JEE Main 2025 DPP: Daily Practice Questions (10 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 10 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 (10 January 2025)

Problem 1: The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is   .

(1) 500

(2) 700

(3) 900

(4) 1000

Solution (4)

Problem 2: Let L be a common tangent line to the curves 4x2 + 9y2 = 36 and (2x)2 + (2y)2 = 31. Then the square of the slope of the line L is         .

(1)   1

(2) 2

(3)  3

(4)  4

Solution (3)

Problem 3: If the arithmetic mean and geometric mean of the pth and qth terms of the sequence –16, 8, –4, 2,  satisfy the equation 4x2 – 9x + 5 =0, then p + q is equal to             .

(1) 6

(2) 8

(3) 10

(4) 12

Solution (3)

Problem 4: 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)

Problem 5: Consider the following system of equations :

x + 2y – 3z = a

2x + 6y – 11z = b

x – 2y + 7z = c,

where a, b and c are real constants. Then the system of equations :

(1)   has infinite number of solutions when 5a = 2b + c

(2)   has no solution for all a, b and c

(3)   has a unique solution when 5a = 2b + c

(4)   has a unique solution for all a, b and c

Solution (1)

JEE Main Daily Practice Questions: Physics (10 January 2025)

Question 1: (A) The drift velocity of electrons decreases with the increase in the temperature of the conductor.

(B)  The drift velocity is inversely proportional to the area of cross-section of the given conductor.

(C)  The drift velocity does not depend on the applied potential difference to the conductor.

(D) The drift velocity of electrons is inversely proportional to the length of the conductor.

(E) The drift velocity increases with the increase in the temperature of the conductor.

Choose the correct answer from the options given below

(A)  (A) and (B) only

(B) (A) and (D) only

(C) (B) and (E) only

(D) (B) and (C) only

Answer (C)

Question 2: A compass needle or oscillation magnetometer oscillates 20 times per minute at a place P of dip 30°. The number of oscillations per minute becomes 10 at another place Q of 60° dip. The ratio of the total magnetic field at the two places (BQ : BP) is

(A)  (3)^1/2:4

(B)  4:(3)^2

(C)  (3)^1/2:2

(D)  2:(3)^2

Answer (A)

Question 3: Identify the correct statements from the following descriptions of various properties of electromagnetic waves.

(A) In a plane electromagnetic wave electric field and magnetic field must be perpendicular to each other and direction of propagation of wave should be along electric field or magnetic field.

(B) The energy in electromagnetic waves is divided equally between electric and magnetic fields.

(C) Both electric field and magnetic field are parallel to each other and perpendicular to the direction of propagation of waves.

(D) The electric field, magnetic field and direction of propagation of waves must be perpendicular to each other.

(E) The ratio of amplitude of magnetic field to the amplitude of electric field is equal to speed of light.

Choose the most appropriate answer from the options given below

(A)  (D) only

(B)  (B) and (D) only

(C)  (B), (C) and (E) only

(D) (A), (B) and (E) only

Answer (B)

Question 4: A cyclotron is used to accelerate protons. If the operating magnetic field is 1.0 T and the radius of the cyclotron ‘dees’ is 60 cm, the kinetic energy of the accelerated protons in MeV will be

[Use mp = 1.6 × 10–27 kg, e = 1.6 × 10–19 C]

(A) 12

(B) 18

(C) 16

(D) 32

Answer (B)

Question 5: With reference to the observations in photo-electric effect, identify the correct statements from below:

(A) The square of maximum velocity of photoelectrons varies linearly with frequency of incident light.

(B)  The value of saturation current increases on moving the source of light away from the metal surface.

(C) The maximum kinetic energy of photo- electrons decreases on decreasing the power of LED (Light emitting diode) source of light.

(D) The immediate emission of photo-electrons out of metal surfaces can not be explained by the particle nature of light/electromagnetic waves.

(E) Existence of threshold wavelength can not be explained by the wave nature of light/electromagnetic waves.

Choose the correct answer from the options given below.

(A)  (A) and (B) only

(B)  (A) and (E) only

(C)  (C) and (E) only

(D) (D) and (E) only

Answer (B)

JEE Main Daily Practice Questions: Chemistry (10 January 2025)

Question 1: Low oxidation state of metals in their complexes are common when ligands :

(A) Have good p-accepting character

(B) Have good s-donor character

(C) Are having good p-donating ability

(D) Are having poor s-donating ability

Answer (A)

Question 2: Which of the following enhances the lathering property of soap?

(A) Sodium stearate

(B) Sodium carbonate

(C) Sodium rosinate

(D) Trisodium phosphate

Answer (C)

Question 3: Given below are two statements.

Statement I : The non bio-degradable fly ash and slag from steel used by the cement industry.

Statement-II : The fuel obtained from plastic waste is lead free.

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 (A)

Question 4: Fe3+ cation gives a Prussian blue precipitate on addition of potassium ferrocyanide solution due to the formation of:

(A) [Fe(H2O)6]2 [Fe(CN)6]

(B) Fe2[Fe(CN)6]2

(C) Fe3[Fe(OH)2 (CN)4]2

(D) Fe4[Fe(CN)6]3

Answer (D)

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

Assertion (A) : Boron is unable to form BF3

Reason (R) : Size of B is very small

In the light of the above statements, choose the correct 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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