In a class of 50 studens, 35 students play football, 25 students play both football as well as cricket. All the studens play at least one of the two games. How many play only cricket? (Solve with the help of venn diagram)

In a class of 100 students, 60 play cricket, 50 play volleyball and 29 play both. Find the number of students who play atleast one of the two games.

In a class of 60 students , 25 students play cricket and 20 students play tennis and 10 students play both the games. Find the number of students who play neither.

In a class of 120 students, 46 play chess, 30 play table tennis and 40 play carrom, 14 play chess and table tennis, 10 play table tennis and carrom , 8 play chess and carrom, and 30 students do not play any of these games. How many students play chess, table tennis and carrom ?

In a TV survey, it was found that 136 students watch only programme P_1 107 students watch only programme P_2 , 27 students watch only programme P_3 , 25 students watch programmes P_1 and P_2 but not programme P_3. 37 students watch programmes P_1 and P_3 but not programme P_1 53 students watch programmes P_1 and P_3 but not programme P_2 . 40 students watch all the three programmes and 80 students did not watch any programme. Find with the help of Venn diagram : There is one factor common to the polynomials p(x) and 2x^2 -7x- 15 is divided by 2x^2 -7x-15 , the remainder is ax+b , then find the value of a and b.

How many possibilites are there is each of the following ? List of games played in school is given. Students has to select any one of the games. Kho-Kho, Cricket, Football, Kabaddi, Table tennis.

Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey; 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games. The number of boys who did not play any game is