For a set of five true/false questions, no student has written all correct answers, and no two students have given the same sequence of answers. What is the maximum number of students in the classes, for this to be possible?

For a set of five true- or -false questions no students has written the all - correct answer ,and no two students have given the same sequence of answer. What is the maximum number of students in the class , for this to be possible?

For a set of four multiple choice questions with three options (multiple correct possible), no two students have given the same sequence of answers. What is the maximum number of students that sat for the test, for this to be possible, given that each student attempts all the questions. No student gives all the correct answers?

After polling a class of 20 music students by a show of hands, you find that 8 students play the guitar and 9 students play the piano. Given that information, what is the minimum number of students in this music class who play both the guiter and the piano?

There are 60 questions in a question paper. If no two students solve the same combination of questions but solve equal number of questions, then the maximum number of student who appeared in the examination, is

Given below (figure) is the bar graph indicating the marks obtained out of 50 in mathematics paper by 100 students. Read the bar graph and answer the following questions: It is decided to distribute work books on mathematics to the students obtaining less then 20 marks, giving one workbook to each of such students. If a work book costs Rs.5, what sum is required to buy the work books? Every student belonging to the highest mark group is entitled to get a prize of Rs. 10. How much amount of money is required for distributing the prize money? Every student belonging to the lowest mark-group has to solve 5 problems per day. How many problems, in all, will be solved by the students of this group per day? State whether true or false. 17% students have obtained marks ranging from 40 to 49. 59 students have obtained marks ranging from 10 to 29. What is the number of students getting less than 20 marks? What is the number of students getting more than 29 marks? What is the number of students getting marks between 9 to 40? What is the number of students belonging to the highest mark group? What is the number of students obtaining more than 19 marks?

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992. What is the probability that the 2 students have the same birthday?

The following pie-chart shows the number of students admitted in different feculties of a college. If 1000 students are admitted in Science answer the following: (i) What is the total number of students? (ii) What is the ratio of students in science and arts?

The students in a class can be divided into groups of 2, 3, 5 and 6. What is the least number of children this class can have.

A question paper has 20 questions, the answer to each of which is either true or false. A student scores 3 marks for every correct answer and loses 2 marks for every incorrect answer. If a student scores 25 marks, find the number of questions he answered correctly and the questions he answered incorrectly.