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Mathematics Syllabus (JEE Main)

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Q. In a bag containing 3 red, 2 blue, and 5 green balls, what is the probability of drawing a blue ball?
  • A. 1/5
  • B. 1/4
  • C. 1/10
  • D. 1/2
Q. In a bag of 10 balls, 4 are red and 6 are blue. What is the probability of picking a red ball?
  • A. 2/5
  • B. 4/10
  • C. 3/5
  • D. 1/2
Q. In a box of 10 balls, 4 are red and 6 are blue. What is the probability of picking a red ball?
  • A. 0.4
  • B. 0.5
  • C. 0.6
  • D. 0.7
Q. In a box of 100 balls, 30 are red, 50 are blue, and 20 are green. What is the probability of picking a red ball?
  • A. 0.3
  • B. 0.5
  • C. 0.2
  • D. 0.1
Q. In a box, there are 5 white and 3 black balls. If a ball is drawn and it is black, what is the probability that the next ball drawn is white?
  • A. 0.625
  • B. 0.5
  • C. 0.375
  • D. 0.25
Q. In a class of 30 students, 18 are boys and 12 are girls. If a student is selected at random, what is the probability that the student is a girl given that the student is not a boy?
  • A. 1/2
  • B. 2/3
  • C. 1/3
  • D. 1/4
Q. In a class of 30 students, 18 are boys and 12 are girls. If a student is selected at random, what is the probability that the student is a girl?
  • A. 2/5
  • B. 1/3
  • C. 1/2
  • D. 3/5
Q. In a class of 30 students, 18 are boys and 12 are girls. What is the probability of randomly selecting a girl?
  • A. 2/5
  • B. 1/3
  • C. 1/2
  • D. 3/5
Q. In a class of 30 students, 18 are boys. What is the probability of randomly selecting a girl?
  • A. 0.4
  • B. 0.6
  • C. 0.5
  • D. 0.3
Q. In a class of 30 students, 18 are girls. If a student is selected at random, what is the probability that the student is a girl?
  • A. 3/5
  • B. 2/5
  • C. 1/2
  • D. 1/3
Q. In a class of 30 students, the marks obtained are as follows: 45, 50, 55, 60, 65. What is the median?
  • A. 50
  • B. 55
  • C. 60
  • D. 65
Q. In a class of 30 students, the marks obtained are as follows: 45, 50, 55, 60, 65, 70, 75, 80, 85, 90. What is the median?
  • A. 65
  • B. 70
  • C. 75
  • D. 80
Q. In a class of 40 students, 25 are girls and 15 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?
  • A. 1
  • B. 0.5
  • C. 0.25
  • D. 0.75
Q. In a class of 40 students, 25 are girls. What is the probability of selecting a boy?
  • A. 0.375
  • B. 0.625
  • C. 0.5
  • D. 0.25
Q. In a class of 40 students, 25 are taking Mathematics, 15 are taking Physics, and 10 are taking both. What is the probability that a student is taking Physics given that they are taking Mathematics?
  • A. 1/4
  • B. 1/3
  • C. 1/2
  • D. 1/5
Q. In a class of 5 students, their scores are 10, 20, 30, 40, and 50. What is the median score?
  • A. 20
  • B. 30
  • C. 40
  • D. 50
Q. In a class of 5 students, their scores are 12, 15, 18, 20, and 25. What is the median score?
  • A. 15
  • B. 18
  • C. 20
  • D. 25
Q. In a class of 5 students, their scores are 12, 15, 20, 25, and 28. What is the median score?
  • A. 15
  • B. 20
  • C. 25
  • D. 28
Q. In a class of 5 students, their scores are 80, 90, 70, 85, and 95. What is the median score?
  • A. 80
  • B. 85
  • C. 90
  • D. 95
Q. In a data set, if the mean is 30 and the median is 25, what can be inferred about the data?
  • A. Skewed right
  • B. Skewed left
  • C. Symmetrical
  • D. Uniform
Q. In a data set, if the mean is 30 and the median is 25, what can be inferred?
  • A. Data is skewed right
  • B. Data is skewed left
  • C. Data is symmetric
  • D. Data is uniform
Q. In a data set, if the mean is 50 and the median is 45, what can be inferred about the data?
  • A. Skewed right
  • B. Skewed left
  • C. Symmetric
  • D. Uniform
Q. In a data set, if the mean is 50 and the sum of all values is 500, how many values are there?
  • A. 8
  • B. 9
  • C. 10
  • D. 11
Q. In a data set, if the mode is 15 and the mean is 20, what can be said about the data?
  • A. Positively skewed
  • B. Negatively skewed
  • C. Symmetrical
  • D. Uniform
Q. In a data set, if the values are 2, 4, 4, 4, 5, 5, 7, what is the mode?
  • A. 4
  • B. 5
  • C. 2
  • D. 7
Q. In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
  • A. 20%
  • B. 10%
  • C. 5%
  • D. 15%
Q. In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
  • A. Skewed right
  • B. Skewed left
  • C. Symmetric
  • D. Uniform
Q. In a data set, the mean is 20 and the median is 18. What can be said about the data?
  • A. Positively skewed
  • B. Negatively skewed
  • C. Symmetrical
  • D. Uniform
Q. In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
  • A. 20%
  • B. 15%
  • C. 10%
  • D. 5%
Q. In a data set, the mean is 50 and the number of observations is 10. What is the sum of all observations?
  • A. 400
  • B. 500
  • C. 600
  • D. 700
Showing 1741 to 1770 of 2847 (95 Pages)

Mathematics Syllabus (JEE Main) MCQ & Objective Questions

The Mathematics Syllabus for JEE Main is crucial for students aiming to excel in competitive exams. Understanding this syllabus not only helps in grasping key concepts but also enhances your ability to tackle objective questions effectively. Practicing MCQs and important questions from this syllabus is essential for solid exam preparation, ensuring you are well-equipped to score better in your exams.

What You Will Practise Here

  • Sets, Relations, and Functions
  • Complex Numbers and Quadratic Equations
  • Permutations and Combinations
  • Binomial Theorem
  • Sequences and Series
  • Limits and Derivatives
  • Statistics and Probability

Exam Relevance

The Mathematics Syllabus (JEE Main) is not only relevant for JEE but also appears in CBSE and State Board examinations. Students can expect a variety of question patterns, including direct MCQs, numerical problems, and conceptual questions. Mastery of this syllabus will prepare you for similar topics in NEET and other competitive exams, making it vital for your overall academic success.

Common Mistakes Students Make

  • Misinterpreting the questions, especially in word problems.
  • Overlooking the importance of units and dimensions in problems.
  • Confusing formulas related to sequences and series.
  • Neglecting to practice derivations, leading to errors in calculus.
  • Failing to apply the correct methods for solving probability questions.

FAQs

Question: What are the key topics in the Mathematics Syllabus for JEE Main?
Answer: Key topics include Sets, Complex Numbers, Permutations, Binomial Theorem, and Calculus.

Question: How can I improve my performance in Mathematics MCQs?
Answer: Regular practice of MCQs and understanding the underlying concepts are essential for improvement.

Now is the time to take charge of your exam preparation! Dive into solving practice MCQs and test your understanding of the Mathematics Syllabus (JEE Main). Your success is just a question away!

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