Millionaire Mode

Groups and Subgroups

Question 1 of 15

Let G be a group and H a subset of G. Which of the following conditions is necessary for H to be a subgroup of G?

  1. H is non-empty.
  2. H is closed under the group operation.
  3. H contains the identity element of G.
  4. All of the above.

Prize Money

15₹7 Crores
14₹1 Crore
13₹50,00,000
12₹25,00,000
11₹12,50,000
10₹6,40,000
9₹3,20,000
8₹1,60,000
7₹80,000
6₹40,000
5₹20,000
4₹10,000
3₹5,000
2₹2,000
1₹1,000