JEE Main 2025 DPP: Daily Practice Questions (02 January 2025) with Answers - Boost Your Preparation

JEE Main Session 1 2025 is scheduled from January 22 to 30. To excel, applicants should practice JEE Main sample papers regularly.

Here are daily practice questions for JEE Main DPP on 02 January 2025, featuring five questions each from Mathematics, Physics, and Chemistry, along with answers. These will help improve problem-solving speed and accuracy.

JEE Main Daily Practice Questions: Mathematics (02 January 2024)

Problem 1: Let p and q be two positive numbers such that p + q = 2 and p4 + q4 = 272. Then p and q are roots of the equation :

(1) x2 – 2x + 2 = 0

(2) x2 – 2x + 8 = 0

(3) x2 – 2x + 136 = 0

(4) x2 – 2x + 16 = 0

Solution (4)

Problem 2: The system of linear equations

3x – 2y –   kz = 10

2x – 4y – 2z = 6

x + 2y – z = 5m

is inconsistent if :

(1) k is not equal to 3, m is not equal to 4/5

(2) k is not equal to 3

(3) k is equal to 3, m is equal to 4/5

(4) k is equal to 3, m is not equal to 4/5

Solution (4)

Problem 3: A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is :

(1) 560

(2) 1050

(3) 1625

(4) 575

Solution (3)

Problem 4: The equation of the plane passing through the point (1, 2, –3) and perpendicular to the planes 3x + y – 2z = 5 and 2x – 5y – z = 7, is:

(1) 3x – 10y – 2z + 11 = 0

(2) 6x – 5y – 2z – 2 = 0

(3) 6x – 5y + 2z + 10 = 0

(4) 11x + y + 17z + 38 = 0

Solution (4)

Problem 5: An ordinary dice is rolled a certain number of times. If the probability of getting an odd number 2 times is equal to the probability of getting an even number 3 times, then the probability of getting an odd number for odd number of times is :

(1) 3/16

(2) 1/2

(3) 1/32

(4) 5/16

Solution (2)

JEE Main Daily Practice Questions: Physics (02 January 2024)

Question 1: A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape velocity. The maximum height attained by the body will be:

(Take radius of earth = 6400 km and g = 10 ms–2)

(A) 800 km

(B) 1600 km

(C) 2133 km

(D) 4800 km

Answer (A)

Question 2: The oscillating magnetic field in a plane electromagnetic wave is given by By = 5 × 10–6 sin1000p(5x – 4 × 108t)T.

The amplitude of electric field will be:

(A) 15 × 102 Vm–1

(B) 5 × 10–6 Vm–1

(C) 16 × 1012Vm–1

(D) 4 × 102Vm–1

Answer (D)

Question 3: 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 4: 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 5: An ice cube of dimensions 60 cm × 50 cm × 20 cm is placed in an insulation box of wall thickness 1 cm. The box keeping the ice cube at 0°C of temperature is brought to a room of temperature 40°C. The rate of melting of ice is approximately.

(Latent heat of fusion of ice is 3.4 × 105 J kg–1 and thermal conducting of insulation wall is 0.05 Wm–1°C–1)

(A) 61 × 10–3 kg s–1

(B) 61 × 10–5 kg s–1

(C) 208 kg s–1

(D) 30 × 10–5 kg s–1

Answer (B)

JEE Main Daily Practice Questions: Chemistry (02 January 2024)

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

Assertion A : Finest gold is red in colour, as the size of the particles increases, it appears purple then blue and finally gold.

Reason R : The colour of the colloidal solution depends on the wavelength of light scattered by the dispersed particles.

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 (A)

Question 2: The metal that is not extracted from its sulfide ore is

(A) Aluminium

(B) Iron

(C) Lead

(D) Zinc

Answer (A)

Question 3: The products obtained from a reaction of hydrogen peroxide and acidified potassium permanganate are

(A)  Mn4+, H2O only

(B)  Mn2+, H2O only

(C) Mn4+, H2O, O2 only

(D) Mn2+, H2O, O2 only

Answer (D)

Question 4: 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 5: 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– ions 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 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 (B)

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