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421
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 26
A bell-shaped curve or the normal curve is termed as Mesokurtic Hecokurtic Recokurtic Leptokurtic
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422
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 27
Which of the following allows us to exclude variability from the experimental error, related to extraneous factors? Principle of Randomization Principle of Replication Principle of Local Control Principle of Formalization
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423
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 28
In a random selection of $64$ from $2400$ intersections in a small city, the mean number of car accidents per year is $3.2$ and the sample standard deviation is $0.8$. Estimate the standard error of mean. $0.097$ $0.032$ $0.015$ $0.057$
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424
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 29
Which type of questionnaire provide no scope for any personal view of a respondent? Open-ended Structured Unstructured Close-ended
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425
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 30
When the dependent variable is not free from the influence of extraneous variable, then the relationship between the dependent and independent variables is called Correlated relationship Confounded relationship Interdependent relationship Controlled relationship
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426
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 31
Scientific method is based on __________. subjective consideration probabilistic predictions empirical evidences relevant concepts Choose the most appropriate answer from options given below: A and B Only B, C and D Only A, B and D Only A, B and C Only
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427
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 32
The point on the curve $y=x^{2}+2 x-8$, where $x$ lies in $[-4,2]$ and the tangent is parallel to $x$-axis, is $(-1,-9)$ $(1,-9)$ $(1,9)$ $(2,-9)$
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428
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 33
Which of the following is true about exploratory design? Rigid design Structured or well-defined instruments for data collection Non-probability sampling design (purposive or judgement sampling) No pre-planned design for analysis Choose the most appropriate answer from ... $\text{A and B}$ only $\text{A and C}$ only $\text{B and D}$ only
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429
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 34
An estimator should approach the value of population parameter, as the sample size becomes larger. This property is referred to __________. Property of Efficiency Property of Sufficiency Property of Consistency Property of Unbiasedness
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 35
Let $\mathrm{V}$ and $\mathrm{W}$ be vector spaces, and let $\mathrm{T}: \mathrm{V} \rightarrow \mathrm{W}$ be linear. If $\mathrm{V}$ ... $\operatorname{nullity}(\mathrm{T})+\operatorname{rank}(\mathrm{T})>\operatorname{dim}(\mathrm{V})$
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431
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 36
Size of standard error varies Directly proportional to the sample size Inversely proportional to the sample size Equal to the sample size One third of the sample size
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432
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 37
A card from a pack of $52$ playing cards was found missing. From the remaining cards of the pack, $3$ cards are drawn at random (without replacement), and they are found to be all spades. What is the probability that the lost card is a spade? $\frac{10}{49}$ $\frac{20}{49}$ $\frac{30}{49}$ $\frac{40}{49}$
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433
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 38
Let $\mathrm{H}$ be a normal subgroup of group $\mathrm{G}$, then some of the following statements are true. For all $h$ in $\mathrm{H}$ and $g$ in $\mathrm{G}, g h g^{-1}$ is in $\mathrm{H}$. For all $g$ ... : $\text{B, C and D only}$ $\text{A, B and D only}$ $\text{A, B and C only}$ $\text{A, C and D only}$
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434
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 39
Identify the appropriate experimental design that is usually considered in agricultural research. Randomized block design Before-and-after with controlled design Completely randomized design Latin-square design
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435
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 40
For $f(x)=\mathrm{px}^{2}+\mathrm{qx}+\mathrm{r}, \mathrm{x}$ lies in the range $[\mathrm{a}, \mathrm{a}+\mathrm{h}]$. The value of $\theta$, irrespective of the values of $\mathrm{p}, \mathrm{q}, \mathrm{r}, \mathrm{a}, \mathrm{h}, \mathrm{in}$ Langarge's theorem, is always $1 / 2$ $2$ $1$ $3 / 2$
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436
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 41
Which of the following correctly explains a latent variable? Useful in algebraic manipulations Observable variable that may influence the criterion variables Unobservable variable which may influence the criterion variables Discrete variable
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437
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 42
Match $\text{List I}$ with $\text{List II}$ LIST I LIST II Rosenzweig test Related to sociology Thematic apperception test Psychological test Rorschach test Assess personality characteristics Doll-play test Describe ambiguous scenes Choose the correct answer from options given ... $\text{A-I, B-IV, C-III, D-II}$
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438
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 43
A problem in Mathematics is given to 3 students whose chances of solving it are $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}$. Find the probability of solving it correctly by only one of them. $\frac{3}{4}$ $\frac{11}{24}$ $\frac{13}{24}$ $\frac{1}{4}$
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439
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 44
Match List I with List II List I List II Casual analysis Prediction of the dependent variable based on its covariance with all concerned independent variables. Canonical analysis Functional relationships existing between two or more variables. Inferential analysis Estimate the ... $\text{A-I, B-IV, C-III, D-II}$
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440
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 45
Let $\mathrm{f}: \mathrm{G}_{1} \rightarrow \mathrm{G}_{2}$ be a homomorphism of groups, and let $\mathrm{a}$ and $\mathrm{b}$ be elements of $\mathrm{G}_{1}$. Also, assume $\mathrm{K}$ to be the kernel of $\mathrm{f}$ ... $\text{A, B and C}$ only $\text{B, C and D}$ only $\text{A, C and D}$ only
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441
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 46
For the function $f(x)=|x-3|$, where $x$ is a real number, which of the following statements are true? $\mathrm{f}(\mathrm{x})$ is continuous at $\mathrm{x}=3$. $f(x)$ is not differentiable at $x=3$. $\mathrm{f}(\mathrm{x})$ ... $\text{B, C and D}$ only $\text{A, C and D}$ only $\text{A, B and D}$ only
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442
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 47
The value of $\int \frac{d x}{x\left(x^{3}+1\right)}$ is $\frac{1}{3} \log \left|\frac{x^{3}}{x^{3}+1}\right|+c$ $\frac{1}{4} \log \left|\frac{x^{3}}{x^{2}+1}\right|+c$ $\frac{1}{3} \log \left|\frac{x^{2}}{x^{2}+1}\right|+c$ $\frac{1}{3} \log \left|\frac{x^{2}}{x^{2}+x+1}\right|+c$
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443
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 48
To determine validity, the types of criteria are Content validity Concurrent validity Criterion-related validity Construct validity Predictive validity Choose the most appropriate answer from options given below: $\text{A, B and C}$ $\text{A, B and D}$ $\text{A, C and E}$ $\text{A, C and D}$
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444
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 49
The value of $\int_{0}^{\pi} \frac{x d x}{1+\sin x}$ is $2 \pi$ $\pi$ $\pi / 2$ $\pi^{2}$
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445
Are Mealy and Moore Machines are there in the Gate 2024 Syllabus?
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Nov 30, 2023
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rajveer43
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Made Easy Test Series 2024
why option 2 is not a distributive lattice ? i solved this and found that there are each vertex has only either one or zero complement i think it is distributive lattice
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Nov 30, 2023
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Ray Tomlinson
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447
#self doubt
Suppose that in an IP-over-Ethernet network, machine X wishes to find the MAC address of another machine Y which is not in its subnet. How can we find it?
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Nov 28, 2023
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Dknights
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Test Series: Aptitude question --> "Counting cubes" Can somebody please explain the approach behind such questions? I often spend a lot of time in them.
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449
algorithm time complexity madeeasy ots
What will be the complexity?
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Nov 28, 2023
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Sajal Mallick
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450
Can I get Into DRDO with degree in artificial intelligence and Data science through GATE CSE?
I'm asking this question because I have degree in Data Science and Artificial Intelligence and This year GATE IISC adds new subject Data science and Artificial intelligence(DA) before this ... 9. Information Science & Engg/Technology 10. Computer & Communication Engg 11. Computer Networking
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