JEE Main 2025 DPP: Daily Practice Questions (24 December 2024) with Answers - Boost Your Preparation

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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 24 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 (24 December 2024)

Problem 1: A student appeared in an examination consisting of 8 true - false type questions. The student guesses the answers with equal probability. The smallest value of n, so that the probability of guessing at least ‘n’ correct answers is less than ½, is

(1) 4

(2) 3

(3) 5

(4) 6

Solution (3)

Problem 2: Two sides of a parallelogram are along the lines 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals of the parallelogram is 11x + 7y = 9, then other diagonal passes through the point

(1) (2, 2)

(2) (2, 1)

(3) (1,3)

(4) (1,2)

Solution (1)

Problem 3: The point P (a, b) undergoes the following three transformations successively :

(a) Reflection about the line y = x.

(b) Translation through 2 units along the positive direction of x-axis.

It the co-ordinates of the final position of the point P are (-1/(2)^½, 7/(2)^½) then the value of 2a + b is equal

(1) 7

(2) 5

(3) 9

(4) 13

Solution (3)

Problem 4: The area of region bounded by y-x=2 and x^2=y is equal to

(1) 2/3

(2) 4/3

(3) 16/3

(4) 9/2

Solution (4)

Problem 5: Let A and B be two 3 × 3 real matrices such that (A2 – B2) is an invertible matrix. If A5 = B5 and A3B2 = A2B3, then the value of the determinant of the matrix A3 + B3 is equal to

(1) 1

(2) 2

(3) 4

(4) 0

Solution (4)

JEE Main Daily Practice Questions: Physics (24 December 2024)

Question 1: A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms–1. What will be the rise in the temperature of the nail if one fourth of energy of the hammer goes into heating the nail?

[Specific heat capacity of iron = 0.42 Jg–1 °C–1]

(A) 675°C

(B) 1600°C

(D) 6.75°C

Answer (C)

Question 2: An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding force of 10 N throughout the motion. The ratio of time of ascent to the time of descent will be equal to [Use g = 10 ms–2].

(A) 1 : 1

(B) (2)^½:(3)^½

(D) 2 : 3

Answer (B)

Question 3: If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)

(A) 10

(B) 20

(D) 40

Answer (B)

Question 4: An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced by the radiations coming from this bulb? Consider this bulb as a point source with 3.5% efficiency.

(A) 1.19 × 10–8T

(B) 1.71 × 10–8T

(D) 3.36 × 10–8T

Answer (B)

Question 5: In Bohr’s atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the electron respectively. Choose the correct option when the electron undergoes transitions to a higher level:

(A) All K, P and E increase

(B) K decreases, P and E increase

(D) K increases, P and E decrease

Answer (B)

JEE Main Daily Practice Questions: Chemistry (24 December 2024)

Question 1: The conversion of propan-1-ol to n-butylamine involves the sequential addition of reagents. The correct sequential order of reagents is

(A) (i) SOCl2 (ii) KCN (iii) H2/Ni, Na(Hg)/C2H5OH

(B) (i) HCl (ii) H2/Ni, Na(Hg)/C2H5OH

(D) (i) HCl (ii) CH3NH2

Answer (A)

Question 2: Hex-4-ene-2-ol on treatment with PCC gives ‘A’ on reaction with sodium hypoiodite gives ‘B’, which on further heating with soda lime gives ‘C’. The compound ‘C’ is

(A) 2-pentene

(B) Proponaldehyde

(D) 4-methylpent-2-ene

Answer (C)

Question 3: Which of the following is not an example of a condensation polymer?

(A) Nylon 6,6

(B) Dacron

(D) Silicone

Answer (C)

Question 4: In the flame test of a mixture of salts, a green flame with blue centre was observed. Which one of the following actions may be present?

(A) Cu2+

(B) Sr2+

(D) Ca2+

Answer (A)

Question 5 : At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is g mol–1. (nearest integer) Assume that the behaviour of gases is ideal.

(Given: The molar mass of hydrogen (H2) gas is 2.0 g mol–1).

(A) 40

(B) 45

(D) 55

Answer (B)

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