MHT CET Practice Questions For PCM & PCB
Practice MHT CET 2025 PCM and PCB practice questions from the following questions.
Physics
Question 1:
A body is projected vertically upwards with a velocity of 20 m/s. The maximum height reached by the body is:
(a) 10 m (b) 20 m (c) 30 m (d) 40 m
Solution:
We can use the following equation of motion to solve this problem:
v^2 = u^2 + 2as
where:
- v = final velocity (0 m/s at the maximum height)
- u = initial velocity (20 m/s)
- a = acceleration due to gravity (-10 m/s^2)
- s = displacement (maximum height)
Substituting the values, we get:
0 = (20)^2 + 2(-10)s 0 = 400 - 20s 20s = 400 s = 20 m
Therefore, the correct answer is (b) 20 m.
Question 2:
Two wires of the same material have lengths in the ratio 1:2 and radii in the ratio 2:1. The ratio of their resistances is:
(a) 1:2 (b) 2:1 (c) 1:8 (d) 8:1
Solution:
The resistance of a wire is given by the formula:
R = ρl/A
where:
- R = resistance
- ρ = resistivity of the material
- l = length of the wire
- A = cross-sectional area of the wire
Let the lengths of the two wires be l1 and l2, and their radii be r1 and r2, respectively. Then, the ratio of their resistances is:
R1/R2 = (ρl1/πr1^2) / (ρl2/πr2^2) R1/R2 = (l1/l2) * (r2^2/r1^2)
Substituting the given ratios, we get:
R1/R2 = (1/2) * (2^2/1^2) R1/R2 = 2
Therefore, the correct answer is (b) 2:1.
Question 3:
A particle is moving in a circle of radius 1 m with a speed of 2 m/s. The centripetal acceleration of the particle is:
(a) 2 m/s^2 (b) 4 m/s^2 (c) 8 m/s^2 (d) 16 m/s^2
Solution:
The centripetal acceleration of a particle moving in a circle is given by the formula:
a = v^2/r
where:
- a = centripetal acceleration
- v = speed of the particle
- r = radius of the circle
Substituting the given values, we get:
a = (2)^2/1 a = 4 m/s^2
Therefore, the correct answer is (b) 4 m/s^2.
Question 4:
A convex lens has a focal length of 10 cm. An object is placed at a distance of 20 cm from the lens. The image distance is:
(a) 10 cm (b) 20 cm (c) 30 cm (d) 40 cm
Solution:
We can use the lens formula to solve this problem:
1/f = 1/v + 1/u
where:
- f = focal length (10 cm)
- v = image distance
- u = object distance (-20 cm)
Substituting the values, we get:
1/10 = 1/v + 1/(-20) 1/10 = 1/v - 1/20 1/v = 1/10 + 1/20 1/v = 3/20 v = 20/3 cm
Therefore, the correct answer is (a) 10 cm.
Question 5:
A body of mass 1 kg is moving with a velocity of 10 m/s. The kinetic energy of the body is:
(a) 50 J (b) 100 J (c) 150 J (d) 200 J
Solution:
The kinetic energy of a body is given by the formula:
KE = (1/2)mv^2
where:
- KE = kinetic energy
- m = mass of the body
- v = velocity of the body
Substituting the given values, we get:
KE = (1/2)(1)(10)^2 KE = 50 J
Therefore, the correct answer is (a) 50 J.
Chemistry
Question 1:
Which of the following is the correct IUPAC name for the compound CH3CH(OH)CH2CH3?
(a) 2-methylpropan-2-ol (b) 2-butanol (c) 3-butanol (d) 2-methylbutan-2-ol
Solution:
The longest carbon chain contains four carbon atoms, so the parent chain is butane. The hydroxyl group (OH) is attached to the second carbon atom, so the suffix is "-2-ol". There is also a methyl group (CH3) attached to the second carbon atom. Therefore, the correct IUPAC name is 2-methylbutan-2-ol.
Answer: (d) 2-methyl butane-2-ol
Question 2:
What is the major product formed when ethene reacts with HBr?
(a) Bromoethane (b) Ethylene dibromide (c) Bromoethene (d) Ethanol
Solution:
Ethene (CH2=CH2) reacts with HBr in an electrophilic addition reaction. The hydrogen atom of HBr adds to one carbon atom of the double bond, and the bromine atom adds to the other carbon atom. This results in the formation of bromoethane (CH3CH2Br).
Answer: (a) Bromoethane
Question 3:
Which of the following is the strongest acid?
(a) HCl (b) HBr (c) HI (d) HF
Solution:
The acidity of hydrohalic acids increases down the group in the periodic table. This is because the bond strength between hydrogen and the halogen atom decreases, making it easier for the hydrogen ion to be released. Therefore, HI is the strongest acid among the given options.
Answer: (c) HI
Question 4:
What is the oxidation state of sulfur in H2SO4?
(a) +2 (b) +4 (c) +6 (d) +8
Solution:
In H2SO4, the oxidation state of hydrogen is +1 and the oxidation state of oxygen is -2. Let the oxidation state of sulfur be x. Then, the overall charge of the molecule can be represented as:
2(+1) + x + 4(-2) = 0 2 + x - 8 = 0 x = +6
Answer: (c) +6
Question 5:
Which of the following is a colligative property?
(a) Boiling point (b) Freezing point (c) Osmotic pressure (d) All of the above
Solution:
Colligative properties are properties of solutions that depend on the number of solute particles present in the solution, but not on the nature of the solute particles. Boiling point elevation, freezing point depression, and osmotic pressure are all colligative properties.
Answer: (d) All of the above
Question 6:
What is the pH of a solution with a hydrogen ion concentration of 1 x 10^-5 M?
(a) 5 (b) 9 (c) 10 (d) 14
Solution:
The pH of a solution is defined as the negative logarithm of the hydrogen ion concentration:
pH = -log[H+]
In this case, [H+] = 1 x 10^-5 M, so:
pH = -log(1 x 10^-5) = 5
Answer: (a) 5
Question 7:
Which of the following elements has the highest electronegativity?
(a) Fluorine (b) Chlorine (c) Bromine (d) Iodine
Solution:
Electronegativity is the ability of an atom to attract electrons in a chemical bond. Electronegativity increases across a period and decreases down a group in the periodic table. Fluorine is the most electronegative element.
Answer: (a) Fluorine
Question 8:
What is the formula for calculating the molar mass of a compound?
(a) Sum of the atomic masses of all the atoms in the compound (b) Product of the atomic masses of all the atoms in the compound (c) Ratio of the atomic masses of all the atoms in the compound (d) Difference of the atomic masses of all the atoms in the compound
Solution:
The molar mass of a compound is the sum of the atomic masses of all the atoms in the compound.
Answer: (a) Sum of the atomic masses of all the atoms in the compound
Question 9:
Which of the following is an example of a condensation polymer?
(a) Polyethylene (b) Polypropylene (c) Nylon (d) PVC
Solution:
Condensation polymers are formed by the joining of monomers with the elimination of a small molecule, such as water. Nylon is an example of a condensation polymer, formed from the reaction of a diamine and a dicarboxylic acid.
Answer: (c) Nylon
Question 10:
What is the name of the process by which a solid changes directly into a gas?
(a) Melting (b) Boiling (c) Sublimation (d) Condensation
Solution:
Sublimation is the process by which a solid changes directly into a gas without passing through the liquid phase.
Answer: (c) Sublimation
Mathematics
Question 1:
If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], then A + B is:
(a) [[6, 8], [10, 12]] (b) [[-4, -4], [-4, -4]] (c) [[1, 7], [10, 12]] (d) [[6, 7], [8, 9]]
Solution:
Matrix addition is performed element-wise. So, A + B = [[1+5, 2+6], [3+7, 4+8]] = [[6, 8], [10, 12]]
Answer: (a) [[6, 8], [10, 12]]
Question 2:
The value of the determinant |[2, 3], [4, 5]| is:
(a) -2 (b) 2 (c) 8 (d) 22
Solution:
The determinant of a 2x2 matrix [[a, b], [c, d]] is ad - bc. So, |[2, 3], [4, 5]| = (25) - (34) = 10 - 12 = -2
Answer: (a) -2
Question 3:
If f(x) = x^2 + 2x + 1, then f(2) is:
(a) 5 (b) 9 (c) 10 (d) 11
Solution:
Substitute x = 2 into the function: f(2) = (2)^2 + 2(2) + 1 = 4 + 4 + 1 = 9
Answer: (b) 9
Question 4:
The slope of the line 2x + 3y = 6 is:
(a) 2/3 (b) -2/3 (c) 3/2 (d) -3/2
Solution:
Rewrite the equation in slope-intercept form (y = mx + b), where m is the slope. 3y = -2x + 6 => y = (-2/3)x + 2. Therefore, the slope is -2/3.
Answer: (b) -2/3
Question 5:
The integral of x^2 is:
(a) x^3 + C (b) (x^3)/3 + C (c) 2x + C (d) x^2 + C
Solution:
The power rule of integration states that the integral of x^n is (x^(n+1))/(n+1) + C. So, the integral of x^2 is (x^3)/3 + C.
Answer: (b) (x^3)/3 + C
Question 6:
The derivative of sin(x) is:
(a) cos(x) (b) -cos(x) (c) tan(x) (d) cot(x)
Solution:
The derivative of sin(x) is cos(x).
Answer: (a) cos(x)
Question 7:
The equation of a circle with centre (2, -3) and radius 4 is:
(a) (x-2)^2 + (y+3)^2 = 4 (b) (x+2)^2 + (y-3)^2 = 4 (c) (x-2)^2 + (y+3)^2 = 16 (d) (x+2)^2 + (y-3)^2 = 16
Solution:
The equation of a circle with centre (h, k) and radius r is (x-h)^2 + (y-k)^2 = r^2. So, the equation is (x-2)^2 + (y+3)^2 = 4^2 = 16.
Answer: (c) (x-2)^2 + (y+3)^2 = 16
Question 8:
The value of sin(π/2) is:
(a) 0 (b) 1 (c) -1 (d) √2/2
Solution:
sin(π/2) = 1
Answer: (b) 1
Question 9:
If tan(θ) = 3/4, then cos(θ) is:
(a) 3/5 (b) 4/5 (c) 5/3 (d) 5/4
Solution:
Since tan(θ) = opposite/adjacent = 3/4, we can consider a right triangle with opposite side 3 and adjacent side 4. The hypotenuse is √(3^2 + 4^2) = 5. cos(θ) = adjacent/hypotenuse = 4/5.
Answer: (b) 4/5
Question 10:
The limit of (sin(x)/x) as x approaches 0 is:
(a) 0 (b) 1 (c) ∞ (d) -∞
Solution:
This is a standard limit: lim (x->0) sin(x)/x = 1
Answer: (b) 1
Biology
Question 1:
Which of the following is NOT a characteristic of all living organisms?
(a) Reproduction (b) Metabolism (c) Movement (d) Consciousness
Solution:
While most living organisms exhibit movement, it's not a universal characteristic. For example, plants are living organisms but generally don't exhibit locomotion in the same way animals do. Reproduction, metabolism, and consciousness (responsiveness to stimuli) are considered fundamental characteristics of life.
Answer: (c) Movement
Question 2:
The primary site of photosynthesis in plants is:
(a) Roots (b) Stems (c) Leaves (d) Flowers
Solution:
Leaves contain chloroplasts, which are the organelles where photosynthesis takes place. Their large surface area and arrangement maximize light absorption.
Answer: (c) Leaves
Question 3:
Which of the following is the most inclusive (broadest) taxonomic category?
(a) Genus (b) Species (c) Kingdom (d) Family
Solution:
The taxonomic hierarchy proceeds from broadest to most specific: Kingdom, Phylum, Class, Order, Family, Genus, Species.
Answer: (c) Kingdom
Question 4:
Which of these is a vestigial structure in humans?
(a) Heart (b) Appendix (c) Brain (d) Lungs
Solution:
A vestigial structure has lost its original function during evolution. The appendix is considered a vestigial organ in humans.
Answer: (b) Appendix
Question 5:
The process of meiosis results in:
(a) Two identical daughter cells (b) Four genetically different daughter cells (c) Two genetically different daughter cells (d) Four identical daughter cells
Solution:
Meiosis is a type of cell division that reduces the number of chromosomes by half and produces gametes (sex cells). It results in four genetically different haploid daughter cells.
Answer: (b) Four genetically different daughter cells
Question 6:
Which gas is most abundant in Earth's atmosphere?
(a) Oxygen (b) Carbon Dioxide (c) Nitrogen (d) Hydrogen
Solution:
Nitrogen makes up approximately 78% of Earth's atmosphere.
Answer: (c) Nitrogen
Question 7:
Which of the following is a DNA base NOT found in RNA?
(a) Adenine (b) Guanine (c) Cytosine (d) Thymine
Solution:
Thymine is replaced by Uracil in RNA.
Answer: (d) Thymine
Question 8:
The basic structural and functional unit of life is:
(a) Tissue (b) Organ (c) Cell (d) Organ System
Solution:
The cell is the fundamental unit of life. All living organisms are composed of cells.
Answer: (c) Cell
Question 9:
Which of the following is an example of a monosaccharide?
(a) Sucrose (b) Lactose (c) Glucose (d) Starch
Solution:
Glucose is a monosaccharide (a simple sugar). Sucrose and lactose are disaccharides, and starch is a polysaccharide.
Answer: (c) Glucose
Question 10:
Which of these is responsible for carrying oxygen in the blood?
(a) Hemoglobin (b) Plasma (c) Platelets (d) White blood cells
Solution:
Haemoglobin, a protein found in red blood cells, is responsible for transporting oxygen throughout the body.
Answer: (a) Hemoglobin
