JEE Main 2025 DPP: Daily Practice Questions (14 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 14 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 (14 January 2025)

Problem 1: A plane P is parallel to two lines whose direction rations are –2, 1, –3 and –1, 2, –2 and it contains the point (2, 2, –2). Let P intersect the co-ordinate axes at the points A, B, C making the intercepts a, b, g. If V is the volume of the tetrahedron OABC, where O is the origin and p = a + b + g, then the ordered pair (V, p) is equal to

(1) (48, –13)

(2) (24, –13)

(3) (48, 11)

(4) (24, –5)

Solution (2)

Problem 2: A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168, then b+3 g is equal to:

(1)   15

(2)  17

(3)  19

(4)  21

Solution (2)

Problem 3: A bag contains 4 white and 6 black balls. Three balls are drawn at random from the bag. Let X be the number of white balls, among the drawn balls. If a^2 is the variance of X, then 100a^2 is equal to

(1) 54

(2) 56

(3) 58

(4) 60

Solution (2)

Problem 4: Choose the incorrect statement about the two circles whose equations are given below :

x2 + y2 – 10x – 10y + 41 = 0 and

x2 + y2 – 16x – 10y + 80 = 0

(1)  Distance between two centres is the average of radii of both the circles

(2)  Circles have two intersection points

(3)  Both circles pass through the centre of the each other

(4)  Both circles¢ centres lie inside region of one another

Solution (4)

Problem 5: The line 2x – y + 1 = 0 is a tangent to the circle at the point (2, 5) and the centre of the circle lies on x – 2y = 4. Then, the radius of the circle is

(1) 3(5)^½

(2) 5(3)^½

(3) 4(5)^½

(4)  5(4)^½

Solution (1)

JEE Main Daily Practice Questions: Physics (14 January 2025)

Question 1: A pressure-pump has a horizontal tube of cross sectional area 10 cm2 for the outflow of water at a speed of 20 m/s. The force exerted on the vertical wall just in front of the tube which stops water horizontally flowing out of the tube, is

[given: density of water = 1000 kg/m3]

(A) 300 N

(B)  500 N

(C)  250 N

(D) 400 N

Answer (D)

Question 2: Assume there are two identical simple pendulum clocks. Clock – 1 is placed on the earth and Clock - 2 is placed on a space station located at a height h above the earth surface. Clock – 1 and Clock – 2 operate at time periods 4 s and 6 s respectively. Then the value of h is-

(consider radius of earth RE = 6400 km and g on earth 10 m/s2)

(A)1200 Km

(B) 1600 Km

(C) 3200 Km

(D) 4800 Km

Answer (C)

Question 3: A vessel contains 14 g of nitrogen gas at a temperature of 27°C. The amount of heat to be transferred to the gas to double the r.m.'s speed of its molecules will be:

Take R = 8.32 J mol–1 K–1.

(A) 2229 J

(B) 5616 J

(C) 9360 J

(D) 13,104 J

Answer (C)

Question 4: Given below are two statements:

Statement I : A uniform wire of resistance 80 ohms is cut into four equal parts. These parts are now connected in parallel. The equivalent resistance of the combination will be 5 ohms.

Statement II : Two resistances 2R and 3R are connected in parallel in an electric circuit. The value of thermal energy developed in 3R and 2R will be in the ratio 3 : 2.

In the light of the above statements, choose the most appropriate answer from the option given below.

(A)   Both statement I and statement II are correct

(B)   Both statement I and statement II are incorrect

(C)   Statement I is correct but statement II is incorrect

(D)   Statement I is incorrect but statement II is correct

Answer (C)

Question 5: The magnetic field at the center of the current carrying circular loop is B1. The magnetic field at a distance of 3 times the radius of the given circular loop from the center on its axis is B2. The value of B1/B2 will be

(A) 9 : 4

(B) 12 :(5)^½

(C) 8:1

(D) 5:(3)^½

Answer (C)

JEE Main Daily Practice Questions: Chemistry (14 January 2025)

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

Assertion A: Zero orbital overlap is an out of phase overlap.

Reason R: It results due to different orientation/direction of approach of orbitals.In the light of the above statements, choose the correct 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 correct decreasing order for metallic character is

(A) Na > Mg > Be > Si > P

(B) P > Si > Be > Mg > Na

(C) Si > P > Be > Na > Mg

(D) Be > Na > Mg > Si > P

Answer (A)

Question 3: Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R

Assertion A: The reduction of a metal oxide is easier if the metal formed is in liquid state than solid state.

Reason R: The value of DGy becomes more on the negative side as entropy is higher in liquid state than solid state.

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 (A)

Question 4: The products obtained during treatment of hard water using Clark’s method are:

(A) CaCO3 and MgCO3

(B) Ca(OH)2 and Mg(OH)2

(C) CaCO3 and Mg(OH)2

(D) Ca(OH)2 and MgCO3

Answer (C)

Question 5: Statement-I: An alloy of lithium and magnesium is used to make aircraft plates.

Statement-II: T he magnesium ions are important for cell-membrane integrity.

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 (B)

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