Millionaire Mode

Modules

Question 1 of 16

Let $R$ be a ring and $M$ be a left $R$-module. Which of the following statements is true?

  1. The set of all submodules of $M$ forms a group under the operation of addition.
  2. The set of all submodules of $M$ forms a ring under the operation of addition and multiplication.
  3. The set of all submodules of $M$ forms a field under the operation of addition and multiplication.
  4. The set of all submodules of $M$ forms a vector space over the field of real numbers.

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