Q. What is the conjugate of the complex number 5 - 2i? (2020)
A.
5 + 2i
B.
5 - 2i
C.
2 - 5i
D.
5 - i
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Solution
The conjugate of a complex number a + bi is a - bi. Thus, the conjugate of 5 - 2i is 5 + 2i.
Correct Answer:
A
— 5 + 2i
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Q. What is the constant term in the expansion of (2x^2 - 3/x)^5? (2020)
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Solution
The constant term occurs when 2k - 5 = 0, k = 2. The term is C(5,2)(-3)^3(2^2) = 10 * -27 * 4 = -1080.
Correct Answer:
A
— -243
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Q. What is the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (3, 6)? (2022)
A.
(3, 2)
B.
(2, 3)
C.
(3, 3)
D.
(4, 2)
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Solution
Centroid = ((0+6+3)/3, (0+0+6)/3) = (3, 2).
Correct Answer:
A
— (3, 2)
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Q. What is the coordination number of the central metal ion in the complex ion [Co(NH3)6]Cl3? (2021)
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Solution
In the complex ion [Co(NH3)6]Cl3, the central metal ion Co is surrounded by 6 ammonia (NH3) ligands, which gives it a coordination number of 6.
Correct Answer:
C
— 6
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Q. What is the coordination number of the complex ion [Co(NH3)5Cl]Cl2? (2023)
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Solution
In the complex [Co(NH3)5Cl]Cl2, cobalt is surrounded by five ammonia ligands and one chloride ligand, giving it a coordination number of 6.
Correct Answer:
C
— 6
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Q. What is the coordination number of the complex ion [Co(NH3)6]Cl3? (2022) 2022
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Solution
The coordination number is determined by the number of ligands attached to the central metal ion. Here, Co is surrounded by 6 NH3 ligands.
Correct Answer:
B
— 6
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Q. What is the coordination number of the metal ion in the complex [Co(NH3)5Cl]Cl2? (2023)
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Solution
In the complex [Co(NH3)5Cl]Cl2, cobalt is surrounded by five ammonia ligands and one chloride ligand, giving it a coordination number of 6.
Correct Answer:
C
— 6
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Q. What is the cross product of vectors A = i + j and B = j + k? (2022)
A.
i + k
B.
i - k
C.
j - i
D.
k - j
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Solution
A × B = |i j k| |1 1 0| |0 1 1| = i(1*1 - 0*1) - j(1*1 - 0*0) + k(1*0 - 1*0) = i - j.
Correct Answer:
A
— i + k
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Q. What is the current through a 10Ω resistor connected to a 20V battery? (2020)
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Solution
Using Ohm's law, I = V/R = 20V / 10Ω = 2A.
Correct Answer:
B
— 2A
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Q. What is the current through a 12Ω resistor connected to a 24V battery? (2023)
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Solution
Using Ohm's law, I = V/R = 24V / 12Ω = 2A.
Correct Answer:
B
— 2A
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Q. What is the current through a 12Ω resistor connected to a 48V power supply? (2021)
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Solution
Using Ohm's law, I = V/R = 48V / 12Ω = 4A.
Correct Answer:
A
— 4A
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Q. What is the current through a 12Ω resistor connected to a 48V source? (2021)
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Solution
Using Ohm's law, I = V/R = 48V / 12Ω = 4A.
Correct Answer:
A
— 4A
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Q. What is the current through a 12Ω resistor when a voltage of 48V is applied across it? (2021)
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Solution
Using Ohm's law, I = V/R = 48V / 12Ω = 4A.
Correct Answer:
C
— 4A
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Q. What is the current through a 12Ω resistor when a voltage of 48V is applied? (2023)
Show solution
Solution
Using Ohm's law, I = V/R = 48V / 12Ω = 4A.
Correct Answer:
B
— 6A
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Q. What is the current through a 15Ω resistor connected to a 45V source? (2021)
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Solution
Using Ohm's law, I = V/R = 45V / 15Ω = 3A.
Correct Answer:
A
— 3A
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Q. What is the de Broglie wavelength of an electron moving with a velocity of 1 x 10^6 m/s? (mass of electron = 9.11 x 10^-31 kg) (2022)
A.
6.63 x 10^-24 m
B.
6.63 x 10^-22 m
C.
6.63 x 10^-20 m
D.
6.63 x 10^-18 m
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Solution
λ = h / p = h / (mv) = 6.63 x 10^-34 / (9.11 x 10^-31 * 1 x 10^6) = 6.63 x 10^-24 m.
Correct Answer:
A
— 6.63 x 10^-24 m
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Q. What is the derivative of f(x) = 1/x?
A.
-1/x^2
B.
1/x^2
C.
-x
D.
x
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Solution
The derivative f'(x) = d/dx(1/x) = -1/x^2.
Correct Answer:
A
— -1/x^2
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Q. What is the derivative of f(x) = 2x^3 - 9x^2 + 12x? (2021)
A.
6x^2 - 18x + 12
B.
6x^2 - 18x
C.
6x^2 + 18x
D.
6x^2 - 12
Show solution
Solution
f'(x) = 6x^2 - 18x + 12.
Correct Answer:
A
— 6x^2 - 18x + 12
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Q. What is the derivative of f(x) = 3x^2 + 5x - 7? (2021) 2021
A.
3x + 5
B.
6x + 5
C.
6x - 5
D.
3x^2 + 5
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Solution
The derivative f'(x) = d/dx(3x^2 + 5x - 7) = 6x + 5.
Correct Answer:
B
— 6x + 5
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Q. What is the derivative of f(x) = 5x^4?
A.
20x^3
B.
5x^3
C.
15x^3
D.
4x^3
Show solution
Solution
The derivative f'(x) = d/dx(5x^4) = 20x^3.
Correct Answer:
A
— 20x^3
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Q. What is the derivative of f(x) = e^(2x)?
A.
2e^(2x)
B.
e^(2x)
C.
e^(x)
D.
2x*e^(2x)
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Solution
Using the chain rule, f'(x) = d/dx(e^(2x)) = 2e^(2x).
Correct Answer:
A
— 2e^(2x)
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Q. What is the derivative of f(x) = x^3 - 4x + 6?
A.
3x^2 - 4
B.
3x^2 + 4
C.
x^2 - 4
D.
3x^2 - 6
Show solution
Solution
The derivative f'(x) = d/dx(x^3 - 4x + 6) = 3x^2 - 4.
Correct Answer:
A
— 3x^2 - 4
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Q. What is the derivative of f(x) = x^3 - 4x?
A.
3x^2 - 4
B.
3x^2 + 4
C.
x^2 - 4
D.
3x^2 - 2
Show solution
Solution
The derivative f'(x) = d/dx(x^3 - 4x) = 3x^2 - 4.
Correct Answer:
A
— 3x^2 - 4
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Q. What is the derivative of f(x) = x^4 + 2x^3 - x + 1? (2017)
A.
4x^3 + 6x^2 - 1
B.
4x^3 + 2x^2 - 1
C.
3x^3 + 6x^2 - 1
D.
4x^3 + 2x - 1
Show solution
Solution
The derivative f'(x) = d/dx(x^4 + 2x^3 - x + 1) = 4x^3 + 6x^2 - 1.
Correct Answer:
A
— 4x^3 + 6x^2 - 1
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Q. What is the determinant of F = [[2, 0], [0, 3]]? (2023)
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Solution
Determinant of F = (2*3) - (0*0) = 6.
Correct Answer:
D
— 6
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Q. What is the determinant of G = [[1, 1, 1], [1, 2, 3], [1, 3, 6]]? (2023)
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Solution
Det(G) = 1(2*6 - 3*3) - 1(1*6 - 1*3) + 1(1*3 - 1*2) = 1(12 - 9) - 1(6 - 3) + 1(3 - 2) = 3 - 3 + 1 = 1.
Correct Answer:
A
— 0
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Q. What is the determinant of G = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]? (2020)
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Solution
Det(G) = 1(5*9 - 6*8) - 2(4*9 - 6*7) + 3(4*8 - 5*7) = 1(45 - 48) - 2(36 - 42) + 3(32 - 35) = -3 + 12 - 9 = 0.
Correct Answer:
A
— 0
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Q. What is the determinant of G = [[1, 2], [2, 4]]? (2020)
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Solution
Determinant of G = (1*4) - (2*2) = 4 - 4 = 0.
Correct Answer:
A
— 0
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Q. What is the determinant of G = [[2, 1], [1, 2]]? (2021)
Show solution
Solution
Det(G) = (2*2) - (1*1) = 4 - 1 = 3.
Correct Answer:
B
— 2
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Q. What is the determinant of G = [[2, 2], [2, 2]]? (2020)
Show solution
Solution
Det(G) = (2*2) - (2*2) = 4 - 4 = 0.
Correct Answer:
A
— 0
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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.
