In a group of 100 children, 65 are boys. 40 children like to read. Which of these statements is false?

(i) Atleast 5 boys like to read.

(ii) No girl may like to read.

Since there are 65 boys in a group of 100, the remaining 35 are girls.

Now, 40 children like to read. Even if we assume that all 35 girls like to read, there will be 5 more children who like to read.

These definitely have to be boys. Hence, atleast 5 boys like to read.

Hence, statement (i) is not false.

Since there are 65 boys and fewer children (i.e. 40) like to read, there is a possibility that all 40 children who like to read are boys.

In this case, no girl likes to read.

Hence, statement (ii) is not false.

Hence, neither statement is false.

Hence, option d.