Let G be a group of 35 elements. Then the largest possible size of a subgroup of G other than G itself is ______.

Let R be the set of all binary relations on the set {1,2,3}. Suppose a relation is chosen from R at random. The probability that the chosen relation is reflexive (round off to 3 decimal places) is _____.

Let G be an arbitrary group. Consider the following relations on G :

R1: ∀a,b ∈ G, aR₁b if and only if ∃g ∈ G such that a = g^-1bg

R2: ∀a,b ∈ G, aR₂b if and only if a = b^-1

Which of the above is/are equivalence relation/relations?