Solution (B)

Problem 2: If (2,3, 9) , (5,2,1), (1,a,8), and (a,2, 3) are coplanar, then the product of all possible values of a is

(A) 21/2       

(B) 59/8

(C) 57/8

(D) 95/8

Solution (D)

Problem 3: The sum and product of the mean and variance of a   binomial   distribution   are   82.5   and   1350 respectively. Then the number of trials in the binomial distribution is .

(A) 93

(B) 94

(C) 96

(D) 97

Solution (C)

Problem 4: The number of natural numbers lying between 1012 and 23421 that can be formed using the digits 2, 3, 4, 5, 6 (repetition of digits is not allowed) and divisible by 55 is        .

(A) 2

(B) 4

(C) 6

(D) 8

Solution (C)

Problem 5: The sum of the first 15 terms of an arithmetic progression is 330, and the first term is 5 and the common difference is 3, then the 15 th term is?

(A) 37         

(B) 39

(C) 43

(D) 47

Solution (D)

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