JEE Main MCQ & Objective Questions

The JEE Main exam is a crucial step for students aspiring to enter prestigious engineering colleges in India. It tests not only knowledge but also the ability to apply concepts effectively. Practicing MCQs and objective questions is essential for scoring better, as it helps in familiarizing students with the exam pattern and enhances their problem-solving skills. Engaging with practice questions allows students to identify important questions and strengthen their exam preparation.

What You Will Practise Here

  • Fundamental concepts of Physics, Chemistry, and Mathematics
  • Key formulas and their applications in problem-solving
  • Important definitions and theories relevant to JEE Main
  • Diagrams and graphical representations for better understanding
  • Numerical problems and their step-by-step solutions
  • Previous years' JEE Main questions for real exam experience
  • Time management strategies while solving MCQs

Exam Relevance

The topics covered in JEE Main are not only significant for the JEE exam but also appear in various CBSE and State Board examinations. Many concepts are shared with the NEET syllabus, making them relevant across multiple competitive exams. Common question patterns include conceptual applications, numerical problems, and theoretical questions that assess a student's understanding of core subjects.

Common Mistakes Students Make

  • Misinterpreting the question stem, leading to incorrect answers
  • Neglecting units in numerical problems, which can change the outcome
  • Overlooking negative marking and not managing time effectively
  • Relying too heavily on rote memorization instead of understanding concepts
  • Failing to review and analyze mistakes from practice tests

FAQs

Question: How can I improve my speed in solving JEE Main MCQ questions?
Answer: Regular practice with timed quizzes and focusing on shortcuts can significantly enhance your speed.

Question: Are the JEE Main objective questions similar to previous years' papers?
Answer: Yes, many questions are based on previous years' patterns, so practicing them can be beneficial.

Question: What is the best way to approach JEE Main practice questions?
Answer: Start with understanding the concepts, then attempt practice questions, and finally review your answers to learn from mistakes.

Now is the time to take charge of your preparation! Dive into solving JEE Main MCQs and practice questions to test your understanding and boost your confidence for the exam.

Q. What is the condition for the lines represented by ax^2 + 2hxy + by^2 = 0 to be parallel?
  • A. h^2 = ab
  • B. h^2 > ab
  • C. h^2 < ab
  • D. h^2 = 0
Q. What is the condition for the lines represented by the equation 2x^2 + 3xy + y^2 = 0 to be coincident?
  • A. D = 0
  • B. D > 0
  • C. D < 0
  • D. D = 1
Q. What is the condition for the lines represented by the equation 5x^2 + 4xy + 3y^2 = 0 to be parallel?
  • A. 5/3
  • B. 4/5
  • C. 0
  • D. 1
Q. What is the condition for two lines ax + by + c1 = 0 and ax + by + c2 = 0 to be parallel?
  • A. c1 = c2
  • B. a/b = c1/c2
  • C. a/b = c2/c1
  • D. a = 0
Q. What is the condition for two lines to be parallel?
  • A. m1 = m2
  • B. m1 + m2 = 0
  • C. m1 * m2 = -1
  • D. m1 - m2 = 0
Q. What is the condition for two lines to be perpendicular?
  • A. m1 * m2 = -1
  • B. m1 + m2 = 0
  • C. m1 - m2 = 1
  • D. m1 * m2 = 1
Q. What is the conjugate of the complex number z = 2 + 5i?
  • A. 2 - 5i
  • B. 2 + 5i
  • C. -2 + 5i
  • D. -2 - 5i
Q. What is the conjugate of the complex number z = 5 - 2i?
  • A. 5 + 2i
  • B. 5 - 2i
  • C. 2 - 5i
  • D. 2 + 5i
Q. What is the conjugate of the complex number z = 5 - 6i?
  • A. 5 + 6i
  • B. 5 - 6i
  • C. 6 - 5i
  • D. 6 + 5i
Q. What is the conversion factor from kilometers to meters?
  • A. 100
  • B. 1000
  • C. 0.1
  • D. 0.001
Q. What is the conversion factor from kilometers to miles?
  • A. 0.621
  • B. 1.609
  • C. 0.539
  • D. 1.000
Q. What is the coordination number of the central metal ion in the complex [Co(NH3)6]Cl3?
  • A. 2
  • B. 4
  • C. 6
  • D. 8
Q. What is the coordination number of the central metal ion in [Co(NH3)6]Cl3?
  • A. 2
  • B. 4
  • C. 6
  • D. 8
Q. What is the correct number of significant figures in the result of 5.67 - 0.2?
  • A. 4
  • B. 3
  • C. 2
  • D. 1
Q. What is the correct number of significant figures in the result of 6.022 x 10^23?
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. What is the correct way to express 0.000123 in scientific notation with significant figures?
  • A. 1.23 x 10^-4
  • B. 1.23 x 10^-3
  • C. 1.2 x 10^-4
  • D. 1.23 x 10^-5
Q. What is the correct way to express 0.000123 in scientific notation?
  • A. 1.23 x 10^-4
  • B. 1.23 x 10^-3
  • C. 1.23 x 10^-2
  • D. 1.23 x 10^-5
Q. What is the correct way to express 0.0001234 in scientific notation with significant figures?
  • A. 1.234 x 10^-4
  • B. 1.23 x 10^-4
  • C. 1.2340 x 10^-4
  • D. 1.2 x 10^-4
Q. What is the correct way to express 0.000345 in scientific notation with significant figures?
  • A. 3.45 x 10^-4
  • B. 3.450 x 10^-4
  • C. 3.4500 x 10^-4
  • D. 3.4 x 10^-4
Q. What is the correct way to express 0.000450 in scientific notation with significant figures?
  • A. 4.5 x 10^-4
  • B. 4.50 x 10^-4
  • C. 0.45 x 10^-3
  • D. 4.500 x 10^-4
Q. What is the critical angle for a glass-air interface if the refractive index of glass is 1.5?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 90 degrees
Q. What is the critical angle for total internal reflection from glass to air if the refractive index of glass is 1.5?
  • A. 30 degrees
  • B. 41.8 degrees
  • C. 48.6 degrees
  • D. 60 degrees
Q. What is the critical angle for total internal reflection from water (n = 1.33) to air (n = 1)?
  • A. 48.6 degrees
  • B. 53.1 degrees
  • C. 60 degrees
  • D. 90 degrees
Q. What is the critical angle for total internal reflection from water to air (n_water = 1.33, n_air = 1.00)?
  • A. 48.6 degrees
  • B. 90 degrees
  • C. 42.0 degrees
  • D. 60 degrees
Q. What is the critical angle for total internal reflection from water to air (n_water = 1.33, n_air = 1)?
  • A. 48.6 degrees
  • B. 90 degrees
  • C. 30.0 degrees
  • D. 60.0 degrees
Q. What is the critical angle for total internal reflection if the refractive index of the medium is 1.5?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 90 degrees
Q. What is the critical angle for total internal reflection in a medium with a refractive index of 1.5?
  • A. 30 degrees
  • B. 45 degrees
  • C. 60 degrees
  • D. 90 degrees
Q. What is the critical angle for total internal reflection when light travels from water (n = 1.33) to air (n = 1)?
  • A. 48.6 degrees
  • B. 53.1 degrees
  • C. 60 degrees
  • D. 90 degrees
Q. What is the critical angle for total internal reflection when light travels from water (n=1.33) to air (n=1.00)?
  • A. 48.6 degrees
  • B. 41.8 degrees
  • C. 53.1 degrees
  • D. 60.0 degrees
Q. What is the critical angle for total internal reflection when light travels from glass (n = 1.5) to air (n = 1)?
  • A. 30 degrees
  • B. 41.8 degrees
  • C. 48.6 degrees
  • D. 60 degrees
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