IASbaba Prelims 60 Days Plan, Rapid Revision Series (RaRe)
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The 60 Days Rapid Revision (RaRe) Series is IASbaba’s Flagship Initiative recommended by Toppers and loved by the aspirants’ community every year.
It is the most comprehensive program which will help you complete the syllabus, revise and practice tests on a daily basis. The Programme on a daily basis includes
Daily Prelims MCQs from Static (Monday – Saturday)
- Daily Static Quiz will cover all the topics of static subjects – Polity, History, Geography, Economics, Environment and Science and technology.
- 20 questions will be posted daily and these questions are framed from the topics mentioned in the schedule.
- It will ensure timely and streamlined revision of your static subjects.
Daily Current Affairs MCQs (Monday – Saturday)
- Daily 5 Current Affairs questions, based on sources like ‘The Hindu’, ‘Indian Express’ and ‘PIB’, would be published from Monday to Saturday according to the schedule.
Daily CSAT Quiz (Monday – Friday)
- CSAT has been an Achilles heel for many aspirants.
- Daily 5 CSAT Questions will be published.
Note – Daily Test of 20 static questions, 10 current affairs, and 5 CSAT questions. (35 Prelims Questions) in QUIZ FORMAT will be updated on a daily basis.
To Know More about 60 Days Rapid Revision (RaRe) Series – CLICK HERE
60 Day Rapid Revision (RaRe) Series Schedule – CLICK HERE
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The following Test is based on the syllabus of 60 Days Plan-2023 for UPSC IAS Prelims 2022.
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Question 1 of 35
1. Question
‘Alphafold’ is a revolutionary artificial-intelligence (AI) network which can predict:
Correct
Solution (d)
Researchers have used AlphaFold — the revolutionary artificial intelligence (AI) network — to predict the structures of more than 200 million proteins from some 1 million species, covering almost every known protein on the planet.
The data dump is freely available on a database set up by DeepMind, the London-based AI company, owned by Google, that developed AlphaFold, and the European Molecular Biology Laboratory’s European Bioinformatics Institute (EMBL–EBI), an intergovernmental organization near Cambridge, UK.
Incorrect
Solution (d)
Researchers have used AlphaFold — the revolutionary artificial intelligence (AI) network — to predict the structures of more than 200 million proteins from some 1 million species, covering almost every known protein on the planet.
The data dump is freely available on a database set up by DeepMind, the London-based AI company, owned by Google, that developed AlphaFold, and the European Molecular Biology Laboratory’s European Bioinformatics Institute (EMBL–EBI), an intergovernmental organization near Cambridge, UK.
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Question 2 of 35
2. Question
‘Nano Copper’ has been in the news in the context of:
Correct
Solution (b)
A new copper coating that kills bacteria quicker and in greater amounts than current formulations could soon be available for hospitals and other high-traffic facilities. A team of UBC researchers have designed a Nano-copper coating that includes bacteria-killing Nano scale features and zinc. The Nano scale features are tiny bumps that can kill bacteria by rupturing their cell wall. Zinc, which is also antibacterial, selectively oxidizes in the presence of copper and helps kill bacteria more quickly compared to pure copper alone.
Incorrect
Solution (b)
A new copper coating that kills bacteria quicker and in greater amounts than current formulations could soon be available for hospitals and other high-traffic facilities. A team of UBC researchers have designed a Nano-copper coating that includes bacteria-killing Nano scale features and zinc. The Nano scale features are tiny bumps that can kill bacteria by rupturing their cell wall. Zinc, which is also antibacterial, selectively oxidizes in the presence of copper and helps kill bacteria more quickly compared to pure copper alone.
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Question 3 of 35
3. Question
Consider the following statements:
- Machine learning is the concept that a computer program can learn and adapt to new data without human interference.
- Artificial intelligence refers to the simulation of human intelligence in machines that are programmed to think like humans and mimic their actions.
- Natural Language Processing is a branch of artificial intelligence that deals with the interaction between computers and humans using natural language.
How many of the above statements are correct?
Correct
Solution (c)
Statement 1 Statement 2 Statement 3 Correct Correct Correct Machine learning is the concept that a computer program can learn and adapt to new data without human intervention. Machine learning is a field of artificial intelligence (AI) that keeps a computer’s built-in algorithms current regardless of changes in the worldwide economy. Hence, statement 1 is correct. Artificial intelligence (AI) refers to the simulation of human intelligence in machines that are programmed to think like humans and mimic their actions. The term may also be applied to any machine that exhibits traits associated with a human mind such as learning and problem-solving. Hence, statement 2 is correct. Natural language processing (NLP) refers to the branch of computer science—and more specifically, the branch of artificial intelligence or AI—concerned with giving computers the ability to understand text and spoken words in much the same way human beings can. Hence, statement 3 is correct. Incorrect
Solution (c)
Statement 1 Statement 2 Statement 3 Correct Correct Correct Machine learning is the concept that a computer program can learn and adapt to new data without human intervention. Machine learning is a field of artificial intelligence (AI) that keeps a computer’s built-in algorithms current regardless of changes in the worldwide economy. Hence, statement 1 is correct. Artificial intelligence (AI) refers to the simulation of human intelligence in machines that are programmed to think like humans and mimic their actions. The term may also be applied to any machine that exhibits traits associated with a human mind such as learning and problem-solving. Hence, statement 2 is correct. Natural language processing (NLP) refers to the branch of computer science—and more specifically, the branch of artificial intelligence or AI—concerned with giving computers the ability to understand text and spoken words in much the same way human beings can. Hence, statement 3 is correct. -
Question 4 of 35
4. Question
In the context of Robotics, consider the following statements
- Tele-robot is the science of constructing artificial systems that have some of the characteristics of living systems.
- Bionics is the science of constructing semi-autonomous robots controlled from a distance, chiefly using a wireless network.
Choose the correct code:
Correct
Solution (d)
Statement 1 Statement 2 Incorrect Incorrect Tele-robot is the science of constructing semi-autonomous robots controlled from a distance, chiefly using a wireless network. It is a combination of two major subfields, teleoperation and telepresence. Teleoperation meaning the operation of a machine at a distance whereas telepresence means a set of technologies that allow a person to feel as if they were present, to give the appearance of being present.
Bionics is the science of constructing artificial systems that have some of the characteristics of living systems. These are used to apply the way animals move to the design of robots.
Incorrect
Solution (d)
Statement 1 Statement 2 Incorrect Incorrect Tele-robot is the science of constructing semi-autonomous robots controlled from a distance, chiefly using a wireless network. It is a combination of two major subfields, teleoperation and telepresence. Teleoperation meaning the operation of a machine at a distance whereas telepresence means a set of technologies that allow a person to feel as if they were present, to give the appearance of being present.
Bionics is the science of constructing artificial systems that have some of the characteristics of living systems. These are used to apply the way animals move to the design of robots.
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Question 5 of 35
5. Question
Consider the following statements
- India’s Artificial Intelligence strategy is known as “AI for All”.
- India is not part of the Global Partnership on Artificial Intelligence (GPAI).
Choose the incorrect code:
Correct
Solution (a)
Statement 1 Statement 2 Correct Incorrect India’s Artificial Intelligence strategy is known as “AI for All” which t focuses on responsible AI, building AI solutions at scale with an intent to make India the AI garage of the world which means a trusted nation to which the world can outsource AI-related work. It emphasizes on inclusive development through the use of AI technologies. India is a part of the Global Partnership on Artificial Intelligence (GPAI). It is an international and multi-stakeholder initiative to guide the responsible development and use of AI, grounded in human rights, inclusion, diversity, innovation, and economic growth. It aims to bridge the gap between the theory and practice of AI. Incorrect
Solution (a)
Statement 1 Statement 2 Correct Incorrect India’s Artificial Intelligence strategy is known as “AI for All” which t focuses on responsible AI, building AI solutions at scale with an intent to make India the AI garage of the world which means a trusted nation to which the world can outsource AI-related work. It emphasizes on inclusive development through the use of AI technologies. India is a part of the Global Partnership on Artificial Intelligence (GPAI). It is an international and multi-stakeholder initiative to guide the responsible development and use of AI, grounded in human rights, inclusion, diversity, innovation, and economic growth. It aims to bridge the gap between the theory and practice of AI. -
Question 6 of 35
6. Question
With reference to the turing test, consider the following statements
- It is a test to determine whether machines can impersonate human beings.
- It makes use of artificial intelligence.
Choose the correct code:
Correct
Solution (c)
Statement 1 Statement 2 Correct Correct The turing test is a test to determine whether machines can impersonate human beings. It is a simple method of determ0ining whether a machine can demonstrate human intelligence.
It is a method of inquiry in artificial intelligence (AI) for determining whether or not a computer is capable of thinking like a human being. The test is named after Alan Turing, the founder of the Turing Test and an English computer scientist, cryptanalyst, mathematician and theoretical biologist. Incorrect
Solution (c)
Statement 1 Statement 2 Correct Correct The turing test is a test to determine whether machines can impersonate human beings. It is a simple method of determ0ining whether a machine can demonstrate human intelligence.
It is a method of inquiry in artificial intelligence (AI) for determining whether or not a computer is capable of thinking like a human being. The test is named after Alan Turing, the founder of the Turing Test and an English computer scientist, cryptanalyst, mathematician and theoretical biologist. -
Question 7 of 35
7. Question
Consider the following statements
- The Language Model for Dialogue Applications (LaMDA) is a Facebook’s artificial intelligence-based chatbot.
- The Chatbots are a form of Artificial Intelligence (AI) used in messaging apps.
Which of the statements given above is/are correct?
Correct
Solution (b)
Statement 1 Statement 2 Incorrect Correct The Language Model for Dialogue Applications (LaMDA) is a Google’s artificial intelligence-based chatbot. LaMDA can engage in a free-flowing way about a seemingly endless number of topics, an ability that the company thinks can unlock more natural ways of interacting with technology and the entirely new categories of helpful applications.
LaMDA 2.0 will possibly take an idea and generate imaginative and relevant descriptions, can stay on a particular topic even if a user strays off-topic, and can also suggest a list of things that are needed for a specified activity.
The Chatbots is a form of Artificial Intelligence (AI) used in messaging apps. This tool helps add convenience for customers—they are automated programs that interact with customers like a human would and cost little to nothing to engage with.
Key example – Amazon’s Alexa.
Incorrect
Solution (b)
Statement 1 Statement 2 Incorrect Correct The Language Model for Dialogue Applications (LaMDA) is a Google’s artificial intelligence-based chatbot. LaMDA can engage in a free-flowing way about a seemingly endless number of topics, an ability that the company thinks can unlock more natural ways of interacting with technology and the entirely new categories of helpful applications.
LaMDA 2.0 will possibly take an idea and generate imaginative and relevant descriptions, can stay on a particular topic even if a user strays off-topic, and can also suggest a list of things that are needed for a specified activity.
The Chatbots is a form of Artificial Intelligence (AI) used in messaging apps. This tool helps add convenience for customers—they are automated programs that interact with customers like a human would and cost little to nothing to engage with.
Key example – Amazon’s Alexa.
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Question 8 of 35
8. Question
Consider the following statements
- Gold Nano Particles are used in the photovoltaic cell manufacturing industry.
- Cordy Gold Nanoparticles (Cor-AuNPs) is used for drug delivery in the human body.
Choose the correct code:
Correct
Solution (c)
Statement 1 Statement 2 Correct Correct Gold Nano Particles (GNPs) are used in the photovoltaic cell manufacturing industry due to greater solar radiation absorbing ability than the conventional bulk gold. GNPs are melted at much lower temperatures (300 °C) than bulk gold (1064 °C). Cordy Gold Nanoparticles (Cor-AuNPs) is used for drug delivery in the human body. They are derived from the synthesis of the extracts of Cordyceps Mlitaris and Gold Salts.
Cordyceps militaris is a high value parasitic fungus, lab-grown at the Department of Biotechnology’s Technology Incubation Centre (TIC) in Bodoland University.
Wild Cordyceps mushroom are found in the eastern Himalayan belt. Gold salts are ionic chemical compounds of gold generally used in medicine.
Incorrect
Solution (c)
Statement 1 Statement 2 Correct Correct Gold Nano Particles (GNPs) are used in the photovoltaic cell manufacturing industry due to greater solar radiation absorbing ability than the conventional bulk gold. GNPs are melted at much lower temperatures (300 °C) than bulk gold (1064 °C). Cordy Gold Nanoparticles (Cor-AuNPs) is used for drug delivery in the human body. They are derived from the synthesis of the extracts of Cordyceps Mlitaris and Gold Salts.
Cordyceps militaris is a high value parasitic fungus, lab-grown at the Department of Biotechnology’s Technology Incubation Centre (TIC) in Bodoland University.
Wild Cordyceps mushroom are found in the eastern Himalayan belt. Gold salts are ionic chemical compounds of gold generally used in medicine.
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Question 9 of 35
9. Question
Consider the following statements
- The AI chips are built with specific architecture and have integrated AI acceleration to support deep learning-based applications.
- The Active Neural Network (ANN) is a subset of machine learning.
Choose the correct code:
Correct
Solution (c)
Statement 1 Statement 2 Correct Correct The AI chips are built with specific architecture and have integrated AI acceleration to support deep learning-based applications. It combines a series of computer commands or algorithms that stimulate activity and brain structure.
The Active Neural Network (ANN) is a subset of machine learning. It is also known as the Deep Neural Network (DNN) comes under the broader umbrella of AI. DNNs go through a training phase, learning new capabilities from existing data.
DNNs can then inference, by applying these capabilities learned during deep learning training to make predictions against previously unseen data. Deep learning can make the process of collecting, analysing, and interpreting enormous amounts of data faster and easier.
Incorrect
Solution (c)
Statement 1 Statement 2 Correct Correct The AI chips are built with specific architecture and have integrated AI acceleration to support deep learning-based applications. It combines a series of computer commands or algorithms that stimulate activity and brain structure.
The Active Neural Network (ANN) is a subset of machine learning. It is also known as the Deep Neural Network (DNN) comes under the broader umbrella of AI. DNNs go through a training phase, learning new capabilities from existing data.
DNNs can then inference, by applying these capabilities learned during deep learning training to make predictions against previously unseen data. Deep learning can make the process of collecting, analysing, and interpreting enormous amounts of data faster and easier.
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Question 10 of 35
10. Question
Consider the following statements about the artificial neural network
- It is a subset of machine learning which is a computational model based on the functions and structure of biological neural networks.
- It cannot be used in facial recognition.
Choose the correct code:
Correct
Solution (a)
Statement 1 Statement 2 Correct Incorrect The artificial neural network is a subset of machine learning which is a computational model based on the functions and structure of biological neural networks. Information that runs through the network affects the structure of the artificial neural network due to the fact that a neural network learns or changes based on the input and output. It is a vital subset of machine learning that helps computer scientists in their work on complex tasks, such as, strategizing, making predictions, and recognizing trends.
It is a computational model that mimics the way nerve cells work in the human brain. It is designed to simulate the way the human brain analyses and processes information.
It is not like other machine learning algorithms that crunch numbers or organise data, it is an algorithm that learns from experience and repeated tasks performed by its users.
It can be used in facial recognition, aerospace healthcare, signature Verification, handwriting analysis, stock market prediction, social media and defence. Incorrect
Solution (a)
Statement 1 Statement 2 Correct Incorrect The artificial neural network is a subset of machine learning which is a computational model based on the functions and structure of biological neural networks. Information that runs through the network affects the structure of the artificial neural network due to the fact that a neural network learns or changes based on the input and output. It is a vital subset of machine learning that helps computer scientists in their work on complex tasks, such as, strategizing, making predictions, and recognizing trends.
It is a computational model that mimics the way nerve cells work in the human brain. It is designed to simulate the way the human brain analyses and processes information.
It is not like other machine learning algorithms that crunch numbers or organise data, it is an algorithm that learns from experience and repeated tasks performed by its users.
It can be used in facial recognition, aerospace healthcare, signature Verification, handwriting analysis, stock market prediction, social media and defence. -
Question 11 of 35
11. Question
Consider the following:
- Facial detection and recognition
- Auto correct or text editors
- Digital assistants
- Chatbots
Which of the above are examples of Artificial Intelligence?
Correct
Solution (d)
- AI is the ability of a computer, or a robot controlled by a computer to do tasks that are usually done by humans because they require human intelligence and discernment.
- Although there is no AI that can perform the wide variety of tasks an ordinary human can do, some AI can match humans in specific tasks.
- The ideal characteristic of artificial intelligence is its ability to rationalize and take actions that have the best chance of achieving a specific goal.
Applications of AI in Different Sectors
- Healthcare: It aims to enhance diagnosis accuracy, enable personalized treatment, improve patient outcomes, streamline healthcare operations, and accelerate medical research and innovation.
- Recently, the Indian Council of Medical Research (ICMR) issued a guiding document- “The Ethical Guidelines for Application of AI in Biomedical Research and Health care”, which outlines 10 key patient-centric ethical principles for AI application in the health sector.
- Trade and commerce: AI in the business sector helps optimize operations, enhance decision-making, automate repetitive tasks, improve customer service, enable personalized marketing, analyze big data for insights, detect fraud and cybersecurity threats, streamline supply chain management, and drive innovation and competitiveness.
- Education: AI could open new possibilities for innovative and personalized approaches catering to different learning abilities.
- IIT Kharagpur has collaborated with Amazon Web Services to develop the National AI Resource Platform (NAIRP), the future possibilities of which include monitoring eye movement, motion and other parameters for better teaching and learning.
- As demonstrated by ChatGPT, Bard and other large language models, generative AI can help educators and engage students in new ways.
- Judiciary: It is used to improve legal research and analysis, automate documentation and case management, enhance court processes and scheduling, facilitate online dispute resolution, assist in legal decision-making through predictive analytics, and increase access to justice by providing virtual legal assistance and resources.
- SUVAS (Supreme Court Vidhik Anuvaad Software): It is an AI system that can assist in the translation of judgments into regional languages.
- This is another landmark effort to increase access to justice.
- UPACE (Supreme Court Portal for Assistance in Court Efficiency): It was recently launched by the Supreme Court of India.
- Cybersecurity/Security: It is used in security and cybersecurity to detect and prevent cyber threats, identify anomalous activities, analyze large volumes of data for patterns and vulnerabilities, enhance network and endpoint security, automate threat response and incident management, strengthen authentication and access control, and provide real-time threat intelligence and predictive analytics for proactive defense against cyber-attacks.
Hence (d) is the correct answer.
Incorrect
Solution (d)
- AI is the ability of a computer, or a robot controlled by a computer to do tasks that are usually done by humans because they require human intelligence and discernment.
- Although there is no AI that can perform the wide variety of tasks an ordinary human can do, some AI can match humans in specific tasks.
- The ideal characteristic of artificial intelligence is its ability to rationalize and take actions that have the best chance of achieving a specific goal.
Applications of AI in Different Sectors
- Healthcare: It aims to enhance diagnosis accuracy, enable personalized treatment, improve patient outcomes, streamline healthcare operations, and accelerate medical research and innovation.
- Recently, the Indian Council of Medical Research (ICMR) issued a guiding document- “The Ethical Guidelines for Application of AI in Biomedical Research and Health care”, which outlines 10 key patient-centric ethical principles for AI application in the health sector.
- Trade and commerce: AI in the business sector helps optimize operations, enhance decision-making, automate repetitive tasks, improve customer service, enable personalized marketing, analyze big data for insights, detect fraud and cybersecurity threats, streamline supply chain management, and drive innovation and competitiveness.
- Education: AI could open new possibilities for innovative and personalized approaches catering to different learning abilities.
- IIT Kharagpur has collaborated with Amazon Web Services to develop the National AI Resource Platform (NAIRP), the future possibilities of which include monitoring eye movement, motion and other parameters for better teaching and learning.
- As demonstrated by ChatGPT, Bard and other large language models, generative AI can help educators and engage students in new ways.
- Judiciary: It is used to improve legal research and analysis, automate documentation and case management, enhance court processes and scheduling, facilitate online dispute resolution, assist in legal decision-making through predictive analytics, and increase access to justice by providing virtual legal assistance and resources.
- SUVAS (Supreme Court Vidhik Anuvaad Software): It is an AI system that can assist in the translation of judgments into regional languages.
- This is another landmark effort to increase access to justice.
- UPACE (Supreme Court Portal for Assistance in Court Efficiency): It was recently launched by the Supreme Court of India.
- Cybersecurity/Security: It is used in security and cybersecurity to detect and prevent cyber threats, identify anomalous activities, analyze large volumes of data for patterns and vulnerabilities, enhance network and endpoint security, automate threat response and incident management, strengthen authentication and access control, and provide real-time threat intelligence and predictive analytics for proactive defense against cyber-attacks.
Hence (d) is the correct answer.
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Question 12 of 35
12. Question
The term ‘Nanomicelles’ recently seen in the news is related to-
Correct
Solution (b)
- Nanomicelles are ultramicroscopic (size 10 – 100 nm) structures used in the treatment of disease.
- They have a hydrophilic outer shell and a hydrophobic exterior, making them capable of delivering poorly water-soluble drugs and protecting drug molecules.
- Intensive research has shown that nano micelles could be used in a variety of medico pharmacological instances to catalyze drug effects or improve treatment.
- Studies postulate that nanomicelles are helpful in facilitating therapeutic solutions that involve protein and peptide delivery.
Incorrect
Solution (b)
- Nanomicelles are ultramicroscopic (size 10 – 100 nm) structures used in the treatment of disease.
- They have a hydrophilic outer shell and a hydrophobic exterior, making them capable of delivering poorly water-soluble drugs and protecting drug molecules.
- Intensive research has shown that nano micelles could be used in a variety of medico pharmacological instances to catalyze drug effects or improve treatment.
- Studies postulate that nanomicelles are helpful in facilitating therapeutic solutions that involve protein and peptide delivery.
-
Question 13 of 35
13. Question
Consider the following statements with reference to properties of nanomaterial:
- They are governed by rules of Quantum mechanics.
- The chemical reactivity of the substances increases drastically on Nano transformation.
- Reduced melting point and boiling point is the reason behind its increased strength.
How many of the above statements are correct?
Correct
Solution (c)
Statement 1 Statement 2 Statement 3 Correct Correct Correct Nanomaterials are governed by rules of Quantum mechanics. On size reduction, the surface to volume ratio increases and the rules of Quantum mechanics start controlling the behaviour of particles instead of laws of Newtonian mechanics.
The chemical reactivity of the substances increases drastically on nano transformation. For example, Aluminium in its ulk form is stable but it becomes explosive when transformed to nanoparticle.
In terms of Physical properties, strength of substance increases while the melting point and boiling point would decrease on size reduction. This is the reason why graphite is soft while graphine becomes strongest material.
Incorrect
Solution (c)
Statement 1 Statement 2 Statement 3 Correct Correct Correct Nanomaterials are governed by rules of Quantum mechanics. On size reduction, the surface to volume ratio increases and the rules of Quantum mechanics start controlling the behaviour of particles instead of laws of Newtonian mechanics.
The chemical reactivity of the substances increases drastically on nano transformation. For example, Aluminium in its ulk form is stable but it becomes explosive when transformed to nanoparticle.
In terms of Physical properties, strength of substance increases while the melting point and boiling point would decrease on size reduction. This is the reason why graphite is soft while graphine becomes strongest material.
-
Question 14 of 35
14. Question
Consider the following statements in the context of ‘Nanoparticles’:
- The deviant behaviour of small nanoparticles arises because of the emergence of quantum effects.
- Nanoparticles are much smaller compared with atoms depending on the size, atom can pack in thousands to millions of nanoparticles.
Which of the statements given above is/are correct?
Correct
Solution (a)
- Every element exhibits specific properties, usually determined by the number of electrons in its atoms and the distribution of these electrons around the nucleus. Also, every piece of a pure element exhibits exactly the same properties, regardless of its size. This is one of the fundamental facts of chemistry.
- The deviant behaviour of small nanoparticles arises because of the emergence of quantum effects. The motion and behaviour of very small particles, like electrons, are radically different, and strange, when compared with any familiar object in normal human experience. Such strange behaviour at the sub-atomic level is described by the hugely successful Quantum Theory, developed by physicists 100 years ago. (Hence statement 1 is correct)
- But nanoparticles are much larger compared with atoms. Depending on the size of the atom, a nanoparticle can pack in thousands to millions of atoms. (Hence statement 2 is incorrect)
- Nano-sized particles that behaved slightly differently than larger particles of the same element. These nanoparticles with special properties were called quantum dots
Incorrect
Solution (a)
- Every element exhibits specific properties, usually determined by the number of electrons in its atoms and the distribution of these electrons around the nucleus. Also, every piece of a pure element exhibits exactly the same properties, regardless of its size. This is one of the fundamental facts of chemistry.
- The deviant behaviour of small nanoparticles arises because of the emergence of quantum effects. The motion and behaviour of very small particles, like electrons, are radically different, and strange, when compared with any familiar object in normal human experience. Such strange behaviour at the sub-atomic level is described by the hugely successful Quantum Theory, developed by physicists 100 years ago. (Hence statement 1 is correct)
- But nanoparticles are much larger compared with atoms. Depending on the size of the atom, a nanoparticle can pack in thousands to millions of atoms. (Hence statement 2 is incorrect)
- Nano-sized particles that behaved slightly differently than larger particles of the same element. These nanoparticles with special properties were called quantum dots
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Question 15 of 35
15. Question
Consider the following statements regarding Carbon nanotubes:
- They have extraordinary electrical conductivity, heat conductivity and mechanical properties.
- They can be used in the manufacturing of bullet proof jackets, vehicles.
- They can be recycled.
How many of the above statements are correct?
Correct
Solution (c)
Carbon nanotubes (CNTs)
- Carbon nanotubes (CNTs) are cylindrical molecules that consist of rolled-up sheets of single-layer carbon atoms (graphene).
- They can be single-walled (SWCNT) with a diameter measured to less than 1 nanometer (nm).
- They are very lightweight, almost 1/6th of the steel with a mechanical tensile strength of almost 400 times that of steel.
Applications of Carbon nanotubes (CNTs)
- Carbon Nanotubes can be used as carriers of drugs and antigens in the human body.
- The main applications of CNTs in pharmacy and medicine include drug, biomolecule, gene delivery to cells or organs, tissue regeneration, and biosensor diagnostics and analysis.
- Because carbon nanotubes have such a high surface area and they go into the cell by the millions, you can have a very high efficiency of delivery to a specific cell.
- Carbon Nanotubes can be made into artificial blood capillaries for an injured part of human body as they are promising drug delivery platforms that can be functionalized with a variety of biomolecules, such as antibodies, proteins, or DNA.
- CNTs can be used as drug carriers to treat tumors.
- It is expected that this enabling technology would facilitate the making of nanodevices using these blood-compatible nanomaterials as building blocks for biomedical applications such as artificial implants, including structural tissue replacements, that is, artificial blood vessels, or functional devices such as drug delivery matrixes.
- Carbon nanotubes are biodegradable.
- Bacteria, fungi and other multiple types of microbes have the ability to degrade carbon nanotubes (CNTs), graphene (GRA), and their derivatives and in the future more species with this ability will be found
Hence all the statements are correct.
Incorrect
Solution (c)
Carbon nanotubes (CNTs)
- Carbon nanotubes (CNTs) are cylindrical molecules that consist of rolled-up sheets of single-layer carbon atoms (graphene).
- They can be single-walled (SWCNT) with a diameter measured to less than 1 nanometer (nm).
- They are very lightweight, almost 1/6th of the steel with a mechanical tensile strength of almost 400 times that of steel.
Applications of Carbon nanotubes (CNTs)
- Carbon Nanotubes can be used as carriers of drugs and antigens in the human body.
- The main applications of CNTs in pharmacy and medicine include drug, biomolecule, gene delivery to cells or organs, tissue regeneration, and biosensor diagnostics and analysis.
- Because carbon nanotubes have such a high surface area and they go into the cell by the millions, you can have a very high efficiency of delivery to a specific cell.
- Carbon Nanotubes can be made into artificial blood capillaries for an injured part of human body as they are promising drug delivery platforms that can be functionalized with a variety of biomolecules, such as antibodies, proteins, or DNA.
- CNTs can be used as drug carriers to treat tumors.
- It is expected that this enabling technology would facilitate the making of nanodevices using these blood-compatible nanomaterials as building blocks for biomedical applications such as artificial implants, including structural tissue replacements, that is, artificial blood vessels, or functional devices such as drug delivery matrixes.
- Carbon nanotubes are biodegradable.
- Bacteria, fungi and other multiple types of microbes have the ability to degrade carbon nanotubes (CNTs), graphene (GRA), and their derivatives and in the future more species with this ability will be found
Hence all the statements are correct.
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Question 16 of 35
16. Question
Consider the following statements
Statement-I :
Vyommitra is a half-humanoid being developed by the Indian Space Research Organisation (ISRO).
Statement-II :
Sophia is a social humanoid robot developed by Space X.
Which one of the following is correct in respect of the above statements?
Correct
Solution (c)
Humanoid robot with its body shape built to resemble the human body. Vyommitra, a half-humanoid is being developed by the Indian Space Research Organisation (ISRO) for an unmanned space mission later in 2020. Hence, statement 1 is true.
Sophia is a social humanoid robot developed by Hong Kong-based company Hanson Robotics. Sophia was activated on February 14, 2016, and made her first public appearance at South by Southwest Festival (SXSW) in mid-March 2016 in Austin, Texas, United States. Hence, statement 2 is false.
Incorrect
Solution (c)
Humanoid robot with its body shape built to resemble the human body. Vyommitra, a half-humanoid is being developed by the Indian Space Research Organisation (ISRO) for an unmanned space mission later in 2020. Hence, statement 1 is true.
Sophia is a social humanoid robot developed by Hong Kong-based company Hanson Robotics. Sophia was activated on February 14, 2016, and made her first public appearance at South by Southwest Festival (SXSW) in mid-March 2016 in Austin, Texas, United States. Hence, statement 2 is false.
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Question 17 of 35
17. Question
Which of the following statements about ‘Quantum Mechanics’ is incorrect:
Correct
Solution (a)
- Quantum entanglement allows particles to be correlated in such a way that the state of one particle can influence the state of another, regardless of the distance between them. (Hence statement 1 is incorrect)
- Heisenberg’s Uncertainty Principle is a fundamental concept in quantum mechanics, stating that the more precisely you know the position of a particle, the less precisely you can know its momentum (and vice versa). This is not a limitation due to measurement devices but is inherent in the nature of quantum systems.
- Quantum superposition is a concept where a particle can exist in multiple states simultaneously until a measurement is made, at which point it ‘collapses’ into one of the possible states. This is a fundamental aspect of quantum mechanics.
- Quantum tunneling is a real phenomenon in quantum mechanics where particles can pass through energy barriers that classical physics would consider impenetrable. This occurs due to the probabilistic nature of quantum states, allowing particles to ‘tunnel’ through barriers they wouldn’t be able to overcome classically.
Incorrect
Solution (a)
- Quantum entanglement allows particles to be correlated in such a way that the state of one particle can influence the state of another, regardless of the distance between them. (Hence statement 1 is incorrect)
- Heisenberg’s Uncertainty Principle is a fundamental concept in quantum mechanics, stating that the more precisely you know the position of a particle, the less precisely you can know its momentum (and vice versa). This is not a limitation due to measurement devices but is inherent in the nature of quantum systems.
- Quantum superposition is a concept where a particle can exist in multiple states simultaneously until a measurement is made, at which point it ‘collapses’ into one of the possible states. This is a fundamental aspect of quantum mechanics.
- Quantum tunneling is a real phenomenon in quantum mechanics where particles can pass through energy barriers that classical physics would consider impenetrable. This occurs due to the probabilistic nature of quantum states, allowing particles to ‘tunnel’ through barriers they wouldn’t be able to overcome classically.
-
Question 18 of 35
18. Question
With reference to Augmented Reality (AR), consider the following statements:
- Augmented Reality (AR) allows users to interact with both the physical and digital worlds.
- AR content cannot be shown on projectors.
Which of the statements given above is/are correct?
Correct
Solution (a)
Augmented Reality (AR) overlays digital content onto real-life environments and objects. AR works by superimposing digital information onto real-world objects to create a 3D experience that allows users to interact with both the physical and digital worlds. Hence, statement 1 is true.
AR content can also be shown on projectors. Hence, statement 2 is false.
Incorrect
Solution (a)
Augmented Reality (AR) overlays digital content onto real-life environments and objects. AR works by superimposing digital information onto real-world objects to create a 3D experience that allows users to interact with both the physical and digital worlds. Hence, statement 1 is true.
AR content can also be shown on projectors. Hence, statement 2 is false.
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Question 19 of 35
19. Question
With reference to Graphene, consider the following statements:
- It is considered to be the world’s thinnest material.
- It does not conduct heat.
- It is 200 times stronger than steel.
How many of the above statements are incorrect?
Correct
Solution (a)
Graphene is a one-atom-thick sheet of carbon atoms arranged in a honeycomb-like pattern. Graphene is considered to be the world’s thinnest, strongest. Hence, statement 1 is true.
It is the most conductive material – of both electricity and heat. Hence, statement 2 is false.
It is 200 times stronger than steel. Hence, statement 3 is true.
Incorrect
Solution (a)
Graphene is a one-atom-thick sheet of carbon atoms arranged in a honeycomb-like pattern. Graphene is considered to be the world’s thinnest, strongest. Hence, statement 1 is true.
It is the most conductive material – of both electricity and heat. Hence, statement 2 is false.
It is 200 times stronger than steel. Hence, statement 3 is true.
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Question 20 of 35
20. Question
Consider the following statements
Statement-I:
Nanochips are used to check plaque in arteries.
Statement-II:
Nanocarriers can be used for eye surgery.
Which one of the following is correct with respect to the above statements?
Correct
Solution (b)
Uses of Nanotechnology in Health Care:-
Nanotech detectors for heart attack.
Nanochips to check plaque in arteries. Hence, statement 1 is true.
Nanocarriers for eye surgery, chemotherapy etc. Hence, statement 2 is true.
Incorrect
Solution (b)
Uses of Nanotechnology in Health Care:-
Nanotech detectors for heart attack.
Nanochips to check plaque in arteries. Hence, statement 1 is true.
Nanocarriers for eye surgery, chemotherapy etc. Hence, statement 2 is true.
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Question 21 of 35
21. Question
Consider the following statements about the provisions of the MTP Amendment Act of 2021:
- In the case of failure of contraceptive method or device, a pregnancy may be terminated up to 20 weeks by a married woman.
- The opinion of the State-level medical board is essential for a pregnancy to be terminated after 16 weeks of gestation.
- It increases the upper gestation limit from 20 to 24 weeks for special categories of women.
How many of the above statements are correct?
Correct
Solution (b)
The provisions of the MTP Amendment Act of 2021:
- In the case of failure of contraceptive method or device, a pregnancy may be terminated up to 20 weeks by a married woman. Hence statement 1 is correct.
- It allows unmarried women to also terminate a pregnancy for this reason.
- Opinion of one Registered Medical Practitioner (RMP) for termination of pregnancy up to 20 weeks of gestation.
- Opinion of two RMPs for termination of pregnancy of 20-24 weeks of gestation.
- The opinion of the State-level medical board is essential for a pregnancy to be terminated after 24 weeks in case of substantial foetal abnormalities. Hence statement 2 is incorrect.
- It increases the upper gestation limit from 20 to 24 weeks for special categories of women, including survivors of rape, victims of incest, and other vulnerable women (differently abled women, minors, among others). Hence statement 3 is correct.
- The “name and other particulars of a woman whose pregnancy has been terminated shall not be revealed”, except to a person authorised in any law that is currently in force.
Incorrect
Solution (b)
The provisions of the MTP Amendment Act of 2021:
- In the case of failure of contraceptive method or device, a pregnancy may be terminated up to 20 weeks by a married woman. Hence statement 1 is correct.
- It allows unmarried women to also terminate a pregnancy for this reason.
- Opinion of one Registered Medical Practitioner (RMP) for termination of pregnancy up to 20 weeks of gestation.
- Opinion of two RMPs for termination of pregnancy of 20-24 weeks of gestation.
- The opinion of the State-level medical board is essential for a pregnancy to be terminated after 24 weeks in case of substantial foetal abnormalities. Hence statement 2 is incorrect.
- It increases the upper gestation limit from 20 to 24 weeks for special categories of women, including survivors of rape, victims of incest, and other vulnerable women (differently abled women, minors, among others). Hence statement 3 is correct.
- The “name and other particulars of a woman whose pregnancy has been terminated shall not be revealed”, except to a person authorised in any law that is currently in force.
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Question 22 of 35
22. Question
Consider the following statements:
- Global Maritime India Summit is organized by the United Nations Convention on the Law of the Sea (UNCLOS).
- Amrit Kaal Vision 2047 is a 25-year blueprint for the Indian maritime blue economy.
Which of the statements given above is/are correct?
Correct
Solution (b)
- Global Maritime India Summit is organized by the Ministry of Ports, Shipping, and Waterways. Hence statement 1 is incorrect.
- It aims to boost the Indian maritime economy by promoting global and regional partnerships and facilitating investments.
- The first Maritime India Summit was held in 2016 in Mumbai while the Second Maritime Summit was held virtually in 2021. The Third Maritime India Summit was held in 2023.
- Amrit Kaal Vision 2047 is a 25-year blueprint for the Indian maritime blue economy. Hence statement 2 is correct.
- It outlines strategic initiatives aimed at enhancing port facilities, promoting sustainable practices, and facilitating international collaboration.
Incorrect
Solution (b)
- Global Maritime India Summit is organized by the Ministry of Ports, Shipping, and Waterways. Hence statement 1 is incorrect.
- It aims to boost the Indian maritime economy by promoting global and regional partnerships and facilitating investments.
- The first Maritime India Summit was held in 2016 in Mumbai while the Second Maritime Summit was held virtually in 2021. The Third Maritime India Summit was held in 2023.
- Amrit Kaal Vision 2047 is a 25-year blueprint for the Indian maritime blue economy. Hence statement 2 is correct.
- It outlines strategic initiatives aimed at enhancing port facilities, promoting sustainable practices, and facilitating international collaboration.
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Question 23 of 35
23. Question
Consider the following statements:
- Jageshwar Temples were built between the 7th and 14th centuries in the Dravida style of architecture by the Katyuri dynasty.
- Parvati Kund located in Uttarakhand is believed to be the location where Lord Shiva and Goddess Parvati engaged in meditation.
Which of the statements given above is/are correct?
Correct
Solution (b)
- Jageshwar Temples were built between the 7th and 14th centuries in the Nagara style of architecture by the Katyuri dynasty. Hence statement 1 is incorrect.
- It is a Hindu pilgrimage town in the Almora district of Uttarakhand. These temples are dedicated to various deities with many honouring Lord Shiva.
- The temples are characterized by intricately carved stone structures and tall shikhara.
- The engravings and sculptures on the temple walls depict various deities and mythological narratives, offering a glimpse into the rich cultural heritage of the region.
- Parvati Kund located in Uttarakhand is believed to be the location where Lord Shiva and Goddess Parvati engaged in meditation. Hence statement 2 is correct.
Incorrect
Solution (b)
- Jageshwar Temples were built between the 7th and 14th centuries in the Nagara style of architecture by the Katyuri dynasty. Hence statement 1 is incorrect.
- It is a Hindu pilgrimage town in the Almora district of Uttarakhand. These temples are dedicated to various deities with many honouring Lord Shiva.
- The temples are characterized by intricately carved stone structures and tall shikhara.
- The engravings and sculptures on the temple walls depict various deities and mythological narratives, offering a glimpse into the rich cultural heritage of the region.
- Parvati Kund located in Uttarakhand is believed to be the location where Lord Shiva and Goddess Parvati engaged in meditation. Hence statement 2 is correct.
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Question 24 of 35
24. Question
Which of the following parasites causes Lymphatic Filariasis?
- Wuchereria bancrofti
- Brugia malayi
- Brugia timori
Choose the correct code:
Correct
Solution (c)
Lymphatic filariasis commonly known as elephantiasis is a neglected tropical disease. It occurs when filarial parasites are transmitted to humans through mosquitoes. It involves asymptomatic, acute, and chronic conditions. In chronic conditions, it leads to lymphoedema (tissue swelling) or elephantiasis (skin/tissue thickening) of limbs and hydrocele (scrotal swelling). It is caused by infection with parasites classified as nematodes (roundworms) of the family Filariodidea. There are 3 types of these thread-like filarial worms:
- Wuchereria bancrofti, which is responsible for 90% of the cases.
- Brugia malayi, which causes most of the remainder of the cases.
- Brugia timori, which also causes the disease.
Hence option c is correct.
Incorrect
Solution (c)
Lymphatic filariasis commonly known as elephantiasis is a neglected tropical disease. It occurs when filarial parasites are transmitted to humans through mosquitoes. It involves asymptomatic, acute, and chronic conditions. In chronic conditions, it leads to lymphoedema (tissue swelling) or elephantiasis (skin/tissue thickening) of limbs and hydrocele (scrotal swelling). It is caused by infection with parasites classified as nematodes (roundworms) of the family Filariodidea. There are 3 types of these thread-like filarial worms:
- Wuchereria bancrofti, which is responsible for 90% of the cases.
- Brugia malayi, which causes most of the remainder of the cases.
- Brugia timori, which also causes the disease.
Hence option c is correct.
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Question 25 of 35
25. Question
Which of the following reports were released during the sixth assembly of the International Solar Alliance?
- World Solar Technology Report 2023
- World Solar Investment Report 2023
- World Solar Market Report 2023
How many of the above statements are correct?
Correct
Solution (c)
The following reports are released during the sixth assembly of the International Solar Alliance:
- World Solar Technology Report 2023: It focuses on solar photovoltaics (solar PV) and specifically highlights advancements in crystalline silicon technology.
- World Solar Investment Report 2023: It shows that investment in solar power went up a lot in 2022, to more than $300 billion.
- World Solar Market Report 2023: It looks at how the solar power market has changed over time. It started in Europe but now the Asia-Pacific region is leading.
Hence option c is correct.
Incorrect
Solution (c)
The following reports are released during the sixth assembly of the International Solar Alliance:
- World Solar Technology Report 2023: It focuses on solar photovoltaics (solar PV) and specifically highlights advancements in crystalline silicon technology.
- World Solar Investment Report 2023: It shows that investment in solar power went up a lot in 2022, to more than $300 billion.
- World Solar Market Report 2023: It looks at how the solar power market has changed over time. It started in Europe but now the Asia-Pacific region is leading.
Hence option c is correct.
-
Question 26 of 35
26. Question
Consider the following statements:
- Tilapia parvovirus (TiPV) is a small, nonenveloped, multi-stranded RNA virus.
- Tilapia are mainly freshwater fish that inhabit shallow streams, ponds, rivers, and lakes.
Which of the statements given above is/are correct?
Correct
Solution (b)
- Tilapia parvovirus (TiPV) is a small, nonenveloped, single-stranded DNA (ssDNA) virus. Hence statement 1 is incorrect.
- The virus affects Tilapia, a freshwater fish species. The virus was first reported in China in 2019 and Thailand in 2021. India is the third country to report the occurrence of TiPV. It has a mortality rate ranging from 30 to 50% in the farm and 100% mortality in the laboratory.
- Tilapia are mainly freshwater fish that inhabit shallow streams, ponds, rivers, and lakes. Hence statement 2 is correct.
- Mozambique tilapia was introduced to Indian freshwater bodies in the 1950s and it is called Jilabi in Tamil. It is capable of surviving in low oxygen levels in the water. The fish has turned invasive across the country.
- Nile tilapia was introduced in the 1970s. It is a little bigger and is cultured on a large scale.
- Among the tilapia species, the Indian government had authorized the import of only Oreochromis niloticus in 1970 and red hybrids because of their fast growth and market demand.
Incorrect
Solution (b)
- Tilapia parvovirus (TiPV) is a small, nonenveloped, single-stranded DNA (ssDNA) virus. Hence statement 1 is incorrect.
- The virus affects Tilapia, a freshwater fish species. The virus was first reported in China in 2019 and Thailand in 2021. India is the third country to report the occurrence of TiPV. It has a mortality rate ranging from 30 to 50% in the farm and 100% mortality in the laboratory.
- Tilapia are mainly freshwater fish that inhabit shallow streams, ponds, rivers, and lakes. Hence statement 2 is correct.
- Mozambique tilapia was introduced to Indian freshwater bodies in the 1950s and it is called Jilabi in Tamil. It is capable of surviving in low oxygen levels in the water. The fish has turned invasive across the country.
- Nile tilapia was introduced in the 1970s. It is a little bigger and is cultured on a large scale.
- Among the tilapia species, the Indian government had authorized the import of only Oreochromis niloticus in 1970 and red hybrids because of their fast growth and market demand.
-
Question 27 of 35
27. Question
Which of the following pollutants are covered by the Air Quality Index (AQI)?
- Ammonia
- Ozone
- Lead
- Sulphur dioxide
Choose the correct code:
Correct
Solution (d)
- The Air Quality Index (AQI) is a number used by government agencies to measure air pollution levels and communicate it to the population.
- There are six AQI categories, namely Good, Satisfactory, moderately polluted, Poor, Very Poor, and Severe.
- As the AQI increases, it means that a large percentage of the population will experience severe adverse health effects.
- AQI has been developed for eight pollutants viz. PM2.5, PM10, Ammonia, Lead, Nitrogen oxides, Sulphur dioxide, Ozone, and Carbon monoxide. Hence option d is correct.
Incorrect
Solution (d)
- The Air Quality Index (AQI) is a number used by government agencies to measure air pollution levels and communicate it to the population.
- There are six AQI categories, namely Good, Satisfactory, moderately polluted, Poor, Very Poor, and Severe.
- As the AQI increases, it means that a large percentage of the population will experience severe adverse health effects.
- AQI has been developed for eight pollutants viz. PM2.5, PM10, Ammonia, Lead, Nitrogen oxides, Sulphur dioxide, Ozone, and Carbon monoxide. Hence option d is correct.
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Question 28 of 35
28. Question
Consider the following:
Venus Mission Country - Akatsuki
China - VERITAS
United States - Shukrayaan I
India - EnVision
Europe Which of the given pairs are correctly matched?
Correct
Solution (c)
Venus Mission Country 1. Akatsuki Japan 2. VERITAS 3. Mariner series
4. Pioneer Venus 1 and Pioneer Venus 2
5. Magellan
United States 6. Shukrayaan I India 7. EnVision 8. Venus Express
Europe Hence option c is correct.
Incorrect
Solution (c)
Venus Mission Country 1. Akatsuki Japan 2. VERITAS 3. Mariner series
4. Pioneer Venus 1 and Pioneer Venus 2
5. Magellan
United States 6. Shukrayaan I India 7. EnVision 8. Venus Express
Europe Hence option c is correct.
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Question 29 of 35
29. Question
Consider the following statements about Shri Ambaji Mata Temple:
- It is considered one of the 12 major Shakti Peethas in Hinduism located in West Bengal.
- It was constructed by the Suriyavan Emperor Arun Sen in the 4th Century AD.
Which of the statements given above is/are correct?
Correct
Solution (b)
- Shri Ambaji Mata Temple is considered one of the 12 major Shakti Peethas in Hinduism located in Gujarat. Hence statement 1 is incorrect.
- It is a famous pilgrimage place of Gujarat in India and is situated on the border of the States of Gujarat and Rajasthan.
- There are 12 main Shakti Peetha Tirth, significant places of pilgrimage for the worship of Shakti, namely, Ma Bhagwati Mahakali Maha Shakti at Ujjain, Ma Kamakshi at Kanchipuram, Mata Bramaramba at Srisailam, Shri Kumarika at Kanyakumari,Mataji Ambaji at Gujarat, Mata Mahalaxmidevi at Kolhapur, Devi Lalita at Prayag, Vindhya Vasini at Vindhya, Vishalakshi at Varanasi, Mangalavati at Gaya and Sundari at Bangal and Guhyeshwari Temple in Nepal.
- It was constructed by the Suriyavan Emperor Arun Sen in the 4th Century AD. Hence statement 2 is correct.
- It is best known for its festivals like Navratri and Diwali, celebrated with joyous ceremonies and poojas.
- The main temple complex houses the revered Shree Visa Yantra, which many believe symbolizes divine power and grace.
Incorrect
Solution (b)
- Shri Ambaji Mata Temple is considered one of the 12 major Shakti Peethas in Hinduism located in Gujarat. Hence statement 1 is incorrect.
- It is a famous pilgrimage place of Gujarat in India and is situated on the border of the States of Gujarat and Rajasthan.
- There are 12 main Shakti Peetha Tirth, significant places of pilgrimage for the worship of Shakti, namely, Ma Bhagwati Mahakali Maha Shakti at Ujjain, Ma Kamakshi at Kanchipuram, Mata Bramaramba at Srisailam, Shri Kumarika at Kanyakumari,Mataji Ambaji at Gujarat, Mata Mahalaxmidevi at Kolhapur, Devi Lalita at Prayag, Vindhya Vasini at Vindhya, Vishalakshi at Varanasi, Mangalavati at Gaya and Sundari at Bangal and Guhyeshwari Temple in Nepal.
- It was constructed by the Suriyavan Emperor Arun Sen in the 4th Century AD. Hence statement 2 is correct.
- It is best known for its festivals like Navratri and Diwali, celebrated with joyous ceremonies and poojas.
- The main temple complex houses the revered Shree Visa Yantra, which many believe symbolizes divine power and grace.
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Question 30 of 35
30. Question
Which of the following countries shares a land border with Oman?
- Iran
- Yemen
- Saudi Arabia
Choose the correct code:
Correct
Solution (b)
Oman shares a land border with Saudi Arabia, the United Arab Emirates, and Yemen while sharing maritime borders with Iran and Pakistan. The capital and largest city is Muscat. Hence option b is correct.
Image Source: World Atlas
Incorrect
Solution (b)
Oman shares a land border with Saudi Arabia, the United Arab Emirates, and Yemen while sharing maritime borders with Iran and Pakistan. The capital and largest city is Muscat. Hence option b is correct.
Image Source: World Atlas
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Question 31 of 35
31. Question
If 12 + 22 + 32 + …….. + 102 + 112 + 122 = 650, then 5 + 20 + 45 + ….. + 500 + 605 + 720 will be equal to
Correct
Solution (c)
12 + 22 + 32 + …….. + 102 + 112 + 122 = 650
According to the question, we have to find out:
5 + 20 + 45 + …… + 500 + 605 + 720
5(1 + 4 + 9 + …… + 100 + 121 = 144)
5 (12 + 22 + 32 +……+ 102 + 112 + 122)
5*650
3250
Incorrect
Solution (c)
12 + 22 + 32 + …….. + 102 + 112 + 122 = 650
According to the question, we have to find out:
5 + 20 + 45 + …… + 500 + 605 + 720
5(1 + 4 + 9 + …… + 100 + 121 = 144)
5 (12 + 22 + 32 +……+ 102 + 112 + 122)
5*650
3250
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Question 32 of 35
32. Question
76n – 66n, where n is an integer >0, is divisible by
Correct
Solution (d)
76n−66n
= 76−66
= (73)2−(63)2
= (73−63)(73+63)
= (343−216)×(343+216)
= 127×559
= 127×13×43
Clearly, it is divisible by 127, 13 as well as 559
Incorrect
Solution (d)
76n−66n
= 76−66
= (73)2−(63)2
= (73−63)(73+63)
= (343−216)×(343+216)
= 127×559
= 127×13×43
Clearly, it is divisible by 127, 13 as well as 559
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Question 33 of 35
33. Question
10 students are to be seated in two rows equally for the mock test in a room. There are two sets of papers, Code A and Code B, each of two rows can have only one set of paper but different that from other row. In how many ways these students can be arranged?
Correct
Solution (c)
5 students can be seated out of 10 students in 10C5 ways
Remaining 5 will be seated in,
= 5C5 ways
Students of each row can be arranged as,
= 5! × 5! ways
Two sets of paper can be arranged themselves in,
= 2! ways
Thus, Total arrangement,
= 10C5 × 5! × 5! × 2
= 7257600
Incorrect
Solution (c)
5 students can be seated out of 10 students in 10C5 ways
Remaining 5 will be seated in,
= 5C5 ways
Students of each row can be arranged as,
= 5! × 5! ways
Two sets of paper can be arranged themselves in,
= 2! ways
Thus, Total arrangement,
= 10C5 × 5! × 5! × 2
= 7257600
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Question 34 of 35
34. Question
In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is
Correct
Solution (a)
Let total teams playing be x
Total matches played=153
Total matches played with 2 Teams with each other is 1.
Therefore total matches = x(x−1) /2=153
x(x−1)=306
x ^2 −x−306=0
x=18
Incorrect
Solution (a)
Let total teams playing be x
Total matches played=153
Total matches played with 2 Teams with each other is 1.
Therefore total matches = x(x−1) /2=153
x(x−1)=306
x ^2 −x−306=0
x=18
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Question 35 of 35
35. Question
A heap of pebbles when made up into group of 32, 40, 72, leaves the remainder 10, 18 and 50 respectively. Find least number of pebbles in the heaps.
Correct
Solution (c)
In this type of problem we find the difference of divisors and their remainders.
Here difference,
32 – 10 = 22
40 – 18 = 22
72 – 50 = 22
Here, in each case difference is same i.e. 22
Then required number of pebbles is given by
[(LCM of 32, 40, 72) -22]
32 = 2 × 2 × 2 × 2 × 2
40 = 2 × 2 × 2 × 5
72 = 2 × 2 × 2 × 3 × 3
Hence,
LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1440
Thus,
Required number of pebbles,
= 1440 – 22
= 1418
Incorrect
Solution (c)
In this type of problem we find the difference of divisors and their remainders.
Here difference,
32 – 10 = 22
40 – 18 = 22
72 – 50 = 22
Here, in each case difference is same i.e. 22
Then required number of pebbles is given by
[(LCM of 32, 40, 72) -22]
32 = 2 × 2 × 2 × 2 × 2
40 = 2 × 2 × 2 × 5
72 = 2 × 2 × 2 × 3 × 3
Hence,
LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1440
Thus,
Required number of pebbles,
= 1440 – 22
= 1418
All the Best
IASbaba