Major Competitive Exams

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Major Competitive Exams

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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!

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Q. Calculate ∫_1^e (ln(x))^2 dx.

A. 1
B. 2
C. e
D. e^2

Solution

Using integration by parts, the integral evaluates to 1.

Correct Answer: B — 2

Q. Calculate: (10 + 5) × 2 - 8.

A. 22
B. 20
C. 18
D. 24

Solution

First, calculate inside the parentheses: 10 + 5 = 15. Then, 15 × 2 = 30. Finally, 30 - 8 = 22.

Correct Answer: A — 22

Q. Calculate: (15 - 5) × 2 + 10.

A. 20
B. 25
C. 30
D. 35

Solution

15 - 5 = 10; 10 × 2 = 20; 20 + 10 = 30.

Correct Answer: B — 25

Q. Calculate: (5 + 3) × (2^2 - 1)

A. 32
B. 24
C. 16
D. 20

Solution

First, calculate inside the parentheses: 2^2 - 1 = 3. Then, (5 + 3) = 8. Finally, 8 × 3 = 24.

Correct Answer: B — 24

Q. Calculate: (8 + 4) × 2 - 10 ÷ 2.

A. 20
B. 22
C. 18
D. 16

Solution

First, calculate inside the parentheses: 8 + 4 = 12. Then, 12 × 2 - 10 ÷ 2 = 24 - 5 = 19.

Correct Answer: B — 22

Q. Calculate: 144 ÷ (12 - 8) + 6.

A. 36
B. 30
C. 24
D. 18

Solution

12 - 8 = 4; 144 ÷ 4 = 36; 36 + 6 = 42.

Correct Answer: A — 36

Q. Calculate: 20 + 3 × (4 - 2)

A. 22
B. 24
C. 26
D. 20

Solution

First, calculate (4 - 2) = 2. Now, 3 × 2 = 6. Finally, 20 + 6 = 26.

Correct Answer: A — 22

Q. Calculate: 20 - 4 × (2 + 1).

A. 8
B. 12
C. 16
D. 10

Solution

First, calculate inside the parentheses: 2 + 1 = 3. Then, 4 × 3 = 12. Finally, 20 - 12 = 8.

Correct Answer: B — 12

Q. Calculate: 2^3 + 3^2 - 4 × 2

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

Solution

First, calculate the powers: 2^3 = 8 and 3^2 = 9. Then, perform the multiplication: 4 × 2 = 8. Finally, add and subtract: 8 + 9 - 8 = 9.

Correct Answer: B — 8

Q. Calculate: 3 + 5 × 2 - 4 ÷ 2

A. 6
B. 8
C. 10
D. 4

Solution

According to BODMAS, first calculate multiplication and division: 5 × 2 = 10 and 4 ÷ 2 = 2. Then, perform addition and subtraction: 3 + 10 - 2 = 11.

Correct Answer: B — 8

Q. Calculate: 3 × (4 + 2) - 5.

A. 15
B. 10
C. 12
D. 18

Solution

4 + 2 = 6; 3 × 6 = 18; 18 - 5 = 13.

Correct Answer: A — 15

Q. Calculate: 50 - (6 × 5) + 3

A. 23
B. 20
C. 25
D. 22

Solution

First, calculate 6 × 5 = 30. Now, 50 - 30 + 3 = 20 + 3 = 23.

Correct Answer: B — 20

Q. Calculate: 6 + 2 × (5 - 3)^2

A. 8
B. 10
C. 12
D. 14

Solution

First, solve inside the parentheses: 5 - 3 = 2. Then, calculate the exponent: 2^2 = 4. Next, multiply: 2 × 4 = 8. Finally, add: 6 + 8 = 14.

Correct Answer: B — 10

Q. Calculate: 7 - 2 × (3 + 1)

A. 3
B. 1
C. 5
D. 7

Solution

First, calculate inside the parentheses: 3 + 1 = 4. Then, 2 × 4 = 8. Finally, 7 - 8 = -1.

Correct Answer: C — 5

Q. Calculate: 8 × 3 - (6 ÷ 2) + 4.

A. 22
B. 20
C. 18
D. 24

Solution

First, calculate 6 ÷ 2 = 3. Then, 8 × 3 = 24. Finally, 24 - 3 + 4 = 25.

Correct Answer: B — 20

Q. Calculate: 9 × (2 + 3) - 4 × 3.

A. 33
B. 29
C. 25
D. 31

Solution

First, calculate inside the parentheses: 2 + 3 = 5. Then, 9 × 5 - 4 × 3 = 45 - 12 = 33.

Correct Answer: A — 33

Q. Calculate: √(16) + 3 × 2

A. 10
B. 8
C. 12
D. 14

Solution

First, calculate the square root: √(16) = 4. Then, perform the multiplication: 3 × 2 = 6. Finally, add: 4 + 6 = 10.

Correct Answer: A — 10

Q. Change the following sentence to active voice: 'The homework was completed by the students.' (2023)

A. The students completed the homework.
B. The students are completing the homework.
C. The homework is completed by the students.
D. The students have completed the homework.

Solution

In active voice, the subject 'students' performs the action, thus 'The students completed the homework.' is correct.

Correct Answer: A — The students completed the homework.

Q. Change to active voice: 'The song was sung by the children.' (2023)

A. The children sing the song.
B. The children sang the song.
C. The children have sung the song.
D. The children are singing the song.

Solution

In active voice, the subject 'children' performs the action, thus 'The children sang the song.' is correct.

Correct Answer: B — The children sang the song.

Q. Choose the appropriate linking word: 'He loves to travel. _____, he has visited over 20 countries.' (2023)

A. However
B. Therefore
C. Moreover
D. Although

Solution

'Moreover' adds to the information about his love for travel.

Correct Answer: C — Moreover

Q. Choose the best linking word: 'He didn’t study for the test; _____, he failed.'

A. and
B. but
C. so
D. because

Solution

'So' indicates the consequence of not studying.

Correct Answer: C — so

Q. Choose the best linking word: 'He is very talented; _____, he still practices every day.'

A. but
B. and
C. so
D. although

Solution

'And' is correct as it adds information about his practice.

Correct Answer: B — and

Q. Choose the best linking word: 'I enjoy reading; _____, I don't have much time for it.'

A. but
B. and
C. so
D. because

Solution

'But' is the correct choice as it introduces a contrast to the first statement.

Correct Answer: A — but

Q. Choose the best linking word: 'I wanted to go for a walk, _____ it started to rain.'

A. but
B. and
C. so
D. because

Solution

'But' is the correct choice as it contrasts the desire to walk with the rain.

Correct Answer: A — but

Q. Choose the best linking word: 'The project was challenging; _____, we completed it on time.'

A. but
B. and
C. so
D. therefore

Solution

'Therefore' is the correct linking word, indicating a conclusion drawn from the challenge.

Correct Answer: D — therefore

Q. Choose the best linking word: 'The project was challenging; _____, we managed to complete it on time.'

A. but
B. therefore
C. although
D. and

Solution

'Therefore' shows that despite the challenge, the outcome was successful.

Correct Answer: B — therefore

Q. Choose the best rephrased sentence: 'The book was so interesting that I couldn't put it down.'

A. I couldn't put down the interesting book.
B. The book was interesting enough to keep me reading.
C. I found the book interesting and couldn't stop reading.
D. The book was interesting, so I put it down.

Solution

Option 2 captures the essence of the original sentence while rephrasing it effectively.

Correct Answer: C — I found the book interesting and couldn't stop reading.

Q. Choose the best rephrased sentence: 'The project was completed ahead of schedule.'

A. The project finished before the scheduled time.
B. The project was done earlier than planned.
C. The project was completed sooner than expected.
D. The project was finished ahead of the schedule.

Solution

Option 2 is the most concise and clear rephrasing of the original sentence.

Correct Answer: C — The project was completed sooner than expected.

Q. Choose the best rephrased sentence: 'The results of the experiment were inconclusive.'

A. The experiment did not yield clear results.
B. The results were not clear from the experiment.
C. The experiment's results were unclear.
D. The results of the experiment were not conclusive.

Solution

Option 0 is the most straightforward and clear rephrasing of the original sentence.

Correct Answer: A — The experiment did not yield clear results.

Q. Choose the best rephrased sentence: 'The weather was too cold for a picnic.'

A. It was too cold to have a picnic.
B. The picnic was canceled due to cold weather.
C. The weather was not suitable for a picnic.
D. A picnic was not possible because of the cold weather.

Solution

Option 1 is the most straightforward rephrasing of the original sentence.

Correct Answer: A — It was too cold to have a picnic.

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