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

Explanation

According to the passage, the principles of communism are described as follows: Profit should not be a motive: "give up the lust for profit" (statement b). Individuals should get goods only as much as they need: "Give him the necessities of life as per his needs" (statement c). Means of production should be commonly owned: "land or factories will not be individually owned. All the means of production should belong to one big family" (statement a).

Thus, all three statements are correct according to the passage.

Furthermore, the passage states: "All of this can happen if land or factories will not be individually owned." Here, the phrase "All of this" includes the distribution of goods based on individual needs (statement c). The condition "if land or factories will not be individually owned" represents the common ownership of the means of production (statement a). This establishes that common ownership of the means of production (a) is a necessary condition for individuals to receive goods based on their needs (c).

Explanation

According to Saifubhai in the passage, Communism explicitly demands giving up the lust for profit, which is expressed in the text as: "Communism says, give up the lust for profit." He also explains that for a family-like world production system to work, land or factories must not be individually owned and that all the means of production should belong to one big family, meaning they must be commonly owned. This directly validates statements (a) and (c).

Explanation

The passage states that a new enemy to imperialism was born, which was Communism, and that it awakened imperialism out of its slumber. Since slumber represents a state of sleep, this directly indicates that imperialism was fast asleep when Communism was born.

Explanation

According to Saifubhai's dialogue, it is in the imperialist system where goods pile up, cash flow decreases, and financial depression leads to factories closing down due to the lust for profit. In communism, the motive is to produce for need and collective well-being rather than profit, which prevents such economic crises and shutdowns. Therefore, statement (b) is completely incorrect as it reverses the described characteristics of imperialism and communism.

Explanation

According to the text, Saifubhai explains that the success of a revolutionary movement depends on two components, namely international conditions and the active participation of the ordinary, revolution-prone class. This means international inspiration alone is not the sole requirement, making statement (a) incorrect. Additionally, Saifubhai notes that only those with nothing to lose can participate in a revolution. He reasons that individuals who fear losing their luxurious lifestyles, bungalows, and inherited village rights cannot be revolutionary fighters, which validates statement (b) since the wealthy have material possessions and privileges to lose.

Explanation

According to the passage, while most scientists today accept the basic principle of evolution, they hold differing opinions on how it has occurred in the past and how it will proceed in the future, as phrased by "how would it go". This future course or pathway of evolutionary change represents the direction of evolution.

Explanation

According to the passage, Lamarck is specifically credited in the history of evolutionary thought for recognizing and stating for the first time that evolution is a universal truth covering all forms of life. This directly corresponds to the idea that all creatures are involved in evolution.

Explanation

Statement (a) is incorrect because the passage only states that warm-blooded mammals have a greater capacity to learn from experiences, and this capacity has reached its highest development in the human species. Having a higher capacity to learn does not mean they are currently the most experienced.

Statement (b) is incorrect because the passage notes that evolution assumes all living things are inter-related, which is conceptually different from assuming that all living beings live together.

Explanation

Statement (a) is incorrect because the capacity to learn from experience has reached its highest development in the human species, meaning humans possess a higher capacity to learn from experiences than chimpanzees, gorillas, and orangutans.

Statement (b) is incorrect because Carolus Linnaeus did not propose the theory of evolution. Linnaeus was a taxonomist who believed in the constancy of species and is famous for classifying and grouping humans, apes, and monkeys into the order Primates. The actual theories of evolution mentioned are Lamarckism, Darwinism, and the Synthetic theory, which were proposed and developed by Jean-Baptiste Lamarck, Charles Darwin, and modern scientists respectively.

Explanation

The parsed record had swapped in the wrong stem and options (belonging to the biodiversity passage of Q11-15). The true Q10 (recovered from the source paper) asks which statement is correct: (a) Man acquired his position only after struggling with others; (b) In evolution the nature is supreme. Per the passage, natural selection is 'the corner stone of the modern synthesis', so nature is supreme in evolution -> (b) is correct. Statement (a) overstates with 'only ... struggling with others'. Hence Only (b).

Explanation

The passage explicitly states that no single sector can by itself ensure that biological resources are managed to provide sustainable supplies of products. Instead, cooperation is required between various sectors, ranging from research to tourism. This multi-sectoral cooperation directly supports the need for an integrated approach to maintain biodiversity, making statement (a) correct. Additionally, the passage highlights that the loss of biodiversity is driven by economic factors, such as the low economic values assigned to biodiversity and ecological functions like watershed protection and nutrient cycling. This emphasizes that economic aspects are deeply involved in the conservation of biological resources, making statement (b) incorrect.

Explanation

Statement (a) is correct because the passage explicitly characterizes the equatorial region as species rich, which directly translates to an abundance of life forms in this area. Statement (b) is incorrect because the passage mentions there is no systematic monitoring, which does not mean there is absolutely no monitoring whatsoever taking place, making the statement an overgeneralization not supported by the text.

Explanation

Both statements are accurate and correct based on the text of the passage, meaning neither of them is incorrect.

Statement (a) is true because the passage attributes the loss of biodiversity to economic factors, specifically pointing out the low values given to biodiversity and critical ecological functions upon which human welfare depends. This indicates that our current economic value system for these natural entities is fundamentally flawed and incorrect.

Statement (b) is true because the text describes biological resources as renewable and notes that proper management can support human needs. It further states that these resources and their diverse supporting systems are the essential foundation of sustainable development, which sustains the ecological functions critical to human welfare.

Explanation

Statement (a) is incorrect because the passage views humans not as inherent enemies of nature, but as stakeholders who depend on biological resources for survival and have a shared interest in conserving biodiversity. It highlights that virtually all sectors of human society have a stake in the conservation and sustainable management of these systems through cooperation. Statement (b) is correct as the passage explicitly mentions that biological resources with proper management can support human needs and form the foundation of sustainable development.

Explanation

The passage directly links evolution, genetic variability, and food production through two key statements. Initially, it states that the Earth's genes, species, and ecosystems are the products of over 300 million years of evolution. Later, it specifies that without genetic variability, new varieties cannot be developed, and global food production would have been far less than it is at present. Because genetic variability and genes are products of evolution, it logically follows that without evolution, there would not have been the necessary genetic variability to support the development of new crop varieties, and thus there would not have been so much food production. This makes statement (a) correct.

Explanation

According to the passage, the atoms in a three-level laser possess a metastable state located some energy above the ground state, while there is a still higher excited state that decays to this metastable state. This sequence of energy levels places the metastable state in an intermediate position, directly between the lower ground state and the higher excited state.

Explanation

In a four-level laser, the laser transition ends at an unstable intermediate state rather than the ground state. Because this intermediate state decays rapidly to the ground state, it remains virtually empty. Consequently, even a modest or lesser amount of pumping is sufficient to create a population inversion between the metastable state and this empty intermediate state. This contrasts with a three-level laser, where more than half of the ground state population must be pumped to the metastable state to achieve population inversion.

Explanation

In a four-level laser, the lasing transition occurs between the metastable state and an unstable intermediate state that lies between the metastable state and the ground state. Since this intermediate state decays very rapidly to the ground state, it remains almost entirely unoccupied, allowing a population inversion to be easily achieved and sustained even with low pumping energy.

Explanation

The passage explicitly states that in a three-level laser, more than half the atoms must be in the metastable state for induced emission to predominate. Since more than half corresponds to a percentage greater than 50%, more than 50% of the atoms must be populated in the metastable state to achieve population inversion and sustain laser action.

Explanation

In a three-level laser system, population inversion requires that the number of atoms in the excited metastable state exceeds the number of atoms in the ground state. For this condition to be satisfied and for stimulated emission to predominate over absorption, more than half of the total population of atoms must be raised to the metastable state. Consequently, during population inversion, the metastable state becomes the most populated energy level.

Explanation

The passage discusses how genetic engineering is used to produce essential medical products, including interferon, human growth hormone, and human insulin. It highlights the technological shift from extracting insulin from animal pancreases to manufacturing recombinant human insulin using genetic engineering, which addressed shortages and helped allergic patients. The passage also refers to recombinant DNA techniques in the context of gene therapy. Because the overall focus is on how genetic engineering techniques are applied to create and improve medical treatments, "Genetic Engineering and Medicines" serves as the most accurate and descriptive title.

Explanation

According to the passage, human insulin was available before 1982, though only in very minute quantities. This directly refutes statement (a) which claims it was not available at all until 1982.

Furthermore, the passage describes the insulin supplied from animal pancreas as a by-product of the meat industry. This indicates that insulin was a secondary product of the meat industry, whereas meat was the main or major product, making statement (b) incorrect.

Explanation

Statement (a) is incorrect because the passage notes that the supply of animal-derived insulin was dependent on meat market dynamics, which created concerns about future shortages. Recombinant human insulin solved this problem by eliminating potential shortages, showing that animal-derived insulin could indeed have been in short supply.

Statement (b) is incorrect because recombinant human insulin is significant for multiple reasons. Beyond being suitable for diabetics allergic to animal-derived insulin, it also provided a reliable supply independent of the meat market. The use of the word only incorrectly limits its importance to a single factor.

Explanation

According to the passage, our body is a complex mixture of chemical substances, with 65% of its mass consisting of the chemical compound water. Furthermore, it explicitly states that we are kept alive by chemical reactions taking place in our cells. This demonstrates that life is fundamentally sustained by chemical processes, confirming that there can be no life without chemistry.

Explanation

Statement (a) is incorrect because chemical reactions in the human body do not stop immediately upon death. After somatic death, various biochemical reactions such as autolysis, enzymic decomposition, and putrefaction continue to take place within the cells and tissues as the body decays.

Statement (b) is incorrect because bioterrorism is a method of warfare or a criminal act involving the dissemination of biological agents. It is not a disease or a medical condition, meaning it cannot have a medicine or cure. While science develops vaccines, treatments, and antidotes for specific pathogens used as bioweapons, it cannot cure the act of bioterrorism itself.

Explanation

Neither of the statements is supported by the provided passage. Regarding statement (a), the text mentions that we use chemicals as medicines whether they are natural remedies or pharmaceutical products, but it does not make any comparison or claim that man-made medicines are more useful than natural ones. Regarding statement (b), the passage notes that toxicology is the science that studies toxic materials which pose a threat to mankind, but it does not state that the harmful effects of chemistry are controlled by helpful chemicals. Therefore, both statements are incorrect.

Explanation

According to the passage, toxicology is defined as the science that studies all such materials which become a threat to mankind. In the context of the text, these harmful materials that pose a direct threat to human life specifically refer to toxic chemicals, poisons, and substances developed for chemical warfare and bioterrorism.

Explanation

Following independence, the reorganisation of states in India was primarily carried out on the basis of regional languages to respect linguistic identities and ensure administrative convenience. Widespread mass agitations, starting with the demand for a Telugu-speaking Andhra state, led the government to establish the States Reorganisation Commission in 1953. Under the States Reorganisation Act of 1956, boundaries were redrawn along linguistic lines, leading to the creation of states based on shared regional languages. This approach was further seen in the subsequent creation of Gujarat, Maharashtra, Punjab, and Haryana, helping to accommodate linguistic diversity within India's democratic structure.

Explanation

Statement a is incorrect because the passage states that many observers, rather than all observers, predicted that India would not remain unified.

Statement b is incorrect because the passage explains that the Jammu and Kashmir issue was not only a conflict between India and Pakistan but also associated with the political aspirations of the Kashmir valley, without stating that the latter was a bigger problem than the bilateral conflict.

Explanation

According to the provided passage, a fundamental principle of diversity in the Indian Constitution is that different regions and linguistic groups can protect and conserve their own culture. The Indian approach to nation-building sought to balance unity and diversity by deciding to live a united social life without losing the distinctiveness of the numerous cultures constituting India. Since these regions and linguistic groups are represented as states, the various states in India can protect and conserve their cultures.

Explanation

The passage concludes by stating that the challenges of diversity were met with by redrawing boundaries of the states. Since this specific measure is not listed in the first three choices, the fourth choice is correct.

Explanation

Statement (b) is incorrect because it presents an overgeneralization that is not supported by the passage. The text specifically states that the Indian approach was different from that adopted in some European countries, where they saw cultural diversity as a threat to the nation. This indicates that only certain European nations viewed diversity in this manner, rather than all other countries in general. Statement (a) is entirely correct as the passage explains that India balances unity with diversity by allowing the political expression of regional aspirations, meaning that national integrity is given priority while regional diversities and cultures are actively accommodated and not overlooked.

Explanation

Choosing Rationalism over Ritualism leads to several positive developments that directly correspond to the statements in the passage.

The passage highlights that scientific and technological resources are currently being misused to spread superstitions and ritualistic practices. A shift toward rationalism ensures that these scientific tools are used in an effective and progressive manner rather than for promoting unscientific beliefs, which supports statement (a).

The author also notes that despite material progress, mental development has lagged because people have not yet embraced rationalism in their personal lives. Adopting rationalism directly addresses this gap and facilitates psychological and mental growth, supporting statement (b).

Furthermore, rational thinking allows individuals to logically analyze and understand situations, such as comprehending scientific explanations for illnesses and weather patterns instead of resorting to ritualistic myths, which supports statement (c).

Finally, the passage explicitly warns that superstitions bring misery and disaster. By adopting rationalism, individuals avoid these self-created distresses and make their lives free of such avoidable troubles, supporting statement (d).

Explanation

The passage highlights that superstitions are deeply embedded in the lives of ordinary individuals, noting that they take root and grow under specific conditions. Consequently, eradicating them is described as a highly challenging task that demands consistent effort, determination, and perseverance to gently persuade and guide people away from these beliefs. This underscores that the fundamental difficulty of eradication lies in the fact that the roots of superstition have gone deep into the life of the common man.

Explanation

According to the passage, science provides rational and clear explanations for all kinds of happenings, from common illnesses to untimely rains. When people ignore these scientific explanations and continue to persist with unscientific, superstitious answers to their problems, they fail to resolve the root causes. This dependency on superstitions despite the availability of scientific reasoning leads directly to misery and disastrous consequences in their personal and social lives.

Explanation

The passage highlights that although we have made great material progress and live in the age of science, our mental development has not kept pace because we continue to rely on unscientific answers. To correct this lag in mental development, we must get rid of, eradicate, or bury superstitions. The passage explains that superstitions bring only misery and disaster, and we must make consistent efforts to eradicate them using rational principles and practical thinking.

Explanation

The passage highlights that although we live in the scientific and IT age and have progressed materially, our mental development has not kept pace with this progress. It mentions that in our personal lives we have not yet become rational, and we continue to persist with unscientific answers to problems despite science providing rational explanations. This directly shows that society still resorts to unscientific methods because man's mental state is not yet ready to fully adopt rational and scientific thinking.

Explanation

Statement (a) is correct because the passage explicitly mentions that currently, humans identify themselves on the basis of some religion, caste, sect, or organization (सध्या माणसे आपली स्वत:ची ओळख कोणत्या ना कोणत्या धर्म, जाती, पंथ, संघटना इत्यादींच्या आधाराने करून देताहेत, ही वस्तुस्थिती आहे). This directly confirms that even now, man considers himself to be a part of some external element or factor.

Statement (b) is incorrect because the passage emphasizes that humans are generally prone to being controlled by their vices (सामान्यत: माणूस विकारवश आहे). It further explains that controlling these passions requires conscious effort and does not happen automatically, nor has it ever happened easily in human history (अर्थात हे आपोआप घडणार नाही, पूर्वीही कधी घडले नाही). Thus, controlling vices is not easy.

Explanation

The passage states that the existence of human culture does not depend on living on or with vices, but rather on keeping control over those vices: "पण मानसांनी हे विसरून चालणार नाही की, मानवी संस्कृतीचे अस्तित्व त्याच्या विकारावर जगण्यावर अवलंबून नाही तर त्या विकारांवर नियंत्रण ठेवण्यावर अवलंबून आहे." This directly matches statement (c) "Keeping control over one's own vices" (आपल्या विकारांवर नियंत्रण ठेवण्यावर).

Explanation

According to the passage, virtues like truth, benevolence, non-attachment, and forgiveness are largely lacking in humans, as denoted by the phrase "या गुणांना माणसांत अभावच जास्तीचा आढळतो", and humans frequently fall prey to their impulses and vices. This indicates that humans possess more vices than virtues in practice. Therefore, statement (a), which asserts that humans do not have more vices than virtues, directly contradicts the text and is incorrect.

Explanation

Statement (a) is incorrect because the passage distinguishes humans from other animals based on cognitive ability, brain function, and the capacity for rational thought, rather than the absence of basic instincts or vices in animals. Vices like anger, desire, and greed are intrinsic biological and behavioral traits, and the passage does not claim that animals are completely devoid of them. Thus, statement (a) is contextually and factually incorrect.

Explanation

उताऱ्यामध्ये स्पष्ट केले आहे की निसर्गाने माणसाला विचार करण्याची स्वतंत्र क्षमता दिली असली, तरी माणसे स्वतः विचार न करता इतरांच्या म्हणण्यावर विश्वास ठेवतात आणि आपल्या विचार करण्याच्या क्षमतेचा वापर करत नाहीत. त्यामुळे माणूस सर्वसाधारणपणे विचार करून वागतो हे विधान (a) चुकीचे आहे.

तसेच, काम, क्रोध, मोह, लोभ, मद आणि मत्सर हे सर्व विकार माणसांत जन्मापासून असतात आणि सर्वच माणसे या विकारांसह जगतात, असे उताऱ्यात म्हटले आहे. त्यामुळे क्वचित माणूस विकारांसह जगतो हे विधान (b) देखील चुकीचे ठरते.

यावरून दोन्ही विधाने अयोग्य आहेत.

Explanation

According to the passage, the philosopher Descartes thought that both men and animals were machines, which directly supports statement a. The text also states that Descartes believed the human machine was partly controlled by the soul, while animals had no souls, which directly supports statement c. Thus, statements a and c correctly represent the views of Descartes as described in the text.

Explanation

A wave is considered a doubtful noun because, unlike concrete objects like bricks or coal-gas that maintain a fixed physical identity, a wave does not consist of a constant set of material components. While we refer to it as the same wave over time, the actual particles of water that compose it are constantly changing as the wave moves. This lack of a permanent physical substance makes its classification as a distinct, independent thing doubtful.

Explanation

According to the passage, life is not considered a kind of matter because the physical transition of death does not alter the body's mass or energy in a way that suggests a material substance has left. The author explicitly states that upon death, a living being does not lose weight, does not gain weight, and does not experience any measurable loss of energy. This aligns with all three statements, indicating that death does not lead to a loss in weight, a gain in weight, or a measurable loss of energy.

Explanation

The author explicitly states two facts with complete certainty in the text. First, the author writes that we know that breath consists of gas, confirming statement (d). Second, the author asserts that life is certainly not a kind of matter, confirming statement (c).

The assertions in statements (a) and (b) are framed by the author as open questions to ponder rather than definitive conclusions, indicating that the author is not sure about them. Thus, only statements (c) and (d) represent what the writer is sure about.

Explanation

The passage explores the diverse ways life has been conceptualized, defined, and understood by different groups throughout history. It begins by discussing the linguistic challenges of defining life and then goes on to detail several historical, philosophical, and scientific perspectives. For example, early humans equated life with breath, later ancestors defined it as the capacity for self-movement, the philosopher Descartes viewed humans as machines controlled by a soul, and some scientists see life as a highly complex physical mechanism. By presenting these contrasting viewpoints, the passage illustrates that there is no single agreed-upon definition of life and that different people hold diverse opinions about what constitutes it. This directly aligns with statement (c) being the central theme.

Explanation

According to the passage, while modern psychology and motivational experts focus on setting clear-cut goals and achieving them quickly, this approach often leads to disillusionment. In contrast, the author states that "the real psychology lies in discovering and realising who you are." A hardcore psychologist, representing this true essence of psychology, urges individuals to turn inward, ask the fundamental question of "who am I?", and look beyond social conditionings. Therefore, they want you to focus on self-discovery and to understand yourself.

Explanation

The author mentions that once a person reaches a point where they have surety that they can execute their worldly duties, it is time to turn inward. This indicates that initially, an individual must successfully perform and find stability in their ordinary worldly duties before they can transition to seeking self-realization and asking inward questions.

Explanation

The passage critiques the prevailing practice in modern psychology and society of continuously setting and chasing clear-cut, external milestones. The author illustrates this through the experience of a client who spent his life chalking out consecutive goals (such as high marks, a well-paid job, promotions, marriage, and luxury possessions) only to feel empty and disillusioned after each achievement. The text argues that this constant pursuit of socially accepted targets suppresses the vital, inward-looking question of self-discovery, "who am I?". Because the central theme of the passage revolves around the cycle and consequences of setting these external objectives, "Chalking out our goals" serves as the most appropriate title.

Explanation

The group T @ W consists of the letter T, the symbol @, and the letter W. Unlike the other groups derived from the series which consistently follow a specific Number-Symbol-Letter pattern, this group begins with a letter instead of a number. This makes the group T @ W the odd one out.

Explanation

First, decode the symbols based on the given definitions: P © Q (P is not less than Q) means P ≥ Q. P * Q (P is not greater than Q or not equal to Q, meaning neither greater than nor equal to) means P < Q. P Q (P is not greater than Q) means P ≤ Q. P % Q (P is not greater than Q and not less than Q) means P = Q. P @ Q (P is not less than Q or not equal to Q, meaning neither less than nor equal to) means P > Q.

Using these translations, the given statements are converted as follows: F % I becomes F = I I @ B becomes I > B B © M becomes B ≥ M M K becomes M ≤ K

Combining these relations yields the single inequality chain: F = I > B ≥ M ≤ K

Now, evaluate the given inferences: Inference (III) is M * F, which translates to M < F. From the chain, since F = I > B ≥ M, we have F > M, which is equivalent to M < F. Thus, inference (III) is correct. Inference (IV) is B * F, which translates to B < F. From the chain, F = I > B, so F > B, which is equivalent to B < F. Thus, inference (IV) is correct.

Among the given options, Option 3 is the only one that includes both of the definitely correct inferences (III) and (IV).

Explanation

To find the missing group, we first determine the positions of all letters in the given set:

M(1) T(2) P(3) A(4) H(5) B(6) N(7) W(8) L(9) F(10) C(11) R(12) O(13) K(14) E(15) U(16) Z(17) S(18) V(19) Q(20)

Now, we track the position patterns for each letter in the groups:

For the first letter of each group: P(3) → W(8) → ? → S(18) The positions increase by 5 each time: 3 + 5 = 8 8 + 5 = 13 (O) 13 + 5 = 18

For the second letter of each group: Z(17) → O(13) → ? → W(8) The positions decrease progressively by 4, 3, and 2: 17 - 4 = 13 13 - 3 = 10 (F) 10 - 2 = 8

For the third letter of each group: H(5) → B(6) → ? → C(11) The positions increase progressively by 1, 2, and 3: 5 + 1 = 6 6 + 2 = 8 (W) 8 + 3 = 11

Combining these letters gives the group OFW.

Explanation

To determine the validity of the inferences, the coded symbols must first be translated into their mathematical meanings:

'A © B' (where © represents the first symbol) means A is not less than B or greater than B, which translates to A = B. 'A = B' means A is not less than B or not equal to B, which translates to A > B. 'A ⊗ B' (where ⊗ represents the third symbol) means A is not greater than B, which translates to A ≤ B. 'A ≠ B' means A is equal to B or A is greater than B, which translates to A ≥ B. 'A Δ B' means A is less than B, which translates to A < B.

Translating the statements using these meanings yields: P = T T ≤ Y Y ≥ B B > D

Combining these into a single relation gives: P = T ≤ Y ≥ B > D

Now, evaluating the given inferences using their coded meanings:

Inference (I): T = B In coded form, the '=' symbol means '>'. Thus, this inference states T > B. Since we only know T ≤ Y and Y ≥ B, the relationship between T and B cannot be definitely established. It could be T > B, T < B, or T = B. Therefore, Inference (I) is not correct.

Inference (II): Y © D In coded form, the '©' symbol means '='. Thus, this inference states Y = D. From the established relation, we have Y ≥ B and B > D, which strictly implies Y > D. Since Y must be strictly greater than D, Y cannot be equal to D. Therefore, Inference (II) is also not correct.

Explanation

The given series is: DFG; FHI₂; HJ₂K₂; ______; ______; N₂P₃Q₃.

First, let us analyze the alphabetical progression of the letters in each position of the three-letter groups: First letters: D (+2) → F (+2) → H (+2) → J (+2) → L (+2) → N Second letters: F (+2) → H (+2) → J (+2) → L (+2) → N (+2) → P Third letters: G (+2) → I (+2) → K (+2) → M (+2) → O (+2) → Q

Thus, the letter combinations for the two missing terms are JLM and LNO respectively.

Next, let us analyze the subscripts. Each letter in the alphabetical sequence is assigned a constant subscript value (where no subscript indicates 1): D, F, G, and H have subscript 1. I, J, K, L, M, and N have subscript 2. O, P, and Q have subscript 3.

Applying this constant subscript pattern to the terms of the series: First term: D₁F₁G₁ (written as DFG) Second term: F₁H₁I₂ (written as FHI₂) Third term: H₁J₂K₂ (written as HJ₂K₂) Fourth term (first blank): J₂L₂M₂ Fifth term (second blank): L₂N₂O₃ Sixth term: N₂P₃Q₃

This confirms that the first blank is J₂L₂M₂ and the second blank is L₂N₂O₃.

Explanation

Based on the given clues, we can determine the birthdays and instruments of each boy step by step:

First, determine the birthdays of Aman and Baban: Raman is born on Thursday, which is the second day after Aman's birthday. This means Aman is born on Tuesday. Baban is born one day before Aman, which means Baban is born on Monday. Daman is born on Saturday.

Next, determine the instruments: Each of the three instruments (violin, guitar, banjo) must be played by exactly two boys. Raman plays Guitar. Daman cannot play Banjo or Guitar, so Daman plays Violin. Baban plays Banjo. Aman cannot play Guitar. Chaman cannot play Raman's instrument (Guitar), so Chaman cannot play Guitar. Since Aman, Baban, Daman, and Chaman cannot play Guitar, the only two boys who play Guitar must be Raman and Saman.

Finally, determine Saman's birthday: The remaining unassigned weekdays are Wednesday and Friday, which must belong to Chaman and Saman. The boy born on Friday plays Violin. Since Saman plays Guitar, Saman cannot be born on Friday. Therefore, Chaman is born on Friday, and Saman is born on Wednesday.

Thus, Saman, the other person who plays Guitar, is born on Wednesday.

Explanation

The organization has eight employees divided among three divisions (Engineering, Systems, Marketing). Since each division must have at least two and at most three employees, the distribution of employees across the three divisions must be 3, 3, and 2.

We are given that G works in the Engineering division at Delhi and only one other person of G's division works at Kolkata. This means the Engineering division has exactly two employees (G and the employee at Kolkata). Consequently, the remaining two divisions, Systems and Marketing, must have exactly three employees each.

We know that H works at Ranchi, but not in the Systems division. Since the only other Engineering employee works at Kolkata, H cannot be in the Engineering division either. Therefore, H must belong to the Marketing division.

We are also given that B and T both work in the Marketing division. Since the Marketing division is limited to exactly three employees, the complete group of persons working in the Marketing division consists of B, H, and T. This corresponds to group (d).

Explanation

To find the logic behind the coding, the eight-letter word COMPUTER is divided into three parts of 3, 2, and 3 letters respectively:

First part (Letters 1 to 3): C O M Reverse the order of the letters to get M O C, then subtract 1 from each letter: M - 1 = L O - 1 = N C - 1 = B This gives the first part of the code: L N B

Second part (Letters 4 and 5): P U Reverse the order of the letters to get U P, then add 1 to each letter: U + 1 = V P + 1 = Q This gives the middle part of the code: V Q

Third part (Letters 6 to 8): T E R Reverse the order of the letters to get R E T, then add 1 to each letter: R + 1 = S E + 1 = F T + 1 = U This gives the last part of the code: S F U

Combining all three parts gives the coded word LNBVQSFU.

Applying the exact same coding pattern to BULKHEAD:

First part (Letters 1 to 3): B U L Reverse to L U B, then subtract 1 from each letter: L - 1 = K U - 1 = T B - 1 = A This gives: K T A

Second part (Letters 4 and 5): K H Reverse to H K, then add 1 to each letter: H + 1 = I K + 1 = L This gives: I L

Third part (Letters 6 to 8): E A D Reverse to D A E, then add 1 to each letter: D + 1 = E A + 1 = B E + 1 = F This gives: E B F

Combining these parts results in the coded word KTAILEBF.

Explanation

In the expression P × Q ÷ R - T + S, the relationships can be broken down step-by-step from left to right:

P × Q indicates that P is the husband of Q. This means P is male and Q is female.

Q ÷ R indicates that Q is the mother of R.

R - T indicates that R is the sister of T. Since R is the sister of T and the daughter of Q, T is also a child of Q.

T + S indicates that T is the brother of S. This establishes that T is male.

Since Q is the mother of R, T, and S, and P is the husband of Q, P is the father of these children. Because T is male, T is the son of P.

Explanation

When an organization issues a recruitment advertisement in a national daily, it operates under certain logical expectations. First, the advertiser assumes that the target audience, which in this case is qualified Chartered Accountants, will read and respond to the advertisement. Second, because the advertisement is for a substantial number of vacancies, specifically 100 posts, the bank assumes that there is an adequate number of qualified and willing candidates available to fill these positions. If either of these conditions were assumed to be false, the advertisement would not have been published. Therefore, both presumptions are logically implicit in the statement.

Explanation

A cube has six faces, where each face has exactly one opposite face and four adjacent faces.

We are given that the Red face is opposite to the Green face. This means that Red and Green cannot be opposite to any other face, so they must both be adjacent to the Yellow face.

The problem also states that the Yellow face is adjacent to both the Orange face and the White face.

Since Yellow has exactly four adjacent faces, and we have identified Red, Green, Orange, and White as being adjacent to it, these four must be the adjacent colours. This leaves Blue as the face opposite to Yellow.

Explanation

The machine splits the six numbers into the three smallest and the three largest, then rebuilds the row by alternating the two groups in ascending order, fixing one position at every step. In the worked example 3, 5 and 7 form the lower group and 28, 30 and 38 the upper group. Step I fixes 3 in the first position, Step II fixes 28 in the second, Step III fixes 5 in the third, Step IV fixes 30 in the fourth and Step V fixes 7 in the fifth, leaving 38 last and producing the final arrangement 3, 28, 5, 30, 7, 38.

Explanation

Inference (ii) is logically derived because some hospitals are gyms, meaning there is an intersection between the set of hospitals and the set of gyms. Since no hospital is a stadium, the gyms that are hospitals cannot be stadiums. This guarantees that some gyms are not stadiums.

Inference (iv) is logically derived because some fields are stadiums, meaning there is an intersection between the set of fields and the set of stadiums. Since no hospital is a stadium, the fields that are stadiums cannot be hospitals. This guarantees that some fields are not hospitals.

Explanation

By combining the given conditions, the seven individuals are mapped to their respective cities and professions.

A is the Pharmacist at Bhuvaneshwar, E is the Lawyer at Ahmedabad, F is at Chennai, D is at Banglore, and C is at Mumbai. The remaining two individuals, B and G, must be placed in the remaining two cities, Hyderabad and Jaipur. Since G is a Counsellor and the person at Hyderabad is a Professor, G must be at Jaipur and B is the Professor at Hyderabad.

To determine the professions for the remaining three people, D, F, and C, we use the negative clues. D is at Banglore and is neither a Doctor nor an Artist, which means D is the Engineer. F is at Chennai and is not an Artist, which means F is the Doctor. This leaves C, who is at Mumbai, as the Artist. Therefore, the combination of Artist at Mumbai is correct.

Explanation

Profit distribution ratio is determined by the formula: Profit Share = Investment × Time Duration.

The total duration of the business is 3 years, which is equivalent to 36 months.

Aman invested ₹70,000 for the entire 36 months. Rakhi joined after 6 months, investing ₹1,05,000 for 30 months. Sagar joined 6 months after Rakhi (12 months from the start), investing ₹1,40,000 for 24 months.

The ratio of their profit distribution is: (70,000 × 36) : (1,05,000 × 30) : (1,40,000 × 24)

Simplifying by dividing each part of the ratio by 35,000: (2 × 36) : (3 × 30) : (4 × 24) = 72 : 90 : 96

Further simplifying by dividing each term by 6: 12 : 15 : 16

Explanation

The terms of the series follow the mathematical formula n³ + 2, where n represents the position of the term in the sequence.

Calculating the values for each position: For n = 1: 1³ + 2 = 3 For n = 2: 2³ + 2 = 10 For n = 3: 3³ + 2 = 29 For n = 4: 4³ + 2 = 66 For n = 5: 5³ + 2 = 127 For n = 6: 6³ + 2 = 218 For n = 7: 7³ + 2 = 345

The fourth term in the given series is 60, whereas it should be 66 according to the established pattern.

Explanation

Distance = Speed × Time

Let the total distance to cross each other be d. When traveling in opposite directions, the relative speed is u + v. Since the time taken is t, we have: d = (u + v) × t

When traveling in the same direction, the relative speed is u - v (assuming u > v). Since the time taken is 4t, we have: d = (u - v) × 4t

Equating the two expressions for the distance d: (u + v) × t = (u - v) × 4t u + v = 4(u - v) u + v = 4u - 4v 5v = 3u

Substituting u = 50 km/hour: 5v = 3 × 50 5v = 150 v = 30 km/hour

Explanation

Forming a pressure group represents an active, organized, and democratic method of community problem-solving. Since public gardens and jogging tracks are collective local assets, a public nuisance in these areas affects the safety and well-being of all families in the neighborhood. Mobilizing a cohesive group of local residents, parents, and morning walkers transitions the issue from an individual grievance to a united public demand. An organized pressure group holds the necessary civic legitimacy and collective strength to systematically lobby municipal authorities, engage with local administrators, and compel law enforcement to institute long-term, structural security measures. This approach ensures a safe, cooperative, and sustainable resolution to reclaim public spaces for the community.

Explanation

The primary objective of the government is to achieve equitable and inclusive growth. Recommending Site II directly serves this purpose because the beneficiary population predominantly consists of tribal, small, and marginal farmers who are economically disadvantaged. Providing them with irrigation facilities will uplift their socioeconomic status, reduce regional inequality, and ensure that development benefits reach the most vulnerable and marginalized sections of society. This aligns perfectly with the core principles of inclusive development and social welfare.

Explanation

Initiating a campaign to delete the names of bogus BPL families directly complies with the state government's directive to remove undeserving beneficiaries. By systematically purging these invalid entries, the Collector creates administrative and fiscal space within the designated quota. Recommending the government to allow the inclusion of an equivalent number of genuine BPL families provides a practical, balanced, and persuasive solution to address the exclusion error without increasing the government's overall financial burden. This approach demonstrates proactive leadership, administrative responsibility, and a commitment to ensuring that welfare benefits reach the truly marginalized within the bounds of official procedures.

Explanation

Option 3 provides a proactive, constructive, and balanced approach to handling potential public agitation while safeguarding community assets.

By seeking proper permission and collaborating with educational institutes, this action ensures a structured and legally sound framework. Involving learners in projects centered around the laborers' problems fosters deep-rooted social empathy and awareness.

Crucially, this approach channelizes youth energy into peaceful, organized activities that support the legitimate demands of the agitators. By providing a constructive avenue to address grievances, it mitigates the frustration and anger that typically lead to the destruction of public property and environmental assets. It addresses the root cause of the unrest while actively preserving public and private property through community engagement.

Explanation

The sweeper's response showcases a deep sense of purpose, ownership, and alignment with the larger national goal. Instead of defining his job by the manual task of cleaning, he views his role as an integral part of the collective effort required to achieve the monumental feat of putting a human on the moon. This mindset reflects immense pride in contributing to an epoch-making milestone for his country, demonstrating how individual contribution, regardless of one's organizational status, is vital to the success of a complex, shared mission. From the President's perspective, this reply highlights the sweeper's high morale, patriotism, and dedication.