JEE Main DPP 20 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 20 December 2024

JEE Main DPP 20 December 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 20 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 20 December 2024: DPP for 2025 aspirants

JEE Main DPP 20 December 2024: Physics

Candidates can check out the JEE Main DPP 20 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: Identify the pair of physical quantities that have same dimensions :

(A) velocity gradient and decay constant

(B) Wien's constant and Stefan constant

(C) angular frequency and angular momentum

(D) wave number and Avogadro number

Answer (A)

Question 2: The distance between the Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :

(A) (3)^½ years

(B) 3 years

(C) 9 years

(D) 3 (3)^½ years

Answer (D)

Question 3: A stone of mass m tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is

(A)  the same throughout the motion.

(B)  minimum at the highest position of the circular path.

(C)  minimum at the lowest position of the circular path.

(D)  minimum when the rope is in the horizontal position.

Answer (B)

Question 4: Two identical charged particles each having a mass 10 g and charge 2.0 × 10–7 C are placed on a horizontal table with a separation of L between them such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use g = 10 ms–2]

(A) 12 cm

(B) 10 cm

(C) 8 cm

(D) 5 cm

Answer (A)

Question 5: A Carnot engine takes 5000 kcal of heat from a reservoir at 727°C and gives heat to a sink at 127°C. The work done by the engine is

(A) 3 × 106 J

(B) Zero

(A) 12.6 × 106 J

(D) 8.4 × 106 J

Answer (C)

JEE Main DPP 20 December 2024: Chemistry

Candidates can check out the JEE Main DPP 20 December  2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: 120 g of an organic compound that contains only carbon and hydrogen gives 330 g of CO2 and 270 g of water on complete combustion. The percentage of carbon and hydrogen, respectively are

(A) 25 and 75

(B) 40 and 60

(C) 60 and 40

(D) 75 and 25

Answer (D)

Question 2: The energy of one mole of photons of radiation of wavelength 300 nm is (Given h = 6.63 × 10–34Js, NA = 6.02 × 1023 mol–1, c = 3 × 108 ms–1)

(A)  235 kJ mol–1

(B) 325 kJ mol–1

(C) -86.0 kJ mol–1

(B) +97.0kJ mol–1

Answer (C)

Question 3: For a first order reaction, the time required for completion of 90% reaction is ‘x’ times the half life of the reaction. The value of ‘x’ is (Given: In 10 = 2.303 and log 2 = 0.3010)

(A) 1.12

(B) 2.43

(C) 3.32

(D) 33.31

Answer (C)

Question 4: Metals generally melt at very high temperatures. Amongst the following, the metal with the highest melting point will be

(1)  Hg

(2) Ag

(3) Ga

(4) Cs

Answer (B)

Question 5: In the industrial production of which of the following, molecular hydrogen is obtained as a byproduct?

(1)   NaOH

(2)   NaCl

(3)   Na metal

(4)   Na2CO3

Answer (A)

JEE Main DPP 20 December 2024: Mathematics

Candidates can check out the JEE Main DPP 20 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: The number of real solutions of the equation, x2 – |x| – 12 = 0 is

(1) 4

(2) 2

(3) 1

(4) 3

Solution (2)

Problem 2: Let the equation of the pair of lines, y = px and y = qx, can be written as (y – px)(y – qx) = 0. Then the equation of the pair of the angle bisectors of the lines x2 – 4xy – 5y2 = 0 is

(1)   x2 – 3xy + y2 = 0

(2)   x2 + 3xy – y2 = 0

(3)   x2 – 3xy – y2 = 0

(4)   x2 + 4xy – y2 = 0

Solution (2)

Problem 3: Let X be a random variable such that the probability function of a distribution is given by P(X = 0) = 1/2, P(X = j) =⅓^j ( j = 1, 2, 3,.... ..).Then the mean of the distribution P (X is positive and even respectively are)

(1) ¾ and 1/9

(2) ¾ and 1/16

(3) ¾ and 1/8

(4) ⅜ and 1/8

Solution (3)

Problem 4: The sum of all those terms which are rational numbers in the expression (2^⅓+2^¼)^12 is

(1) 43

(2) 27

(3) 35

(4) 89

Solution (1)

Problem 5: Consider the statement ‘‘The match will be played only if the weather is good and the ground is not wet’’.

Select the correct negation from the following

(1)  The match will not be played or whether is good and ground is not wet

(2) The match will be played and weather is not good or ground is wet

(3)  The match will not be played and weather is not good and ground is wet

(4)   If the match will not be played, then either weather is not good or ground is wet

Solution (2)