(PYQ) NTA UGC NET JRF 2021 PAPER 1 Set 1 with Solution

Ques 21: How many terms are there in the series 168,175,182, _____266 ?

• 13
• 14
• 15
• 16

Mathematical Reasoning and Aptitude
We can solve this question, by counting all the items with the difference d(i.e 175-168 = 182-175) Or by using the following formula of Arithmetic Progression
An = 266, a = 168 and d = 7
Formula : an = a+(n-1)d
266 = 168 + (n-1)7
n-1 = (266-168)/7 = 98/7 = 14
n = 14 + 1 = 15
thus, (c) is the correct answer.

Ques 22: Which of the following fractions is the smallest ?

• 11/16
• 29/40
• 5/8
• 65/80

Mathematical Reasoning and Aptitude
The highest denominator in options is 80. We will make every fraction equal to 80.
11/16⨯5/5 = 55/80
29/40⨯2/2 = 58/80
5/8 = 5/8⨯10/10=50/80
65/80-no change required.
Now every fraction has 80 as denominator, we need to compare only numerators to compare.
Thus 5/8 is the smallest fraction.

Ques 23: Which among the following are no-parametric statistics ? A. t-test B. F-test C. Spearman’s rank order correlation D. Mann-Whitney-Wilcoxon test E. Kendall coefficient of concordance Choose the correct answer from the options given below :

• A,B and C only
• B,C and D only
• B,D and E only
• C,D and E only

Research Aptitude
Non-parametric (and Parametric tests) : First, we need to look at some basic difference between parametric and non-parametric tests.
In parametric tests, the parameters are assumed and the population distribution is always known. To calculate the central tendency, a mean value is used. In such tests, we assume normal distribution curve (bell shaped curve). For example, if we were to measure the height of people (in a population), we take some sample, we would see a typical bell-shaped curve. This distribution is also called the Gaussian distribution.
In statistics, nonparametric tests are methods of statistical analysis that do not require a distribution to meet the required assumptions to be analyzed (especially if the data is not normally distributed). Due to this reason, they are sometimes referred to as distribution-free tests.
Parametric test are generally more powerful than the non-parametric tests, where smaller sample sizes are required in parametric tests.
Type of no-parametric Tests
1 sample sign test
1 sample Wilcoxon Signed Rank Test
Friedman Test
Goodman Kruska’s Gamma
Kruskal-Wallis Test
The Mann-Kendall Trend Test
Mann-Whitney Test
Mood’s median Test
Sperman Rank Correlation

Ques 24: Identify the fallacy committed in the argument : Some birds are not beautiful creatures. All dogs are beautiful creatures. Therefore, no dogs are birds.

• Fallacy of Exclusive Premises
• Fallacy of the Illicit Process of Major Term
• Fallacy of the Illicit Process of Minor Term
• Fallacy of the Undistributed Middle Term

Logical Reasoning
Exclusive premise : the fallacy of exclusive premises is a syllogistic fallacy committed in a categorical syllogism that is invalid because both its premises are negative.
Illicit major : Illicit major is a formal fallacy committed in a categorical syllogism that is invalid because its major term is undistributed in the major premise but distributed in the conclusion.

Premise Type Distributed
Some birds are ‘O’ type only predicate
note beautiful (Particular
creatures. Negative)
Therefore, no E type (Universal both subject
dogs are birds negative) and predicate
thus, in premises 1 some birds (major term/subject) are undistributed. in the conclusion dogs (subject and the birds (predicate) both are distributed.
Undistributed middle : the fallacy of the undistributed middle the term in a categorical syllogism is not distributed in either the minor premise or the major premise. Its is thus a syllogistic fallacy.
Illicit minor : the fallacy of illicit minor term is undistributed in the premise but is distributed in the conclusion (but not vice-versa).

Ques 25: The communication among persons working at different levels who have no direct reporting relationship is called :

• Diagonal communication
• Horizontal commuication
• Intrapersonal communication
• Upward communication

Communication
Diagonal communication : the communication among the persons at different levels who have no direct relationship is called diagonal relationship. This communication is effective as hierarchical bindings are removed and there is a free flow of information, cutting across different positions.
Horizontal communication : communication with people at the same level in a hierarchy of peers and colleagues is termed as horizontal communication.
This may combine both formal and informal communication.
Intrapersonal communication : it is a communication within an individual almost all the times, such as talking to oneself, listening to oneself and relating to oneself. It includes individual reflection, meditation, contemplation and praying to God.
Upward communication : this communication is the process of information flowing from the lower levels of a hierarchy to the upper levels. It is the process by which lower-level company employees can directly communicate with upper management regarding the day-to-day operations of the company.

Ques 26: Which region of the brain is involved in our ability to learn new information, particularly if it is verbal ?

• Cerebrum
• Hippocampus
• Pons
• Thalamus

(a,b,d) People, Development and Environment
Cerebrum : Cerebrum, the largest and uppermost portion of the brain. The cerebrum consists for two-thirds of the total weight of the brain.
Hippocampus : it is a small, curved formations in the brain that plays an important role in the limbic system. It is involved in the formation of new memories and is also associated with learning and emotions.
Pons : it is a portion of the hindbrain that connects the cerebral cortex with the medulla oblongata. It also serves as a communications and coordination centre between the two hemispheres of the brain.
Thalamus : the thalamus functions as a relay station in which sensory pathways of the spinal cord and brainstem form synapses on their way to the cerebral cortex. Specific locations in the thalamus are related to specific area on the body surface and in the cerebral cortex.

Ques 27: Match List I with List II

• A-1, B-IV, C-II, D-III
• A-II, B-I, C-III, D-IV
• A-III, B-IV, C-II, D-I
• A-IV, B-III, C-II,D-I

Higher Education System
Indian Institute of Advance Study (IIAS) : this research institute is based in Shimla. It was set up by the Ministry of Education in 1964 and it started functioning in 1965.
Indian Biological Science and Research Institute (IBRI) : it is located in Noida, UP. IBRI is run by the academicians from different technological fields such as Pharmaceutics, Biotechnology, Bioinformatics, Information Technology and Mathematics. The mandate of IBRI is to undertake research and training from basics to industrial level in biosciences domains.
Indian Institute of Soil Science (IISS) : this institute is linked with ICAR (Indian Council of Agriculture Research). ICAR-IISS was established in 1988 at Bhopal with a mandate of “Enhancing Soil Productivity with Minimum Environmental Degradation”. IISS has emerged as a leader in basic and strategic research on soils in the country.
Indian Institute of Sugarcane Research (IISR) : IISR was established in Lucknow in 1952. It deals with basic issues linked with sugarcane. In 1954, its working was taken care of by Government, then in 1969 it was transferred to ICAR, New Delhi along with other central agricultural research institutes.

Ques 28: A total of 324 coins of 20 paise and 25 paise make a sum of 72. The number of 20 paise coins is

• 124
• 125
• 144
• 200

Mathematical reasoning and Aptitude
Let number of 20 paise coin = X
Then number of 25 paise coins = 324 – X
Total value = X (20/100) + (324-x) 25/100 = 71
X/5 + (324 – X)/4 = 71
X = 200
Thus, the number of 20 paise coins is 200.

Ques 29: Given below are two statements Statement I: Policy action and implementation plans require sound database systems at the regional level only. Statement II: The statistical system should ensure its impeccability with data architecture, security, quality, cleaning and integration. In light of the above statements, choose the most appropriate answer from the options given below :

• Both Statement I and Statement II are correct
• Both Statement I and Statement II are incorrect
• Statement I is correct but Statement II is incorrect
• Statement I is incorrect but Statement II is correct

Higher Education system
This question is linked with good governance, so linked with public. Data (statistics) and ICT are also going to be part of it. Ther seems to be some aberration in statement II.

Ques 30: Match List I with with List II Choose the correct answer from the options given below :

• A-I, B-II, C-III, D-IV
• A-II, B-I, C-III, D-IV
• A-IV, B-II, C-I, D-III
• A-IV, B-III, C-II, D-I

Information and Communication Technology this is a direct question of matching.