Csir net mathematics science question solution Dec 2017

Question- A new tyre can be used for at most 90 km. What is the maximum distance (in km) that can be covered by a three wheeled vehicle carrying one spare heel, all four tyres being new ?
Solution:

CSIR Net Mathematics Exam june 2018- practice test

Test for CSIR Net Mathematics Exam- 
Real analysis Topic - Countability 

1. A  set S is said to be countable if
Options:
a) there exists an injection from S to N
b) there exists a surjection from  N to S
c) it is a subset of a countable set
d) all the these

2. which of the followings set is not countable?
Options:
a) subset of an uncountable set
b) countable union of countable set
c) finite product of countable sets
d) countably infinite product of countable sets

3. The power set of a finite set is
Options:
a) finite
b) infinite
c) uncountable
d) none of these

4. The set of all binary sequence is
Options:
a) countable
b) uncountable
c) countably infinite
d) denumberable

5. The cardinality of set of algebraic numbers is equal to that of
Options:
a) Natural numbers
b) Real numbers
c) set of all binary sequences
d) b,c

6. which of the following sets are uncountable?
a) set of all functions f such that f :R->R
b) set of all functions f such that f: N-> Z2
c) set of all functions f such that f: Z2 -> N
d) set of all polynomials P : R->R

Options:
a) c
b) a,b
c) a,b,d
d) b,d

7. The collections of all isolated points of any set is
Options:
a) countable
b) uncountable
c) not enough information
d) finite

8. cantor set is ?

Options:
a) countable
b) finite
c) uncountable
d) countably finite

9. The cardinality of all disjoint intervals is not equals to
Options:
a) natural numbers
b) real numbers
c) algebraic numbers
d) rational numbers

10. set of all subsets of N are
Options:
a) countable
b) uncountable
c) finite
d) countably finite

Dowload CSIR Net/Jrf Mathematics Previous year question papers / answer keys

Hello all, as per the demand and need of all the students i am providing the link to get the previous years papers with answer keys. I have tried my best to make you available all the related papers but still one or two papers or answer keys are left. If anyone has that then please send  me the link i will add it here.
Thank you all.
wish you all the best for the preparation.
Question Papers
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2018 June
Answer keys
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