RRB NTPC CBT-I Official Paper (Held On: 11 Jan 2021 Shift 2) (Previous Year Paper)

Given:

LCM of 14, 21 and 28

Concept used:

LCM - The least common multiple or lowest common multiple, or smallest common multiple of two integers a and b usually denoted by lcm (a, b) is the smallest power integer that is divisible by both a and b.

Calculation:

LCM of 14, 21 and 28 is

⇒ 2 × 2 × 3 × 7

⇒ 84

∴ The required LCM is 84

The correct answer is Steve Jobs.

Key Points

• Apple
• Apple is an American multinational technology company.
• It was founded in 1976 by Steve Jobs, Steve Wozniak and Ronald Wayne.
• Apple is the largest information technology company by revenue.
• It is one of the Big Five American information technology companies, alongside Amazon, Google, Meta, and Microsoft.
• Current CEO- Tim Cook

Additional Information

• Bill Gates
• He is an American business magnate, software developer, investor, author, and philanthropist.
• He is a co-founder of Microsoft, along with his late childhood friend Paul Allen.
• ​Charles Flint
• He was the founder of the Computing-Tabulating-Recording Company which later became IBM.
• He was an avid sportsman and member of the syndicate that built the yacht Vigilant.

The correct answer is Srinagar.

Key Points

• Indira Gandhi Memorial Tulip garden
• Indira Gandhi Memorial Tulip garden is a tulip garden in Srinagar.
• It is previously known as Model Floriculture Center.
• It is the largest tulip garden in Asia spread over an area of about 30 ha.
• It is situated on the foothills of Zabarwan Range with an overview of Dal Lake.
• The Tulip Garden is home to around 65 varieties of tulips.

Given:

Sinθ – $√{3}$ cosθ = 0

Formula used:

tan 60° = √3

sin 60° = √3/2

cos 60° = 1/2

Calculation:

Sinθ – $√{3}$ cosθ = 0

⇒ Sinθ = √3 Cosθ 

⇒ tanθ = √3

⇒ θ = 60° 

Now,

sin2θ – cos2θ = sin²60° – cos²60° 

⇒ (√3/2)² – (1/2)²

⇒ (3/4 – 1/4)

⇒ (3 – 1)/4

⇒ 2/4

⇒ 1/2

∴ Required value is 1/2

Given:

Mohit got 30% marks and failed by 25 marks

Another student scored 38% and

He got 15 more marks than passing marks

Calculation:

According to the question

⇒ 30% + 25 = 38% – 15

⇒ (38% – 30%) = (15 + 25)

⇒ 8% = 40

⇒ 1% = 5 marks

Now,

5% = 25 marks 

Then,

The necessary pass percentage required = (30% + 5%)

⇒ 35%

∴ Required pass percentage is 35%

The correct answer is Mg.

Key Points

• ​Magnesium is a chemical element with the symbol Mg.
• Its atomic number is 12.
• It is a shiny grey solid.
• Magnesium occurs naturally only in combination with other elements.
• It is the eighth-most abundant element in the Earth's crust.
• Magnesium is the eleventh most abundant element by mass in the human body and is essential to all cells and some 300 enzymes.​

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

5 × 42 – 3 + 27 ÷ 3

⇒5 × 42 – 3 + 9

⇒ 210 – 3 + 9

⇒ 219 - 3

⇒ 216

∴ The required value is 216

Shortcut Trick

Initial base = √(10² − 8²) = √(100 − 64) = 6 ft

Final base = √(10² − 9.6²) = √(100 − 92.16) = 2.8 ft

Distance moved towards the wall = 6 − 2.8 = 3.2 ft

∴ The correct answer is 3.2 ft.

Alternate Method

Given:

Length of the ladder (Hypotenuse) = 10 ft

Initial height of the wall (Perpendicular₁) = 8 ft

Final height of the wall (Perpendicular₂) = 9.6 ft

Formula Used:

Pythagoras Theorem: Hypotenuse² = Perpendicular² + Base²

Calculations:

Let the initial distance of the ladder from the wall be x ft.

⇒ 10² = 8² + x²

⇒ 100 = 64 + x²

⇒ x² = 36 ⇒ x = 6 ft

Let the final distance of the ladder from the wall be y ft.

⇒ 10² = 9.6² + y²

⇒ 100 = 92.16 + y²

⇒ y² = 7.84 ⇒ y = 2.8 ft

Distance the ladder moved towards the wall:

⇒ Distance = x − y

⇒ Distance = 6 − 2.8 = 3.2 ft

∴ The correct answer is 3.2 ft.

Additional Information

Pythagoras Theorem

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: a² + b² = c².

Pythagorean Triplets

Sets of three integers that satisfy the Pythagoras theorem. Common examples include (3, 4, 5), (5, 12, 13), and (8, 15, 17). The first part of this question directly scales the (3, 4, 5) triplet into (6, 8, 10).

Distance vs Displacement

While the ladder length remains constant, solving for the shifting horizontal and vertical distances requires treating the movement as two completely separate right-angled triangles.

Given:

Height of tree = 15 m

Formula used:

tan 60° = √3

H² = P² – B²

Calculation:

According to the question

H2 = P2 + B²

⇒ (√3)² + (1)²

⇒(3 + 1)

⇒ H = 2

Now,

⇒ 2 + √3 = 15

⇒ 1 = 15/(2 + √3)

Then,

⇒ √3 = 15/(2 + √3)

⇒ 15/(2 + √3) × √3

⇒ 15√3/(2 + √3) m

∴ Required height from the bottom is the tree broken is $\frac{15\sqrt3}{2+\sqrt3}$ m

The correct answer is IRDAI.

Key Points

• The Insurance Regulatory and Development Authority of India (IRDAI) is a regulatory body under the jurisdiction of the Ministry of Finance, Government of India.
• It is tasked with regulating and licensing the insurance and re-insurance industries in India.
• It was constituted by the Insurance Regulatory and Development Authority Act, 1999, an Act of Parliament passed by the Government of India.

Additional Information

• ​CRISIL
• ​CRISIL is an Indian analytical company providing ratings, research, risk, and policy advisory services.
• It is a subsidiary of the American company S&P Global.
• CRISIL was the first credit rating agency in India, introduced in 1988 by the ICICI and UTI jointly with share capital coming from SBI, LIC and United India Insurance Company.

The correct answer is Polar Satellite Launch Vehicle  

Key Points

• ​PSLV (Polar S.atellite Launch Vehicle) is an indigenously-developed expendable launch system of the ISRO (Indian Space Research Organization).
• PSLV is the third generation launch vehicle of India and is the first Indian launch vehicle to be equipped with liquid stages.
• PSLV has a four-stage system comprising a combination of solid and liquid-fuelled rocket stages.
• All the operations of PSLV are controlled from the Satish Dhawan Space Center, Sriharikota, east coast, India.
• Some remarkable launches by PSLV are Chandrayaan-1 (First Indian lunar probe), Mangalyaan-1 (First Mars Orbiter Mission by India) and Astrosat (First Indian dedicated multi-wavelength space observatory).

The correct answer is 1911, Kolkata.

Key Points

• The National Anthem was first sung on the second day of the annual conference of the Indian National Congress (INC) in Kolkata on December 27, 1911.
• It was written in (Tatsama) Bengali.

National Anthem

• 'Jana Gana Mana' is the first stanza of the Bengali chant 'Bharoto Bhagryo Bidhata', penned by Nobel Laureate Rabindranath Tagore.
• The song  "Jana Gana Mana" was first printed under the title "Bharat Vidhata" in Tattva Bodhini Patrika in January 1912.
• It takes about 52 seconds for its total completion, while it takes 20 seconds for the first and last lines of the stanza.
• There is a total of five stanzas in our National Anthem.
• The Hindi version of the National Anthem was adopted by the Constituent Assembly on 24 January 1950.
• The original composition written by Rabindranath Tagore was translated into Hindi by Abid Ali.

The logic followed here is:

We add place value of all letters, we get answer:-

L(12) E(5) G(7) A(1) L(12) = 12 + 5 + 7 + 1 + 12 = 37, 

Similarly,

E(5) A(1) G(7) L(12) E(5) = 5 + 1 + 7 + 12 + 5 = 30.

Hence, "option 3" is the correct answer.

The correct answer is Aravind Adiga.

Key Points

• The White Tiger
• It is a novel by Indian author Aravind Adiga.
• It was published in 2008 and won the 40^th Man Prize.
• It provides a darkly humorous perspective of India's class struggle in a globalized world as told through a retrospective narration from Balram Halwai, a village boy.

Given:

$\sqrt{{51+}\sqrt{134+5\sqrt{42+\sqrt16+\sqrt9}}}$

Calculation:

$\sqrt{{51+}\sqrt{134+5\sqrt{42+\sqrt16+\sqrt9}}}$

$\sqrt{{51+}\sqrt{134+5\sqrt{42+\sqrt16+3}}}$

⇒ $\sqrt{{51+}\sqrt{134+5\sqrt{42+4+3}}}$

⇒ $\sqrt{{51+}\sqrt{134+5(7)}}$

⇒ $\sqrt{{51+}\sqrt{134+35)}}$

⇒ $\sqrt{{51+}\sqrt{169}}$

⇒ $\sqrt{{51+13}}$

⇒ √64

⇒ 8

∴ The required value is 8

Given:

Number of work completed by 16 men = 12 days

Number of work completed by 12 women = 32 days

Number of work completed by 16 men and 16 women together = 4 days

Formula used:

Work = Efficiency × Time

Calculation:

According to the question

⇒ 16m × 12 = 12w × 32

⇒ m = 2w

⇒ m/w = 2/1

Efficiency of 1 man = 2 units and Efficiency of 1 woman = 1 unit

Total work = 16m × 12 = (16 × 2 × 12)

⇒ 384 units

Work done by 16 men and 16 women = 4 days

⇒ 16 women = 8 men  [1 man = 2 women]

Total men who worked for 4 days = 16 + 8 = 24

So, the amount of work done by 24 men in 4 days = 24 × 2 × 4 = 192 units

Work remaining = (384 – 192) = 192 units

Now, 16 more men joined, so total men = 16 + 16 = 32

Work done by 32 men in 1 day = 32 × 2 = 64 units

The total number of days taken by 32 men to complete the remaining work = 192/64

⇒ 3 days

∴ The required time to complete the remaining work by men is 3 days

The logic followed here is:

All Cow, Sheep and Goat except dog came under the category of cattle.  

Hence, "option 4" is the correct answer.

The correct answer is 5 permanent and 10 non-permanent members.

Key Points

• UN Security Council
• The Security Council has primary responsibility for the maintenance of international peace and security.
• It is one of the six principal organs of the United Nations (UN).
• It is consists of 15 members of which 5 are permanent while the other 10 are non-permanent members.
• The permanent members are China, Russian Federation, France, the USA, and the United Kingdom.

Additional Information

• The UNO was formed on 24 October 1945.
• It was founded in San Francisco, USA.
• The headquarters were shifted to New York in 1946.

The correct answer is Mirage.

Key Points

• A mirage is a naturally-occurring optical phenomenon in which light rays bend via refraction to produce a displaced image of distant objects or the sky.
• A superior mirage is one in which the mirage image appears to be located above the real object.
• Mirage is caused due to total Internal Reflection of light by the various layers of air.​

Additional Information

• Reflection
• Reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated.
• The law of reflection says that for specular reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected.
• Diversion
• The act of changing the direction or purpose of something, especially in order to solve or avoid a problem is called diversion.
• ​Scattering
• Scattering is used to describe a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities in the medium through which they pass.​

Calculation:

$(1-\frac{1}{2})$((1-\frac{1}{3})\).......$(1-\frac{1}{9})$((1-\frac{1}{10})\)

⇒ (1 – 1/2) (1 – 1/3) (1 – 1/4) (1 – 1/5).....(1 – 1/9) (1 – 1/10)

⇒ 1/2 × 2/3 × 3/4 × 4/5....8/9 × 9/10

⇒ 1/10

∴ The required value is 1/10

Given:

Principal = Rs. 18,000

SI = Rs. 2700

Rate = 10%

Formula used:

SI = (P × R × T)/100

Calculation:

According to the question

⇒ 2700 = (18000 × 10 × t)/100

⇒ 2700 = 1800t

⇒ t = 2700/1800

⇒ t = 3/2

∴ The required time is 3/2 years

The correct answer is Dengue.

Key Points

• ​Dengue is a mosquito-borne tropical disease caused by the dengue virus.
• Its symptoms typically begin three to fourteen days after infection.
• Its symptoms include a high fever, headache, vomiting, muscle, and joint pains, and a characteristic skin rash.
• It generally takes two to seven days.

Additional Information

• Typhoid 
• It is a common bacterial disease.
• Its causative agent is the bacteria Salmonella typhi, which enters the small intestine through contaminated water and food and migrates to other organs of the body through blood.
• Its symptoms include high fever weakness, stomach pain, constipation, headache, and loss of appetite.
• Widal test is the diagnostic test for typhoid.
• Malaria
• It is a common disease caused by a protozoan Plasmodium species.
• Its transmitting agent is the female Anopheles mosquito that transfers the sporozoites of Plasmodium.
• Malaria may also cause anemia and jaundice because of the loss of red blood cells.
• Cholera
• Cholera is an infectious disease that caused severe watery diarrhea.
• It can lead to dehydration and even death if untreated.
• It is caused by eating food or drinking water contaminated with a bacterium called Vibrio cholera.

The correct answer is 6-14 years.

Key Points

• Sarva Shiksha Abhiyan provides elementary education to all children in the age group of 6 to 14 years.
• It is the Indian Government's flagship program for the achievement of the Universalization of Elementary Education.
• It is also mentioned in the 86th Amendment to the Constitution of India to make free and compulsory education. It is a fundamental right.
• According to Article 21A of the Indian constitution, the state shall provide free and compulsory education to all children aged between  6 to 14 years.
• It was implemented during the 9th five-year plan in India.
• Padhe Bharat Badhe Bharat is a nationwide program under the Sarva Shiksha Abhiyan.
• Sarva Shiksha Abhiyan along with Rashtriya Madhyamik Shiksha Abhiyan was launched to form Samagra Shiksha Abhiyan in 2018.

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

6 + 4 × 10 ÷ 2 – 9

⇒6 + 4 × 5 – 9

⇒ 6 + 20 – 9

⇒ 26 – 9

⇒ 17

∴ The required value is 17

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

5 + [72 – 6 × 4 (12 ÷ 6)] + 7 × (5 – 3)

⇒5 + [49 – 6 × 4 (12 ÷ 6)] + 7 × (5 – 3)

⇒ 5 + [49 – 6 × 4 × 2] + 7 × (5 – 3)

⇒ 5 + [49 – 48] + 7 × (5 – 3)

⇒ 5 + 1 + 7 × (5 – 3)

⇒ 5 + 1 + 7 × 2

⇒ 5 + 1 + 14

⇒ 20

∴ The required value is 20

The logic followed here is:

The numbers in the series are cubes of natural numbers.

Hence, "option 4" is the correct answer.

Given:

SP of an article = Rs. 2,340

Loss = 10%

Gain = 15%

Formula used:

SP = CP × [(100 – Loss%)/100]

SP = CP × [(100 + Gain%)/100]

Calculation:

According to the question

SP = CP × [(100 – Loss%)/100]

⇒ 2,340 = CP × [(100 – 10)/100]

⇒ 2,340 = CP × 90/100

⇒ CP = (2,340 × 100/90)

⇒ CP = Rs. 2,600

New SP = (2,600 × 115/100)

⇒ Rs. 2,990

∴ The required SP is Rs. 2,990

Alternate Method Let CP be 100%

So, SP if loss% is 10 = 90%

Now,

⇒ 90% = Rs. 2,340

Then,

⇒ 115% = Rs. (2,340 × 115/90)

⇒ Rs. (26 × 115)

⇒ 2,990

∴ The required SP is Rs. 2,990

The Venn diagram is given below:-

The shaded part is the teachers who are neither students nor principals. 

So, 5 teacherrs who are neither students nor principals.

Hence, "option 3" is the correct answer.

The logic followed here is:

Condition to be checked:

i) The number 8 not followed by the number 4 but is preceded by the number 5 are given below:-

5 → 8 → Not 4 (4)

6 5 8 2 3 5 8 1 2 5 8 3 4 3 5 6 5 4 5 8 6 5 8 4 5 8

So, there are 5 pairs in which the number 8 is not followed by the number 4 but is preceded by the number 5.

Hence, "option 1" is the correct answer.

Mistake Points 

Immediately preceded by means immediately before or to come just before.

Immediately followed by means immediately after or to come just after.

The logic followed here is:

We add place value of all letters, we get answer:-

R(18) A(1) H(8) U(21) L(12) = 18 + 1 + 8 + 21 + 12 = 60, 

Similarly,

A(1) R(18) U(21) N(14) = 1 + 18 + 21 + 14 = 54.

Hence, "option 4" is the correct answer.

Given:

The mean of ages of a group of 35 students = 16 years

Age of teacher = 52 years

Formula used:

Average = Sum of observations/Number of observations

Calculation:

According to the question

The mean ages of 35 students = (35 × 16)

⇒ 560

A old teacher joined the group = (52 + 560)

⇒ 612

Now,

The total age of students and teacher = (35 + 1) = 36 

The mean ages of the students and teacher = (612/36)

⇒ 17

∴ Required ages is 17 years

The correct answer is a unique chemical symbol.

Key Points

• ​An element is a naturally occurring pure substance made up of the same type of atoms.
• They have identical nuclei consisting of the same number of protons.
• There are 118 elements found in nature and are arranged in a table according to their atomic number known as the Periodic Table.
• The elements are represented by their symbols.
• Each element has a unique symbol and some of the symbols are derived from their Latin names.
• The periodic table shows us all the elements and their symbols.

The correct answer is Council of Ministers

Key Points

• ​Prime Minister and other Ministers are collectively known as Council of Ministers.
• There are three categories of the Ministers viz Cabinet Ministers, Minister of State, and Deputy Ministers.
• All of them are appointed by the President of India.
• The total number of ministers cannot exceed 15% of the total strength of the Lok Sabha.
• Every Minister is responsible for the acts of the officers of his department.
• He has to answer questions regarding the affair of his department in Parliament.​

Additional Information

• The President
• The Indian President is the head of the state (article 52) and he is also called the first citizen of India.
• The President is the supreme commander of the defense forces of India.
• He has pardoning power under article 72.
• Once President is elected he holds office for five years.
• President is a part of Union Executive provisions of which are dealt with Article 52-78 including articles related to President.
• Chief Minister
• Article 167 of the Indian Constitution defines the duties of the Chief Minister.
• A chief minister is understood to be "first among equals".
• Chief Minister must be a citizen of India.
• Chief Minister should be a member of the state legislature.
• Chief Minister must be 25 years of age or more.

Given:

The internal radius of hollow sphere = 3 cm

The external radius of hollow sphere = 5 cm

Radius of cylinder = 7 cm

Formula used:

Volume of hollow sp

here = 4/3π × (R³ – r³)Volume of cylinder = πr²h

Calculation:

According to the question

Volume of hollow sphere = 4/3 × π × (5³ – 3³)

⇒ 4/3 × π × (125 – 27)

⇒ 4/3 × π × 98

⇒ 392π/3 cm³

Now,

Volume of cylinder = volume of the sphere

⇒ πr²h = 392π/3

⇒ π × (7)² × h = 392π/3

⇒ 49π × h = 392π/3

⇒ h = (392π/49π × 3)

⇒ h = 8/3 cm

∴ The height of the cylinder is 8/3 cm

The correct answer is Plantation crops.

Key Points

• Plantation crops
• The term plantation crops refer to those crops which are cultivated on an extensive scale in a contiguous area owned and managed by an individual or a company.
• The crops include tea, coffee, rubber, cocoa, coconut, areca nut, oil palm, palmyra, and cashew.
• These are high-value commercial crops of greater economic importance and play a vital role in improving the Indian economy, especially in view of their export potential, employment generation and poverty alleviation, particularly in the rural sector.
• Tea, Coffee and rubber are dealt with by the Ministry of Commerce, while Coconut, cashew nut, cocoa, areca nut, oil palm yrah come under the Ministry of Agriculture.

Additional Information

• Horticulture crops
• Horticultural crops include fruits, vegetables, medicinal, aromatic, and ornamental plants.
• These crops are important dietary nutritional components and sources of medicines and aroma along with significant esthetic values for human beings.
• Adoption of horticulture is also becoming essential to meet the demands of fruits, vegetables, and other horticultural products for the fast-growing population of the world.
• Cash crops
• Cash crops are agricultural crops that are planted for the purpose of selling on the market or for export to make a profit, as distinguished from subsistence crops planted for the purpose of self-supple of the farmer.
• Cash crops are grown on a large scale and sometimes compete with the land use and resource requirements of the local community.
• Food crops
• The crops that are grown to feed the human population are known as food crops.
• There are a number of food crops grown in the country.
• Cassava, maize, plantains, potatoes, rice, sorghum, soybeans, sweet potatoes, wheat, and yams are some of the leading food crops around the world.

The logic followed here is:

2, 5 and 7 are the prime number but 10 is non prime number.

Prime number:- A number that can be divided exactly only by itself and 1.

Hence, "option 1" is the correct answer.

The correct answer is The Border Road Organisation.

Key Points

• ​The Border Roads Organisation (BRO) is a road construction executive force in India that provides support to and is a part of the Indian Armed Forces.
• BRO develops and maintains road networks in India's border areas and friendly neighboring countries.
• It includes infrastructure operations in 19 states and three union territories and neighboring countries such as Afghanistan, Bhutan, Myanmar, Tajikistan, and Sri Lanka.
• BRO is instrumental in significantly upgrading and building new India-China Border Roads.

Additional Information

• Inland Waterways Authority
• It is the statutory authority in charge of the waterways in India.
• It was constituted under IWAI Act-1985 by the parliament of India.
• Its headquarters is located in Noida, UP.
• India has an extensive network of inland waterways in the form of rivers, canals, backwaters, and creeks.

The correct answer is the railways.

Key Points

• ​The first passenger train ran in India on 16th April 1853 from Bombay to Thane.
• Railways in India were introduced during the rule of Lord Dalhousie.
• The main reason for starting railways in India is to transport goods from one place to another.
• The British rule has helped India in several technological developments since in history.
• The introduction of the railway system helped India in economical developments in India.
• It is important for a country to be developed in the following things such as technology, population, economical developments.
• The length of a normal Indian train is about 600-640 meters but the length of the first train was nearly 21 miles.

Given:

Speed of swimmer in still water = 9 km/h

Downstream = 9 km

Time = 45 min = (45/60) = 3/4

Formula used:

Speed = Distance/Time

Calculation:

Let the speed of the stream be x km/h

According to the question

⇒ 9 + x = 9/(3/4)

⇒ 9 + x = (9 × 4/3)

⇒ 9 + x = 12

⇒ x = (12 – 9)

⇒ x = 3 km/h

∴ The speed of the stream is 3 km/h

The logic followed here is:

Hence, "option 2" is the correct answer.

Calculation:

1.1 + 1.001 + 10.01 + 11.11

⇒ 2.101 + 10.01 + 11.11

⇒ 12.111 + 11.11

⇒ 23.221

∴ The required value is 23.221

The correct answer is Raipur.

Key Points

• Madhya Pradesh
• Capital- Bhopal
• National bird- Indian paradise flycatcher
• National animal- Barasingha
• National tree- Banyan tree
• National parks- Bandhavgarh National Park, Fossil National Park, Indira Priyadarshini Pench National Park, Kanha National Park, Madhav National Park, Madhav National park, Panna National park, Sanjay National Park, Satpura National Park, Van Vihar National Park.
• Raipur
• Raipur is the capital city of the Indian state of Chhattisgarh.
• Raipur is also the administrative headquarters of the Raipur District and Raipur division, and the largest city of the state.
• It was a part of Madhya Pradesh before the state of Chhattisgarh was formed on 1 November 2000.

The correct answer is Parasite.

Key Points

• The 92nd Academy Awards were presented by the Academy of Motion Picture Arts and Sciences.
• The event took place in February 2020.
• Parasite won the Oscar Awards 2020 for Best Picture.
• It is the first time that a South Korean movie has won the International Feature Film Category in the history of the Oscars.
• The director of the movie is Bong Joon Hoo, who also won the Oscar Award for Best Direction.
• Parasite won four academy awards- for Best Picture, Director, Original Screenplay, and International Feature Film.

Additional Information

• Other important awards are given were-
• Actress in Supporting role- Laura Dern
• Cinematography- Roger Deakins
• Costume Design- Jacqueline Durran
• Documentary- American Factory
• Adapted Screen Play- Jojo Rabbit

Given:

CP at discount = 20%

SP at discount = 8%

Formula used:

Profit = SP – CP

Profit% = (Profit/CP × 100)

Calculation:

Let the listed price be Rs. 100

According to the question

CP at 20% discount = [(100 – 20)/100 × 100]

⇒ (80/100 × 100)

⇒ 80

SP at 8% discount = [(100 – 8)/100 × 100]

⇒ (92/100 × 100)

⇒ 92

Profit = (92 – 80)

⇒ 12

Profit% = (12/80 × 100)

⇒ 15%

∴ His profit% is 15

Alternate MethodCP ∶ SP = (100 - 20) ∶ (100 - 8)

⇒ CP ∶ SP = 80 ∶ 92

⇒ 20 ∶ 23

Profit % = [(23 - 20)/20] × 100

⇒ 15%

Given:

The LCM of two numbers = 24 times their HCF

The sum of HCF and LCM = 750

One number = 90

Concept used:

Product of two numbers = HCF × LCM

Calculation:

Let the LCM and HCF be x and y respectively

⇒ x = 24y .....(1)

⇒ x + y = 750 ....(2)

Adding both the equations we get,

⇒ 24y + y = 750

⇒ 25y = 750

⇒ y = 30

Now put the value of y in equation (2) we get,

⇒ x + 30 = 750

⇒ x = (750 – 30)

⇒ x = 720

The other number = (HCF × LCM)one number

⇒ (720 × 30)/90

⇒ 240

∴ The other number is 240

Calculation:

Let x = 0.037...(1)

Multiplying by 10 in equation (1)

⇒ 10x = 0.37 ...(2)

Multiplying by 100 in equation (2)

⇒ 1000x = 37...(3)

Subtracting equation (2) from (3)

⇒ (1000x – 10x) = (37.37 – 0.37)

⇒ 990x = 37

⇒ x = 37/990

∴ The value of p/q is 37/990

Given:

Ratio of Ram Sagar and Bhagat Ram's = 10 : 13

Total profit = Rs. 8,050

Calculation:

Let the ratio of Ram Sagar and Bhagat Ram's be 10x and 13x respectively

According to the question

⇒ (10x + 13x) = 8,050

⇒ 23x = 8,050

⇒ x = 350

Now,

The share of Bhagat Ram's share = 13x = (13 × 350)

⇒ Rs. 4,550

∴ Required share of Bhagat Ram's is Rs. 4,550

The correct answer is IIT Gandhinagar.

Key Points

• IIT Gandhinagar became India's first educational institute to receive Eat Right Campus Award from FSSAI.
• The award will be conferred by FSSAI in New Delhi on June 07, 2019, on the occasion of World Food Safety Day.
• IIT Gandhinagar received a five-star rating in the Eat Right Campus audit, for ensuring food safety and promoting healthy eating.
• IITGN enured high standards for the quality of food served at its dining halls and the other eating joint.

Additional Information

• FSSAI
• Food Safety and Standards Authority of India (FSSAI) is an autonomous statutory body established under the Food Safety and Standards Act, 2006 (FSS Act).
• Ministry of Health & Family Welfare, Government of India is the administrative Ministry of FSSAI.
• FSSAI was formed in August 2011.
• Its headquarter is in New Delhi.
• It has 4 regional offices.
• Arun Singhal is the current CEO of FSSAI.
• The current Agriculture Minister is Narender Singh Tomar.

The correct answer is 1951-1956.

Key Points

• First Five Year Plan
• The first Five-year plan was for the period of 1951 to 1956.
• The target growth was 2.1% and the actual growth was 3.6%.
• It was based on the Harrod-Domar modal.
• The influx of refugees, severe food shortage & mounting inflation confronted the country at the onset of the first five years plan.
• The primary aim of the first five-year plan was to improve the living standards of the people of India.
• This could be done by making judicious use of India's natural resources.
• The Plan focussed on agriculture, price stability, power, and transport.

Additional Information

• Second Five year Plan (1956-1961)
• The second five-year plan is based on the Mahalanobis model.
• This was the USSR model Indianized by PC Mahalanobis, the founder of the Indian Statistical Institute.
• Third Five-Year Plan (1961-1966)
• The Third five-year plan focused on agriculture & enhancement in the production of wheat, but the succinct Sino - Indian War in the year 1962 exposed flaws in the economy and shifted the spotlight towards the Defence industry.
• Fourth Five Year Plan (1969-1974)
• The fourth five Year Plan was the first plan launched by the Indira Gandhi government amid the pressure of drought, devaluation, and inflationary recession.
• The country was fighting with population explosion, increased unemployment, poverty, and a shackling economy. In addition, the situation in East Pakistan was becoming dire as the Indo-Pakistani War of 1971 and Bangladesh Liberation War took place.

The logic followed here is:

Here is the order of the planets, starting nearest from the sun and going away in the solar system.

Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.

Hence, "option 4" is the correct answer.

Important Points

1. Mercury (nearest to the sun)
2. Venus (Evening star, hottest planet)
3. Earth (Only living planet, blue planet)
4. Mars (the red planet)
5. Jupiter (largest planet in the solar system)
6. Saturn (a planet with rings)
7. Uranus (coldest planet)
8. Neptune (farthest to the sun)

• All Planets in our solar system rotates counterclockwise i.e. West to East except for Venus and Uranus.
• Two planets Venus and Uranus are rotating from east to west in our solar system.
• Venus and Uranus are rotating in the opposite direction (clockwise) to the Sun, this is also known as a retrograde rotation.

​

The correct answer is Formula Translation.

Key Points

• Formula Translation( FORTRAN)
• FORTRAN is the first high-level programming language developed by John Backus in 1957.
• It was basically designed to write programs for high-performance computing.
• It is mainly suited for numeric computing, scientific computing, and scientific applications that involve extensive mathematical computations. The main motive behind its design was to translate math formulas into code.

Concept used:

Divisibility rule of 11 - The difference between the sum of digits and the odd and even places equals 0 or divisible by 11

t_n = a + (n – 1) d

where, a = first number

d = common difference (t₂ – t₁)

n = last number

Calculation:

The first number between 100 and 1000 divisible by 11 = 110

The last number between 100 and 1000 divisible by 11 = 990

The numbers is 110, 121, 132, .......990

⇒ a = 110, d = (121 – 110) = 11, n = 990

According to the question

tn = a + (n – 1) d

⇒ 110 + (n – 1) × 11 = 990

⇒ 110 + 11n – 11 = 990

⇒ 11n – 11 = (990 – 110)

⇒ 11n – 11 = 880

⇒ 11n = (880 + 11)

⇒ 11n = 891

⇒ n = 81

∴ Required numbers is 81

The correct answer is Vitamin K.

Key Points

• Vitamins
• Vitamins are chemical compounds that are required in small amounts for growth and good health and are obtained from our food.
• The vitamins are not synthesized in the body that's why they must be supplied through the diet.
• ​Vitamin K
• ​It helps in blood clotting and the prevention of excessive bleeding.
• There are three derivatives of vitamin K- K1 (Phylloquinone), K2 (Menaquinone), and K3 (Menadione).​

Additional Information

• ​Vitamin C
• Vitamin C is a water-soluble compound found in living organisms.​
• It is an essential nutrient for various metabolism in our body and also serves as a reagent for the preparation of many materials in the pharmaceutical and food industry.
• Vitamin C also known as ascorbic acid is an essential nutrient in many multicellular organisms, especially in humans.
• Ascorbic acid is a water-soluble vitamin and is found in variable quantities in fruits and vegetables and organ meats.

• ​Fat-Soluble Vitamins: Vitamins K, E, D, A.
• Water Soluble Vitamins: Vitamins B, C.

The logic followed here is:

Similarly,

Hence, "option 2" is the correct answer.

The correct answer is Executive.

Key Points

• ​The organ of government that primarily looks after the function of implementation and administration is called the Executive.
• The second but most powerful organ of the government is the Executive.
• At the State level, the executive comprises the Governor, the Chief Minister, and the Council of Ministers.
• The executive is often involved in the framing of policy.
• The executive branch is not just about presidents, prime ministers, and ministers. It also extends to the administrative machinery.

Given:

The length of hall = 7 m more than its breadth

Perimeter of hall = 62 m

Formula used:

Perimeter of rectangle = 2(l + b)

Calculation:

Let the breadth of rectangle be x m

Length = (x + 7) m

Perimeter = 2(l + b) = 62

⇒ l + b = 31

⇒ x + 7 + x = 31

⇒ 2x = 24

⇒ x = 12 m

Now,

Breadth = x = 12 m

Length = (x + 7) = (12 + 7) = 19 m

∴ The length of the hall is 19 m

The correct answer is Atomic Energy Establishment, Trombay.

Key Points

• ​Dr. Homi Jehangir Bhabha established the Atomic Energy Establishment, Trombay (AEET) in Jan 1954.
• It was established for a multidisciplinary research program essential for the ambitious nuclear program of India.
• After the sad demise of Bhabha in 1966, AEET was renamed Bhabha Atomic Research Centre (BARC).

Additional Information

• Bhabha Atomic Research Centre (BARC)
• It is the mother of the R&D institutions which carry out pioneering research on nuclear and accelerator technologies.
• Coal-based thermal power contributes 186,293 MW (July 2016), 61% of the total installed power while renewable and nuclear contribute 44,237 MW (14.5%) and 5,780 MW (1.9%) respectively.

Given:

Rate = 10%

Time = 3/2 years

Formula used:

If difference between CI and SI is 3 years then,

Difference = 3 × P(R)²/(100)² + P (R/100)³

If compounded semiannually

Rate = 10/2 = 5%

Time = 3/2 × 2 = 3 years

Calculation:

According to the question

⇒ Difference = P × R² (300 + R)/100³]

⇒ 61 = (P × 25 × 305)/100³

⇒ 7625P =(61 × 100 × 100 × 100)

⇒ 7625P = 61,000,000

⇒ P = (61,000,000/7625)

⇒ P = Rs. 8,000

∴ Each of them borrowed Rs. 8,000

Given:

The sum of the digits of a two-digit number = 12

Calculation:

Let the two digit number be 10x + y

Sum of digits (x + y) = 12.....(1)

According to the question

⇒ 4(10x + y) = 7(10y + x)

⇒ 40x + 4y = 70y + 7x

⇒ (70y – 4y) = (40x – 7x)

⇒ 66y = 33x

⇒ x/y = 2/1

 Now,

⇒ 2x + x = 12

⇒ 3x = 12

⇒ x = 4

Now,

First number = 2x = (2 × 4) = 8

Second number = x = 4

∴ The required number is 84

The correct answer is 5th June.

Key Points

• ​Since 1974, World Environment Day has been celebrated every year on 5 June.
• The theme for World Environment Day 2020 was 'Time for Nature'.
• The theme for World Environment Day 2021 is Ecosystem Restoration.

Additional Information

• 30th September is celebrated as International Translation Day.
• 31st May is celebrated as World No Tobacco Day.
• International Day of Human Space Flight is celebrated on 12th April.

The correct answer is the Indus valley desert.

Key Points

• ​The Indus Valley Desert is an almost uninhabited desert ecoregion of northern Pakistan.
• It covers an area of 19,501 sq km in northwestern Punjab Province between the Chenab and Indus rivers.
• It is drier and less hospitable than the northwestern thorn scrub forests that surround it with temperatures ranging from freezing in winter to extremely hot in summer with only 600-800 mm of rainfall per year.
• The desert is home to five large mammals: Indian wolf, striped hyena, caracal, Indian leopard, and the urial along with many rodents and other mammals.

Additional Information

• The Thar desert
• The Thar Desert is located in India (Rajasthan) and is also known as the Great Indian Desert.
• The Thar Desert extends between the Aravalli Hills in the northeast and the Rann of Kutch in the west and the alluvial plains of the Indus River in the northwest.
• It is located partly in the Rajasthan state of India and partly in the Punjab and Sindh provinces of Pakistan.
• Rann of Kutch
• The Great Rann of Kutch is a salt marsh in the Thar Desert in the Kutch District of Gujarat.
• It is divided into the Great Rann and Little Rann.
• The history of the Rann of Kutch began with early neolithic settlements. It was later inhabited by the Indus Valley Civilization as well as the Maurya and Gupta empires of India.
• Spiti valley cold desert
• Spiti Valley is a cold desert mountain valley located high in the Himalayas in the northeastern part of the northern Indian state of Himachal Pradesh.
• The name "Spiti" means "The middle land" i.e. the land between Tibet and India.

The correct answer is the commitment to Purna Swaraj.

Key Points

• The Indian National Congress, on 19 December 1929, passed the historic 'Purna Swaraj' (total independence) resolution at its Lahore session.
• A public declaration was made on 26 Jan 1930- a day which the Congress Party urged Indians to celebrate as 'Independence Day.'
• Jawaharlal Nehru was elected as President of the Indian National Congress in December 1929 at its annual session in the city of Lahore.
• In 1929, Lord Irwin, then Viceroy of India, made a vague announcement, referred to as the Irwin Declaration that India would be granted dominion status in the future.
• This was the day when for the first time the nationalists unfurled the tricolor.

Additional Information

• India National Congress​
• The India National Congress (INC) was formed by Allan Octavian Hume in 1885.
• INC was the first modern nationalist movement to emerge in the British Empire in Asia and Africa and it grew to become one of the most important political parties in pre-independence India.
• The first session of INC was held in Bombay from 28-31 Dec 1885 under the chairmanship of W.C. Bonnerjee.
• The session of the INC is held at the gap of one year.
• From the late 19th century and especially after 1920 Congress became the principal leader of the Indian independence movement under the leadership of Mahatma Gandhi.
• Congress lead India to independence from Great Britain and powerfully influenced other anti-colonial nationalist movements in the British Empire.

The correct answer is Hawa Mahal.

• As of October 2020, Hawa Mehal is not on the world heritage list.
• Hawa Mehal registered on the World Heritage list in 2021.

Key Points

• Hawa Mehal:
• The structure was built in 1799 by Maharaja Sawai Pratap Singh, the grandson of Maharaja Sawai Jai Singh, who was the founder of Jaipur.
• The windows of the Hawa Mahal are called Jharokha.
• This palace is a five-story pyramidal shaped monument that rises to about 50 feet (15 m).
• Hawa Mahal is built in the shape of a crown, it looks like Lord Krishna's crown.
• Hawal Mahal has 5 floors and there are no stairs to climb, instead, there are only ramps to reach the top floors.

Additional Information

The correct answer is Hair.

Key Points

• The logic followed here is:
• Except for Hair, all other options are examples of sense organs of a human body.
• Hair is not a sense organ.

Additional Information

• Sense organs are the specialized organs composed of sensory neurons, which help us to perceive and respond to our surroundings.
• There are five sense organs in the human body: Skin Nose, Ears, Eyes, Tongue.
• Hence, "option 4" is the correct answer.

Given:

The given data = 11, 13, 10, 9, 8, 20, 13

Concept used:

Case 1: When numbers of terms in data is odd

Median = Middle term value

Case 2: When numbers of terms in data is even

Median = (1^st middle term value + 2^nd middle term value)/2

Calculation:

Arranging data in ascending order

⇒ 8, 9, 10, 11, 13, 13, 20

The number of given data in odd terms that is 7

So,

Median = Middle term value

⇒ 11

∴ The required median is 11

The correct answer is Australia.

Key Points

• ICC men's T20 rankings
• The ICC Men's T20 Team Rankings is an international Twenty 20 cricket rankings system of the International Cricket Council.
• After every T20 match, the two teams involved receive points based on a mathematical formula.
• The total of each team's points total is divided by the total number of matches to give a rating, and all teams are ranked on a table in order of rating.

The correct answer is grape cultivation.

Key Points

• Viticulture is the scientific study of grapes, most often with a focus on growth and production.
• When the grapes are being used specifically for wine production, the study of grapes can also be called viniculture.
• Both viticulture and viniculture fall under the umbrella of horticulture.
• The most common grapevine Vitis vinifera has been cultivated and fermented by humans since the neolithic era.
• The Greek historian Thucydides observed that the growth of civilization in the Mediterranean coincided with the cultivation of grapes.

The correct answer is a liability.

Key Points

• Unemployment leads to the wastage of manpower resources.
• People who are an asset to the economy turn into a liability.
• 'People as Resource' is a way of referring to a country’s working people in terms of their existing productive skills and abilities.
• Human resource plays a significant role in the economy of a country by contributing to productivity. The other resource becomes useful because of the input by the human resource.
• Investment in human capital yields a return and it is done through education, training, and healthcare. It is truly known that a person who is educated earns better than an uneducated person.
• People as a resource refers to the working population that results in the development of society.

Given:

f(x) = x2 + 9x + 3k

sum of squares of zero = 21

Formula used:

Sum of zero (α + β) = -b/a

Product of zero (α × β) = c/a

Calculation:

Let α and β are the zeroes of polynomial f(x)

Sum of zero = -b/a = (-9/1) = -9....(1)

Product of zero = c/a = (3k/1) = 3k....(2)

Now, from equation (1) 

α + β = -9d

Squaring both sides, we get

(α + β)² = (-9)²

⇒ α² + β² + 2αβ = 81....(3)

Now, sum of squares of zero = 21

α2 + β² = 21

Putting the value of equation (1) and (2) in (3), we get 

⇒ 21 + 2 × 3k = 81

⇒ 6k = (81 – 21)

⇒ 6k = 60

⇒ k = 10

 

∴ The value of k is 10

The logic followed here is:

Addition of the upper left side number and square of the upper right side number, then we get a lower number.

The figure is as follows:-

Hence, "Option 3" is the correct answer.

The correct answer is Redwood.

Key Points

• Redwood is a subfamily of coniferous trees within the family Cupressaceae.
• It includes the largest and tallest trees in the world.
• It is also known as Sequoia sempervirens.
• The native habitat of Redwood trees is only on the western slopes of the Sierra Nevada range of California.

Additional Information

• Cedar
• Cedar is a genus of coniferous trees in the plant family Pinaceae.
• They are native to the mountains of the western Himalayas and the Mediterranean region.
• Cedrus trees can grow up to 30-40 m.
• Pine
• A pine is any conifer in the genus Pinus of the family Pinaceae.
• Pine is one of the more extensively used types of wood used as lumber.
• Spruce
• Spruce is a tree of the genus Picea.
• Spruces are large trees, from about 20 to 60m tall when mature.

Given:

Aryan takes twice as much time as Vipin to finish a work

Aryan and Vipin finish the work together = 2 days

Formula used:

Work = Efficiency × Time

Calculation:

LCM of 2 and 1 is 2

Efficiency of Aryan = 2/2 = 1 unit/day

Efficiency of Vipin = 2/1 = 2 units/days

Number of work completed by Aryan and Vipin together in 2 days = [2 × (1 + 2)]

⇒ (2 × 3) = 6 units/days

Now,

Number of time to completed the work by Vipin = (6/2) days

⇒ 3 days

∴ Required time to completed the work by Vipin is 3 days

Shortcut Trick

Total initial parts = 6 + 7 = 13 parts.

Value of 13 parts = ₹1950 ⇒ 1 part = 1950 ÷ 13 = ₹150.

Amount added to each = ₹100, which in ratio terms is 100 ÷ 150 = 2/3 parts.

New ratio = (6 + 2/3) : (7 + 2/3) = 20/3 : 23/3.

Thus, the new ratio simplifies directly to 20 : 23.

∴ The correct answer is 20 : 23.

Alternate Method

Given:

Total amount to be divided = ₹1950

Initial ratio of Anita and Vineeta = 6 : 7

Amount added to each share = ₹100

Calculations:

⇒ Sum of ratio parts = 6 + 7 = 13

⇒ Value of 1 ratio part = 1950 ÷ 13 = ₹150

⇒ Anita's initial share = 6 × 150 = ₹900

⇒ Vineeta's initial share = 7 × 150 = ₹1050

⇒ Anita's new share = 900 + 100 = ₹1000

⇒ Vineeta's new share = 1050 + 100 = ₹1150

⇒ New ratio = 1000 : 1150

⇒ Dividing both parts by 50, we get 20 : 23

∴ The correct answer is 20 : 23.

Additional Information

Equivalent Ratios

Multiplying or dividing both terms of a ratio by the same non-zero number does not change its core value, e.g., 1000 : 1150 simplifies exactly to 20 : 23.

Constant Difference Method

When the same quantity is added or subtracted from both components of a ratio, the numerical difference between the final terms remains equal to the difference of the initial absolute quantities.

The logic followed here is:

For the first column:-

Addition of square of all three numbers then we get fourth row number.

2² + 3² + 4² = 4 + 9 + 16 = 29

For the second column:-

52 + 62 + 72 = 25 + 36 + 49 = 110

Similarly,

For the third column:-

82 + 92 + 102 = 64 + 81 + 100 = 245

Hence, "option 2" is the correct answer.

The correct answer is Rowlatt Act.

Key Points

• Rowlatt Act
• Rowlatt Act was in response to the British government enacting the Anarchical and Revolutionary Crimes Act of 1919, popularly known as the Rowlatt Act.
• The Act was passed on the recommendation of the Sedition Committee chaired by Sir Sidney Rowlatt.
• This act had been hurriedly passed in the Imperial Legislative Council despite the united opposition of the Indian members.
• It gave the government enormous powers to repress political activities and allowed the detention of political prisoners without trial for two years.

Additional Information

• World War I
• It took place from 28 July 1914 to 11 November 1918.
• It is considered as one of the largest wars in history and also contemporarily described as the War to End All Wars.
• This Great War started when Hungary-Austria declared war on Serbia.
• ​Jallianwala Bagh Massacre
• The protests against Rowlatt Act turned violent as the police resorted resulting in the death of some protestors.
• Martial law was placed to curb further protests and law and order in Punjab.
• On 13th April, Baisakhi Day, a large crowd of people unaware of the prohibitory orders in the Amritsar gathered in the Jallianwala Bagh.
• Rabindranath Tagore renounced his Knighthood in protest.
• Mahatma Gandhi gave up the title of Kaiser-i-Hind.

The correct answer is 17th June.

Key Points

• World Day to Combat Desertification and Drought is observed every year on 17 June.
• The day promotes public awareness of international efforts to combat desertification.
• It is an occasion to remind everyone that land degradation neutrality is achievable through problem-solving, strong community involvement, and cooperation at all levels.

Additional Information

• 22^nd May is celebrated as International Day for Biological Diversity.
• 5^th June is celebrated as World Environment Day.
• 22^nd April is celebrated as Earth day.

The correct answer is November 8, 2016.

Key Points

• ​It is the act of stripping a currency unit of its status as legal tender.
• It occurs whenever there is a change of national currency and the current form or forms of money are pulled from circulation and retired, often to be replaced with new notes or coins.
• In November 2016, the decision of Demonetisation was taken by the Government of India.
• In the current form or forms of money is pulled from circulation and retired, often not be replaced with new notes or coins.
• On 8th November 2016 Government of India announced the demonetization of all 500 and 1000 banknotes.
• The purpose of demonization was to move India from a tax non-compliant society to a compliant society.
• This move by the government achieved larger significance for a globally connected India as it showed boldness in tackling an issue that has remained a thorn in the growth success story of this generation.

The correct answer is Inflation.

Key Points

• Social evil
• Social evils are the issues that directly or indirectly affect the members of a society and are considered a point of controversy or a problem in regards to moral values.
• They hinder society's progress as a whole.
• They are superstitiously believed to cause harm and are very immoral and wicked. Some of them are child labor, human trafficking, child marriage, etc.
• They are deep-rooted obstacles to social development.
• ​Mahatma Gandhi
• ​Mahatma Gandhi was a renowned freedom activist and an authoritative or powerful political leader who had played an important role in India's struggle for Independence against the British rule of India.
• He was also considered the father of the country.
• His birthday is celebrated every year as Gandhi Jayanti.
• On 30^th January Mahatma Gandhi was assassinated by Nathuram Godse and so, this day is observed as Martyr's Day or Shaheed Diwas.

The correct answer is IBM.

Key Points

• IBM
• The IBM Personal Computer is the first computer released in the IBM PC model.
• It was released on August 12, 1981, and was created by a team of engineers and designers directed by Don Estridge in Boca Raton, Florida.
• The majority of modern personal computers are distant descendants of the IBM PC.
• IBM sold the PC division to Lenovo in 2005.

The correct answer is Geneva, Switzerland.

Key Points

• ​The World Health Organization is a specialized agency under United Nations responsible for international public health.
• It was formed on 7 April 1948.
• The formation date of the World Health Organization, April 7 is commemorated as World Health Day.
• The headquarters of the World Health Organisation is in Geneva, Switzerland.
• The constitution of the WHO has been signed by 61 countries on 22 July 1946.

The Venn diagram is as follows:-

Conclusions:

I. All the onions are tomatoes → False (All the tomatoes are onions also says that some onions are tomatoes but all the onions are not tomatoes.)

II. All the potatoes are onions → Ture (All the potatoes are tomatoes and all the tomatoes are onions that mean all the potatoes are onions.)

Hence, "option 1" is the correct answer.

Additional Information

The correct answer is Farm forestry.

Key Points

• ​Farm forestry means growing trees on farmlands for commercial purposes like timber production or for a variety of non-commercial purposes like groundwater control, prevention of soil erosion, prevention of polluting nutrients in the soil, etc.
• It can help in the production of quality timber products, and it also increases farm income.

Additional Information

• Tree Conservation
• Tree conservation is the preservation and management of forests.
• Deforestation is one of the main factors in climate change. By conserving trees, we will slow down global warming and reduce climate change.
• Forest Conservation
• Forest conservation is the practice of planning and maintaining forested areas for the benefit and sustainability of future generations.
• Forest conservation involves the upkeep of the natural resources within a forest that is beneficial for both humans and the ecosystem.

Given:

The sum of five consecutive numbers = 90

Calculation:

Let the five consecutive numbers be x, x + 1, x + 2, x + 3, x + 4 respectively

According to the question

⇒ (x, x + 1, x + 2, x + 3, x + 4) = 90

⇒ 5x + 10 = 90

⇒ 5x = 90 – 10

⇒ 5x = 80

⇒ x = 16

Now, the middle number = (x + 2) = (16 + 2)

⇒ 18

∴ Required middle number is 18

The correct answer is Jahanara.

• Shah Jahan's daughter Jahanara participated in many architectural projects of the new capital of Shahjahanabad (Delhi).

Key Points

• Jahanara was the daughter of Shah Jahan and the sister of Roshanara.
• She devised many architectural projects in the new capital of Shah Jahan.
• She designed an imposing double-storeyed caravan-serai having a garden and a courtyard. She also designed the bazaar of Chandni Chowk in Shahjahanabad (now Delhi).

Additional Information

• Shah Jahan, Mughal emperor of India (1628–1658) who built the Taj Mahal.
• He was the third son of the Mughal emperor Jahangir and the Rajput princess Manmati.
• Moti Masjid and the Jama Masjid, was built by Shah Jahan.
• At Delhi, Shah Jahan built a huge fortress-palace complex called the Red Fort.

Important Points

Given:

∠PAB = 35° 

Calculation:

∠PAB = ∠BRP = 35°   [Angle made in the same segment]

∠ARB = 90°  [Angle made in a semicircle]

∠ARP + ∠BRP = 90° 

∠ARP + 35° = 90° 

∠ARP = (90° – 35°)

∠ARP = 55° 

⇒ ∠ARP + ∠ARS = 180° [Linear pair]

⇒ ∠55° + ∠ARS = 180° 

⇒ ∠ARS = (180° – 55°)

⇒ ∠ARS = 125° 

∴ The value of ∠ARS is 125°

Calculation:

The percentage growth of Cement from 2015 to 2019 = [(450 – 200)/200 × 100]

⇒ (250/200 × 100)

⇒ 125%

The percentage growth of Fertilizer from 2015 to 2019 = [(800 – 500)/500 × 100]

⇒ (300/500 × 100)

⇒ 60%

The percentage growth of Foam from 2015 to 2019 = [(200 – 80/80 × 100]

⇒ (120/80 × 100)

⇒ 150%

The percentage growth of Pesticides from 2015 to 2019 = [(180 – 100)/100 × 100]

⇒ (80/100 × 100)

⇒ 80%

∴ The maximum growth in CFC from 2015 to 2019 in Foam

Calculation:

The total CFC emissions from all the sectors in 2015 = (200 + 500 + 80 + 100)

⇒ 880

The total CFC emissions from all the sectors in 2016 = (300 + 600 + 90 + 110)

⇒ 1100

The total CFC emissions from all the sectors in 2017 = (320 + 650 + 100 + 120)

⇒ 1190

The total CFC emissions from all the sectors in 2018 = (400 + 700 + 150 + 150)

⇒ 1400

The total CFC emissions from all the sectors in 2019 = (450 + 800 + 200 + 180)

⇒ 1630

Now,

The contribution of CFC emission from the fertilizer sector, in comparison to the total CFC emissions from all the sectors in 2015 = (500/880 × 100)

⇒ 56.81%

The contribution of CFC emission from the fertilizer sector, in comparison to the total CFC emissions from all the sectors in 2016 = (600/1100 × 100)

⇒ 54.54%

The contribution of CFC emission from the fertilizer sector, in comparison to the total CFC emissions from all the sectors in 2017 = (650/1190 × 100)

⇒ 54.62%

The contribution of CFC emission from the fertilizer sector, in comparison to the total CFC emissions from all the sectors in 2018 = (700/1400 × 100)

⇒ 50%

The contribution of CFC emission from the fertilizer sector, in comparison to the total CFC emissions from all the sectors in 2019 = (800/1630 × 100)

⇒ 49.07%

∴ The contribution of CFC emission from the fertilizer sector, in comparison to the total CFC emissions from all the sectors, was least in 2019