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101
NTA PhD Entrance Examination CS 2023| Part 2 Question: 50
Question No. 50 / Question ID 974092 Marks: 4.00 Given below are two statements: one is labelled as Assertion A and other is labelled as Reason $\mathbf{R}$ Assertion A: A language accepted by a Push Down automata is context free language. Reason R: The ... $R$ is false 4. $A$ is false but $R$ is true 1 2 (Chosen Option) 3 4
Question No. 50 / Question ID 974092Marks: 4.00Given below are two statements: one is labelled as Assertion A and other is labelled as Reason $\mathbf{R}$Assertion A: A l...
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102
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 1
What type of proforma has a collection of questions that are filled out by enumerators, who have been specially assigned to the task? Schedule Questionnaire Survey Audit
What type of proforma has a collection of questions that are filled out by enumerators, who have been specially assigned to the task?ScheduleQuestionnaireSurveyAudit
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103
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 2
Match List I with List II List I List II Cramer rule $\frac{n^{3}}{2}$ Gauss-Jordan elimination method $\frac{n^{3}}{3}$ Gauss elimination method $\left(n^{2}-1\right)(n !)+n$ Cholesky method $\frac{n^{3}}{6}$ Choose the correct answer from options given ... $\text{A-II, B-I, C-III, D-IV}$ $\text{A-I, B-II, C-IV, D-III}$
Match List I with List IIList IList IICramer rule$\frac{n^{3}}{2}$Gauss-Jordan elimination method$\frac{n^{3}}{3}$Gauss elimination method$\left(n^{2}-1\right)(n !)+n$Cho...
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104
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 3
If $P_{i}$ represents the proportion of population included in stratum $i$, and $n$ denotes the total sample size; then the number of elements selected from the stratum $i$ will be $n * P_{i}$ $i * n$ $i * n * P_{i}$ $i * P_{i}$
If $P_{i}$ represents the proportion of population included in stratum $i$, and $n$ denotes the total sample size; then the number of elements selected from the stratum $...
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105
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 4
Purposive sampling is also known as _________. Probability sampling Stratified sampling Complex random sampling Non-probability sampling
Purposive sampling is also known as _________.Probability samplingStratified samplingComplex random samplingNon-probability sampling
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106
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 5
Let $\mathrm{V}$ and $\mathrm{W}$ be finite dimensional vector spaces over $\mathrm{F}$, and $\mathrm{T}$ is a function from $\mathrm{V}$ to $\mathrm{W}$ ... Choose the most appropriate answer from the options given below: A and D only A and B only B and D only C and D only
Let $\mathrm{V}$ and $\mathrm{W}$ be finite dimensional vector spaces over $\mathrm{F}$, and $\mathrm{T}$ is a function from $\mathrm{V}$ to $\mathrm{W}$. In this regard,...
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107
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 6
The probability distribution characterized by two moments is Gaussian Uniform Exponential Beta
The probability distribution characterized by two moments isGaussianUniformExponentialBeta
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108
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 7
The student t-test was developed by____________. Joseph Sandler Sir William S. Gosset Professor Yule Professor R. A. Fisher
The student t-test was developed by____________.Joseph SandlerSir William S. GossetProfessor YuleProfessor R. A. Fisher
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109
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 8
The value of $\int_{0}^{2 \pi} \frac{1}{e^{\sin x}+1} d x$ is $\pi / 2$ $2 \pi$ $3 \pi$ $\pi$
The value of $\int_{0}^{2 \pi} \frac{1}{e^{\sin x}+1} d x$ is$\pi / 2$$2 \pi$$3 \pi$$\pi$
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110
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 9
A researcher wants to collect information from the gasoline customers. For example, he can choose a set as a number of stations, and conduct interviews. This sampling is termed as Simple random sampling Systematic sampling Convenience sampling Stratified sampling
A researcher wants to collect information from the gasoline customers. For example, he can choose a set as a number of stations, and conduct interviews. This sampling is ...
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111
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 10
Which of the following is concerned with broad underlying feelings or motivations or with the course of life experience of an individual? Focused interview Non-directive interview Structured interview Clinical interview
Which of the following is concerned with broad underlying feelings or motivations or with the course of life experience of an individual?Focused interviewNon-directive in...
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112
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 11
Which of the following is correct about the Type II error? Rejects a null hypothesis when it is true Accepts a null hypothesis when it is true Rejects a null hypothesis when it is false Accepts a null hypothesis when it is false
Which of the following is correct about the Type II error?Rejects a null hypothesis when it is trueAccepts a null hypothesis when it is trueRejects a null hypothesis when...
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113
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 12
Which of the following statement is TRUE? The rank of a product of two matrices cannot exceed the rank of either matrix. The rank of a product of two matrices can exceed the rank of either matrix. The rank of a product of two ... of two matrix. The rank of a product of two matrices is equal to the product of the ranks of two matrix.
Which of the following statement is TRUE?The rank of a product of two matrices cannot exceed the rank of either matrix.The rank of a product of two matrices can exceed th...
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114
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 13
Match List I with List II List I List II Pilot survey Preliminary survey Experience survey Questionnaire Descriptive survey Observation Interviews Discussion with colleagues $\text{A-I, B-II, C-III, D-IV}$ $\text{A-II, B-III, C-I, D-IV}$ $\text{A-I, B-III, C-IV, D-II}$ $\text{A-I, B-IV, C-II, D-III}$
Match List I with List IIList IList IIPilot surveyPreliminary surveyExperience surveyQuestionnaireDescriptive surveyObservationInterviewsDiscussion with colleagues $\tex...
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115
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 14
Match List I with List II LIST I (Method) LIST II (Rate of Convergence) Muller method Linear Chebyshev method $1.618$ Secant method $3$ Regula-Falsi method $1.84$ Choose the correct answer from options given below: $\text{A-I, B-II, C-III, D-IV}$ ... $\text{A-I, B-II, C-IV, D-III}$ $\text{A-IV, B-III, C-II, D-I}$
Match List I with List IILIST I (Method)LIST II (Rate of Convergence)Muller methodLinearChebyshev method$1.618$Secant method$3$Regula-Falsi method$1.84$Choose the correct...
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116
NTA PhD Entrance Examination CS 2023| PART 1 | Question: 15
The central theorem states that If sample size increases, then the sampling distribution must approach an exponential distribution. If sample size decreases, then the sampling distribution must approach normal distribution ... distribution. If sample size decreases, then the sampling distribution must approach an exponential distribution.
The central theorem states thatIf sample size increases, then the sampling distribution must approach an exponential distribution.If sample size decreases, then the sampl...
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 16
Which approach can be used to create an artificial environment to generate data and information? Inferential Approach Empirical Approach Simulation Approach Experimental Approach
Which approach can be used to create an artificial environment to generate data and information?Inferential ApproachEmpirical ApproachSimulation ApproachExperimental Appr...
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 17
To indicate that a series has positive skewness, which of the following condition must satisfy? Here, $\bar{X}=$ Mean, $\mathrm{M}=$ Median, $\mathrm{Z}=$ Mode $\bar{X}<M<Z$ $Z<M<\bar{X}$ $\bar{X}<Z<M$ $\bar{X}>M>Z$
To indicate that a series has positive skewness, which of the following condition must satisfy?Here, $\bar{X}=$ Mean, $\mathrm{M}=$ Median, $\mathrm{Z}=$ Mode$\bar{X}<M<Z...
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 18
Consider the following methods in reference of numerical integration. Richardson Romberg Lobatto Simpson Choose the most appropriate answer from options given below: $\text{A, B and C}$ only $\text{B, C and D}$ only $\text{A, B and D}$ only $\text{A, C and D}$ only
Consider the following methods in reference of numerical integration.RichardsonRombergLobattoSimpsonChoose the most appropriate answer from options given below:$\text{A, ...
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 19
The variance of the sum obtained on $10$ independent rolls of a fair die is $175 / 6$ $173 / 3$ $177 / 5$ $175 / 2$
The variance of the sum obtained on $10$ independent rolls of a fair die is$175 / 6$$173 / 3$$177 / 5$$175 / 2$
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