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 sum of the roots of the equation 3x^2 - 12x + 9 = 0?
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Solution
Using Vieta's formulas, the sum of the roots is -(-12)/3 = 4.
Correct Answer:
B
— 4
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Q. What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)
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Solution
The sum of the roots is given by -b/a = -12/3 = -4.
Correct Answer:
A
— -4
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Q. What is the sum of the roots of the equation f(x) = x^2 - 5x + 6?
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Solution
The sum of the roots of ax^2 + bx + c = 0 is -b/a. Here, sum = 5.
Correct Answer:
A
— 5
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Q. What is the sum of the roots of the equation x^2 - 4x + 3 = 0?
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Solution
The sum of the roots is given by -b/a = 4/1 = 4.
Correct Answer:
D
— 4
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Q. What is the sum of the roots of the equation x² - 5x + 6 = 0? (2022)
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Solution
The sum of the roots is given by -b/a = 5/1 = 5.
Correct Answer:
A
— 5
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Q. What is the sum of the roots of the quadratic equation 2x^2 - 3x + 1 = 0?
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Solution
The sum of the roots is given by -b/a = 3/2.
Correct Answer:
B
— 3/2
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Q. What is the sum of the roots of the quadratic equation 2x^2 - 4x + 1 = 0?
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Solution
The sum of the roots of a quadratic equation ax^2 + bx + c = 0 is given by -b/a. Here, it is -(-4)/2 = 2.
Correct Answer:
A
— 2
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Q. What is the sum of the roots of the quadratic equation 2x^2 - 8x + 6 = 0?
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Solution
The sum of the roots is given by -b/a = 8/2 = 4.
Correct Answer:
B
— 4
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Q. What is the sum of the roots of the quadratic equation f(x) = x^2 - 5x + 6?
Show solution
Solution
The sum of the roots is given by -b/a = 5/1 = 5.
Correct Answer:
A
— 5
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Q. What is the sum of the roots of the quadratic equation x^2 - 4x + 3 = 0?
Show solution
Solution
The sum of the roots is given by -b/a = 4/1 = 4.
Correct Answer:
D
— 4
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Q. What is the sum of the roots of the quadratic equation x^2 - 5x + 6 = 0?
Show solution
Solution
The sum of the roots is given by -b/a = 5/1 = 5.
Correct Answer:
A
— 5
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Q. What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?
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Solution
The sum of the roots is given by -b/a = 7/1 = 7.
Correct Answer:
C
— 7
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Q. What is the sum of the squares of the roots of the equation x^2 - 5x + 6 = 0?
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Solution
The sum of the squares of the roots is given by (sum of roots)^2 - 2(product of roots). Here, sum = 5, product = 6. So, 5^2 - 2*6 = 25 - 12 = 13.
Correct Answer:
B
— 19
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Q. What is the summary of the article on renewable energy sources?
A.
Renewable energy sources are expensive and inefficient.
B.
The transition to renewable energy is essential for sustainability.
C.
Fossil fuels are still the best energy option.
D.
Renewable energy sources are only beneficial in developed countries.
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Solution
The article emphasizes the importance of transitioning to renewable energy for sustainable development, making this the main summary.
Correct Answer:
B
— The transition to renewable energy is essential for sustainability.
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Q. What is the summary of the article on the benefits of a plant-based diet? (2023)
A.
Plant-based diets are expensive and hard to maintain.
B.
Plant-based diets can lead to better health and environmental sustainability.
C.
Plant-based diets are only beneficial for weight loss.
D.
Plant-based diets are not suitable for athletes.
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Solution
The article outlines various health benefits and environmental advantages of adopting a plant-based diet, summarizing its positive impact.
Correct Answer:
B
— Plant-based diets can lead to better health and environmental sustainability.
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Q. What is the supreme law of the land in India? (2020)
A.
The Constitution of India
B.
The Indian Penal Code
C.
The Directive Principles of State Policy
D.
The Fundamental Rights
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Solution
The Constitution of India is the supreme law of the land, providing the framework for political principles, procedures, and powers.
Correct Answer:
A
— The Constitution of India
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Q. What is the surface area of a cone with a radius of 3 cm and a slant height of 5 cm?
A.
37.68 cm²
B.
28.26 cm²
C.
47.12 cm²
D.
50.27 cm²
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Solution
Surface Area = πr(l + r) = π(3)(5 + 3) = 24π ≈ 75.40 cm².
Correct Answer:
A
— 37.68 cm²
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Q. What is the surface area of a cube with a side length of 5 cm? (2021)
A.
50 cm²
B.
75 cm²
C.
100 cm²
D.
125 cm²
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Solution
Surface area = 6 * (side)² = 6 * (5)² = 6 * 25 = 150 cm².
Correct Answer:
C
— 100 cm²
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Q. What is the surface area of a cylinder with a radius of 3 cm and height of 10 cm?
A.
60π cm²
B.
30π cm²
C.
90π cm²
D.
120π cm²
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Solution
Surface Area = 2πr(h + r) = 2π × 3 cm × (10 cm + 3 cm) = 60π cm².
Correct Answer:
A
— 60π cm²
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Q. What is the surface area of a cylinder with a radius of 3 cm and height of 5 cm?
A.
54π cm²
B.
30π cm²
C.
36π cm²
D.
60π cm²
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Solution
Surface Area = 2πr(h + r) = 2π × 3 cm × (5 cm + 3 cm) = 54π cm².
Correct Answer:
A
— 54π cm²
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Q. What is the surface area of a cylinder with radius 3 cm and height 5 cm?
A.
54π cm²
B.
30π cm²
C.
36π cm²
D.
18π cm²
Show solution
Solution
Surface Area = 2πr(h + r) = 2π × 3 cm × (5 cm + 3 cm) = 54π cm².
Correct Answer:
A
— 54π cm²
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Q. What is the surface area of a rectangular prism with dimensions 2 cm, 3 cm, and 4 cm?
A.
22 cm²
B.
24 cm²
C.
26 cm²
D.
28 cm²
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Solution
Surface Area = 2(lw + lh + wh) = 2(2*3 + 2*4 + 3*4) = 2(6 + 8 + 12) = 52 cm²
Correct Answer:
B
— 24 cm²
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Q. What is the surface area of a rectangular prism with dimensions 3 cm, 4 cm, and 5 cm?
A.
47 cm²
B.
60 cm²
C.
70 cm²
D.
50 cm²
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Solution
Surface Area = 2(lw + lh + wh) = 2(3*4 + 3*5 + 4*5) = 2(12 + 15 + 20) = 2(47) = 94 cm².
Correct Answer:
B
— 60 cm²
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Q. What is the surface area of a rectangular prism with length 10 cm, width 5 cm, and height 2 cm?
A.
70 cm²
B.
60 cm²
C.
100 cm²
D.
80 cm²
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Solution
Surface Area = 2(lw + lh + wh) = 2(10*5 + 10*2 + 5*2) = 2(50 + 20 + 10) = 2(80) = 160 cm².
Correct Answer:
A
— 70 cm²
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Q. What is the surface area of a rectangular prism with length 5 cm, width 3 cm, and height 2 cm?
A.
30 cm²
B.
40 cm²
C.
50 cm²
D.
60 cm²
Show solution
Solution
Surface Area = 2(lw + lh + wh) = 2(5*3 + 5*2 + 3*2) = 2(15 + 10 + 6) = 2(31) = 62 cm².
Correct Answer:
A
— 30 cm²
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Q. What is the symbol for Gold?
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Solution
The symbol for Gold is Au.
Correct Answer:
A
— Au
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Q. What is the synonym of 'abundant'?
A.
scarce
B.
plentiful
C.
meager
D.
insufficient
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Solution
'Abundant' means plentiful or existing in large quantities. Therefore, the synonym is 'plentiful'.
Correct Answer:
B
— plentiful
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Q. What is the synonym of 'Benevolent'?
A.
Malevolent
B.
Kind
C.
Cruel
D.
Selfish
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Solution
'Kind' is synonymous with 'Benevolent', which means well-meaning and kindly.
Correct Answer:
B
— Kind
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Q. What is the synonym of 'brave'? (2020)
A.
Cowardly
B.
Fearful
C.
Courageous
D.
Timid
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Solution
'Courageous' is a synonym of 'brave', both describing someone who shows courage.
Correct Answer:
C
— Courageous
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Q. What is the synonym of 'calm'?
A.
Agitated
B.
Tranquil
C.
Nervous
D.
Excited
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Solution
'Tranquil' is a synonym of 'calm'.
Correct Answer:
B
— Tranquil
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