MPSC Prelims 2018 CSAT (Paper II) with Answers & Explanations

Explanation

According to the provided passage, the first Green Revolution failed to address the development of several ecological and geographical zones. The text explicitly states that the first Green Revolution did not take care of certain areas like rainfed, hilly, coastal, dry land, and arid zones, which could have been properly developed for the production of exportable items. Among the choices listed, rainfed areas (a), coastal areas (b), and arid areas (d) are specifically mentioned as neglected regions in the text.

Explanation

According to the text, the excessive and inappropriate use of chemical inputs like fertilizers and pesticides during the first Green Revolution resulted in severe ecological and health hazards. Specifically, these practices caused the pollution of waterways, the poisoning of agricultural workers, and the destruction of beneficial insects and wildlife. Air pollution is not cited as a consequence in the passage.

Explanation

The first Green Revolution focused heavily on intensive agricultural practices that had several long-term adverse impacts on the ecosystem and crop diversity.

Statement a is correct because the primary focus of the agricultural policies and technology during the Green Revolution was directed toward increasing the yields of staple cereal crops, specifically rice and wheat, to address immediate food shortages.

Statement b is correct because this disproportionate focus on wheat and rice diverted resources, land, and research away from other crops, resulting in a loss of productivity for pulses, fruits, and vegetables.

Statement d is correct because monoculture, or growing the same cereal crops year after year on the same land, depleted specific soil nutrients and disrupted the natural soil cycle, leading to a gradual decrease in soil fertility over time.

Explanation

The environmental impacts of the Green Revolution mentioned in the passage directly correspond to all four statements. Faulty irrigation practices led directly to a build-up of salt in the soil, which in turn caused the eventual abandonment of some of the most productive farming lands. In addition, pumping groundwater for crop irrigation at a rate faster than it could be replenished by rainfall caused groundwater levels to retreat significantly. Therefore, all of the described impacts on the environment are correct.

Explanation

The cultivation of the same type of cereals like rice and wheat year after year gradually decreased soil fertility. This decline in soil health subsequently made it difficult for pulses and other vegetables to grow. Additionally, the practice of monoculture, which involves growing the same crop variety over an extended period, caused a breakdown in the resistance of plants to pests and diseases.

Explanation

The passage explicitly states that geography, national borders, and time zones are becoming irrelevant with the new communication revolution. This directly attributes the breakdown of geographical boundaries and temporal barriers to the rapid advancements and developments associated with this revolution.

Explanation

The second paragraph of the passage highlights the relationship between international trade and economic development. It explicitly states that the larger the volume of trade, the greater is the potential for development. Thus, the capacity and potential for development depend on the volume of trade.

Explanation

According to the passage, trade is as old as human society itself because no individual, and even more so, no society, can ever be completely self-sufficient. This inherent lack of self-sufficiency drives people and societies to engage in trade to obtain the goods and services they cannot produce on their own.

Explanation

According to the third paragraph of the passage, the advancement of computer technology, described as a stroke of a computer keyboard, has enabled people to conduct global trade transactions far beyond traditional systems. This technological revolution allows individuals to seamlessly engage in transactions involving financial assets, including national and international currency dealing, from one corner of the world to another.

Explanation

The entire passage revolves around the pivotal role of international and foreign trade in driving economic development. While it begins by acknowledging the impact of communication technology on facilitating global commerce, the core discussion transitions to how foreign trade brings static and dynamic gains, serves as an engine of economic growth, and converts underdeveloped countries into developed ones. It specifically highlights how exports, as a vital variable of foreign trade, activate resources, expand markets, and accelerate economic transformation. Therefore, the title that best captures the central theme and comprehensive scope of the text is Foreign Trade and Economic Development.

Explanation

According to the Cartesian sign convention, the focal length f of a concave mirror is negative and is half of its radius of curvature R. With R = -24 cm: f = -24 / 2 = -12 cm

The mirror formula relates focal length f, object distance u, and image distance v: 1/f = 1/v + 1/u

Given that the object is placed in front of the mirror, the object distance u = -20 cm. Substituting these values: 1/(-12) = 1/v + 1/(-20) 1/v = -1/12 + 1/20 1/v = (-5 + 3) / 60 1/v = -2 / 60 v = -30 cm

Thus, the screen should be placed at a distance of -30 cm from the mirror.

The magnification m of the mirror is given by the relation: m = -v / u = h_i / h_o

Substituting the values of u, v, and the object size h_o = +3 cm: -(-30) / (-20) = h_i / 3 -1.5 = h_i / 3 h_i = -4.5 cm

The image size is -4.5 cm, representing a real and inverted image.

Explanation

To find the focal power of the reading spectacles, the lens must create an image of an object placed at the normal near point of distinct vision, which is u = -25 cm or -0.25 m, at the person's actual near point, which is v = -50 cm or -0.5 m.

Using the lens formula: 1/f = 1/v - 1/u

Substituting the given values into the formula: 1/f = 1/(-0.5) - 1/(-0.25) 1/f = -2 + 4 1/f = +2 m⁻¹

Since the power of a lens is the reciprocal of its focal length in metres (P = 1/f), the required power is: P = +2 Dioptre

Explanation

Headlights, projection lamps, and floodlights utilize mirrors, specifically concave mirrors, to reflect and focus light from a source, creating strong, parallel, or concentrated beams of light.

Telescopes, compound microscopes, and simple microscopes utilize lenses to refract light and magnify distant or minute objects to form clear images. Simple microscopes employ a single convex lens, while compound microscopes and refracting telescopes utilize a combination of objective and eyepiece lenses to achieve high magnification.

Explanation

Hypermetropia, or farsightedness, is a vision defect where near objects appear blurry because light rays focus behind the retina instead of on it. This is corrected using a converging or convex lens to bring the focus forward onto the retina. Since the person's right eye is hypermetropic, the right lens must be convex.

Myopia, or nearsightedness, is a vision defect where distant objects appear blurry because light rays focus in front of the retina. This is corrected using a diverging or concave lens to push the focus back onto the retina. Since the person's left eye is myopic, the left lens must be concave.

Thus, the spectacles require a convex lens for the right eye and a concave lens for the left eye.

Explanation

In standard optical physics, viewing a card sheet with squares of size 1 mm × 1 mm through a magnifying glass (convex lens) of focal length f = 10 cm at a distance of u = -9 cm is analyzed using the thin lens formula:

1/v - 1/u = 1/f

Substituting u = -9 cm and f = 10 cm:

1/v - 1/(-9) = 1/10 1/v + 1/9 = 1/10 1/v = 1/10 - 1/9 = -1/90 v = -90 cm

The linear magnification (m) produced by the lens is:

m = v / u = -90 / -9 = 10

Since the linear dimensions of the square are magnified by a factor of 10, each side of the square of original dimension 1 mm becomes:

1 mm × 10 = 10 mm

Thus, the squares on the card sheet will be observed to have a size of 10 mm × 10 mm.

Explanation

Stamens constitute the androecium, representing the male reproductive whorl of the flower. They are responsible for producing pollen grains in the anther lobes. Because the successful generation and transfer of pollen grains to the stigma is the essential first step for pollination, fertilization, and subsequent seed and fruit setting, stamens play a direct and indispensable role in the process of sexual reproduction.

Explanation

As described in the passage, the stigma is the receptive surface of the female reproductive organ (gynoecium) where pollen grains land during pollination. It provides the essential natural conditions, hydration, and nutrients required for the in-vivo germination of mature pollen grains and the subsequent development of the pollen tube.

Explanation

According to the provided passage, bees serve as biotic agencies involved in the transfer of pollen grains to the stigma. When honey-bees visit different flowers, pollen grains from the anthers of one flower adhere to their bodies and are subsequently transferred to the receptive stigma of another flower. This physical transfer of pollen grains from the male reproductive organ to the female reproductive organ is defined as pollination.

Explanation

The process of sexual reproduction in flowering plants is considered successful only when it culminates in the formation of seeds within the fruit. Seeds and fruits are the ultimate products of successful fertilization, representing the next generation of the plant. This outcome ensures the continuation, dispersal, and propagation of the species, which is the primary biological goal of the entire reproductive cycle.

Explanation

According to the passage, plants and their pollinators co-evolved during the course of evolution. Co-evolution is a process where two or more species reciprocally affect each other's evolution, meaning that plants and their pollinators evolved simultaneously, with each group adapting to changes in the other over time.

Explanation

Normally, rainwater is slightly acidic with a pH of 5.6. This baseline acidity occurs because carbon dioxide in the atmosphere dissolves in rainwater to form carbonic acid, a weak acid that dissociates to release hydrogen ions. When the atmosphere contains elevated levels of sulfur dioxide and nitrogen oxides from fossil fuel combustion and industrial emissions, these gases react with water, oxygen, and other chemicals to form sulfuric acid and nitric acid. This reaction significantly increases the hydrogen ion concentration, causing the pH of the precipitation to fall below 5.6, which is defined as acid rain.

Explanation

When carbon dioxide gas present in the atmosphere dissolves in liquid rainwater, it undergoes a chemical reaction to form carbonic acid. This reversible chemical reaction is represented as:

H₂O(l) + CO₂(g) ⇌ H₂CO₃(aq)

Carbonic acid (H₂CO₃) is a weak acid that subsequently dissociates into hydrogen ions and hydrogen carbonate ions, which lowers the pH of natural rainwater to around 5.6.

Explanation

According to the passage, the burning of fossil fuels such as coal and oil in power stations and furnaces, or petrol and diesel in motor engines, produces sulfur dioxide (SO₂) and nitrogen dioxide (NO₂) after oxidation. These oxides are released into the atmosphere and react with water to form acidic components, which are major contributors to the formation of acid rain.

Explanation

The passage states that acid rain is harmful to agriculture, trees, and plants because it dissolves and washes away essential nutrients needed for their growth. This depletion of vital nutrients from the soil impairs plant development and leaves them vulnerable to disease and environmental stress.

Explanation

According to the provided passage, the Taj Mahal in India has been affected by acid rain. Acid rain is defined as rainwater with a pH below 5.6, caused by the reaction of water with sulfur dioxide and nitrogen dioxide emitted from human activities like burning fossil fuels. The resulting acidic precipitation reacts chemically with the calcium carbonate of the white marble of the Taj Mahal, leading to the corrosion, pitting, and yellowing of the monument's stone structure.

Explanation

The excerpt is from the preface of Wings of Fire: An Autobiography, which chronicles the life of the former President of India and pioneering scientist Dr. APJ Abdul Kalam. In the text, the narrator describes how his colleague Arun Tiwari transcribed his reminiscences to write the biography. The author explicitly identifies himself in the final sentence of the passage, attributing his achievements in rocketry and missile technology to the will of God working through a small person called APJ Abdul Kalam.

Explanation

The passage is written from the first-person perspective of APJ Abdul Kalam, as indicated by the use of first-person pronouns such as me, my, and I, along with the explicit mention of his name at the end of the text. Kalam describes how the writer transcribed his personal reminiscences, meticulously selected poetry from his library, and compiled these fragments into a fluent narrative of his life and career. Because the book is an account of Kalam's own life narrated by himself and compiled with assistance, it constitutes an autobiography.

Explanation

The text explicitly establishes Kalam as a theist, a scientist, and a voracious reader. He demonstrates his theism through his firm belief in God, attributing his recovery prayers and life achievements to the Lord's grace and will, and viewing rockets and missiles as God's work. His role as a scientist is highlighted by his laboratory, his projects, and his contributions to the Akash missile and India's scientific and technological advancements. Lastly, his identity as a voracious reader is shown by his possession of a personal library and his habit of meticulously reading and marking pieces of poetry. This makes the description comprehensive and fully aligned with the passage.

Explanation

The passage explicitly states that Arun Tiwari did an excellent job in helping to realize the Akash missile airframe from scratch within the short space of three years. Therefore, the Akash missile airframe was created in a period of three years.

Explanation

The passage mentions that Arun Tiwari was admitted to the Intensive Coronary Care Unit of the Nizam's Institute of Medical Sciences in Hyderabad. The word coronary relates specifically to the heart and the blood vessels that supply the heart muscle. Therefore, being treated in a coronary care unit indicates that he was suffering from a heart-related disease.

Explanation

According to the provided passage, the New Deal introduced the Social Security Act with the specific purpose of protecting people against many of the common forms of distress. This protective framework was designed as a long-term security system offering critical safety nets such as unemployment insurance for workers, pensions for the elderly, aid to dependent children, and direct benefits for those in need.

Explanation

According to the first paragraph of the passage, the Agricultural Adjustment Act provided for the curtailment of farm output specifically to get rid of the surplus that was depressing prices. This makes it clear that the surplus of farm output was assumed to be the cause of the decline in prices.

Explanation

According to the provided passage, the Agricultural Adjustment Act was criticized because it curtailed farm output, left fields idle, and destroyed excess produce to eliminate the surplus that was depressing prices. This policy drew significant criticism because millions of people throughout the United States and the world were in desperate need of food but could not afford to pay for it, and there was no politically feasible way to distribute the food to them.

Explanation

The statement that the Tennessee Valley Authority (TVA) built the ammunition factory in Alabama during World War I is incorrect because the TVA was only created in 1933. The dam and ammunition factories at Muscle Shoals, Alabama, were built by the federal government during World War I, which took place from 1914 to 1918. The government later established the TVA as an independent agency to utilize these pre-existing facilities for producing fertilizer and electric power.

Explanation

The passage explicitly states that in 1933, the United States government created the Tennessee Valley Authority (TVA) as an independent government agency. Its primary mandate was to put the existing facilities at Muscle Shoals, Alabama, to work for producing fertilizer and electric power, and to construct additional dams and power plants to control floods, improve land conservation, and foster economic development in the Tennessee River Valley.

Explanation

According to the provided text on the world distribution of human races, human populations are classified into White, Black, and Yellow on the basis of skin colour. The passage explicitly states that yellow-skinned people are found in China, Japan, and Mongolia. This directly indicates that the skin colour associated with the Mongolian people is yellow or yellowish.

Explanation

The scientific classification and identification of different human races are based on various inherited physical features described in the passage. Width and height of the nose are used to classify people, such as those with long and narrow noses in Europe versus those with broad noses in Africa. The shape of the face, whether long or broad, serves as a racial indicator, with broader faces observed in Mongoloid, Chinese, and Polish populations and narrower faces in Scandinavians. Hair form and colour, such as wavy, wooly, or straight hair of different colours, vary distinctively across Caucasian, Negroid, and Mongoloid groups. Skin colour is the most apparent difference used to classify the global population into White, Black, and Yellow groups. Since all these features are key criteria for racial identification, all of the given options are correct.

Explanation

According to the provided text, stature, which refers to height, is explicitly described as an easily measurable character used for classifying the human population. Furthermore, the text states that, like stature, the shape of the head is also a measurable parameter. Therefore, height (a) and shape of the head (b) are identified as the measurable features of the human race.

Explanation

Based on the provided passage, the physical characteristics of the people of North America are described across several parameters. Under skin colour, white-skinned people are located in North America. Under stature, the tallest people are generally found in Europe and North America. In terms of the shape of the head, long headed people are found in Europe and North America. For eye colour, blue-eyed people are found in North America and Europe. Combining these specific observations from the text, the features of the North American people are white-skinned, tallest, long headed, and blue-eyed.

Explanation

Based on the text describing the shape of the face, it is explicitly stated that the faces of the Mongoloid, Chinese, and Polish people are broader. This directly supports the fact that the Chinese and Mongoloid people have broader faces.

Explanation

उताऱ्यातील पहिल्या परिच्छेदानुसार, जेव्हा मानवी बुद्धीला आपल्या सामर्थ्याचा प्रत्यय आणून देणारे सत्यज्ञानाचे नवे उन्मेष मिळतात, तेव्हा जिज्ञासापूर्तीचा निरागस आनंद आणि मानवाच्या अंतःशक्तीचा संपूर्ण विकास होतो. या अलौकिक विद्यानंदाच्या क्षणी ज्ञानोपासकांचे बाह्य जगाशी असलेले द्वैत विरून जाते आणि त्यांची मनःस्थिती सुखदुःख व तहानभुकेच्या पलीकडे जाते. त्यामुळे सत्यज्ञानाने जिज्ञासापूर्तीचा आनंद व अंतःशक्तीचा विकास झाल्यामुळे ज्ञानोपासकांची सुखदुःखाची व तहानभुकेची जाणीव हरपून जाते हे स्पष्ट होते.

Explanation

उताऱ्यात दिलेल्या माहितीनुसार, कोणत्याही सिद्धांताच्या उपयोजनासाठी विचाराच्या व व्यवहाराच्या प्रांतात पुरेसे अनुकूल वातावरण असावे लागते. जर असे अनुकूल वातावरण नसेल, तर तो सिद्धांत काही काळासाठी अगदी निरुपयोगी किंवा विघातक ठरण्याची शक्यता असते. यावरून स्पष्ट होते की, सत्यज्ञानावर आधारलेल्या सिद्धांताच्या योग्य उपयोजनासाठी वैचारिक व व्यावहारिक क्षेत्रातील अनुकूल वातावरण असणे अत्यंत गरजेचे आहे. तसेच, जर परिस्थिती प्रतिकूल असेल तर सिद्धांत तात्पुरता निरुपयोगी ठरू शकत असल्याने, त्या सिद्धांताच्या उपयुक्ततेसाठी योग्य वेळ साधणे म्हणजेच काळाची समुचितता ही देखील अत्यंत महत्त्वाची ठरते. त्यामुळे वैचारिक व व्यावहारिक क्षेत्रातील अनुकूल वातावरण आणि काळाची समुचितता हे दोन्ही सिद्धांताच्या यशस्वी उपयोजनासाठी आवश्यक असणारे घटक आहेत.

Explanation

उताऱ्यात दिलेल्या माहितीनुसार, नैसर्गिक शास्त्रे म्हणजेच विज्ञान बाह्य सृष्टीचा अर्थात सृष्टीतील सत्यांचा शोध घेतात (ड). तसेच, मानवाचे जीवन समृद्ध व सुखावह करणे हेच त्यांचे मूळ प्रयोजन किंवा प्रमुख उद्दिष्ट आहे (अ). यामुळे 'अ' आणि 'ड' ही दोन्ही विज्ञानाची प्रमुख उद्दिष्टे ठरतात.

Explanation

उताऱ्यात स्पष्ट नमूद केले आहे की, विद्यानंद हा आत्मनिष्ठ व अलौकिक असला, तरी विद्याभिवृद्धीचा सामाजिक संदर्भ आणि त्यासाठी खर्ची पडलेले सामूहिक श्रम व संपत्ती यांचा विचार लौकिक दृष्टीनेच करावा लागेल.

यावरून ज्ञानोपासकांना ज्ञानवृद्धीचा सामाजिक संदर्भ कोणता आहे (विधान क) आणि ज्ञानवृद्धीसाठी उपयुक्त ठरलेले सामूहिक श्रम व संपत्ती यांचे मूल्य कोणते आहे (विधान ड) याचे भान लौकिक दृष्टीने ठेवावे लागते. त्यामुळे 'क आणि ड' हे दोन्ही पर्याय योग्य ठरतात.

Explanation

उताऱ्यातील पहिल्या परिच्छेदानुसार, ज्ञानाचे चिरंतन पावित्र्य व त्याची देशकालसापेक्ष उपयुक्तता यांमध्ये मुळातच विरोध नाही, म्हणजेच त्यांच्यामध्ये समन्वयाचे (ब) नाते असणे आवश्यक आहे. तसेच, विज्ञानाची मूळ प्रेरणा ही मानवाच्या अंतिम हिताचीच (ड) असते. त्यामुळे ज्ञानाची पवित्रता आणि देशकाल सापेक्ष उपयुक्तता यामध्ये समन्वय आणि मानव समूहाच्या अंतिम हिताचे नाते असणे आवश्यक आहे.

Explanation

The passage directly outlines the reasons why criticism of the judiciary is inevitable. First, the author mentions the relevance of contempt law in a free society where criticism of the judiciary is inevitable, supporting statement a. Second, the author states that judges possess vast powers and people will not remain silent about how these powers are exercised, supporting statement b. Third, the author draws a parallel with other branches of government, noting that just as decisions of other branches of government attract criticism, judicial decisions also invite the same, supporting statement c. Therefore, statements a, b, and c are all valid reasons given by the writer.

Explanation

The word umbrage has both literal and figurative meanings. Historically, it is derived from the Latin word umbra, which means shade or shadow, giving it the literal or archaic meaning of shady. In modern usage, particularly within the common idiom to take umbrage, the term represents a feeling of being offended or experiencing resentment. This aligns with statements a, c, and d.

Explanation

The term upside-down describes a physical orientation where the top of an object is turned to the bottom. Topsy-turvy is a direct synonym that means inverted, reversed, or turned upside down. In the context of the passage, the newspaper published a photograph of the Law Lords that was rotated vertically, making topsy-turvy the correct definition of the term.

Explanation

In the Spycatcher's case, following the judgment delivered by the House of Lords, the Daily Mirror newspaper published an upside-down photograph of the Law Lords with the caption "You Old Fools". This caption directly referred to the judges, characterizing them as "Old Fools" in criticism of their decision.

Explanation

According to the passage, after inviting the former judge to defend his statements in person, the Supreme Court chose to take umbrage, which means taking offense, and asked security staff to escort him outside the premises, which corresponds to asking security to remove him. The passage also describes this sequence of events as a theatrical public confrontation. There is no mention of the court jailing him. Therefore, only statements a, b, and c are correct based on the text.

Explanation

Statement a directly interprets the opening sentence of the passage, which identifies India's labour laws and labour quality as major deficiencies that fail to meet the requirements of high-quality industrial production, thereby hindering the Make in India initiative. Statement b is also a correct interpretation because the author explicitly links India having the lowest worker productivity to the fact that the labour force is poorly educated and lacks the discipline needed for the factory floor. Both statements are logically consistent with the factual premises and conclusions explicitly stated in the text.

Explanation

The provided passage states that if the Third World War is triggered by the misuse of nuclear weapons, it will end quickly with the possible end of civilization. This leads to the direct inference that the devastating power of nuclear weapons in such a global conflict will result in the complete annihilation of human society, meaning no civilization will survive the aftermath of the war.

Explanation

By combining the given statements, we can logically deduce the conclusion. Statement a establishes that all concrete houses in this village are painted white. Statement c states that concrete houses built after liberalization have spacious porches. Since concrete houses built after liberalization are a subset of all concrete houses, they must also be painted white according to statement a. Therefore, any concrete houses built after liberalization in this village are painted white and have spacious porches. This directly validates that there are some white concrete houses with spacious porches in the village.

Explanation

According to Statement I, "None but the affluent can afford AC vehicles." In formal logic, the statement "None but A are B" translates to "All B are A" (or "Only A are B"). This means that all people who can afford AC vehicles are affluent. Since traveling by an AC vehicle requires being able to afford it, it logically follows that everyone who travels by an AC vehicle must be affluent. This directly validates Conclusion d.

Explanation

The three tasks performed are breaking open the doors, collecting the valuables, and carrying the bags out. Since each task is done by a different person, let us assume Manu is the truth-teller whose statements are both true.

Manu statements: Ani broke open the doors (True). Manu collected the valuables (True).

Under this assumption, Janu must have carried the bags out of the shop. Now let us check the statements of the other two suspects to see if they alternate between truth and lie:

Ani statements: Janu broke open the doors (False, as Ani did it). Manu collected the valuables (True). Ani alternates between False and True.

Janu statements: Janu carried the bags out (True). Manu broke open the doors (False, as Ani did it). Janu alternates between True and False.

Since the alternating condition is satisfied for both Ani and Janu, Manu is the truth-teller, meaning Manu collected the valuables.

If Ani is the truth-teller, Janu broke the doors and Manu collected the valuables, making both of Janu statements false, which violates the rule. If Janu is the truth-teller, Janu carried the bags and Manu broke the doors, making both of Ani statements false, which also violates the rule.

Explanation

Conclusion I does not follow because the employees' refusal to declare their assets and income does not yield any information about whether they actually possess additional income or not. Resistance to such directives can stem from privacy issues, administrative disagreements, or union policies, making any assumption about their actual income levels speculative.

Conclusion II does not follow because the statement does not contain any details regarding the specific reasons or demands behind the union's resistance. Assuming that the union wants senior officers to declare their assets first is an external assumption that cannot be logically inferred from the provided text.

Explanation

To find the winner, we evaluate the truth value of each statement under the scenario where Setu won the race.

If Setu won the race: Pia's statement that either Setu or Lalu won the race is true. Dia's statement that Setu won the race is true. Nia's statement that neither Setu nor Lalu won the race is false.

In this scenario, Pia and Dia are telling the truth, and Nia is the only liar. This satisfies the condition that exactly one of the persons is a liar. Thus, Setu is the winner of the race.

Explanation

Let the number of coconuts Lucy, Zeenat, and Jaya have originally be L, Z, and J respectively.

According to the problem, Jaya has twice as many coconuts as Zeenat: J = 2Z

If Lucy gives 15 coconuts to Zeenat and 5 coconuts to Jaya, each will have half of Lucy's original count: Z + 15 = L/2 J + 5 = L/2

Since both expressions are equal to L/2, they can be set equal to each other: Z + 15 = J + 5

Substitute J = 2Z into the equation: Z + 15 = 2Z + 5

Subtracting Z and 5 from both sides yields: Z = 10

Explanation

Let the bus fare from city A to city B be x, and the bus fare from city A to city C be y.

From the first statement, the total cost for two tickets to B and three tickets to C is: 2x + 3y = 77

From the second statement, the total cost for three tickets to B and two tickets to C is: 3x + 2y = 73

Adding these two equations together: 5x + 5y = 150 x + y = 30

Subtracting the second equation from the first: -x + y = 4

Now, add these two simplified equations: (x + y) + (-x + y) = 30 + 4 2y = 34 y = 17

Substitute y = 17 into the equation x + y = 30: x + 17 = 30 x = 13

Thus, the fare to city B is ₹ 13 and the fare to city C is ₹ 17.

Explanation

To find the total number of parts, we first determine the maximum equal length into which all the rods can be cut. This length is the Highest Common Factor (HCF) of the lengths of the four metal rods: 102 cm, 136 cm, 153 cm, and 289 cm.

Finding the prime factorization of each length: 102 = 2 × 3 × 17 136 = 2³ × 17 153 = 3² × 17 289 = 17²

The common prime factor in all four sets is 17. Therefore, the HCF is 17 cm, which represents the maximum equal length of each cut part.

Now, we calculate the number of parts obtained from each rod by dividing its length by 17: First rod: 102 / 17 = 6 parts Second rod: 136 / 17 = 8 parts Third rod: 153 / 17 = 9 parts Fourth rod: 289 / 17 = 17 parts

Summing these parts gives the total number of parts: Total parts = 6 + 8 + 9 + 17 = 40

Explanation

To form a 3-digit number that is divisible by 5, the digit in the units place must be either 0 or 5. Among the given digits 2, 3, 5, 6, 7, and 9, only the digit 5 satisfies this condition. Thus, the units place can be filled in exactly 1 way.

Since the repetition of digits is not allowed, the remaining two places (hundreds and tens) must be filled using the remaining 5 digits, which are 2, 3, 6, 7, and 9.

The tens place can be filled in 5 different ways using any of the remaining 5 digits. After filling the tens place, the hundreds place can then be filled in 4 different ways using any of the remaining 4 digits.

Using the fundamental multiplication principle of counting, the total number of such 3-digit numbers is: 4 × 5 × 1 = 20

Explanation

Let D be the total distance of the race.

Lalu completes 3/4th of the race in 2 hours, so Lalu's speed (S_L) is: S_L = (3/4)D ÷ 2 = (3/8)D per hour

The time taken by Lalu to complete 9/10th of the race is: T = (9/10)D ÷ (3/8)D = (9/10) × (8/3) = 12/5 hours

John completes 2/3rd of the race in 5/8th of this time. The time taken by John (T_J) is: T_J = (5/8) × (12/5) = 12/8 = 3/2 hours

John's speed (S_J) is: S_J = (2/3)D ÷ (3/2) = (4/9)D per hour

Comparing the two speeds: Quantity A (Lalu's Speed) = (3/8)D = 0.375 D Quantity B (John's Speed) = (4/9)D ≈ 0.444 D

Since 0.375 D < 0.444 D, Quantity A is smaller than Quantity B.

Explanation

Let the present ages of Savita and Kavita be 3x and 4x respectively.

After 5 years, their ages will be 3x + 5 and 4x + 5.

According to the given ratio: (3x + 5) / (4x + 5) = 4 / 5

Cross-multiplying the terms: 5 × (3x + 5) = 4 × (4x + 5) 15x + 25 = 16x + 20 16x - 15x = 25 - 20 x = 5

Present age of Savita = 3x = 3 × 5 = 15 years. Present age of Kavita = 4x = 4 × 5 = 20 years.

Explanation

To find the greatest possible length of a scale that can measure all three lengths exactly, calculate the Highest Common Factor (HCF) of the three given lengths. First, convert all measurements to centimeters:

3 m = 300 cm 5 m 10 cm = 510 cm 12 m 90 cm = 1290 cm

Find the HCF of 300, 510, and 1290:

300 = 10 × 3 × 10 510 = 10 × 3 × 17 1290 = 10 × 3 × 43

The common factors among the three numbers are 10 and 3.

HCF = 10 × 3 = 30 cm

Explanation

Total number of persons in a row can be calculated using the formula: Total = Position from left + Position from right - 1

After interchanging positions, A takes the place of B. This means this specific position is 18th from the left and was 10th from the right. Total number of persons in the row = 18 + 10 - 1 = 27

To find the number of persons in the row other than A and B, we subtract these 2 individuals from the total: Persons other than A and B = 27 - 2 = 25

Explanation

Using the simple interest formula: SI = (P × R × T) / 100

where SI is the simple interest, P is the principal, R is the rate of interest, and T is the time period in years.

We are given that the principal P = ₹ 1200, simple interest SI = ₹ 432, and the time period is equal to the rate of interest, which means T = R.

Substituting these values into the formula: 432 = (1200 × R × R) / 100 432 = 12 × R² R² = 432 / 12 R² = 36 R = √36 R = 6

Therefore, the rate of interest is 6%.

Explanation

Expressing a in terms of d using the given percentages: c = 0.2d b = 0.4 × 0.2d = 0.08d a = 0.6 × 0.08d = 0.048d

We need to find what percent of 20a is 6d. This can be calculated using the formula: Percentage = (6d / 20a) × 100

Substituting the value of a in terms of d into the equation: Percentage = (6d / (20 × 0.048d)) × 100 Percentage = (6d / 0.96d) × 100 Percentage = (6 / 0.96) × 100 Percentage = 625%

Explanation

Gaurav is good in volleyball and cricket as specified in the third statement. Furthermore, the fourth statement states that Gaurav is good in baseball and football. Combining these, Gaurav is the individual who is good in all four sports: baseball, cricket, volleyball, and football.

Explanation

The coding scheme uses the reverse alphabetical position of each letter. The position of a letter from the end of the alphabet is calculated using the formula: Reverse Position = 27 - Forward Position.

For the word KAMAL, the positions of the letters from the start are K = 11, A = 1, M = 13, A = 1, and L = 12. Applying the formula: K = 27 - 11 = 16 A = 27 - 1 = 26 M = 27 - 13 = 14 A = 27 - 1 = 26 L = 27 - 12 = 15 This yields the code 1626142615.

Applying the same logic to the word NO: N is the 14th letter from the start, so its reverse position is 27 - 14 = 13. O is the 15th letter from the start, so its reverse position is 27 - 15 = 12. Combining these positions gives the code 1312.

Explanation

In the expression Q R @ T # M: Q R implies Q is the father of R. R @ T implies R is the brother of T. T # M implies T is the sister of M.

Since R is the brother of T, and T is the sister of M, R, T, and M are siblings of each other with Q as their father. This successfully establishes that R, T, and M are siblings.

Explanation

The grid follows two distinct patterns for the numbers and letters in each row.

For the numbers: The sum of the first and third numbers in each row equals the middle number. First row: 4 + 2 = 6 Second row: 6 + 7 = 13 Third row: 8 + x = 10, which gives x = 2

For the letters: The letters in each row progress by skipping one letter in alphabetical order, which corresponds to an increment of +2 in their position values. First row: A (1) → C (3) → E (5) Second row: P (16) → R (18) → T (20) Third row: N (14) → P (16) → R (18)

Combining both patterns, the missing term that replaces the question mark is 2R.

Explanation

Applying syllogism rules to 'Some trees are branches' and 'All branches are hats': the particular-universal combination validly yields 'Some trees are hats,' which can be legitimately converted to 'Some hats are trees.' The statement 'All hats are branches' does not follow, since a universal affirmative cannot be validly converted to another universal statement. Restating 'All branches are hats' as a conclusion merely repeats a given premise rather than deriving new information, so only the two converted/derived particular conclusions are logically valid.

Explanation

An Industrial Training Institute (ITI) is designed to provide critical vocational and technical training where hands-on practical experience is indispensable. Operating an institute out of a single-room flat with a scooter garage masquerading as a laboratory is a severe violation of regulatory guidelines, safety standards, and infrastructural norms. Presenting false certificates of massive infrastructure to secure government recognition is a fraudulent act. Allowing such an institution to function compromises the quality of skills acquired by the students, rendering their certifications meaningless and reducing their employability. Immediate de-recognition is the ethically and administratively correct decision to maintain educational standards, prevent the exploitation of students, and send a strong deterrent message against administrative fraud and misrepresentation.

Explanation

Conducting informal meetings is an effective leadership strategy to address resistance to technological change and align the team with organizational goals. This participatory approach fosters open communication, allowing the leader to address the subordinates' concerns constructively while persuading them of the benefits of Information and Communications Technology. By building a shared vision of transparency, accountability, and public welfare through these discussions, the leader can successfully motivate the team to work collectively as responsible, honest public servants, ensuring a smooth transition and long-term compliance without creating unnecessary friction or resentment in the department.

Explanation

The critical issue in this situation is a mob fueled by panic and misinformation regarding the safety of their leader. The most immediate and effective way to defuse such high-tension situations is to eliminate the root cause of the rumor through transparency and direct communication. Assuring the mob of the leader's safety and allowing a small, representative delegation from the group to personally meet and verify the well-being of their leader provides credible, first-hand proof. This immediate transparency helps de-escalate the anger, dispels the rumor of a fake encounter, restores faith in the administration, and prevents any outbreak of violence without having to resort to force.

Explanation

To address any large-scale environmental or public health challenge at the city level, an administrator must base their decisions on empirical, localized evidence. While global or national reports like the State of Global Air provide valuable macro-level trends indicating that ozone-related early deaths are rising across India, they do not automatically reflect the precise air quality profile, precursor emissions, or epidemiological data of a specific municipality.

Designing and implementing massive urban interventions requires substantial financial resources and can cause major public inconvenience. Therefore, the most rational and systematically sound first step is to collect localized data to verify the existence and severity of the ground-level ozone problem within the city. Moreover, since the core issue involves public health and early mortality, collaborating with the health department ensures a comprehensive, multi-sectoral approach that accurately diagnoses the health impact on the local population before deploying targeted mitigation strategies.

Explanation

As an administrator, promoting a scientific temper and rational thinking among employees is a fundamental responsibility, in line with the constitutional values of developing a scientific temper, humanism, and the spirit of inquiry and reform. Since the office premises are already scientifically and ecologically designed, the belief linking external accidents to vastu defects is superstitious and illogical. Organising workshops is the most constructive approach because it addresses the core issue by educating the workforce and demonstrating the futility of such superstitious beliefs through factual evidence, thereby building a rational and progressive work environment without resorting to authoritarian dismissal.