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. If the mass of the Earth is M and the radius is R, what is the gravitational force acting on a satellite of mass m at a height h?
A.
GmM/R^2
B.
GmM/(R+h)^2
C.
GmM/(R-h)^2
D.
GmM/h^2
Show solution
Solution
The gravitational force F acting on a satellite at height h is given by F = GmM/(R+h)^2, where G is the gravitational constant.
Correct Answer:
B
— GmM/(R+h)^2
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Q. If the mass of the Earth were to double while its radius remained the same, what would happen to the gravitational acceleration at its surface?
A.
It would double
B.
It would remain the same
C.
It would halve
D.
It would increase by a factor of four
Show solution
Solution
Gravitational acceleration is directly proportional to mass, so if the mass doubles, g also doubles.
Correct Answer:
A
— It would double
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Q. If the mass of the Earth were to double while its radius remains the same, what would happen to the gravitational acceleration at its surface?
A.
It would double
B.
It would remain the same
C.
It would halve
D.
It would increase by a factor of four
Show solution
Solution
Gravitational acceleration is directly proportional to mass; thus, if the mass doubles, g also doubles.
Correct Answer:
A
— It would double
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Q. If the mass of the Earth were to double while its radius remains the same, what would happen to the acceleration due to gravity? (2022)
A.
It would double
B.
It would remain the same
C.
It would halve
D.
It would increase by a factor of four
Show solution
Solution
If the mass of the Earth doubles, the acceleration due to gravity also doubles, as it is directly proportional to mass.
Correct Answer:
A
— It would double
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Q. If the mass of the Earth were to double while the radius remains the same, what would happen to the weight of an object on its surface?
A.
It would double
B.
It would remain the same
C.
It would increase by a factor of four
D.
It would decrease by half
Show solution
Solution
Weight is proportional to mass; thus, if the Earth's mass doubles, the weight of an object on its surface also doubles.
Correct Answer:
A
— It would double
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Q. If the mass of the Earth were to double, what would happen to the gravitational force it exerts on an object at its surface?
A.
It would double
B.
It would remain the same
C.
It would increase by a factor of four
D.
It would decrease by half
Show solution
Solution
If the mass of the Earth doubles, the gravitational force on an object at its surface would also double.
Correct Answer:
A
— It would double
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Q. If the mass of the Earth were to double, what would happen to the gravitational force between the Earth and an object on its surface?
A.
It would double
B.
It would remain the same
C.
It would halve
D.
It would quadruple
Show solution
Solution
F ∝ M; if M doubles, F also doubles.
Correct Answer:
A
— It would double
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Q. If the mass of the Earth were to double, what would happen to the gravitational force between two objects on its surface?
A.
It would double
B.
It would remain the same
C.
It would be halved
D.
It would quadruple
Show solution
Solution
F = G * (m1 * m2) / r², doubling the mass of Earth doubles the force.
Correct Answer:
A
— It would double
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Q. If the mass of the Earth were to double, what would happen to the gravitational force experienced by an object on its surface?
A.
It doubles
B.
It halves
C.
It quadruples
D.
It remains the same
Show solution
Solution
Gravitational force is directly proportional to mass. If mass doubles, force also doubles.
Correct Answer:
A
— It doubles
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Q. If the mass of the Earth were to double, what would happen to the weight of an object on its surface?
A.
It would double
B.
It would remain the same
C.
It would be halved
D.
It would be quartered
Show solution
Solution
Weight is directly proportional to mass. If the Earth's mass doubles, the weight of the object also doubles.
Correct Answer:
A
— It would double
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Q. If the mass of the Earth were to increase while the radius remains constant, what would happen to the gravitational force experienced by an object on its surface?
A.
It would decrease
B.
It would increase
C.
It would remain the same
D.
It would become zero
Show solution
Solution
If the mass of the Earth increases, the gravitational force experienced by an object on its surface would increase.
Correct Answer:
B
— It would increase
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Q. If the mean of 10 numbers is 50, what is the mean of the first 5 numbers if their sum is 200?
Show solution
Solution
Mean of 10 numbers = 50, so total sum = 500. Sum of last 5 numbers = 500 - 200 = 300. Mean of last 5 = 300 / 5 = 60.
Correct Answer:
D
— 60
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Q. If the mean of 12 numbers is 25, what is the sum of these numbers?
A.
250
B.
300
C.
275
D.
225
Show solution
Solution
The sum of the numbers is calculated as mean * number of items = 25 * 12 = 300.
Correct Answer:
A
— 250
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Q. If the mean of a data set is 10 and the number of observations is 5, what is the sum of the observations?
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Solution
Sum = Mean * Number of observations = 10 * 5 = 50.
Correct Answer:
A
— 50
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Q. If the mean of a data set is 12 and there are 8 values, what is the total sum of the values?
A.
80
B.
90
C.
100
D.
110
Show solution
Solution
Total sum = Mean * Number of values = 12 * 8 = 96.
Correct Answer:
A
— 80
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Q. If the mean of a data set is 15 and the standard deviation is 5, what is the variance? (2022)
Show solution
Solution
Variance is the square of the standard deviation. Therefore, variance = 5² = 25.
Correct Answer:
D
— 25
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Q. If the mean of a data set is 20 and the standard deviation is 4, what is the coefficient of variation?
A.
20%
B.
25%
C.
15%
D.
10%
Show solution
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (4 / 20) * 100 = 20%.
Correct Answer:
B
— 25%
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Q. If the mean of a data set is 20 and the standard deviation is 5, what is the variance?
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Solution
Variance = (Standard Deviation)² = 5² = 25.
Correct Answer:
D
— 25
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Q. If the mean of a data set is 20 and there are 10 values, what is the total sum of the values?
A.
200
B.
150
C.
100
D.
250
Show solution
Solution
Total sum = Mean * Number of values = 20 * 10 = 200
Correct Answer:
A
— 200
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Q. If the mean of a data set is 20 and there are 5 values, what is the total sum of the values? (2022)
Show solution
Solution
Total sum = Mean * Number of values = 20 * 5 = 100
Correct Answer:
A
— 100
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Q. If the mean of a data set is 30 and the standard deviation is 5, what is the variance? (2023)
Show solution
Solution
Variance is the square of the standard deviation. Therefore, variance = 5² = 25.
Correct Answer:
D
— 25
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Q. If the mean of a data set is 30 and there are 10 values, what is the total sum of the values?
A.
300
B.
310
C.
320
D.
330
Show solution
Solution
Total sum = Mean * Number of values = 30 * 10 = 300.
Correct Answer:
A
— 300
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Q. If the mean of a data set is 50 and the standard deviation is 10, what is the coefficient of variation?
A.
20%
B.
10%
C.
15%
D.
25%
Show solution
Solution
Coefficient of Variation = (Standard Deviation / Mean) * 100 = (10 / 50) * 100 = 20%.
Correct Answer:
A
— 20%
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Q. If the mean of a data set is 50 and the standard deviation is 10, what is the variance? (2023)
A.
50
B.
100
C.
150
D.
200
Show solution
Solution
Variance is the square of the standard deviation. Therefore, variance = 10² = 100.
Correct Answer:
B
— 100
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Q. If the mean of a data set is 50 and the variance is 25, what is the standard deviation? (2019)
Show solution
Solution
Standard deviation is the square root of variance. Therefore, SD = √25 = 5.
Correct Answer:
B
— 10
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Q. If the mean of a data set is 50 and there are 10 values, what is the total sum of the values?
A.
500
B.
600
C.
700
D.
800
Show solution
Solution
Total sum = Mean * Number of values = 50 * 10 = 500.
Correct Answer:
A
— 500
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Q. If the mean of a dataset is 50 and there are 10 numbers, what is the total sum of the numbers? (2021)
A.
500
B.
600
C.
550
D.
450
Show solution
Solution
Total sum = Mean * Number of elements = 50 * 10 = 500.
Correct Answer:
A
— 500
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Q. If the mean of a set of 10 numbers is 50, what is the mean if one number is increased by 10? (2021)
Show solution
Solution
The total sum is 500. Increasing one number by 10 gives a new total of 510. New mean = 510 / 10 = 51.
Correct Answer:
B
— 51
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Q. If the mean of a set of numbers is 12 and there are 6 numbers in the set, what is the total sum of the numbers?
Show solution
Solution
Total sum = Mean * Number of items = 12 * 6 = 72.
Correct Answer:
A
— 60
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Q. If the mean of a set of numbers is 12 and there are 6 numbers, what is the total sum of the numbers?
Show solution
Solution
Total sum = Mean * Number of items = 12 * 6 = 72.
Correct Answer:
A
— 60
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