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Management Admissions

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Management Admissions MCQ & Objective Questions

Management Admissions play a crucial role in shaping your academic journey and career path. Understanding the concepts and theories behind management is essential for excelling in exams. Practicing MCQs and objective questions not only enhances your knowledge but also boosts your confidence, helping you score better in your assessments. Engaging with practice questions allows you to identify important questions that frequently appear in exams, ensuring thorough exam preparation.

What You Will Practise Here

Key concepts of management theories and principles
Important definitions related to management functions
Diagrams illustrating organizational structures
Formulas for calculating management metrics
Case studies and their applications in real-world scenarios
Critical analysis of management strategies
Common terminologies used in management studies

Exam Relevance

Management Admissions content is integral to various examinations, including CBSE, State Boards, and competitive exams like NEET and JEE. Questions often focus on theoretical applications, definitions, and case studies. Common question patterns include multiple-choice questions that test your understanding of management principles and their practical implications. Familiarity with these patterns can significantly enhance your performance in exams.

Common Mistakes Students Make

Misunderstanding key management concepts and their applications
Overlooking the importance of diagrams and visual aids in management
Confusing similar terminologies and definitions
Neglecting the practical implications of theoretical knowledge
Rushing through practice questions without thorough analysis

FAQs

Question: What are the best ways to prepare for Management Admissions MCQs?
Answer: Regularly practice MCQs, review key concepts, and engage in group discussions to clarify doubts.

Question: How can I identify important Management Admissions questions for exams?
Answer: Focus on past exam papers and frequently asked questions in your study materials.

Start your journey towards mastering Management Admissions today! Solve practice MCQs to test your understanding and solidify your knowledge. Every question you tackle brings you one step closer to success in your exams!

CAT

Q. If the first term of a harmonic progression is 1 and the common difference of the corresponding arithmetic progression is 1, what is the second term?

A. 1/2
B. 1/3
C. 1/4
D. 1/5

Solution

The first term is 1, and the reciprocal of the second term in HP is 1 + 1 = 2. Therefore, the second term is 1/2.

Correct Answer: A — 1/2

Q. If the first term of a harmonic progression is 1 and the common difference of the corresponding arithmetic progression is 2, what is the second term of the harmonic progression?

A. 1/2
B. 1/3
C. 1/4
D. 1/5

Solution

The first term is 1, and the second term's reciprocal will be 1 + 2 = 3. Therefore, the second term is 1/3.

Correct Answer: A — 1/2

Q. If the first term of a harmonic progression is 1 and the second term is 1/2, what is the common difference of the corresponding arithmetic progression?

A. 1/2
B. 1/4
C. 1/3
D. 1

Solution

The reciprocals are 1 and 2, which have a common difference of 1.

Correct Answer: A — 1/2

Q. If the first term of a harmonic progression is 1 and the second term is 1/3, what is the third term?

A. 1/2
B. 1/4
C. 1/6
D. 1/8

Solution

The reciprocals of the terms are 1, 3, and 1/x. The common difference is 2, so 1/x = 3 + 2 = 5, thus x = 1/5.

Correct Answer: C — 1/6

Q. If the first term of a harmonic progression is 3 and the second term is 6, what is the common difference of the corresponding arithmetic progression?

A. 1
B. 2
C. 3
D. 4

Solution

The reciprocals are 1/3 and 1/6. The common difference is (1/6 - 1/3) = -1/6, which corresponds to a common difference of 1 in the arithmetic progression.

Correct Answer: B — 2

Q. If the first term of a harmonic progression is 4 and the common difference of the corresponding arithmetic progression is 2, what is the second term?

A. 2
B. 3
C. 4
D. 5

Solution

The first term is 4, and the reciprocal is 1/4. The second term's reciprocal will be 1/4 + 2 = 9/4, so the second term is 4/9.

Correct Answer: D — 5

Q. If the first term of a harmonic progression is 5 and the common difference of the corresponding arithmetic progression is 2, what is the second term?

A. 2
B. 3
C. 4
D. 6

Solution

The first term in the arithmetic progression is 1/5, and the common difference is 2. Therefore, the second term in the harmonic progression is 1/(1/5 + 2) = 1/(2.2) = 5/11.

Correct Answer: D — 6

Q. If the first term of a harmonic progression is 5 and the common difference of the corresponding arithmetic progression is 2, what is the second term of the harmonic progression?

A. 2.5
B. 3.33
C. 4
D. 6

Solution

The first term is 5, and the second term's reciprocal is 1/5 + 2 = 1/5 + 2/1 = 11/5. Therefore, the second term is 5/11, which is approximately 0.45.

Correct Answer: B — 3.33

Q. If the first term of a harmonic progression is 5 and the second term is 10, what is the fourth term?

A. 15
B. 20
C. 25
D. 30

Solution

The reciprocals are 1/5 and 1/10. The common difference is -1/10. The fourth term's reciprocal will be 1/10 - 1/10 = 1/25, hence the fourth term is 25.

Correct Answer: C — 25

Q. If the first term of a harmonic progression is 5 and the second term is 10, what is the sum of the first three terms?

A. 15
B. 20
C. 25
D. 30

Solution

The first term is 5, the second term is 10, and the third term can be calculated as 1/(1/5 + 1/10) = 3.33. The sum is 5 + 10 + 3.33 = 18.33, which rounds to 20.

Correct Answer: B — 20

Q. If the first term of a harmonic progression is 5 and the second term is 10, what is the third term?

A. 15
B. 20
C. 25
D. 30

Solution

The reciprocals are 1/5 and 1/10. The common difference is -1/10. The third term's reciprocal will be 1/10 - 1/10 = 1/15, so the third term is 15.

Correct Answer: C — 25

Q. If the first term of a series is 10 and the last term is 50 with a common difference of 5, how many terms are in the series? (2023)

A. 8
B. 9
C. 10
D. 11

Solution

The number of terms n can be calculated using the formula: n = (last - first) / difference + 1. Here, n = (50 - 10) / 5 + 1 = 9.

Correct Answer: B — 9

Q. If the first term of an arithmetic progression is 12 and the last term is 48, with a total of 10 terms, what is the common difference?

A. 4
B. 3
C. 5
D. 6

Solution

The last term can be expressed as a + (n-1)d. Here, 48 = 12 + 9d. Solving gives d = 4.

Correct Answer: A — 4

Q. If the first term of an arithmetic progression is 3 and the common difference is 5, what is the sum of the first 6 terms?

A. 90
B. 75
C. 60
D. 45

Solution

Using the sum formula, S_6 = 6/2 * (2*3 + 5*5) = 3 * 33 = 99.

Correct Answer: A — 90

Q. If the first term of an arithmetic progression is 4 and the sum of the first 6 terms is 60, what is the common difference?

A. 2
B. 3
C. 4
D. 5

Solution

Using the sum formula S_n = n/2 * (2a + (n-1)d), we have 60 = 6/2 * (8 + 5d). Solving gives d = 3.

Correct Answer: B — 3

Q. If the first term of an arithmetic progression is 7 and the common difference is -2, what is the 6th term?

A. -1
B. 1
C. 3
D. 5

Solution

The nth term is given by a + (n-1)d. Here, a = 7, d = -2, and n = 6. So, the 6th term = 7 + (6-1)(-2) = 7 - 10 = -3.

Correct Answer: A — -1

Q. If the first term of an arithmetic progression is 7 and the common difference is 2, what is the 15th term?

A. 37
B. 39
C. 35
D. 40

Solution

Using the formula for the nth term, a + (n-1)d = 7 + 14*2 = 7 + 28 = 35.

Correct Answer: A — 37

Q. If the first term of an arithmetic progression is 7 and the common difference is -2, what is the 8th term?

A. -1
B. 0
C. 1
D. 2

Solution

Using the formula for the nth term, a + (n-1)d = 7 + (8-1)(-2) = 7 - 14 = -7.

Correct Answer: A — -1

Q. If the first term of an arithmetic progression is 7 and the last term is 37, with a total of 16 terms, what is the common difference?

A. 2
B. 3
C. 4
D. 5

Solution

Using the formula for the last term, l = a + (n-1)d, we have 37 = 7 + (16-1)d. Solving gives d = 2.

Correct Answer: A — 2

Q. If the first term of an arithmetic progression is 8 and the last term is 50, with a total of 10 terms, what is the common difference? (2023)

A. 4
B. 5
C. 6
D. 7

Solution

Using the formula for the nth term, we have 50 = 8 + (10-1)d. Solving for d gives us d = 5.

Correct Answer: B — 5

Q. If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term? (2023)

A. 32
B. 35
C. 30
D. 28

Solution

The nth term of an arithmetic sequence is given by a + (n-1)d. Here, a = 5, d = 3, n = 10. So, 5 + (10-1)3 = 32.

Correct Answer: A — 32

Q. If the first three terms of a harmonic progression are 1, 1/2, and 1/3, what is the fourth term?

A. 1/4
B. 1/5
C. 1/6
D. 1/7

Solution

The reciprocals are 1, 2, and 3, which are in arithmetic progression. The next term in the sequence of reciprocals is 4, so the fourth term is 1/4.

Correct Answer: C — 1/6

Q. If the first three terms of a harmonic progression are 1, 1/2, and 1/3, what is the common difference of the corresponding arithmetic progression?

A. 1/6
B. 1/3
C. 1/2
D. 1

Solution

The reciprocals are 1, 2, and 3. The common difference is 2 - 1 = 1.

Correct Answer: A — 1/6

Q. If the first three terms of a harmonic progression are 1/2, 1/3, and 1/x, what is the value of x?

A. 4
B. 6
C. 8
D. 12

Solution

The reciprocals of the terms form an arithmetic progression: 2, 3, and x. The common difference is 1. Therefore, x = 6.

Correct Answer: B — 6

Q. If the first three terms of a harmonic progression are a, b, and c, which of the following equations holds true?

A. 1/a + 1/b = 1/c
B. 1/a + 1/c = 1/b
C. 1/b + 1/c = 1/a
D. 1/a + 1/b + 1/c = 0

Solution

In a harmonic progression, the reciprocals of the terms form an arithmetic progression, hence 1/a + 1/b = 1/c.

Correct Answer: A — 1/a + 1/b = 1/c

Q. If the first three terms of a harmonic progression are a, b, and c, which of the following is true?

A. 1/a + 1/c = 2/b
B. a + b + c = 0
C. a*b*c = 1
D. a + b = c

Solution

In a harmonic progression, the reciprocals of the terms form an arithmetic progression, which leads to the relationship 1/a + 1/c = 2/b.

Correct Answer: A — 1/a + 1/c = 2/b

Q. If the first three terms of a harmonic progression are a, b, c, which of the following is true?

A. 1/a, 1/b, 1/c are in AP
B. a, b, c are in AP
C. 1/a, 1/b, 1/c are in GP
D. b = (a+c)/2

Solution

In a harmonic progression, the reciprocals of the terms are in arithmetic progression, hence 1/a, 1/b, 1/c are in AP.

Correct Answer: A — 1/a, 1/b, 1/c are in AP

Q. If the function f(x) is defined as f(x) = 2x + 1, what is the value of f(3)?

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

Solution

Substituting x = 3 into the function gives f(3) = 2(3) + 1 = 6 + 1 = 7.

Correct Answer: C — 7

Q. If the function g(x) = 2x + 3 is transformed to g(x) = 2(x - 1) + 3, what type of transformation has occurred?

A. Vertical shift up.
B. Vertical shift down.
C. Horizontal shift left.
D. Horizontal shift right.

Solution

The transformation g(x) = 2(x - 1) + 3 indicates a horizontal shift to the right by 1 unit.

Correct Answer: D — Horizontal shift right.

Q. If the GCD of two numbers is 1, what can be inferred about the two numbers? (2023)

A. They are both even.
B. They are both odd.
C. They are coprime.
D. They are multiples of each other.

Solution

If the GCD of two numbers is 1, it means they have no common factors other than 1, thus they are coprime.

Correct Answer: C — They are coprime.

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