HPAS Prelims 2014 CSAT (Paper II) with Answers & Explanations

Explanation

The author displays a wide range of interests and roles in the passage. He describes himself as a physiologist who conducts scientific experiments on himself, an adventurer who participates in wars and revolutions, a reader who enjoys Rimbaud's poetry, and an individual who appreciates daily comforts like a private room, books, tobacco, a car, and a bath. This combination of scientific pursuit, physical adventure, literary taste, and specific personal preferences demonstrates that he is a multi-faceted person with diverse dimensions to his personality.

Explanation

The writer explicitly states that because their life is useful, it would be wrong to risk it for the mere sake of risk, such as through activities like mountaineering or motor racing. This shows that although the author demands adventure, they are averse to taking unnecessary or undue risks.

Explanation

The author explicitly distinguishes between "mere risk" (such as mountaineering or motor racing) and true "adventure" (which has a solid satisfaction and serves a useful purpose). According to the passage, risking one's life for the mere sake of risk in mountaineering is wrong, and love of adventure does not mean love of thrills. Therefore, associating mountaineering with adventure contradicts the author's distinction, making it the odd pair out. The other pairs are directly and positively associated in the text: war and revolution are parallel activities of which the author approves, reading Rimbaud's poetry was his only thrill in Madrid, and his profession as a physiologist is directly linked to performing experiments on himself.

Explanation

In the passage, the author uses the phrase "like beef without mustard" to draw a direct comparison between two different concepts. By stating that life without danger is like beef without mustard, the author illustrates how a life lacking risk and adventure would feel bland, flat, and devoid of flavor, much like meat served without a zest-enhancing condiment. This comparison of one scenario to another to clarify and vividly convey a concept is an analogy.

Explanation

The word siege refers to a military operation where enemy forces surround a town, city, or fortress, cutting off essential supplies and communications to force its surrender. This act of surrounding and isolating a place to control traffic and goods in and out is defined as a blockade. In the passage, the author refers to the siege of Madrid, which was a prolonged military blockade of the Spanish capital during the Spanish Civil War.

Explanation

The passage distinguishes between the master class, described as gentlemen who are taught that they are superior and deserve to have others run their errands and earn their income, and the enslaved class of workers, who are under-paid and treated as inferiors. This division directly represents the ruling class, who hold socio-economic power and benefit from the established system, and the ruled, who are subjected to this authority and work under it.

Explanation

The passage directly condemns the curriculum and social role of public schools and universities by stating that they teach falsified history, dishonest political economy, and snobbery. By pointing out that this education brainwashes and deludes the privileged class into believing they are naturally superior to the working class, the author highlights the deep flaws and harmful biases inherent in the academic structure, thereby criticizing the educational system.

Explanation

The passage explains that the education of a gentleman at a public school and a university teaches him that he is superior to the common run of men. This teaching is described as a prodigious mass of humbug and falsified history that thoroughly deludes the master class, making them believe they are naturally superior to the workers who run their errands and earn their income. Thus, the educational setup projects these gentlemen as being deluded by a false sense of superiority.

Explanation

The passage highlights critical flaws in the educational system, noting that it teaches falsified history, dishonest political economy, and snobbery, which deludes the privileged class into feeling superior. To address these fundamental issues, the educational setup must undergo comprehensive reform. It needs to become realistic by discarding false narratives and teachings, introspect to evaluate its role in perpetuating inequality, and be inclusive to bridge the divide between different social classes rather than fostering an elitist mindset. All three aspects are necessary to reform the flawed educational structure described in the passage.

Explanation

The tone of the passage is ironic because the author highlights a sharp, paradoxical contrast where an educational and social system designed to delude the working class actually ends up deceiving the elite master class much more thoroughly. The irony lies in the depiction of the highly educated gentleman who, despite his expensive public school and university training, is completely blinded by falsified history and dishonest political economy. He genuinely believes that a system designed to exploit others for his own comfort is the best of all possible systems, while the underpaid and oppressed workers are far less deceived. This fundamental contradiction between the elite's presumed intellectual superiority and their actual complete delusion creates a deeply ironic perspective.

Explanation

The sentence describes Jawaharlal Nehru expressing or formulating the concept of a Constituent Assembly well before it was officially established. The word articulate means to express an idea or feeling fluently and coherently, which fits the first blank as Nehru was a key leader in clearly formulating and presenting the demand for the assembly. The phrasal verb set up means to establish or initiate an organization or institution, which correctly describes the eventual creation of the Constituent Assembly under the Cabinet Mission Plan of 1946. Both words fit the context of the historical sentence, maintaining grammatical correctness and coherent meaning.

Explanation

The sentence is from E.V. Lucas's essay 'Bores' and reads: 'It requires a sense of superiority, assurance, and self-confidence to write about bores at all, except as one of them.' The first blank demands 'superiority' to match the assertive qualities listed alongside it. The second blank demands 'except' (meaning 'unless you are writing as a bore yourself'); option B's 'accept' is grammatically incorrect in this position.

Explanation

The singular subject "Folk literature" requires a singular verb in the first blank, which is satisfied by "records". In the second clause, the plural pronoun "they" refers back to the plural noun "beliefs", which requires a plural verb, perfectly satisfied by "appear". This combination creates a grammatically correct and meaningful sentence showing how folk literature documents human beliefs as they manifest within customs, traditions, magic, and rituals.

Explanation

Abated means to become less intense or widespread, which accurately describes the grief temporarily lessening or subsiding for a short while. Returns correctly completes the main clause of the sentence, showing that after this brief period of relief, the grief has come back to affect him with even greater intensity.

Explanation

The sentence is a direct quote from George Bernard Shaw's famous essay Freedom, where he writes: "If you had your choice, would you work for eight hours a day and retire with a full pension at forty-five, or would you rather work four hours a day and keep on working until you are seventy?"

The idiomatic expression "if you had your choice" is used to ask what someone would prefer to do if they had the freedom or power to decide. Furthermore, the mention of receiving a "full pension at forty-five" directly correlates with the word "retire", as a pension is typically a financial benefit received upon retirement. Therefore, the combination of "choice" and "retire" fits both the context and the original literary text perfectly.

Explanation

Social facilitation is a fundamental concept in social psychology where an individual's performance on simple or well-practiced tasks improves in the presence of others. The presence of an audience increases physiological arousal, which naturally enhances the likelihood of performing dominant, well-rehearsed responses correctly.

Explanation

An ad hoc group is a temporary unit or committee established to address a specific, immediate task or problem. Once that designated purpose is accomplished, the group is dissolved. It is not an enduring or permanent group, nor does it exist to fulfill multiple, ongoing goals for its members. This makes the description of an ad hoc group as enduring and multi-purpose incorrect.

Explanation

Stanley Milgram, a social psychologist at Yale University, conducted the famous obedience experiments in the 1960s. These experiments investigated the conflict between obedience to authority and personal conscience. Participants were instructed by an authority figure, the experimenter, to administer increasingly severe, simulated electric shocks to a learner in another room for incorrect answers. The study demonstrated that a high proportion of individuals would fully obey instructions from an authority figure, even when the actions conflicted with their moral beliefs.

Explanation

Leon Festinger proposed the theory of cognitive dissonance in 1957. The theory states that individuals experience psychological discomfort or dissonance when they hold conflicting beliefs, ideas, or values, or when their behavior contradicts their beliefs. To resolve this uncomfortable state, people are motivated to align their cognitions and behaviors by changing their attitudes, beliefs, or actions, or by rationalizing the discrepancy to restore cognitive consistency. Festinger demonstrated this concept through influential social psychology experiments, most notably the peg-turning experiment.

Explanation

Groupthink is a psychological phenomenon where the desire for harmony and conformity within a highly cohesive group leads to dysfunctional and irrational decision-making. To prevent this, social psychologist Irving Janis proposed several leadership strategies aimed at fostering open discussion and independent critical thinking. Leaders can mitigate groupthink by refraining from stating their own preliminary opinions at the outset of a meeting, which prevents staff members from simply aligning with the leader's preferences. Additionally, leaders should actively encourage all sides of an issue to be aired, establishing a norm of critical evaluation and welcoming dissenting viewpoints. Keeping the group connected with external experts and avoiding insulation also ensures that decision-makers are not isolated from objective, diverse perspectives. Together, these practices safeguard the integrity of the collective deliberative process.

Explanation

Leon Festinger, in his research on informal social communication and group dynamics, proposed that the pressure on members to conform to group standards is a direct function of group cohesiveness. Group cohesiveness is defined as the strength of the forces or attraction keeping members within the group. When a group is highly cohesive, its members place a high value on group membership, consensus, and interpersonal relationships. Because maintaining uniformity is crucial for the group to function effectively and achieve its goals, cohesive groups exert a stronger influence and pressure on any member who deviates from the established norms to conform to the group standard.

Explanation

Loyalty represents a psychological and moral commitment to a group or its members, characterized by a deep sense of duty. This feeling of obligation arises naturally from shared experiences, background, or a common place in history. It binds individuals to support, protect, and remain faithful to fellow group members, forming a non-contractual moral responsibility. Therefore, the term obligation perfectly defines this inherent feeling of duty that underlies loyalty.

Explanation

Social facilitation is a psychological concept that describes how the physical presence of other people or an audience influences individual performance. According to Robert Zajonc's drive theory of social facilitation, the presence of others increases an individual's physiological arousal. This heightened state of arousal enhances the emission of dominant responses, which are well-learned, habitual, or instinctive behaviors. Consequently, for simple or highly practiced tasks where the dominant response is correct, the presence of an audience facilitates and improves overall performance.

Explanation

In Ivan Steiner's taxonomy of group tasks, a conjunctive task is defined as a task where the group's overall performance is determined entirely by its weakest or slowest member. Because the group must work in unison or complete a sequence where everyone must succeed for the group to succeed, the outcome is limited by the individual with the poorest performance. An example of a conjunctive task is mountain climbing with a rope connecting the climbers, where the entire group can only move as fast as the slowest climber.

Explanation

Under Steiner's taxonomy of group tasks, an additive task is defined as one where the overall performance of a group is the direct sum or cumulative aggregate of all individual members' inputs. Because the final outcome is calculated by combining each person's efforts, every single member's contribution counts directly towards the collective result.

In a disjunctive task, the group's performance is determined solely by the single best performer, meaning other members' contributions do not affect the final outcome. In a conjunctive task, the group's performance is restricted by its weakest link or poorest-performing member. Therefore, only in an additive task does every single member's contribution actively and cumulatively count toward the group's total performance.

Explanation

The false consensus effect is a cognitive bias where individuals overestimate the extent to which their own beliefs, values, characteristics, and behaviors are shared by others. This psychological tendency is categorized as an egocentric bias because it stems from using oneself as the central reference point or default standard when estimating public consensus or predicting social behavior. It was first thoroughly investigated in social psychology by Lee Ross, David Greene, and Pamela House in 1977, who conceptualized it as an egocentric bias in social perception.

Explanation

The fundamental attributional error (also known as the correspondence bias) refers to the tendency of observers to underestimate the influence of situational or environmental factors and overestimate the influence of dispositional or internal factors when evaluating someone else's behavior. When people make this error, they tend to take the behavior at face value, assuming that the action directly reflects the actor's stable, personal characteristics or true nature rather than being a response to temporary circumstances.

Explanation

Confirmation bias is a cognitive bias where individuals actively search for, interpret, and recall information in a way that aligns with and confirms their preexisting beliefs or hypotheses. Under this bias, people tend to give disproportionate weight to evidence that supports their initial assumptions while systematically ignoring, overlooking, or undervaluing any evidence that disproves or contradicts them. This psychological phenomenon prevents objective evaluation of facts and reinforces one-sided viewpoints.

Explanation

Every human society and culture possesses a moral system, as morality is a universal social institution. Anthropological and sociological evidence indicates that all cultures develop a framework of shared values, ethical codes, and behavioral norms to regulate individual conduct, resolve conflicts, and maintain social cohesion. Without these moral guidelines, cooperative social living and the preservation of a community would be impossible, meaning that no culture exists without some form of a moral system.

Explanation

Lawrence Kohlberg's theory of moral development is rooted in Jean Piaget's cognitive-developmental approach, which emphasizes that moral reasoning is fundamentally a function of cognitive development. Kohlberg argued that as a child's cognitive abilities mature, their capacity to process complex social situations, conceptualize justice, and understand abstract ethical principles expands. This cognitive growth enables the individual to transition from a self-centered perspective to a decentralized one, allowing them to take on a broader, socio-centric perspective regarding the impact of their own actions.

Explanation

In Jean Piaget's theory of cognitive development, egocentrism refers to a child's inability to understand or adopt any perspective other than their own. During the preoperational stage of development, typically occurring between the ages of 2 and 7, children naturally assume that others see, hear, feel, and experience the world in exactly the same way they do. This cognitive limitation prevents them from perceiving situations from another person's point of view.

Explanation

Altruism is a moral principle and social behavior characterized by selfless concern for the well-being of others. It involves taking actions that benefit other individuals, driven purely by the desire to help others, often at a personal cost or risk, and without any expectation of personal reward or benefit.

Explanation

The concept of distributive justice is concerned with the fair and equitable allocation of resources, rewards, and burdens among individuals in a society or organization. In social psychology and organizational behavior, particularly through J. Stacy Adams' Equity Theory, equity is defined as one of the fundamental allocation principles of distributive justice. Under this principle, individuals receive outcomes (rewards, benefits) that are directly proportional to their inputs (contributions, effort, skill). Along with equality and need, equity serves as a key rule used to assess and achieve distributive justice, making it a distinct type of distributive justice.

Explanation

The frustration-aggression hypothesis, proposed by John Dollard, Neal Miller, and their colleagues in 1939, asserts that frustration is a primary and powerful determinant of aggression. The hypothesis defines frustration as the state that emerges when a person is blocked from reaching a desired goal. According to this psychological theory, the occurrence of aggressive behavior always presupposes the existence of frustration, and conversely, the existence of frustration inevitably leads to some form of aggressive response.

Explanation

Group polarization refers to the tendency for a group to make decisions that are more extreme than the initial inclination of its members. During a group discussion, members are exposed to new persuasive arguments that support their initial leanings, and they may also shift their positions to present themselves in a more favorable light relative to the group norm. This process of social comparison and informational influence leads individuals to adopt more extreme viewpoints than they originally held prior to the group interaction.

Explanation

The analogy is based on the defining physical characteristic of the objects. A feather is universally characterized by being light in weight. Similarly, a rock is universally characterized by being firm, hard, and solid.

Explanation

A lumberjack is a professional whose work involves cutting down trees, and an axe is a characteristic tool used in this trade. In the same manner, a chef is a professional cook, and a colander, which is a perforated bowl used for straining and draining food, is a fundamental tool used in their culinary work. The analogy represents the relationship between a profession and its primary tool.

Explanation

In the first part of the analogy, the letter pattern aabbbabba is mapped to YYZZZYZZY. If we assign numerical values to the letters Y and Z based on their positions from the end of the alphabet, Z (the first letter from the end) represents 1, and Y (the second letter from the end) represents 2.

Following this logical pattern for the string xxzzxzzx, the letters are replaced by their corresponding reverse alphabetical order values 1 and 2. The letter z (the first letter from the end of the alphabet) corresponds to 1, and the letter x (the next letter from the end of the alphabet among the pair) corresponds to 2.

Substituting x with 2 and z with 1 in the sequence xxzzxzzx directly gives the number 22112112.

Explanation

The differences between the consecutive terms in the given series show a clear alternating pattern:

195 - 165 = 30 255 - 195 = 60 285 - 255 = 30 345 - 285 = 60

Since the differences alternate between 30 and 60, the next difference in the sequence must be 30.

Adding 30 to the last term: 345 + 30 = 375

Explanation

In this letter series, each letter of a term is obtained by shifting the corresponding letter of the previous term forward by 5 positions in the alphabetical order.

For the first letter of each term, the positions in the alphabet are: c (3) + 5 = h (8) h (8) + 5 = m (13) m (13) + 5 = r (18) r (18) + 5 = w (23) w (23) + 5 = b (28 or 2)

For the second letter of each term, the positions are: m (13) + 5 = r (18) r (18) + 5 = w (23) w (23) + 5 = b (28 or 2) b (2) + 5 = g (7) g (7) + 5 = l (12)

For the third letter of each term, the positions are: w (23) + 5 = b (28 or 2) b (2) + 5 = g (7) g (7) + 5 = l (12) l (12) + 5 = q (17) q (17) + 5 = v (22)

Combining these letters yields the term mwg.

Explanation

Gold is a chemical element and a precious metal rather than a standard color name. The color associated with this metal is specifically termed golden. This distinction makes it the odd word out because the other choices are direct names of colors.

Explanation

Shark, Cod, and Eel are all fish (vertebrates). The question is defective as none of the options are fish; however, Whale and Dolphin are at least vertebrates and large aquatic animals, whereas Conch and Oyster are mollusks (invertebrates). Between the two vertebrate options, Whale is the best-fit as the closest large aquatic creature to the given group.

Explanation

The Earth's interior is divided into concentric layers based on their chemical composition and physical properties. Sial (silicon and aluminium) and Sima (silicon and magnesium) represent the composition of the Earth's crust, while the Mantle and the Core represent the deeper, major layers of the Earth's internal structure. All of these terms are fundamental components used to describe the internal division of the Earth.

Explanation

This coding scheme is based on direct letter-to-letter substitution. By mapping the letters from the given words to their corresponding code letters, we establish the following individual relationships:

From TEACHER coded as XWPBRWM: T is coded as X E is coded as W A is coded as P C is coded as B H is coded as R R is coded as M

From HIGHLY coded as RSNRDZ: H is coded as R I is coded as S G is coded as N L is coded as D Y is coded as Z

Using these established substitutions, the code for the word CHARITY is derived letter by letter: C becomes B H becomes R A becomes P R becomes M I becomes S T becomes X Y becomes Z

Combining these code letters in sequence gives BRPMSXZ.

Explanation

The coding follows a direct letter-to-digit substitution. By comparing the given words and their respective codes, the digits for individual letters are:

R is 6 O is 8 S is 2 E is 1 C is 7 H is 3 A is 4 I is 5 P is 9

By substituting these values for the word SEARCH: S corresponds to 2 E corresponds to 1 A corresponds to 4 R corresponds to 6 C corresponds to 7 H corresponds to 3

Combining these digits in order gives the code 214673.

Explanation

The directions North-East and South-East are perpendicular to each other, making the angle between them 90°. This forms a right-angled triangle where the two legs are 8 km and 6 km, and the straight-line distance from the starting point to the final point represents the hypotenuse.

Using the Pythagorean theorem:

Distance² = 8² + 6²

Distance² = 64 + 36

Distance² = 100

Distance = √100 = 10 km

This follows the standard 3-4-5 Pythagorean triplet scaled by a factor of 2, giving the sides 6 km, 8 km, and 10 km.

Explanation

Amit's mother's grandson is Amit's son. The girl is the wife of this grandson, which means she is the wife of Amit's son. This relation makes the girl Amit's daughter-in-law, and consequently, Amit is the father-in-law of the girl.

Explanation

To find the last person to reach, we can determine the order of arrival from 1st to 5th.

Since Edgar and Abraham were among the first ones to lead, they occupy the earliest positions.

We are given that Taylor reached before Solin, meaning Taylor arrived earlier than Solin.

The key clue is that only Nahun reached after Edgar and Solin. This means Nahun is the single individual who arrived later than both Edgar and Solin. For Nahun to be the only person positioned after both of them, Nahun must occupy the 5th and final position.

A consistent order representing this sequence is Abraham arriving 1st, Edgar 2nd, Taylor 3rd, Solin 4th, and Nahun 5th. In this arrangement, only Nahun is after both Edgar and Solin, which identifies Nahun as the last person to reach.

Explanation

Indexing the series 7866867887886877867868787 from 0, the digit 8 is followed by 7 at positions 8 (→index 9=7), 13 (→index 14=7), 21 (→index 22=7), and 23 (→index 24=7). Checking the preceding digit: position 8 has prev=8 (not 6, valid); position 13 has prev=6 (invalid); position 21 has prev=6 (invalid); position 23 has prev=7 (not 6, valid). Exactly two 8s satisfy both conditions.

Explanation

LEARNING has letters L(1st), E(2nd), A(3rd), R(4th), N(5th), I(6th), N(7th), G(8th). The required letters are therefore L, A, R, and I. Using all four letters, exactly four well-known English words can be formed: LAIR, LIAR, RAIL, and LIRA — making the answer Four.

Explanation

The condition specifies that the Environment volume must be published immediately before the Current Affairs volume. If the Current Affairs volume were to be published in the first slot, there would be no preceding slot available to publish the Environment volume. Therefore, the Current Affairs volume cannot be published first.

Explanation

By placing the Economics volume in the first slot, we can determine the positions of the remaining volumes:

Since the Science and Technology volume must be published either on the first or the seventh slot, and the Economics volume is on the first slot, the Science and Technology volume must be on the seventh slot.

Since either the Geography volume or the Economics volume must be on the fourth slot, and the Economics volume is on the first slot, the Geography volume must be on the fourth slot.

The Geography volume on slot 4 must be published before the Environment volume, and the Environment volume must be published immediately before the Current Affairs volume. Therefore, the Environment volume and the Current Affairs volume must occupy the fifth and sixth slots respectively.

The remaining two volumes (Politics and History) can be published in the second and third slots in any order.

This publication schedule satisfies all the given conditions, confirming that the Economics volume being published first is a valid configuration.

Explanation

To find if the History volume can be published in the third slot, we can construct a valid sequence that satisfies all the given conditions when Politics is at the second slot and History is at the third slot.

Let the slots be numbered 1 to 7. We are given that the Politics volume is published in slot 2, and we assume the History volume is published in slot 3. Since the Science and Technology volume must be published in either the first or seventh slot, we can place it in slot 1.

Now, slots 1, 2, and 3 are occupied by Science and Technology, Politics, and History, respectively. The remaining slots are 4, 5, 6, and 7, and the remaining volumes to be published are Geography, Environment, Current Affairs, and Economics.

According to the condition that either Geography or Economics must be in the fourth slot, we can place Geography in slot 4. Since the Environment volume must be published immediately before the Current Affairs volume, they must occupy consecutive slots. We can place Environment in slot 5 and Current Affairs in slot 6. This leaves slot 7 for Economics.

Let us verify all the conditions for this sequence: Science and Technology is in slot 1. Politics is in slot 2. History is in slot 3. Geography is in slot 4. Environment is in slot 5. Current Affairs is in slot 6. Economics is in slot 7.

Geography is published before Environment (4 < 5). Environment is published immediately before Current Affairs (slots 5 and 6). Economics (slot 7) is not published immediately before or immediately after Environment (slot 5). Science and Technology is published in slot 1. Geography is published in slot 4.

All constraints are successfully satisfied. Thus, the History volume can be published in the third slot.

Explanation

To determine if the History volume can be published third, we can construct a valid sequence of publication slots from 1 to 7 that satisfies all the given conditions:

If Science and Technology is published 1st, Economics 2nd, History 3rd, Geography 4th, Environment 5th, Current Affairs 6th, and Politics 7th, then:

Geography (4th) is published before Environment (5th). Environment (5th) is published immediately before Current Affairs (6th). Economics (2nd) is not adjacent to Environment (5th). Science and Technology is published on the 1st slot. Geography is published on the 4th slot.

Since all conditions are successfully met, this sequence is valid, showing that the History volume being published third is a possible and true scenario.

Explanation

We are given seven slots and seven volumes: Politics, Geography, History, Science and Technology, Economics, Environment, and Current Affairs.

History is published at slot 6. Science and Technology must be published at slot 1 or slot 7. Let us analyze these two possibilities:

Case 1: Science and Technology is at slot 1. Either Geography or Economics must be at slot 4. If Geography is at slot 4, Environment (which must be after Geography) can only be at slot 5 or 7. If Environment is at 5, Current Affairs must be at 6, but slot 6 is occupied by History. If Environment is at 7, Current Affairs must be at 8, which does not exist. Thus, slot 4 cannot be Geography. So slot 4 must be Economics. The consecutive block of Environment and Current Affairs must occupy two adjacent slots. The only available adjacent slots are 2 and 3 (since slot 5 and slot 7 are isolated). This means Environment is at slot 2 and Current Affairs is at slot 3. However, Geography must be published before Environment, which requires Geography to be at slot 1. But slot 1 is already occupied by Science and Technology. Thus, Case 1 is invalid.

Case 2: Science and Technology is at slot 7. Again, slot 4 cannot be Geography because there are no consecutive slots available after slot 4 to place the Environment and Current Affairs block. Thus, slot 4 must be Economics. The adjacent block of Environment and Current Affairs must be placed in slots 2 and 3, allowing Geography to be placed before Environment at slot 1. This also satisfies the condition that Economics (slot 4) is not adjacent to Environment (slot 2). This leaves slot 5, which must be occupied by the remaining volume, Politics.

The complete arrangement is: 1: Geography 2: Environment 3: Current Affairs 4: Economics 5: Politics 6: History 7: Science and Technology

Explanation

The second statement is "Some oranges are bananas". According to the rules of logical conversion, a particular affirmative proposition of the form "Some A are B" can be converted directly into "Some B are A". Therefore, "Some oranges are bananas" directly implies "Some bananas are oranges", making conclusion II logically valid.

For conclusion I, both given premises are particular propositions. Since the middle term "oranges" is not distributed in either of the statements, no definite relation can be established between the remaining terms "apples" and "bananas", meaning conclusion I does not follow.

Explanation

Let R represent rubbers, L represent leather, and E represent elastic.

The statement "Some rubbers are leather" establishes that there is an intersection between the set of rubbers and the set of leather (R ∩ L ≠ ∅).

The statement "All rubbers are elastic" means that the set of rubbers is entirely contained within the set of elastic (R ⊆ E).

Because the entire set of rubbers is a subset of the set of elastic, any element that is a rubber must also be an elastic. Since there are elements that are both rubbers and leather, those elements must also belong to the set of elastic. This guarantees an overlap between the set of elastic and the set of leather, making the conclusion "Some elastics are leather" logically valid.

Explanation

From the first statement, all coats are bags, which means the set of coats is entirely contained within the set of bags. It directly follows by conversion that some bags are coats, making conclusion I logically valid. The second statement only establishes a relation between bags and toys, which does not guarantee any intersection between toys and coats, meaning conclusion II does not definitely follow.

Explanation

The two given statements are particular affirmative (I-type) propositions: "Some teachers are adults" and "Some adults are poets". In a particular affirmative proposition, neither the subject nor the predicate term is distributed. For any valid conclusion to be drawn between the remaining terms, the middle term, which is "adults" in this case, must be distributed in at least one of the premises. Since "adults" is not distributed in either statement, no definite connection can be established between "teachers" and "poets". Consequently, neither conclusion I nor conclusion II logically follows.

Explanation

Argument I ('it has been done elsewhere') is weak because precedent alone is not a substantive policy justification. Argument II ('the quality of healthcare services will deteriorate') is also weak because it is an unsupported assumption — nationalization does not necessarily cause quality deterioration, and no evidence or causal mechanism is provided. Neither argument meets the standard of a logically strong argument.

Explanation

The Governor is the nominal or constitutional head (de jure head) of the state and holds the highest ceremonial office in terms of protocol. However, in a parliamentary form of government, the real executive authority (de facto head) is vested in the Chief Minister. The Chief Minister exercises actual administrative, legislative, and decision-making power, and leads the council of ministers. Thus, the argument that the Chief Minister commands more power is a strong and factually correct argument regarding the functional superiority of the two positions.

Explanation

Argument II is a strong argument because the institution of marriage serves as the foundational pillar of social organization across civilizations. It provides a structured framework for the family unit, legal and emotional security, and the socialization of children. The stability of family structures, regulated through marriage, is essential for the orderly continuation, development, and overall survival of human society.

Explanation

Both statements are independent effects of a single common cause: the rapidly growing popularity of cricket among the public. This craze simultaneously drives people to crowd stadiums (B) and creates the public demand that prompts cable operators to start telecasting matches (A). Stadium crowding does not directly cause telecasting; the two phenomena are parallel consequences of the same underlying cricket craze.

Explanation

Statement A deals with the negative impact of terrorism on public peace and security, which is a socio-political and law-and-order issue. Statement B concerns the country's technological and scientific progress in nuclear research through heavy water exploration, which serves as a matter of national achievement and public reassurance. These two situations belong to completely different domains with no logical or causal link connecting them. The rise in terrorist activities does not cause or result from nuclear research developments, and they do not share a common immediate cause. Consequently, both statements are entirely independent of each other.

Explanation

The liberalization policy adopted by the government opened up the domestic market to foreign investment and trade, which directly facilitated the entry and establishment of numerous multinational corporations (MNCs) in the country. Once these foreign companies entered the domestic market with superior technology, larger capital reserves, and global brand value, it naturally led to intense competition for domestic Indian manufacturers. Thus, the influx of MNCs due to liberalization acted as the cause, and the resulting competitive pressure on local manufacturers is its direct effect.

Explanation

To determine the status of Raju Chandra's application, we analyze his credentials against the given criteria:

First, he scored 70% in XIIth Std. with Physics, Chemistry, and Mathematics, satisfying the requirement of at least 60% in criterion i.

Second, regarding age, he was born on 25th February 1991. As of 15th July 2013, his age is 22 years, 4 months, and 20 days. This exceeds the maximum age limit of 22 years specified in criterion ii.

Third, he has a graduation degree in Mathematics with 90% marks. This does not satisfy criterion iii, which requires a graduation degree in an Engineering discipline. Although exception I allows appointment if a candidate fails the percentage requirement in engineering but has 90% in graduation, Raju does not possess an Engineering degree at all.

Fourth, he has passed the written examination, satisfying criterion iv.

Fifth, he secured 55% in the group discussion and interview, satisfying the requirement of at least 50% in criterion v.

Lastly, he has completed a Post-graduation with 50% marks, but the discipline of this Post-graduation is not specified. Since we do not know if his post-graduation is in Engineering, and whether any specific relaxation can be applied to his non-engineering background and overage status, the provided data is insufficient to make a definitive decision.

Explanation

Mohan Rai's credentials are evaluated against each criterion as follows:

Criterion (i): He secured 70% aggregate marks in Physics, Chemistry, and Mathematics in XIIth Std, which satisfies the minimum of 60% required. ✓

Criterion (ii): The requirement is 'not more than 22 years as on 15th July 2013'. Mohan was born on 15th April 1991. As on 15th July 2013, his age is exactly 22 years and 3 months — which is MORE than 22 years. He does NOT satisfy this criterion. ✗

Criterion (iii): He has appeared in the final degree examination but is not yet a graduate, so this criterion is not currently satisfied.

Criterion (iv): He has passed the written examination. ✓

Criterion (v): He secured 75% marks in both group discussion and interview, exceeding the required 50%. ✓

The three special exceptions available are: (I) Failing criterion (iii) in percentage terms but scoring 90% in graduation → may be appointed (II) Failing criterion (iv) but holding a post-graduate degree in Engineering → refer to Director-Personnel (III) Failing criterion (iii) but having appeared in the final degree examination → may be provisionally appointed

Exception (III) could waive criterion (iii), but none of the exceptions waive criterion (ii) — the age limit. Since Mohan's age of 22 years 3 months on the cut-off date of 15th July 2013 exceeds the 22-year ceiling, and no exception covers the age criterion, he cannot be appointed in any capacity.

Therefore, the correct decision is C: Do not appoint.

Explanation

To determine whether Sameer Aggarwal can be appointed to the post of Technical Officer in BSNL, his profile must be evaluated against all the mandatory criteria.

According to criterion (ii), the candidate must not be more than 22 years old as on 15th July 2013. Sameer was born on 19th March 1992, making him 21 years and approximately 4 months old, which satisfies this condition. Criterion (iii) requires a graduate degree in Engineering with at least 50% marks. Sameer has a graduation degree in Civil Engineering with 60% marks, satisfying this requirement. Criterion (iv) requires passing the written examination, which he has done. Criterion (v) requires at least 50% marks in the group discussion and interview, and Sameer secured 60% marks in both, satisfying this condition.

However, criterion (i) mandates that the candidate must have passed the XIIth examination with at least an aggregate of 60% in Physics, Chemistry, and Mathematics. The provided profile of Sameer Aggarwal contains no information regarding his performance or marks in the XIIth class examination or PCM. Since this critical piece of information is missing, it is impossible to determine whether he meets all the eligibility criteria. Therefore, the data provided is inadequate to take a decision on his appointment.

Explanation

Sonam satisfies all five primary criteria for the post of Technical Officer in BSNL.

For criterion (i), she secured 70% aggregate marks in Physics, Chemistry, and Mathematics in XIIth Standard, which is well above the required minimum of 60%.

For criterion (ii), since she will turn 23 years old on 10th August 2014, her date of birth is 10th August 1991. On 15th July 2013, her age is 21 years and approximately 11 months. Therefore, she is not more than 22 years of age as on 15th July 2013.

For criterion (iii), she is a graduate in Chemical Engineering with 60% marks, which satisfies the requirement of being an engineering graduate with at least 50% marks.

For criterion (iv), she has successfully passed the written examination.

For criterion (v), she secured 55% marks in both group discussion and interview, satisfying the requirement of at least 50% marks in both.

Since all the conditions are met, she qualifies for the appointment.

Explanation

To determine the decision for Arun Jha, we evaluate his details against each criterion:

Criterion (i) requires at least 60% aggregate in Physics, Chemistry, and Mathematics in XIIth. Arun has secured 90% aggregate marks, satisfying this condition.

Criterion (ii) states the candidate must not be more than 22 years as on 15 July 2013. Born on 19 July 1991, Arun will turn 22 on 19 July 2013. Therefore, as on 15 July 2013, his age is 21 years and 361 days, which is under 22 years. This condition is satisfied.

Criterion (iii) requires being a graduate in Engineering with at least 50% marks. Arun is waiting for the result of his final degree examination, so he does not yet fulfill this. However, exception (III) states that a candidate who satisfies all other criteria except (iii) but has appeared in the final degree examination may be provisionally appointed. Arun has appeared and is waiting for his results, making him eligible for this exception.

Criterion (iv) requires passing the written examination. Arun has passed the written examination, satisfying this condition.

Criterion (v) requires passing the group discussion and interview with at least 50% marks. Arun secured 60% marks in both, satisfying this condition.

Since Arun satisfies all criteria except (iii), and qualifies under exception (III), he should be provisionally appointed.

Explanation

The largest circle that can be inscribed inside a rectangle has its diameter equal to the shorter side of the rectangle.

The rectangle has sides 18 cm and 14 cm. The shorter side is 14 cm, so the diameter of the largest inscribed circle is 14 cm, giving a radius r = 7 cm.

Area of the circle = πr² = (22/7) × 7² = (22/7) × 49 = 22 × 7 = 154 cm²

Therefore, the area of the largest circle that can be drawn inside the given rectangle is 154 cm², which corresponds to option B.

Explanation

When four circles of radius r are placed such that each circle touches two other circles, their centers form a square of side 2r.

The side of the square formed by joining the centers of the four circles is 2 × 7 = 14 cm. Area of this square = side² = 14² = 196 cm²

The parts of the four circles that lie inside this square are four quadrants, each with a central angle of 90°. Together, these four quadrants form a complete circle of radius 7 cm. Area of the four quadrants = πr² = (22/7) × 7² = 154 cm²

The area of the space enclosed between the four circular pieces is the difference between the area of the square and the area of these four quadrants: Enclosed area = 196 - 154 = 42 cm²

Explanation

Let the total capacity of the tin be x bottles.

Initially, the quantity of oil in the tin is (4/5)x bottles. Taking out 7 bottles and pouring in 4 bottles results in a net removal of 3 bottles of oil.

According to the given condition, the remaining oil is (3/4)x bottles. This relation can be written as:

(4/5)x - 3 = (3/4)x

Rearranging the terms to solve for x:

(4/5)x - (3/4)x = 3

Taking the common denominator of 5 and 4, which is 20, we get:

(16/20)x - (15/20)x = 3

(1/20)x = 3

x = 3 × 20 = 60

Explanation

Using the complement rule, the probability of choosing at least one defective mobile phone is equal to 1 minus the probability of choosing no defective phones (meaning both selected phones are non-defective).

The total number of mobile phones is 10, of which 4 are defective and 6 are non-defective.

The total number of ways to select 2 phones from 10 is given by the combination formula ¹⁰C₂: ¹⁰C₂ = (10 × 9) / (2 × 1) = 45

The number of ways to select 2 non-defective phones from the 6 available is given by ⁶C₂: ⁶C₂ = (6 × 5) / (2 × 1) = 15

The probability of selecting two non-defective phones is: P(both non-defective) = 15 / 45 = 1/3

Therefore, the probability that at least one of the chosen phones is defective is: P(at least one defective) = 1 - P(both non-defective) = 1 - 1/3 = 2/3

Explanation

Using the trigonometric ratio for a right-angled triangle formed by the pole, its shadow, and the sun ray, the tangent of the angle of elevation θ is the ratio of the height of the pole to the length of its shadow.

tan θ = height / shadow

Substituting the given values into the formula:

tan θ = √3 / 1 = √3

Since tan 60° = √3, the angle of elevation of the sun is 60°.

Explanation

From the given relationships, Z is the mother of Y, and Q and Y are sisters, which makes Z the mother of Q as well. Since P is the son of Z, P is the brother of Q and Y. Since R is the son of Q, the brother of Q (which is P) must be the maternal uncle of R.

Explanation

To determine the picnic spot, we need to evaluate the given conditions and cases. The friends have Rs. 4,500, which is less than the required Rs. 5,000, violating Condition 3. However, Case P allows a saving of Rs. 1,000 for having a car and another Rs. 1,000 for free hotel accommodation, effectively resolving the cash constraint.

Condition 5 is also violated because three friends have not finished all their final exams. Case Q states that if Condition 5 alone is violated and none of them have final exams in the next two months, they can go to Chandigarh. Although we know three friends have not finished their exams, the given data does not provide any information about whether they have final exams scheduled in the next two months. Without this crucial information, it is impossible to determine whether the criteria for Case Q are met or if the friends must stay at home.

Explanation

The group of six friends has Rs. 4,200 cash, which is less than the Rs. 5,000 required in Condition (3), thereby violating it. However, Case P specifies that if Condition (3) is violated but they have a car, Rs. 1,000 can be saved. This reduces the effective minimum cash required to Rs. 4,000 (Rs. 5,000 − Rs. 1,000). Since they have Rs. 4,200, they satisfy this modified cash requirement.

Additionally, all friends have finished their exams, satisfying Condition (5). The group consists of exactly 2 boys and 4 girls, which fulfills the condition to go to Shimla under Condition (4). Under these conditions, the friends can go to Shimla.

Explanation

The group consists of two boys and four girls, which satisfies the gender criteria to go to Shimla under condition (4). Their total cash is Rs. 5,800, which satisfies condition (3) of having at least Rs. 5,000. However, four members have their final exams in five months, which violates condition (5) requiring everyone to have finished their exams. Since all other conditions are satisfied, condition (5) is the only one violated. Under case Q, if condition (5) alone is violated and no member has final exams in the next two months, they go to Chandigarh. Since five months is greater than two months, this exception applies directly.

Explanation

The group consists of 3 boys and 3 girls, has an average age of 24 years, has finished their final exams, and possesses Rs. 15,000 in cash.

Condition 2 states that if there are exactly 3 boys and 3 girls in the group, they must go to Manali. The group meets this gender composition.

Condition 1 requires the average age of the group to be more than 21 years to go to Manali. Since the group's average age is 24 years, this condition is satisfied.

Condition 3 requires the total cash to be at least Rs. 5,000 to avoid staying at home. The group has Rs. 15,000, which satisfies this condition.

Condition 5 requires each member to have finished their final exams, which they have done.

Since all required conditions are fully satisfied, the friends can go to Manali.

Explanation

The group of friends has ₹3,000, which is less than the required ₹5,000 under Condition 3, thus violating it. However, Case P is applicable because one parent provides a car (saving ₹1,000) and another parent arranges accommodation (saving another ₹1,000). This saves a total of ₹2,000, reducing the minimum cash requirement to ₹3,000 (₹5,000 minus ₹2,000), which they have.

Since all friends have finished their exams, Condition 5 is met, meaning Case Q does not apply and they do not go to Chandigarh.

For Manali, the average age must be more than 21 years according to Condition 1. Since their average age is 20 years, they cannot go to Manali.

For Shimla, Condition 4 specifies they go only if there are exactly 2 boys and 4 girls in the group. Since the group has exactly 2 boys and 4 girls, they satisfy this condition and can go to Shimla.

Explanation

To find the value of the continued fraction, we simplify the expression step by step starting from the bottom-most part.

First, calculate the sum in the lowest denominator: 1 + 4 = 5

Substitute this value back into the fraction: 1 + 2 / (1 + 3/5)

Next, simplify the denominator of the remaining fractional part: 1 + 3/5 = 8/5

Now, substitute this simplified denominator back into the expression: 1 + 2 / (8/5)

Simplify the division by multiplying by the reciprocal: 1 + (2 × 5) / 8 = 1 + 10/8 = 1 + 5/4

Convert the fraction 5/4 to its decimal equivalent: 5/4 = 1.25

Finally, add this decimal to the remaining integer: 1 + 1.25 = 2.25

Explanation

The total percentage increase due to two successive percentage increases of x% and y% is calculated using the successive percentage change formula:

Net percentage increase = x + y + xy/100

In this scenario, the height first increased by 20% (x = 20) and then by 10% (y = 10). Substituting these values into the formula:

Net percentage increase = 20 + 10 + (20 × 10)/100 = 30 + 2 = 32

This calculation shows that the cumulative height increase over the two-year period is 32%.

Explanation

The prime factorization of 1995 is: 1995 = 3 × 5 × 7 × 19

The product of consecutive even positive integers up to 2n can be written as: P = 2 × 4 × 6 × ... × 2n = 2ⁿ × (1 × 2 × 3 × ... × n) = 2ⁿ × n!

For P to be divisible by 1995, it must be divisible by all the prime factors of 1995, which are 3, 5, 7, and 19. Since 2ⁿ contains only powers of 2, the prime factors 3, 5, 7, and 19 must all be present in n!.

The smallest positive integer n for which n! is divisible by the prime 19 is n = 19. Since 19 is larger than 3, 5, and 7, the factorial 19! will naturally include 3, 5, and 7 as prime factors as well.

Therefore, the smallest value of n is 19, which means the largest even integer used in the product is 2n = 2 × 19 = 38. The value 38 lies between 31 and 41.

Explanation

Using the weighted average formula for two groups of sizes m and n with averages 70 and 91 respectively, the combined average is given by:

(70m + 91n) / (m + n) = 80

Multiplying both sides by (m + n): 70m + 91n = 80m + 80n

Rearranging to isolate the ratio: 91n − 80n = 80m − 70m 11n = 10m

Dividing both sides by 11m: ⁿ⁄ₘ = ¹⁰⁄₁₁

Therefore, ⁿ⁄ₘ = ¹⁰⁄₁₁, which corresponds to option A.

Explanation

To find the champion among 625 students, we must eliminate all other students until only 1 remains. This means we need to eliminate exactly 625 - 1 = 624 students.

Since the track has 5 lanes, each race consists of 5 runners. At the end of each race, 1 winner survives and 4 runners are eliminated. Therefore, each race results in the elimination of exactly 4 students.

Using the elimination formula, the number of races required is: Number of races = (Total students to eliminate) ÷ (Students eliminated per race) Number of races = 624 ÷ 4 = 156

Alternatively, this can be calculated in rounds. In the first round, 625 students run in 125 races, leaving 125 winners. In the second round, these 125 winners run in 25 races, leaving 25 winners. In the third round, these 25 run in 5 races, leaving 5 winners. In the final round, the 5 winners run in 1 race to determine the champion. The total number of races is 125 + 25 + 5 + 1 = 156.

Explanation

Using basic subtraction and division of categories, the total number of people is 50, out of which 31 are French. This means the number of Americans is 50 - 31 = 19.

Since there are 14 Graduate Americans, the remaining Americans must be post-graduates. Thus, the number of Post-graduate Americans is 19 - 14 = 5.

The total number of post-graduates in the entire group is 18. Since all post-graduates are either American or French, the number of Post-graduate French is the total post-graduates minus the Post-graduate Americans, which is 18 - 5 = 13.

Explanation

Let the distance between Delhi and Chandigarh be d km.

Train 1 departs Delhi at 6:00 am and arrives at Chandigarh at 1:00 pm — a journey time of 7 hours. Its speed = d/7 km/h.

Train 2 departs Chandigarh at 8:00 am and arrives at Delhi at 1:00 pm — a journey time of 5 hours. Its speed = d/5 km/h.

By 8:00 am (when Train 2 departs), Train 1 has been traveling for 2 hours and has covered 2 × (d/7) = 2d/7 km. The remaining distance between the two trains at this point is: d − 2d/7 = 5d/7 km

Since both trains are now moving toward each other on parallel tracks, their combined closing speed is: d/7 + d/5 = 5d/35 + 7d/35 = 12d/35 km/h

Time needed to close the remaining gap: t = (5d/7) ÷ (12d/35) = (5d/7) × (35/12d) = 175/84 = 25/12 hours

Converting: 25/12 hours = 2 hours + (1/12 × 60) minutes = 2 hours 5 minutes

Adding 2 hours 5 minutes to 8:00 am gives the meeting time as 10:05 am.

Therefore, the two trains meet at 10:05 am, which corresponds to option C.

Explanation

At 3 O'clock, the minute hand is 15 minute spaces behind the hour hand. For the hands to be together, the minute hand must gain 15 minute spaces over the hour hand.

Since the minute hand gains 55 minute spaces over the hour hand in 60 minutes, the time taken to gain 15 minute spaces is calculated as:

t = 15 × 60 / 55 = 15 × 12 / 11 = 180 / 11 = 16 4/11 minutes

Alternatively, using the standard formula for the angle θ between the hands of a clock:

θ = |30H - 11/2 M|

Setting θ = 0 for the hands to be together and H = 3:

0 = |30 × 3 - 11/2 M|

90 = 11/2 M

M = 180 / 11 = 16 4/11 minutes

Therefore, the hands of the clock will be together at 16 4/11 minutes past 3.

Explanation

The area of a circle is directly proportional to the square of its radius, given by the formula A = πr².

If the radius of the circle is increased by 100%, the new radius becomes r + 100% of r, which is 2r.

The new area of the circle is: A' = π(2r)² = 4πr² = 4A

The percentage increase in area is given by the formula: Percentage Increase = ((New Area - Original Area) / Original Area) × 100 Percentage Increase = ((4A - A) / A) × 100 = 3 × 100 = 300%

Alternatively, using the successive percentage change formula for a two-dimensional change (x + y + xy/100) where x = 100 and y = 100: Percentage increase = 100 + 100 + (100 × 100)/100 = 300%

Explanation

Given the equation x² - x - 1 = 0, we can express x² as: x² = x + 1

Multiplying both sides by x to find the expression for x³: x³ = x² + x

Substituting the value of x² from the first equation into this relation: x³ = (x + 1) + x x³ = 2x + 1

Now, substituting this expression for x³ into the given polynomial x³ - 2x + 1: (2x + 1) - 2x + 1 = 2

Explanation

Let c be the number of correct answers and w be the number of incorrect answers. Since the candidate answers all 26 questions, the first equation is:

c + w = 26

Each correct answer awards 8 marks and each wrong answer deducts 5 marks. Since the candidate scores a total of 0 marks, the scoring equation is:

8c - 5w = 0

Using w = 26 - c from the first equation, substitute this value into the scoring equation:

8c - 5(26 - c) = 0 8c - 130 + 5c = 0 13c = 130 c = 10

Explanation

Express a and d in terms of b using the given ratios:

a = (3/4)b

c = (9/8)b

d = (3/2)c = (3/2) × (9/8)b = (27/16)b

Substitute these values into the expression ad/b²:

ad/b² = ((3/4)b × (27/16)b) / b² = (81/64)b² / b² = 81/64

Explanation

The given set of 11 observations is: −18, 7, 0, 5, 80, 6, 5, −13, 0, 5, −70.

Arranging in ascending order: −70, −18, −13, 0, 0, 5, 5, 5, 6, 7, 80

Mean: Sum = −70 − 18 − 13 + 0 + 0 + 5 + 5 + 5 + 6 + 7 + 80 = 7 Mean = 7/11 ≈ 0.636

Median: With 11 observations the median is the 6th value in the sorted list. The sorted list is: −70, −18, −13, 0, 0, [5], 5, 5, 6, 7, 80 Median = 5

Mode: The value 5 appears three times, which is more frequently than any other value. Mode = 5

Comparison: Mean (≈ 0.636) < Median (5) = Mode (5)

This satisfies the relationship mean < median = mode, which corresponds to option B.