JEE Main DPP 7 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 7 December 2024

JEE Main DPP 7 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 7 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 7 December 2024: DPP for 2025 aspirants

JEE Main DPP 7 December 2024: Physics

Candidates can check out the JEE Main DPP 7 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: A NCC parade is going at a uniform speed of 9 km/h under a mango tree on which a monkey is sitting at a height of 19.6 m. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is (Given g = 9.8 m/s2)

(A) 5 m

(B) 10 m

(C) 19.8 m

(D) 24.5 m

Answer (A)

Question 2: In two different experiments, an object of mass 5 kg moving with a speed of 25 ms–1 hits two different walls and comes to rest within (i) 3 second, (ii) 5 seconds, respectively.

Choose the correct option out of the following:

(A) Impulse and average force acting on the object will be the same for both the cases.

(B)  Impulse will be the same for both the cases but the average force will be different.

(C)  Average force will be the same for both the cases but the impulse will be different.

(D)  Average force and impulse will be different for both the cases.

Answer (B)

Question 3: A balloon has a mass of 10 g in air. The air escapes from the balloon at a uniform rate with velocity 4.5 cm/s. If the balloon shrinks in 5 s completely. Then, the average force acting on that balloon will be (in dyne).

(A) 3

(B) 9

(C) 12

(D) 18

Answer (B)

Question 4: If the radius of earth shrinks by 2% while its mass remains same. The acceleration due to gravity on the earth's surface will approximately

(A) Decrease by 2%

(B) Decrease by 4%

(C) Increase by 2%

(D) Increase by 4%

Answer (D)

Question 5: 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)

JEE Main DPP 7 December 2024: Chemistry

Question 1: Identify the incorrect statement from the following.

(A)  A circular path around the nucleus in which an electron moves is proposed as Bohr’s orbit.

(B) An orbital is the one electron wave function (a) in an atom.

(C) The existence of Bohr’s orbits is supported by the hydrogen spectrum.

(D)  Atomic orbital is characterised by the quantum numbers n and l only.

Answer (D)

Question 2: In which of the following pairs, electron gain enthalpies of constituent elements are nearly the same or identical?

(A)  Rb and Cs

(B) Na and K

(C) Ar and Kr

(D) I and At

Choose the correct answer from the options given below:

(A) (A) and (B) only

(B) (B) and (C) only

(C) (A) and (C) only

(D) (C) and (D) only

Answer (C)

Question 3: 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 4: Given below are two statements.

Statement I : In polluted water values of both dissolved oxygen and BOD are very low.

Statement II : Eutrophication results in a decrease in the amount of dissolved oxygen.

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 5: 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)

JEE Main DPP 7 December 2024: Mathematics

Candidates can check out the JEE Main DPP 7 December  2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: Let a and b be real numbers. Consider a 3 × 3 matrix A such that A^2 = 3A + aI. If A^4 = 21A + bI, then

(A) a=1

(B) a=4

(C) b=8

(D) b=-8

Solution (D)

Problem 2: Fifteen football players of a club-team are given 15 T-shirts with their names written on the backside. If the players pick up the T-shirts randomly, then the probability that at least 3 players pick the correct T- shirt is

(A) 1/6

(B) 5/36

(C) 2/15

(D) 5/24

Solution (None of these)

Problem 3: Let B and C be the two points on the line y + x = 0 such that B and C are symmetric with respect to the origin. Suppose A is a point on y – 2x = 2 such that ABC is an equilateral triangle. Then, the area of triangle

(A) 3(3)^½

(B) 2(3)^½

(C) 10/(3)^½

(D) 8/(3)^½

Solution (D)

Problem 4: Three rotten apples are mixed accidently with seven good apples and four apples are drawn one by one without replacement. Let the random variable X denote the number of rotten apples. If m and s2   represent mean and variance of X, (3) respectively, then 10(m2 + s2) is equal to

(A) 25

(B) 250

(C) 30

(D) 20

Solution (D)

Problem 5: Five digit numbers are formed using the digits 1, 2, 3, 5, 7 with repetitions and are written in descending order with serial number. For example, the number 77777 has serial number  Then the serial number of 35337 is

(A) 1436

(B) 1438

(C) 1336

(D) 1338

Solution (D)