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. Fill in the blank with the appropriate linking word: 'He was tired; _____, he decided to take a nap.' (2023)

A. thus
B. but
C. and
D. or

Solution

'Thus' indicates a conclusion drawn from the previous statement.

Correct Answer: A — thus

Q. Fill in the blank with the correct linking word: 'He studied hard; _____, he failed the exam.'

A. however
B. therefore
C. because
D. and

Solution

'However' is the correct choice as it contrasts the expectation set by the first clause.

Correct Answer: A — however

Q. Fill in the blank with the correct linking word: 'He studied hard; _____, he passed the exam.'

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

Solution

'Therefore' is the correct choice as it shows the result of his hard work.

Correct Answer: B — therefore

Q. Fill in the blank with the correct preposition: 'He is responsible ___ the project.'

A. for
B. to
C. with
D. about

Solution

'For' is the correct preposition used to indicate responsibility.

Correct Answer: A — for

Q. Fill in the blank with the correct preposition: She walked ___ the bridge.

A. over
B. under
C. through
D. around

Solution

The correct preposition is 'over'. The phrase is 'walked over the bridge'.

Correct Answer: A — over

Q. Fill in the blank with the correct preposition: The cat jumped ___ the table.

A. on
B. in
C. at
D. to

Solution

The correct preposition is 'on'. The phrase is 'jumped on the table'.

Correct Answer: A — on

Q. Fill in the blank with the right conjunction: You can have tea, ___ you can have coffee.

A. and
B. but
C. or
D. nor

Solution

The correct conjunction is 'or'. It presents an alternative.

Correct Answer: C — or

Q. Fill in the blank: 'He didn't study for the test; _____, he was surprised by his low score.'

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

Solution

'Therefore' is the correct linking word, showing the consequence of not studying.

Correct Answer: A — therefore

Q. Fill in the blank: 'He didn't study; _____, he failed the test.'

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

Solution

'So' indicates the result of not studying, leading to failure.

Correct Answer: B — so

Q. Fill in the blank: 'He is very talented; _____, he still needs to practice more.'

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

Solution

'But' introduces a contrast to the statement about his talent.

Correct Answer: A — but

Q. Fill in the blank: 'He is very talented; _____, he works hard to improve his skills.'

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

Solution

'And' is the correct linking word as it adds information about his hard work.

Correct Answer: B — and

Q. Fill in the blank: 'He was late to the meeting, _____ he missed the important announcements.'

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

Solution

'So' indicates the consequence of being late.

Correct Answer: A — so

Q. Fill in the blank: 'He was _______ by the news of his promotion.'

A. elated
B. disappointed
C. indifferent
D. angry

Solution

'Elated' means extremely happy, which fits the context of receiving good news.

Correct Answer: A — elated

Q. Fill in the blank: 'Her _______ attitude made her a favorite among her peers.'

A. pessimistic
B. gregarious
C. sullen
D. aloof

Solution

'Gregarious' means sociable and enjoying the company of others, which fits the context of being a favorite.

Correct Answer: B — gregarious

Q. Fill in the blank: 'His _______ remarks often left people feeling uncomfortable.'

A. tactful
B. blunt
C. diplomatic
D. subtle

Solution

'Blunt' means straightforward and direct, often to the point of being rude or insensitive.

Correct Answer: B — blunt

Q. Fill in the blank: 'I enjoy hiking; _____, I prefer to go in the early morning.'

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

Solution

'However' is the correct linking word, showing a contrast in preferences.

Correct Answer: A — however

Q. Fill in the blank: 'I wanted to go for a walk. _____, it started to rain.' (2023)

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

Solution

'However' indicates a contrast to the initial desire.

Correct Answer: A — However

Q. Fill in the blank: 'She is allergic to nuts; _____, she avoids all products containing them.'

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

Solution

'Therefore' indicates the result of her allergy.

Correct Answer: A — therefore

Q. Fill in the blank: 'She loves to travel; _____, she has visited over 20 countries.'

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

Solution

'And' is appropriate here as it adds information about her love for travel.

Correct Answer: B — and

Q. Fill in the blank: 'She was tired. _____, she decided to go to bed early.' (2023)

A. Thus
B. But
C. And
D. Or

Solution

'Thus' indicates a conclusion based on her tiredness.

Correct Answer: A — Thus

Q. Fill in the blank: 'The committee reached a _____ decision after much debate.'

A. hasty
B. unanimous
C. divided
D. conflicted

Solution

'Unanimous' means that all members agreed, which fits the context of a decision made after debate.

Correct Answer: B — unanimous

Q. Fill in the blank: 'The project was challenging; _____, we completed it on time.'

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

Solution

'Therefore' indicates the result of overcoming the challenge.

Correct Answer: D — therefore

Q. Find the 10th term of the sequence defined by a_n = 3n + 2.

A. 32
B. 30
C. 28
D. 34

Solution

a_10 = 3(10) + 2 = 30 + 2 = 32.

Correct Answer: A — 32

Q. Find the 10th term of the sequence defined by a_n = 3n^2 + 2n.

A. 320
B. 302
C. 290
D. 310

Solution

a_10 = 3(10^2) + 2(10) = 300 + 20 = 320.

Correct Answer: B — 302

Q. Find the angle between the lines represented by the equation 2x^2 - 3xy + y^2 = 0.

A. 30 degrees
B. 45 degrees
C. 60 degrees
D. 90 degrees

Solution

The angle between the lines can be found using the formula tan(θ) = |(m1 - m2) / (1 + m1*m2)|, where m1 and m2 are the slopes of the lines. The slopes can be found from the equation.

Correct Answer: B — 45 degrees

Q. Find the angle between the lines y = 2x + 1 and y = -0.5x + 3.

A. 60 degrees
B. 45 degrees
C. 90 degrees
D. 30 degrees

Solution

The slopes are m1 = 2 and m2 = -0.5. The angle θ is given by tan(θ) = |(m1 - m2) / (1 + m1*m2)| = |(2 + 0.5) / (1 - 1)|, which is undefined, indicating 90 degrees.

Correct Answer: A — 60 degrees

Q. Find the angle between the vectors (1, 0, 0) and (0, 1, 0).

A. 0 degrees
B. 90 degrees
C. 45 degrees
D. 180 degrees

Solution

The angle θ = cos⁻¹((u · v) / (|u| |v|)) = cos⁻¹(0) = 90 degrees.

Correct Answer: B — 90 degrees

Q. Find the angle between the vectors A = (1, 2, 2) and B = (2, 0, 2).

A. 0°
B. 45°
C. 60°
D. 90°

Solution

cos(θ) = (A · B) / (|A| |B|). A · B = 1*2 + 2*0 + 2*2 = 6. |A| = √(1^2 + 2^2 + 2^2) = 3, |B| = √(2^2 + 0^2 + 2^2) = 2√2. cos(θ) = 6 / (3 * 2√2) = 1/√2, θ = 45°.

Correct Answer: C — 60°

Q. Find the angle between the vectors A = (1, 2, 2) and B = (2, 1, 1).

A. 60°
B. 45°
C. 30°
D. 90°

Solution

cos(θ) = (A · B) / (|A| |B|). A · B = 1*2 + 2*1 + 2*1 = 6; |A| = √(1^2 + 2^2 + 2^2) = 3; |B| = √(2^2 + 1^2 + 1^2) = √6. Thus, cos(θ) = 6 / (3√6) = 1/√6, θ = 45°.

Correct Answer: B — 45°

Q. Find the angle between the vectors A = (3, -2, 1) and B = (1, 1, 1) if A · B = |A||B|cos(θ).

A. 60°
B. 45°
C. 90°
D. 30°

Solution

A · B = 3*1 + (-2)*1 + 1*1 = 3 - 2 + 1 = 2. |A| = √(3^2 + (-2)^2 + 1^2) = √14, |B| = √3. cos(θ) = 2/(√14 * √3). θ = 60°.

Correct Answer: A — 60°

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