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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
Scientific method is based on __________.subjective considerationprobabilistic predictionsempirical evidencesrelevant conceptsChoose the most appropriate answer from opti...
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222
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 $(-1,-9)$ $(1,-9)$ $(1,9)$ $(2,-9)$
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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224
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
An estimator should approach the value of population parameter, as the sample size becomes larger. This property is referred to __________.Property of EfficiencyProperty ...
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225
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})$
Let $\mathrm{V}$ and $\mathrm{W}$ be vector spaces, and let $\mathrm{T}: \mathrm{V} \rightarrow \mathrm{W}$ be linear. If $\mathrm{V}$ is finite dimensional, then which o...
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226
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
Size of standard error variesDirectly proportional to the sample sizeInversely proportional to the sample sizeEqual to the sample sizeOne third of the sample size
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229
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
Identify the appropriate experimental design that is usually considered in agricultural research.Randomized block designBefore-and-after with controlled designCompletely ...
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231
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
Which of the following correctly explains a latent variable?Useful in algebraic manipulationsObservable variable that may influence the criterion variablesUnobservable va...
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233
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}$
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 o...
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239
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}$
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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240
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 50
If $x^{m} y^{n}=(x+y)^{m+n}$, then $d y / d x$ is equal to $\mathrm{y} / \mathrm{x}$ $\mathrm{x} / \mathrm{y}$ $xy$ $\mathrm{x}+\mathrm{y}$
If $x^{m} y^{n}=(x+y)^{m+n}$, then $d y / d x$ is equal to$\mathrm{y} / \mathrm{x}$$\mathrm{x} / \mathrm{y}$$xy$$\mathrm{x}+\mathrm{y}$
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