RRB NTPC CBT-I Official Paper (Held On: 8 Feb 2021 Shift 1) (Previous Year Paper)

Given:

The corresponding altitudes of two similar triangles are 8 cm and 11 cm.

Concept used:

In similar triangles, the Ratio of areas is equal to the ratio of squares of the corresponding sides and altitudes.

Calculations:

According to the concept,

area of first ∆ : area of second ∆ = (altitude of first∆)² : (altitude of second ∆)²

⇒area of first ∆ : area of second ∆ = (8)² : (11)²

⇒area of first ∆ : area of second ∆ = 64 : 121

Hence, The Required ratio is 64 : 121.

Given:

On dividing 15,971 by a certain number, the quotient is 55 and the remainder is 21.

Concept used:

Dividend = Divisor × Quotient + Remainder

Calculations:

Let the quotient be x.

According to the question,

15,971 = 55 x + 21

⇒ 15,971 - 21 = 55x

⇒ 15,950 = 55x

⇒ x = 15,950/55

⇒ x = 290

Hence, The Required value of the Quotient is 290.

The correct answer is PARAM MITRA

Key Points

• Param Mitra Investments Private Limited is an Indian Non-Government Company. It's a private company and is classified as'company limited by shares
• Company's authorized capital stands at Rs 916.0 lakhs and has 83.48308% paid-up capital which is Rs 764.71 lakhs
• Param Mitra Investments Private Limited is majorly in Finance business and currently, company operations are active.
• Company is registered in Delhi (Delhi) Registrar Office.

Additional Information

• PARAM 8000, India's 1st Giga-scale supercomputer in 1990. PARAM 10000, 100 Gigaflop supercomputer in 1998. PARAM Padma, 1Teraflop supercomputer in 2002. This was India's first supercomputer to enter the Top500 list of supercomputers of the world (ranked 171 in June 2003).
• The state-of-the-art supercomputing system is a supercomputing facility is being established at IISER, Pune under build approach of National Supercomputing Mission with a peak computing power of 797 TeraFlops.
• PARAM 8600 was an improvement over PARAM 8000. In 1992 C-DAC realised its machines were underpowered and wished to integrate the newly released Intel i860 processor.

The pattern followed in the given series is:

       The difference between the numbers is an increasing multiple of 5.

Hence the correct answer is option 2.

The correct answer is MGNREGA.

Key Points

• The Mahatma Gandhi National Rural Employment Guarantee Act (MGNREGA), also known as Mahatma Gandhi National Rural Employment Guarantee Scheme (MNREGS) is Indian legislation enacted on August 25, 2005.
• The MGNREGA provides a legal guarantee for one hundred days of employment in every financial year to adult members of any rural household willing to do public work-related unskilled manual work at the statutory minimum wage.
• National Rural Employment Guarantee Act 2005 or NREGA, later renamed as the Mahatma Gandhi National Rural Employment Guarantee Act.

Additional Information

• The Pradhan Mantri Gram Sadak Yojana is a nationwide plan in India to provide good all-weather road connectivity to unconnected villages
• Pradhan Mantri Jan Dhan Yojana is a financial inclusion program of the Government of India open to Indian citizens, that aims to expand affordable access to financial services such as bank accounts, remittances, credit, insurance and pensions.
• Skill India or the National Skills Development Mission of India is a campaign launched by Prime Minister Narendra Modi. It is managed by the National Skills Development Corporation of India

The correct answer is OPEC- Zurich

Key Points

• OPEC (Organization of the Petroleum Exporting Countries) is an intergovernmental organization oil demand supply market upstream downstream Vienna Austria
• Currently, the Organization comprises 15 Member Countries – namely Algeria, Angola, Congo, Ecuador, Equatorial Guinea, Gabon, IR Iran, Iraq, Kuwait, Libya, Nigeria, Qatar, Saudi Arabia, United Arab Emirates and Venezuela.

Additional Information

• The World Bank is an international financial institution that provides loans and grants to the governments of low- and middle-income countries for the purpose of pursuing capital projects
• The North Atlantic Treaty Organization is headquartered in a complex in Haren, part of the City of Brussels municipality of Belgium.
• UNICEF, in full originally called the United Nations International Children's Emergency Fund, now officially United Nations Children's Fund, is an agency of the United Nations responsible for providing humanitarian and developmental aid to children worldwide

The correct answer is Udham Singh

Key Points

• Udham Singh was an Indian revolutionary belonging to Ghadar Party and HSRA.
• Best known for assassinating Michael O'Dwyer, the former lieutenant governor of the Punjab in India, on 13 March 1940

Additional Information

• Bhagat Singh was a charismatic Indian revolutionary who participated in the mistaken murder of a junior British police officer in what was to be retaliation for the death of an Indian nationalist.
• Chandra Shekhar Tiwari under its new name of Hindustan Socialist Republican Association (HSRA) after the death of its founder, Ram Prasad Bismil, and three other prominent party leaders, Roshan Singh, Rajendra Nath Lahiri and Ashfaqulla Khan.
• Mangal Pandey was an Indian soldier who played a key part in the events immediately preceding the outbreak of the Indian rebellion of 1857. He was a sepoy in the 34th Bengal Native Infantry regiment of the British East India Company. In 1984, the Indian government issued a postage stamp to remember him..

The correct answer is A-D-C-B

Key Points

• The Jallianwala Bagh massacre, also known as the Amritsar massacre, took place on 13 April 1919.
• A large peaceful crowd had gathered at the Jallianwala Bagh in Amritsar, Punjab, to protest against the Rowlatt Act and arrest of pro-independence activists Saifuddin Kitchlew and Satyapal.
• Massacre took place 103 years ago today (April 13, 1919). According to British government records, 379 people including men, women, and children were killed while 1,200 were injured in the indiscriminate firing ordered by Colonel Reginald Dyer.

Additional Information

• Noncooperation movement, unsuccessful attempt in 1920–22, organized by Mahatma Gandhi, to induce the British government of India to grant self-government, or swaraj, to India. It was one of Gandhi's first organized act.
• The Flag Satyagraha was a term coined to describe the hoisting of the flag as a defiance against British-imposed restrictions on civil freedom and also the legitimacy of British rule in India altogether.
• The Quit India Movement, also known as the August Movement, was a movement launched at the Bombay session of the All India Congress Committee by Mohandas Gandhi on 8th August 1942, during World War II, demanding an end to British rule in India.

The correct answer is Stamp duty

Key Points

• Stamp duty is a tax that is levied on single property purchases or documents.
• A physical revenue stamp had to be attached to or impressed upon the document to show that stamp duty had been paid before the document was legally effective

Additional Information

• In India, Entertainment Tax is a tax imposed by the government on feature films getting a wide release in the country and are reduced from gross collections, major commercial shows and big private festivals.
• The amount after deducting entertainment tax is known as net.Central excise duty is an indirect tax, i.e. each person, rich or poor, is liable to pay tax indirectly on purchase of goods which have already been charged to duty.
• Value-added tax (VAT) is a consumption tax on goods and services that is levied at each stage of the supply chain where value is added, from initial production to the point of sale.

The correct answer is Fibre To The Premises

Key Points

• The term residential fiber to the premises (FTTP) refers to equipment used in fiber access deployments.
• Fibers extend all the way to the end-user premises and the equipment is designed and optimized for use in residential applications.

Additional Information

• Fibre to the premises connections require an NBN access network device (pictured) that is to be installed in your home.
• If you aren't yet connected, you may be required to pay $300 to set the connection up

The correct answer is Funaria

Key Points

• Funaria is a genus of approximately 210 species of moss.
• Funaria hygrometrica is the most common specie
• The name is derived from the Latin word “funis”, meaning "a rope".

Additional Information

• Ulothrix is a genus of non-branching filamentous green algae, generally found in fresh and marine water. Its cells are normally as broad as they are long, and they thrive in the low temperatures of spring and winter.
• Ulva is a small genus of marine and brackish water green algae. It is edible and is often called 'Sea Lettuce'. Species with hollow, one-layered thalli were formerly included in Enteromorpha, but it is widely accepted now that such species should be included in Ulva.
• Chara is a genus of charophyte green algae in the family Characeae. They are multicellular and superficially resemble land plants because of stem-like and leaf-like structures

The correct answer is Robert Azevedo

Key Points

• Roberto Carvalho de Azevêdo is a Brazilian career diplomat who served as Director-General of the World Trade Organization from 2013 until 2020. Since 2020, he has been Executive Vice President and Director of Corporate Affairs at PepsiCo
• Succedded To Pascal Lamy as an Director- General of the World Trade Organization.

Additional Information

• Pascal Lamy is a French political consultant and businessman. He was the Director-General of the World Trade Organization. He was then succeeded by Roberto Azevêdo.
• Charles A. Gomez is a Gibraltarian lawyer, Principal Barrister of Charles Gomez & Company, politician, Leader of the right of centre New Gibraltar Democracy Party and an Honorary Professor of International Law at the University of Cadi
• David Walker was an American abolitionist, writer, and anti-slavery activist. Though his father was enslaved, his mother was free; therefore, he was free as well.

The correct answer is IIT Madras.

Key Points

• The National Institutional Ranking Framework (NIRF) was approved by the MHRD .
• Launched by Honourable Minister of Human Resource Development on 29th September 2015.
• This framework outlines a methodology to rank institutions across the country.

Additional Information

• The Indian Institute of Technology Madras is known both nationally and internationally for excellence in technical education, basic and applied research, innovation, entrepreneurship and industrial consultancy.
• In 1969 these three colleges were amalgamated to form the Institute of Technology. The Institute of Technology, Banaras Hindu University (IT-BHU), has been converted into Indian Institute of Technology (Banaras Hindu University),Varanasi by the Government of India on 29th June, 2012.
• Jawaharlal Nehru University is a public major research university located in New Delhi, India. It was established in 1969 and named after Jawaharlal Nehru, India's first Prime Minister. The university is known for leading faculties and research emphasis on social sciences and applied sciences

Given:

The length of a rectangle is thrice its breadth.

The perimeter of the rectangle = 240 m 

Formula used:

Perimeter of a rectangle = 2(Length + Breadth) 

Calculation:

Let the breadth be = b,

then, length is 3b

240 m = 2(3b + b)

⇒ 240 = 8b

⇒ b = 30 m

Now, length = 3b

⇒ 3b = 3(30) = 90 

⇒ length = 90 m

So, Area = l × b = 90 × 30 = 2700 m²

∴ The Area of the rectangle is 2700 m².

The correct answer is Punjab

Key Points

• India's forest cover is now7,13,789 square kilometers (21.71% of the country's geographical area) which is an increase from 67% in 2019.
• Tree cover is defined as all tree patches of size less than one hectare occurring outside the recorded forest area.

Additional Information

• The Union Territory of Lakshadweep has the highest forest cover of 90.33%.
• Area-wise Madhya Pradesh has the largest forest cover in the country followed by Arunachal Pradesh, Chhattisgarh, Odisha and Maharashtra. In terms of forest cover as percentage of total geographical area.
• The top five States are **Mizoram (84.53%), Arunachal Pradesh (79.33%), Meghalaya (76.00%), Manipur (74.34%) and Nagaland (73.90%). 17 states/UT'**s have above 33 percent of the geographical area under forest cover

Explanation:

From the given statement:

If none of the employees submit their work report by tomorrow, then the monthly project will be in a crisis.

We consider the given courses of action:

i. The date of submission of work report must be extended: The statement suggests that being late will result in crisis and there is no indication towards the date being extended so it will be wrong to assume. Thus this course of action does not follow. 

ii. Some employees must speed up and submit their work report by tomorrow: After the reminder of the due date the work will be done as soon as possible which means those employees who are behind the schedule will definitely speed up the working rate. Therefore this course of action follows. 

iii. The cause of late submission of work report by most employees must be figured out and proper counter; measures must be taken: If the work is submitted late then there will be a discussion about why it happened and then the mistakes will be avoided in the next projects. Thus this course of action follows.

So, only actions (ii) and (iii) follow.

Hence the correct answer is option 2.

The correct answer is Jamnagar

Key Points

• Institute of Teaching and Research in Ayurveda Jamnagar, Gujarat, India which was founded in 1967.
• It has a joint campus with, an Institute of National Importance, established in 2020.
• Established in 1967, Institute of Teaching & Research in Ayurveda or Gujarat Ayurved University is the first university to offer education and training in the field of Ayurveda across the world.

Additional Information

• The institution was formed by an act approved by Gujarat State legislative Assembly in the year 1965.
• Located in Jamnagar city of Gujarat, the university is devoted to Ayurvedic studies and Research and is administratively associated with the Health Ministry at State and Centre level.
• This university is a self-governing institution supported by the Government of Gujarat State.

Explanation:

The pattern followed in the given series is:

      (Difference of top two terms) + third term = Fourth term

Let's apply the pattern on the given series:

1. (18 - 8) + 7 = 17 
   

     10 + 7 = 17 

      17 = 17 

2. (22 - 15) + 7 = 14
   

     7 + 7 = 14

     14 = 14

3. (18 - 14) + 13 = ?
   

     4 + 13 = ? 

     17 = Answer

Hence the correct answer is option 2.

Explanation:

Preparing the family tree using the following symbols:

From the given information:

Step 1: Selena is the sister of James and James is the father of Eden.

Step 2: Marco is James' sister's son.

Step 3: Eden's husband Robert has a friend, Ileana, who is Selena's aunt.

We don't have to draw any further because the relation we want is already in the diagram.

We can see that, Robert is daughter's husband to James.

Hence the correct answer is option 3.

Explanation:

The pattern followed in the given options are:

Option 1) FIUR:- 

Option 2) BDYW:- 

Option 3) NPMK:- 

Option 4) GIVO:- 

So, GIVO is the odd one.

Hence the correct answer is option 4.

The correct answer is Paraguay

Key Points

• South America is the fourth largest continent in the world and has twelve sovereign countries and two non-sovereign areas
• Of these countries in South America there are two countries that are landlocked: Bolivia and and Paraguay.

Additional Information

• ​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.
• It can also be described as the southern subregion of a single continent called America

The correct answer is Reserve Bank of India is private bank of India.

Key Points

• The Reserve Bank of India (RBI) is the central bank of India whose primary function is to manage and govern the financial system of the country.
• It is a statutory body established in the year 1935 under the Reserve Bank of India Act, 1934.
• The central bank regulates the issue and supply of the Indian rupee.

Additional Information

• State Bank of India is an Indian multinational public sector bank and financial services statutory body headquartered in Mumbai, Maharashtra. SBI is the 43rd largest bank in the world.
• Allahabad Bank was an Indian nationalised bank with its headquarters in Kolkata, India. Founded in Allahabad in 1865 and nationalized by the government of India in 1969, the bank provided banking and financial services for 155 years .
• ICICI Bank, India's largest private sector bank, today announced the launch of “ATM on Wheels”, India's first Mobile ATM, in Mumbai. The fully networked mobile ATM will be stationed at specific locations.

Given:

Sum of two numbers = 30

Sum of their reciprocals = $\frac{6}{25}$

Calculation:

Let the two numbers be a and b.

a + b = 30 and  $\frac{1}{a}+\frac{1}{b}=\frac{6}{25}$

Sum of their reciprocals:

(1/a) + (1/b) = (a + b)/ab

⇒ $\frac{6}{25}=\frac{30}{ab}$

⇒ ab = 125

⇒ a(30 - a) = 125

⇒ a² - 30a + 125 = 0

⇒ a2 - 25a - 5a + 125 = 0

⇒ a(a - 25) - 5(a - 25) = 0

⇒ (a - 25)(a - 5) = 00

⇒ a = 25 , 5

⇒ b = 5, 25

∴ The numbers are 5 and 25.

The correct answer is 1st

Key Points

• The list of states and union territories is mentioned in the first schedule of the Constitution of India.
• Schedule of the constitution states: Names of the States and their territorial jurisdiction.

Additional Information

• Eighth Schedule to the Constitution of India lists the official languages of the Republic of India and English is not one of them. At the time of writing the Constitution of India, there were only 14 languages mentioned in the 8th schedule.
• The Fifth Schedule of the Constitution deals with the administration and control of Scheduled Areas as well as of Scheduled Tribes residing in any State other than the States of Assam, Meghalaya, Tripura and Mizoram.
• 12th Schedule of the Indian Constitution deals with the provisions that specify the powers, authority and responsibilities of Municipalities. This schedule was added by the 74th Amendment Act of 1992. It has 18 matters. Urban planning including town planning.

The correct answer is Tamil Nadu

Key Points

• Kerala, is situated between the Arabian Sea (Lakshadweep Sea) to the west and the Western Ghats to the east. Kerala's coast runs some 580 km in length.
• Kerala lies between northern latitude of 8°.17'.30" N and 12°. 47'.40" N and east longitudes 74°.27'.47" E and 77°.37'.12" E.
• The latitude of Tamil Nadu, India is 11.127123, and the longitude is 78.656891.
• Tamil Nadu, India is located at India country in the States place category with the gps coordinates of 11° 7' 37.6428'' N and 78° 39' 24.8076'' E.

Additional Information

• Rajasthan geographical location is 23.3 to 30.12 North latitude and 69.30 to 78.17 East longitude, with the Tropic of Cancer passing through its southernmost tip.
• Biodiversity Profile of Uttarakhand. Uttarakhand the 27th state of Republic of India lies between 28o 44' & 31o 28' N Latitude and 77o 35' & 81o 01' East longitude. It was carved out of UP on 9th November 2000. The geographical area of the state is 53483 sq.

The correct answer is 7th September.

Key Points

• International Day of Clean Air for Blue Skies – September 7, 2022. International Day of Clean Air for Blue Skies on September 7 is observed to recognize the importance of clean air in our health and daily lives.
• Nairobi, 7 September 2021 – The world today marked the second International Day of Clean Air for blue skies under the theme Healthy Air, Healthy Planet, which highlights the link between air quality and planetary and human health.

Additional Information

• The theme for this year's International Day of Clean Air for blue skies is “Healthy Air, Healthy Planet” which emphasizes the health effects of air pollution, particularly during the COVID-19 pandemic

Explanation:

From the given information:

Step 1: Pallavi walked from her college library, 70 m towards the north, then 60 m towards the east.

Step 2: Then 45 m towards the north and then 60 m towards the west.

Step 3: She stopped at this point to buy some candies from a candy shop. She again walked 50 m towards the north.

Now we can see that the distance from candy shop to the starting point i.e library will be:

 45m + 70m = 115m  and the direction will be south.

Hence the correct answer is option 1.

The correct answer is Rabindra Nath Tagore

Key Points

• Rabindranath Tagore, was a South Asian Bengali polymath who worked as a poet, writer, playwright, composer, philosopher, social reformer and painter.
• He reshaped Bengali literature and music as well as Indian art with Contextual Modernism in the late 19th and early 20th century.

Additional Information

• Ishwar Chandra Vidhyasagar, is considered the "Father of Bengali prose". He was the most prominent campaigner for Hindu widow remarriage, petitioning the Legislative council despite severe opposition.
• Bankim Chandra Chatterjee also known as Bankim Chandra Chattopadhyay was one of the greatest novelists and poets of India. He is famous as author of Vande Mataram, the national song of India.
• Sri Aurobindo was an Indian philosopher, yoga guru, maharishi, poet, and Indian nationalist. He was also a journalist, editing newspapers such as Vande Mataram

Given:

Current population is 8,47,000

Growth percentage is 20%

Time is 2 years

Formula used:

A = P(1 + r/100)t

Here, A = Total population after 3 year

P = Current population

r = Growth percentage

t = Time

Calculation:

Population = 847000(1 + 20/100)2

⇒ Population = 847000(1 + 1/5)2

⇒ Population = 847000(6/5)²

⇒ Population = (847000 × 6 × 6)/(5 × 5)

⇒ Population = 30492000/25

⇒ A = 12,19,680

∴ Population of town after 2 year is 12,19,680.

The correct answer is Bombyx mori

Key Points

• Bombyx mori, the domestic silk moth, is an insect from the moth family Bombycidae.
• It is the closest relative of Bombyx mandarina, the wild silk moth. The silkworm is the larva or caterpillar of a silk moth. It is an economically important insect, being a primary producer of silk.
• Bombyx mori produce a fluid in their silk glands that is forces through spinnerets on their mouths. This fluid hardens in the air to produce the silk thread that they will wrap around themselves to form their cocoons.

Additional Information

• A butterfly is a flying insect with a small body and large, often colorful wings. Some gardeners plant specific flowers that attract butterflies. Butterflies are closely related to moths, which also have wings that are large in proportion to their bodies and antennae.
• Culex is a genus of mosquitoes, several species of which serve as vectors of one or more important diseases of birds, humans, and other animals.
• The house fly, Musca domestica Linnaeus, is a well-known cosmopolitan pest of both farm and home. This species is always found in association with humans or the activities of humans. It is the most common species found on hog and poultry farms, horse stables and ranches.

The correct answer is Dr Vikram Sarabhai

Key Points

• Vikram Ambalal Sarabhai was an Indian physicist and astronomer who initiated space research and helped develop nuclear power in India.
• He was honoured with Padma Bhushan in 1966 and the Padma Vibhushan in 1972.
• He is internationally regarded as the Father of the Indian Space Program

Additional Information

• Satish Dhawan was an Indian mathematician and aerospace engineer, widely regarded as the father of experimental fluid dynamics research in India. Born in Srinagar, Dhawan was educated in India and further on in United States.
• Dr. Kasturirangan is a member of several important scientific academies, both within India and abroad. He is presently the President of the Indian Academy of Sciences at Bangalore and General President of the Indian Science Congress.
• Chairman, Space Commission and Secretary, Department of Space in 1984, Prof. Rao accelerated the development of rocket technology, resulting in the successful launch of ASLV rocket and the operational PSLV launch vehicle, which can launch 2.0 ton class of satellites into polar orbit.

Given:

Numbers are in the ratio 11 : 16 : 23.

Sum of numbers is 150.

Calculations:

Let the first, second and third number is 11x, 16x and 23x.

According to the question,

11x + 16x + 23x = 150

⇒ 50x = 150

⇒ x = 3

So, the first number is = 11(3) = 33

and The second number = 16(3) = 48

And the third number = 23(3) = 69

As, 69 > 48 > 33

∴ The greatest number is 69.

Given:

A man's income is increased by 20% and later on, increased again by 30%.

Concept used: 

Increase% = (total increase / initial) × 100

Calculations:

Let the income be 100.

Then, according to the question,

first increased income = 100 + 20 = 120

Second increased income

= 120 + 30% of 120

= 120 + 0.3 × 120 

= 120 + 36

= 156

 So, the Total increase 

= Second increased income - initial income

= 156 - 100

= 56

Therefore, the total increase percentage

= $\frac{56}{100}×100$

= 56%

Hence, The Total increase Percentage is 56%.

Given:

The difference between the exterior and interior angles at a vertex of a regular polygon is 140°

Formula Used:

Interior angle of a polygon having side n = (n – 2)180°/n

Calculations:

Let Ai and Ae be interior and exterior angles

Sum of Ai and Ae = 180°,

So, Ai + Ae = 180

∴ Ai - Ae = 140

So, solving for Ae & Ai

Ae = 20°

Ai = 160°

Interior angle of a polygon having side n = (n – 2)180°/n

∴ 160° = (n – 2)180°/n

⇒ 160n = 180n – 360

⇒ 360 = 20n

⇒ n = 18

Thus the number of sides are 18.

The correct answer is AFSCB

Key Points

• AFSB has been conferred with this prestigious award on 8 December 2020 by the eminent jury of FICCI India Sports Awards 2020 that was chaired by Justice Mudgal.
• The award function took place virtually through video conferencing on 8 December 2020 and Air Commodore Ashutosh Chaturvedi, chairman, AFSCB, received the prestigious award from the president of FICCI

Additional Information

• Hockey India plans, directs and conducts all the activities for both men and women hockey in India. It is recognized by the Ministry of Youth Affairs & Sports, Govt. of India as the sole body responsible towards promoting Hockey in India. It was formed after Indian Hockey Federation was dismissed in 2008 by IOA.
• The Board of Control for Cricket in India is the governing body for cricket in India. Its headquarter. The BCCI is an autonomous organisation and does not fall under the purview of the National Sports Federation of India
• The Sports Authority of India is the apex national sports body of India, established in 1982 by the Ministry of Youth Affairs and Sports of Government of India for the development of sports in India.

The correct answer is Narora Nuclear Reactor-Rajasthan

Key Points

• Narora Atomic Power Station (NAPS) is a nuclear power plant located in Narora, Bulandshahar District in Uttar Pradesh, India.
• There are two operational units called IN-7 Narora 1 and IN-8 Narora 2 power plants.
• The design, construction, and operation of Narora are managed by the NPCIL

Additional Information

• It is the third-largest nuclear power plant in India, Kaiga Atomic Power Station (KAPS), located in Karwar district, is near river Kali in Karwar district of Karnataka, operated by state-run Nuclear Power Corporation of India Ltd (NPCIL)
• Kudankulam Nuclear Power Plant is the largest nuclear power station in India, situated in Kudankulam in the Tirunelveli district of the southern Indian state of Tamil Nadu.
• Tarapur Atomic Power Station is located in Tarapur, Palghar, India. It was the first commercial nuclear power station built in India

Given:

Exterior angles of a regular octagon

Concept Used:

Measure each exterior angle of a regular octagon = 360º ÷ Number of sides

Calculation:

⇒ Total sum of all exterior angles of a regular octagon = 360º

⇒ Number of sides in octagon = 8

⇒ So, Measure of each angle = $\frac{360}{8}=45$º

Therefore, the measure of each exterior angle of a regular octagon is 45º.

The correct answer is Rajya sabha.

Key Points

• Rajya Sabha:
• The Rajya Sabha should consist of not more than 250 members  238 members representing the States and Union Territories, and
• 12 members nominated by the President.
• Rajya Sabha is a permanent body and is not subject to dissolution.
• The Rajya Sabha or Council of States is the upper house of the Parliament of India.
• However, one-third of the members retire every second year and are replaced by newly elected members.
• Each member is elected for a term of six years.
• The Vice President of India is the ex-officio Chairman of Rajya Sabha.
• The senior-most minister, who is a member of Rajya Sabha, is appointed by the Prime Minister as Leader of the House.

Additional Information

• Indian Parliament
• The Parliament consists of the two Houses-
• the Lok Sabha and the Rajya Sabha and the President of India.
• According to Article 79 of the Indian Constitution, there shall be a Parliament for the Union which shall consist of the President and two Houses to be known respectively as the Council of States and the House of the People.

Given:

Numbers between 109 and 121, including 109 and 121.

Concept used:

Prime numbers: Numbers divisible by 1 and itself.

Calculations:

Numbers between 109 and 121, including 109 and 121.

⇒ 109, 110, 111, 112, 113, 114, 115, 116, 117, 118,119, 120 and 121

As we know, 

110, 112, 114, 116, 118, and 120 are divisible by 2.

and 111, 114, and 117 are divisible by 3.

Also, 115 is divisible by 5, 119 is divisible by 17, and 121 is divisible by 11.

109 and 113 are two prime numbers.

Hence, The Required number of prime numbers is 2.

Explanation:

The pattern followed in the given figures is:

    Sum of numbers in the squares = Two digit numbers in the star

Let's apply the pattern:

1. 12 + 3 = 15
   

    15 = 15

1. 9 + 12 = 21
   

    21 = 21

1) 8 + 14 = 22

    2?

So, the digit missing is 2.

Hence the correct answer is option 4.

Explanation:

From the given options:

Option 1) Rajasthan-200 : It is correct

Option 2) Delhi-50 : It is not correct. Delhi has 70 Vidhan Sabha MLAs.

Option 3) Uttarakhand-70 : It is correct

Option 4) Maharashtra-288 : It is correct

So, Delhi-50 is odd one.

Hence the correct answer is option 2.

Explanation:

From the given statements:

1. Some of the language taught in this school are English, Portuguese, Tamil and Sanskrit.
   
2. Neither Arabic nor French is taught in this school.
   
3. All language are taught by well-qualified teachers in this school.
   

Now we consider the given conclusions:

(i) Some other languages are also taught in this school apart from English, Portuguese, Sanskrit and Tamil: We have some languages that are taught and some languages that are not taught but there is no information about exactly how many languages are taught so there is a possibility that there are some other languages that are not mentioned are taught. So the conclusion follows.

(ii) Tamil is taught by a well-qualified teacher in this school: From statement 1 and 3 we can clearly see that Tamil is taught and it is taught by well-qualified teacher so this conclusion is on point. Thus the conclusion follows.

(iii) Either Arabic or French is taught in this school: According to statement 2 the information given is completely contradicting with this conclusion which means this conclusion does not follow.

So, only conclusions (i) and (ii) follow.

Hence the correct answer is option 2.

The correct answer is The physical fibre and optical devices that distribute signals to users in a telecommunications network.

Key Points

• The Optical Distribution Network (ODN) is a key segment of fiber-based networks, connecting the central office and terminal user.
• Its design, construction process and operational management features are strategic for operators.

Additional Information

• Costs associated to the ODN represent about 60% of the total cost.
• Which of them are needed for connecting a household to an FTTx network, and the ODN needs to be easy to expand in order to cover new households in the long run.

Given:

cos37° sec143° + sin34° cosec146°

Concept used:

secA = - sec(180° - A), where A is in second quadrant.

cosecA = cosec(180° - A), where A is in second quadrant.

Calculations:

According to question,

cos37° sec143° + sin34° cosec146°

= cos37° [-sec(180° - 143°)] + sin34°cosec (180° - 146°)

= cos37°[- sec 37°] + sin34°cosec34°

= - cos37° × $\frac{1}{cos37°}$ + sin34° × $\frac{1}{sin34°}$

= -1 + 1

= 0

Hence, The Required value is 0.

Explanation:

The smallest six digit number is - 100000

the greatest six digit number is - 999999

Sum = 100000 + 999999

Answer = 1099999

Hence the correct answer is option 3.

Explanation:

The pattern followed in given series is:

     Sum of numbers in each column = 15

Let's apply the pattern on the given series:

Column 1) 4 + 5 + 2 + 4 = 15

                  15 = 15  

Column 2) 7 + 1 + 3 + 4 = 15

                  15 = 15 

Column 4) 3 + 2 + 9 + 1 = 15

                  15 = 15 

Column 3) 7 + 4 + ? + 2 = 15 

                  13 + ? = 15 

From the given options we substitute the value, 

 13 + 2 = 15 

 15 = 15

Hence the correct answer is option 2.

The correct answer is Kalidas

Key Points

• Kalidasa was a Classical Sanskrit author who is often considered ancient India's greatest poet and playwright.
• His plays and poetry are primarily based on the Vedas, the Ramayana, the Mahabharata and the Puranas.
• His surviving works consist of three plays, two epic poems and two shorter poems.

Additional Information

• Shudraka was an Indian playwright, to whom three Sanskrit plays are attributed: Mrichchhakatika, Vinavasavadatta, and a bhana, Padmaprabhritaka. According to the prologue of Mrichchhakatika, he was a king; according to one theory, he may have been a third century Abhira king
• Bhāsa is one of the earliest and most celebrated Indian playwrights in Sanskrit, predating Kalidasa. His name was already well-known by the 1st century BCE and he belongs to the late-Mauryan period at the earliest, but the thirteen plays attached to his name are commonly dated closer to the first or second.
• Chanakya, also called Kautilya or Vishnugupta, Hindu statesman and philosopher who wrote a classic treatise on polity, Artha-shastra “The Science of Material Gain”.

The correct answer is Varahamitra

Key Points

• The Brihat-Samhita by Varaha Mihira is an encylopedia of wide ranging subjects of human interest, including astrology, planetary movements, eclipses, rainfall, clouds, architecture, growth of crops, matrimony, domestic relations, gems, pearls and rituals.
• It contains one hundred and six chapters

Additional Information

• Kalhana was the author of Rajatarangini, an account of the history of Kashmir. He wrote the work in Sanskrit between 1148 and 1149. All information regarding his life has to be deduced from his own writing.
• Nagarjuna, Indian Buddhist philosopher who articulated the doctrine of emptiness (shunyata) and is traditionally regarded as the founder of the Madhyamika (“Middle Way”) school, an important tradition of Mahayana Buddhist philosophy.
• Charaka was one of the principal contributors to Ayurveda, a system of medicine and lifestyle developed in Ancient India. He is known as an editor of the medical treatise entitled Charaka Samhita, one of the foundational texts of classical Indian medicine and Ayurveda.

Given:

Speed = 110 km/h and returning speed = 50 km/h

Formula used:

Average speed = 2ab/(a + b)

Calculation:

a = 110 km/h, b = 50 km/h

According to the concept:

S = (2 x 110 x 50)/160

⇒ S = 68.75 km/h

∴ The average speed is 68.75 km/h.

Given:

A sum of money becomes 500 after 1 year and 550 after 2 years when compounded annually.

Calculations:

Let the sum of money be P and the rate of interest be R.

Then, According to the question, we have:

500 = P(1 + $\frac{R}{100}$)¹   --------------(1)

and 550 = P(1 + $\frac{R}{100}$)²----------(2)

On dividing equation (2) by (1), we get:

$\frac{550}{500}$ = 1 + $\frac{R}{100}$

⇒ 1.1 = 1 + (0.01)R

⇒ (0.01)R = 0.1

⇒ R = 10 %

Hence, The Required rate of interest is 10% p.a.

Explanation:

A quartet is a group of 4 similar things, in this case a quartet looks like this:  

We consider the given figures: 

Figure 1) There is at least one quartet present in the pattern.

Figure 2) There is at least one quartet present in the pattern.

Figure 3) There is no quartet present in the pattern.

Figure 4) There is at least one quartet present in the pattern.

So, Figure 3 is odd one.

Hence the correct answer is option 4.

The correct answer is Identification of Hepatitis C virus

Key Points

• Hepatitis C is a liver infection caused by the hepatitis C virus (HCV).
• Hepatitis C is spread through contact with blood from an infected person,An infection caused by a virus that attacks the liver and leads to inflammation
• Hepatitis C is treated with antiviral medication.
• HCV is usually curable with oral medications taken every day for two to six months.

Additional Information

• The new drug, Krintafel (tafenoquine), prevents relapse of malaria caused by Plasmodium vivax, one of several parasites that causes the disease. Currently, patients with P. vivax require a 10-day treatment and many don't complete the regimen, leading to malaria recurrence.
• Autophagy is a highly conserved cellular degradation process in which portions of cytosol and organelles are sequestered into a double-membrane vesicle, an autophagosome, and delivered into a degradative organelle, the vacuole/lysosome, for breakdown and eventual recycling of the resulting macromolecules.

Given:

4 digits are given 3, 5, 0, and 6.

Calculations:

As we know, 

0 < 3 <  5 < 6

To get the smallest number of four digits,

Thousands digit place should be the least possible digit.

i.e., 0 but when we use 0 then the number becomes 3 digits so, we use the next possible least digit i.e., 3

⇒3, ,,__

Now, in hundred digit place, there should be the least unused digit i.e., 0 

⇒3, 0,,

now, on the tenth digit place next least possible unused digit will be placed i.e.,5

⇒3, 0, 5,__

now, only 6 are left so, the number is 3056.

Hence, The Required number is 3056.

Given:

10 years ago, the average age of a husband and his wife was 42 years. Now, the average age of the family consisting of the husband, wife, and son is 39 years.

Concept Used:

Average = (Sum of the value of all the numbers)/(Total numbers)

Calculations:

The average age of husband and wife 10 yrs back was 42

∴ Present average age of husband and wife = 42 + 10 = 52

Average = (Sum of the value of all the numbers)/(Total numbers)

52 = Sum of ages/2

⇒ Sum of ages of husband and wife = 104

Also, the Sum of ages of Husband, wife, and son together = 39 × 3 = 117

Age of son

= sum of Family's age - a sum of husband and wife's age

= 117 - 104

= 13 years

Hence, The son's age is 13 years.

The correct answer is Spioogyra

Key Points

• Spirogyra is a filamentous charophyte green alga of the order Zygnematales, named for the helical or spiral arrangement of the chloroplasts that is characteristic of the genus. It is commonly found in freshwater habitats, and there are more than 400 species of Spirogyra in the world

Additional Information

• Marsilea is a genus of approximately 65 species of aquatic ferns of the family Marsileaceae.These small plants are of unusual appearance and do not resemble common fern
• Thuja is a tree. The leaves and leaf oil have been traditionally used as medicine. Thuja is used as a flavoring agent in foods and beverages and as a fragrance in the manufacturing of cosmetics and soaps.
• Ferns are vascular plants differing from lycophytes by having true leaves (megaphylls), which are often pinnate. They differ from seed plants (gymnosperms and angiosperms) in reproducing by means of spores and they lack flowers and seeds.

The correct answer is A.P.J. Abdul Kalam

Key Points

• Ignited Minds: Unleashing the Power Within India is a book written by A. P. J. Abdul Kalam, President of India from 2002 to 2007.
• The book is a logical step forward from Dr. Kalam's earlier book, India 2020.
• A Vision for the New Millennium and consists of many inspirational messages by A P J Abdul Kalam.

Additional Information

• Robin Sharma is a Canadian writer, best known for his The Monk Who Sold His Ferrari book series. Sharma worked as a litigation lawyer until age 25, when he self-published MegaLiving, a book on stress management and spirituality.
• Nilanjana Sudeshna "Jhumpa" Lahiri is an American author known for her short stories, novels and essays in English, and, more recently, in Italia
• Chetan Baghat, a rising star in the contemporary modern Indian literature, is a multitalented personality. He is a novelist, columnist, public speaker and a screenplay writer. His notable works include Five Point Someone, The 3 Mistakes of My Life and 2 States.

Given:

960 cm long rod is cut into small pieces of 17 cm length.

Calculations:

According to the question,

No. of small pieces

= 960 ÷ 17

= 56.470

But we need to find a maximum number of pieces of length 17 cm cut from 960 cm long rod.

Hence, The Required number of pieces is 56.

Given:

Vicky can complete the work in 40 days,

Vicky worked for 8 days and the rest work was finished by Gurpreet Singh in 32 days.

Calculations:

No of the days taken by Vicky to finish the work= 40

So part of the work done by Vicky in 1 day= 1/40

Part of work done by Vicky in 8 days= 8/40 = 1/5

The remaining part = 1 - $\frac{1}{5}$ = $\frac{4}{5}$

No of days taken by Gurpreet to finish 4/5 part = 32

Part of the work done by Gurpreet in 1 day = $\frac{\frac{4}{5}}{32}$

=$\frac{4}{5}×\frac{1}{32}$ = $\frac{1}{40}$

Part of work done by both together in 1 day = (1/40) + (1/40) = 2/40 = 1/20

So, the number of days taken both together to finish the work = 1/(1/20) = 20 days

Hence, They both can together complete the work in 20 days.

Given:

The HCF and LCM of the two numbers are 75 and 450 respectively.

If the first number is divided by 3, the quotient is 75.

Concept used:

HCF × LCM = Product of the numbers 

Dividend = Divisor × Quotient + Remainder

Calculations:

According to the question,

First number is 

= 3 × 75

= 225

And, According to the concept:

HCF × LCM = 225 × (second number)

⇒ 75 × 450 = 225 × second number

⇒ second number = 150

Hence, The Second number is 150.

Given:

The area of the rectangle = 1287 cm2

Ratio of length and breadth = 13 : 11

Formula used:

Area of rectangle = length × breadth

Perimeter of rectangle = 2(l + b)

Calculation:

Let the length and breadth of the rectangle be l and b respectively

⇒ l : b = 13 : 11

⇒ l = 13b/11 ...(1)

Area of rectangle = 1287 cm2 

⇒ l × b = 1287 cm2 .....(2)

Solving equations (1) and (2) we get,

⇒ (13b/11) × b = 1287

⇒ (b)2 = 1287 × 11/13 = 1089

⇒ b = 33 cm

Put the value of b in equation (1) we get,

⇒ l = (13 × 33)/11 cm

⇒ l = 39 cm 

Now, 

Perimeter of rectangle = 2(39 + 33) cm

⇒ 144 cm

∴ Perimeter of the rectangle is 144 cm.

The correct answer is Uttarakhand

Key Points

• The Bhotiya, tribe people are native (indigenous) people belonging to Himalayan Belt.
• In Nepal they live in the northern and eastern regions of Nepal, where they and other Tibetans are the region's autochthonous (indigenous) people.

Additional Information

• Bhil is the largest tribal group in India as per 2011 Census. They constitute approximately 38% of the total scheduled tribal population of India.
• Bhil tribes are found in the states of Maharashtra, Chhattisgarh, Gujarat, Rajasthan, Madhya Pradesh, as well as in Tripura.
• A major tribal groups of Madhya Pradesh consist of Gond, Bhil, Baiga, Korku, Bhariya, Halba, Kol, Mariya and Sahariya.
• Among them, Baiga, Bhariya and Sahariya are notified as Particularly Vulnerable Tribal Groups (PVTGs) .

Explanation:

The relation between the given pair is:

Writer : Pen -- Occupation : Essential object to work

Now we consider the given options:

Option 1) Chef : Pan - Chef uses a pan to cook.

Option 2) Tailor : Dress - Tailor uses thread and needle to stitch and not dress.

Option 3) Swimmer : Float - Swimmer uses water to swim and not float.

Option 4) Dancer : Program - Dancer uses floor to dance and not program. 

So, Chef : Pan matches the relation.

Hence the correct answer is option 1.

The pattern followed in the given series is:

The difference between the terms is a multiple of 5 multiplied by increasing power of 3.

Hence the correct answer is option 3.

Given:

Rs.110 contained in a box consists of one rupee, 50 paise, and 25 paise coins in the ratio of 1 : 2 : 3.

Calculation :

Let the number of coins = x

So, the number of Rs. 1 coins = x

Number of 50 paise coins = 2x 

Number of 25 paise coins = 3x 

According to the question,

1(x) + $\frac{1}{2}$(2x) + $\frac{1}{4}$(3x) = 110

⇒x + x + $\frac{3}{4}$x = 110 

⇒2x + $\frac{3}{4}$x ​= 110

⇒$\frac{11x}{4}$= 110 

⇒x = 10 × 4

⇒x = 40

 Hence, x = 40  

The number of 50 paise coins are 2x = 2(40) = 80 

∴ The number of 50 paise coins is 80.

Explanation:

The relation used in the given pair is:

Judge : Verdict -- Occupation : Main work

Similarly, 

Coach : ? -- ? will be the main work of a coach.

Now we consider the given options: 

Option 1) Sports - Coach is a teacher of sports.

Option 2) Team - Coach makes the team.

Option 3) Player - Coach select the player.

Option 4) Train - Training is the main work of a coach.

So, Train matches the relation.

Hence the correct answer is option 4.

The correct answer is endangered plants and animals.

Key Points

• Red Data Book of the Russian Federation, also known as Red Book or Russian Red Data Book.
• It is a state document established for documenting rare and endangered species of animals, plants and fungi.

Additional Information

• Red data book is The document establishded by IUCN for documenting the rare and endangered species of plants, animals, fungi and also a few local species that exist within a state or country.
• It divides species into nine categories: Not Evaluated, Data Deficient, Least Concern, Near Threatened, Vulnerable, Endangered, Critically Endangered, Extinct in the Wild and Extinct.

The correct answer is South Korea

Key Points

• South Korea won the tournament for the third time after defeating India 4–2 on penalties, after the match ended in a draw at 1–1, in the final.
• The number of teams for this year's cup is the same as last year's tournament where six teams competed. India, Canada, Japan, Malaysia, Poland, and South Korea participated in this edition of the Sultan Azlan Shah Cup.

Additional Information

• The Sultan Azlan Shah Cup is an annual invitational international men's field hockey tournament held in Malaysia.
• It began in 1983 as a biennial contest. The tournament became an annual event after 1998, following its growth and popularity

The correct answer is Mangifera indica

Key Points

• Mangifera indica, commonly known as mango, is a species of flowering plant in the family Anacardiaceae.
• It is a large fruit tree, capable of growing to a height of 30 metres.
• There are two distinct genetic populations in modern mangoes – the "Indian type" and the "Southeast Asian type".

Additional Information

• The apple tree (Malus pumila, commonly and erroneously called Malus domestica) is a deciduous tree in the rose family best known for its sweet, pomaceous fruit, the apple.
• The potato (Solanum tuberosum) is a herbaceous annual that produces a tuber, also called a potato.
• Musa × paradisiaca is the accepted name for the hybrid between Musa acuminata and Musa balbisiana. Most cultivated bananas and plantains are triploid cultivars either of this hybrid or of M. acuminata alone.

Explanation:

From the given words:

Students, Boys, Swimmers 

Students can be boys and they can be swimmers so there is a possibility of having all three in common. 

Now the Venn diagram will be:

So, the option 2 matches the Venn diagram.

Hence the correct answer is option 2.

The correct answer is Canada and USA

Key Points

• Niagara Falls consists of two waterfalls on the Niagara River, which marks the border between New York and Ontario, Canada.
• The American Falls, located on the American side of the border, and the Canadian or Horseshoe Falls located on the Canadian sideMost of the tallest falls in the world have very little water flowing over them.

Additional Information

• It's the combination of height and volume that makes Niagara Falls so breathtaking.
• The rapids above the falls reach a maximum speed of 40 km/hr or 25 mph, with the fastest speeds occur at the falls themselves (recorded up to 68 mph.)

Given:

Dimensions of Cuboid = 24 cm × 16 cm × 16 cm

Side of cube = 8 cm

Calculations:

According to the question,

Volume of the cuboid

= 24 × 16 × 16

= 6144 cm3

And, Volume of one cube

= 8 × 8 × 8 cm3

= 512 cm³

Now, The number of cubes = Volume of Cuboid/ Volume of cube = 6144/512 = 12

∴ The Required number of cubes is 12.

Given:

One angle of a parallelogram is 39° less than twice the smallest angle.

Concept:

The total sum of all angles of parallelogram = 360°

Diagonally opposite angles in a parallelogram are equal.

Calculation:

Let the smaller angle be x, then

Larger angle = 2x – 39°,

(2x - 39°) + (2x - 39°) + x + x = 360°

⇒ 2x + 2x + 2x – 78° = 360°

⇒ 2x + 2x + 2x = 360° + 78°

⇒ 6x = 438°

⇒ x = 438°/6

⇒ x = 73°

∴ The Smallest angle of a parallelogram is 73°.

Given:

Rinku does twice the work as done Deepak,

They both together take 28 days to complete the work.

Calculations:

Let Rinku does the work in x days then Deepak does the same work in 2x days.

So, Rinku's one-day work = 1/x,

Deepak's one day's work = 1/2x

and (Rinku + Deepak)'s one-day work = 1/28, 

Now, According to the question,

1/x + 1/2x = 1/28

⇒ 3/2x = 1/28

⇒ 2x = 28 × 3

⇒ x = 42

So, Rinku takes x = 42 days to finish the work alone.

∴ Rinku alone can complete the work in 42 days.

The correct answer is NITI Ayoyog

Key Points

• The NITI Aayog serves as the apex public policy think tank of the Government of India.
• The nodal agency tasked with catalyzing economic development, and fostering cooperative federalism through the involvement of State Governments of India in the economic policy-making process using a bottom-up approach

Additional Information

• National Knowledge Commission was an Indian think-tank charged with considering possible policies that might sharpen India's comparative advantage in the knowledge-intensive service sectors. It was constituted on 13 June 2005, by the then Prime Minister of India.
• Commission for Agricultural Costs and Prices is a decentralised agency of the Government of India. It was established in 1965 as the Agricultural Prices Commission, and was given its present name in 1985.
• The Union Public Service Commission, commonly abbreviated as UPSC, is India's premier central recruitment agency for recruitment of all the Group 'A' officers under Government of India

The correct answer is Champaran Satyagraha

Key Points

• The Champaran Satyagraha of 1917 was the first Satyagraha movement led by Gandhi in India and is considered a historically important revolt in the Indian Independence Movement.
• It was a farmer's uprising that took place in Champaran district of Bihar, India, during the British colonial period.

Additional Information

• The Salt March, also known as the Salt Satyagraha, Dandi March and the Dandi Satyagraha, was an act of nonviolent civil disobedience in colonial India led by Mahatma Gandhi
• The Bardoli Satyagraha, 1928 was a movement in the independence struggle led by Sardar Vallabhai Patel for the farmers of Bardoli against the unjust raising of taxes.
• The Non-cooperation movement was a political campaign launched on 4 September 1920, by Mahatma Gandhi to have Indians revoke their cooperation from the British government, with the aim of inducing the British to grant self-governance.

Given:

 76 + 5 is divided by 6 to get a reminder.

Calculations:

According to the question, we have 

(7⁶ + 5)/6

On diving 7 by 6, we get 1 as a remainder,

So, Remainder = [(1)6 + 5]/6 = [1 + 5]/6 = 6/6 

On dividing 6 by 6, we get 0 as a remainder,

Thus, 0 is the remainder.

Hence, The Required value of Remainder is 0.

The Correct answer is Stand Up India Scheme.

Key Points

• Stand-Up India Scheme facilitates bank loans between Rs 10 lakh and Rs 1 Crore to at least one Scheduled Caste (SC) or Scheduled Tribe (ST) borrower and at least one woman borrower per bank branch for setting up a greenfield enterprise.
• This enterprise may be in the manufacturing, services, or trading sector.
• The scheme was launched by PM Modi on 5th April 2016. Stand Up India scheme was extended till 2025.

Additional Information

• Mudra loan is extended for a variety of purposes which provide income generation and employment creation.
• The individual must be above 18 years of age. The entrepreneur must either be a woman or belong to the SC or ST community.
• Several entrepreneurial success stories have come out in the district by means of the Standup India Scheme.

Given:

Ratio before adding = 7 : 9

Ratio after adding = 13 : 14.

Calculations:

Let the number added be x.

Then, According to the question,

$\frac{7+x}{9+x}$ = $\frac{13}{14}$

⇒ (7 + x)14 = (9 + x)13

⇒ 98 + 14x = 117 + 13x

⇒ x = 19

Hence, The number added is 19.

Given:

Product of L.C.M and H.C.F = 72

Difference between two numbers = 1

Formula used:

L.C.M × H.C.F = Product of numbers

Calculation:

Let the numbers be a and b

Now, ab = 72      ----(1)

And, a - b = 1     ----(2)

Factors of ab are

(2, 36), (3, 24), (4, 18), (6, 12), (8, 9)

As the difference is 1.

So, thhe numbers are 8 and 9.

∴ The two numbers are 8 and 9.

The correct answer is Hoogly

Key Points

• Kolkata harbour is situated on the Hugli river, near the Bay of Bengal. Iit is not a natural port. It is developed artificially.
• Hugli-Chuchura or Hooghly-Chinsurah is a city and a municipality of Hooghly district in the Indian state of West Bengal.
• It lies on the bank of Hooghly River, 35 km north of Kolkata.
• It is located in the district of Hooghly and is home to the district headquarters.

Additional Information

• The Godavari is India's second longest river after the Ganga river and drains into the third largest basin in India, covering about 10% of India's total geographical area. Its source is in Trimbakeshwar, Nashik, Maharashtra
• The Ganges is a trans-boundary river of Asia which flows through India and Bangladesh. The 2,525 km river rises in the western Himalayas in the Indian state of Uttarakhand.

Given:

First 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10

Concept used:

Sum of cube of n natural numbers = n2 × (n + 1)2/4

Calculation:

Sum of cube of n natural numbers

= n2 × (n + 1)2/4

Sum of cube of 10 natural numbers

= 102 × (10 + 1)2/4

= 25 × 121

= 3025

∴ The required value is 3025.

The correct answer is Mangal Pandey

Key Points

• Mangal Pandey was an Indian soldier who played a key part in the events immediately preceding the outbreak of the Indian rebellion of 1857.
• He was a sepoy in the 34th Bengal Native Infantry regiment of the British East India Company.
• In 1984, the Indian government issued a postage stamp to remember him.

Additional Information

• Bal Gangadhar Tilak, endeared as Lokmanya, was an Indian nationalist, teacher, and an independence activist. He was one third of the Lal Bal Pal triumvirate. Tilak was the first leader of the Indian independence movement. The British colonial authorities called him "The father of the Indian unrest"
• Bhagat Singh was a charismatic Indian revolutionary who participated in the mistaken murder of a junior British police officer in what was to be retaliation for the death of an Indian nationalist.

Given:

Number of Mango trees = 21

Number of Apple trees = 18

Number of Orange trees = 39

Calculations:

Let the minimum number of rows be n.

⇒ maximum number of plant in each row = HCF (18, 21, 39) = 3

⇒ minimum row = (18/3) + (21/3) + (39/3) = 6 + 7 + 13 = 26

∴ minimum number of row is 26.

Explanation:

From the given options:

Option 1) Tractor : It is used in agricultural work.

Option 2) Plough : It is used in agricultural work.

Option 3) Seed Drill : It is used in agricultural work.

Option 4) Loom : It is used in weaving cloth.

So, Loom is the odd one.

Hence the correct answer is option 4.

Given:

A book was sold for Rs. 230 with a profit of 15%.

New selling price is Rs. 210.

Concept used:

Profit %= (SP - CP)×100/CP 

Calculations:

According to the question,

115% of CP = 230

⇒ 1.15 × CP = 230

⇒ CP = 230/1.15

⇒ CP = Rs. 200

And new SP = Rs.210(given)

So, Profit %

= $\frac{(210-200)}{200}$ × 100

= 5%

Hence, on selling the book for Rs. 210, a Profit of 5% is made.

Formula Used:

Average weight = Total weight / Number of passenger

Calculation:

Total weight can be calculated as follows:

(4 × 90) + (15 × 60) + (6 × 75) + (5 × 78) + (3 × 72) + (7 × 45)

= 360 + 900 + 450 + 390 + 216 + 315

= 2631 kg

Average weight = Total weight / Number of passengers = 2631 / 40 = 65.77 kg

So, the average weight of all the 40 passengers is approximately 65.77 kg.

Given:

The given pie chart shows the spending of a country (in Rs. crore) on importing various products from a neighboring country during a particular year. 

Calculations:

Expenditure on Food and cloth 

= 2.5 + 3.5

= 6

Expenditure on machine and medicine

= 2 + 2

= 4

Ratio of expenditure on food and cloth to expenditure on machine and medicine

= 6 : 4

= 3 : 2

Hence, The Required ratio is 3 : 2.

Given:

The given bar graph shows the profit made by a software company (in $ million) over 5 years (from 2012 to 2018).

Calculations:

According to question,

Profit in year 2013-2014 

= 380

And Profit in year 2012-2013

= 300

Increase in profit made by company in year 2013-2014 over 2012-2013 is

= 380 - 300

= 80

Percentage increase

= $\frac{80}{300}$ × 100

= 26.66%

Hence, The Required percentage value is 26.66%.

Given:

The bar graph shows the production of drones (in lakhs) by three companies X, Y and Z over 6 years (from 2012 to 2017).

Calculations:

Average production of Company X in period 2014-2016 

= (40 + 50 + 35)/3

= 125/3

Average production of Company Y in period 2014-2016 

= (45 + 45 + 55)/3

= 145/3

Required Ratio

= 125/3 : 145/3

= 125 : 145

= 25 : 29

Hence, The Required ratio is 25 : 29.

Explanation:

The pattern followed in the given series is:

          The difference between the numbers is the sum of increasing odd numbers.

Hence the correct answer is option 1.

Explanation:

From the given statements:

Statement 1: All potatoes are garlic

Statement 2: Some garlic are apples.

Statement 3: Some potatoes are not apples.

Now we consider the given options:

Option 1) Some garlic are neither apples nor potatoes: We can see from the figure, some garlic are neither apples nor potatoes. Therefore, the conclusion is logically correct.

Option 2) Some apples are garlic: From statement 2 'some garlic are apples' which can be also said as some apples are garlic and the conclusion is logically correct.

Option 3) Some apples are not potatoes but they are garlic: According to the figure, it is safe to say that some apples are garlic but not potatoes and thus the conclusion is logically correct.

Option 4) All garlic are either apples or potatoes: This conclusion is contradictory with conclusion 1 which is correct. So this conclusion is not logical.

Hence the correct answer is option 4.

Explanation:

From the given figure we have:

Figure A represents the number of people who drink Coca Cola.

Figure B represents the number of people who drink Pepsi.

Figure C represent the number of people who drink Sprite.

Figure D represent the number of people who drink Fanta.

We have to find the people who drink both Pepsi and Sprite but NOT Fanta which means we have to find out the area in the figure that includes both B and C but excludes D:

The area have only 1 person.

Hence the correct answer is option 2.

Explanation:

The pattern followed in the given series is:

    Sum of numbers at base - Number at top = Number in circle

Let's apply the pattern on the given series:

1. 12 + 6 - 3 = 15
   

     18 - 3 = 15

     15 = 15

1) 18 + 3 - 6 = 15

     21 - 6 = 15

     15 = 15

1) 13 + 12 - 5 = ?

     25 - 5 = ?

     20 = Answer

Hence the correct answer is option 1.

Explanation:

The pattern followed in the given numbers is:

    (First digit)² = Second and third digit

Let's apply the pattern on the given options:

1. 416 -- (4)² = 16
   

                16 = 16 

2. 864 -- (8)2 = 64
   

                64 = 64 

3. 749 -- (7)2 = 49
   

                49 = 49 

4. 463 -- (4)2 = 63
   

                16 ≠ 63 

So, 463 is the odd one.

Hence the correct answer is option 4.