Mathematics Syllabus (JEE Main)

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Q. In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how many numbers are there?
  • A. 6
  • B. 7
  • C. 8
  • D. 9
Q. In a survey, 60% of people like tea, 30% like coffee, and 10% like both. What is the probability that a person likes coffee given that they like tea?
  • A. 0.5
  • B. 0.3
  • C. 0.2
  • D. 0.1
Q. In a survey, 60% of people like tea, and 40% like coffee. If a person is chosen at random, what is the probability that they like coffee given that they do not like tea?
  • A. 0.4
  • B. 0.6
  • C. 0.5
  • D. 1
Q. In a survey, 60% of people prefer tea over coffee. If 10 people are surveyed, what is the expected number of people who prefer tea?
  • A. 4
  • B. 6
  • C. 8
  • D. 10
Q. In a survey, 60% of people prefer tea over coffee. If 50 people are surveyed, how many prefer tea?
  • A. 30
  • B. 25
  • C. 35
  • D. 40
Q. In a survey, 70% of people like chocolate. If 10 people are surveyed, what is the expected number of people who like chocolate?
  • A. 5
  • B. 7
  • C. 8
  • D. 6
Q. In a survey, 70% of people like chocolate. If 200 people are surveyed, how many like chocolate?
  • A. 140
  • B. 150
  • C. 160
  • D. 170
Q. In a survey, 70% of people like chocolate. If 200 people were surveyed, how many like chocolate?
  • A. 140
  • B. 150
  • C. 160
  • D. 170
Q. In a survey, 70% of people like tea and 30% like coffee. If a person is chosen at random, what is the probability that they like tea given that they do not like coffee?
  • A. 1/3
  • B. 2/3
  • C. 1/2
  • D. 1
Q. In a survey, 70% of people like tea and 40% like coffee. If 30% like both, what is the probability that a person likes coffee given that they like tea?
  • A. 0.4
  • B. 0.3
  • C. 0.5
  • D. 0.6
Q. In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea and coffee, what is the probability that a person likes coffee given that they like tea?
  • A. 0.4
  • B. 0.3
  • C. 0.5
  • D. 0.6
Q. In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea and coffee, what is the probability that a person likes tea given that they like coffee?
  • A. 0.5
  • B. 0.7
  • C. 0.3
  • D. 0.4
Q. In a survey, 70% of people prefer tea over coffee. If 10 people are surveyed, what is the probability that exactly 7 prefer tea?
  • A. 0.193
  • B. 0.200
  • C. 0.250
  • D. 0.300
Q. In a survey, 70% of people prefer tea over coffee. If 10 people are surveyed, what is the expected number of tea drinkers?
  • A. 5
  • B. 7
  • C. 8
  • D. 6
Q. In a survey, 70% of people prefer tea over coffee. If 50 people are surveyed, how many prefer tea?
  • A. 30
  • B. 35
  • C. 40
  • D. 45
Q. In an arithmetic series, if the first term is 5 and the last term is 45, and there are 10 terms, what is the common difference?
  • A. 4
  • B. 5
  • C. 3
  • D. 2
Q. In how many ways can 3 boys and 2 girls be seated in a row?
  • A. 30
  • B. 60
  • C. 120
  • D. 24
Q. In how many ways can 3 different colored balls be arranged in a line?
  • A. 6
  • B. 3
  • C. 9
  • D. 12
Q. In how many ways can 3 different colored balls be chosen from a set of 7?
  • A. 35
  • B. 21
  • C. 42
  • D. 56
Q. In how many ways can 3 men and 2 women be arranged in a line if the men must be together?
  • A. 60
  • B. 120
  • C. 30
  • D. 24
Q. In how many ways can 3 red balls and 2 blue balls be arranged in a row?
  • A. 10
  • B. 15
  • C. 20
  • D. 25
Q. In how many ways can 3 red, 2 blue, and 1 green balls be arranged in a line?
  • A. 60
  • B. 120
  • C. 30
  • D. 10
Q. In how many ways can 4 different books be chosen from a shelf of 10 books?
  • A. 210
  • B. 120
  • C. 240
  • D. 300
Q. In how many ways can 4 different books be selected from a shelf of 10 books?
  • A. 210
  • B. 120
  • C. 240
  • D. 300
Q. In how many ways can 4 different colored balls be arranged in a line?
  • A. 16
  • B. 24
  • C. 32
  • D. 48
Q. In how many ways can 4 different colored balls be placed in 3 different boxes?
  • A. 81
  • B. 64
  • C. 27
  • D. 12
Q. In how many ways can 4 different prizes be awarded to 3 students?
  • A. 12
  • B. 24
  • C. 36
  • D. 48
Q. In how many ways can 4 different prizes be distributed among 3 students?
  • A. 81
  • B. 64
  • C. 27
  • D. 12
Q. In how many ways can 4 students be selected from a group of 10?
  • A. 210
  • B. 120
  • C. 240
  • D. 300
Q. In how many ways can 5 different colored balls be arranged in a box?
  • A. 60
  • B. 120
  • C. 100
  • D. 80
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