Q. What is the integrating factor for the equation dy/dx + (1/x)y = 2?
A.
x
B.
e^(ln(x))
C.
e^(ln(x^2))
D.
1/x
Show solution
Solution
The integrating factor is e^(∫(1/x)dx) = e^(ln(x)) = x.
Correct Answer:
C
— e^(ln(x^2))
Learn More →
Q. What is the integrating factor for the equation dy/dx + 2y = 3?
A.
e^(2x)
B.
e^(-2x)
C.
e^(3x)
D.
e^(-3x)
Show solution
Solution
The integrating factor is e^(∫2dx) = e^(2x).
Correct Answer:
A
— e^(2x)
Learn More →
Q. What is the integrating factor for the equation dy/dx + 2y = 6?
A.
e^(2x)
B.
e^(-2x)
C.
e^(6x)
D.
e^(-6x)
Show solution
Solution
The integrating factor is e^(∫2dx) = e^(2x).
Correct Answer:
A
— e^(2x)
Learn More →
Q. What is the IUPAC name of CH3CH2Cl?
A.
Chloroethane
B.
Ethyl chloride
C.
Ethane chloride
D.
Chloromethane
Show solution
Solution
The IUPAC name of CH3CH2Cl is Chloroethane, as it is a two-carbon alkane with a chlorine substituent.
Correct Answer:
A
— Chloroethane
Learn More →
Q. What is the IUPAC name of CH3CH2OH? (2021) 2021
A.
Ethanol
B.
Methanol
C.
Propanol
D.
Butanol
Show solution
Solution
The compound CH3CH2OH is an alcohol with two carbon atoms, which is named Ethanol.
Correct Answer:
A
— Ethanol
Learn More →
Q. What is the IUPAC name of CH3CHO? (2023) 2023
A.
Acetaldehyde
B.
Ethanal
C.
Ethyl aldehyde
D.
Methyl ketone
Show solution
Solution
The IUPAC name of CH3CHO is ethanal, which is the simplest aldehyde.
Correct Answer:
B
— Ethanal
Learn More →
Q. What is the IUPAC name of the compound CH3CH2NH2? (2021)
A.
Ethylamine
B.
Dimethylamine
C.
Propylamine
D.
Methylamine
Show solution
Solution
The IUPAC name of CH3CH2NH2 is Ethylamine, as it consists of an ethyl group attached to an amine.
Correct Answer:
A
— Ethylamine
Learn More →
Q. What is the IUPAC name of the compound CH3COOH? (2020)
A.
Methanoic acid
B.
Ethanoic acid
C.
Propanoic acid
D.
Butanoic acid
Show solution
Solution
The IUPAC name of CH3COOH is Ethanoic acid, which is commonly known as acetic acid.
Correct Answer:
B
— Ethanoic acid
Learn More →
Q. What is the kinetic energy of a 3 kg object moving at a speed of 4 m/s? (2022)
A.
24 J
B.
12 J
C.
6 J
D.
48 J
Show solution
Solution
Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 3 kg × (4 m/s)² = 24 J.
Correct Answer:
B
— 12 J
Learn More →
Q. What is the kinetic energy of a 4 kg object moving at a speed of 3 m/s? (2015)
A.
18 J
B.
12 J
C.
24 J
D.
36 J
Show solution
Solution
Kinetic Energy (KE) = 0.5 × mass × velocity² = 0.5 × 4 kg × (3 m/s)² = 18 J.
Correct Answer:
B
— 12 J
Learn More →
Q. What is the Ksp expression for the salt AgCl? (2023)
A.
[Ag+][Cl-]
B.
[AgCl]
C.
[Ag+][Cl-]^2
D.
[AgCl]^2
Show solution
Solution
The solubility product constant (Ksp) for AgCl is expressed as Ksp = [Ag+][Cl-], where [Ag+] and [Cl-] are the molar concentrations of the ions in a saturated solution.
Correct Answer:
A
— [Ag+][Cl-]
Learn More →
Q. What is the Ksp of AgCl if the solubility of AgCl in water is 1.33 x 10^-5 M? (2023)
A.
1.78 x 10^-10
B.
1.33 x 10^-5
C.
1.33 x 10^-10
D.
1.78 x 10^-5
Show solution
Solution
Ksp = [Ag+][Cl-] = (1.33 x 10^-5)(1.33 x 10^-5) = 1.78 x 10^-10.
Correct Answer:
A
— 1.78 x 10^-10
Learn More →
Q. What is the latent heat of fusion if 2000 J of energy is required to melt 0.5 kg of ice? (2021)
A.
2000 J/kg
B.
4000 J/kg
C.
1000 J/kg
D.
500 J/kg
Show solution
Solution
Latent heat of fusion (L) = Q / m = 2000 J / 0.5 kg = 4000 J/kg.
Correct Answer:
A
— 2000 J/kg
Learn More →
Q. What is the latent heat of fusion if 2000 J of heat is required to melt 500 g of ice? (2022)
A.
2000 J/kg
B.
4000 J/kg
C.
1000 J/kg
D.
3000 J/kg
Show solution
Solution
Latent heat of fusion (L) = Q/m = 2000 J / 0.5 kg = 4000 J/kg.
Correct Answer:
A
— 2000 J/kg
Learn More →
Q. What is the latent heat of fusion of ice if 80 calories are required to melt 20 grams of ice? (2020)
A.
40 cal/g
B.
60 cal/g
C.
80 cal/g
D.
100 cal/g
Show solution
Solution
Latent heat of fusion (L_f) = Q / m = 80 cal / 20 g = 4 cal/g.
Correct Answer:
C
— 80 cal/g
Learn More →
Q. What is the latent heat of fusion of ice if 80 g of ice at 0°C melts to water at 0°C, absorbing 3360 J of heat? (2022)
A.
40 J/g
B.
60 J/g
C.
80 J/g
D.
100 J/g
Show solution
Solution
Latent heat of fusion (L) = Q/m = 3360 J / 80 g = 42 J/g.
Correct Answer:
C
— 80 J/g
Learn More →
Q. What is the latent heat of vaporization if 500 g of water at 100°C is converted to steam at the same temperature, absorbing 2260 kJ of heat? (2023)
A.
2260 J/g
B.
450 J/g
C.
334 J/g
D.
1000 J/g
Show solution
Solution
Latent heat of vaporization (L) = Q / m = 2260 kJ / 500 g = 4.52 kJ/g = 2260 J/g.
Correct Answer:
A
— 2260 J/g
Learn More →
Q. What is the latent heat of vaporization of water if 540 J of energy is required to convert 100 g of water at 100°C to steam? (2021)
A.
540 J/g
B.
54 J/g
C.
5.4 J/g
D.
0.54 J/g
Show solution
Solution
Latent heat of vaporization (L) = Q/m = 540 J / 100 g = 5.4 J/g.
Correct Answer:
A
— 540 J/g
Learn More →
Q. What is the length of a chord that is 6 cm away from the center of a circle with a radius of 10 cm? (2015)
A.
8 cm
B.
12 cm
C.
10 cm
D.
6 cm
Show solution
Solution
Using Pythagoras: (radius)² = (distance from center)² + (half chord)²; 10² = 6² + (half chord)²; half chord = 8 cm, so full chord = 16 cm.
Correct Answer:
A
— 8 cm
Learn More →
Q. What is the length of a chord that is 6 cm from the center of a circle with a radius of 10 cm? (2019)
A.
8 cm
B.
12 cm
C.
10 cm
D.
6 cm
Show solution
Solution
Using Pythagoras: chord length = 2√(r² - d²) = 2√(10² - 6²) = 2√(100 - 36) = 2√64 = 16 cm.
Correct Answer:
A
— 8 cm
Learn More →
Q. What is the length of a diameter of a circle with a radius of 7 cm? (2022)
A.
14 cm
B.
21 cm
C.
7 cm
D.
28 cm
Show solution
Solution
Diameter = 2 × radius; Diameter = 2 × 7 cm = 14 cm.
Correct Answer:
A
— 14 cm
Learn More →
Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (Use π = 3.14) (2023)
A.
10.47 cm
B.
15.71 cm
C.
20.94 cm
D.
25.13 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer:
A
— 10.47 cm
Learn More →
Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021)
A.
10.47 cm
B.
12.57 cm
C.
15.71 cm
D.
20.94 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer:
B
— 12.57 cm
Learn More →
Q. What is the length of an arc of a circle with a radius of 10 cm and a central angle of 60 degrees? (2021) 2021
A.
10.47 cm
B.
15.71 cm
C.
20.94 cm
D.
25.13 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 10 = 10.47 cm.
Correct Answer:
A
— 10.47 cm
Learn More →
Q. What is the length of an arc of a circle with a radius of 4 cm and a central angle of 90 degrees? (2021)
A.
2π cm
B.
4π cm
C.
π cm
D.
8 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (90/360) * 2π * 4 = 2π cm.
Correct Answer:
A
— 2π cm
Learn More →
Q. What is the length of an arc of a circle with a radius of 5 cm and a central angle of 60 degrees? (2020)
A.
5.24 cm
B.
3.14 cm
C.
5.00 cm
D.
10.47 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2π(5) = (1/6) * 10π ≈ 5.24 cm.
Correct Answer:
A
— 5.24 cm
Learn More →
Q. What is the length of an arc of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14) (2020)
A.
6.28 cm
B.
3.14 cm
C.
12.56 cm
D.
9.42 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * 3.14 * 6 cm = 6.28 cm.
Correct Answer:
A
— 6.28 cm
Learn More →
Q. What is the length of an arc of a circle with radius 5 cm and angle 60 degrees? (2020)
A.
5.24 cm
B.
3.14 cm
C.
5.00 cm
D.
6.00 cm
Show solution
Solution
Arc length = (θ/360) * 2πr = (60/360) * 2 * π * 5 = 5.24 cm.
Correct Answer:
A
— 5.24 cm
Learn More →
Q. What is the length of the diagonal of a cuboid with dimensions 2, 3, and 6? (2022)
A.
√49
B.
√45
C.
√36
D.
√50
Show solution
Solution
Diagonal = √(2² + 3² + 6²) = √(4 + 9 + 36) = √49 = 7.
Correct Answer:
A
— √49
Learn More →
Q. What is the length of the diagonal of a rectangle with vertices at (0, 0), (0, 3), (4, 0), and (4, 3)? (2022)
Show solution
Solution
Diagonal = √[(4-0)² + (3-0)²] = √[16 + 9] = √25 = 5.
Correct Answer:
A
— 5
Learn More →
Showing 1771 to 1800 of 2530 (85 Pages)
MHT-CET MCQ & Objective Questions
The MHT-CET exam is a crucial stepping stone for students aspiring to pursue engineering and pharmacy courses in Maharashtra. Mastering the MHT-CET MCQ format is essential, as it not only tests your knowledge but also enhances your exam preparation strategy. Practicing objective questions helps in identifying important concepts and improves your chances of scoring better in this competitive exam.
What You Will Practise Here
Fundamental concepts in Physics, Chemistry, and Mathematics
Key formulas and their applications in problem-solving
Important definitions and terminologies relevant to MHT-CET
Diagrams and illustrations for better conceptual understanding
Practice questions that mirror the exam pattern
Analysis of previous years' MHT-CET questions
Techniques for tackling tricky MCQs effectively
Exam Relevance
The MHT-CET exam is aligned with the syllabus of CBSE, State Boards, and is also relevant for students preparing for NEET and JEE. Many concepts from the MHT-CET syllabus appear in these competitive exams, often in the form of application-based questions or conceptual MCQs. Understanding the common question patterns can significantly enhance your preparation and performance.
Common Mistakes Students Make
Misinterpreting questions due to lack of clarity in reading
Neglecting to review fundamental concepts before attempting MCQs
Overlooking units and dimensions in Physics and Chemistry problems
Rushing through practice questions without thorough understanding
Failing to manage time effectively during the exam
FAQs
Question: What are the best resources for MHT-CET MCQ questions?Answer: Utilizing online platforms like SoulShift, which offer a variety of practice questions and mock tests, can be very beneficial.
Question: How can I improve my speed in solving MHT-CET objective questions?Answer: Regular practice and timed mock tests can help enhance your speed and accuracy in solving MCQs.
Start your journey towards success by solving MHT-CET practice MCQs today! Test your understanding and build your confidence for the exam ahead.
