Q. What is the value of the 5th term in the expansion of (3x - 2)^6? (2023)
A.
-540
B.
540
C.
720
D.
360
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Solution
The 5th term is given by C(6,4) * (3x)^4 * (-2)^2 = 15 * 81 * 4 = -4860.
Correct Answer:
A
— -540
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Q. What is the value of the azimuthal quantum number (l) for a d orbital? (2021) 2021
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Solution
The azimuthal quantum number l for d orbitals is 2.
Correct Answer:
C
— 2
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Q. What is the value of the azimuthal quantum number (l) for a p-orbital? (2015)
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Solution
The azimuthal quantum number (l) for a p-orbital is 1.
Correct Answer:
B
— 1
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Q. What is the value of the coefficient of x^4 in the expansion of (x - 2)^6? (2023)
A.
-15
B.
-60
C.
-90
D.
-120
Show solution
Solution
The coefficient of x^4 is C(6,4) * (-2)^2 = 15 * 4 = -60.
Correct Answer:
B
— -60
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Q. What is the value of the coefficient of x^5 in the expansion of (x + 1/2)^8?
A.
56
B.
112
C.
128
D.
64
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Solution
The coefficient of x^5 is given by 8C5 * (1/2)^3 = 56 * 1/8 = 7.
Correct Answer:
A
— 56
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Q. What is the value of the coefficient of x^5 in the expansion of (x + 2)^7?
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Solution
The coefficient of x^5 is given by 7C5 * (2)^2 = 21 * 4 = 84.
Correct Answer:
C
— 56
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Q. What is the value of the determinant of the matrix B = [[2, 3], [5, 7]]? (2020)
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Solution
Determinant of B = (2*7) - (3*5) = 14 - 15 = -1.
Correct Answer:
C
— 11
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Q. What is the value of the determinant of the matrix B = [[5, 1], [2, 3]]? (2022)
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Solution
Determinant of B = (5*3) - (1*2) = 15 - 2 = 13.
Correct Answer:
A
— 10
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Q. What is the value of the discriminant for the equation 3x² + 6x + 2 = 0? (2020)
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Solution
The discriminant D = b² - 4ac = 6² - 4*3*2 = 36 - 24 = 12.
Correct Answer:
B
— 4
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Q. What is the value of the discriminant for the equation 3x² - 12x + 12 = 0? (2020)
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Solution
The discriminant D = b² - 4ac = (-12)² - 4*3*12 = 144 - 144 = 0.
Correct Answer:
A
— 0
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Q. What is the value of the discriminant for the equation x² - 2x + 1 = 0? (2022)
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Solution
The discriminant is b² - 4ac = (-2)² - 4*1*1 = 0.
Correct Answer:
A
— 0
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Q. What is the value of the discriminant for the equation x² - 4x + 4 = 0? (2022)
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Solution
The discriminant is b² - 4ac = (-4)² - 4*1*4 = 0.
Correct Answer:
A
— 0
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Q. What is the value of the term containing x^4 in the expansion of (x + 1/2)^8? (2020)
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Solution
The term containing x^4 is C(8,4) * (1/2)^4 = 70 * 1/16 = 4.375.
Correct Answer:
A
— 70
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Q. What is the value of the term containing x^5 in the expansion of (x + 1/2)^8? (2020)
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Solution
The term containing x^5 is C(8,5)(1/2)^3 = 56 * 1/8 = 7.
Correct Answer:
B
— 56
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Q. What is the value of the term containing x^5 in the expansion of (x + 2)^8? (2020)
A.
112
B.
128
C.
256
D.
64
Show solution
Solution
The term containing x^5 is C(8,5)(2)^3 = 56 * 8 = 448.
Correct Answer:
B
— 128
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Q. What is the value of x where f(x) = x^3 - 3x has a local maximum? (2022)
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Solution
f'(x) = 3x^2 - 3. Setting f'(x) = 0 gives x = ±1. f(1) = -2.
Correct Answer:
C
— 1
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Q. What is the value of \( \begin{vmatrix} 2 & 1 \\ 3 & 4 \end{vmatrix} \)? (2022)
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Solution
The determinant is calculated as \( 2*4 - 1*3 = 8 - 3 = 5 \).
Correct Answer:
A
— 5
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Q. What is the value of \( |D| \) for the matrix \( D = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix} \)? (2023)
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Solution
The determinant is \( 0*0 - 1*1 = 0 - 1 = -1 \).
Correct Answer:
A
— 1
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Q. What is the value of \( |H| \) for \( H = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \)? (2021)
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Solution
The determinant of the identity matrix is always 1.
Correct Answer:
B
— 1
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Q. What is the vertex of the parabola represented by the equation y = x² - 4x + 3? (2022)
A.
(2, -1)
B.
(2, 1)
C.
(1, 2)
D.
(3, 0)
Show solution
Solution
The vertex can be found using the formula x = -b/2a. Here, x = 2, and substituting back gives y = -1.
Correct Answer:
A
— (2, -1)
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Q. What is the vertex of the parabola represented by the equation y = x² - 6x + 8? (2023)
A.
(3, -1)
B.
(3, -5)
C.
(2, -4)
D.
(2, -2)
Show solution
Solution
The vertex can be found using the formula x = -b/2a = 6/2 = 3. Substituting x = 3 into the equation gives y = -1.
Correct Answer:
A
— (3, -1)
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Q. What is the voltage across a 10Ω resistor carrying a current of 3A? (2022)
A.
30V
B.
20V
C.
10V
D.
15V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 10Ω = 30V.
Correct Answer:
A
— 30V
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Q. What is the voltage across a 12Ω resistor carrying a current of 1.5A? (2023)
A.
18V
B.
12V
C.
6V
D.
24V
Show solution
Solution
Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.
Correct Answer:
A
— 18V
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Q. What is the voltage across a 12Ω resistor carrying a current of 3A? (2023)
A.
36V
B.
24V
C.
12V
D.
18V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 12Ω = 36V.
Correct Answer:
A
— 36V
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Q. What is the voltage across a 5Ω resistor carrying a current of 3A? (2023)
A.
15V
B.
10V
C.
5V
D.
20V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 5Ω = 15V.
Correct Answer:
A
— 15V
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Q. What is the voltage across a 5Ω resistor if a current of 3A flows through it? (2020)
A.
15V
B.
10V
C.
5V
D.
20V
Show solution
Solution
Using Ohm's law, V = IR = 3A * 5Ω = 15V.
Correct Answer:
A
— 15V
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Q. What is the volume of 0.2 M NaOH required to neutralize 0.1 M HCl in 250 mL? (2020)
A.
125 mL
B.
250 mL
C.
500 mL
D.
100 mL
Show solution
Solution
Using the formula M1V1 = M2V2, (0.1 M)(0.25 L) = (0.2 M)(V2). V2 = 0.125 L = 125 mL.
Correct Answer:
A
— 125 mL
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Q. What is the volume of 1 M HCl solution needed to obtain 0.5 moles of HCl? (2022)
A.
0.5 L
B.
1 L
C.
2 L
D.
0.25 L
Show solution
Solution
Volume = moles / molarity = 0.5 moles / 1 M = 0.5 L.
Correct Answer:
A
— 0.5 L
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Q. What is the volume of 1 mole of an ideal gas at STP? (2019) 2019
A.
22.4 L
B.
24 L
C.
1 L
D.
10 L
Show solution
Solution
At STP, 1 mole of an ideal gas occupies 22.4 liters.
Correct Answer:
A
— 22.4 L
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Q. What is the volume of a 2 M NaOH solution needed to obtain 4 moles of NaOH? (2021) 2021
A.
2 L
B.
1 L
C.
0.5 L
D.
4 L
Show solution
Solution
Volume (L) = moles / molarity = 4 moles / 2 M = 2 L.
Correct Answer:
A
— 2 L
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Showing 2221 to 2250 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.
