Joint UGC CSIR NET exam, June 2012 - Answer Keys

CSIR Published the Answer Keys of NET June 2012 Exam.
 The answer key will be available on its website for a period of one week only from 7th – 14th August, 2012. Thereafter it will be taken off from its website.

Joint CSIR UGC NET Exam Question Papers' Answer Keys
Exam Date	Subject	Answer Keys
June 2012	Chemical Sciences  Earth Sciences  Life Sciences  Mathematical Sciences  Physical Sciences	Keys  Keys  Keys  Keys  Keys

Note1: Please note that all paper are in Acrobat PDF format require Acrobat Reader to open.

Joint CSIR-UGC NET for JRF and Elegibility for Lectureship

Notice

It is notified for information of all students that syllabus of Part A of Joint

CSIR-UGC Test for Junior Research Fellowship and Eligibility for Lectureship has

been revised. Revised syllabus is as under:

Revised Syllabus

General Aptitude with emphasis

On logical reasoning, graphical

analysis, analytical and numerical

ability, quantitative comparison,

series formation, puzzles etc.

The number of questions available and to be attempted in this Part A remains the same

i.e there will be 20 questions and the candidates shall be required to answer any 15 questions. Each question will be of two marks.

The model question in the revised syllabus is available here.  

Joint CSIR-UGC NET Exam June 2012 - Question Papers

 Joint CSIR-UGC NET Exam June 2012 -  (Actual) Question Papers

Joint CSIR UGC NET Exam Question Papers
Exam Date	Subject
June 2012	Chemical Sciences  Earth Sciences  Life Sciences  Mathematical Sciences  Physical Sciences

Note: Please note that all paper are in Acrobat PDF format require Acrobat Reader to open.

Source: www.csirhrdg.res.in

CSIR NET –JUNE 2012

Part-A

1.      1) Find the area of the shaded region in the given fig.

Solution:

          Radius of  the circle = 2cm

          Sides of  the square =2√2

          Area of  the shaded region=(Area of  the circle-Area of  the square)/4

                                                            =  (πr² - a²)/4

                                                =  (4π - 8)/4

                                                = π-2

2.      2) The angles of  a  right angle triangular garden are in arithmetic progression. The smallest side of  the garden is 10m. Then Howmany meters  is needed to fence the garden ?

1)      10       2) 47       3) 60      4)

3. From  the following semicircle, AQ=2AP then which of  the following is correct?

1)      ∟AQP=2∟APB

2)      ∟AQB=∟APB

3)      ∟AQB > ∟APB

4)      ∟AQB < 2∟APB

4. Two types of rabbit community are A&B. Type A’s population is increasing 25% per year. Type B’s population is increasing 50% per year. In the present year both are equal. Then after two years  ratio of  the  population  of B and  A is ,

1)      1      

2)      1.72

3)      1.94

4)      1.47  

5. From the fig which of the following is correct?

1)      a + ab + ab² +………..= a/(1-b),  │b│<1

2)      a > b then a³ > b³

3)      (a+b)²  = a ² + 2ab + b²

4)      a > b then  -a < -b

CSIR NET MATHEMATICAL SCIENCE JUNE 2012 QUESTION & ANSWER CSIR NET MATHEMATICAL SCIENCE JUNE 2012 QUESTION & ANSWER, CSIR NET MATHS JUNE 2012 QUESTION & ANSWER, CSIR NET MATHEMATICS JUNE 2012 QUESTION & ANSWER (Memory Based)

Part C

1. If f is an entire function and Im f > 0 then
   1) Re f is constant   2) f is constant    3) f = 0     4) f' is a non-zero constant
2.  Let C be an n x n matrix. Let V be a vector space spanned by {I, C, C^2, ... C^2n}. Then dim V is
   1) n^2     2) 2n       3) at most n^2             4) at most 2n
3. Let N be a 3x3 non-zero matrix with the property that N^2 = 0. Then
   1) N is not similar to a diagonal matrix    2) N is  similar to a diagonal matrix 
   3) N has one non-zero eigen vector    4) N has three linearly independent  eigen vectors
   
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CSIR NET MATHEMATICAL SCIENCE JUNE 2012 QUESTION & ANSWER

CSIR NET MATHEMATICAL SCIENCE JUNE 2012 QUESTION & ANSWER,
CSIR NET MATHS JUNE 2012 QUESTION & ANSWER,
 CSIR NET MATHEMATICS JUNE 2012 QUESTION & ANSWER

Part B 

1. The number of words that can be formed permuting the letters of the word 'MATHEMATICS' is ...........
   Answer:
   number of letters in the word 'MATHEMATICS'   = 11.In  the word 'MATHEMATICS'  M occurs 2 times, A 2 times, T 2 times, other letters 1 time. Required number of permutations =  11!/ 2! 2! 2! = 4989600.
2. Number of divisors of 50,000 = ............
   Answer:  Factorise 50,000 as 5 x 10,000 = 5 x 10^4 = 5 x 2^4 x 5^4 = 2^4 x 5 ^ 5.
                   Number of divisors of 50,000 = ( 4+1) (5+1) = 30.
3. The radius of convergence of the series
4. satisfies  |z-1| < root 3
5. Last digit in the number (38)^ 2011 is ............ Ans: 2
6. √2e^iπ   is?

1)      Rational Number

2)      Irrational Number

3)      Imaginary Number

^{4)       transcendental}

7. The Second order PDE 4u_xx – yu_yy  + λu = 0  is

1)      Elliptic in the region y=0

2)      Parabolic in the region y < 0

3)      Elliptic in the region y < 0

⁴⁾       Hyperbolic in the region y < 0     

8. Which of the following is correct?

1)      Rank (A+B)  = Rank A+ Rank B

2)      Rank (A+B)  ≤ Rank A+ Rank B

3)      Rank (A+B)   ≤ min{Rank A,  Rank B}

4)      Rank (A+B)   ≤ max{Rank A,  Rank B}

                                                                                                                                                                                         Other questions' answers 

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