Q. What is the area of a circle with a diameter of 10 cm? (2023)
A.
25π cm²
B.
50π cm²
C.
75π cm²
D.
100π cm²
Show solution
Solution
Radius = diameter/2 = 10/2 = 5 cm. Area = πr² = π(5)² = 25π cm².
Correct Answer:
A
— 25π cm²
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Q. What is the area of a circle with a diameter of 10 units?
A.
25π square units
B.
50π square units
C.
100π square units
D.
75π square units
Show solution
Solution
Area = π * (radius^2) = π * (5^2) = 25π square units.
Correct Answer:
A
— 25π square units
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Q. What is the area of a circle with a diameter of 10 units? (Use π ≈ 3.14)
A.
78.5 square units
B.
31.4 square units
C.
50 square units
D.
100 square units
Show solution
Solution
Area = πr². The radius r = diameter / 2 = 10 / 2 = 5 units. Area = 3.14 * 5² = 3.14 * 25 = 78.5 square units.
Correct Answer:
A
— 78.5 square units
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Q. What is the area of a circle with a diameter of 16 cm? (2023) 2023
A.
64π cm²
B.
32π cm²
C.
16π cm²
D.
8π cm²
Show solution
Solution
Radius = diameter/2 = 16/2 = 8 cm. Area = πr² = π(8)² = 64π cm².
Correct Answer:
A
— 64π cm²
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Q. What is the area of a circle with a diameter of 16 cm? (Use π = 3.14) (2022)
A.
201.06 cm²
B.
100.48 cm²
C.
50.24 cm²
D.
25.12 cm²
Show solution
Solution
Radius = diameter/2 = 16 cm / 2 = 8 cm. Area = πr² = 3.14 * 8² = 201.06 cm².
Correct Answer:
A
— 201.06 cm²
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Q. What is the area of a circle with a radius of 10 m? (2023)
A.
314 m²
B.
100 m²
C.
200 m²
D.
150 m²
Show solution
Solution
Area = πr² = π * 10² = 314 m².
Correct Answer:
A
— 314 m²
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Q. What is the area of a circle with a radius of 10?
A.
100π
B.
50π
C.
25π
D.
200π
Show solution
Solution
The area of a circle is given by A = πr², so A = π(10)² = 100π.
Correct Answer:
A
— 100π
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Q. What is the area of a circle with a radius of 3 cm? (2021)
A.
28.26 cm²
B.
9.42 cm²
C.
12.56 cm²
D.
18.84 cm²
Show solution
Solution
Area = πr² = π * 3² = 28.26 cm².
Correct Answer:
C
— 12.56 cm²
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Q. What is the area of a circle with a radius of 3 cm? (Use π ≈ 3.14)
A.
28.26 cm²
B.
9.42 cm²
C.
18.84 cm²
D.
12.56 cm²
Show solution
Solution
Area = π * radius² = 3.14 * 3² = 3.14 * 9 = 28.26 cm².
Correct Answer:
A
— 28.26 cm²
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Q. What is the area of a circle with a radius of 3 m? (2020)
A.
28.26 m²
B.
9.42 m²
C.
18.84 m²
D.
12.56 m²
Show solution
Solution
Area = πr²; = π * 3² = 28.26 m².
Correct Answer:
A
— 28.26 m²
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Q. What is the area of a circle with a radius of 4 cm? (Use π = 3.14) (2022)
A.
50.24 cm²
B.
25.12 cm²
C.
12.56 cm²
D.
31.36 cm²
Show solution
Solution
Area = πr² = 3.14 * (4)² = 3.14 * 16 = 50.24 cm²
Correct Answer:
A
— 50.24 cm²
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Q. What is the area of a circle with a radius of 7 cm?
A.
154 cm²
B.
49 cm²
C.
28 cm²
D.
100 cm²
Show solution
Solution
The area of a circle is given by A = πr². Thus, A = π(7)² = 49π ≈ 154 cm².
Correct Answer:
A
— 154 cm²
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Q. What is the area of a circle with a radius of 7 cm? (Use π = 22/7) (2019)
A.
154 cm²
B.
44 cm²
C.
77 cm²
D.
88 cm²
Show solution
Solution
Area = πr² = (22/7) × (7)² = (22/7) × 49 = 154 cm².
Correct Answer:
A
— 154 cm²
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Q. What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14)
A.
154 cm²
B.
100 cm²
C.
44 cm²
D.
78.5 cm²
Show solution
Solution
Area = πr² = 3.14 × (7)² = 3.14 × 49 = 153.86 cm², approximately 154 cm².
Correct Answer:
A
— 154 cm²
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Q. What is the area of a circle with a radius of 7?
A.
49π
B.
14π
C.
21π
D.
28π
Show solution
Solution
The area of a circle is given by A = πr², so A = π(7)² = 49π.
Correct Answer:
A
— 49π
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Q. What is the area of a circle with radius 7? (2022)
A.
154
B.
144
C.
160
D.
150
Show solution
Solution
Area = πr^2 = π(7^2) = 49π ≈ 154.
Correct Answer:
A
— 154
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Q. What is the area of a circle with radius r?
A.
πr^2
B.
2πr
C.
πr
D.
r^2
Show solution
Solution
The area of a circle is given by the formula A = πr^2.
Correct Answer:
A
— πr^2
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Q. What is the area of a quadrilateral with vertices at (0,0), (4,0), (4,3), and (0,3)?
A.
12 square units
B.
10 square units
C.
15 square units
D.
20 square units
Show solution
Solution
The area can be calculated as length × width = 4 × 3 = 12 square units.
Correct Answer:
A
— 12 square units
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Q. What is the area of a rectangle with a length of 8 units and a width of 3 units?
A.
24 square units
B.
11 square units
C.
30 square units
D.
20 square units
Show solution
Solution
The area of a rectangle is given by the formula length * width. Thus, 8 * 3 = 24 square units.
Correct Answer:
A
— 24 square units
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Q. What is the area of a rectangle with length 8 cm and width 3 cm? (2021)
A.
24 cm²
B.
30 cm²
C.
20 cm²
D.
18 cm²
Show solution
Solution
Area = length × width = 8 cm × 3 cm = 24 cm².
Correct Answer:
A
— 24 cm²
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Q. What is the area of a rectangle with vertices at (1, 1), (1, 5), (4, 1), and (4, 5)? (2021)
Show solution
Solution
Area = length * width = (4-1) * (5-1) = 3 * 4 = 12.
Correct Answer:
A
— 12
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Q. What is the area of a regular pentagon with a side length of 6 units? (2023)
A.
15√5
B.
30
C.
18√5
D.
36
Show solution
Solution
The area of a regular pentagon can be calculated using the formula (1/4)√(5(5 + 2√5)) * s². For s = 6, the area is approximately 15√5.
Correct Answer:
A
— 15√5
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Q. What is the area of a rhombus with diagonals measuring 10 cm and 24 cm?
A.
120 cm²
B.
60 cm²
C.
80 cm²
D.
100 cm²
Show solution
Solution
Area of a rhombus = (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².
Correct Answer:
A
— 120 cm²
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Q. What is the area of a right triangle with legs measuring 6 and 8?
Show solution
Solution
Area = (1/2) * base * height = (1/2) * 6 * 8 = 24.
Correct Answer:
A
— 24
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Q. What is the area of a sector of a circle with a radius of 4 cm and a central angle of 90 degrees? (2014)
A.
6.28 cm²
B.
12.56 cm²
C.
3.14 cm²
D.
9.42 cm²
Show solution
Solution
Area of sector = (θ/360) * πr²; = (90/360) * π * 4² = 12.56 cm².
Correct Answer:
B
— 12.56 cm²
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Q. What is the area of a sector of a circle with a radius of 4 cm and an angle of 90 degrees? (2023)
A.
4π cm²
B.
2π cm²
C.
8π cm²
D.
6π cm²
Show solution
Solution
Area of sector = (θ/360) × πr²; = (90/360) × π(4)² = 2π cm².
Correct Answer:
B
— 2π cm²
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Q. What is the area of a sector of a circle with a radius of 7 cm and an angle of 90 degrees? (2022)
A.
38.5 cm²
B.
12.25 cm²
C.
15.4 cm²
D.
25.5 cm²
Show solution
Solution
Area of sector = (θ/360) * πr² = (90/360) * π * 7² = 38.5 cm².
Correct Answer:
A
— 38.5 cm²
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Q. What is the area of a sector of a circle with radius 10 cm and angle 90 degrees? (2022)
A.
25π cm²
B.
50π cm²
C.
100π cm²
D.
75π cm²
Show solution
Solution
Area of sector = (θ/360) × πr² = (90/360) × π × 10² = (1/4) × 100π = 25π cm².
Correct Answer:
A
— 25π cm²
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Q. What is the area of a sector of a circle with radius 6 cm and a central angle of 90 degrees? (2023)
A.
9π cm²
B.
12π cm²
C.
18π cm²
D.
6π cm²
Show solution
Solution
Area of sector = (θ/360) × πr² = (90/360) × π × 6² = (1/4) × 36π = 9π cm².
Correct Answer:
A
— 9π cm²
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Q. What is the area of a sector of a circle with radius 6 cm and angle 90 degrees? (2021)
A.
9π cm²
B.
12π cm²
C.
18π cm²
D.
6π cm²
Show solution
Solution
Area of sector = (θ/360) × πr² = (90/360) × π(6)² = (1/4) × 36π = 9π cm².
Correct Answer:
A
— 9π cm²
Learn More →
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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!
