CSIR NET MATHEMATICS JUNE 2015 QUESTION PAPER

CSIR NET MATHEMATICS JUNE 2015 QUESTION PAPER ...

download the csir net mathematics december 2014 question paper

CSIR NET MATHEMATICS DECEMBER 2014 QUESTION PAPER is now available at http://mathexamtips.blogspot.in .Soon we are going to provide the clear solutions of CSIR NET MATHEMATICS DECEMBER 2014 QUESTION PAPER ...

download the csir net mathematics june 2014 question paper

CSIR NET MATHEMATICS JUNE 2014 QUESTION PAPER is now available at http://mathexamtips.blogspot.in .Soon we are going to provide the clear solutions of CSIR NET MATHEMATICS JUNE 2014 QUESTION PAPER ...

100 SOLVED QUESTIONS FOR CSIR,GATE, SET AND OTHER COMPETITIVE EXAMS-PART 3

100 SOLVED QUESTIONS FOR CSIR,GATE, SET AND OTHER COMPETITIVE EXAMS-PART 3 Question 10: Let H=\{e,(12)(34)\} and K=\{e,(12)(34),(13)(24),(14)(23)\} be subgroup of S_4, where e denotes the identify element of S_4. Then H and K are normal subgroup of S_4 H is normal in K and K are normal in A_4 H is normal in A_4 but not in S_4 H is normal in S_4 but H is n...

100 SOLVED QUESTIONS FOR CSIR,GATE, SET AND OTHER COMPETITIVE EXAMS-PART2

100 SOLVED QUESTIONS FOR CSIR,GATE, SET AND OTHER COMPETITIVE EXAMS-PART 2 Question 6: The number of elements in the set \{m:1\leq m \leq 1000, m \text{ and } 1000 \text{ are relatively prime} \} is 1.~100 \quad 2.~250 \quad 3.~300 \quad 4.~400 Answer: The question asks for \phi(1000). And \phi(n) can be calculated using following formula. 1. \phi(p_1^{m_1}p_2^{m_2} \cdots p_r^{m_r}) = \phi(p_1^{m_1})\phi(p_2^{m_2}) \cdots \phi(p_r^{m_r}). 2. \phi(p^m) = \begin{cases}2^{m-1} &\text{ if } p= 2 \\ p^m - p^{m-1} &\text{...