Modern Math
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Q. If the universal set U = {1, 2, 3, 4, 5, 6} and set A = {2, 4, 6}, what is the complement of set A?
Q. If the universal set U has 100 elements, set A has 40 elements, and set B has 30 elements with 10 elements in both A and B, how many elements are in neither A nor B?
Q. If two dice are rolled, what is the probability that the sum is greater than 10?
Q. If two dice are rolled, what is the probability that the sum of the numbers on the dice is 7?
Q. In a certain city, the probability of a person being a smoker is 0.3. If two people are selected at random, what is the probability that both are smokers?
Q. In a certain city, the probability of rain on any given day is 0.1. What is the probability that it does not rain on a particular day?
Q. In a certain game, the probability of winning is 0.3. If a player plays the game 5 times, what is the probability of winning at least once?
Q. In a certain mathematical context, if 'A' is a subset of 'B', which of the following is necessarily true?
Q. In a certain mathematical model, if 'x' is directly proportional to 'y', which of the following equations represents this relationship?
Q. In a class of 30 students, 18 students study Mathematics, 15 study Science, and 10 study both subjects. How many students study only Mathematics?
Q. In a class of 30 students, the probability of a student being selected for a project is 0.4. What is the expected number of students selected?
Q. In a class of 40 students, 25 study English, 15 study Mathematics, and 10 study both. How many students study only English?
Q. In a class of 40 students, 25 study English, 20 study Mathematics, and 10 study both. How many study only Mathematics?
Q. In a class of 50 students, 20 study English, 25 study Hindi, and 10 study both. How many students study only one language?
Q. In a class of 50 students, 20 study English, 25 study Hindi, and 10 study both. How many students study only Hindi?
Q. In a class of 50 students, 20 study English, 25 study History, and 10 study both. How many students study only History?
Q. In a class of 50 students, 20 study English, 25 study Mathematics, and 10 study both. How many students study only one subject?
Q. In a class of 50 students, 20 study History, 25 study Geography, and 10 study both. How many students study only Geography?
Q. In a class of 50 students, 20 study Mathematics, 25 study Science, and 10 study both. How many students study only Science?
Q. In a class of 50 students, 25 study English, 20 study Hindi, and 5 study both. How many students study only one language?
Q. In a class of 50 students, 30 study English, 25 study Mathematics, and 10 study both. How many study only Mathematics?
Q. In a class of 60 students, 25 study History, 30 study Geography, and 10 study both. How many students study only Geography?
Q. In a class of 80 students, 50 like English, 30 like Hindi, and 10 like both. How many students like only Hindi?
Q. In a class of 80 students, 50 like history, 30 like geography, and 10 like both. How many students like only geography?
Q. In a class of 80 students, 50 study English, 40 study Hindi, and 20 study both. How many students study only Hindi?
Q. In a class, 12 students play cricket, 10 play football, and 5 play both. How many students play only cricket?
Q. In a class, 12 students play cricket, 15 play football, and 5 play both. How many students play either cricket or football?
Q. In a class, 25 students play cricket, 20 play football, and 5 play neither. How many students play at least one sport?
Q. In a class, 25 students study English, 20 study Hindi, and 5 study both. What is the number of students studying only Hindi?
Q. In a game, the probability of winning is 0.25. If a player plays 4 times, what is the probability of winning at least once?
