JEE Main Daily Practice Questions 3 January 2025

JEE Main Daily Practice Questions 3 January 2025: 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 3 January  2025, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read |NEET Daily Practice Questions 3 January 2025

JEE Main Daily Practice Questions 3 January 2025: Physics

Candidates can check out the JEE Main daily practice questions 3 January 2025 from the Physics section: 

Question 1: A transverse wave is represented by y = 2sin(wt – kx) cm. The value of wavelength (in cm) for which the wave velocity becomes equal to the maximum particle velocity, will be

(A) 4p                                 

(B) 2p

(C) p                                   

(D) 2

Answer (A)

Question 2: A gas has n degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be

(A) n/(n+2)

(B) (n+2)/n

(C) n/(2n+2)

(D) n/(n-2)

Answer (A)

Question 3: A velocity selector consists of electric field E = Ekˆ and magnetic field B = Bˆj with B = 12 mT. The value of E required for an electron of energy 728 eV moving along the positive x-axis  to pass undeflected is

(Given, mass of electron = 9.1 × 10–31 kg)

(A) 192 kVm–1                  

(B) 192 mVm–1

(C) 9600 kVm–1          

(D) 16 kVm–

Answer (A)

Question 4: Mass numbers of two nuclei are in the ratio of 4 : 3. Their nuclear densities will be in the ratio of

(A) 4 : 3

(B) (¾)^⅓

(C) 1 : 1

(D) 3 : 3

Answer (C)

Question 5: The area of cross section of the rope used to lift a load by a crane is 2.5 × 10–4 m2. The maximum lifting capacity of the crane is 10 metric tons. To increase the lifting capacity of the crane to 25 metric tons, The required area of cross section of the rope should be

(take g = 10 ms–2) 

(A) 6.25 × 10–4 m2

(B) 10 × 10–4 m2

(C) 1 × 10–4 m2

(D) 1.67 × 10–4 m2

Answer (A)

JEE Main Daily Practice Questions 3 January 2025: Chemistry

Candidates can check out the JEE Main daily practice questions 3 January 2025 from the Chemistry section: 

Question 1: The metal complex that is diamagnetic is (Atomic number : Fe, 26; Cu, 29)

(A) K3[Cu(CN)4]          

(B) K2[Cu(CN)4]

(C) K3[Fe(CN)4]          

(D) K4[FeCl6]

Answer (A)

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: 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 4: Animal starch is the other name of

(A)  amylose

(B)  maltose

(C)  glycogen

(D)  amylopectin

Answer (C)

Question 5: Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. 

Assertion A: Phenolphthalein is a pH dependent indicator, remains colourless in acidic solution and gives pink colour in basic medium.

Reason R: Phenolphthalein is a weak acid. It doesn’t dissociate in the basic medium.

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 (C)

JEE Main Daily Practice Questions 3 January 2025: Mathematics

Candidates can check out the JEE Main daily practice questions 3 January 2025 from the Maths section: 

Problem 1: The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 20 seconds at the speed of 432 km/hour, the angle of elevation changes to 30°. If the jet plane is flying at a constant height, then its height is :

(1) 3600(3)^½

(3) 2400(3)^½

(3) 1800(3)^½

(4)1200(3)^½

Solution (4)

Problem 2: If P is a point on the parabola y = x2 + 4 which is closest to the straight line y = 4x – 1, then the co-ordinates of P are :

(1) (–2, 8)                  

(2) (1, 5)

(3) (3, 13)                  

(4) (2, 8)

Solution (4)

Problem 3: The probability that two randomly selected subsets of the set {1, 2, 3, 4, 5} have exactly two elements in their intersection, is :

(1) 65/2^7                  

(3) 135/2^9

(3) 65/2^8              

(4) 35/2^7

Solution (2)

Problem 4: For the system of linear equations :

x – 2y = 1, x – y + kz = –2, ky + 4z = 6, kÎ R, consider the following statements :

(A)   The  system  has a unique  solution: if k is not equal to 2, k is not equal to - 2.

(B)   The system has a unique solution if k = – 2.

(C)   The system has unique solution if k = 2

(D)  The system has no solution if k = 2.

(E)   The system has an infinite number of solutions if k is not equal to– 2.

Which of the following statements are correct?

(1) (A) and (E) only     

(2) (A) and (D) only

(3) (B) and (E) only    

(4) (C) and (D) only

Solution (2)

Problem 5: If the curve y = ax2 + bx + c, passes through the point (1, 2) and the tangent line to this curve at origin is y = x, then the possible values of a, b, c are :

(1) a=½ , b=½, c=1             

(3) a=1, b=0, c=1

(3) a=1, b=1, c=0   

(4) a=-1, b=1, c=1

Solution (3)

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