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Old January 16th, 2014, 03:09 PM
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Join Date: Jun 2013
Default Re: CSIR NET Mathematical Science Previous Papers I & II

Here I am giving you question paper for the CSIR NET Mathematical Science examination in PDF files attached with it so you can get it easily.

Some questions are given below :

38. Let K be an extension of the field Q of rational numbers
1 If K is a finite extension then it is an algebraic extension
2 If K is an algebraic extension then it must be a finite extension
3 If K is an algebraic extension then it must be an infinite extension
4 If K is a finite extension then it need not be an algebraic extension

39. Consider the group S9 of all the permutations on a set with 9 elements. What is the largest order of a permutation in S9 ?
1 21
2 20
3 30
4 14

40. Suppose V is a real vector space of dimension 3. Then the number of pairs of linearly independent vectors in V is 1 one 2 infinity 3 e3 4 3

83. Which of the following statements involving Euler's function  is/are true?
1. (n) is even as many times as it is odd
2. (n) is odd for only two values of n
3. (n) is even when n > 2
4. (n) is odd when n = 2 or n is odd.

84. Let p be a prime number and |(1)dp. Then which of the following statements about the congruence xd 
1 (mod p) is/are true?
1. It does not have any solution
2. It has at most d incongruent solutions
3. It has exactly d incongruent solutions
4. It has at least d incongruent solutions.
Attached Files Available for Download
File Type: pdf CSIR NET Mathematical Science paper 1.pdf (1.77 MB, 35 views)
File Type: pdf CSIR NET Mathematical Science paper.pdf (398.8 KB, 48 views)
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