JEE Main DPP 27 November 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 27 November 2024

JEE Main DPP 27 November 2024: JEE Main Session 1 2025 will take place from January 22 to 31. Applicants preparing for the exam must focus on practising the JEE Main sample papers. Hence, here are some daily practice questions with answers for JEE Main DPP 27 November 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

JEE Main DPP 27 November 2024: Physics

Candidates can check out the JEE Main DPP 27 November 2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: In AM modulation, a signal is modulated on a carrier wave such that maximum and minimum amplitudes are found to be 6 V and 2 V respectively. The modulation index is

(A) 100%

(B) 80%

(C) 60%

(D) 50%

Answer (D)

Question 2: The electric current in a circular coil of 2 turns produces a magnetic induction B1 at its centre. The coil is unwound and is rewound into a circular coil of 5 turns and the same current produces a magnetic induction B2 at its centre. The ratio of B2/B1 is

(A) 5/2

(B) 25/4

(C) 5/4

(D) 25/2

Answer (B)

Question 3: Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms–1 collide and rebound with the same speed. If the time duration of contact is t = 0.005 s, then what is the force exerted on the ball due to each other?

(A) 100 N

(B) 200 N

(C) 300 N

(D) 400 N

Answer (B)

Question 4: For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at a distance 12 cm from the lens. A glass plate of refractive index 1.5 and thickness 1 cm is introduced between lens and screen such that the glass plate plane faces parallel to the screen. By what distance should the object be shifted so that a sharp focused image is observed again on the screen?

(A) 0.8 m

(B) 3.2 m

(C) 1.2 m

(D) 5.6 m

Answer (B)

Question 5: When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on:

(A) Electromagnetic induction

(B) Resonance in ac circuits

(C) Mutual induction in ac circuits

(D)  Interference of electromagnetic waves

Answer (B)

JEE Main DPP 27 November 2024: Chemistry

Candidates can check out the JEE Main DPP  27 November 2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: Two solutions A and B are prepared by dissolving 1 g of non-volatile solutes X and Y, respectively in 1 kg of water. The ratio of depression in freezing points for A and B is found to be 1 : 4. The ratio of molar masses of X and Y is

(A) 1: 4

(B) 1: 0.25

(C) 1: 0.20

(D) 1: 5

Answer (B)

Question 2: The first ionization enthalpies of Be, B, N and O follow the order

(A)  O < N < B < Be

(B) Be < B < N < O

(C) B < Be < N < O

(D) B < Be < O < N

Answer (D)

Question 3: For micelle formation, which of the following statements are correct?

A. Micelle formation is an exothermic process.

B. Micelle formation is an endothermic process.

C. The entropy change is positive

D. The entropy change is negative

(A) A and D only

(B) A and C only

(C) B and C only

(D) B and D only

Answer (C)

Question 4: High purity (>99.95%) dihydrogen is obtained by

(A) Reaction of zinc with aqueous alkali

(B) Electrolysis of acidified water using platinum electrodes

(C) Electrolysis of warm aqueous barium hydroxide solution between nickel electrodes

(D) Reaction of zinc with dilute acid

Answer (C)

Question 5: Given below are two statements:

Statement I: Pig iron is obtained by heating cast iron with scrap iron.

Statement II: Pig iron has a relatively lower carbon content than that of cast iron.

(A) Both Statement I and Statement II are correct.

(C) 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 (B)

JEE Main DPP 27 November 2024: Mathematics

Candidates can check out the JEE Main DPP 27 November 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: The remainder when (2021)^2022+ (2022)^2021 is divided by 7 is

(A) 0

(B) 1

(C) 2

(D) 6

Solution (A)

Problem 2: Suppose a1, a2, … an, … be an arithmetic progression of natural numbers. If the ratio of the sum of first five terms to the sum of first nine terms of the progression is 5 : 17 and 110 < a15 < 120, then the sum of the first ten terms of the progression is equal to

(A) 290

(B) 380

(C) 460

(D) 510

Solution (B)

Problem 3: Let P(a, b) be a point on the parabola y2 = 8x such that the tangent at P passes through the centre of the circle x^2 + y^2 – 10x – 14y + 65 = 0. Let A be the product of all possible values of a and B be the product of all possible values of b. Then the value of A + B is equal to

(A) 0

(B) 25

(C) 40

(D) 65

Solution (D)

Problem 4: Let S be the sample space of all five digit numbers. It p is the probability that a randomly selected number from S, is multiple of 7 but not divisible by 5, then 9p is equal to

(A) 1.0146

(B) 1.2085

(C) 1.0285

(D) 1.1521

Solution (C)

Problem 5: If the plane P passes through the intersection of two mutually perpendicular planes 2x + ky – 5z = 1 and 3kx – ky + z = 5, k < 3 and intercepts a unit length on positive x-axis, then the intercept made by the plane P on the y-axis is

(A) 1/11

(B) 5/11

(C) 6

(D) 7

Solution (A)