Gate Exam

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football.then no. of person playing neither hockey nor football is
(1).2
(2).17
(3).13
(4).3

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Gate Other Question

the sum of n terms of series 4+44+444+4444+44444+ ......is
(1) (4/81)[10^(n+1)-9n-1]
(2) (4/81)[10^(n-1)-9n-1]
(3) (4/81)[10^(n+1)-9n-10]
(4) (4/81)[10^n-9n-10]
var of x 5/3 and e of x is one .find var of y