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Major Competitive Exams

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Q. If x = sin^(-1)(1/2), then the value of cos(x) is:
  • A. 1/2
  • B. √3/2
  • C. 1
  • D. 0
Q. If x = sin^(-1)(1/2), what is the value of cos(x)?
  • A. 1/2
  • B. √3/2
  • C. 1
  • D. 0
Q. If x = sin^(-1)(1/3), then what is the value of cos(x)?
  • A. √(8)/3
  • B. √(2)/3
  • C. 1/3
  • D. 2/3
Q. If x = sin^(-1)(1/3), then what is the value of cos^(-1)(√(1 - (1/3)^2))?
  • A. π/3
  • B. π/2
  • C. 2π/3
  • D. π/4
Q. If x = sin^(-1)(1/√2), then what is the value of cos(x)?
  • A. 1/2
  • B. √2/2
  • C. √3/2
  • D. 1
Q. If x = sin^(-1)(1/√2), then what is the value of cos^(-1)(x)?
  • A. π/4
  • B. π/3
  • C. π/2
  • D. π/6
Q. If x = sin^(-1)(3/5), what is cos(x)?
  • A. 4/5
  • B. 3/5
  • C. 5/4
  • D. 1/5
Q. If x = sin^(-1)(3/5), what is the value of cos(x)?
  • A. 4/5
  • B. 3/5
  • C. 2/5
  • D. 1/5
Q. If x = tan^(-1)(1), then the value of x is:
  • A. π/4
  • B. π/2
  • C. 0
  • D. 1
Q. If x = tan^(-1)(1), what is the value of x?
  • A. π/4
  • B. π/3
  • C. π/6
  • D. 0
Q. If x = tan^(-1)(1/√3), what is the value of x?
  • A. π/6
  • B. π/4
  • C. π/3
  • D. 0
Q. If x = tan^(-1)(√3), then what is the value of sin^(-1)(x)?
  • A. π/3
  • B. π/4
  • C. π/2
  • D. π/6
Q. If x = tan^(-1)(√3), what is the value of sin(2x)?
  • A. √3/2
  • B. 1
  • C. √2/2
  • D. 0
Q. If x is a positive integer and 3x - 5 < 10, what is the largest possible value of x?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. If x is a positive integer such that 3x - 5 < 10, what is the largest possible value of x?
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Q. If x is a positive integer such that 4x - 1 < 15, what is the largest possible value of x?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. If x is a positive integer such that x + 5 < 10, what is the maximum value of x?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. If x is a positive integer, which of the following must be true if x^2 < 16?
  • A. x < 4
  • B. x > 4
  • C. x = 4
  • D. x < 0
Q. If X is constrained by Y, which of the following is true?
  • A. X is independent of Y
  • B. Y limits X
  • C. X enhances Y
  • D. Y is irrelevant to X
Q. If X is facing south and turns 90 degrees to the right, then 180 degrees to the left, which direction is he facing now?
  • A. North
  • B. South
  • C. East
  • D. West
Q. If X is taller than Y and Y is shorter than Z, who is the shortest? (2023)
  • A. X
  • B. Y
  • C. Z
  • D. None of the above
Q. If X is the father of Y and Y is the mother of Z, what is the relationship between X and Z? (2020)
  • A. Grandfather
  • B. Father
  • C. Uncle
  • D. Brother
Q. If X is the father of Y and Y is the mother of Z, what is Z's relation to X?
  • A. Grandson
  • B. Son
  • C. Nephew
  • D. Granddaughter
Q. If X is the husband of Y and Z is the daughter of Y, how is Z related to X?
  • A. Daughter
  • B. Sister
  • C. Niece
  • D. Cousin
Q. If X is the sister of Y and Y is the brother of Z, what is the relationship of X to Z? (2020)
  • A. Sister
  • B. Cousin
  • C. Aunt
  • D. Brother
Q. If X is the son of Y and Y is the daughter of Z, how is Z related to X?
  • A. Grandfather
  • B. Father
  • C. Uncle
  • D. Brother
Q. If x ≡ 2 (mod 3) and y ≡ 1 (mod 3), what is the value of (x + y) mod 3?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If x ≡ 3 (mod 7) and x ≡ 5 (mod 11), what is the smallest positive integer solution for x?
  • A. 38
  • B. 26
  • C. 18
  • D. 15
Q. If x ≡ 4 (mod 5), which of the following values of x is NOT possible?
  • A. 4
  • B. 9
  • C. 14
  • D. 19
Q. If x ≡ 4 (mod 6), which of the following could be a possible value of x?
  • A. 10
  • B. 8
  • C. 2
  • D. 12
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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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