IIT JAM
   Top Resources
Arindam Chaki posted an Question
October 03, 2021 • 00:45 am 30 points
  • IIT JAM
  • Mathematics (MA)

17. (from the gre practice exam)* letp and q be distinct primes. suppose that h is a proper subset of the integers that is a group un- der addition that contain

17. (From the GRE Practice Exam)* Letp and q be distinct primes. Suppose that H is a proper subset of the integers that is a group un- der addition that contains exactly three elements of the set {p, pq. pq. p', q'}. Determine which of the following are the three elements in H. a. pq, p', q" b. pt 4. pq. P" C. p.p tq, pq d. p.p'.t e. p, pg, p" 2

1 Answer(s) Answer Now
  • 0 Likes
  • 2 Comments
  • 0 Shares
  • Sai

    Option E...check it with taking p=2 and q=3 then infer the result

  • Anonymous User best-answer

    options E The additive subgroups of Z are all of the form {kn:k∈Z} for an integer n. In other words H consists of all multiples of some integer n. Here n can't be 1 or −1since it is a proper subgroup. The only subset of the 5-member set that consists of multiples of a single integer n≠1or −1 are {p,pq,p^q} which are all multiples of p. 

    eduncle-logo-app

    read sending answers

    eduncle-logo-app

    {2,3,2+3,2.3,2^3,3²} be a group. select multiple of 2= {2,2.3,2^3}

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers

Sign Up to Download FREE Study Material Worth Rs. 500/-