JEE Main 2025 DPP: Daily Practice Questions (13 January 2025) with Answers - Boost Your Preparation

JEE Main Session 1 2025 is scheduled from January 22 to 30. To excel, applicants should practice JEE Main sample papers regularly.

Here are daily practice questions for JEE Main DPP on 13 January 2025, 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 (13 January 2025)

Problem 1: If x + y + z = 17 and x, y, z are non-negative integers, then find the number of integral solutions is

(1) 136

(2) 171

(3) 90

(4) 130

Solution (2)

Problem 2: A rectangle is drawn by lines x = 0, x = 2, y = 0 and y = 5. Points A and B lie on coordinate axes. If line AB divides the area of rectangle in 4 : 1, then the locus of mid-point of AB is

(1) Circle

(2) Hyperbola

(3) Ellipse

(4) Straight line

Solution (2)

Problem 3: Let A be a 2 × 2 matrix such that AT = aA + 1 and |A2 + 2A| = 4, then a possible value of a is

(1) 1

(2) –1

(3) 3

(4) 0

Solution (2)

Problem 4: 5 boys with allotted roll numbers and seat numbers are seated in such a way that no one sits on the allotted seat. The number of such seating arrangements is

(1) 22

(2) 33

(3) 44

(4) 55

Solution (3)

Problem 5: Consider two sets A and B. Set A has 5 elements whose mean & variance are 5 and 8 respectively. Set B has also 5 elements whose mean & variance are 12 & 20 respectively. A new set C is formed by subtracting 3 from each element of set A and by adding 2 to each element of set B. The sum of mean & variance of the set C is          .

(1)   58

(2)   60

(3)   68

(4)   70

Solution (1)

JEE Main Daily Practice Questions: Physics (13 January 2025)

Question 1: A Carnot engine has efficiency of 50%. If the temperature of the sink is reduced by 40°C, its efficiency increases by 30%. The temperature of the source will be:

(A) 166.7 K

(B) 255.1 K

(C) 266.7 K

(D) 367.7 K

Answer (C)

Question 2: Given below are two statements :

Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.

Statement II : The rms speed of oxygen molecules in a gas is v. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become 2v.

In the light of the above statements, choose the correct answer from the options given below:

(A) Both Statement I and Statement II are true

(B) Both Statement I and Statement II are false

(C) Statement I is true but Statement II is false

(D) Statement I is false but Statement II is true

Answer (D)

Question 3: A wire of resistance R1 is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is :

(A) 9 : 1

(B) 1 : 9

(C) 4 : 1

(D) 3 : 1

Answer (A)

Question 4: Two capacitors, each having capacitance 40 mF are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant K such that the equivalence capacitance of the system becomes  24 microF. The value of K will be :

(A) 1.5

(B) 2.5

(C) 1.2

(D) 3

Answer (A)

Question 5: The current sensitivity of a galvanometer can be increased by :

(A) Decreasing the number of turns

(B) Increasing the magnetic field

(C) Decreasing the area of the coil

(D) Decreasing the torsional constant of the spring

Choose the most appropriate answer from the options given below :

(A) (B) and (C) only

(B) (C) and (D) only

(C) (A) and (C) only

(D) (B) and (D) only

Answer (D)

JEE Main Daily Practice Questions: Chemistry (13 January 2025)

Question 1 : Which of the following has the least tendency to liberate H2 from mineral acids?

(A) Cu

(B) Mn

(C)  Ni

(D)  Zn

Answer (A)

Question 2: Statements about Enzyme Inhibitor Drugs are given below :

(A) There are Competitive and Non-competitive inhibitor drugs.

(B) These can bind at the active sites and allosteric sites.

(C) Competitive Drugs are allosteric site blocking drugs.

(D) Non-competitive Drugs are active site blocking drugs.

Choose the correct answer from the options given below:

(A) (A), (D) only

(B) (A), (C) only

(C) (A), (B) only

(D) (A), (B), (C) only

Answer (C)

Question 3: For kinetic study of the reaction of iodide ion with H2O2 at room temperature :

(A) Always use freshly prepared starch solution.

(B) Always keep the concentration of sodium thiosulphate solution less than that of Kl solution.

(C) Record the time immediately after the appearance of blue colour.

(D) Record the time immediately before the appearance of blue colour.

(E) Always keep the concentration of sodium thiosulphate solution more than that of Kl solution.

Choose the correct answer from the options given below :

(A) (A), (B), (C) only

(B) (A), (D), (E) only

(C) (D), (E) only

(D) (A), (B), (E) only

Answer (A)

Question 4: An element M crystallises in a body centred cubic unit cell with a cell edge of 300 pm. The density of the element is 6.0 g cm–3. The number of atoms present in 180 g of the element is ×1023. (Nearest integer)

(A) 20

(B) 21

(C) 22

(D)23

Answer (C)

Question 5: For the given first order reaction A B, the half- life of the reaction is 0.3010 min. The ratio of the initial concentration of reactant to the concentration of reactant at time 2.0 min will be equal to _. (Nearest integer)

(A)  90

(B)  100

(C) 110

(D) 120

Answer (B)

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