UGC NET Questions (Paper – 1)

NEP 2020 states that HECI will have four distinct verticals: National Higher Education Regulatory Council (NHERC), National Accreditation Council (NAC), Higher Education Grants Council (HEGC) and General Education Council (GEC). Each will focus on a specific function. This separation is meant to avoid conflicts of interest.

Option A:
This set correctly lists the four verticals proposed under HECI, matching the policy: NHERC for regulation, NAC for accreditation, HEGC for funding and GEC for academic standards.

Option B:
UGC, AICTE, NCTE and NCERT are existing bodies in higher or school education, but NEP 2020 does not designate them as the four HECI verticals.

Option C:
NTA, CBSE, NIOS and NCERT are mainly assessment and school-curriculum bodies, not the higher education regulatory verticals under HECI.

Option D:
RBI and SEBI are financial and securities-market regulators with no role in higher education governance; combining them with NHERC and GEC does not reflect the HECI structure.

Psychological barriers are internal states such as fear,shyness or low self esteem that block effective communication. The student in the stem knows the answer but remains silent due to fear of ridicule. This emotional factor stops the message from being shared. Therefore the barrier is psychological.

Option A:
Physical barriers relate to the environment rather than feelings.

Option B:
Mechanical barriers involve technical faults,not personal anxiety.

Option C:
The key factor is the student's emotional state,making psychological the correct answer.

Option D:
Semantic barriers come from confusion about meanings of words,which is not the issue here.

Stratified random sampling involves dividing the population into relatively homogeneous strata based on characteristics such as gender, region or discipline and then drawing random samples from each stratum. This ensures that important subgroups are adequately represented in the final sample. It can increase the precision of estimates, especially when subgroup differences are substantial. Because the stem mentions dividing the population into homogeneous subgroups and sampling from each, it describes stratified random sampling.

Option A:
Stratified random sampling uses random selection within each stratum, preserving probabilistic principles while controlling subgroup representation. This approach leads to a sample that mirrors the composition of the population with respect to chosen stratification variables. These features align exactly with the process outlined in the stem, making stratified random the correct answer.

Option B:
Simple random sampling selects units from the population without any prior subdivision, giving each element an equal chance of being chosen, but it does not guarantee representation of specific subgroups. Since the question specifies dividing the population into subgroups first, simple random is not the best match.

Option C:
Systematic sampling selects every kth element from an ordered list after a random start, without necessarily dividing the population into strata. Although it is a probability method, it does not follow the subgroup-based approach described in the stem. Therefore, systematic is not appropriate here.

Option D:
Cluster sampling divides the population into clusters, often based on natural groupings such as schools or villages, and then selects some clusters, usually sampling all or many elements within chosen clusters. Clusters are not necessarily homogeneous, and the method focuses on groups rather than ensuring representation from all subgroups. Thus, cluster sampling does not fit the description given.

Statements A, B and D correctly capture the role of higher education institutions in research and innovation. Statement A is true because universities host laboratories, research centres and faculty engaged in both basic and applied work. Statement B is correct in linking university research to innovation and knowledge-driven economic growth. Statement D is also true as policies actively encourage collaborations with industry and international partners, while statement C is false since universities themselves are major supervisors of doctoral research.

Option A:
Option A is incorrect because it includes only A and B and omits D. Collaborative research with industry and international partners is a significant trend in modern higher education, and excluding it makes the description incomplete. A fully correct combination must include D as well.

Option B:
Option B is incorrect because it combines A and D but leaves out B. Without acknowledging the contribution of research to economic development, the answer fails to reflect one of the key justifications for research investment in higher education. Therefore this option does not cover all the correct statements.

Option C:
Option C is correct because it brings together A, B and D, which together describe the institutional, economic and collaborative dimensions of research in higher education. By excluding C, it rejects the false claim that only specialised research institutes can guide doctoral work. This makes the combination consistent with the actual research landscape.

Option D:
Option D is incorrect because it includes C along with B and D. Statement C wrongly denies the central doctoral role played by universities, and its inclusion alongside correct statements makes the option unsound. Hence this combination cannot be chosen.

The positions of the letters are B(2), F(6), J(10), N(14) and R(18). Each term increases by 4 positions (2→6, 6→10, 10→14, 14→18). Continuing this rule, the next position is 18 + 4 = 22, which corresponds to the letter V. Thus V is the only option that maintains the constant step size of 4 in the sequence.

Option A:
Option A, T, corresponds to position 20, which is only 2 steps ahead of R at 18. This contradicts the observed increment of 4 positions between consecutive terms. Because it does not respect the uniform difference, T cannot be the correct continuation.

Option B:
Option B, U, stands at position 21, giving a difference of 3 from R. The sequence does not display variable increments; it keeps a consistent jump of 4. Since U does not satisfy this constant difference property, it fails to fit the pattern.

Option C:
Option C is correct because V is at position 22, exactly 4 places after 18. This preserves the arithmetic progression of positions and ensures that the series continues smoothly. Any deviation from this step size would change the core structure of the series, so V is the only valid next term.

Option D:
Option D, W, lies at position 23, which is 5 steps beyond R. This would increase the gap toward the end of the series without any indication of such change earlier. The absence of a growing difference in previous steps means W cannot be justified by the pattern.

The phrase “p if and only if q” asserts both “if p, then q” and “if q, then p”. In propositional logic, this two-way connection is expressed by the biconditional connective. A biconditional is true exactly when both components share the same truth value. Therefore the compound statement in the stem is called a biconditional.

Option A:
Option A, disjunction, joins statements with “or” and does not require them to share truth values. It lacks the two-way commitment of “if and only if”. Thus disjunction is not the correct answer.

Option B:
Option B, implication, represents the one-way conditional “if p, then q”. It does not capture the reverse implication from q to p. Hence implication alone does not fit the form described.

Option C:
Option C correctly names biconditional as the connective corresponding to “if and only if”. It combines two conditionals into a single equivalence statement. Therefore biconditional is the best choice here.

Option D:
Option D, negation, simply reverses the truth value of a single statement. It cannot express a mutual dependence between two propositions. Consequently negation is not suitable.

NEP 2020 advocates that students should have significant choice in the subjects and courses they study. A choice-based credit system enables them to select majors, minors and electives from various disciplines while meeting programme requirements. This enhances autonomy and matches their interests and career plans.

Option A:
A single fixed curriculum would severely limit student autonomy and contradict the policy’s emphasis on flexibility and multidisciplinary learning.

Option B:
This option correctly identifies flexible credit based curricula and electives as mechanisms for academic freedom. It fits the NEP vision of student centred higher education and is therefore correct.

Option C:
Non credit activities are useful but cannot replace academic course choice. NEP wants flexibility within credit bearing programmes, not just in co curricular areas.

Option D:
Allowing corporate sponsors to dictate curriculum without academic oversight could compromise educational integrity. NEP emphasises university autonomy, so this option is inconsistent.

A gives the defining properties: reflexive, symmetric and transitive. C (equality) and D (congruence modulo n) are classic examples satisfying these properties. B is false because reflexivity cannot be dropped. E is false because equivalence classes can contain multiple elements (e.g., congruence classes modulo n). Therefore A, C and D only are correct.

Option A:
Option A is correct since it includes the definition and two standard examples while excluding B and E, which are false.

Option B:
Option B is incomplete because it ignores D, leaving out an important arithmetic example.

Option C:
Option C is wrong because it includes E, which incorrectly claims all equivalence classes are singletons.

Option D:
Option D is incorrect because it omits A, which states the defining criteria of an equivalence relation.

The null hypothesis, usually denoted H0, asserts that any observed difference or relationship in sample data is due to chance alone and that there is no real effect in the population. It provides a baseline assumption that statistical tests attempt to reject. Decisions about significance are made by comparing test statistics to critical values or p-levels relative to this hypothesis. Therefore, a hypothesis of no significant difference or relationship is correctly called the null hypothesis.

Option A:
The null hypothesis is central to inferential statistics because rejecting it suggests that the data provide sufficient evidence for a real effect, while failure to reject it indicates that evidence is insufficient. This framing of “no effect” or “no difference” matches the description in the stem, making this option correct.

Option B:
The alternative hypothesis proposes that a real difference or relationship does exist and is accepted only if the null is rejected; it does not state “no difference.”

Option C:
A directional hypothesis specifies not only that a difference exists but also the direction of that difference, such as one mean being greater than another, which goes beyond the neutral position of the null.

Option D:
A causal hypothesis posits cause–effect relationships and may be directional; it does not represent the assumption of no relationship that underlies significance testing.

A sound argument is defined as a valid argument with all true premises. Because of validity, the conclusion logically follows from the premises. Because the premises are true, the conclusion must also be true in reality. Thus the description in the stem corresponds exactly to the notion of a sound argument.

Option A:
Option A, strong, usually refers to inductive arguments in which the premises make the conclusion highly probable. Strength does not guarantee truth with necessity and need not involve validity. Therefore strong is not the correct technical term here.

Option B:
Option B correctly names a sound argument as one that is valid with true premises. Such arguments provide the highest level of logical assurance about their conclusions. Hence sound is the most appropriate choice for the situation described.

Option C:
Option C, cogent, also describes a good inductive argument with strong support and true premises. However, cogency belongs to inductive, not strictly valid deductive, reasoning. Thus cogent does not match the definition given in the stem.

Option D:
Option D, invalid, refers to an argument whose conclusion does not follow necessarily from its premises. In an invalid argument, true premises may still lead to a false conclusion. Therefore invalid is the opposite of what is described and cannot be correct.

Simulation method places learners in structured situations that mimic real-life contexts, such as business games, role plays or model environments. Within these simulations, students must make decisions, experience consequences and reflect on outcomes in a safe setting. This approach develops practical judgment and problem-solving skills without the risks of real-world errors. Thus, using role plays or model situations as described in the stem is a classic example of the simulation method.

Option A:
Expository method usually involves detailed explanation and description by the teacher, focusing on clear transmission of information. It does not require students to act out scenarios or make decisions within model situations. Therefore, it does not fit the particular technique mentioned in the question.

Option B:
Simulation method deliberately imitates aspects of reality to let learners practise roles and decisions, such as acting as administrators or negotiators. Students experience the complexity of real-life situations but with the opportunity to experiment and learn from mistakes. Since the stem highlights imitation of real-life conditions through role play, this option correctly names the method.

Option C:
Note making refers to the skill of recording key ideas from lectures, readings or discussions in concise written form. While important for study, it is not itself a teaching method based on model situations. Consequently, it cannot be the correct answer here.

Option D:
Copying suggests reproducing material exactly as it is given, often without deep understanding. It is a low-level activity and does not encompass the interactive, decision-focused nature of simulations. Hence, copying is not an appropriate completion for the stem.

The integer part 10₂ equals 2. The fractional part .1011₂ equals 1/2 + 0/4 + 1/8 + 1/16 = 0.6875. Total = 2 + 0.6875 = 2.6875.

Option A:
Option A correctly computes fractional weights and adds them to the integer part.

Option B:
Option B (2.625) misses the 1/16 term and matches 10.101₂.

Option C:
Option C (2.75) would match 10.11₂, not 10.1011₂.

Option D:
Option D (2.5625) corresponds to a different fractional-bit pattern and is too small.

Statements A, B and D correctly portray how LMS platforms support teaching and learning, while C is false. LMS environments are designed for authenticated users, course-specific resources and detailed activity tracking. They bring together communication, assessment and grading tools in one system. A static website without login cannot automatically provide user-specific histories, so it cannot replace LMS functionality. Therefore, the correct combination is A, B and D only.

Option A:
Option A is incomplete because it includes only A and B but omits D. While resource upload and tracking are crucial, recognising the integrated tools for communication and assessment described in D is also important for a full picture of LMS capabilities.

Option B:
Option B is incorrect because it selects B and D only and leaves out A. Statement A describes the basic course delivery role of an LMS and is indispensable to understanding the platform’s purpose. Excluding it gives an unbalanced view.

Option C:
Option C is incorrect because it groups A, C and D and accepts C. Statement C overstates what static sites can do and ignores the need for user authentication and logging in order to track individuals. Including C makes this combination inaccurate.

Option D:
Option D is correct because it brings together the three true statements, covering resource management, tracking and integrated tools, while excluding the misleading claim in C. It gives a realistic account of LMS use in higher education.

Statements A, B and C correctly describe mixture setups, the alligation shortcut and the fact that equal quantities lead to an average percentage. Statement E is true because both algebraic and alligation approaches are valid for such problems. Statement D is false since in an alligation diagram the differences from the mean are written on the opposite side to the corresponding values, forming the cross pattern. Therefore, A, B, C and E only are correct.

Option A:
Option A is incomplete because it omits E and hence does not reflect the flexibility of solving mixture problems either by equations or by alligation.

Option B:
Option B is correct as it gathers all the true statements and excludes D, which misdescribes the alligation diagram placement rule.

Option C:
Option C is wrong because it includes D (false), even though it contains some true statements.

Option D:
Option D is wrong because it includes D (false) and omits A, losing the general description of mixture problems.

In 8-bit one’s complement, a leading 1 indicates a negative number. To find its magnitude, invert all bits and read the result as an unsigned binary number. Inverting 10011001₂ gives 01100110₂, which equals 64 + 32 + 4 + 2 = 102. Therefore, 10011001₂ represents −102 in one’s complement.

Option A:
Option A is correct because one’s complement encodes −X as the bitwise inversion of +X. Since 10011001₂ inverts to 01100110₂ (= 102), the represented value is −102.

Option B:
Option B (−104) would require the inverted magnitude to be 104 (01101000₂). But the inversion here is 01100110₂ (=102), so it cannot be −104.

Option C:
Option C (−127) is the most negative magnitude possible in 8-bit one’s complement and corresponds to inverting 01111111₂. The given pattern does not invert to 127, so this is incorrect.

Option D:
Option D (−128) is not representable in 8-bit one’s complement (the range is −127 to +127, with both +0 and −0). Hence −128 cannot be the answer.