Revision and Practice Time Set In a survey conducted among 500 grade 10 students studying in a school, it was found that the ratio of the number of students preferring Mathematics and Nepali was 2: 1 . Among them, one-fifth of the students preferred both the subjects but 30% preferred neither Mathematics nor Nepali. (a) If M and N represent the sets of students who preferred Mathematics and Nepali respectively, write the set of students who preferred both the subjects in cardinality notation. (b) Represent the above information in a Venn-diagram. (c) Find the number of students who preferred at most one subject. [1K] [1U] [3A] (d) By how many times was the number of students who preferred Mathematics only more than the number of students who preferred Nepali only? 1HAI 35 ft. J ​