Q. The coordinates of the centroid of a triangle with vertices at (2, 3), (4, 5), and (6, 7) are:
A.
(4, 5)
B.
(3, 4)
C.
(5, 6)
D.
(6, 5)
Show solution
Solution
Centroid = ((2+4+6)/3, (3+5+7)/3) = (4, 5).
Correct Answer:
B
— (3, 4)
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Q. The coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (3, 6) are:
A.
(3, 2)
B.
(2, 3)
C.
(3, 3)
D.
(0, 0)
Show solution
Solution
Centroid = ((0+6+3)/3, (0+0+6)/3) = (3, 2).
Correct Answer:
A
— (3, 2)
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Q. The coordinates of the centroid of the triangle with vertices (2, 3), (4, 5), and (6, 7) are:
A.
(4, 5)
B.
(3, 4)
C.
(5, 6)
D.
(6, 5)
Show solution
Solution
Centroid = ((2+4+6)/3, (3+5+7)/3) = (4, 5).
Correct Answer:
B
— (3, 4)
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Q. The coordinates of the foot of the perpendicular from the point (1, 2) to the line 2x + 3y = 6 are:
A.
(2, 0)
B.
(0, 2)
C.
(1, 1)
D.
(0, 0)
Show solution
Solution
Using the formula for foot of perpendicular, we find the coordinates to be (2, 0).
Correct Answer:
A
— (2, 0)
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Q. The coordinates of the foot of the perpendicular from the point (1, 2) to the line 3x + 4y = 12 are:
A.
(2, 1)
B.
(1, 2)
C.
(0, 3)
D.
(3, 0)
Show solution
Solution
Using the formula for foot of perpendicular, we find the coordinates to be (2, 1).
Correct Answer:
A
— (2, 1)
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Q. The coordinates of the foot of the perpendicular from the point (3, 4) to the line 2x + 3y - 6 = 0 are:
A.
(2, 0)
B.
(0, 2)
C.
(1, 1)
D.
(2, 2)
Show solution
Solution
Using the formula for foot of perpendicular, we find the coordinates to be (2, 0).
Correct Answer:
A
— (2, 0)
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Q. The coordinates of the foot of the perpendicular from the point (3, 4) to the line 2x + 3y = 6 are:
A.
(2, 0)
B.
(1, 2)
C.
(0, 2)
D.
(2, 2)
Show solution
Solution
Using the formula for foot of perpendicular, we find the coordinates to be (2, 0).
Correct Answer:
A
— (2, 0)
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Q. The critical angle for total internal reflection occurs when light travels from: (2019)
A.
Air to water
B.
Water to air
C.
Glass to air
D.
Air to glass
Show solution
Solution
The critical angle occurs when light travels from a denser medium (water) to a less dense medium (air).
Correct Answer:
B
— Water to air
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Q. The critical points of the function f(x) = x^3 - 6x^2 + 9x + 1 are:
A.
x = 1, 3
B.
x = 0, 2
C.
x = 2, 4
D.
x = 1, 2
Show solution
Solution
Finding f'(x) = 3x^2 - 12x + 9 and solving gives critical points at x = 1 and x = 3.
Correct Answer:
A
— x = 1, 3
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Q. The Dadasaheb Phalke Award is associated with which industry?
A.
Theater
B.
Television
C.
Film
D.
Literature
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Solution
The Dadasaheb Phalke Award is the highest award in Indian cinema.
Correct Answer:
C
— Film
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Q. The Dandi March of 1930 was a significant event in the Indian independence movement. What was its primary purpose? (1930)
A.
To protest against the Rowlatt Act
B.
To oppose the Simon Commission
C.
To defy the salt laws imposed by the British
D.
To demand the right to self-governance
Show solution
Solution
The Dandi March was primarily aimed at defying the salt laws imposed by the British, symbolizing the broader struggle for independence.
Correct Answer:
C
— To defy the salt laws imposed by the British
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Q. The Dandi March was a significant event in which movement? (1930)
A.
Non-Cooperation Movement
B.
Civil Disobedience Movement
C.
Quit India Movement
D.
Swadeshi Movement
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Solution
The Dandi March in 1930 was a key event in the Civil Disobedience Movement, led by Gandhi to protest against the salt tax.
Correct Answer:
B
— Civil Disobedience Movement
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Q. The Dandi March was a significant event in which year? (1930)
A.
1930
B.
1942
C.
1920
D.
1947
Show solution
Solution
The Dandi March took place in 1930 as a non-violent protest against the salt tax imposed by the British.
Correct Answer:
A
— 1930
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Q. The data is being analyzed by the researchers. (2023)
A.
Correct
B.
Incorrect
C.
Depends on context
D.
None of the above
Show solution
Solution
The sentence is correct. 'Data' can be treated as a singular mass noun in modern usage, hence 'is' is appropriate.
Correct Answer:
A
— Correct
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Q. The development of the printing press in the 15th century is most closely associated with which individual?
A.
Johannes Gutenberg
B.
Leonardo da Vinci
C.
Isaac Newton
D.
Galileo Galilei
Show solution
Solution
Johannes Gutenberg invented the printing press around 1440, which revolutionized the spread of information.
Correct Answer:
A
— Johannes Gutenberg
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Q. The Digital India initiative aims to transform India into a digitally empowered society and knowledge economy. What is one of its key components? (2015)
A.
Skill development
B.
Financial inclusion
C.
E-governance
D.
Rural development
Show solution
Solution
E-governance is a key component of the Digital India initiative, aimed at making government services accessible electronically.
Correct Answer:
C
— E-governance
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Q. The dimensional formula for energy is: (2020)
A.
[M^1 L^2 T^-2]
B.
[M^2 L^1 T^-2]
C.
[M^0 L^2 T^0]
D.
[M^1 L^0 T^-1]
Show solution
Solution
Energy is defined as work done, which has the dimensional formula [M^1 L^2 T^-2].
Correct Answer:
A
— [M^1 L^2 T^-2]
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Q. The dimensional formula for frequency is: (2023)
A.
[T^-1]
B.
[M^0 L^0 T^-1]
C.
[M^1 L^1 T^-1]
D.
[M^0 L^1 T^0]
Show solution
Solution
Frequency is defined as the number of cycles per unit time, hence its dimensional formula is [T^-1].
Correct Answer:
A
— [T^-1]
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Q. The dimensional formula for velocity is: (2022)
A.
[M^0 L^1 T^-1]
B.
[M^1 L^1 T^0]
C.
[M^1 L^0 T^-1]
D.
[M^0 L^0 T^1]
Show solution
Solution
Velocity is defined as displacement per unit time, hence its dimensional formula is [M^0 L^1 T^-1].
Correct Answer:
A
— [M^0 L^1 T^-1]
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Q. The dimensional formula for work is:
A.
[M^1 L^2 T^-2]
B.
[M^1 L^1 T^-1]
C.
[M^0 L^2 T^-1]
D.
[M^1 L^0 T^0]
Show solution
Solution
The dimensional formula for work is [M^1 L^2 T^-2].
Correct Answer:
A
— [M^1 L^2 T^-2]
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Q. The direction of induced current can be determined by which law? (2023)
A.
Lenz's Law
B.
Faraday's Law
C.
Ohm's Law
D.
Ampere's Law
Show solution
Solution
Lenz's Law states that the direction of induced current is such that it opposes the change in magnetic flux that produced it.
Correct Answer:
A
— Lenz's Law
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Q. The Directive Principles of State Policy are contained in which part of the Constitution?
A.
Part II
B.
Part III
C.
Part IV
D.
Part V
Show solution
Solution
The Directive Principles of State Policy are contained in Part IV of the Constitution.
Correct Answer:
C
— Part IV
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Q. The Directive Principles of State Policy are enshrined in which part of the Constitution? (2019)
A.
Part III
B.
Part IV
C.
Part V
D.
Part VI
Show solution
Solution
The Directive Principles of State Policy are contained in Part IV of the Indian Constitution.
Correct Answer:
B
— Part IV
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Q. The discovery of penicillin, which marked a significant advancement in medicine, was made by which scientist? (1928)
A.
Louis Pasteur
B.
Alexander Fleming
C.
Marie Curie
D.
Joseph Lister
Show solution
Solution
Alexander Fleming discovered penicillin in 1928, which led to the development of antibiotics.
Correct Answer:
B
— Alexander Fleming
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Q. The displacement of a simple harmonic oscillator is given by x(t) = A cos(ωt + φ). What is the maximum displacement?
Show solution
Solution
The maximum displacement in SHM is equal to the amplitude A.
Correct Answer:
A
— A
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Q. The distance from the point (1, 2) to the line 2x + 3y - 6 = 0 is:
Show solution
Solution
Distance = |2(1) + 3(2) - 6| / √(2² + 3²) = |2 + 6 - 6| / √13 = 2/√13.
Correct Answer:
B
— 2
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Q. The distance from the point (3, 4) to the line 2x + 3y - 6 = 0 is:
Show solution
Solution
Distance = |2(3) + 3(4) - 6| / √(2² + 3²) = |6 + 12 - 6| / √13 = 12/√13.
Correct Answer:
B
— 2
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Q. The documentary aimed to ______ the misconceptions surrounding climate change and present the facts.
A.
perpetuate
B.
clarify
C.
obscure
D.
complicate
Show solution
Solution
The word 'clarify' suggests that the documentary seeks to make the facts clear and understandable, which is the intended purpose.
Correct Answer:
B
— clarify
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Q. The documentary aimed to ______ the misconceptions surrounding mental health issues, fostering a more informed public discourse.
A.
perpetuate
B.
clarify
C.
obscure
D.
ignore
Show solution
Solution
The word 'clarify' fits well, as it suggests the documentary's goal is to make the topic clearer and more understandable.
Correct Answer:
B
— clarify
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Q. The documentary aimed to ______ the misconceptions surrounding mental health, providing a more nuanced understanding of the issues.
A.
perpetuate
B.
clarify
C.
obscure
D.
complicate
Show solution
Solution
The word 'clarify' indicates the intention to make the issues more understandable, contrasting with the other options.
Correct Answer:
B
— clarify
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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!
