JEE Main DPP 10 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 10 December 2024

JEE Main DPP 10 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 10 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 10 December 2024: DPP for 2025 aspirants

JEE Main DPP 10 December 2024: Physics

Candidates can check out the JEE Main DPP 10 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: If a radioactive element having half-life of 30 min. is undergoing beta decay, the fraction of radioactive element remains undecayed after 90 min. will be

(1) 1/8

(2) 1/4

(3) 1/16

(4) 1/2

Answer (1)

Question 2: A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of a car will be, if friction between tyres and road is 0.34. [take g = 10 ms–2]

(1) 22.4 ms–1

(2) 13 ms–1

(3) 17 ms–1

(4) 3.4 ms–1

Answer (2)

Question 3: A stone is projected at angle 30º to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be -

(1) 4 : 3

(2) 4 : 1

(3) 1 : 2

(4) 1 : 4

Answer (1)

Question 4: A bicycle tyre is filled with air having a pressure of 270 kPa at 27°C. The approximate pressure of the air in the tyre when the temperature increases to 36°C is

(1)  270 kPa

(2)  278 kPa

(3)  360 kPa

(4)  262 kPa

Answer (2)

Question 5: Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : If dQ and dW represent the heat supplied to the system and the work done on the system respectively. Then according to the first law of thermodynamics dQ = dU – dW.

Reason R : The first law of thermodynamics is based on the law of conservation of energy.

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

(1)  Both A and R are correct and R is the correct explanation of A

(2)  A is correct but R is not correct

(3) A is not correct but R is correct

(4) Both A and R are correct and R is not the correct explanation of A

Answer (1)

JEE Main DPP 10 December 2024: Chemistry

Candidates can check out the JEE Main DPP 10 December  2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: The correct order of hydration enthalpies is

(A)  K+

(B) Rb+p

(C) Mg2+

(D) Cs+

(E) Ca2+

Choose the correct answer from the options given below:

(1) E > C > A > B > D

(2) C > E > A > D > B

(3) C > A > E > B > D

(4) C > E > A > B > D

Answer (4)

Question 2: Number of cyclic tripeptides formed with 2 amino acids A and B is:

(1) 3

(2) 2

(3) 4

(4) 5

Answer (2)

Question 3: Which of the given compounds can enhance the efficiency of a hydrogen storage tank?

(1)  Li/P4

(2)  NaNi5

(3) SiH4

(4)  Di-isobutylaluminium hydride

Answer (2)

Question 4: During the borax bead test with CuSO4, a blue green colour of the bead was observed in oxidising flame due to the formation of

(1) CuO

(2) Cu(BO2)2

(3) Cu3B2

(4) Cu

Answer (2)

Question 5: “A” obtained by Ostwald’s method involving air oxidation of NH3, upon further air oxidation produces “B”. “B” on hydration forms an oxoacid of Nitrogen along with evolution of “A”. The oxoacid also produces “A” and gives a positive brown ring test.

Identify A and B, respectively.

(1) NO, NO2

(2) N2O3, NO2

(3) NO2, N2O4

(4) NO2, N2O5

Answer (1)

JEE Main DPP 10 December 2024: Mathematics

Candidates can check out the JEE Main DPP 10 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: A fair die is tossed until six is obtained on it. Let X be the number of required tosses, then the conditional probability P(X >= 5 | X > 2) is :

(1) 5/6

(2) 125/216

(3) 11/36

(4) 25/36

Solution (4)

Problem 2: Let [t] denote the greatest integer less than or equal to t. Let f(x) = x – [x], g(x) = 1 – x + [x], and h(x) = min{f(x), g(x)}, xÎ [–2, 2].

(1)  Not continuous at exactly four points in [–2, 2]

(2)  Continuous in [–2, 2] but not differentiable at more than four points in (-2, 2)

(3)  Not continuous at exactly three points in [–2,2]

(4)  Continues in [–2, 2] but not differentiable at exactly three points in (–2, 2)

Solution (2)

Problem 3: Two fair dice are thrown. The numbers on them are taken as l and m, and a system of linear equations

x + y + z = 5

x + 2y + 3z = m

x + 3y + lz = 1

is constructed. If p is the probability that the system has a unique solution and q is the probability that the system has no solution, then

(1) p=1/6 and q=1/36

(2) p=5/6 and q=5/36

(1) p=1/6 and q=5/36

(1) p=5/6 and q=1/36

Solution (2)

Problem 4: Let P be the plane passing through the point (1, 2, 3) and the line of intersection of the planes .r × (iˆ + jˆ + 4kˆ) = 16 and .r × (–iˆ + ˆj + kˆ) = 6 .Then which of the following points does NOT lie on P?

(1) (–8, 8, 6)

(2) (4, 2, 2)

(3) (3, 3, 2)

(4) (6, – 6, 2)

Solution (2)

Problem 5: The sum of all 3-digit numbers less than or equal to 500, that are formed without using the digit “1” and they all are multiple of 11, is

(1) 7744

(2) 7764

(3) 7774

(4) 7784

Solution (D)