Final answer:
Three-fifths of the students participated in various games on sport day. One third of the participants took part in high jump, which is 8 students. 16 students did not take part in any games.
Step-by-step explanation:
In this question, we are given that three-fifths of the 40 students of class VI participated in various games on sport day. We need to find the fraction and number of students who took part in high jump and the number of students who did not take part in any games.
(i) To find the fraction of students who took part in high jump, we first need to find the number of students who participated in the games. Three-fifths of 40 is (3/5) * 40 = 24. Since we know that took part in high jump, the fraction of students who took part in high jump is (8/24) = 1/3.
(ii) To find the number of students who took part in high jump, we multiply the fraction (1/3) by the total number of students who participated in the games. (1/3) * 24 = 8 students took part in high jump.
(iii) To find the number of students who did not take part in any games, we subtract the number of students who participated in the games from the total number of students. 40 - 24 = 16 students did not take part in any games.