Let, the Sample space, S={1,2,3,4,5,6,7, 8} A={1,3,5,7} B={1,3,4,6,7,8} C={1,7,8}

31. The intersection of A and B is:
(a) A B  {1,3,7}
(b) A B  {1,3,7,8}
(c) A B  {1,3}
(d) A B  {1,3,6,7}

32. The value of A(B C) is
(a) A (B C)  {1, 2,3,5,7,8}
(b) A(B C)  {1,3,5,7}
(c) A(B C)  {1,3,5,7,8}
(d) A (B C)  {1, 4,5,7,8}

Now wait a minute. You are asking a lot of questions some of which I am sure you can do.

For example in number 31, it is clear that only 1,3,and 7 are in both A and B
Please do not ask us questions without trying yourself and posting your attempt.

I do not have your font for what is an intersection and what is a union.