Major Competitive Exams MCQ & Objective Questions
Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.
What You Will Practise Here
Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams
Exam Relevance
The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.
Common Mistakes Students Make
Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam
FAQs
Question: How can I improve my performance in Major Competitive Exams?Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.
Question: What types of questions should I focus on for these exams?Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.
Question: Are there specific strategies for tackling objective questions?Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.
Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!
Q. What is the damping ratio for critically damped oscillation?
A.
Less than 1
B.
Equal to 1
C.
Greater than 1
D.
Zero
Show solution
Solution
A critically damped system has a damping ratio equal to 1, which allows it to return to equilibrium without oscillating.
Correct Answer:
B
— Equal to 1
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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
Show solution
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 de Broglie wavelength of an electron moving with a velocity of 1.5 x 10^6 m/s? (mass of electron = 9.11 x 10^-31 kg)
A.
4.86 x 10^-10 m
B.
2.42 x 10^-10 m
C.
1.33 x 10^-10 m
D.
6.63 x 10^-10 m
Show solution
Solution
The de Broglie wavelength λ = h/p = h/(mv). Using h = 6.63 x 10^-34 J.s, we find λ = 6.63 x 10^-34 / (9.11 x 10^-31 * 1.5 x 10^6) = 2.42 x 10^-10 m.
Correct Answer:
B
— 2.42 x 10^-10 m
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Q. What is the decibel level of a sound that is 10 times more intense than a reference sound at 0 dB?
A.
10 dB
B.
20 dB
C.
30 dB
D.
40 dB
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Solution
The decibel scale is logarithmic; a sound 10 times more intense is 10 dB.
Correct Answer:
A
— 10 dB
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Q. What is the decibel level of a sound that is 10 times more intense than the reference level?
A.
10 dB
B.
20 dB
C.
30 dB
D.
40 dB
Show solution
Solution
Every increase of 10 dB represents a tenfold increase in intensity, so 10 times more intense is 20 dB.
Correct Answer:
B
— 20 dB
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Q. What is the decibel level of a sound that is 10 times more intense than the reference level of 0 dB?
A.
10 dB
B.
20 dB
C.
30 dB
D.
40 dB
Show solution
Solution
A sound that is 10 times more intense than the reference level is 10 dB.
Correct Answer:
A
— 10 dB
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Q. What is the decibel level of a sound that is perceived as the threshold of hearing? (2022)
A.
0 dB
B.
10 dB
C.
20 dB
D.
30 dB
Show solution
Solution
The threshold of hearing is defined as 0 dB.
Correct Answer:
A
— 0 dB
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Q. What is the decimal equivalent of the base-3 number '2101'?
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Solution
'2101' in base-3 = 2*3^3 + 1*3^2 + 0*3^1 + 1*3^0 = 54 + 9 + 0 + 1 = 64.
Correct Answer:
A
— 19
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Q. What is the decimal equivalent of the base-4 number '132'?
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Solution
'132' in base-4 is 1*16 + 3*4 + 2 = 26.
Correct Answer:
A
— 26
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Q. What is the decimal equivalent of the base-8 number '57'?
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Solution
'57' in base-8 is 5*8 + 7 = 40 + 7 = 47 in decimal.
Correct Answer:
A
— 47
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Q. What is the decimal equivalent of the binary number '1101'?
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Solution
'1101' in binary is calculated as 1*2^3 + 1*2^2 + 0*2^1 + 1*2^0 = 8 + 4 + 0 + 1 = 13.
Correct Answer:
B
— 13
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Q. What is the decimal equivalent of the binary number 1010?
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Solution
The binary number 1010 is equivalent to the decimal number 10.
Correct Answer:
B
— 10
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Q. What is the decimal equivalent of the binary number 1011?
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Solution
The binary number 1011 is equal to 1*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 8 + 0 + 2 + 1 = 11.
Correct Answer:
C
— 11
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Q. What is the default file extension for a PowerPoint presentation? (2023)
A.
.ppt
B.
.pptx
C.
.docx
D.
.xlsx
Show solution
Solution
The default file extension for a PowerPoint presentation is '.pptx'.
Correct Answer:
B
— .pptx
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Q. What is the default file extension for a Word document? (2023)
A.
.doc
B.
.docx
C.
.txt
D.
.pdf
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Solution
The default file extension for a Word document is .docx since Word 2007.
Correct Answer:
B
— .docx
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Q. What is the definition of Young's modulus?
A.
The ratio of tensile stress to tensile strain
B.
The ratio of compressive stress to compressive strain
C.
The ratio of shear stress to shear strain
D.
The ratio of bulk stress to bulk strain
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Solution
Young's modulus is defined as the ratio of tensile stress to tensile strain, which measures the stiffness of a solid material.
Correct Answer:
A
— The ratio of tensile stress to tensile strain
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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
Show solution
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?
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) = 3x^2 + 5x - 7? (2021) 2021
A.
3x + 5
B.
6x + 5
C.
6x - 5
D.
3x^2 + 5
Show solution
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) = 3x^3 - 5x + 2?
A.
9x^2 - 5
B.
3x^2 - 5
C.
9x^2 + 5
D.
3x^2 + 5
Show solution
Solution
f'(x) = 9x^2 - 5.
Correct Answer:
A
— 9x^2 - 5
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Q. What is the derivative of f(x) = 3x^4 - 5x^2 + 2? (2021)
A.
12x^3 - 10x
B.
12x^3 - 5
C.
6x^3 - 5x
D.
3x^3 - 5
Show solution
Solution
Using the power rule, f'(x) = 12x^3 - 10x.
Correct Answer:
A
— 12x^3 - 10x
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Q. What is the derivative of f(x) = 3x^4 - 5x^3 + 2x - 7?
A.
12x^3 - 15x^2 + 2
B.
12x^3 - 15x^2 - 2
C.
3x^3 - 5x^2 + 2
D.
3x^3 - 5x^2 - 2
Show solution
Solution
Using the power rule, f'(x) = 12x^3 - 15x^2 + 2.
Correct Answer:
A
— 12x^3 - 15x^2 + 2
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Q. What is the derivative of f(x) = 4/x? (2022)
A.
-4/x^2
B.
4/x^2
C.
-4/x
D.
4/x
Show solution
Solution
Using the power rule, f'(x) = -4/x^2.
Correct Answer:
A
— -4/x^2
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Q. What is the derivative of f(x) = 5x^2 - 4x + 3?
A.
10x - 4
B.
10x + 4
C.
5x - 4
D.
5x + 4
Show solution
Solution
Using the power rule, f'(x) = 10x - 4.
Correct Answer:
A
— 10x - 4
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Q. What is the derivative of f(x) = 5x^3 - 2x + 1? (2023)
A.
15x^2 - 2
B.
5x^2 - 2
C.
15x^3 - 2
D.
5x^3 - 2
Show solution
Solution
The derivative f'(x) = 15x^2 - 2.
Correct Answer:
A
— 15x^2 - 2
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Q. What is the derivative of f(x) = 5x^4 - 3x + 2?
A.
20x^3 - 3
B.
20x^3 + 3
C.
15x^3 - 3
D.
5x^3 - 3
Show solution
Solution
The derivative f'(x) = d/dx(5x^4 - 3x + 2) = 20x^3 - 3.
Correct Answer:
A
— 20x^3 - 3
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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) = 5x^5 - 3x + 7? (2020)
A.
25x^4 - 3
B.
15x^4 - 3
C.
5x^4 - 3
D.
20x^4 - 3
Show solution
Solution
Using the power rule, f'(x) = 25x^4 - 3.
Correct Answer:
A
— 25x^4 - 3
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Q. What is the derivative of f(x) = 7x^2 + 2x - 5? (2023)
A.
14x + 2
B.
14x - 2
C.
7x + 2
D.
2x - 5
Show solution
Solution
Using the power rule, f'(x) = 14x + 2.
Correct Answer:
A
— 14x + 2
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