1.In a town with a population of 5000, 3200 people are egg-eaters,2500 meat eaters and 1500 eat both egg and meat. How many are pure vegetarian?
2.In a class of 140 students, 60 play football: 68 play hockey ; and 75 play cricket 30 play hockey and cricket ; 18 play football and cricket 42 play football and hockey and 8 play all the three games. Use Venn diagram to find
i) students who do not play any of these three games
ii) students who play only cricket,
iii) students who play football and hockey, but not cricket.
3.Every student in a class of 44 students, studies at least one of the subjects, Mathematics, English and Commerce, 16 students study Mathematics,20 Commerce and 24 English. 3 students study Mathematics and English,2 English and Commerce and there is no student who studies all the three subjects. Find the number of students who study Mathematics but not Commerce.
4.The digits of a positive integer having three digits are in A.P. and their sum is 15. The number obtained by reversing the digits is 594 less than the original number. Find the number.
5.The first and the last terms of an A.P. are -4 and 146 and the sum of the A.P is 7171. Find the number of terms in the A.P. and the common dfference.
6.Find the sum of all natural numbers between 100 and 1000 which are multiples of 5
7. Show that the sum of first n even natural numbers is equal to (1+1/n) times the sum of the first n odd natural numbers.
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