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Recent questions tagged nta-phd-cs-2023
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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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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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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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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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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$$175 / 2$
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 20
If the significance level is $5$ percent and the two-tailed test is applied, then compute the probability of the acceptance region. $0.05$ $0.02$ $0.01$ $0.95$
If the significance level is $5$ percent and the two-tailed test is applied, then compute the probability of the acceptance region.$0.05$$0.02$$0.01$$0.95$
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 21
Match List I with List II LIST I LIST II Personal interviews Indirect oral investigation Structured interviews Predetermined questions Non-directive interviews Verbal abilities Focused interviews Freedom to explore reasons and motives Choose the correct answer from options given below ... $\text{A-I, B-II, C-III, D-IV}$
Match List I with List IILIST ILIST IIPersonal interviewsIndirect oral investigationStructured interviewsPredetermined questionsNon-directive interviewsVerbal abilitiesFo...
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 22
When the two variables mutually influence or reinforce each other, it is called Reciprocal Symmetrical Asymmetrical Proportional
When the two variables mutually influence or reinforce each other, it is calledReciprocalSymmetricalAsymmetricalProportional
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 23
Match List I with List II LIST I LIST II Rolle's Theorem Finding primitive of a continuous function Mean Value Theorem Constant function Zero Derivative Theorem Tangent line parallel to secant Second Fundamental Theorem of Calculus Horizontal tangent exists Choose the correct ... $\text{A-IV, B-III, C-II, D-I}$
Match List I with List IILIST ILIST IIRolle's TheoremFinding primitive of a continuous functionMean Value TheoremConstant functionZero Derivative TheoremTangent line para...
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 24
If the researcher had no speculation to begin with, then he may be searching to provide an explanation for findings on the premise of few theories. This concept is referred as Generalisation Conceptualization Aggregation Interpretation
If the researcher had no speculation to begin with, then he may be searching to provide an explanation for findings on the premise of few theories. This concept is referr...
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NTA PhD Entrance Examination CS 2023| PART 1 | Question: 25
Association between two attributes that does not correspond to any real relationship, is called Partial association Illusory association Total association No association
Association between two attributes that does not correspond to any real relationship, is calledPartial associationIllusory associationTotal associationNo association
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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
A bell-shaped curve or the normal curve is termed asMesokurticHecokurticRecokurticLeptokurtic
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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
Which of the following allows us to exclude variability from the experimental error, related to extraneous factors?Principle of RandomizationPrinciple of ReplicationPrinc...
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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. $0.097$ $0.032$ $0.015$ $0.057$
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 $0.8$. Es...
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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
Which type of questionnaire provide no scope for any personal view of a respondent?Open-endedStructuredUnstructuredClose-ended
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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
When the dependent variable is not free from the influence of extraneous variable, then the relationship between the dependent and independent variables is calledCorrelat...
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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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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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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
Which of the following is true about exploratory design?Rigid designStructured or well-defined instruments for data collectionNon-probability sampling design (purposive o...
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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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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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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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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? $\frac{10}{49}$ $\frac{20}{49}$ $\frac{30}{49}$ $\frac{40}{49}$
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 ...
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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 $g$ ... : $\text{B, C and D only}$ $\text{A, B and D only}$ $\text{A, B and C only}$ $\text{A, C and D only}$
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}...
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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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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 $1 / 2$ $2$ $1$ $3 / 2$
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 o...
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