JEE Main 2025 DPP: Daily Practice Questions (27 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 27 December 2024, featuring five questions each from Mathematics, Physics, and Chemistry, along with answers. These will help improve problem-solving speed and accuracy.

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JEE Main Daily Practice Questions: Mathematics (27 December 2024)

Problem 1: If the fourth term in the expansion of (x + xlog2 x )7 is 4480, then the value of x where x Î N is

(1) 2

(2) 1

(3) 3

(4) 4

Solution (1)

Problem 2: The system of equations kx + y + z = 1, x + ky +z = k and x + y + zk = k2 has no solution equal to :

(1) 0

(2) 1

(3) -1

(4) -2

Solution (4)

Problem 3: The equation of the plane which contains the y-axis and passes through the point (1, 2, 3) is :

(1) 3x + z = 6

(2) x + 3x = 0

(3) 3x – z = 0

(4) x + 3z = 10

Solution (3)

Problem 4: Two dice are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of the numbers on the top faces is less than or equal to 8 is :

(1) 17/36

(2) 1/2

(3) 4/9

(4) 5/12

Solution (1)

Problem 5: Team ‘A’ consists of 7 boys and n girls and Team ‘B’ has 4 boys and 6 girls. If a total of 52 single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl, then n is equal to

(1) 5

(2) 6

(3) 2

(4) 4

Solution (4)

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JEE Main Daily Practice Questions: Physics (27 December 2024)

Question 1: In Young's double slit experiment, the fringe width is 12 mm. If the entire arrangement is placed in water of refractive index 4/3 , then the fringe width becomes (in mm)

(A) 16

(B) 9

(C) 48

(D) 12

Answer (C)

Question 2: A charge particle is moving in a uniform field (2iˆ + 3 jˆ)T . If it has an acceleration of (aiˆ – 4 ˆj )m/s2 , then the value of a will be

(A) 3

(B) 6

(C) 12

D) 2

Answer (B)

Question 3: The magnetic field of a plane electromagnetic wave is given by B = 2 ´10–8 sin(0.5 ´103 x + 1.5 ´1011t ) jˆT . The amplitude of the electric field would be

(A) 6 Vm–1 along x-axis

(B)  3 Vm–1 along z-axis

(C) 6 Vm–1 along z-axis

(D) 2 × 10–8 Vm–1 along z-axis

Answer (C)

Question 4: BX and BY are the magnetic field at the centre of two coils X and Y respectively each carrying equal current. If coil X has 200 turns and 20 cm radius and coil Y has 400 turns and 20 cm radius, the ratio of BX and BY is

(A) 1 : 1

(B) 1 : 2

(C) 2 : 1

(D) 4 : 1

Answer (B)

Question 5: When a particle executes Simple Harmonic Motion, the nature of graph of velocity as a function of displacement will be :

(A) Circular

(B) Elliptical

(C) Sinusoidal

(D) Straight line

Answer (B)

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JEE Main Daily Practice Questions: Chemistry (27 December 2024)

Question 1: Borazine, also known as inorganic benzene, can be prepared by the reaction of 3-equivalents of “X” with 6-equivalents of “Y”. “X” and “Y”, respectively are:

(A)  B(OH)3 and NH3

(B)  B2H6 and NH3

(C)  B2H6 and HN3

(D)  NH3 and B2O3

Answer (B)

Question 2: Which technique among the following, is most appropriate in separation of a mixture of 100 mg of p-nitrophenol and picric acid?

(A) Steam distillation

(B) 2-5 ft long column of silica gel

(C) Sublimation

(D) Preparative TLC (Thin Layer Chromatography)

Answer (D)

Question 3: The difference in the reaction of phenol with bromine in chloroform and bromine in water medium is due to:

(A)  Hyperconjugation in substrate

(B)  Polarity of solvent

(C)  Free radical formation

(D) Electromeric effect of substrate

Answer (B)

Question 4: Stearic acid and polyethylene glycol react to form which one of the following soap/s detergents?

(A) Cationic detergent

(B) Soap

(C) Anionic detergent

(D) Non-ionic detergent

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) : Experimental reaction of CH3Cl with aniline and anhydrous AlCl3 does not give o and p-methylaniline.

Reason (R) : The –NH2 group of aniline becomes deactivating because of salt formation with anhydrous AlCl3 and hence yields m-methyl aniline as the product.

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

(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)

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