Mathematics Syllabus (JEE Main)
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Q. In a data set, the values are: 1, 2, 3, 4, 5. What is the interquartile range?
Q. In a deck of 52 cards, what is the probability of drawing a heart given that the card drawn is a red card?
Q. In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?
Q. In a family of 4 children, what is the probability that at least one is a girl given that there are at least 2 boys?
Q. In a family with 3 children, what is the probability that at least one child is a girl given that at least one child is a boy?
Q. In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30 and their frequencies are 5, 10, 15, what is the mode?
Q. In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30 and their frequencies are 5, 10, 15 respectively, what is the mode?
Q. In a frequency distribution, if the class intervals are 0-10, 10-20, 20-30, and the frequencies are 5, 10, 15 respectively, what is the mode?
Q. In a frequency distribution, if the class intervals are 0-10, 10-20, and 20-30 with frequencies 5, 10, and 15 respectively, what is the mode?
Q. In a frequency distribution, if the mode is 10 and appears 15 times, what can be said about the data?
Q. In a frequency distribution, if the mode is 10 and the highest frequency is 15, what can be said about the data?
Q. In a frequency distribution, if the mode is 10 and the highest frequency is 5, what can be said about the data?
Q. In a frequency distribution, if the mode is 12 and the frequency of 12 is 10, what can be inferred about the data?
Q. In a geometric series, if the first term is 4 and the common ratio is 3, what is the 4th term?
Q. In a group of 100 people, 60 like cricket, 30 like football, and 10 like both. What is the probability that a person likes football given that they like cricket?
Q. In a group of 100 people, 60 like football, 30 like basketball, and 10 like both. What is the probability that a person likes football given that they like basketball?
Q. In a group of 50 people, 20 are smokers and 30 are non-smokers. If a person is selected at random, what is the probability that the person is a non-smoker given that they are not a smoker?
Q. In a group of 50 people, 30 like tea, 20 like coffee, and 10 like both. What is the probability that a randomly selected person likes either tea or coffee?
Q. In a lottery, 10 tickets are sold. If you buy 1 ticket, what is the probability of winning?
Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. If one ticket is drawn at random, what is the probability that it is a winning ticket?
Q. In a lottery, there are 10 tickets, and 3 of them are winning tickets. What is the probability of selecting a winning ticket?
Q. In a lottery, there are 10 tickets, of which 2 are winning tickets. What is the probability of selecting a winning ticket?
Q. In a lottery, there are 10 tickets, of which 3 are winning tickets. What is the probability of selecting a winning ticket?
Q. In a lottery, there are 100 tickets, and 10 of them are winning tickets. If one ticket is drawn at random, what is the probability that it is a winning ticket?
Q. In a lottery, there are 100 tickets, and 10 of them are winning tickets. What is the probability of selecting a winning ticket?
Q. In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?
Q. In a normal distribution, what percentage of data lies within one standard deviation of the mean?
Q. In a normal distribution, what percentage of data lies within one standard deviation from the mean?
Q. In a sequence defined by a_n = 2^n, what is the 5th term?
Q. In a sequence defined by a_n = 2^n, what is the value of a_5?