UGC NET Questions (Paper – 1)

The number of students who like at least one of the two subjects is given by the union of the sets of students liking Mathematics and Science. Using the inclusion–exclusion principle, we have n(M ∪ S) = n(M) + n(S) − n(M ∩ S) = 35 + 30 − 15 = 50. This counts each student only once, even if they like both subjects. Therefore, 50 students like at least one of the two subjects.

Option A:
A value of 45 would incorrectly subtract too many students or miscount those in the intersection. If we tried to get 45 from the given numbers, we would be effectively assuming a different overlap than 15. Since the data provided are precise, 45 does not satisfy the formula for the union. Hence, this option is incorrect.

Option B:
The value 50 is correct because it properly applies the inclusion–exclusion formula for two sets. It ensures that the 15 students who like both subjects are not double counted. In many reasoning questions, this technique is crucial for handling overlapping groups accurately.

Option C:
A value of 55 would imply that n(M ∪ S) is larger than either individual group but fails the inclusion–exclusion calculation 35 + 30 − 15. This would effectively overcount the intersection instead of subtracting it once. Therefore, 55 cannot be the right answer.

Option D:
Taking 60 as the answer would incorrectly assume that every student in the class likes at least one of the two subjects. The union we calculated is only 50, which means 10 students like neither Mathematics nor Science. Thus, 60 is not consistent with the given data.

Statements A, B, C and E provide an accurate picture of ICT-based distance education. LMSs host content, asynchronous tools support flexible participation, synchronous tools enable live interaction and support services assist learners. Statement D is false because distance courses often mix flexible and scheduled activities, and F is false since self-regulation is crucial in online environments. Thus the correct combination is A, B, C and E only.

Option A:
Option A is correct because it acknowledges platforms, communication modes and support structures that characterise distance education. It excludes unrealistic requirements for daily synchronous access and the claim that self-regulation is unnecessary.

Option B:
Option B is incomplete because it omits E and therefore fails to mention the importance of digital libraries and helpdesks. Even though A, B and C are true, they do not cover all support aspects.

Option C:
Option C is incorrect because it includes F, which understates the need for learner self-management. Mixing an incorrect statement with B and C makes the combination invalid.

Option D:
Option D is incomplete because it leaves out B and so does not discuss asynchronous participation, which is a hallmark of distance education. A, C and E alone do not represent all correct statements.

Chronemics refers to how time is used in communication,including pauses,pace and timing of interactions. Waiting briefly after asking a question gives students time to think and signals that thoughtful responses are valued. This deliberate use of pause is a chronemic strategy. Therefore,"chronemics" is the correct term.

Option A:
Semantics is concerned with meanings of words,not with time intervals.

Option B:
Oculesics relates to eye contact and gaze,which is a different aspect of non verbal communication.

Option C:
Haptics involves communication through touch,such as handshakes,not timing.

Option D:
Proper use of chronemics can improve participation and quality of responses,making option D appropriate.

The contrapositive of a statement of the form “If p then q” is “If not q then not p,” and these two are logically equivalent. Here, p is “the number is divisible by 6” and q is “the number is divisible by 3.” The contrapositive is therefore “if a number is not divisible by 3, then it is not divisible by 6.” This preserves the logical structure of the original implication while reversing and negating its components.

Option A:
Option A negates p but not q and forms the inverse “If not p then not q,” which is not logically equivalent to the original statement in general.

Option B:
Option B correctly follows the contrapositive pattern ¬q → ¬p, matching the structure of the initial implication about divisibility. It reflects the fact that if a number is not divisible by 3, it cannot possibly be divisible by 6.

Option C:
Option C is the converse q → p, which need not be true simply because the original implication is true; many numbers are divisible by 3 but not by 6.

Option D:
Option D contradicts the original statement directly by combining p with not q, which cannot be true if the original implication holds.

Statements A, B, C and E correctly describe how quantifiers are treated in logic and in the exam, while D is false. Logical “some” is inclusive and allows the possibility that all elements satisfy the predicate, even if conversational usage often suggests otherwise. The universal “all” and “no” correspond to familiar A and E categorical forms, and careful attention to these meanings is essential for solving UGC NET syllogism questions. Thus the combination that includes all true statements and excludes D is A, B, C, E only.

Option A:
Option A is correct because it gathers the logically accurate descriptions of “all”, “some” and “no” and emphasises exam importance, while omitting the misleading claim in D. It reflects both formal semantics and practical test-taking needs.

Option B:
Option B is incomplete since it leaves out E, failing to mention the explicit role quantifiers play in UGC NET question interpretation. A, B, C only therefore does not fully answer the question.

Option C:
Option C is wrong because it omits A, dropping the clear linkage between “all” and universal statements, and so B, C, E only presents only part of the correct picture. Missing A is significant because universal claims are central to categorical logic.

Option D:
Option D is also incorrect as it excludes B, leaving out the crucial clarification that logical “some” does not automatically imply “not all”. A, C, E only is therefore not the full set of true statements.

Statement (1) presents a solvable linear equation, 3x + 2 = 20, which has a unique solution. Solving it gives x = 6, so statement (1) by itself fully determines the value of x. Statement (2) only tells us that x is an integer but gives no equation or relation to narrow down x further. Therefore, statement (2) alone does not allow us to find a unique x. In data sufficiency terms, (1) alone is sufficient while (2) alone is not.

Option A:
Option A correctly reflects that statement (1) yields a unique solution for x, and that statement (2) adds no new restrictive information when used alone.

Option B:
Option B reverses the roles of the statements and incorrectly claims that simply knowing x is an integer is sufficient to find a unique value, which is impossible without an equation.

Option C:
Option C assumes that neither statement can independently identify x, which is incorrect because statement (1) clearly does.

Option D:
Option D states that each statement alone is sufficient, but this overstates the power of statement (2), which does not determine any specific numerical value.

Andragogy refers to the theory and practice of educating adults,emphasising self-direction,experience-based learning and problem-centred instruction. Adult learners typically bring substantial life and work experiences that can be used as resources in learning. The stem explicitly mentions adults as self-directed learners with rich life experience,which corresponds to andragogical principles.

Option A:
Pedagogy is a broader term often associated with teaching children and may not fully capture the specific assumptions about adult learners mentioned here.

Option B:
Behaviourism focuses on observable behaviour and reinforcement,not specifically on adult self-direction and experience as resources.

Option C:
Conditioning is a process within behaviourist psychology and does not name a comprehensive approach to adult education.

Option D:
Andragogy assumes that adults want to take responsibility for their learning and prefer learning that connects with real-life problems,so option D correctly completes the stem.

In communication models,the source or sender is the person who generates ideas,organises them into a message and initiates transmission. In a lesson,the teacher prepares explanations,examples and questions and then starts speaking to students. This act of originating the message makes the teacher the source. Therefore source correctly completes the stem.

Option A:
As source,the teacher is responsible for encoding the subject matter in a form that is understandable to learners. This involves selecting vocabulary,structure and teaching aids that align with learner level. The teacher,not the students,performs this initial encoding,so this option fits precisely.

Option B:
Receiver refers to the person or group for whom the message is intended,which in this case would be the students. They decode the teacher's explanation rather than originating it,so receiver does not match the role described.

Option C:
Channel denotes the medium through which the message travels,such as spoken voice or projected slides,and cannot be equated with the person who begins the explanation. Therefore it is not appropriate in this blank.

Option D:
Feedback is the response given by receivers back to the source,such as questions or quiz answers. It occurs later in the process and does not describe the teacher's initial act of explaining. Hence it is not the correct choice.

Distance learning involves planned teaching activities conducted with learners who are not physically present in the same place as the teacher. ICT tools such as learning management systems, video lectures and discussion forums enable communication and content delivery across distances. This allows flexible access to education for diverse learners. Thus, the mode described in the stem is distance learning.

Option A:
Option A, face to face, assumes that teachers and learners are co-located in the same physical classroom, which contradicts the geographical separation emphasised.

Option B:
Option B is correct because ICT-supported courses that reach learners beyond campus boundaries are routinely classified as open and distance learning in higher education policies.

Option C:
Option C, remedial, refers to support for learners who need additional help and can be offered either face to face or at a distance; it is not defined by geographical separation.

Option D:
Option D, incidental, learning occurs informally and unintentionally and is not a structured mode of delivery using ICT tools.

NDEAR is conceived as a set of principles and building blocks for creating interoperable, open, federated digital systems so that platforms such as DIKSHA, assessment tools and school management applications can exchange data securely and efficiently.

Option A:
Isolated proprietary platforms create silos, duplication and vendor lock-in, which NDEAR explicitly seeks to avoid.

Option B:
This option is correct because it explains NDEAR’s focus on interoperability and ecosystem-building rather than a single monolithic system.

Option C:
Relying on one private vendor goes against the openness and innovation that NDEAR encourages.

Option D:
Limiting digital initiatives to a single online textbook ignores the wide range of content and services envisaged in the architecture.

Haptics is the study of communication through touch,such as handshakes,hugs or pats. A handshake during an award ceremony conveys congratulations,respect and recognition without words. The stem clearly describes such a touch based sign. Therefore it is an example of haptics.

Option A:
Kinesics would emphasise body movements and facial expressions,but here the key cue is physical contact.

Option B:
Haptics specifically concerns touch-based cues; a handshake conveys meaning through touch,so it fits this option.

Option C:
Proxemics concerns distance rather than actual touch.

Option D:
Mass communication refers to media messages sent to large audiences,not interpersonal physical gestures.

Noise is any unwanted interference that distorts or obscures the message while it travels through the channel. Loud traffic entering through the window makes it difficult for students to hear the teacher clearly. This external sound therefore functions as noise in the communication process.

Option A:
Feedback is the receiver's response and is purposeful,unlike random traffic sounds.

Option B:
Channel is the medium such as air or electronic signals and is not itself the interference.

Option C:
Because the example highlights environmental sound reducing clarity,noise is the correct term.

Option D:
Redundancy is used to reinforce messages,whereas noise undermines them.

From “Some doctors are writers” and “All writers are researchers,” we know that there is at least one person who is both a doctor and a writer, and all writers fall within the class of researchers. Therefore, that doctor must also be a researcher. This supports the conclusion that some doctors are researchers. The same overlapping individual also lies in the intersection of doctors and researchers, so it is equally true that some researchers are doctors. Thus, both statements A and C follow.

Option A:
Option A correctly notes that at least one doctor must be a researcher, deriving this from the overlapping subset of doctor-writers being within researchers.

Option B:
Option B overgeneralises by claiming that every doctor is a researcher, which is not warranted by the premises.

Option C:
Option C correctly focuses on the researcher side and notes that some researchers are doctors, because the overlapping individuals are in the researcher class.

Option D:
Option D acknowledges that both perspectives on the same intersection are logically supported, whereas B is not.

This option is correct because a syllogism is a deductive argument formed from two premises and a conclusion. Each statement in a syllogism is usually a categorical proposition involving terms and quantifiers. The conclusion follows logically from the premises if the syllogism is valid. Therefore, such a structured argument is called a syllogism.

Option A:
A proposition is an individual declarative statement that is either true or false. While syllogisms are made up of propositions, the term proposition does not describe the whole argument structure. Thus, this option is too narrow and not correct.

Option B:
A term in logic is a word or phrase that stands for an object or concept, such as the subject or predicate in a proposition. Terms are components inside propositions but not full arguments. Therefore, term is not the right label for the argument described.

Option C:
A quantifier indicates how many objects of a certain kind are being referred to, such as "all" or "some." Although quantifiers appear in categorical propositions, they are not the name of the entire argument form. Hence, quantifier is not the correct answer.

Option D:
A syllogism specifically refers to a deductive argument with exactly two premises and one conclusion, often involving categorical statements. It captures both the structure and the logical relationship described in the question. Therefore, this term correctly names the type of argument mentioned.

Statements A, B, C and E highlight important possibilities and responsibilities in online learning research. A is true because web-based surveys are especially suitable for geographically dispersed samples, and B correctly states that digital systems can be programmed to randomly assign participants to conditions. Statement C is accurate in noting that LMS log data provide rich sources for learning analytics, while E is true because digital traces can reveal identities and therefore require anonymisation. D is false because ethical issues are at least as important online as offline, and F is false since online studies can easily incorporate qualitative interviews via video or chat tools.

Option A:
Option A omits statement E, failing to mention the crucial need to anonymise digital trace data for ethical reasons. While A, B and C are correct, leaving out E means that important ethical considerations are not fully represented. This makes the option incomplete.

Option B:
Option B is correct because it groups A, B, C and E, all of which describe valid design and ethical issues in online research. It also excludes D and F, which downplay ethics and wrongly rule out qualitative methods. Thus, this combination presents all and only the true statements.

Option C:
Option C includes statement F, which incorrectly asserts that qualitative methods cannot be used in online environments. This ignores widely used practices like online interviews and focus groups. As a result, even though B and E are true, the presence of F renders the combination invalid.

Option D:
Option D omits statement B and includes F, thereby losing the idea of digital random assignment and adding a false claim about qualitative methods. This mixture of omission and error makes the option unsuitable as the correct answer.