Jharkhand (JSSC) PRT Paper III Mock Test - 1 - Jharkhand (JSSC) PRT/TGT MCQ

The correct answer is Fundamental Rights

Key Points

• Habeas Corpus which literally means “to produce the body” is a protection against illegal and arbitrary detention of a person.
• The petitions for habeas corpus determine whether the individual has been arrested according to the procedure established by law.

• Habeas Corpus is one of the five writs through which an individual can approach the Supreme Court or the High Courts for the implementation of his Fundamental Rights.

Hence, the correct answer is - Fundamental Rights.

Additional Information

• The Supreme Court of India is the defender of the Fundamental Rights of the citizens. For that, it has original and wide powers. It issues five kinds of writs for enforcing the fundamental rights of the citizens. The five types of writs are:
  1. Habeas Corpus
  2. Mandamus
  3. Prohibition
  4. Certiorari
  5. Quo-Warranto​​​

The correct answer is 948.

• As per the census, 2011, the sex ratio of Jharkhand is 948 females to 1000 males.

Key Points

• The population of Jharkhand is 32.96 million as per the census of 2011.
• The population of Jharkhand consists of 16.93 million males and 16.03 million females.
• The literacy rate of the state stands at 66.41%.
• The most educated district in Jharkhand is Ranchi with 77.13%.
• In Jharkhand, Hinduism is the majority religion.
• Out of 24 districts of Jharkhand, Hinduism forms the majority in 19 religions.

The correct answer is Subhash Chandra Bose

• Subhas Chandra Bose was elected President of the Haripura Congress Session in 1938.
• He is also known as Netaji.
• He was the President of the Indian National Congress from 1938 to 1939.
• Freedom Fighter, Subhas Chandra Bose was born in Cuttack in Odhisa in the year 1897.
• The government of ‘Free India’ was inaugurated by Subhash Chandra Bose in Singapore.

The correct answer is a-1, b-3, c-4, d-2.
Confusion Points

• Emergency provisions were included in the Government of India act, 1935. Indian Constitution borrowed these provisions.
• Suspension of Fundamental rights During Emergency: This feature was borrowed from the constitution of Wiemer Germany.

Additional Information

• Sources of the Constitution

The correct answer is 26 November 1949.

Important Points

• The Constituent Assembly adopted the Indian Constitution on November 26, 1949.
• The Indian National Congress made the demand for a constituent assembly in 1934.
• The Constitution of India was officially framed by the Constituent Assembly.

Key Points

• The constituent assembly was set up on December 6, 1946.
  • It was constituted under the provisions of the Cabinet Mission Plan of 1946.
• The first official meeting of the constituent assembly was held on December 9, 1946.
• Sachidananda Sinha was appointed as the temporary chairman during its first meeting.
• Dr. Rajendra Prasad was elected as the permanent president of the constituent assembly on December 11, 1946.
• The Constituent Assembly also appointed H.C. Mukherjee as its vice president.
• The constitutional advisor to the constituent assembly was B. N. Rao.

Mistake Points

• The Constitution of India came into being on January 26, 1950.

Additional Information

• The constituent assembly adopted the national flag on July 22, 1947.
• The constituent assembly adopted the national anthem on January 24, 1950.
• The constituent assembly adopted the national song on January 24, 1950.

The correct answer is Gujarat.Key Points

• The Harappan site of Dholavira is located on Khadir Island in Gujarat.
• Dholavira site was discovered in 1967-68 by J. P. Joshi, of the Archaeological Survey of India (ASI),
• For the construction of the house, the people of Dholavira switched from mud brick to stone brick.
• Potteries and ornaments were made by the people of the region.
• The continuous settlement at one given place is recorded in Dholavira.
• Excellent city planning, wide roads, and architecture with geometric precision can be seen here.
• On Mansar and Manhar Rivers, the dams were built by the people of Dholavira.
• Among the prime discoveries made here were various reservoirs, which bear testimony to the advanced water-management system back then.

Additional Information

• Harappan civilization
  • Harappan civilization is also called Indus Valley Civilization (IVC).
  • John Marshall was the first researcher to use the term, ‘Indus Valley Civilization’.
  • Indus Valley Civilization (IVC) is one of the four great civilizations of the world.
  • It flourished along the floodplains of the Indus and Ghaggar-Hakra.
  • It was spread across the western part of South Asia and now lies in India, Pakistan, and Afghanistan.
  • Indus Valley Civilization spread from the year 2500 – 1750 BC according to radio-carbon dating.
  • The capital cities were Mohenjodaro and Harappa.

The correct answer is Al-Biruni.

Key PointsAl-Biruni

• ​Al-Biruni was born in 973, in Khwarizm in present-day Uzbekistan.
• Al-Biruni, a great scholar of Central Asia, came to India in the 11th century. He arrived in India during the invasion of Mahmud of Ghazni.
• Al-Biruni received the best education available at the time. He was well versed in several languages: Syriac, Arabic, Persian, Hebrew, and Sanskrit.
• In 1017, when Sultan Mahmud invaded Khwarizm, he took several scholars and poets back to his capital, Ghazni; Al-Biruni was one of them. He arrived in Ghazni as a hostage.
• Al-Biruni's Kitab-ul-Hind, written in Arabic, is simple and lucid.
• Al-Biruni adopted a distinctive structure in each chapter, beginning with a question, following this up with a description based on Sanskritic traditions, and concluding with a comparison with other cultures.
• Al-Biruni depended almost exclusively on the works of Brahmanas, often citing passages from the Vedas, the Puranas, the Bhagavad Gita, the works of Patanjali, the Manusmriti, etc., to provide an understanding of Indian society.
• Al-Biruni tried to explain the caste system by looking for parallels in other societies.
• Al-Biruni's has given an account of the system of vamas.

During the Sultanate period, special slaves purchased for military service were called Bandagan in Persian.

Important Points

1. A large empire like the Delhi Sultanate needed trustworthy governors and bureaucrats to consolidate. The early Delhi Sultans, especially Iltutmish, preferred their special slaves recruited for military duty, known as bandagan in Persian, rather than installing aristocrats and landed chieftains as administrators.
2. To fill some of the most significant political positions in the kingdom, they underwent thorough training. The Sultan could count on them since they were fully reliant on his lord.
3. The Khaljis and Tughluqs kept using bandagan and promoted people from lowly backgrounds, who were frequently their clients, to positions of prominence in politics.
4. They were chosen to serve as governors and generals. But this also added a component of political unpredictability.
5. Clients and slaves were devoted to their patrons and masters but not to their heirs. The New Sultans had their own slaves. As a result, when a new monarch came into power, the old and new nobility frequently clashed.
6. Many elites were surprised by the Delhi Sultans' indulgence of these lowly people, and the Persian Tawarikh authors criticized the Delhi Sultans for elevating the "poor and base-born" to positions of power.

The correct answer is Ahmad Shah.

Key Points

• The Bahmani sultanate was a Persianate Sunni Muslim empire of the Deccan in South India.
• Ahmad Shah shifted the capital of the Bahmani kingdom to Bidar from Gulbarga.
• Gulbarga was the capital from 1347 to 1425.
• Bidar was the capital in 1429.

Thus, we can say that during the reign of Ahmad Shah, the capital of the Bahmani kingdom was shifted from Gulbarga to Bidar.

Additional Information

• Bahmani kingdom was founded in 1347 by Alauddin Bahman Shah.

​The chronological order for the advent of European trading companies in India is:

• Portuguese
• Dutch
• English
• French

Key Points

• Portuguese: The Portuguese were the first European power to arrive in India, with Vasco da Gama landing in Calicut on May 20, 1498.
  • The Portuguese established their first trading post in Calicut in 1500, followed by other trading posts in Cochin, Cannanore, and Goa.
  • In 1510, they captured Goa from the Sultan of Bijapur and made it their headquarters.
  • By the mid-16th century, the Portuguese controlled much of the coastal trade in India, including the spice trade.
• Dutch: The Dutch East India Company (VOC) arrived in India in 1602.
  • They established trading posts in Surat, Cambay, Ahmedabad, Broach, Agra, and Burhanpur.
  • In 1619, they established a factory in Masulipatnam, followed by other factories in cities such as Nagapattinam, Cochin, and Pulicat.
  • The Dutch and the Portuguese competed for control of the spice trade in India, with the Dutch eventually driving the Portuguese out of many areas.
• English: The British East India Company (EIC) arrived in India in 1608, with the establishment of a trading post in Surat.
  • They also established factories in other cities such as Madras (now Chennai), Bombay (now Mumbai), and Calcutta (now Kolkata).
  • In 1757, the British defeated the Nawab of Bengal in the Battle of Plassey, which marked the beginning of British dominance in India.
• French: The French East India Company (Compagnie des Indes orientales) arrived in India in 1664, with the establishment of a trading post in Surat.
  • They also established factories in other cities such as Pondicherry (now Puducherry), Chandernagore (now Chandannagar), and Karaikal.
  • The French and the British competed for control of the Indian subcontinent, with the French eventually losing to the British in the Battle of Wandiwash in 1760.

Therefore, the correct chronological order of the arrival of the European trading companies in India is 1. Portuguese (1498), Dutch (1602), English (1608), French (1664).

The correct answer is Battle of Buxar.

• The Battle of Buxar was fought between Mir Qasim and East India Company in 1764 where Mir Qasim was defeated at Buxar.

Key Points

Outcome of Buxar

• A treaty was signed in 1765 known as the 'Treaty of Allahabad' between the Governor-General, Robert Clive, and Mughal emperor, Shah Alam II.
• In this treaty Mughal emperor, Shah Alam II appointed the company as the Diwani of Bengal, Bihar, and Odisha where the company was granted rights to collect taxes from the provinces.
• Through this the company got the power to exercise over the Indian provinces of Bengal, Bihar, and Odisha.

Thus, we can conclude that after the Battle of Buxar the British acquire the Diwani of Bengal, Bihar, and Odisha.

Additional Information

• The Battle of Plassey was fought between Robert Clive and the Nawab of Bengal, Sirajuddaulah in 1757 at Plassey.
• The Regulating Act was an act of the British Government to control and define the rules of the East India Company in India passed in 1773.
• Pitt's India Act was passed to remove the shortcomings of the Regulating Act.

The correct answer is 1896

Key Points

• Vande Mataram was first sung was in 1896 session of the Indian National Congress.
• The 1896 session of the Indian National Congress was held in Calcutta.
• It was presided by M. Rahmathulla Sayani.

 Important Point

• Vande Mataram is a Sanskrit poem written by Bankim Chandra Chatterjee.
  • It was taken from Anand Math published in 1882.
  • Vande Mataram was first sung by Rabindranath Tagore in 1896.
  • It was adopted by the constituent assembly on 24th January 1950.
  • The music is composed by Jadhunath Bhattacharya.

Additional Information

• Sessions of INC:

The correct answer is Indian Association.

Key Points

• Indian Association was merged with the Indian National Congress in 1886.
  • It was during the second session of the Indian National Congress held in 1886 in Calcutta.
  • Dadabhai Naoroji served as the President of the Indian National Congress in 1886.
• Indian Association was a nationalist political group in India that favoured local self-government in India.
  • The Indian Association was established in 1876.
  • It was the first avowed nationalist organization founded in British India.
  • Indian Association was founded by Surendranath Banerjee and Ananda Mohan Bose.
  • It was mainly supported by younger professional men among the Bengali intelligentsia.
  • Indian Association objected to the Vernacular Press Act, which stifled the Indian press.

Additional Information

• The East India Association was a London-based organization founded by Dadabhai Naoroji in 1866.
• The Bombay Presidency Association was founded by Badruddin Tyabji and others in 1885.
• The Young Bengal Movement was started by Henry Vivian Derozio in Calcutta.

Important Points

Congress was the natural and inevitable product of various forces of the 19th century.

• The credit for the birth of the Congress is often given to AO Hume, who with the help of the Viceroy Lord Dufferin successfully organised the prominent political leaders and founded the Indian National Congress.

Formation of Indian National Congress:

• Indian National Congress was finally formed on 28th December 1885.
• The first session of the Indian National Congress was held on 28th December 1885 at Tejpal Sanskrit Pathshala, Bombay under the Presidentship of WC Banerjee.
• In 1886, the number of delegates to Congress became 436.
• Moderate leaders dominated Congress in its early phase.

Thus, we can conclude that in 1885 the Indian National Congress was formed.

The correct answer is Subtropical high.

Key Points

• Sub-Tropical High-Pressure Belt or Horse Latitudes
  • The sub-tropical highs extend from near the tropics to about 35°N and S.
  • After saturation (complete loss of moisture) at the ITCZ, the air moving away from the equatorial low-pressure belt in the upper troposphere becomes dry and cold.
  • This dry and cold wind subsides at 30°N and S.
  • So the high pressure along this belt is due to the subsidence of air coming from the equatorial region which descends after becoming heavy.
  • The high pressure is also due to the blocking effect of air at upper levels because of the Coriolis force.
  • The subsiding air is warm and dry, therefore, most of the deserts are present along this belt, in both hemispheres.
  • A calm condition (anticyclonic) with feeble winds is created in this high-pressure belt.
  • The descending air currents feed the winds blowing towards adjoining low-pressure belts.
  • This belt is frequently invaded by tropical and extra-tropical disturbances.
  • The corresponding latitudes of the subtropical high-pressure belt are called horse latitudes. Hence, Option 3 is correct.
  • In the early days, the sailing vessels with a cargo of horses found it difficult to sail under the calm conditions of this high-pressure belt.
  • They used to throw horses into the sea when fodder ran out. Hence the name horse latitudes.

The correct answer is Argentina.Key Points

• The Amazon River is located in the northern portion of South America, flowing from west to east.
• The river system originates in the Andes Mountains of Peru and travels through Ecuador, Colombia, Venezuela, Bolivia, and Brazil before emptying into the Atlantic Ocean. it's not flowing in Argentina.
• The Amazon River in South America is the largest river by discharge volume of water in the world, and the disputed longest river system in the world in comparison to the Nile.

Additional Information

South America

• South America is a continent entirely in the Western Hemisphere and mostly in the Southern Hemisphere, with a relatively small portion in the Northern Hemisphere at the northern tip of the continent.
• It can also be described as the southern subregion of a single continent called America.
• South America is bordered on the west by the Pacific Ocean and on the north and east by the Atlantic Ocean; North America and the Caribbean Sea lie to the northwest.
• The continent generally includes twelve sovereign states: Argentina, Bolivia, Brazil, Chile, Colombia, Ecuador, Guyana, Paraguay, Peru, Suriname, Uruguay, and Venezuela; two dependent territories: the Falkland Islands and South Georgia and the South Sandwich Islands; and one internal territory: French Guiana.
• In addition, the ABC islands of the Kingdom of the Netherlands, Ascension Island (dependency of Saint Helena, Ascension and Tristan da Cunha, a British Overseas Territory), Bouvet Island (dependency of Norway), Panama, and Trinidad and Tobago may also be considered parts of South America.

• Kalbaisakhi is a local rainfall and thunderstorm occurs in India and Bangladesh.
• In India Odisha, West Bengal, Assam, Bihar, Chhattisgarh, and Jharkhand, are affected by it.
• It causes damage to life and property and is known as the calamity of Baishakhi.
• It occurs in the month of April and May in India.
• The rainfall is beneficial for the cultivation of tea, jute, and rice in West Bengal, Assam, and Bangladesh

An archipelago sometimes called an island group or island chain, is a chain, cluster or collection of islands.

The correct answer is Bara Bhangal Valley.

​Key Points

• Bara Bhangal Valley:
  • Himachal Pradesh.
  • ​Bara Bhangal lies at the extreme northern tip of Kangra, bordering both Mandi and Chamba, between the Dhauladhar and Pir Panjal ranges, deep in the Ravi valley.
  • It is huge, about 1,400 sq km, thickly forested, with just one large village of the same name.
  • It is where the Raja of Mandi used to exile criminals, which perhaps explains why no one would choose to settle in such an impossibly difficult location. Its 600-odd residents are pastoralists and shepherds since little agriculture is not possible at 8,500 feet.
  • Bara Bhangal, the geographically isolated central Himalayan village, has been part of a bustling and prosperous kingdom during the thirteenth century AD.

The correct answer is ​Valparaiso and Cape Town.

Key Points

• The Sclerophyll Vegetation is found in Western parts of Australia, Californian chaparral, and Woodlands in the Mediterranean forests, Chilean Matorral, and the Cape Province of South Africa.
• Valparaiso is a coastal town in Chile, while Cape Town is in South Africa. Hence, Option 4 is correct.
• Lisbon is in Portugal (Mediterranean Region) and Perth is in Australia.
• Sclerophyll Vegetation is found in Western parts of Australia.
• Sclerophyll is a type of vegetation that has hard leaves, short internodes, and leaf orientation parallel or oblique to direct sunlight.
• Sclerophyll forests are of two types:- Dry sclerophyll forests and Wet sclerophyll forests
• Dry sclerophyll forests are open forests that include a wide range of structural and floristic types.
• Wet sclerophyll forests are dominated by trees particularly of the genera Eucalyptus, Angophora, Corymbia, Syncarpia, and Lophostemon.

The correct answer is 1, 2 and 4 only​.

Key Points

Writs

• The Supreme Court (under Article 32) and the High Courts (under Article 226) can issue the writs.
• Writs of Habeas corpus, Mandamus, Prohibition, Certiorari and Quo-Warranto.
• Further, the Parliament (under Article 32) can empower any other court to issue these writs.
• Since no such provision has been made so far, only the Supreme Court and the high courts can issue the writs and not any other court.

Habeas Corpus

• ​It is a Latin term which literally means ‘to have the body of’/to present a person. Hence, pair 1 is correctly matched.
• It is an order issued by the court to a person who has detained another person, to produce the body of the latter before it.
• The court then examines the cause and legality of detention.
• It would set the detained person free if the detention is found to be illegal.

Mandamus

• It literally means ‘to command’. Hence, pair 2 is correctly matched.
• It is a command issued by the court to a public official asking him to perform the official duties that he has failed or refused to perform.
• It can also be issued against any public body, a corporation, an inferior court, a tribunal or government for the same purpose.

Prohibition

• Literally, it means ‘to forbid’. Hence, pair 3 is not correctly matched.
• It is issued by a higher court to a lower court or tribunal to prevent the latter from exceeding its jurisdiction or usurping a jurisdiction that it does not possess.
• Thus, unlike the mandamus that directs activity, the prohibition directs inactivity.

Quo-Warranto

• In the literal sense, it means ‘by what authority or warrants’. Hence, pair 4 is correctly matched.
• It is issued by the court to enquire into the legality of the claim of a person to a public office.
• Hence, it prevents illegal usurpation of public office by a person.
• The writ can be issued only in case of a substantive public office of a permanent character created by a statute or by the Constitution.
• It cannot be issued in cases of ministerial office or private office.

Certiorari

• In the literal sense, it means ‘to be certified’ or ‘to be informed’. Hence, pair 5 is not correctly matched.
• It is issued by a higher court to a lower court or tribunal either to transfer a case pending with the latter to itself or to squash the order of the latter in a case.
• It is issued on the grounds of excess of jurisdiction or lack of jurisdiction or error of law.
• Thus, unlike prohibition, which is only preventive, certiorari is both preventive as well as curative.

A rock is any naturally occurring solid mass or aggregate of minerals or mineraloid matter. There are three kinds of rock: igneous, sedimentary, and metamorphic. Igneous rocks.

Metamorphic rock:

• The word metamorphic means ‘change of form’.
• These rocks form under the action of pressure, volume, and temperature (PVT) changes.
• Metamorphism is a process by which already consolidated rocks undergo recrystallization and reorganization of materials within original rocks
• Metamorphic rocks can be classified into foliated or non-foliated rocks.
• Gneissoid, granite, syenite, slate, schist, marble, quartzite, etc. are some examples of metamorphic rocks.

Therefore, it is clear that the metamorphic rocks are formed under the action of pressure, volume, and temperature. So all other options are incorrect about it.

The correct answer is 2005.Key Points

• The Right to Information Act was passed by the Parliament on 12th October 2005.
• The Right to Information Act is a tool, which every person in India can use to find out information that can make their lives better.
• India initiated the enactment of the Right to Information Act in the year 2005.
• The Act received Presidential assent on 15^th June 2005.
• The Right to Information Act came into force on 12th October 2005.

Additional Information

• Mazdoor Kisan Shakti Sangathan is the key organization behind the passing of the RTI Act.
• Central and State Information Commissions consist of a Chief Information Commissioner and not more than 10 Information Commissioners.
• The first RTI application in India was submitted by Shahid Raza Burney.
• There are only two schedules in RTI Act 2005.

• Sweden is the first country in the world to pass the Right to Information Act.

The correct answer is The Preamble.

Key Points

• All the fundamental ideas of secularism have been explicitly incorporated into the constitution's different clauses.
• The Preamble was amended by the 42nd Constitutional Amendment Act of 1976 to include the word "Secular" (India is a sovereign, socialist, secular, democratic, republic).
• It highlights the fact that India is a constitutionally secular nation without a State religion. And that the state must respect all religions equally without favouring or patronising any one in particular.
• The term "secularism" is similar to the Vedic idea of "Dharma nirapekshata," or the state's disregard for religion.
• Western civilizations, where the government is completely distinct from religion, have adopted this paradigm of secularism (i.e. separation of church and state).
• The "Sarva Dharma Sambhava" (meaning, "that the endpoint of the pathways pursued by all faiths is the same, albeit the paths themselves may be different") is an Indian philosophical concept that refers to the equal respect of all religions.
• This idea, known as "Positive Secularism," which embodies the dominant spirit of Indian culture, was adopted and pushed by individuals like Vivekananda and Mahatma Gandhi.
• There is no recognised state religion in India. However, a person's religion may have various personal rules depending on issues like marriage, divorce, inheritance, and alimony.
• Indian secularism aimed to achieve the peaceful coexistence of various religions, but it was not an end in and of itself.

An economic problem generally means the problem of making choices that occurs because of the scarcity of resources.

• It arises because people have unlimited desires but the means to satisfy that desire is limited.
• Therefore, satisfying all human needs is difficult with limited means.

Important Points

The fundamental economic problem faced by all societies is Scarcity.

• The economic resources are insufficient to satisfy human wants and needs.
• Human wants are unlimited, but the means to satisfy human wants are limited.
• Scarcity affects the economic growth of the country.

Thus, option 4 is correct.

Additional Information

Causes of economic problem:

• Scarcity of resources: Resources like labour, land, and capital are insufficient as compared to the demand. Therefore, the economy cannot provide everything that people want.
• Unlimited Human Wants: Human beings’ demands and wants are unlimited which means they will never be satisfied.
  • If a person’s one want is satisfied, they will start having new desires.
  • People’s wants are unlimited and keep multiplying, therefore, cannot be satisfied because of limited resources.
• Alternative Uses: Resources being scarce, the same resources are used for different purposes and it is therefore essential to make a choice among resources.
  • For instance, petrol is used in vehicles and is also used for generators, running machines, etc.
  • Therefore, the economy should now make a choice within the alternative uses.

Given:

The sum of the cubes of two numbers (a³ + b³) is 1755.

The sum of the numbers (a + b) is 15.

Formula used:

(a + b)³ = a³ + b³ + 3ab(a + b)

(a - b)² = (a + b)² - 4ab

Calculations:

(a + b)³= a³ + b³ + 3ab(a + b)

15³ = 1755 + 3ab(15)

= 3ab

ab = = 36

(a - b)²= (a + b)² - 4ab

= 15² - 4 × (36)

(a - b)²= 225 - 144 = 81

a - b = 9

∴ The answer is 9.

Given:

Sachin is younger than Rahul by 7 years.

The ratio of their ages is 7 ∶ 9.

Calculation:

Let the age of Rahul be x.

Let the age of Sachin be x - 7.

According to the question;

⇒ x/(x - 7) = 9/7

⇒ 7x = 9(x - 7)

⇒ 7x = 9x - 63

⇒ 2x = 63

⇒ x = 31.5

The age of Sachin = 31.5 - 7 = 24.5 years

∴ The age of Sachin is 24.5.

Short trick:

The ratio of their ages is 7 ∶ 9.

Sachin is younger than Rahul by 7 years.

Then, 9 - 7 = 7

⇒ 2 = 7

⇒ 1 = 3.5

The age of Sachin = 7 × 3.5 = 24.5 years

∴ The age of Sachin is 24.5.

Given:

8 workers working 7 hours per day can build a wall in 12 days

Concept used:

Total work = Number of Hours × Number of days to finish × Number of total workers

Calculation:

Let the total work be (8 × 7 × 12) i.e., 672 units.

Let 7 workers will N days to build the wall if they work 6 hours per day.

According to the concept,

7 × N × 6 = 672

⇒ N = 672/(7 × 6)

⇒ N = 16

∴ 7 workers will 16 days to build the wall if they work 6 hours per day.

Given:

Walking at 4 kmph, a student reaches his college 5 minutes late

Walking at 5 kmph, a student reaches his college 21/2 minutes early

Formula Used:

Speed = Distance/Time

Calculation:

Let the distance between college and house be D km

Let actual time taken be t hours

According to the question,

D = 4 × (t + 5/60) ---- (i)

D = 5 × (t - 10.5/60) ---- (ii)

Comparing both the equations

4 × (t + 5/60) = 5 × (t - 10.5/60)

⇒ 4t + 1/3 = 5t - 7/8

⇒ t = 29/24 hours

Putting the value of t in equation (i)

D = 4 × (29/24 + 5/60)

⇒ D = 31/6 km