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In a class, there are 600 students. They play 5 different sports among Cricket, Football, Tennis, Hockey @cand Rugby. Further, each student plays at least one of the 5 sports. Any student who plays Cricket, also plays Football and any student who plays Tennis, also play Hockey. Any student who plays Rugby, also

plays Cricket and no student who plays Hockey, play Cricket. Further: it is known that: (a) the number of students who play Rugby is thrice the number of students who play only Hockey.

(b) the number of students who play only Football is 40 less than the number of students who play exactly

1 sport.

(c) the number of students who play Cricket is 6 less than the number of students who play Tennis.

(d) the number of students who play at most 2 sports is 310.

(e) the number of students who play only Hockey is 180 less than the number of students who play

Cricket.

(f) the number of students who play Football is 200 more than the number of students who play Hockey.

Q1. How many students are there in the class who play at most 4 sports?

Q2. How many students are there in the class who play exactly sport?

Q3. How many students are there who play both Cricket and Football?

a. 194 b. 220 c. 234 d. 344

Q4. How many students are there who play Hockey?

a. 344 b. 304 c. 220 d. 234