JEE Mains 12 December Daily Practice Questions for 2025 Session 1 with Solution

JEE Mains 12 December Daily Practice Questions for 2025: The National Testing Agency (NTA) will conduct the JEE Main Session 1 exams in the last week of January and to help the candidates prepare, daily practice questions have been provided here. The JEE Mains 12 December Daily Practice Questions for 2025 given here have been collected from various sources and will let the candidates get more accustomed to solving the problems. In addition to the JEE Mains 12 DPP for Session 1 2025, candidates are also advised to practice with as many number and types of questions as they can.

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JEE Mains 12 December Daily Practice Questions for 2025

JEE Mains 12 December Physics Daily Practice Questions for 2025 Session 1 with Solutions

Question 1:
A radioactive substance undergoes beta decay and has a half-life of 30 minutes. What fraction of the original substance remains undecayed after 90 minutes?

(1) 1/4
(2) 1/2
(3) 1/16
(4) 1/8

Answer: (4)

Question 2:
A stone is thrown at an angle of 30^∘ to the horizontal. What is the ratio of its kinetic energy at the point of projection to its kinetic energy at the highest point during its flight?

(1) 4:3
(2) 4:1
(3) 1:4
(4) 1:2

Answer: (1)

Question 3:
If a car moves along a horizontal curve with a radius of 50 m, the approximate maximum speed of the car, given that the coefficient of friction between its tyres and the road is 0.34, is:
(Take g=10 m/s2)

(1) 13 m/s
(2) 17 m/s
(3) 3.4 m/s
(4) 22.4 m/s

Answer: (1)

Question 4:
The air pressure inside a bicycle tyre is initially 270 kPa at a temperature of 27^∘C. What will the approximate pressure be when the temperature increases to 36^∘C?

(1) 262 kPa
(2) 270 kPa
(3) 278 kPa
(4) 360 kPa

Answer: (3)

Question 5:
Which of the following statements is incorrect regarding light-emitting diodes (LEDs)?

A. It emits light only when it is reverse biased.
B. It is a heavily doped $p$-$n$ junction.
C. The energy of emitted light is approximately equal to the energy gap of the semiconductor.
D. It emits light only when it is forward biased.

Choose the correct answer:

(1) A and C
(2) A
(3) B
(4) D

Answer: (2)

JEE Mains 12 December Chemistry Daily Practice Questions for 2025 Session 1 with Solutions

Question 1:
Which of the following compounds can effectively enhance the efficiency of a hydrogen storage tank?

(1) Di-isobutylaluminium hydride
(2) NaNi5​
(3) SiH4​
(4) Li/P4​

Answer: (2)

Question 2:
During the borax bead test with CuSO4​, a bead with blue-green color is observed in an oxidizing flame due to the formation of:

(1) CuO
(2) Cu(BO2)2​
(3) Cu3B2​
(4) None of the above

Answer: (2)

Question 3:
The correct statement about smog is:

(1) Classical smog also contains high concentrations of oxidizing agents.
(2) Photochemical smog has high concentrations of oxidizing agents.
(3) Both NO2 and SO2 are present in classical smog.
(4) NO2 is present in classical smog.

Answer: (2)

Question 4:
The number of cyclic tripeptides that can be formed using two amino acids, A and B, is:

(1) 4
(2) 5
(3) 3
(4) 2

Answer: (4)

Question 5:
Among the following, which molecule has the highest bond dissociation energy?

(1) I2​
(2) Cl2​
(3) Br2​
(4) F2​

Answer: (2)

JEE Mains 12 December Mathematics Daily Practice Questions for 2025 Session 1 with Solutions

Problem 1:
If z=3+4i, the modulus of z is:

(1) 7
(2) 3
(3) 5
(4) 4

Solution: (3)

Problem 2:
Two dice are rolled simultaneously. What is the probability that the sum of the numbers rolled is 7?

(1) 1/9​
(2) 1/12​
(3) 1/36​
(4) 1/6​

Solution: (4)

Problem 3:
Fifteen football players from a club team are given 15 T-shirts with their names printed on the back. If the players pick up the T-shirts randomly, what is the probability that at least 3 players pick the correct T-shirt?

(1) 5/36​
(2) 5/24​
(3) 1/6​
(4) 2/15​

Solution: (1)

Problem 4:
The distance between points A(1,2) and B(4,6 is:

(1) sqrt(17)​
(2) sqrt(13)​
(3) 4
(4) 5

Solution: (2)

Problem 5:
A deck of 52 cards is shuffled. Two cards are drawn at random. What is the probability that both cards drawn are aces?

(1) 1/132​
(2) 1/102​
(3) 1/121​
(4) 1/169​

Solution: (3)