If S and T are two sets such that S has 21 elements, T has 32 elements, and S∩T has 11 elements, how many elements does S∪T have?
In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?
Write the following sets in the set-builder form
Statements: No house is school. All colleges are schools. All schools are teachers. Conclusions: I No house is teachers. II All colleges are teachers. III Some teachers are houses. IV Some colleges are not houses.
The diagram below represents the students who study Physics, Chemistry and Mathematics. Study the diagram and identify the region which represents the students who study Physics and Mathematics but not Chemistry.
Directions: In each of the following questions below, a statement is given followed by two conclusions numbered I and II. You have to decide which alternative among the given options follow from the given statement. Statement: In a one day cricket match, the total runs made by a team were 200. Out of these 160 runs were made by spinners. Conclusions: I. 80% of the team consists of spinners. II. The opening batsmen were spinners.