#Q92 Given real numbers a and b such that aโคb+ฮต โ ฮต>0 then
Anonymous Quiz
20%
a=b
58%
aโคb
17%
aโฅb
5%
ab=1
#Q93 Consider the sequence {a_n} defined by a_n=n .e^(-n). Then
Anonymous Quiz
48%
{a_n} is convergent
23%
{a_n} is not convergent
17%
{a_n} is unbounded
12%
{a_n} is bounded but not monotonic
#Q94 Which of the following is true?
Anonymous Quiz
13%
If a_nโ โ and {b_n} is convergent then {a_n b_n} converges.
28%
If a_nโ โ and {b_n} is convergent then {a_n b_n} diverges to โ.
11%
If a_nโ โ and {b_n } is convergent then {a_n b_n } oscillates.
48%
lim(nโโ) a_n= l and lim(nโโ) b_n= m then lim(nโโ) a_n b_n= lm
Dec 2014 CSIR NET MS Question Paper With Answer Key.pdf
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๐๐๐ฒ ๐๐ | ๐๐ฎ๐๐ง๐๐ซ๐๐ญ๐ข๐ ๐
๐จ๐ซ๐ฆ | ๐๐ข๐ง๐๐๐ซ ๐๐ฅ๐ ๐๐๐ซ๐
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐ง๐จ๐ฐ ๐๐ง๐ ๐๐๐ ๐ข๐ง ๐ฒ๐จ๐ฎ๐ซ ๐ฃ๐จ๐ฎ๐ซ๐ง๐๐ฒ! :- https://bit.ly/4igTthn
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐ง๐จ๐ฐ ๐๐ง๐ ๐๐๐ ๐ข๐ง ๐ฒ๐จ๐ฎ๐ซ ๐ฃ๐จ๐ฎ๐ซ๐ง๐๐ฒ! :- https://bit.ly/4igTthn
Dear Friends , Today Quiz will start at 3:00 PM. Total 10 Questions - Part B - Mathematical Science. Thanks
#Q96 If, f : (0,โ) โ(0,โ) be such that |f(x)-f(y)|โค 1/2 |x-y|. Then, has f has
Anonymous Quiz
55%
One fixed point
26%
Two fixed point
7%
Three fixed point
12%
No fixed point
#Q95 Statement -1 If f is bounded, then f is uniformly continuous. Statement-2 If f is differentiable, and if f^' is bounded, then f is uniformly continuous.Then,
Anonymous Quiz
13%
Both statements are true.
10%
Both statements are false.
17%
Statement-1 is true but statement-2 is not.
61%
Statement-2 is true but statement-1 is not.
๐คฉ2โค1
#Q98 Let f(x)=sinโก(x sinโกx ) on (0,โ), then
Anonymous Quiz
19%
f(x) is uniformly continuous
36%
f(x) is not uniformly continuous
41%
f(x) can be made uniformly continuous by redefining its values on a set of Countably many points.
4%
None of the above
#Q99 Let f(x)=[2cos x ], xโ[-ฯ,ฯ] then f(x)
Anonymous Quiz
54%
is discontinuous at exactly 4 points.
29%
is discontinuous at exactly 5 points.
7%
is discontinuous at exactly 6 points.
10%
is discontinuous at exactly 7 points.
#Q100 Let f be a function f:QโQ such thatf(x+y)=f(x)+f(y). Then,
Anonymous Quiz
51%
f(q)=cq, CโQ
10%
f(q)=cq*cq
27%
f is any bounded function
12%
f is not linear
#Q101 Let f be a function f:RโR such thatf(x+y)=f(x)+f(y), then
Anonymous Quiz
71%
The set of all such functions are of the typef(x)=cx,cโR
18%
Not all functions are of the type f(x)=cx cโR
4%
f is not linear
6%
None of these
#Q102 Let f be a function such that f(x)+f(y)=f(x+y). If it is given that there exists a positive real & such that f(h)=h โ 0<h<ฮด then
Anonymous Quiz
26%
f' (2)=2
13%
f' (3)=3
15%
f' (4)=4
46%
f' (1)=1
#Q103 If f(x) is a function of bounded variation, then which of the following is/are true
Anonymous Quiz
58%
f(x) is bounded in that interval
7%
f(x) is unbounded in that interval
31%
f(x) is continuous in [a,b]
5%
f(x) is not continuous in [a,b]
#Q104 If =z ฬ
, then which of the following must hold?
Anonymous Quiz
26%
z is purely real
39%
z is purely imaginary
6%
z=0
29%
Allof the above
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๐๐๐ฒ ๐๐ | ๐๐ข๐๐ ๐จ๐ง๐๐ฅ๐ข๐ณ๐๐๐ฅ๐ | ๐๐ข๐ง๐๐๐ซ ๐๐ฅ๐ ๐๐๐ซ๐
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐ง๐จ๐ฐ ๐๐ง๐ ๐๐๐ ๐ข๐ง ๐ฒ๐จ๐ฎ๐ซ ๐ฃ๐จ๐ฎ๐ซ๐ง๐๐ฒ! :- https://bit.ly/49PVrCW
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐ง๐จ๐ฐ ๐๐ง๐ ๐๐๐ ๐ข๐ง ๐ฒ๐จ๐ฎ๐ซ ๐ฃ๐จ๐ฎ๐ซ๐ง๐๐ฒ! :- https://bit.ly/49PVrCW
June 2014 CSIR NET MS Question Paper With Answer Key.pdf
1.2 MB
More Pratice Question Enroll now: https://bit.ly/49PVrCW
Dear Friends , Today Quiz will start at 3:00 PM. Total 10 Questions - Part B - Mathematical Science. Thanks
#Q105 Which of the following property hold by real numbers but not by complex numbers?
Anonymous Quiz
13%
Field
44%
Ordered
22%
Commutative
21%
all properties are same
โค1