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 data set has a mean of 50 and a median of 45, what can be said about the data distribution?
A.
Symmetric
B.
Positively skewed
C.
Negatively skewed
D.
Uniform
Show solution
Solution
Since the mean is greater than the median, the distribution is positively skewed.
Correct Answer:
B
— Positively skewed
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Q. If the data set has a mean of 50 and a standard deviation of 10, what is the z-score of the value 70?
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Solution
Z-score = (X - Mean) / Standard Deviation = (70 - 50) / 10 = 2.
Correct Answer:
B
— 2
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Q. If the data set has a mean of 50 and a variance of 16, what is the standard deviation?
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Solution
Standard Deviation = √Variance = √16 = 4.
Correct Answer:
B
— 4
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Q. If the data set is 1, 2, 2, 3, 4, 4, 4, 5, what is the mode?
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Solution
Mode = 4 (most frequent value).
Correct Answer:
C
— 4
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Q. If the data set is 2, 4, 6, 8, 10, 12, what is the median? (2021)
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Solution
The numbers are already in order. Since there are 6 numbers, the median is the average of the 3rd and 4th numbers: (6 + 8) / 2 = 7.
Correct Answer:
C
— 8
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Q. If the data set is 4, 4, 4, 5, 5, 6, what is the mode?
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Solution
Mode = 4 (most frequent value).
Correct Answer:
A
— 4
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Q. If the data set is 8, 8, 9, 10, 10, 10, 11, 12, what is the mode?
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Solution
The mode is 10, as it appears most frequently (three times) in the data set.
Correct Answer:
C
— 10
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Q. If the data set is {5, 7, 7, 8, 10}, what is the mode?
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Solution
Mode = 7 (most frequently occurring value).
Correct Answer:
B
— 7
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Q. If the data set is {5, 7, 8, 9, 10}, what is the interquartile range?
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Solution
Q1 = 7, Q3 = 9; Interquartile Range = Q3 - Q1 = 9 - 7 = 2.
Correct Answer:
B
— 3
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Q. If the data set is {5, 7, 8, 9, 10}, what is the standard deviation?
A.
1.58
B.
2.58
C.
3.58
D.
4.58
Show solution
Solution
Mean = 7.8. Variance = [(5-7.8)² + (7-7.8)² + (8-7.8)² + (9-7.8)² + (10-7.8)²]/5 = 2.5. Standard Deviation = √2.5 ≈ 1.58.
Correct Answer:
A
— 1.58
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Q. If the data set is: 2, 4, 4, 4, 5, 5, 7, 9, what is the variance? (2022)
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Solution
Mean = (2 + 4 + 4 + 4 + 5 + 5 + 7 + 9) / 8 = 5. Variance = [(2-5)² + (4-5)² + (4-5)² + (4-5)² + (5-5)² + (5-5)² + (7-5)² + (9-5)²] / 8 = 4.
Correct Answer:
C
— 6
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Q. If the data set is: 3, 7, 7, 19, what is the median?
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Solution
Median = (7 + 7) / 2 = 7.
Correct Answer:
A
— 7
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Q. If the data set is: 5, 5, 5, 5, what is the variance? (2019)
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Solution
All values are the same, so variance = 0.
Correct Answer:
A
— 0
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Q. If the data set is: 5, 7, 8, 9, 10, what is the median?
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Solution
Median is the middle value. Here, the middle values are 7 and 8, so Median = (7+8)/2 = 7.5.
Correct Answer:
B
— 8
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Q. If the data set is: 5, 7, 9, 11, what is the variance? (2022)
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Solution
Mean = (5 + 7 + 9 + 11) / 4 = 8. Variance = [(5-8)² + (7-8)² + (9-8)² + (11-8)²] / 4 = 5.
Correct Answer:
A
— 2
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Q. If the data set {1, 2, 3, 4, 5} is transformed to {2, 3, 4, 5, 6}, what happens to the standard deviation?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Cannot be determined
Show solution
Solution
The standard deviation remains the same because the transformation is a shift.
Correct Answer:
C
— Remains the same
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Q. If the data set {10, 20, 30, 40, 50} is transformed to {x + 5}, what happens to the standard deviation?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Cannot be determined
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Solution
Standard deviation remains the same as adding a constant does not affect dispersion.
Correct Answer:
C
— Remains the same
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Q. If the data set {3, 7, 8, 12, 14} has a median of 8, what is the first quartile?
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Solution
Q1 is the median of the first half of the data set {3, 7}, which is 7.
Correct Answer:
B
— 7
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Q. If the data set {3, 7, 8, 12, 14} is given, what is the median?
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Solution
Median is the middle value, which is 8.
Correct Answer:
A
— 8
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Q. If the data set {5, 7, 8, 9, 10} has a mean of 7.8, what is the sum of the deviations from the mean?
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Solution
The sum of deviations from the mean is always 0.
Correct Answer:
A
— 0
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Q. If the day before yesterday was Friday, what day will it be tomorrow? (2021)
A.
Saturday
B.
Sunday
C.
Monday
D.
Tuesday
Show solution
Solution
If today is Sunday, tomorrow will be Monday.
Correct Answer:
B
— Sunday
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Q. If the day before yesterday was Sunday, what day will it be tomorrow? (2023)
A.
Monday
B.
Tuesday
C.
Wednesday
D.
Thursday
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Solution
If the day before yesterday was Sunday, then today is Tuesday, and tomorrow will be Wednesday.
Correct Answer:
B
— Tuesday
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Q. If the decimal number 10 is converted to binary, what is the resulting binary number? (2023)
A.
1010
B.
1001
C.
1100
D.
1110
Show solution
Solution
The decimal number 10 is represented as 1010 in binary.
Correct Answer:
A
— 1010
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Q. If the decimal number 15 is converted to binary, what is the resulting binary number?
A.
1110
B.
1111
C.
1101
D.
1011
Show solution
Solution
The decimal number 15 is represented as 1111 in binary.
Correct Answer:
B
— 1111
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Q. If the decimal number 255 is converted to binary, what is the resulting binary number?
A.
11111111
B.
11011111
C.
10111111
D.
10011111
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Solution
The decimal number 255 converts to binary as 11111111.
Correct Answer:
A
— 11111111
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Q. If the demand for a product increases by 10% and the price increases by 5%, what is the price elasticity of demand?
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Solution
Price elasticity of demand = % change in quantity demanded / % change in price = 10% / 5% = 2
Correct Answer:
A
— 0.5
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Q. If the demand for a product increases by 10% and the supply remains constant, what will happen to the equilibrium price?
A.
Increase
B.
Decrease
C.
Remain the same
D.
Cannot be determined
Show solution
Solution
An increase in demand with constant supply leads to an increase in equilibrium price.
Correct Answer:
A
— Increase
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Q. If the demand for a product increases by 10% and the supply remains constant, what will happen to the price?
A.
Increase
B.
Decrease
C.
Remain the same
D.
Cannot be determined
Show solution
Solution
According to the law of demand, if demand increases and supply remains constant, the price will increase.
Correct Answer:
A
— Increase
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Q. If the demand for a product increases by 30% and the supply remains constant, what will happen to the price?
A.
Decrease
B.
Increase
C.
Remain the same
D.
Cannot be determined
Show solution
Solution
With constant supply and increased demand, the price will increase.
Correct Answer:
B
— Increase
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Q. If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the relative uncertainty?
A.
0.025
B.
0.02
C.
0.005
D.
0.01
Show solution
Solution
Relative uncertainty = (absolute uncertainty / density) = 0.2 / 8.0 = 0.025.
Correct Answer:
B
— 0.02
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