JEE Main 2025 DPP: Daily Practice Questions (30 December 2024) with Answers - Boost Your Preparation

JEE Main Session 1 2025 is scheduled from January 22 to 31. To excel, applicants should practice JEE Main sample papers regularly.

Here are daily practice questions for JEE Main DPP on 30 December 2024, 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 (30 December 2024)

Problem 1: A vector a. has components 3p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system, a. has components p + 1 and (10)^½, then a value of p is equal to

(1) -1

(2) 1

(3) 4/5

(4) -5/4

Solution (1)

Problem 2: If a, b, are natural numbers such that 100a – 199b= (100)(100)+(99)(101)+(98)(102)+........... +(1)(199),then the slope of the line passing through (a, b) and origin is:

(1) 550

(2) 530

(3) 540

(4) 510

Solution (1)

Problem 3: The sum of all the 4-digit distinct numbers that can be formed with the digits 1, 2, 2 and 3 is :

(1) 122234

(2) 122664

(3) 22264

(4) 26664

Solution (4)

Problem 4: A square ABCD has all its vertices on the curve x2y2 = 1. The midpoints of its sides also lie on the same curve. Then, the square of area of ABCD is         .

(1) 20

(2) 40

(3) 60

(4) 80

Solution (4)

Problem 5: The number of times the digit 3 will be written when listing the integers from 1 to 1000 is   .

(1) 100

(2) 200

(3) 300

(4) 400

Solution (3)

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JEE Main Daily Practice Questions: Physics (30 December 2024)

Question 1: If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is:

(1) 43.2 s

(2) 4.32 s

(3) 86.4 s

(4) 8.64 s

Answer (1)

Question 2: A refrigerator consumes an average 35 W power to operate   between   temperature   –10°C   to   25°C. If there is no loss of energy then how much average heat per second does it transfer?

(1) 263 J/s

(2) 350 J/s

(3) 298 J/s

(4) 35 J/s

Answer (1)

Question 3: If you are provided a set of resistances 2 ohms, 4 ohms, 6 ohms and 8 ohms. Connect these resistances so as to obtain an equivalent resistance of 46/3 ohms

(1) 2 ohms and 6 ohms  are in parallel with 4 W and 8 W in series

(2) 4 ohms and 6 ohms  are in parallel with 2 ohms and 8 ohms in series

(3) 6 ohms and 8 ohms are in parallel with 2ohms and 4 ohms in series

(4) 2 ohms and 4 ohms are in parallel with 6 ohms and 8 ohms in series

Answer (4)

Question 4: The temperature of equal masses of three different liquids x, y and z are 10°C, 20°C and 30°C respectively. The temperature of mixture when x is mixed with y is 16°C and that when y is mixed with z is 26°C. The temperature of mixture when x and z are mixed will be:

(1) 25.62°C

(2) 28.32°C

(3) 23.84°C

(4) 20.28°C

Answer (3)

Question 5: A transmitting antenna at top of a tower has a height of 50 m and the height of the receiving antenna is 80 m. What is the range of communication for Line of Sight (LoS) mode?

[use radius of earth = 6400 km]

(1) 45.5 km

(2) 80.2 km

(3) 57.28 km

(4) 144.1 km

Answer (3)

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JEE Main Daily Practice Questions: Chemistry (30 December 2024)

Question 1: Arrange the following cobalt complexes in the order of increasing Crystal Field Stabilisation Energy (CFSE) value.

Complexes :

A.  [CoF6]3–

B.  [Co(H2O)6]2+

C.  [Co(NH3)6]3+

D.  [Co(en)3]3+

Choose the correct option :

(1) C < D < B < A

(2) B < C < D < A

(3) A < B < C < D

(4) B < A < C < D

Answer (4)

Question 2: The bond order and magnetic behaviour of are, respectively:

(1)  1.5 and diamagnetic.

(2)  1.5 and paramagnetic.

(3)  1 and paramagnetic.

(4)  2 and diamagnetic.

Answer (2)

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

Assertion (A) : Barium carbonate is insoluble in water and is highly stable.

Reason (R) : The thermal stability of the carbonates increases with increasing cationic size.

Choose the most appropriate answer from the options given below:

(1) Both (A) and (R) are true but (R) is not the true explanation of (A)

(2) (A) is false but (R) is true.

(3) (A) is true but (R) is false.

(4) Both (A) and (R) are true and (R) is the true explanation of (A).

Answer (4)

Question 4: The sol given below with negatively charged colloidal particles is :

(1)  KI added to AgNO3 solution

(2)  AgNO3 added to KI solution

(3)  Al2O3 × xH2O in water

(4)  FeCl3 added to hot water

Answer (2)

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

Assertion (A) : Heavy water is used for the study of reaction mechanism.

Reason (R) : The rate of reaction for the cleavage of O – H bond is slower than that of O – D bond.

Choose the most appropriate answer from the options given below:

(1)  (A) is true but (R) is false.

(2)  Both (A) and (R) are true and (R) is the true explanation of (A).

(3) Both (A) and (R) are true but (R) is not the true explanation of (A)

(4) (A) is false but (R) is true

Answer (1)

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