Question

6. Q.N
The negation of some students like football" is
(A) Some students dislike football
(B) Every student dislikes football
(C) Every student likes football
(D) Some students like football​

Answer 1

(A) Some students dislike football

Answer 2

Negation of the given statement is "some students dislike football"

Explanation:

1. let there be a set denoted by A in an universal set denoted by U. Then, compliment of set A denoted by A' is given by,  $A'=(U-A)$    
2. in this case given that some boys like foot ball, then let the set of these students be A
3. now, the set of total students is the universal set here and the set of students who dislikes football is given by A'
4. hence, $A'=U-A= total\ students - some\ students$    

                     $A'=some\ students\ out\ of\ total$  

    5. therefore, negation of "some students like football" is option(A) some

         students dislikes football.