Csir Net/Jrf Mathematical sciences Question paper (2017-Dec ) Solutions

Booklet C - Solutions
For Question paper , click on the given link
https://drive.google.com/file/d/180749p_mMLjDFj48oR0L8kAgdcGn4tyj/view?usp=drivesdk
For questions
(1,2,3,6,7,10,11,12,13,14,15,16,21,22,23,24,25,27,29,32,36,38,39,40,44,45,46,47,48,62,66,69,72,73,74,92,98,99)

1. A person purchases two chains from a jeweller, one weighing 18 g made of 22 carat gold and another weighing 22 g made of 18 carat gold. which one of the following statements is correct ?
a. 22 carat chain contains 2/11 times more gold than 18 carat chain
b. 22 carat chain contains 1/11 times more gold than 18 carat chain
c.  Both chains contain the same quantity of gold
d. 18 carat chain contains 2/11 times more gold than 22 carat chain

 Solution 1

2. what is the volume of soil in an open pit of size 2 m * 2 m * 10 m ?
a. 40 m^3
b. 0.4 m^3
c. 0 m^3
d.  4 m^3

 Solution 2

3. what is the maximum number of cylinderical pencil of 0.5 cm diameter  that can be stood in a square shaped stand  of 5 cm * 5 cm inner cross section ?

a. 99

b. 121

c. 100

d. 105

Solution 3

6. The sum of two numbers is equal to sum of 11 and cube of 9 .The largest number is (5)^2 less than square of 25. What is the value of the sum of 24 percent of the smaller number and half of the largest number ?

a. 415

b. 400

c. 410

d. 420

Solution 6

    7: For which values of A and B is sin A = cot B ?
 
                       

   Solution 7

10 :  A rectangular flask of length 11 cm , width 8 cm and height 20 cm has water filled    up to height 20 cm has water filled up to height 5 cm . If 21 spherical marbles of radius 1 cm each are dropped in the flask, what would be the rise in water level ?

Solution 10

11 : The smallest square floor which can be completely paved with tiles of size 8 *6 without breaking ant tile , needs n tiles. Find n.

Solution 11:

 Solution 12

13. A plate of 5 m * 2 m  size with uniform thickness, weighing 20 kg, is perforated with 1000 holes of 5 cm  * 2 cm size. what is the weight of the plate(in kg) after perforation ?

Solution 13

14. Four small squares of side x are cut out of a square of 12 cm to make a tray by folding the edges. what is the value of x so that the tray has the maximum volume ?

Solution 14

                   
15. Three- quarters of a circle is shown in the figure: OA and OB are two radii perpendicular to each other. C is point on the circle.
Solution 15

16. A 2 m  long ladder is to reach a wall of height 1.75 m. The largest possible horizontal distance of the ladder from the wall could be

Solution 16

                         Solution 21

                       Solution 22

Solution 23

                        Solution 24

                   

                      Solution 27

                      Solution 29

                         Solution 32

                        Solution 36

                      Solution 38

                      Solution 39

                     Solution 40

                       Solution 44

                         Solution 45

                        Solution 46

                        Solution 47

                        Solution 48

                           Solution 66

                          Solution 64

Solution 69

Solution 72

Solution 73

Solution 74

Solution 92

Solution 98

Solution 99

Csir net/Jrf Dec - 2017

All the best to all Csir Net aspirants.

Whatever will be the situation, Give your best between 2 pm to 5 pm.

Keep hope until you finish your exam, it can be possible that one cannot be able to answer a single question  for the first 30 minutes but that doesn't mean it's all over !!

"The ball is still in your court".
Please remember these words,

With your positive thinking you can give your 100 %.

My tips in examination hall.

1)Take a small water bottle with you inside the examination hall, don't drink too much water before examination and always free yourself from any nature's call.

2) Enter at least 30 minutes so that you can relax on your seat and also fill the details accurately.

3) Most important, fill the answer key by confirming twice your answer and also don't leave it for the last rush hours, try to fill it parts by parts .

For example part A, part B, part C

You can change the sequence as per your convenience.

Csir net Dec 2017 Quiz
Question- why countable union of countable sets  is countable ?

Preparation for Csir Net/jrf 2017 dec

Hello everyone, 

As the result has been undeclared yet, what are your strategies for preparing again under this last month ? How you revise all study material ? Are you applying any new idea this time?

Please share your ideas in comment box.

Questions analysis for CSIR - UGC NET for JRF and Lecturer ship ( Part-B and Part-C)

• No of questions from unit-1 ->30
• No of questions from unit-2 ->20
• No of questions from unit-3 ->20
• No of questions from unit-4 ->30

Unit - 1  contains the paper Analysis and Linear Algebra.
Part- B  contains 12 questions from this unit and Part-C contains 18 questions from this unit.
Unit-2 contains the paper Complex Analysis, Topology and Algebra.
Part- B  contains 8 questions from this unit and Part-C contains 12 questions from this unit.
Unit-3 contains the paper Ordinary Differential Equations,  
Partial Differential Equations, Numerical Analysis, Calculus of Variation, Linear Integral​ Equations, Classical Mechanics.
Part- B  contains 8 questions from this unit and Part-C contains 12 questions from this unit.
Unit-4 contains the paper statistics.
Part- B  contains 12 questions from this unit and Part-C contains 18 questions from this unit.

Reference books - Real analysis

Real analysis books
Books referred for preparation of csir net mathematical science-

1) Principles of Real analysis 

     Author-  S.C Malik

2) Introduction to real analysis

     Author - Robert G. Bartle & Donald R.                              Sherbet

Csir Net/jrf Question paper june 2017 solutions -Part B

For question paper
click on the given link
http://csirhrdg.res.in/mathA_June2017.pdf



Solution 21

 Solution 22

 Solution 23

 Solution 24

Solution 26

 Solution 27

 Solution 28

 Solution 30

 Solution 31

 Solution 45

 Solution 46

Csir Net/jrf Question paper june 2017 solutions -General Aptitude

Q1. N is a two digit number such that the product of its digits when added to their sum equals N. The unit digit of N would be

1)1

2)7

3)8

4)9
Solution:

Q2. If  P + 1/Q = 1 and  Q + 1/R = 1 , then what is PQR ?

1) -1

2) 2

3) -2

4) cannot be calculated
Solution:

Q3. What is the remainder when 3^ 256 is divided by 5?

1) 1

2) 2

3) 3

4) 4
Solution:

Q4. If equal weights of 22 carat gold ( alloy of 22 parts gold and 2 parts copper by weight) and 24 carat gold ( pure gold) are mixed to form an alloy, what will be the weight proportion of copper in the alloy?

1) 1/2

2) 1/8

3) 1/12

4) 1/24
Solution:

Q5.

A 4m* 4m floor needs to be covered by tiles of size of 2m*1m. Two diagonally opposite corners of size

1m*1m should be left uncovered. How many tiles are required to complete the job without breaking the tiles or overlapping them?

1) 6

2)7

3)8

4) Impossible to cover
Solution:

Q6. If 42->26, 71->78,33->16, then 62->

1)68

2)54

3)38

4)39
Solution:

 Q8. Consider a square of side a. Fit  the largest possible circle inside it and the largest possible square inside the circle. what is the side length of the inner most square?
Solution:

Q9. Walking from my him at a speed of  5 km/hr. I am 8 minutes late in reaching my office. If  I walk at a speed of 8 Km/hr I reach 5 minutes late. How far is my office from the house?

1) 2 km

2) 1/3 km

3) 2/3 km

4) 1/2 km
Solution:

Q10. A,B and C are three distinct digits . If they are added as below

1) A = 3, B = 4 ,C = 5
2)A = 2, B = 3 ,C = 1
3)A = 5, B = 1 ,C = 3
4)A = 1, B = 8 ,C = 5
Solution:

Q12. L is the tallest and eldest of a group of five people K ,L,M,N and P. M is elder to N and shorter than K. M and P are of same age and P is taller than K. N and K are of same height and K is younger to P. Which of the following inferences is certain?

1) P is taller than M

2) N is the youngest

3) N is elder to P

4) N is elder to K
Solution:

Q13. If the product of three consecutive positive integers is equal to their sum, then what would be the sum of their squares?

1) 9

2)14

3)16

4)24
Solution:

Q16. If NET14 & NET15 are five digit numbers such that their sum =157229, then N + E + T would be

1)15

2)21

3)25

4)72
Solution:

Q17. A cylindrical cake is to be cut into 16 equal pieces. What is the minimum number of cuts required to do so?

1)9

2)3

3)8

4)5
Solution:

Q19.

Pre-Ph.D exam score pf 10 students are plotted against their M.Sc. marks. Which of the following is true?

1) Two students have scored better in Pre-Ph.D than their M.Sc. exam.

2) All those students who scored 50% in Pre- Ph.D scored more percentage of marks in their M.Sc. exam.

3) Two students scored the same percentage of marks in their Pre-Ph.D and M.Sc. exams

4) The student who scored maximum in M.Sc. is the only student to get maximum in Pre-Ph.D exam

Solution:

Q20. With reference to the right- angled triangle shown, what is the value of sin(A)cos(B) + cos(A)cos(B) ?

1. -1/2
2. 1
3. 1/2
4. -1
Solution: