WB Police constable (Prelims) 2015 Official Paper (Previous Year Paper)

Given Data:

Equation: 2t + 3t = 4t + 6t - 10

Concept to be used:

We will use the concept of simplifying and solving linear equations

Solution:

Combine like terms on both sides of the equation ⇒ 5t = 10t - 10

Rearrange the equation to bring all terms to one side ⇒ 5t - 10t = -10

Simplify the equation ⇒ -5t = -10

Solve for t by dividing both sides by -5 ⇒ t = -10 / -5

Simplify the right side to find the value of t ⇒ t = 2

Therefore, the solution to the equation 2t + 3t = 4t + 6t - 10 is t = 2.

Number of students in the class = 9 + 38 - 1

                                                    = 47 - 1

                                                    = 46

Correct answer is It was once believed that the sun was a God.

Key Points

• In this sentence, we're converting active voice to passive voice. The given sentence is in past simple tense.
• Passive form of past simple tense is "was/were + past participle (V3)".
• In the given sentence, the object is "the sun". In the passive voice, this becomes the subject of the sentence.
• The verb is "believed" and the rest of the sentence becomes the complement.
• Option 3 correctly follows these rules, stating "It was once believed that the sun was a God."

Therefore, the correct answer is Option 3.

The term 'community policing' is best described by the first option: "Developing community partnership and engage them in problem solving."

Community policing is a strategy of policing that focuses on building ties and working closely with members of the community. It involves the police engaging with the local community to identify and solve problems, with the goal of enhancing the quality of life in the community. Through community policing, law enforcement agencies are encouraged to develop partnerships with the community members, local organizations, and other stakeholders to collaboratively address issues such as crime, social disorder, and fear of crime. This approach emphasizes proactive measures to solve problems rather than just responding to crimes after they have occurred.

Given:

Let the number be x

1/2 = 3/4 of 4/5 of x

x = 1/2 × 4/3 × 5/4

x = 5/6

The correct answer is "Neutral".

 Key Points

• The word 'indifferent' means not caring one way or the other, being neutral or impartial.
• Example- She seemed indifferent to their suffering.
• 'Neutral' is a synonym of 'indifferent'. It means not supporting or helping either side in a conflict or disagreement.
• Example- He remained neutral during the argument.

Therefore, the correct answer is 'Option 1'.

The correct answer is Kazi Nazrul Islam Airport, Durgapur, West Bengal.

Key Points

• India's first private greenfield airport has recently commenced commercial operations at Durgapur, West Bengal.
• ​It has been named Kazi Nazrul Islam Airport (KNIA).
• It has been developed by Bengal Aerotropolis Pvt. Ltd. (BAPL) with technical assistance from Singapore-based Changi Airports International.

Additional Information

• The Government of India (GoI) has accorded 'In-Principle' approval for the setting up of 21 Greenfield Airports:
• Mopa in Goa,
• Navi Mumbai, Shirdi, and Sindhudurg in Maharashtra,
• Kalaburagi, Vijayapura, Hassan and Shivamogga in Karnataka,
• Dabra (Gwalior) in Madhya Pradesh,
• Kushinagar and Noida (Jewar) in Uttar Pradesh,
• Dholera and Hirasar in Gujarat,
• Karaikal in Puducherry,
• Dagadarthi, Bhogapuram, and Oravakal (Kurnool) in Andhra Pradesh,
• Durgapur in West Bengal,
• Pakyong in Sikkim,
• Kannur in Kerala and
• Donyi Polo, Itanagar in Arunachal Pradesh.
• Out of these, 9 Greenfield airports Durgapur, Shirdi, Kannur, Pakyong, Kalaburagi, Orvakal (Kurnool), Sindhudurg, Kushinagar, and Donyi Polo, Itanagar have been operationalized.

Given Data:

1. The class has Rs. 700 in expenses for the production.
2. If 300 tickets are sold, the class will make a profit of Rs. 1,100.

Solution:

Let's assume that the price of each ticket is x. So, the total revenue from selling 300 tickets will be 300x.

Since the class makes a profit of Rs. 1,100, we can write the equation: 300x - 700 = 1100. Solving this equation, we get x = 6. So, the price of each ticket is Rs. 6.

Now, if 500 tickets are sold at Rs. 6 each, the total revenue will be 500 * 6 = 3000. Subtracting the expenses of Rs. 700 from the total revenue, we get the profit as 3000 - 700 = 2300.

Therefore, the profit for the class if 500 tickets are sold is Rs. 2300.

According to the statement 

It is possible that :-

Some mothers are nurses.

Some mothers are teachers.

So, the least possible venn diagram will be;

Hence the correct answer is option 2.

Correct Answer is (c)

 Key Points

• The error in the sentence is with the preposition 'to' before 'diabetes'.
• In English, when you have a list of things or actions, you only need to use a preposition before the first item or action.
• In this sentence, 'to' should be used only before 'addiction' and not before 'diabetes'.
• The correct sentence would be: "Excessive sugar intake can lead to addiction, obesity and diabetes."

Therefore, the correct answer is Option 3.

The correct answer is Raja Ram Mohan Roy

Key Points 

• In collaboration with David Hare and Alexander Duff, Raja Rammohan Roy established Hindu College at Calcutta in 1817.
• In 1825, Raja Rammohan Roy established Vedanta College where courses in both Indian learning and Western social and physical sciences were offered.
• Raja Ram Mohan Roy was a social reformer who worked hard for the abolition of this 'Sati Pratha' ritual.
• Ram Mohan Roy was given the title of 'Raja' by Akbar II, the Mughal emperor, who sent him to England to represent him.
• He started India’s first English medium school in 1816 in Kolkata which later came to be known as the Anglo-Hindu school.
• Roy founded the Brahmo Samaj in 1828. This move is often credited with playing an important role in reforming and modernizing Indian society.
• He is often called the 'Father of Indian Renaissance. Freedom fighter Gopal Krishna Gokhale called Roy the 'Father of Modern India'.
• Due to the fierce campaign and lobbying of Raja Rammohan Roy and others, the Sati practice was formally banned in all the lands under Bengal Presidency by Lord William Bentinck on 4 December 1829.

Additional InformationHindu College, Calcutta

• Presidency University, Kolkata was formerly known as Hindu College and Presidency College.
• It is a public state university located in College Street, Kolkata.
• Established in 1817, it is probably the oldest institution in India to have no religious connection.
• The institution was elevated to university status in 2010 after functioning as a top constituent college of the University of Calcutta for about 193 years.
• The University had its bicentenary celebrations in 2017.

Given Data:

1. A total of 9 students took a test.
2. The average score of all 9 students was 86.
3. The average score of 4 students was 81.

Solution:

To find the average score for the remaining 5 students, we can use the concept of weighted averages.

Let's calculate the average score for the remaining 5 students:

⇒ Total score of all 9 students = Average score * Number of students = 86 * 9 = 774.

⇒ Total score of the 4 students = Average score * Number of students = 81 * 4 = 324.

⇒ Total score of the remaining 5 students = Total score of all 9 students - Total score of the 4 students = 774 - 324 = 450.

⇒ Average score for the remaining 5 students = Total score of the remaining 5 students / Number of remaining students = 450 / 5 = 90.

Therefore, the average score for the remaining 5 students is 90. Hence, the correct answer is option 3) 90.

Each day of the week is repeated after 7 days.

We have to find out for after 61 days, let us consider the multiple of 7 near the value 61.

So, after 63 days, it will be Monday.

Thus after 62 days, it will be Sunday.

Therefore after 61 days, it will be Saturday.

Hence the correct answer is option 2.

The correct answer is 'The judge commanded them to call the first witness'.

Key Points

• The reported speech is an imperative sentence. To change it into indirect form, the below steps should be followed:
• 'Said to' is changed into ordered/requested/advised/commanded etc. according to the context.
• In the given sentence, the subject of reporting verb is 'judge', so, it hints that 'commanded/ordered' should be used.
• Inverted commas (") are removed.
• Then, it is followed by 'to + V1 (for affirmative sentence)' and 'not + to + V1 (for negative sentence)'.
• No changes in the remaining information should be made here.
• A full stop (.) concludes the sentences.
• On following the above steps, we get the required Indirect form:
• The judge commanded them to call the first witness.

Therefore, the correct answer is option 2).

Additional Information 

• Direct Narration focuses on delivering the exact words what someone has said.
• Ex: Rohan said to me, "I have done my work".
• Indirect speech focuses more on the content of what someone said rather than their exact words.
• Ex: Rohan told me that he had done his work

The correct answer is 1984.

Key Points 

• Kolkata Metro holds the record of being India’s first metro service.
• On 24 October 1984, India’s first metro was commissioned between Esplanade to Bhowanipore, in Kolkata.
• It was introduced in the year 1984.
• The Kolkata Metro was India's first underground rail system, similar to the London tube system.

Additional Information 

Metro Train in Cities of India

• Delhi Metro
• Kolkata metro
• Bengaluru metro
• Jaipur metro
• Mumbai metro
• Gurugram
• Kochi metro
• Chennai metro
• Lucknow metro
• Hyderabad metro

The correct answer is Hydrogen and Helium.

Key Points Composition of the sun:

• 73% of the Sun’s mass is hydrogen, and another 25% is helium.
• The Sun and the stars are made up of mostly hydrogen and helium.
• It was first shown in a thesis in 1925 by Cecilia Payne-Gaposchkin.
• The core is approximately 20% of the size of the solar interior and has a temperature of approximately 15 million K.
• It generates its energy by nuclear fusion of hydrogen nuclei into helium.
• The inner layers are the Core, Radiative Zone and Convection Zone.
• The outer layers are the Photosphere, the Chromosphere, the Transition Region and the Corona.

Additional Information Solar Missions

• Genesis was the first solar mission and spacecraft to capture a sample of the solar wind.
• Aditya-L1 is the first solar mission of India to study the Sun.
• NASA’s Parker Solar Probe is the first mission to touch the Sun.

Given Data:

1. xy + 7y = 84
2. x + 7 = 3

To find the value of y, we can substitute the value of x from the second equation into the first equation.

Let's solve for x and then substitute it into the first equation:

x + 7 = 3

⇒ x = 3 - 7

⇒ x = -4

Substituting the value of x into the first equation:

xy + 7y = 84

⇒ (-4)y + 7y = 84

⇒ -4y + 7y = 84

⇒ 3y = 84

⇒ y = 84 / 3

⇒ y = 28

Therefore, the value of y is 28. Hence, the correct answer is option 4) 28.

Kolkata , Haldia and Paradeep are sea ports. Whereas Ranchi is the capital of Jharkhand and not a sea port.

The correct answer is when he was thirteen

 Key Points

• The underlined portion 'and he was thirteen years old then' can be shortened and made more concise without losing its meaning.
• The phrase 'when he was thirteen' is more succinct and directly links the baking of the first cake to his age at the time.
• It follows the structure of 'when + subject + was/were + age', which is a common way of expressing past actions at a specific age in English.
• Therefore, the sentence would read: "Sanjay baked his first cake when he was thirteen."

Therefore, the correct answer is Option 3.

The correct answer is Influenza.

Key Points

• Influenza, commonly known as "the flu", is an infectious disease caused by influenza viruses.
• Causative agents: Type A, Type B, and Type C viruses in the Orthomyxoviridae family.
• Incubation period: 18-72 hours
• Mode of transmission: Droplet
• There are four types of influenza viruses, termed influenza viruses A, B, C, and D.
• Symptoms range from mild to severe and often include fever, runny nose, sore throat, muscle pain, headache, coughing, and fatigue.
• These symptoms begin from one to four days after exposure to the virus.

Additional Information

• Diphtheria is a serious infection caused by strains of bacteria called Corynebacterium diphtheriae that make a toxin (poison).
• Diphtheria bacteria spread from person to person, usually through respiratory droplets, like from coughing or sneezing.
• Diphtheria currently occurs most often in sub-Saharan Africa, India, and Indonesia.

Some bacterial and viral diseases:

• Corona - COVID-19 virus
• Smallpox - Virus
• Malaria - Protozoa
• Flu - Virus
• Cholera - Bacteria
• Leprosy - Bacteria
• Tuberculosis - Bacteria

Correct answer is by.

 Key Points

• When we talk about parenthood or children in relation to their parents, we use the preposition 'by'.
• The sentence 'She has three children by her husband' indicates that her husband is the father of her three children.
• The preposition 'by' in this context is used to show parentage or origin.

Therefore, the correct answer is Option 3.

The correct answer is Hyderabad.

Key Points 

• National Police Academy is also known as Sardar Vallabhbhai Patel National Police Academy.
• The academy is located in Hyderabad, Telangana.
• Earlier the academy was located in Mount Abu, Rajasthan as the Central Police Training College (CPTC).
• It was established on 15 September 1948.
• In 1974, it was named after Sardar Vallabhbhai Patel and in 1975, the Academy was moved to Hyderabad.
• The academy provides training for the officers of the Indian Police Services.

Additional Information

• Indian National Science Academy (INSA) - New Delhi
• National Academy of Agricultural Sciences (NAAS) - New Delhi
• National Academy of Medical Sciences (NAMS) - New Delhi
• National Academy of Engineering (INAE) - Gurgaon, Haryana
• Indian Academy of Sciences (IASc) - Bengaluru, Karnataka
• National Defence Academy (NDA) - Khadakwasla, Pune, Maharashtra
• National Academy of Direct Taxes (NADT) - Nagpur, Maharashtra
• National Academy of Indian Railways (NAIR) - Vadodara, Gujarat
• National Academy of Construction (NAC) - Hyderabad, Telangana
• National Police Academy (SVPNPA) - Hyderabad, Telangana
• National Academy of Administration (IAS) - Mussoorie, Uttarakhand
• National Fire Service College (NFSC) - Nagpur, Maharashtra
• National Judicial Academy (NJA) - Bhopal, Madhya Pradesh

To obtain a negative product when multiplying four numbers together, we need an odd number of negative numbers. 

Among the given options:

1. One is negative, two are positive, and one is zero: In this case, the product would be zero or positive, not negative.

2. Four are negative: If all four numbers are negative, the product would be positive, not negative.

3. Two are negative and two are positive: In this case, the product would be positive, not negative.

4. Three are negative and one is positive: This is the only option that can result in a negative product. When three numbers are negative and one is positive, the negative values will overpower the positive value, resulting in a negative product.

Therefore, the correct answer is option 4) Three are negative and one is positive.

Hence, option 4) is the correct answer.

The logic followed here is: 

Similarly,

Hence the correct answer is option 3.

The correct answer is had been.

 Key Points

• The correct phrase to indicate a past continuous action up to a point in the past is 'had been'.
• 'He had been living in Delhi for ten years when I went there' correctly conveys that he started living in Delhi ten years prior to the speaker's visit.
• The 'had been' tense is used when we want to talk about something that started in the past and continued up until another action in the past.

Therefore, the correct answer is Option 3.

As per the information given in the question,

From the starting point she is in east direction.

Correct Answer is Rational.

 Key Points

• The word 'absurd' means illogical or unreasonable.
• Example with 'Absurd': The idea of running a marathon without training is absurd.
• 'Rational' is an antonym of 'absurd'. It means based on or in accordance with reason or logic.
• Example with 'Rational': Her decision to quit her job was rational considering the circumstances.

Therefore, the correct answer is Option 3.

The correct answer is 1024 Gigabyte.

Key Points 

• The smallest unit of memory is called a bit.
• Bit stands for binary digit.
• The memory of a computer is measured in Bytes
• The storage capacity of a hard disk is measured in Megabytes, Gigabytes, and Terabytes.
• The terabyte is a multiple of the unit byte for digital information.
• The value of a Terabyte is 1024 Gigabytes.
• 1 TB = 1000000000000 bytes = 1012 bytes

Additional Information

Given Data:

1. On the blueprint, 0.4 inch represents 6 feet.
2. The actual distance between two buildings is 76 feet.

Solution:

The scale of the blueprint means that every 0.4 inch on the blueprint corresponds to an actual distance of 6 feet.

So, if the actual distance between two buildings is 76 feet, then the distance between the corresponding buildings on the blueprint will be 76 feet / 6 feet / 0.4 inch

= 76 feet / (6 / 0.4)

= 76 feet * (0.4 / 6)

= 5.1 inch.

Therefore, the distance between the corresponding buildings on the blueprint would be 5.1 inches.

As per the information given,

Mary is to the right of Reeta.

The correct answer is Swami Vivekananda.

Key Points

• ​National Youth Day is celebrated in India on January 12.
• This is in honour of the birthday of Swami Vivekananda, who was an influential figure in India in the 19th century and a firm believer in the power of youth.
• In 1984 the Government of India declared this day as National Youth Day and since 1985 the event is celebrated in India every year.
• 2023 marks the 160th birth anniversary of Swami Vivekananda.
• On this event, PM Modi integrated the 26th National Youth Festival from 12th to 16th Jan, in Hubbali, Karnataka.
• 'Viksit Yuva Viksit Bharat' is the theme of the 26th Youth Festival..
• International Youth Day is commemorated every year on 12 August.
• The theme of International Youth Day 2022 is "Intergenerational Solidarity: Creating a World for All Ages".

Additional InformationBhagat Singh 

• Bhagat Singh was a little more than 21 years when he threw a bomb into the assembly in protest against the government.
• He became a member of the Hindustan Republican Association founded by Sachindranath Sanyal in 1924 at Kanpur.
• He started a militant youth organization called the Naujawan Bharat Sabha. in 1925.
• He was associated with the Hindustan Socialist Republican Association in 1928.
• He was associated with the Lahore Conspiracy case and Central Assembly Bombing Case(1929).
• Bhagat Singh was arrested and charged in the Saunders murder case, along with Rajguru, Sukhdev, and was hanged on 23rd March 1931.
• 23rd March is observed as ‘Martyrs’ Day’ or ‘Shaheed Diwas’ or ‘Sarvodaya Day’ in honour of Bhagat Singh, Rajguru, and Sukhdev.

Khudiram Bose

• On 11 August 1908, Khudiram Bose was hanged at the age of 18.
• Khudiram Bose, along with Prafulla Chaki, decided to murder the Magistrate of Muzaffarpur, Bihar named Kingsford.
• Kingsford was very unpopular as he was known to pronounce harsh sentences even for mild offences.
• Khudiram was hanged on August 11, 1908, on charges of bombing the carriage of Kingsford, in the attack of which barrister Pringle Kennedy's wife and daughter were killed.
• He sacrificed his life on the altar of freedom struggle at the very young age of 18.
• The Muzaffarpur Jail, where he was executed was renamed Khudiram Bose Memorial Central Jail.

Subhash Chandra Bose:

• He was elected as the President of INC at its Haripura Session (1938) and Tripuri Session (1939) but resigned from Tripuri due to differences with Mahatma Gandhi.
• He took charge of the Indian Army (Azad Hind Fauj) in 1943 in Singapore and set up an Indian Provisional government there.
• Subhash Chandra Bose was the one who addressed Mahatma Gandhi as the Father of the Nation.
• He gave the famous slogans–Dilli Chalo and Jai Hind.
• The Indian Struggle was his autobiography.
• He was called Desh Nayak by Rabindranath Tagore.

The correct answer is 940.

Key Points 

• As per the census 2011, with regards to the sex ratio, the number of females per 1000 males in India was 943 (approx. 940).
• The sex ratio is used to describe the number of females per 1000 males.
• Sex ratio is a valuable source for finding the population of women in India and what is the ratio of women to that men in India.
• The Sex Ratio 2011 shows an upward trend from the census 2001 data.
• Census 2001 revealed that there were 933 females to that of 1000 males.

Additional Information Census in India:

• It was done for the first time in 1872 under the British Viceroy Lord Mayo.
• After that, it is conducted at intervals every 10 years.
• However, the first complete census of India was conducted in 1881.
• Since 1949, it is conducted by the Registrar General and Census Commissioner of India under the Ministry of Home Affairs, Government of India.
• All censuses after 1951 were conducted under the 1948 Census Act.
• As of 2011, the Census of India has been conducted 15 times.

The correct answer is 1 - 2, 2 - 1, 3 - 4, 4 - 3.

Key Points

Ampere

• The rate of charge flow is specified as the electric current.
• Coulomb/Sec (C/s) is the electric current unit because the charge is measured in coulombs and time is measured in seconds.
• Coulomb/sec is defined as Ampere.
• As a result, the Ampere is the SI unit of current.

Ohm:

• Resistance of a substance is defined as its property to resist or obstruct the flow of charge (current) through it.
• ​​​The ohm (Ω) is the SI unit of electric resistance.
• 1 Ω = 1 V/A.

Kelvin 

• Kelvin is the SI unit of Temperature.
• Temperature is a Physical quantity.
• It is one of the fundamental units.
• The fundamental units are those units that are derived from fundamental quantities, as they can describe by the(SI unit) International unit.

Power

• The unit of power is the watt, and hence the unit of energy is watt-second since energy is the product of power and time.
• The watt-second is referred to as joules.

Additional InformationThere are 7 fundamental units present in nature. which are as follows-

The correct answer is All of the above.

Key Points

The Following Post can be appointed by the President of India:

• Prime Minister
• Finance Commissioner.
• Election Commissioner.
• Governor of State
• Comptroller Auditor General.
• Judge of the Supreme as well as the High Court.
• Attorney General of India
• Cabinet Minister: As per Article 74 of the Indian Constitution, there shall be a Council of Ministers to be headed by the Prime Minister for the purpose of advising the President. Such Ministers are appointed by President as advised by the Prime Minister.

Additional InformationComptroller and Auditor General of India

• It is an entity cum authority that is situated under Article 148-151 of the Indian constitution.
• After the recommendation of the Prime Minister of India, CAG is appointed by the President of India for a term of 6 years or 65 years of age, whichever is earlier.
• The salary and service conditions of CAG will be decided by the law of Parliament.
• CAG is an independent entity under the Indian Constitution.
• It is the institution through which the expenditure, and accountability of the government are being audited and other public authorities also.

Attorney General of India

• The Attorney General (AG) of India is a part of the Union Executive.
• He is the highest law officer in the country who can be part of any court in the Indian Territory.
• He got the right to speak and to take part in the proceedings of both the Houses of Parliament or their joint sitting and any committee of the Parliament of which he may be named a member.
• He has no right to vote when he participates in the proceedings of the Indian Parliament.
• Similar to a Member of Parliament, he also enjoys all powers related to immunities and privileges.
• He is not considered a government servant.

Governor of the state

• The Governor of the state is appointed by the President.
• According to Article 155, The Governor of a State shall be appointed by the President by warrant under his hand and seal.
• The Governor is the head of the executive of the state.
• The term of the governor's office is normally 5 years but it can be terminated earlier by dismissal by the President (usually on the advice of the prime minister of the country).
• One person can be appointed as Governor for two or more states.
• Article 157- A person to be eligible for appointment as Governor should be a citizen of India and have completed the age of 35 years.

Given:

Average of square of first five natural numbers.

Concept used:

Average

Calculation

Average = $\frac{{1 + 4 + 9 + 16 + 25}}{5}$

Average = $\frac{{55}}{5}$

Average = 11

Average of square of first n natural numbers = $\frac{{(n + 1)(2n + 1)}}{6}$

As per the question here n = 5

⇒ $\frac{{(5 + 1)(10 + 1)}}{6}$

∴ 11 is the average.

Given:

C’s 1 day’s work $= \frac{1}{4} - \frac{1}{{12}} - \frac{1}{{16}} = \frac{{12 - 4 - 3}}{{48}} = \frac{5}{{48}}$

∴ C can complete the work in $= \frac{{48}}{5} = 9\frac{3}{5}days$

Detailed Solution:

A’s 1 day’s work = 1/16

B’s 1 day’s work = 1/12

(A + B + C)’s 1 day’s work = 1/4

∴ (A + B)’s 1 day’s work = (1/16 + 1/ 12) =7/48

∴ C’s 1 day’s work = (1/4) – (7/48) = 5/48

∴ C can complete the whole work in (48/5) = $9\frac{3}{5};days$

Correct Answer is (b).

 Key Points

• The error in this sentence lies in the usage of double negatives.
• In English, we generally avoid using two negatives (like 'hardly' and 'no') to make a positive statement.
• 'Hardly' and 'no' together create a conflicting and incorrect sentence structure. It should either be 'hardly any' or 'no'.
• The corrected sentence could be: "With the development of vaccine, there are hardly any cases of small pox or yellow fever, anywhere in the world." Or alternatively: "With the development of vaccine, there are no cases of small pox or yellow fever, anywhere in the world."

Therefore, the correct answer is Option 2.

The correct answer is To prevent Soil erosion.

Key Points

Project Sabujayan-2015

• Project Sabujayan-2015 was launched in West Bengal, India.
• It aims to Prevent soil erosion along riverbanks and to Promote greenery and afforestation in West Bengal.
• It also developed the aroma industry in West Bengal by promoting the cultivation of vetiver grass and other aromatic grasses.
• It also created the employment opportunities in rural areas through the cultivation of vetiver grass
• The primary objective of the project was to combat climate change and its adverse effects on the Sundarbans region.
• The Sundarbans is located in the delta region of the Padma, Meghna, and Brahmaputra river basins.
• This unique forest area extends across the southern part of West Bengal and Bangladesh.

Given Data:

• One worker can pack 15 boxes every two minutes.
• Another worker can pack 15 boxes every three minutes.

Solution:

Worker 1's work rate: 15 boxes / 2 minutes = 7.5 boxes per minute

Worker 2's work rate: 15 boxes / 3 minutes = 5 boxes per minute

To find the combined work rate, we add the work rates of the two workers:

Combined work rate = Worker 1's work rate + Worker 2's work rate

                  = 7.5 boxes per minute + 5 boxes per minute

                  = 12.5 boxes per minute

Now, let's calculate the time it will take to pack 300 boxes at the combined work rate:

Time = Number of boxes / Combined work rate

     = 300 boxes / 12.5 boxes per minute

     = 24 minutes

Therefore, it will take the two workers, working together, 24 minutes to pack 300 boxes.

Correct Answer is (a)

 Key Points

• The error in this sentence is the incorrect use of the relative pronoun 'which'.
• 'Which' is typically used for things, not people. In this case, since we're referring to athletes (people), the appropriate relative pronoun would be 'who'.
• The corrected sentence would read: "A number of the athletes who were participating in Olympics were found to have used steroids and other muscle building substances to enhance their performance."

Therefore, the correct answer is Option 1.

The correct answer is '1' i.e. as walking .

Key Points

• Parallelism: In English grammar, when comparing two actions, both should be in the same grammatical form. The sentence starts with the gerund "Jogging." Therefore, it should be compared with another gerund, "walking."
• Correlative Comparison: The phrase "the same" is typically followed by the preposition "as" to complete the comparison (e.g., "the same as"). (के समान/के जैसा)
• Word Economy: Comparing "Jogging" directly to "walking" is more concise and grammatically sound than using conditional phrases like "as if you walk."

Correct sentence: Jogging a kilometre uses the same number of calories as walking two kilometres.

Additional Information

• "Than" vs "As":
• Usage: "Than" is used with comparative adjectives (more, faster, better). "As" is used with "the same."
• Example: Jogging is faster than walking. (Correct) / Jogging is the same as walking in terms of benefit. (Correct)
• Gerunds as Subjects:
• Structure: Verb + ing acts as a noun.
• Example: Swimming is a great exercise.
• Hypothetical Comparisons (As if/As though):
• Usage: These are used to describe something that is not true or a hypothetical state, not for direct numerical or factual comparisons.
• Example: He talked as if he were an expert.

The correct answer is Sarojini Naidu.

Key Points ​Salt Satyagraha Movement

• On March 2, 1930, Mahatma Gandhi was informed about the plan of action.
• Sarojini Naidu was among the leaders who accompanied Mahatma Gandhi during the Dandi March
• According to his plan, Gandhi, along with a band of 78 members of Sabarmati Asharam, was to march from his headquarters in Ahmedabad through the villages of Gujrat for 240 miles.
• On reaching the coast of Dandi, the salt law was to be violated by collecting salt from the beach.
• The historic march, marking the launch of the Civil Disobedience Movement, began on March 12, and Gandhiji Broke the salt law at Dandi on April 6.
• Dandi March was organised in the year 1930 from Sabarmati Ashram in Ahmedabad to Dandi, under the leadership of Gandhi.
• It is also known as the Salt Satyagraha or Civil Disobedience Movement.
• Lord Irwin was viceroy during the launch of the Civil Disobedience Movement.

Calculation:

Let the ratio be 1 : x

⇒ (15 × 1) + (20 × x) = (1 + x)16.5

⇒ 15 + 20x = 16.5 + 16.5x

⇒ 20x - 16.5x = 16.5 - 15

⇒ 3.5x = 1.5

⇒ x = 1.5/3.5

⇒ x = 3/7

The ratio = 1 : (3/7) = 7 : 3

Alternate Method

Ratio = 7 : 3

The correct answer is 'Had we agreed to purchase the house today'.

 Key Points

• The original sentence uses an 'if' clause to discuss a hypothetical situation in the past. However, the tense used ('would have saved') indicates that the action did not actually happen.
• In English, we typically use a 'had + past participle' structure in the 'if' clause when talking about hypothetical past events.
• This is called a third conditional sentence.
• 'Had we agreed to purchase the house today' is the correct phrase according to the third conditional structure, making the full sentence: "Had we agreed to purchase the house today, we would have saved Rs. 50,000."

Therefore, the correct answer is Option 2.

The correct answer is Nadia.

• The Tropic of Cancer passes through Nadia district, West Bengal, India.
• Tropic of Cancer passes the districts in West Bengal are Purulia, Bankura, Bardhaman, and Nadia.

Key Points 

• The Tropic of Cancer is a parallel of latitude on the Earth, 23.5 degrees north of the equator.
• Mahi River is the only river in India that cuts the Tropic of Cancer twice, first in Madhya Pradesh from where it flows towards Rajasthan and enters Gujarat where it cuts for the second time.

Additional Information 

• The Tropic of Cancer passes through eight states in India: Gujarat (Jasdan), Rajasthan (Kalinjarh), Madhya Pradesh (Shajapur), Chhattisgarh (Sonhat), Jharkhand (Kanke), West Bengal (Krishnanagar), Tripura (Udaipur) and Mizoram (Champhai).

Given Data:

x = \sqrt{{15^2} - {12^2}}

Solution:

x = \sqrt{{225 - 144}}

x = \sqrt{81}

Taking the square root of 81 gives us:

x = 9

Now, we can calculate the value of x²:

x² = 9^2

x² = 81

Hence, the correct answer is option 4) 81.

Correct Answer is with.

 Key Points

• The preposition 'with' is used to describe using something to do something else. In this context, 'with' is used to indicate the use of Sunita's left hand to write.
• When referring to the use of body parts to perform certain actions, the preposition 'with' is the most appropriate choice.
• 'On', 'in', and 'by' do not convey the correct relationship between the subject (Sunita) and the action (writes).
• The corrected sentence reads: "Sunita writes with her left hand", indicating that Sunita uses her left hand to write.

Therefore, the correct answer is Option 2.

The correct answer is Mathematician.

Key Points 

• National Mathematics Day is celebrated every year on December 22.
• Former PM Manmohan Singh declared the 2012 year as National Mathematics Year
• It is observed to honour the birth anniversary of the world-famous mathematician Srinivasa Ramanujan who greatly contributed towards mathematical analysis, number theory, infinite series and continued fractions.

Additional Information Srinivasa Ramanujan

• In 1911, Ramanujan published the first of his papers in the Journal of the Indian Mathematical Society.
• Ramanujan travelled to England in 1914, where Hardy tutored him and collaborated with him in some research.
• He worked out the Riemann series, the elliptic integrals, the hypergeometric series, the functional equations of the zeta function, and his own theory of divergent series.

Given Data:

1. The length of the rectangle is four times its width.
2. The perimeter of the rectangle is 40 centimeters.

Solution:

Let the width of the rectangle be w.

The length of the rectangle is 4w.

The perimeter of the rectangle is given by 2(w+4w)=10w.

We are given that the perimeter is 40 centimeters, so 10w=40.

Solving for w, we find that w=4.

The length of the rectangle is 4w=4⋅4=16.

The area of the rectangle is given by lw=16⋅4= 

64 cm2

​Hence, the correct answer is option 4) 64 cm².

According to dictionary 

(3) Whither

(5) Worked

(4) Worst

(1) Wound 

(2) Writer

The correct answer is ​Dr. Verghese Kurien.

• The white revolution is considered to be one of the largest dairy movements started by the government of India in the year 1970.

Key Points 

• The father of the white revolution is Dr. Verghese Kurien, who was also the founder of Amul which is now the largest producer of milk in the country.
• Dr. Verghese Kurien along with H.M. Dalaya also invented the process of making milk powder from condensed buffalo milk.
• The program which was initiated that further led to the white revolution is called operation flood. Hence, option 1 is the correct answer.
• This initiative by the Indian government proved to be revolutionary as it connected the milk producers and sellers of the country to consumers from about 700 towns and cities across the country.
• The key features of the white revolution were to the adoption of new methods for animal husbandry and the altering of the composition of feed ingredients
• the white revolution was initiated in three phases— phase I, phase II, and phase III.
• Phase I The first phase was started in the year 1970 with the objective of setting up milk co-operatives in 18 milk sheds in 10 states.
• Phase II This phase led to dairy development in the states of Karnataka, Rajasthan, and Madhya Pradesh.
• Phase III This phase aimed at consolidating the aim of the first two phases by improving the productivity and efficiency of the dairy sector.

Important Points 

Other important revolutions related to the agriculture sector are

• Pink Revolution - Meat and Poultry sector; Onion production, Pharmaceuticals, and Prawn production
• White Revolution - Increasing Milk production
• Yellow Revolution - Increasing Edible Oilseeds Production
• Green Revolution - Increasing Foodgrains production
• Golden Revolution - Increasing Horticulture and Honey Production
• Golden Fibre Revolution - Increasing Jute Production

Given Data:

1. The Mayor has Rs. 45,000 allotted to spend on the sanitation department, the police department, and the fire department.
2. 1/5 of the money goes to the sanitation department.
3. 2/3 of the remaining money goes to the police department.

Solution:

First, let's calculate the amount of money that goes to the sanitation department:

Money allotted to the sanitation department = (1/5) * Rs. 45,000 = Rs. 9,000

Next, let's calculate the remaining amount of money after deducting the money for the sanitation department:

Remaining money = Total money - Money allotted to the sanitation department

               = Rs. 45,000 - Rs. 9,000

               = Rs. 36,000

Now, let's calculate the amount of money that goes to the police department:

Money allotted to the police department = (2/3) * Remaining money

                                      = (2/3) * Rs. 36,000

                                      = Rs. 24,000

Finally, let's calculate the amount of money left for the fire department:

Money left for the fire department = Remaining money - Money allotted to the police department

                                 = Rs. 36,000 - Rs. 24,000

                                 = Rs. 12,000

Therefore, the Mayor has Rs. 12,000 left for the fire department.

Hence, the correct answer is option 4) Rs. 12,000.

The correct answer is '4' i.e. she takes little interest in school .

Key Points

• The sentence expresses a general fact or a current state of Ritha's behavior based on her expectations.
• For general truths, habits, or ongoing states that are true in the present, the Simple Present Tense is the most appropriate choice.
• Tense Consistency: The first part of the sentence establishes a reason ("Because Ritha expected..."). To describe her current resulting behavior, the simple present "takes" is more natural than the present continuous "is taking" when referring to a general lack of interest.
• The structure "takes little interest" is a standard way to describe a person's general attitude or disposition.

Correct sentence: Because Ritha expected not to go to college, she takes little interest in school.

Additional Information

• Simple Present Tense:
• Usage: Used for habits, general truths, and fixed states. (साधारण वर्तमान काल)
• Example: He works hard because he wants to succeed.
• Simple Past Tense:
• Usage: Used for actions that were completed in the past. (सामान्य भूतकाल)
• Example: She took the bus yesterday.
• Simple Future Tense:
• Usage: Used for actions that will happen at a later time. (सामान्य भविष्य काल)
• Example: They will take the exam next month.

The correct answer is National sample survey Organization.

• The National Sample Survey Office (NSSO), formerly called the National Sample Survey Organisation was the largest organization in India conducting periodic socio-economic surveys.

Key Points NSSO

• The NSSO was set up in 1950 to conduct large-scale sample surveys throughout India.
• The employees of the NSSO are from the Indian Statistical Service (appointed through the UPSC) and the Subordinate Statistical Service (appointed through the Staff Selection Commission).
• The main divisions of NSSO are:
• Survey design and research division- headquarters located in Kolkota
• Field's operation division- Headquarters located in Delhi/Faridabad
• Data Processing division- Headquarters in Kolkota
• Coordination and publication division- Headquarters in Delhi

The details of the NSSO are mentioned in the table below:   

Calculation:

First, it's important to understand that 1 Rupee is equivalent to 100

paisa. So Rs. 30 is equivalent to 3000 paisa.

Let's denote the number of 25 paisa coins as x, 10 paisa coins as

2x, and 5 paisa coins as 3x. 

According to the question:

25x (for the 25 paisa coins) + 10(2x) (for the 10 paisa coins) + 5(3x

(for the 5 paisa coins) = 3000

⇒ 25x + 20x + 15x = 3000

⇒ 60x = 3000

So, x = 3000 / 60 = 50

Since x represents the number of 25 paisa coin = 3x = 3 × 50 = 150

So, the number of 5 paisa coins is 150. 

Alternate Method 

Given 

In a bag there are coins of 25 paisa, 10 paisa and 5 paisa in the ratio = 1 : 2 : 3

Total Rupees = Rs 30 

Formula used 

Total value = value per coin × no. of coins

Calculation 

                          25 p      10p      5p

Value per coin     25      :    10      :   5

No. of coin             1     :         2    :   3

Total value =       25     :     20        :  15

Let the ratio be x 

60x = 30 × 100 

⇒ x = 50

No. of coins of 5 paisa = 3 × 50 = 150

∴ The required answer is 150 coins

Correct Answer is 'maltreat'.

 Key Points

• The word 'maltreat' means to treat someone or something badly, cruelly, or violently. This fits in the context of the sentence as Kavita is described as a person who would never cause harm to animals.
• The other options - 'love', 'accept', and 'keep' - do not match the context of the sentence, as they do not inherently indicate causing harm or acting violently towards animals.
• An example sentence using 'maltreat': Despite being a strict trainer, he made sure never to maltreat the animals under his care.

Therefore, the correct answer is Option 2.

The correct answer is Colombia.

Key Points

• The Nobel Peace Prize for 2016 was awarded to Juan Manuel Santos.
• Juan Manuel Santos was the President of Colombia at the time he received the award.
• He was recognized for his resolute efforts to end Colombia's civil war, which lasted for more than 50 years.
• The Nobel Peace Prize acknowledged Santos's role in establishing a peace agreement with the Revolutionary Armed Forces of Colombia (FARC) rebel group.

Additional InformationNoble Prize

• The Royal Swedish Academy of Sciences
• It awards the noble prize in Physics, Chemistry.
• It is an independent organization aims to promote the science and enhance their influence in society.
• Norwegian Noble Committee
• It awards the Nobel Prize in Peace.
• Karolinska Institute awards the noble prize in medicine.
• Swedish Academy awards the noble prize in literature.
• The Sveriges Riksbank awards the noble prize in Economics

Nobel Prize

• It was started on December 10, 1901, in the honor of Alfred Nobel.
• It was awarded in the fields of physics, chemistry, medicine, literature, peace, and economics( started in 1968).
• All Noble Prizes was awarded in Stockholm, Sweden, except Nobel Peace Prize, which was awarded in Oslo, Norway.

Given Data:

1. The sum of two numbers is 10.
2. One of the numbers is equal to the sum of 6 and twice the other number.

Solution:

Let's assume the smaller number as "x" and the larger number as "y".

From the first statement, we have:

x + y = 10

From the second statement, we have:

x = 6 + 2y

Now, we can solve these equations to find the values of x and y.

Substituting the value of x from the second equation into the first equation, we get:

6 + 2y + y = 10

3y + 6 = 10

3y = 10 - 6

3y = 4

y = 4 / 3

Substituting the value of y into the equation x + y = 10, we get:

x + 4/3 = 10

x = 10 - 4/3

x = (30 - 4) / 3

x = 26 / 3

Now, we can calculate the value of the larger number minus the smaller number:

 x - y =  26/3 - 4/3 

           = 22 / 3

Therefore, the value of the larger number minus the smaller number is 22/3.

Hence, the correct answer is option 2) 7(1/3).

The correct answer is light, illuminated.

 Key Points

• The term "light" appropriately describes what fireworks generate. When fireworks explode, they produce a significant amount of light.
• The word "illuminated" correctly describes the state of the night sky during a fireworks display. Fireworks brighten the sky, making it seem as if it was daytime.
• This sentence effectively uses metaphorical language ("almost as if it was the middle of the day") to emphasize the intensity of light from the fireworks.
• In context, both "light" and "illuminated" fit naturally and make the sentence grammatically and semantically correct.

Therefore, the correct answer is Option 3.

The correct answer is Gatimaan Express.

• Gatimaan Express is the fastest train on Indian Railway.

Key Points

• The current fastest train in India is the Gatimaan Express with a top speed of 160 km/h (99 mph), which only runs between Delhi and Jhansi.
• The train takes 265 minutes to cover the 403 km journey from Hazrat Nizamuddin to Jhansi Junction railway station.
• Prior to the 2014 general election, the two major national parties (Bharatiya Janata Party and Indian National Congress(INC)) pledged to introduce high-speed rail.

About Gatimaan Express

• Avg Speed: 91 km/h (57 mph)
• Start: Hazrat Nizamuddin Delhi (NZM)
• End: Jhansi
• Distance travelled: 403 km (250 mi)
• Operating speed: Max: 160 km/h (99 mph)

Additional Information 

• Vande Bharat Express, also known as Train 18, is an Indian higher-speed intercity electric multiple units.
• India's longest train journey begins at Dibrugarh in Assam and ends at the country's southernmost point Kanyakumari, in Tamil Nadu.
• Along the way, the Dibrugarh-Kanyakumari Vivek Express covers a distance of 4,286 km.
• A five-day journey that sees the passengers traverse through nine Indian states.
• Shatabdi Express trains are a series of fast passenger trains operated by Indian Railways to connect Metro cities.
• With other Major cities for tourism, pilgrimage & business purposes.
• Shatabdi Express are day trains and they return to the station of origin the same day.