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Major Competitive Exams

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Q. If x ≡ 4 (mod 7) and x ≡ 5 (mod 11), what is the smallest positive integer solution for x?
  • A. 18
  • B. 25
  • C. 39
  • D. 52
Q. If x ≡ 4 (mod 7) and y ≡ 3 (mod 7), what is the value of (x + y) mod 7?
  • A. 0
  • B. 1
  • C. 2
  • D. 3
Q. If x ≡ 4 (mod 7), which of the following could be a possible value of x?
  • A. 11
  • B. 10
  • C. 9
  • D. 8
Q. If x ≤ 4, which of the following must be true?
  • A. x + 1 ≤ 5
  • B. x - 2 ≥ 2
  • C. 2x ≤ 8
  • D. x + 3 > 8
Q. If x^2 + 2x + 1 = 0, what is the value of x?
  • A. -1
  • B. 0
  • C. 1
  • D. 2
Q. If x^2 - 5x + 6 = 0, what are the values of x? (2019)
  • A. 2, 3
  • B. 1, 6
  • C. 3, 2
  • D. 0, 6
Q. If x^2 - 6x + 9 = 0, what is the value of x?
  • A. 3
  • B. 6
  • C. 9
  • D. 0
Q. If x^3 - 8 = 0, what is the value of x?
  • A. 2
  • B. 3
  • C. 4
  • D. 1
Q. If x^3 = 8, then the value of x is?
  • A. 2
  • B. 4
  • C. 1
  • D. 0
Q. If x^4 = 81, what is the value of x?
  • A. 3
  • B. 4
  • C. 9
  • D. 16
Q. If y < 2 and y + 3 > 0, which of the following is true?
  • A. y < -3
  • B. y > -3
  • C. y < 0
  • D. y > 0
Q. If y = cos^(-1)(1/2), what is the value of y?
  • A. π/3
  • B. π/4
  • C. π/6
  • D. π/2
Q. If y = cos^(-1)(x), then dy/dx is:
  • A. -1/√(1-x^2)
  • B. 1/√(1-x^2)
  • C. 0
  • D. 1
Q. If y = cos^(-1)(x), then what is dy/dx?
  • A. -1/√(1-x^2)
  • B. 1/√(1-x^2)
  • C. 1/x
  • D. -1/x
Q. If y = cos^(-1)(x), what is dy/dx?
  • A. -1/√(1-x^2)
  • B. 1/√(1-x^2)
  • C. 0
  • D. 1
Q. If y = sin^(-1)(x), then what is the derivative dy/dx?
  • A. 1/√(1-x^2)
  • B. 1/(1-x^2)
  • C. √(1-x^2)
  • D. 1/x
Q. If y = sin^(-1)(x), then x = sin(y) implies:
  • A. y = x
  • B. y = -x
  • C. y = 1-x
  • D. y = 1+x
Q. If y = sin^(-1)(x), what is dy/dx?
  • A. 1/sqrt(1-x^2)
  • B. 1/(1-x^2)
  • C. sqrt(1-x^2)
  • D. 1/x
Q. If y = sin^(-1)(x), what is the second derivative d^2y/dx^2?
  • A. 0
  • B. 1/√(1-x^2)^3
  • C. -1/√(1-x^2)^3
  • D. undefined
Q. If y = tan^(-1)(x), then the range of y is:
  • A. (-π/2, π/2)
  • B. (0, π)
  • C. (-π, π)
  • D. [0, 1]
Q. If y = tan^(-1)(x), then what is the second derivative d^2y/dx^2?
  • A. 0
  • B. -2/(1+x^2)^2
  • C. 2/(1+x^2)^2
  • D. 1/(1+x^2)
Q. If Y is the sister of Z and A is the mother of Z, how is Y related to A? (2023)
  • A. Daughter
  • B. Sister
  • C. Niece
  • D. Cousin
Q. If you add 12.11 and 0.3, how many decimal places should the answer have?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. If you are at point A and move 2 km north, then 2 km west, where are you relative to point A?
  • A. 2 km North-West
  • B. 2 km South-East
  • C. 2 km South-West
  • D. 2 km North-East
Q. If you are at point A and move 2 miles south, then 2 miles west, which direction is point A from your current location?
  • A. North-East
  • B. South-West
  • C. North-West
  • D. South-East
Q. If you are at point A and move 2 miles south, then 2 miles west, which direction is point A from your current position?
  • A. Northeast
  • B. Southwest
  • C. Southeast
  • D. Northwest
Q. If you are at point A and move 2 miles west, then 3 miles south, which direction is point A from your current position?
  • A. North-East
  • B. South-West
  • C. North-West
  • D. South-East
Q. If you are at point A and move 3 km east to point B, then 4 km south to point C, what is the direction from A to C?
  • A. North-East
  • B. South-East
  • C. South-West
  • D. North-West
Q. If you are at point A and move 3 km east, then 4 km north, where are you relative to point A?
  • A. 3 km North-East
  • B. 4 km North-West
  • C. 5 km North-East
  • D. 7 km South-East
Q. If you are at point A and move 3 km north, then 4 km west, what is your final position relative to point A?
  • A. 3 km North
  • B. 4 km West
  • C. 5 km North-West
  • D. 7 km South-East
Showing 12721 to 12750 of 31669 (1056 Pages)

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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