30 points
Time management is very much important in IIT JAM. The eduncle test series for IIT JAM Mathematical Statistics helped me a lot in this portion. I am very thankful to the test series I bought from eduncle.
Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
How to solve pls once show steps..
how to solve pls once show steps.. .. . . .. . . . . . .. . . . . . . . . .. . . . . . . . . . .. . . . . . .
1 Answer(s)
Answer Now
- 0 Likes
- 1 Comments
- 0 Shares
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/-
Anonymous User Best Answer
options C Since 5 is smallest prime divides order of group. And therefore any subgroup of Gof index 5 is Normal. and hence subgroup of index 5 is normal. 5|45 but 5² not | 45 and therefore from sylow theorem ∃ a subgroup of G of order 5. Number of such subgroups will be of 1+5k type and (1+5k) | 9 ⟹k=0 and hence ∃ unique subgroup of G of order 5, and hence it would be normal
sir how to check if HK is normal or not i.e. option 1
if H and K are normal subgroup of G then HK is also normal sub group of G
HK is also normal