MHT CET 2025 Mock Test Questions For Practice
Practice some common MHT CET 2025 Questions below as per JEE Main standards.
Physics
Question 1: A Carnot engine has an efficiency of 50%. If the temperature of the sink is reduced by 40ยฐC, 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 a capacitance of 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)
Question 6: The activity of a radioactive material is 6.4 ร 10โ4 curie. Its half-life is 5 days. The activity will become 5 ร 10โ6 curie after
(A) 7 days
(B) 15 days
(C) 25 days
(D) 35 days
Answer (D)
Question 7: For a constant collector-emitter voltage of 8 V, the collector current of a transistor reached the value of 6 mA from 4 mA, whereas the base current changed from 20 mA to 25 mA value. If the transistor is in the active state, a small signal current gain (current amplification factor) will be
(A) 240
(B) 400
(C) 0.0025
(D) 200
Answer (B)
Question 8: A parallel plate capacitor with a width of 4 cm, length of 8 cm and separation between the plates of 4 mm is connected to a battery of 20 V. A dielectric slab of dielectric constant 5 having length 1 cm, width 4 cm and thickness 4 mm is inserted between the plates of a parallel plate capacitor. The electrostatic energy of this system will be e0 J. (Where e0 is the permittivity of free space)
(A) 200
(B) 220
(C) 240
(D) 260
Answer (C)
Question 9: A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pressure of the smaller bubble of radius 3 cm in the above system is equal to the internal pressure of the other single soap bubble of radius r cm. The value of r is
(A) 1
(B) 2
(C) 3
(D) 4
Answer (B)
Question 10: A wire of length 30 cm, stretched between rigid supports, has its nth and (n + 1)th harmonics at 400 Hz and 450 Hz, respectively. If the tension in the string is 2700 N, its linear mass density is ________ kg/m.
(A) 1
(B) 3
(C) 5
(D) 7
Answer (B)
Chemistry
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 the 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 the blue colour.
(D) Record the time immediately before the appearance of the 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 cmโ3. The number of atoms present in 180 g of the element is ร1023. (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)
Question 6: When a certain amount of solid A is dissolved in 100 g of water at 25ยฐC to make a dilute solution, the vapour pressure of the solution is reduced to one-half of that of pure water. The vapour pressure of pure water is 23.76 mmHg. The number of moles of solute A added is___ . (Nearest Integer)
(A) 6
(B) 8
(C) 10
(D) 12
Answer (A)
Question 7: A gas (Molar mass = 280 g molโ1) was burnt in excess O2 in a constant volume calorimeter and during combustion, the temperature of the calorimeter increased from 298.0 K to 298.45 K. If the heat capacity of the calorimeter is 2.5 kJ Kโ1 and enthalpy of combustion of gas is 9 kJ molโ1 then the amount of gas burnt is g. (Nearest Integer)
(A) 30
(B) 35
(C) 40
(D) 45
Answer (B)
Question 8: Among the following ores Bauxite, Siderite, Cuprite, Calamine, Haematite, Kaolinite, Malachite, Magnetite, Sphalerite, Limonite, and Cryolite, the number of principal ores of iron.
(A) 1
(B) 2
(C) 3
(D) 4
Answer (D)
Question 9: 2.4 g coal is burnt in a bomb calorimeter more than oxygen at 298 K and 1 atm pressure. The temperature of the calorimeter rises from 298 K to 300 K. The enthalpy change during the combustion of coal is โx kJ molโ1. The value of x is _____. (Nearest integer)
(Given: Heat capacity of bomb calorimeter is 20.0 kJ Kโ1. Assume coal to be pure carbon)
(A) 100
(B) 200
(C) 300
(D) 400
Answer (B)
Question 10: 0.8 g of an organic compound was analysed by Kjeldahlโs method for the estimation of nitrogen. If the percentage of nitrogen in the compound was found to be 42%, then ______ mL of 1 M H2SO4 would have been neutralized by the ammonia evolved during the analysis.
(A) 8
(B) 10
(C) 12
(D) 14
Answer (C)
Mathematics
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 a rectangle in 4 : 1, then the locus of the mid-point of AB is
(1) Circle
(2) Hyperbola
(3) Ellipse
(4) Straight line
Solution (2)
Problem 3: Let A be a 2 ร 2 matrix such that AT = aA + 1 and |A2 + 2A| = 4, then a possible value of a is
(1) 1
(2) โ1
(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 the mean & variance of the set C is .
(1) 58
(2) 60
(3) 68
(4) 70
Solution (1)
Problem 6: A seven-digit number is formed using digits 3, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by 2, is :
(1) 1/7
(2) 6/7
(3) 4/7
(4) 3/7
Solution (4)
Problem 7: Let C be the locus of the mirror image of a point on the parabola y2 = 4x for the line y = x. Then the equation of tangent to C at P(2, 1) is :
(1) x + 2y = 4
(2) 2x + y = 5
(3) x โ y = 1
(4) x + 3y = 5
Solution (3)
Problem 8: Let A(โ1, 1), B(3, 4) and C(2, 0) be given three points. A line y = mx, m > 0, intersects lines AC and BC at points P and Q respectively. Let A1 and A2 be the areas of DABC and DPQC respectively, such that A1 = 3A2, then the value of m is equal to :
(1) 0
(2) 1
(3) 2
(4) 3
Solution (2)
Problem 9: If the equation of the plane passing through the mirror image of a point (2, 3, 1) concerning line (x+1)/2 =(y-3)/1= (z+2)/-1 and containing the line (x-2)/3 =(1-y)/2 =(z+1)/1 is ax + by + gz = 24, then a + b + g is equal to :
(1) 20
(2) 19
(3) 18
(4) 21
Solution (3)
Problem 10: Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with a probability of occurrence of 0 at even places be ยฝ and a probability of 1 of occurrence of 0 at the odd place be โ
. Then the probability that โ10โ is followed by โ01โ is equal to :
(1) 1/18
(2) 1/3
(3) 1/6
(4) 1/9
Solution (4)
