Joint CSIR-UGC Test For Junior Research Fellowship And Eligibility for Lectureship Help join

Joint CSIR-UGC Test For Junior Research Fellowship And Eligibility for Lectureship 

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NBHM Model Questions

NBHM MA/MSc Scholarship Tests -  Old Question Papers and Keys 

1. October 2005                         - Key Oct. 2005

2. September 2006                    -  Key Sep. 2006

3. September 2007                    -  Key Sep. 2007

4. September 2008                    -  Key Sep. 2008

5. September 2009                    -  Key Sep. 2009

6. September 2010                    -  Key Sep. 2010

7. September 2011                    -  Key Sep. 2011

8. September 2012                    -  Key Sep. 2012

9. September 2013                    -  Key Sep. 2013

NBHM PhD Scholarship Test papers & Keys

1. June 2005                            -  Key June 2005

2. February 2006                      -  Key Feb. 2006

3. January 2007                        -  Key Jan. 2007

4. February 2008                      -  Key Feb. 2008

5. January 2009                        -  Key Jan. 2009 

6. January 2010                        -  Key Jan. 2010

7. January 2011                        -  Key Jan. 2011

8. January 2012                        -  Key Jan. 2012

9. January 2013                         - Key Jan. 2013

10. January 2014                       - Key Jan. 2014

Tamilnadu TRB - Direct Recruitment of Lecturers in Government Polytechnic Colleges

Teachers Recruitment Board

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CSIR NET JUNE 2014 - DATE EXTENTED

Mon Mar 03 2014, 12:35:06 PM

Read the Instructions Carefully, keep the data ready as required in the application form and then click 'APPLY ONLINE' button located at the bottom of the page.
::Advertisement No.: 14J	::Exam Date: 22-06-2014
::Date of Start for Online Submission: 10-02-2014	::Date of Close of Online Submission: 14-03-2014
::Last Date of Receipt of Duly Completed Hard Copy of Online Application Forms:19-03-2014	::Last Date of Receipt of Duly Completed Hard Copy of Online Application Forms(From Remote Areas): 25-03- 2014
::Age will be calculated as on: 01-01-2014

Joint CSIR-UGC Test For Junior Research Fellowship And Eligibility for Lectureship Tentatively on 22nd June, 2014

Mon Mar 10 2014, 11:52:50 AM

Read the Instructions Carefully, keep the data ready as required in the application form and then click 'APPLY ONLINE' button located at the bottom of the page.
::Advertisement No.: 14J	::Exam Date: 22-06-2014
::Date of Start for Online Submission: 10-02-2014	::Date of Close of Online Submission: 14-03-2014
::Last Date of Receipt of Duly Completed Hard Copy of Online Application Forms:19-03-2014	::Last Date of Receipt of Duly Completed Hard Copy of Online Application Forms(From Remote Areas): 25-03-2014
::Age will be calculated as on: 01-01-2014

CSIR-NET Mathematical Sciences (Tentative ANSWER-KEY) - DEC.2013

CODE-B
Q2-1             Q4-3           Q5-3       Q7-3         Q8-1        Q9-2    Q10-3   Q11-1    Q12-4
Q14-4
Q15-1
Q16-3
Q18-4
Q19-2
Q20-3
Q22-2
Q23-4
Q24-3
Q25-2
Q26-2
Q28-2
Q30-1
Q51-1
Q52-3
Q53-3
Q54-2
Q55-4
Q57-4
Q59-2
Q60-3
Q64-2,3,4
Q72-4
Q73-1,2,3
Q87-2,3.

Pls Comment answers for other questions.

Sample Questions for Government Polytechnic Lecturer- TRB Exam (Maths)

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Mathematics  - Numerical Analysis (Click here)

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CSIR NET /SET/ NBHM / GATE / TRB Mathematics: linear algebra

CSIR NET /SET/ NBHM / GATE / TRB Mathematics: linear algebra

linear algebra

Vector Space 

Definition  

Suppose that

V is a set upon which we have defined two operations: (1) vector addition, which combines two elements of V and is denoted by “+”, and (2) scalar multiplication, which combines a complex number with an element of V.

 . Then V, along with the two operations, is a vector space over C if the following ten properties hold.

• AC Additive Closure
  If u,v∈V, then u+v∈V.
• SC Scalar Closure
  If α∈C and u∈V, then αu∈V.
• C Commutativity
  If u,v∈V, then u+v=v+u.
• AA Additive Associativity
  If u,v,w∈V, then u+(v+w)=(u+v)+w.
• Z Zero Vector
  There is a vector, 0, called the zero vector, such that u+0=u for all u∈V.
• AI Additive Inverses
  If u∈V, then there exists a vector −u∈V so that u+(−u)=0.
• SMA Scalar Multiplication Associativity
  If α,β∈C and u∈V, then α(βu)=(αβ)u.
• DVA Distributivity across Vector Addition
  If α∈C and u,v∈V, then α(u+v)=αu+αv.
• DSA Distributivity across Scalar Addition
  If α,β∈C and u∈V, then (α+β)u=αu+βu.
• O One
  If u∈V, then 1u=u.

The objects in V are called vectors, no matter what else they might really be, simply by virtue of being elements of a vector space.