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NTA NET-JRF
Dear Sirs, Kindly update all papers of NTA NET-JRF after 2015.
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rsansiya111
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ugcnet
ntanet
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Written test and Interview for MSR @IIITB
Can someone please shed some light on what questions they ask in a written test? Objective, subjective? Interview experience anyone from last year. Thank you.
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Raahul.06
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CSE EXAM 2022
??????????
Bharat Bhushan
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May 10
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Bharat Bhushan
174
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normal
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4
ISI2018-MMA-23
For $n\geq 1$, let $a_n=\frac{1}{2^2} + \frac{2}{3^2}+ \dots +\frac{n}{(n+1)^2}$ and $b_n=c_0 + c_1r + c_2r^2 + \dots + c_nr^n$,where $\mid c_k \mid \leq M$ for all integer $k$ and $\mid r \mid <1$. Then both $\{a_n\}$ ... $\{a_n\}$ is not a Cauchy sequence,and $\{b_n\}$ is Cauchy sequence neither $\{a_n\}$ nor $\{b_n\}$ is a Cauchy sequence.
rsquare
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Apr 5
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rsquare
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isi2018-mma
sequence-series
non-gate
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5
NIELIT 2021 Dec Scientist B - Section A: 30
A cylindrical vessel $60 \; \text{cm}$ in diameter is partially filled with water. A sphere $30 \; \text{cm}$ in a diameter is dropped into it. The increase in the level of water in the vessel is $:$ $2 \; \text{cm}$ $3 \; \text{cm}$ $4 \; \text{cm}$ $5 \; \text{cm}$
Anuj2000
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Mar 24
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Anuj2000
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nielit2021dec-scientistb
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6
NIELIT 2021 Dec Scientist B - Section A: 29
If $x=p, y=q$ then which of following are $p$ and $q$ respectively for pair of equations $3x-7y+10=0$ and $y-2x-3=0 :$ $ – 1, 1$ $1, 1$ $1, 0$ $0, 1$
Anuj2000
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Mar 24
by
Anuj2000
73
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nielit2021dec-scientistb
0
votes
1
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7
NIELIT 2021 Dec Scientist B - Section A: 28
$ \dfrac{1}{2}\; \log_{10}25 – 2 \log_{10}3 + \log_{10}18$ equals $:$ $18$ $1$ $\log_{10}3$ None of these
Anuj2000
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Mar 24
by
Anuj2000
96
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nielit2021dec-scientistb
0
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1
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8
NIELIT 2021 Dec Scientist B - Section A: 26
In a parallelogram $\text{ABCD, AP}$ and $\text{BP}$ are the angle bisectors of $\angle \text{DAB}$ and $\angle \text{ABC}.$Find $\angle \text{APB} :$ $85^{\circ}$ $90^{\circ}$ $94^{\circ}$ $86^{\circ}$
Anuj2000
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Mar 24
by
Anuj2000
102
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nielit2021dec-scientistb
0
votes
1
answer
9
NIELIT 2021 Dec Scientist B - Section A: 25
Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then, the ratio of the shorter side to the longer side is $:$ $1/2$ $2/3$ $1/4$ $3/4$
Anuj2000
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Mar 24
by
Anuj2000
75
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nielit2021dec-scientistb
0
votes
1
answer
10
NIELIT 2021 Dec Scientist B - Section A: 24
In a mixture of $60 \; \text{L},$ the ratio of milk and water is $2 : 1.$ If the ratio of milk and water is to be $1 : 2,$ then the amount of water to be further added must be $:$ $40 \; \text{L}$ $30 \; \text{L}$ $20 \; \text{L}$ $60 \; \text{L}$
Anuj2000
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Mar 24
by
Anuj2000
86
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nielit2021dec-scientistb
0
votes
1
answer
11
NIELIT 2021 Dec Scientist B - Section A: 23
The students in a class are seated according to their marks in the previous examination. Once it so happens that four of these students get equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible ... choose one of these by lots. How many bits of paper are required $?$ $9$ $12$ $15$ $24$
Anuj2000
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Mar 24
by
Anuj2000
87
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nielit2021dec-scientistb
0
votes
1
answer
12
NIELIT 2021 Dec Scientist B - Section A: 22
A factory employs skilled workers, unskilled workers and clerks in the proportion $8: 5: 1,$ and the wages of a skilled worker, an unskilled worker and a clerk are in the ratio $5: 2: 3.$ When $20$ unskilled workers are employed, the total daily wages of all (skilled workers, ... $200$, ₹ $90$, ₹ $28$ ₹ $150$, ₹ $108$, ₹ $60$ ₹ $250$, ₹ $50$, ₹ $18$
Anuj2000
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Mar 24
by
Anuj2000
78
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nielit2021dec-scientistb
0
votes
1
answer
13
NIELIT 2021 Dec Scientist B - Section A: 21
Directions $(19$ - $21) :$ ... $?$ $\text{PT}$ $\text{PQ}$ $\text{QR}$ $\text{TS}$
Anuj2000
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Mar 24
by
Anuj2000
84
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nielit2021dec-scientistb
0
votes
1
answer
14
NIELIT 2021 Dec Scientist B - Section A: 20
Directions $(19$ - $21) :$ ... flat will be next to that of $\text{U} ?$ $\text{Q}$ $\text{T}$ $\text{P}$ $\text{R}$
Anuj2000
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Mar 24
by
Anuj2000
64
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nielit2021dec-scientistb
0
votes
1
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15
NIELIT 2021 Dec Scientist B - Section A: 19
Directions $(19$ - $21) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. Six flats on a floor in two rows facing North and South are allotted to $\text{P, Q, R, S, T}$ ... is between $\text{Q}$ and $\text{S} ?$ $\text{T}$ $\text{U}$ $\text{R}$ $\text{P}$
Anuj2000
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Mar 24
by
Anuj2000
107
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nielit2021dec-scientistb
0
votes
2
answers
16
NIELIT 2021 Dec Scientist B - Section A: 17
Directions $(14 - 18) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. $\text{M}$ and $\text{N}$ are good at hockey and volleyball. $\text{O}$ ... Who is good at cricket, baseball and volleyball $?$ $\text{Q}$ $\text{P}$ $\text{O}$ $\text{N}$
Anuj2000
answered
in
Others
Mar 24
by
Anuj2000
99
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nielit2021dec-scientistb
0
votes
1
answer
17
NIELIT 2021 Dec Scientist B - Section A: 13
Directions $(9-13) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. There are five persons $\text{P, Q, R, S}$ and $\text{T}.$ One is football player, one is ... nor a hockey player. Who is the chess player $?$ $\text{Q}$ $\text{R}$ $\text{S}$ $\text{T}$
Anuj2000
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Mar 24
by
Anuj2000
97
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nielit2021dec-scientistb
0
votes
1
answer
18
NIELIT 2021 Dec Scientist B - Section A: 12
Directions $(9-13) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. There are five persons $\text{P, Q, R, S}$ and $\text{T}.$ One is football player, one is ... a hockey player. Who is the wife of $\text{T}$ $\text{Q}$ $\text{R}$ $\text{S}$ None of these
Anuj2000
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Mar 24
by
Anuj2000
64
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nielit2021dec-scientistb
0
votes
1
answer
19
NIELIT 2021 Dec Scientist B - Section A: 11
Directions $(9-13) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. There are five persons $\text{P, Q, R, S}$ and $\text{T}.$ One is football player, one is ... nor a hockey player. Who is the hockey player $?$ $\text{T}$ $\text{S}$ $\text{R}$ $\text{Q}$
Anuj2000
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Others
Mar 24
by
Anuj2000
68
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nielit2021dec-scientistb
0
votes
1
answer
20
NIELIT 2021 Dec Scientist B - Section A: 10
Directions $(9-13) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. There are five persons $\text{P, Q, R, S}$ and $\text{T}.$ One is football player, one ... nor a hockey player. Who is the football player $?$ $\text{Q}$ $\text{R}$ $\text{S}$ $\text{T}$
Anuj2000
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in
Others
Mar 24
by
Anuj2000
62
views
nielit2021dec-scientistb
0
votes
1
answer
21
NIELIT 2021 Dec Scientist B - Section A: 9
Directions $(9-13) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. There are five persons $\text{P, Q, R, S}$ and $\text{T}.$ One is football player, one is chess player, ... $\text{S}$ $\text{P, Q}$ and $\text{S}$ $\text{P, R}$ and $\text{S}$
Anuj2000
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Mar 24
by
Anuj2000
67
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nielit2021dec-scientistb
0
votes
1
answer
22
NIELIT 2021 Dec Scientist B - Section A: 7
Directions $(7-8) :$ In the given questions below, a statement is given followed by two conclusions numbered $\text{I}$ and $\text{II}$. You have to take the statement to be true. Read both the conclusions and decide ... very evening. The manager who did not resign yesterday will resign tomorrow. The management will terminate the service of one manager.
Anuj2000
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Mar 24
by
Anuj2000
68
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nielit2021dec-scientistb
0
votes
1
answer
23
NIELIT 2021 Dec Scientist B - Section A: 1
Use following diagrams to answer question number $1$ to $2 :$ Cloud, River, Mountain $:$ $\text{II}$ $\text{I}$ $\text{IV}$ $\text{III}$
Anuj2000
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Mar 24
by
Anuj2000
119
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nielit2021dec-scientistb
0
votes
1
answer
24
NIELIT 2021 Dec Scientist B - Section A: 6
Rakesh is standing at a point. He walks $20 \; \text{m}$ towards the East and further $10 \; \text{m}$ towards the South, then he walks $35 \; \text{m}$ towards the West and further $5 \; \text{m}$ towards the North, then he ... . What is the straight distance in metres between his starting point and the point where he reached last $?$ $0$ $5$ $10$ $15$
33
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Mar 7
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33
102
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nielit2021dec-scientistb
0
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25
how to prepare for barc cse interview ?
i am preparing for barc cse test and interview so an resources to prepare and any resources to read about the other selcted candidates interview ? and how to prepare for barc interview specifically cause exam is like gate level so i completed gate syllabus but i am confused about the interview how to prepare for interview specifically ? and any tips thank you
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Feb 26
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22
316
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interview
isro-preparation
1
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26
ISI 2021
Give a strategy to sort four distinct integers a, b, c, d in increasing order that minimizes the number of pairwise comparisons needed to sort any permutation of a, b, c, d.
22
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Feb 20
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22
117
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non-gate
0
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1
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27
NIELIT 2021 Dec Scientist B - Section A: 27
In a fraction, numerator is increased by $25 \%$ and the denominator is diminished by $10 \%.$ The new fraction obtained is $5/9.$ The original fraction is $:$ $2/5$ $5/9$ $3/5$ None of the above
Hira Thakur
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Dec 12, 2021
by
Hira Thakur
100
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nielit2021dec-scientistb
0
votes
1
answer
28
NIELIT 2021 Dec Scientist B - Section A: 16
Directions $(14 - 18) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. $\text{M}$ and $\text{N}$ are good at hockey and volleyball. $\text{O}$ and $\text{M}$ ... . Who is good at the largest number of games $?$ $\text{Q}$ $\text{P}$ $\text{O}$ $\text{N}$
Hira Thakur
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Dec 8, 2021
by
Hira Thakur
144
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nielit2021dec-scientistb
0
votes
1
answer
29
NIELIT 2021 Dec Scientist B - Section A: 18
Directions $(14 - 18) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. $\text{M}$ and $\text{N}$ are good at hockey and volleyball. $\text{O}$ ... Who among the following is good at four games $?$ $\text{Q}$ $\text{P}$ $\text{O}$ $\text{M}$
Hira Thakur
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Others
Dec 7, 2021
by
Hira Thakur
76
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nielit2021dec-scientistb
0
votes
1
answer
30
NIELIT 2021 Dec Scientist B - Section A: 15
Directions $(14 - 18) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. $\text{M}$ and $\text{N}$ are good at hockey and volleyball. $\text{O}$ ... . Who is good at baseball, hockey and volleyball $?$ $\text{Q}$ $\text{P}$ $\text{O}$ $\text{M}$
Hira Thakur
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in
Others
Dec 7, 2021
by
Hira Thakur
123
views
nielit2021dec-scientistb
0
votes
1
answer
31
NIELIT 2021 Dec Scientist B - Section A: 14
Directions $(14 - 18) :$ Read the information given below and on the basis of the information, select the correct alternative for each question given after the information. $\text{M}$ and $\text{N}$ are good at hockey and volleyball. $\text{O}$ ... . Who is good at cricket, volleyball and hockey $?$ $\text{Q}$ $\text{P}$ $\text{O}$ $\text{N}$
Hira Thakur
answered
in
Others
Dec 7, 2021
by
Hira Thakur
86
views
nielit2021dec-scientistb
0
votes
1
answer
32
NIELIT 2021 Dec Scientist B - Section A: 5
Directions $(3-5) :$ In each of the following questions, one number is wrong in the series. Find out the wrong number. $701, 348, 173, 85, 41, 19, 8 :$ $173$ $41$ $19$ $348$
Hira Thakur
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Dec 7, 2021
by
Hira Thakur
89
views
nielit2021dec-scientistb
0
votes
1
answer
33
NIELIT 2021 Dec Scientist B - Section A: 3
Directions $(3-5) :$ In each of the following questions, one number is wrong in the series. Find out the wrong number. $3, 5, 12, 39, 154, 772, 4634 :$ $5$ $3$ $39$ $154$
Hira Thakur
answered
in
Others
Dec 7, 2021
by
Hira Thakur
71
views
nielit2021dec-scientistb
0
votes
1
answer
34
NIELIT 2021 Dec Scientist B - Section A: 4
Directions $(3-5) :$ In each of the following questions, one number is wrong in the series. Find out the wrong number. $1, 9, 25, 49, 86, 121 :$ $25$ $121$ $166$ $86$
Hira Thakur
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in
Others
Dec 7, 2021
by
Hira Thakur
76
views
nielit2021dec-scientistb
0
votes
0
answers
35
NIELIT 2021 Dec Scientist B - Section A: 2
Use following diagrams to answer question number $1$ to $2 :$ Oxygen, Atmosphere, Nitrogen $\text{II}$ $\text{I}$ $\text{IV}$ $\text{III}$
soujanyareddy13
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Dec 7, 2021
by
soujanyareddy13
82
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nielit2021dec-scientistb
0
votes
0
answers
36
NIELIT 2021 Dec Scientist B - Section A: 8
Directions $(7$ − $8):$ In the given questions below, a statement is given followed by two conclusions numbered $\text{I}$ and $\text{II}$. You have to take the statement to be true. Read both the conclusions and decide which ... had little impact on level of living. A boom in revenues leads to rise in prices. Large financial outlays should be avoided.
soujanyareddy13
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Dec 7, 2021
by
soujanyareddy13
71
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nielit2021dec-scientistb
0
votes
1
answer
37
ISI2015-MMA-56
Let $\{a_n\}$ be a sequence of non-negative real numbers such that the series $\Sigma_{n=1}^{\infty} a_n$ is convergent. If $p$ is a real number such that the series $\Sigma \frac{\sqrt{a_n}}{n^p}$ diverges, then $p$ must be strictly less than $\frac{1}{2}$ ... but can be greater than$\frac{1}{2}$ $p$ must be strictly less than $1$ but can be greater than or equal to $\frac{1}{2}$
rishabhjain18
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Jul 6, 2021
by
rishabhjain18
300
views
isi2015-mma
convergence-divergence
non-gate
1
vote
1
answer
38
ISI2015-MMA-84
For positive real numbers $a_1, a_2, \cdots, a_{100}$, let $p=\sum_{i=1}^{100} a_i \text{ and } q=\sum_{1 \leq i < j \leq 100} a_ia_j.$ Then $q=\frac{p^2}{2}$ $q^2 \geq \frac{p^2}{2}$ $q< \frac{p^2}{2}$ none of the above
NastyBall
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Jun 20, 2021
by
NastyBall
225
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isi2015-mma
summation
non-gate
0
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1
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39
ISI2015-MMA-83
If $\alpha, \beta$ are complex numbers then the maximum value of $\dfrac{\alpha \overline{\beta}+\overline{\alpha}\beta}{\mid \alpha \beta \mid}$ is $2$ $1$ the expression may not always be a real number and hence maximum does not make sense none of the above
NastyBall
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Jun 20, 2021
by
NastyBall
241
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isi2015-mma
complex-number
non-gate
1
vote
1
answer
40
ISI2015-MMA-71
Let $f(x,y) = \begin{cases} 1, & \text{ if } xy=0, \\ xy, & \text{ if } xy \neq 0. \end{cases}$ Then $f$ is continuous at $(0,0)$ and $\frac{\partial f}{\partial x}(0,0)$ exists $f$ is not continuous at $(0,0)$ ... $f$ is not continuous at $(0,0)$ and $\frac{\partial f}{\partial x}(0,0)$ does not exist
NastyBall
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Jun 20, 2021
by
NastyBall
256
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isi2015-mma
continuity
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