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In a class of 55 students, the number of students studying different subjects are 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. Find the number of students who have taken exactly one subject.

In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Consider the following statements : 1. The number of students who had taken only one subject is equal to the number of students who had taken only two subjects. 2. The number of students who had taken at least two subjects is four times the number of students who had taken all the three subjects. Which of the above statements is/are correct ?

The distance (in km) of 40 engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12 Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0-5 (5 not included). What main features do you observe from this tabular representation?

Read the following information carefully to answer the questions that follow. In a survey of 25 students, it was found that 15 have taken Mathematics. 12 have taken Physics and 11 taken Chemistry, 5 have taken Mathematics and Chemistry, 9 have taken Mathematics and Physics, 4 have taken Physics and Chemistry and 3 have taken all the three subjects. Consider the following statements I. The number of students who have taken only one subject is equal to the number of students who have taken only two subjects. II. The number of students who have taken at least two subjects is four times the number of students who have taken all the three subjects. Which of the above statement(s) is/are correct?

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In Class XI of a certain school, there are 30 students in a Mathematics class and 20 students in Biolog class. Find the number of students which are in Mathematics class or in Biology class in the following cases: (i) Two classes are conducted at the same time. (ii) Two classes are condcuted at different time and 5 students study both the subject