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Question 1 of 15
1. Question
1 pointsWith reference to the administrative structure of the Mauryan Empire, consider the following pairs:
Officer Function/Department 1. Akshapataladhyaksha Superintendent of Accounts 2. Sitadhyaksha Superintendent of Agriculture 3. Pautavadhyaksha Superintendent of Weights and Measures 4. Sansthadhyaksha Superintendent of Religious Institutions How many of the pairs given above are correctly matched?
Correct
Answer: (c)
Explanation:
- Pair 1 is correctly matched: The Akshapataladhyaksha was indeed the Superintendent of Accounts and was responsible for maintaining the state’s records and accounts.
- Pair 2 is correctly matched: The Sitadhyaksha was the Superintendent of Agriculture, specifically in charge of the crown lands (Sita).
- Pair 3 is correctly matched: The Pautavadhyaksha was the Superintendent of Weights and Measures, ensuring standardization in trade and commerce.
- Pair 4 is incorrectly matched: The Sansthadhyaksha was actually the Superintendent of Markets or trade routes, responsible for regulating commerce. The oversight of religious institutions or charities was typically the domain of the Devatadhyaksha.
Incorrect
Answer: (c)
Explanation:
- Pair 1 is correctly matched: The Akshapataladhyaksha was indeed the Superintendent of Accounts and was responsible for maintaining the state’s records and accounts.
- Pair 2 is correctly matched: The Sitadhyaksha was the Superintendent of Agriculture, specifically in charge of the crown lands (Sita).
- Pair 3 is correctly matched: The Pautavadhyaksha was the Superintendent of Weights and Measures, ensuring standardization in trade and commerce.
- Pair 4 is incorrectly matched: The Sansthadhyaksha was actually the Superintendent of Markets or trade routes, responsible for regulating commerce. The oversight of religious institutions or charities was typically the domain of the Devatadhyaksha.
-
Question 2 of 15
2. Question
1 pointsWith reference to the religious history of India, consider the following statements regarding the Ajivika sect:
- It was founded by Makkhali Gosala, a contemporary of Gautama Buddha.
- The sect believed in the doctrine of Niyati (Fatalism), suggesting that human effort has no impact on the cosmic order.
- The Barabar Caves in Bihar were specifically dedicated to this sect by the Mauryan Emperor Dasharatha.
Which of the statements given above are correct?
Correct
Answer: (d)
Explanation:
- Statement 1 is correct: Makkhali Gosala was the most prominent leader of the Ajivikas and was a contemporary of both Gautama Buddha and Mahavira.
- Statement 2 is correct: The central tenet of the Ajivika philosophy was Niyati (Absolute Determinism or Fatalism). They believed that the entire universe was governed by a pre-ordained destiny and that human action (Karma) or effort (Purushartha) could not change one’s fate.
- Statement 3 is correct: While Emperor Ashoka also dedicated caves to the Ajivikas (such as the Lomas Rishi cave), his grandson, Emperor Dasharatha, specifically dedicated several caves in the Barabar and Nagarjuni hills (like the Gopika Cave) to the Ajivika sect.
Incorrect
Answer: (d)
Explanation:
- Statement 1 is correct: Makkhali Gosala was the most prominent leader of the Ajivikas and was a contemporary of both Gautama Buddha and Mahavira.
- Statement 2 is correct: The central tenet of the Ajivika philosophy was Niyati (Absolute Determinism or Fatalism). They believed that the entire universe was governed by a pre-ordained destiny and that human action (Karma) or effort (Purushartha) could not change one’s fate.
- Statement 3 is correct: While Emperor Ashoka also dedicated caves to the Ajivikas (such as the Lomas Rishi cave), his grandson, Emperor Dasharatha, specifically dedicated several caves in the Barabar and Nagarjuni hills (like the Gopika Cave) to the Ajivika sect.
-
Question 3 of 15
3. Question
1 pointsIn the context of ancient Indian literature and science, which one of the following statements is correct?
Correct
Answer: (b)
Explanation:
- Statement (a) is incorrect: The Sulba Sutras are actually part of the Kalpa Sutras and deal with the complex geometry required for the construction of Vedic sacrificial altars (Vedi). They contain early mathematical principles, including a version of what is now known as the Pythagorean theorem.
- Statement (b) is correct: Varahamihira was a 6th-century polymath. His Brihat Samhita is an expansive Sanskrit encyclopedia that covers a vast range of topics including planetary movements, eclipses, rainfall, clouds, architecture, and even the quality of gemstones.
- Statement (c) is incorrect: While Aryabhata’s Aryabhatiya (5th century AD) used a decimal place-value system and recognized the concept of zero, it was not the first time Shunya appeared as a numeral in world history. Earlier evidence exists in the Bakhshali Manuscript, and the formal mathematical rules for zero were later detailed extensively by Brahmagupta.
- Statement (d) is incorrect: The Sushruta Samhita is fundamentally a foundational text on medicine and surgery. It is world-renowned for its detailed descriptions of surgical procedures, including rhinoplasty (plastic surgery) and the removal of cataracts, rather than being a purely philosophical work.
Incorrect
Answer: (b)
Explanation:
- Statement (a) is incorrect: The Sulba Sutras are actually part of the Kalpa Sutras and deal with the complex geometry required for the construction of Vedic sacrificial altars (Vedi). They contain early mathematical principles, including a version of what is now known as the Pythagorean theorem.
- Statement (b) is correct: Varahamihira was a 6th-century polymath. His Brihat Samhita is an expansive Sanskrit encyclopedia that covers a vast range of topics including planetary movements, eclipses, rainfall, clouds, architecture, and even the quality of gemstones.
- Statement (c) is incorrect: While Aryabhata’s Aryabhatiya (5th century AD) used a decimal place-value system and recognized the concept of zero, it was not the first time Shunya appeared as a numeral in world history. Earlier evidence exists in the Bakhshali Manuscript, and the formal mathematical rules for zero were later detailed extensively by Brahmagupta.
- Statement (d) is incorrect: The Sushruta Samhita is fundamentally a foundational text on medicine and surgery. It is world-renowned for its detailed descriptions of surgical procedures, including rhinoplasty (plastic surgery) and the removal of cataracts, rather than being a purely philosophical work.
-
Question 4 of 15
4. Question
1 pointsConsider the following pairs of ancient ports and their locations/dynastic associations:
Port Region/Association 1. Barbaricum Indus Delta 2. Poduke Coromandel Coast (Arikamedu) 3. Muziris Chera Kingdom 4. Tamralipti Eastern Coast (Bengal) How many of the pairs given above are correctly matched?
Correct
Answer: (d)
Explanation:
- Pair 1 is correctly matched: Barbaricum was a major port located at the mouth of the Indus Delta; it is frequently mentioned in the Periplus of the Erythraean Sea as a hub for the import of clothing, figured linens, and topazes, and the export of costus, bdellium, and turquoise.
- Pair 2 is correctly matched: Poduke is the name used by Greco-Roman writers to refer to Arikamedu, located on the Coromandel Coast near modern-day Puducherry. It was a significant center for Roman trade in India.
- Pair 3 is correctly matched: Muziris (modern-day Pattanam/Cranganore) was the most important seaport in the Chera Kingdom on the Malabar Coast (modern Kerala). It was the primary gateway for the global spice trade, particularly black pepper.
- Pair 4 is correctly matched: Tamralipti was the pre-eminent port on the Eastern Coast in the Bengal region (modern-day Tamluk, West Bengal). It served as the main exit point for maritime voyages to Southeast Asia and Sri Lanka during the Mauryan and Gupta periods.
Incorrect
Answer: (d)
Explanation:
- Pair 1 is correctly matched: Barbaricum was a major port located at the mouth of the Indus Delta; it is frequently mentioned in the Periplus of the Erythraean Sea as a hub for the import of clothing, figured linens, and topazes, and the export of costus, bdellium, and turquoise.
- Pair 2 is correctly matched: Poduke is the name used by Greco-Roman writers to refer to Arikamedu, located on the Coromandel Coast near modern-day Puducherry. It was a significant center for Roman trade in India.
- Pair 3 is correctly matched: Muziris (modern-day Pattanam/Cranganore) was the most important seaport in the Chera Kingdom on the Malabar Coast (modern Kerala). It was the primary gateway for the global spice trade, particularly black pepper.
- Pair 4 is correctly matched: Tamralipti was the pre-eminent port on the Eastern Coast in the Bengal region (modern-day Tamluk, West Bengal). It served as the main exit point for maritime voyages to Southeast Asia and Sri Lanka during the Mauryan and Gupta periods.
-
Question 5 of 15
5. Question
1 pointsWith reference to the development of Temple Architecture in India, consider the following statements:
- The Panchayatana style is characterized by a main shrine surrounded by four subsidiary shrines.
- The presence of a Shikhara (tower) became a standard feature of Indian temples starting from the early Kushana period.
- The Shore Temple at Mahabalipuram is one of the earliest examples of a free-standing structural temple in South India, departing from the rock-cut tradition.
Which of the statements given above is/are incorrect?
Correct
Answer: (a)
Explanation:
- Statement 1 is correct: The Panchayatana style is a specific arrangement in temple architecture where the main shrine is built on a central rectangular plinth and is surrounded by four smaller subsidiary shrines at the corners, making a total of five shrines. A famous example is the Dashavatara Temple at Deogarh.
- Statement 2 is incorrect: While the Kushana period saw significant developments in iconography, the Shikhara (mountain-like spire or tower) did not become a standard feature until the Gupta period. Early temples, such as Temple No. 17 at Sanchi, were typically flat-roofed; the evolution toward Shikharas is best seen in the later Gupta structures like the Bhitargaon temple.
- Statement 3 is correct: The Shore Temple at Mahabalipuram, built during the reign of the Pallava King Narasimhavarman II (Rajasimha), represents a significant shift from the rock-cut Ratha tradition to structural architecture. It is one of the oldest free-standing stone temples in South India, constructed using blocks of granite rather than being carved out of a single living rock.
Incorrect
Answer: (a)
Explanation:
- Statement 1 is correct: The Panchayatana style is a specific arrangement in temple architecture where the main shrine is built on a central rectangular plinth and is surrounded by four smaller subsidiary shrines at the corners, making a total of five shrines. A famous example is the Dashavatara Temple at Deogarh.
- Statement 2 is incorrect: While the Kushana period saw significant developments in iconography, the Shikhara (mountain-like spire or tower) did not become a standard feature until the Gupta period. Early temples, such as Temple No. 17 at Sanchi, were typically flat-roofed; the evolution toward Shikharas is best seen in the later Gupta structures like the Bhitargaon temple.
- Statement 3 is correct: The Shore Temple at Mahabalipuram, built during the reign of the Pallava King Narasimhavarman II (Rajasimha), represents a significant shift from the rock-cut Ratha tradition to structural architecture. It is one of the oldest free-standing stone temples in South India, constructed using blocks of granite rather than being carved out of a single living rock.
-
Question 6 of 15
6. Question
1 pointsConsider the following information regarding ancient archaeological sites:
Site Characteristic 1. Bagor Largest Mesolithic site in India 2. Mehrgarh Earliest evidence of agriculture and settled life 3. Chirand Neolithic site known for a large number of bone tools How many of the above rows are correctly matched?
Correct
Answer: (c)
Explanation:
- Row 1 is correctly matched: Bagor, located on the Kothari river in Rajasthan, is recognized as the largest Mesolithic site in India. It has provided significant evidence regarding the transition from hunting-gathering to the domestication of animals.
- Row 2 is correctly matched: Mehrgarh, situated in the Bolan Pass of Balochistan, is widely regarded as one of the most important Neolithic sites. It provides the earliest evidence in the Indian subcontinent of farming (specifically wheat and barley) and settled village life, dating back to approximately 7000 BC.
- Row 3 is correctly matched: Chirand, located in the Saran district of Bihar, is a unique Neolithic site. While most Neolithic sites in India are characterized by stone tools, Chirand is famous for a remarkably large collection of sophisticated tools made of bone and antler, particularly those belonging to deer.
Incorrect
Answer: (c)
Explanation:
- Row 1 is correctly matched: Bagor, located on the Kothari river in Rajasthan, is recognized as the largest Mesolithic site in India. It has provided significant evidence regarding the transition from hunting-gathering to the domestication of animals.
- Row 2 is correctly matched: Mehrgarh, situated in the Bolan Pass of Balochistan, is widely regarded as one of the most important Neolithic sites. It provides the earliest evidence in the Indian subcontinent of farming (specifically wheat and barley) and settled village life, dating back to approximately 7000 BC.
- Row 3 is correctly matched: Chirand, located in the Saran district of Bihar, is a unique Neolithic site. While most Neolithic sites in India are characterized by stone tools, Chirand is famous for a remarkably large collection of sophisticated tools made of bone and antler, particularly those belonging to deer.
-
Question 7 of 15
7. Question
1 pointsWhich of the following best describes the term Ghatika frequently mentioned in the context of South Indian history?
Correct
Answer: (a)
Explanation:
- Definition and Function: In the context of South Indian history, particularly during the Pallava and Kadamba periods, a Ghatika was a center of higher learning or a Brahmanical college.
- Association with Temples: These institutions were frequently attached to temples and served as significant hubs for religious and secular education.
- Historical Examples:
- The most famous Ghatika was located at Kanchi (the Pallava capital), which attracted scholars from far and wide.
- Historical inscriptions mention that Mayurasharman, the founder of the Kadamba dynasty, went to the Ghatika at Kanchi to study the Vedas.
- Other Options:
- A water clock (clepsydra) used in ancient India was sometimes called a Ghatika-yantra, but in the specific administrative and social context of South Indian history, the term Ghatika almost exclusively refers to the educational assemblies.
- Units of land measurement (like Veli or Ma) and merchant guilds (like Nanadesi or Ayyavole) had distinct names and do not correspond to the term Ghatika.
Incorrect
Answer: (a)
Explanation:
- Definition and Function: In the context of South Indian history, particularly during the Pallava and Kadamba periods, a Ghatika was a center of higher learning or a Brahmanical college.
- Association with Temples: These institutions were frequently attached to temples and served as significant hubs for religious and secular education.
- Historical Examples:
- The most famous Ghatika was located at Kanchi (the Pallava capital), which attracted scholars from far and wide.
- Historical inscriptions mention that Mayurasharman, the founder of the Kadamba dynasty, went to the Ghatika at Kanchi to study the Vedas.
- Other Options:
- A water clock (clepsydra) used in ancient India was sometimes called a Ghatika-yantra, but in the specific administrative and social context of South Indian history, the term Ghatika almost exclusively refers to the educational assemblies.
- Units of land measurement (like Veli or Ma) and merchant guilds (like Nanadesi or Ayyavole) had distinct names and do not correspond to the term Ghatika.
-
Question 8 of 15
8. Question
1 pointsWith reference to the evolution of Buddhism, the Yogachara or Vijnanavada school of thought is primarily associated with:
Correct
Answer: (a)
Explanation:
- Core Philosophy: The Yogachara school (also known as Vijnanavada) is a major philosophical tradition of Mahayana Buddhism. Its name, Vijnanavada, literally means the Doctrine of Consciousness, reflecting its central belief that only Vijnana (consciousness or mind) has ultimate reality.
- The Mind-Only View: The school posits that what we perceive as the external world is actually a projection of our own consciousness. Therefore, the subject-object duality is considered an illusion.
- Key Figures: This school was founded by the brothers Asanga and Vasubandhu in the 4th or 5th century AD.
- Relationship with Other Schools:
- It does not reject the concept of Sunyata (Emptiness) proposed by Nagarjuna (Madhyamaka school); rather, it provides a different psychological and idealistic framework to explain how emptiness functions within the mind.
- It is a Mahayana school, so it significantly deviates from the strict adherence to the Pali Canon associated with the Theravada (Hinayana) tradition.
- While Mahayana Buddhism eventually incorporated various deities, the defining characteristic of the Yogachara specifically is its sophisticated epistemology and idealism, not the worship of local deities.
Incorrect
Answer: (a)
Explanation:
- Core Philosophy: The Yogachara school (also known as Vijnanavada) is a major philosophical tradition of Mahayana Buddhism. Its name, Vijnanavada, literally means the Doctrine of Consciousness, reflecting its central belief that only Vijnana (consciousness or mind) has ultimate reality.
- The Mind-Only View: The school posits that what we perceive as the external world is actually a projection of our own consciousness. Therefore, the subject-object duality is considered an illusion.
- Key Figures: This school was founded by the brothers Asanga and Vasubandhu in the 4th or 5th century AD.
- Relationship with Other Schools:
- It does not reject the concept of Sunyata (Emptiness) proposed by Nagarjuna (Madhyamaka school); rather, it provides a different psychological and idealistic framework to explain how emptiness functions within the mind.
- It is a Mahayana school, so it significantly deviates from the strict adherence to the Pali Canon associated with the Theravada (Hinayana) tradition.
- While Mahayana Buddhism eventually incorporated various deities, the defining characteristic of the Yogachara specifically is its sophisticated epistemology and idealism, not the worship of local deities.
-
Question 9 of 15
9. Question
1 pointsWith reference to the history of ancient India, consider the following statements:
- The Mitakshara school of law, which allowed sons to claim a right to ancestral property by birth, was primarily prevalent in the Bengal and Assam regions.
- The Dayabhaga school of law held that the father had absolute power over the property during his lifetime, and sons could only claim their shares after his death.
- According to the Arthashastra, if a man died without an heir, his property was generally escheated to the State, except in the case of Brahmins.
Which of the statements given above are correct?
Correct
Answer: (b)
Explanation:
- Statement 1 is incorrect: The Mitakshara school, written by Vijnanesvara, was prevalent throughout most of India except for the Bengal and Assam regions. Under this system, a son acquires a right to ancestral property by the mere fact of his birth.
- Statement 2 is correct: The Dayabhaga school, authored by Jimutavahana, was the system prevalent in Bengal and Assam. It held that the sons do not have a birthright to the property; instead, the father has absolute disposal over the property during his lifetime, and the sons’ rights only arise upon the father’s death.
- Statement 3 is correct: Kautilya’s Arthashastra outlines that in the absence of a natural heir, the property of a deceased person should be taken over by the State (escheat). However, it specifically provides an exception for the property of Brahmins, which was to be distributed among other learned Brahmins or Vedic students rather than being seized by the King.
Incorrect
Answer: (b)
Explanation:
- Statement 1 is incorrect: The Mitakshara school, written by Vijnanesvara, was prevalent throughout most of India except for the Bengal and Assam regions. Under this system, a son acquires a right to ancestral property by the mere fact of his birth.
- Statement 2 is correct: The Dayabhaga school, authored by Jimutavahana, was the system prevalent in Bengal and Assam. It held that the sons do not have a birthright to the property; instead, the father has absolute disposal over the property during his lifetime, and the sons’ rights only arise upon the father’s death.
- Statement 3 is correct: Kautilya’s Arthashastra outlines that in the absence of a natural heir, the property of a deceased person should be taken over by the State (escheat). However, it specifically provides an exception for the property of Brahmins, which was to be distributed among other learned Brahmins or Vedic students rather than being seized by the King.
-
Question 10 of 15
10. Question
1 pointsWith reference to the burial practices of the Indus Valley Civilization, consider the following statements:
- The practice of Fractional Burial, where only a few bones were buried after exposure to the elements, has been identified at Mohenjo-daro.
- Coupled Burials have been discovered at the site of Lothal.
- The use of wooden coffins for burials was a common feature across all major Harappan urban centers.
- At the site of Ropar, a unique instance of a dog buried with a human has been found, reflecting a practice similar to the Neolithic site of Burzahom.
How many of the statements given above are correct?
Correct
Answer: (c)
Explanation:
- Statement 1 is correct: In addition to complete burials, the practice of Fractional Burial (where bones were collected and buried after the body had been exposed to the elements or wild animals) has been identified at Mohenjo-daro.
- Statement 2 is correct: Lothal is famous for the discovery of Coupled Burials (joint burials), where a male and a female were buried together in the same grave. Some historians have debated if this suggests an early form of Sati, though there is no definitive consensus.
- Statement 3 is incorrect: The use of wooden coffins was not a common feature across all centers. It was an exceptional practice, with the most notable evidence found at Harappa (Cemetery R-31), where a body was found in a coffin made of rosewood.
- Statement 4 is correct: At Ropar (Punjab), a unique burial was discovered where a dog was buried with a human. This practice is strikingly similar to the Neolithic burials found at Burzahom in Kashmir, suggesting a possible cultural link or shared tradition.
Incorrect
Answer: (c)
Explanation:
- Statement 1 is correct: In addition to complete burials, the practice of Fractional Burial (where bones were collected and buried after the body had been exposed to the elements or wild animals) has been identified at Mohenjo-daro.
- Statement 2 is correct: Lothal is famous for the discovery of Coupled Burials (joint burials), where a male and a female were buried together in the same grave. Some historians have debated if this suggests an early form of Sati, though there is no definitive consensus.
- Statement 3 is incorrect: The use of wooden coffins was not a common feature across all centers. It was an exceptional practice, with the most notable evidence found at Harappa (Cemetery R-31), where a body was found in a coffin made of rosewood.
- Statement 4 is correct: At Ropar (Punjab), a unique burial was discovered where a dog was buried with a human. This practice is strikingly similar to the Neolithic burials found at Burzahom in Kashmir, suggesting a possible cultural link or shared tradition.
-
Question 11 of 15
11. Question
1 pointsEach of the three persons A, B, and C is of a different age. Who is the youngest?
Statement 1: The sum of the ages of A and B is 45 years, and the difference between their ages is 5 years.
Statement 2: The product of the ages of B and C is 600, and C is younger than B.
Which one of the following is correct in respect of the above statements?
Correct
Correct Answer: (c)
Detailed Solution:
To identify the youngest, we need a clear age comparison between A, B, and C.
From Statement 1: A + B = 45 and A – B = 5 (or vice versa). Adding the equations: 2A = 50, so A = 25 and B = 20. Alternatively, B = 25 and A = 20. In either case, we have the ages {20, 25} for A and B, but no information on C. Insufficient.
From Statement 2: B * C = 600 and C < B. Multiple integer pairs satisfy this: (30, 20), (40, 15), (60, 10), etc. Without knowing A’s age, we cannot determine who is the youngest. Insufficient.
Combining Statement 1 and 2: From Statement 1, B must be either 20 or 25. Case I: If B = 20, then from Statement 2 (B * C = 600), C must be 30. However, Statement 2 says C < B. Since 30 is not less than 20, this case is mathematically impossible. Case II: If B = 25, then from Statement 1, A must be 20. From Statement 2, 25 * C = 600, so C = 24. Check condition: C < B (24 < 25) is True. Final Ages: A = 20, B = 25, C = 24.
Conclusion: A is the youngest. Both statements were required to eliminate the invalid case.
Incorrect
Correct Answer: (c)
Detailed Solution:
To identify the youngest, we need a clear age comparison between A, B, and C.
From Statement 1: A + B = 45 and A – B = 5 (or vice versa). Adding the equations: 2A = 50, so A = 25 and B = 20. Alternatively, B = 25 and A = 20. In either case, we have the ages {20, 25} for A and B, but no information on C. Insufficient.
From Statement 2: B * C = 600 and C < B. Multiple integer pairs satisfy this: (30, 20), (40, 15), (60, 10), etc. Without knowing A’s age, we cannot determine who is the youngest. Insufficient.
Combining Statement 1 and 2: From Statement 1, B must be either 20 or 25. Case I: If B = 20, then from Statement 2 (B * C = 600), C must be 30. However, Statement 2 says C < B. Since 30 is not less than 20, this case is mathematically impossible. Case II: If B = 25, then from Statement 1, A must be 20. From Statement 2, 25 * C = 600, so C = 24. Check condition: C < B (24 < 25) is True. Final Ages: A = 20, B = 25, C = 24.
Conclusion: A is the youngest. Both statements were required to eliminate the invalid case.
-
Question 12 of 15
12. Question
1 pointsIs the integer n divisible by 12?
Statement 1: n is divisible by 3 and 4.
Statement 2: n is a multiple of 6 and 8.
Which one of the following is correct in respect of the above statements?
Correct
Correct Answer: (d)
Detailed Solution:
A number is divisible by 12 if it is divisible by its co-prime factors, 3 and 4.
From Statement 1: n is divisible by 3 and 4. Since 3 and 4 have no common factors other than 1 (co-prime), any number divisible by both must be divisible by their product (3 * 4 = 12). This gives a definitive Yes. Sufficient.
From Statement 2: n is a multiple of 6 and 8. A number that is a multiple of two different numbers must be a multiple of their Least Common Multiple (LCM). The LCM of 6 and 8 is 24. If n is a multiple of 24 (n = 24, 48, 72…), and since 24 is itself divisible by 12, then n must also be divisible by 12. This gives a definitive Yes. Sufficient.
Incorrect
Correct Answer: (d)
Detailed Solution:
A number is divisible by 12 if it is divisible by its co-prime factors, 3 and 4.
From Statement 1: n is divisible by 3 and 4. Since 3 and 4 have no common factors other than 1 (co-prime), any number divisible by both must be divisible by their product (3 * 4 = 12). This gives a definitive Yes. Sufficient.
From Statement 2: n is a multiple of 6 and 8. A number that is a multiple of two different numbers must be a multiple of their Least Common Multiple (LCM). The LCM of 6 and 8 is 24. If n is a multiple of 24 (n = 24, 48, 72…), and since 24 is itself divisible by 12, then n must also be divisible by 12. This gives a definitive Yes. Sufficient.
-
Question 13 of 15
13. Question
1 pointsA person starts from point P and walks 10 meters toward the North. He then turns right and walks 15 meters. From there, he turns 135 degrees in the clockwise direction and walks 20 meters. In which direction is he now moving?
Correct
Correct Answer: (b)
Detailed Solution:
Step 1: The person starts facing North.
Step 2: A right turn is a standard 90-degree clockwise turn. The person is now facing East. Step 3: From facing East, he turns 135 degrees clockwise. Breakdown of the 135-degree turn:
- The first 90 degrees of the turn takes him from East to South.
- The remaining 45 degrees (135 – 90 = 45) takes him from South toward the West. Direction halfway between South and West is South-West. Therefore, the final direction of movement is South-West.
Incorrect
Correct Answer: (b)
Detailed Solution:
Step 1: The person starts facing North.
Step 2: A right turn is a standard 90-degree clockwise turn. The person is now facing East. Step 3: From facing East, he turns 135 degrees clockwise. Breakdown of the 135-degree turn:
- The first 90 degrees of the turn takes him from East to South.
- The remaining 45 degrees (135 – 90 = 45) takes him from South toward the West. Direction halfway between South and West is South-West. Therefore, the final direction of movement is South-West.
-
Question 14 of 15
14. Question
1 pointsPoint A is 6 meters West of Point B. Point C is 8 meters North of Point B. Point D is 12 meters East of Point C. Point E is 8 meters South of Point D. What is the shortest distance between Point A and Point E?
Correct
Correct Answer: (b)
Detailed Solution:
Using a coordinate system where Point B is (0, 0):
- Point A (6m West of B) = (-6, 0)
- Point C (8m North of B) = (0, 8)
- Point D (12m East of C) = (12, 8)
- Point E (8m South of D) = (12, 8 – 8) = (12, 0)
Shortest distance between A (-6, 0) and E (12, 0): Since both points have a y-coordinate of 0, they are on the same horizontal line (the x-axis). Distance = 12 – (-6) = 12 + 6 = 18 meters.
Incorrect
Correct Answer: (b)
Detailed Solution:
Using a coordinate system where Point B is (0, 0):
- Point A (6m West of B) = (-6, 0)
- Point C (8m North of B) = (0, 8)
- Point D (12m East of C) = (12, 8)
- Point E (8m South of D) = (12, 8 – 8) = (12, 0)
Shortest distance between A (-6, 0) and E (12, 0): Since both points have a y-coordinate of 0, they are on the same horizontal line (the x-axis). Distance = 12 – (-6) = 12 + 6 = 18 meters.
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Question 15 of 15
15. Question
1 pointsPassage:
The digital revolution has transformed the global economy, yet it has also created a participation gap. While technology offers tools for unprecedented productivity, these gains are often concentrated among those with high digital literacy and access to infrastructure. In developing nations, the shift toward automation threatens to leapfrog the traditional manufacturing-led growth model, potentially leaving a vast workforce of unskilled laborers without a viable path to middle-income status. To mitigate this, policy must shift from merely providing hardware to fostering a cognitive environment where adaptability is the primary skill.
Which of the following is the most critical inference that can be made from the passage?
Correct
Correct Answer: (c)
Detailed Solution:
The core of the passage highlights that automation threatens to leapfrog the traditional path of development (which usually relies on low-skill manufacturing). This suggests that the standard historical model of economic growth is no longer a reliable roadmap for developing nations in the digital age.
- (a) is incorrect as the text suggests changing policy/skills, not stopping technology.
- (b) is incorrect because the text lists both literacy and infrastructure as issues; it does not rank one as more significant.
- (c) is the correct inference. If the traditional model is being leapfrogged and failing to provide a viable path, it is effectively becoming obsolete.
- (d) is contradicted by the final sentence, which argues against merely providing hardware in favor of fostering adaptability.
Incorrect
Correct Answer: (c)
Detailed Solution:
The core of the passage highlights that automation threatens to leapfrog the traditional path of development (which usually relies on low-skill manufacturing). This suggests that the standard historical model of economic growth is no longer a reliable roadmap for developing nations in the digital age.
- (a) is incorrect as the text suggests changing policy/skills, not stopping technology.
- (b) is incorrect because the text lists both literacy and infrastructure as issues; it does not rank one as more significant.
- (c) is the correct inference. If the traditional model is being leapfrogged and failing to provide a viable path, it is effectively becoming obsolete.
- (d) is contradicted by the final sentence, which argues against merely providing hardware in favor of fostering adaptability.
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