Major Competitive Exams

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Q. The mean of 5, 15, and x is 10. What is the value of x? (2020)

A. 5
B. 10
C. 15
D. 20

Solution

Mean = (5 + 15 + x) / 3 = 10. Therefore, 20 + x = 30, so x = 10.

Correct Answer: D — 20

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Q. The mean of 6, 8, 10, and x is 9. What is the value of x? (2022)

A. 6
B. 8
C. 10
D. 12

Solution

Mean = (6 + 8 + 10 + x) / 4 = 9. Therefore, 24 + x = 36, so x = 12.

Correct Answer: D — 12

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Q. The mean of 7, 9, 11, 13, and x is 10. Find the value of x.

A. 5
B. 7
C. 9
D. 11

Solution

Mean = (7 + 9 + 11 + 13 + x) / 5 = 10. Solving gives x = 5.

Correct Answer: A — 5

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Q. The mean of 7, 9, 11, 13, and x is 10. What is the value of x?

A. 5
B. 7
C. 9
D. 11

Solution

Mean = (7 + 9 + 11 + 13 + x) / 5 = 10.\n\n40 + x = 50\n\nx = 50 - 40 = 10.

Correct Answer: A — 5

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Q. The mean of 7, 9, 11, and 13 is what? (2019)

A. 9
B. 10
C. 11
D. 12

Solution

Mean = (7 + 9 + 11 + 13) / 4 = 40 / 4 = 10.

Correct Answer: B — 10

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Q. The mean of 8, 12, 16, and 20 is what? (2019)

A. 14
B. 15
C. 16
D. 17

Solution

Mean = (8 + 12 + 16 + 20) / 4 = 56 / 4 = 14.

Correct Answer: B — 15

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Q. The mean of 8, 12, 16, and x is 14. Find the value of x.

A. 10
B. 12
C. 14
D. 16

Solution

Mean = (8 + 12 + 16 + x) / 4 = 14. Therefore, 36 + x = 56, so x = 20.

Correct Answer: A — 10

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Q. The mean of a data set is 10 and the variance is 4. What is the standard deviation? (2019)

A. 2
B. 4
C. 8
D. 10

Solution

Standard deviation is the square root of variance. Therefore, SD = √4 = 2.

Correct Answer: A — 2

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Q. The mean of a data set is 50 and the standard deviation is 5. What is the coefficient of variation?

A. 5%
B. 10%
C. 15%
D. 20%

Solution

Coefficient of Variation = (Standard Deviation / Mean) * 100 = (5 / 50) * 100 = 10%.

Correct Answer: B — 10%

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Q. The mean of a set of numbers is 15. If one number is removed, the mean becomes 12. What was the removed number?

A. 18
B. 20
C. 24
D. 30

Solution

Let the total number of items be n. Then, 15n - x = 12(n - 1). Solving gives x = 24.

Correct Answer: C — 24

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Q. The mean of a set of numbers is 25. If one number is increased by 5, how does the mean change?

A. Increases by 1
B. Increases by 0.5
C. Remains the same
D. Decreases by 1

Solution

Increasing one number by 5 increases the total sum by 5. If there are n numbers, the mean increases by 5/n.

Correct Answer: A — Increases by 1

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Q. The mean of a set of numbers is 30. If one more number, 50, is added to the set, what will be the new mean if the original set had 10 numbers?

A. 32
B. 33
C. 34
D. 35

Solution

The original sum of the numbers is 30 * 10 = 300. Adding 50 gives a new sum of 300 + 50 = 350. The new mean is 350 / 11 = 31.82, which rounds to 32.

Correct Answer: B — 33

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Q. The mean of five consecutive integers is 12. What is the smallest of these integers?

A. 10
B. 11
C. 12
D. 13

Solution

Let the integers be x, x+1, x+2, x+3, x+4. Mean = (5x + 10) / 5 = 12. Solving gives x = 10.

Correct Answer: A — 10

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Q. The mean of five numbers is 20. If one number is removed, the mean of the remaining numbers becomes 18. What is the number that was removed?

A. 10
B. 12
C. 14
D. 16

Solution

Let the sum of the five numbers be S. Then, S/5 = 20, so S = 100. Let the removed number be x. The new sum is S - x, and the new mean is (S - x)/4 = 18. Therefore, 100 - x = 72, which gives x = 28.

Correct Answer: C — 14

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Q. The mean of the first four prime numbers is what? (2019)

A. 2
B. 3
C. 5
D. 7

Solution

The first four prime numbers are 2, 3, 5, and 7. Mean = (2 + 3 + 5 + 7) / 4 = 17 / 4 = 4.25.

Correct Answer: C — 5

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Q. The mean of the numbers 4, 8, 10, 12, and x is 10. What is the value of x? (2021)

A. 10
B. 12
C. 14
D. 16

Solution

Mean = (4 + 8 + 10 + 12 + x) / 5 = 10. Solving gives x = 14.

Correct Answer: C — 14

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Q. The mean of the numbers 4, 8, 12, and x is 10. What is the value of x?

A. 10
B. 12
C. 16
D. 20

Solution

Mean = (4 + 8 + 12 + x) / 4 = 10. Therefore, 4 + 8 + 12 + x = 40. So, x = 40 - 24 = 16.

Correct Answer: C — 16

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Q. The mean of three consecutive integers is 20. What are the integers?

A. 19, 20, 21
B. 18, 19, 20
C. 20, 21, 22
D. 21, 22, 23

Solution

Let the integers be x, x+1, x+2. Mean = (x + (x+1) + (x+2)) / 3 = 20. Thus, 3x + 3 = 60, so x = 19.

Correct Answer: A — 19, 20, 21

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Q. The mean of three numbers is 12. If one of the numbers is 8, what is the mean of the other two numbers? (2021)

A. 10
B. 12
C. 14
D. 16

Solution

Total of three numbers = 3 * 12 = 36. Sum of the other two numbers = 36 - 8 = 28. Mean of the other two = 28 / 2 = 14.

Correct Answer: B — 12

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Q. The mean of three numbers is 15. If one number is increased by 5, what will be the new mean?

A. 15
B. 16
C. 17
D. 18

Solution

New mean = (15*3 + 5) / 3 = 20/3 = 16.67.

Correct Answer: B — 16

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Q. The mean of three numbers is 15. If one of the numbers is 10, what is the mean of the other two numbers? (2020)

A. 15
B. 20
C. 25
D. 10

Solution

Let the other two numbers be a and b. Then, (10 + a + b) / 3 = 15. Solving gives (a + b) = 35, so Mean of a and b = 35 / 2 = 17.5.

Correct Answer: B — 20

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Q. The mean of three numbers is 30. If one of the numbers is 20, what is the mean of the other two numbers? (2023)

A. 25
B. 30
C. 35
D. 40

Solution

Let the three numbers be a, b, c. Then, (a + b + 20) / 3 = 30. Thus, a + b = 90, and the mean of a and b = 90 / 2 = 45.

Correct Answer: A — 25

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Q. The measure of the average kinetic energy of the particles in a substance is called _____. (2021)

A. Temperature
B. Heat
C. Pressure
D. Volume

Solution

Temperature is a measure of the average kinetic energy of the particles in a substance.

Correct Answer: A — Temperature

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Q. The measure of the average kinetic energy of the particles in a substance is known as _____. (2021)

A. Temperature
B. Heat
C. Pressure
D. Volume

Solution

Temperature is a measure of the average kinetic energy of the particles in a substance.

Correct Answer: A — Temperature

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Q. The median of the data set 3, 7, 8, 12, x is 8. What is the value of x? (2023)

A. 6
B. 8
C. 10
D. 12

Solution

For the median to be 8, x must be less than or equal to 8. The only value that satisfies this is x = 6.

Correct Answer: A — 6

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Q. The median of the data set 3, 7, 9, 12, 15 is: (2022)

A. 7
B. 9
C. 12
D. 10

Solution

Median = 9 (middle value of the ordered data set)

Correct Answer: B — 9

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Q. The median of the data set: 2, 3, 5, 7, 11, 13 is?

A. 5
B. 6
C. 7
D. 8

Solution

Arranging the numbers: 2, 3, 5, 7, 11, 13. Median = (5 + 7) / 2 = 6.

Correct Answer: C — 7

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Q. The median of the following data set: 3, 7, 9, 15, 20 is?

A. 7
B. 9
C. 15
D. 20

Solution

Arranging the data: 3, 7, 9, 15, 20. Median = 9 (middle value).

Correct Answer: B — 9

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Q. The MGNREGA scheme provides how many days of guaranteed wage employment in a financial year? (2005)

A. 50 days
B. 100 days
C. 150 days
D. 200 days

Solution

The Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA) provides 100 days of guaranteed wage employment in a financial year.

Correct Answer: B — 100 days

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Q. The Mid-Day Meal Scheme in India was initiated to address which of the following issues? (1995)

A. Unemployment
B. Malnutrition
C. Illiteracy
D. Child Labor

Solution

The Mid-Day Meal Scheme was launched in 1995 to improve the nutritional status of school-age children and combat malnutrition.

Correct Answer: B — Malnutrition

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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!

Major Competitive Exams

Major Competitive Exams MCQ & Objective Questions

What You Will Practise Here

Exam Relevance

Common Mistakes Students Make

FAQs

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