RRB NTPC CBT-I Official Paper( Held On: 16 Jan 2021 Shift 1) (Previous Year Paper)

Given:

Polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x +1

Concept used:

In such questions, we fix non-zero value of x and then calculate and compare values of remainder and quotient and solve using options.

Calculation:

Let x = 1,

then dividend 6x4 + 8x3 + 17x2 + 21x + 7 (x = 1) = 6 + 8 + 17 + 21 + 7 = 59 

and divisor 3x2 + 4x +1 (x = 1) = 3 + 4 + 1 = 8

When 6x4 + 8x3 + 17x2 + 21x + 7 is divided by polynomial 3x2 + 4x +1, that is, when 59 is divided by 8 then remainder comes out to be 3

∴ ax + b (x = 1) = 3

⇒ a + b = 3

Only option that satisfies a + b = 3 is option 2) 

NOTE: if more than one option satisfies then we check the satisfying options with another variable value of x.

1Given:

P drives during the first hour at an average speed of 40 km/h.

Q drives during the next 2 hours at an average speed of 50 km/h.

R drives for the next 3 hours at an average speed of 60km/h.

They reached their destination after exactly 6 hour

Formula used:

Speed = distance/time

Calculation:

Total distance = Distance that P covered in 1 hr. + Distance that Q covered in 2 hrs. + Distance that R covered in 3 hrs.

= 40 × 1 + 50 × 2 + 60 × 3

= 40 + 100 + 180

= 320 km

Mean speed = Total distance/total time taken

= 320/6

= 53.33 km/h

'The logic followed here is:

1^st number × 15 = 2^nd number.

• 14 : 210 → 14 × 15 = 210;

Similarly, 

• 16 : ? →​ 16 × 15 = 240.

Hence, 240 is the correct answer.

Note: The official question had a discrepancy. We have changed the fourth option to remove the discrepancy.

According to BODMAS rule:

Let us analyze each option:

Given: 56 – 8 + 42 ÷ 6 × 5 = 19

i) – and ×

⇒ 56 × 8 + 42 ÷ 6 – 5 = 19

⇒ 56 × 8 + 7 - 5 = 19

⇒ 448 + 7 - 5 = 19

⇒ 455 - 5

= 450 ≠ 19

ii) + and –

⇒ 56 + 8 – 42 ÷ 6 × 5 = 19

⇒ 56 + 8 – 7 × 5

⇒ 56 + 8 – 35

⇒ 64 – 35 

= 29  ≠ 19

iii) ÷ and –

⇒ 56 ÷ 8 + 42 – 6 × 5 = 19

⇒ 7 + 42 – 6 × 5 = 19

⇒ 7 + 42 - 30 

= 49 - 30 = 19

iv) + and ÷ 

⇒ 56 – 8 ÷ 42 + 6 × 5

⇒ 56 – 0.19 + 6 × 5

⇒  56 - 0.19 + 30 

⇒ 86 - 0.19

= 85.81 ≠ 19

Hence, '÷ and –' is the correct answer.

The correct answer is Lysosomes.

Key Points

• Lysosomes are a kind of waste disposal system of the cell.
• They help to keep the cell clean by digesting any foreign materials as well as worn-out cell organelles.

Important Points

The correct answer is 1960.

• The states of Maharashtra and Gujarat were created in 1960.

Key Points

The statement tells that many farmers are selecting organic farming practices.

• Thus, it is safe to assume that organic farming must be more beneficial to the farmers compared to other types of farming since a lot of them are taking it up. So, assumption II is implicit.
• Because a lot of farmers are taking up organic farming, it can be said that it is beneficial, but the type of benefit cannot be assumed. Whether or not it is easy; or does organic farming gives high produce or does the crops thus produced fetch higher market price - none of this is suggested or implicit in the statement. So, assumption I is not implicit.

Hence the correct answer is option 4.

The correct answer is South Africa.

• In 1915 Gandhiji returned to India at the request of Gopal Krishna Gokhale, conveyed to him by C. F. Andrews.

Key Points

Gandhiji's achievements in South Africa:

• While he was travelling by train to Pretoria, Gandhi, despite carrying a first-class ticket, was thrown out of the train by the authorities because a white man complained of an Indian sharing the space with him.
• As a response, Gandhi formed the Natal Indian Congress in 1894. This organisation led non-violent protests against the oppressive treatment of the white people towards the native Africans and Indians.
• In 1896, he came to India for a short time and gathered 800 Indians to serve along with him in South Africa. They were welcomed by an irate mob and Gandhi was injured in the attack.
• During the outbreak of the Boer War in 1899, Gandhi gathered around 1,100 Indians and organised the Indian Ambulance Corps for the British but the ethnic discrimination and torture continued on Indians.
• English artist John Ruskin's book Unto This Last inspired Gandhi and he set up Phoenix Farm near Durban. Here, Gandhi would train his cadres on non-violent Satyagraha or peaceful restraint. Phoenix Farm is considered the birthplace of Satyagraha. However, it was at the Tolstoy Farm, Gandhi's second camp in South Africa, where Satyagraha was molded into a weapon of protest.
• In September 1906, Gandhi organised the first Satyagraha campaign to protest against the Transvaal Asiatic ordinance that was constituted against the local Indians. Again in June 1907, he held Satyagraha against the Black Act.
• In 1908, he was sentenced to jail for organising non-violent movements. But, after his meeting with General Smuts, a British Commonwealth statesman, he was released.
• In 1909, he was sentenced to a three-month jail term in Volkshurst and Pretoria. After his release, Gandhi went to England to seek the assistance of the Indian community there.
• He also fought against the nullification of non-Christian marriages in 1913.
• Finally, in 1915 Gandhiji returned to India on the request of Gopal Krishna Gokhale, conveyed to him by C. F. Andrews.

Given:

Principal = Rs. 15,000 , time =1 year, rate% =  4% per annum

Interest is compounded half yearly

Concept used:

When interest is compounded half yearly, half yearly rate = rate%/2 and half yearly time = 2 × time

For CI, Amount = Principal(1 + rate/100)^time, where CI = Amount - Principal

Calculation:

Now, half yearly rate = rate%/2 = 4/2 = 2%

and half yearly time = 2 × time = 2 × 1 = 2 years

Putting values, we get, Amount = 15000 × (1 + 2/100)²

= 15000 × (51/50)²

= 15000 × 2601/2500

= 6 × 2601

= 15606

∴ CI = Amount - Principal = Rs. 15606 - Rs. 15000

= Rs. 606

Given:

Three numbers are in the ratio is 3 : 4 : 5 and their HCF is 7

Concept used:

Number = HCF × other factor

Calculation:

Let three numbers be in 3x, 4x and 5x

Putting values in Number = HCF × other factor, we get, the numbers to be 21x, 28x and 35x

and option 3) satisfies it with x = 1.

The correct answer is Benjamin Franklin.

• In 1752, Franklin conducted his famous experiment, the kite experiment.
• He flew a kite during a thunderstorm just for showing that the lightning was electricity.
• A metal key is tied to the kite string in this process in order to conduct the electricity.
• In this process, the electricity from the storm clouds is generally transferred to the kite and electricity flowed down to the string, giving him a shock, just as he thought.
• The main purpose of Franklin's kite experiment was to uncover the unknown facts of nature about lightning and electricity.
• Franklin’s experiment established the connection between lightning and electricity.
• Thus, by the kite experiment, Benjamin Franklin showed that lightning and the spark from your clothes are essentially the same phenomena

Key Points

• Static electricity is a familiar electric phenomenon in which charged particles are transferred from one body to another.
• For example, if two objects are rubbed together, especially if the objects are insulators and the surrounding air is dry, the objects acquire equal and opposite charges and an attractive force develops between them.
• The object that loses electrons becomes positively charged, and the object that gains electrons becomes negatively charged.
• The force is simply the attraction between charges of opposite signs.

Let us examine the given options:

1. 2439 → 2439 ÷ 3 = 813
2. 2336 → 2336 ÷ 3 = 777.66
3. 1236 → 1236 ÷ 3 = 412
4. 1113 → 1113 ÷ 3 = 371

• Here, all the options are divisible by 3 except 2336. Therefore, 2336 is different from the rest.

Hence, 2336 is the correct answer.

Alternate Method

The logic followed here is:

Sum of the first three digits = last digit

1. 2439 → 2 + 4 + 3 = 9
2. 2336 → 2 + 3 + 3 = 8 ≠ 6
3. 1236 → 1 + 2 + 3 = 6
4. 1113 → 1 + 1 + 1 = 3

Hence, 2336 is the correct answer.

Given:

3 boys and 5 girls can finish a project in 6 days, while 2 boys and 7 girls can finish it in 8 days.

Concept used:

M1 × D1 = M2 × D2

Calculation:

3 boys and 5 girls can finish a project in 6 days, while 2 boys and 7 girls can finish it in 8 days ⇒ (3B + 5G) × 6 = (2B + 7G) × 8

⇒ 18B + 30G = 16B + 56G

⇒ 2B = 26G

⇒ B/G = 13/1

Now let 8 girls complete the project in D days,

then  (3B + 5G) × 6 = 8G × D

⇒ (3 × 13 + 5 × 1) × 6 = 8 × 1 × D

⇒ 44 × 6 = 8 × D

⇒ D = 33 days

The correct answer is 2008.

Key Points

• ISRO launched the Chandrayaan-1 spacecraft in 2008.
• India's first mission to the moon
• It was uniquely equipped to confirm the presence of solid ice on the moon.
• Findings indicate the presence of hematite at the lunar poles.

Key Points

• Chandrayaan 1:
• ISRO mission designed to orbit the Moon over a two-year period with the objectives of upgrading and testing India's technological capabilities in space and returning scientific information on the lunar surface.
• It was based on the Kalpansat meteorological satellite.
• Chandrayaan 2:
• ISRO mission comprising an orbiter(Pragyan) and a soft lander(Vikram) carrying a rover, scheduled to launch to the Moon in July 2019.
• The primary objective of Chandrayaan 2 was to demonstrate the ability to soft-land on the lunar surface and operate a robotic rover on the surface.
• However, Soft landing failed.
• Scientific goals include studies of lunar topography, mineralogy, elemental abundance, the lunar exosphere, and signatures of hydroxyl and water ice.

Additional Information

• Missions to the Moon:
• Chang'e 5 - CNSA (China) Lunar Sample Return Mission (2020)
• Chandrayaan 2 - ISRO (India) Lunar Orbiter, Lander and Rover Mission (2019)
• Beresheet - Space IL and Israeli Aerospace Industries (Israel) Lunar Lander (2019)
• Chandrayaan-1 - ISRO (India) Lunar Orbiter Mission (2008)
• With the Artemis program, NASA will land the first woman and next man on the moon by 2024.

Given:

A book has 250 pages.

Person A reads 6 pages in an hour.

Person B reads 8 pages in an hour.

There are two chapters of 72 pages that are difficult for person B to read in the book, so person B takes double the time to read those pages.

Calculation:

Time taken by A to finish the book = 250/6 = 41 hrs 40 mins

Time taken by B to finish the book = (250 - 72) pages at 8 pages per hour and 72 pages at 4 pages per hour (∵ double the time ⇒ half the speed)

= 178/8 + 72/4

= 89/4 + 72/4

= 161/4

= 40 hrs 15 mins 

∴ Comparing time taken by A and B, we conclude that B finishes the book first and (41 hrs 40 mins - 40 hrs 15 mins ) = 1 hr 25 min sooner.

The correct answer is USB.

• USB(universal serial bus)- is a technology used to connect computers with peripheral devices.

Key Points

• Whether it's a gaming system or a home PC, the main components that make up a typical, present-day computer include:
• A motherboard
• A Central Processing Unit (CPU).
• A Graphics Processing Unit (GPU), also known as a video card.
• Random Access Memory (RAM), also known as volatile memory.
• Storage: Solid State Drive (SSD) or Hard Disk Drive (HDD).

The correct answer is Buland Darwaza.

• To commemorate his victory over Gujarat, Akbar built 'Gate of Magnificence' the highest gateway of India at Fatehpur Sikri. AKA the Buland Darwaza.

Key Points

• Buland Darwaza
• or the loft gateway at Fatehpur Sikri was built by the great Mughal emperor, Akbar in 1573.
• Akbar built the Buland Darwaza to commemorate his victory over Gujarat.
• It is the highest gateway in the world and an astounding example of Mughal architecture.
• It is made of red and buff sandstone and decorated by carving and inlaying of white and black marble.
• An inscription on the central face of the Buland Darwaza throws light on Akbar's religious tolerance and broad-mindedness.

 Important Points

• Kashmiri Gate:-
• This gate is located in Delhi, it is the northern gate to the historic walled city of Delhi.
• It was built by the Mughal Emperor Shah Jahan
• The gate is so named because it was at the start of a road that led to Kashmir.
• ​India Gate:-
• The official name Delhi Memorial was originally called All-India War Memorial.
• The monumental sandstone arch in New Delhi
• dedicated to the troops of British India who died in wars fought between 1914 and 1919.
• India Gate, which is located at the eastern end of the Rajpath (formerly called the Kingsway)
• Gateway of India:-
• ​To commemorate the 1911 royal visit of King George V and Queen Mary to Mumbai (erstwhile Bombay)
• The first structure to welcome visitors entering the city by sea, it is popularly called ‘Taj Mahal of Mumbai’.

The correct answer is 1945.

• UN was founded as a successor to the League of Nations on 24^th October 1945.

Important Points

• League of Nations, an organization for international cooperation established on January 10, 1920
• was created by the Treaty of Versailles
• It was formed as an initiative of the victorious Allied powers at the end of World War I.
• But, it failed to prevent World War II.
• Thus, United Nations (UN), an international organization established on October 24, 1945.

​

Key Points

Given:

The total population of a village is 4,000.

The number of males and females increases by 10% and 20% respectively and consequently the population of the village becomes 4500

Concept used:

Weighted Average = (n1A1 + n2A2)/(n1 + n2)

Calculation:

Percentage increase in population = (4500 - 4000)/4000 × 100 = 12.5%

Putting values, we get, 12.5 = (n1 × 10 + n2 × 20)/(n1 + n2)

⇒ 12.5 × n1 + 12.5 × n2 = 10 × n1 + 20 × n2

⇒ 2.5 × n1 = 7.5 × n2

⇒ n1/n2 = 3/1 = male/female and total population of a village is 4,000

∴ Number of males in the village prior to the new members coming in = 3/4 × 4000 = 3000

The correct answer is Fukushima.

• The Japanese leg began in Fukushima and ended in Tokyo's New National Stadium, the main venue of the 2020 Olympics.

Key Points

• The Japanese leg began in Fukushima and ended in Tokyo's New National Stadium, the main venue of the 2020 Olympics.
• Beijing 2022 will host the XXIV Olympic Winter Games, 4-20 Feb.
• Beijing Olympics 2022 will be held across three zones: Beijing, Yanqing, and Zhangjiakou.
• The current Prime minister of Japan is Mr. Fumio Kishida (As of Jan 2022).

The correct answer is Orion.

• Orion is a well-known constellation that can be seen in the evening.
• This constellation is also known as 'the Hunter'.

Key Points

• Orion constellation is one of the brightest and best-known constellations in the night sky.
• It lies on the celestial equator.
• Orion has been known since ancient times.
• The constellation is also known as the Hunter, as it is associated with one in Greek mythology.

The correct answer is Developing rural India with the help of higher education institutions.

• Unnat Bharat Abhiyan is a flagship program of the Ministry of Education.
• It is aimed at developing rural India with the help of higher education institutions.

Key Points

• Unnat Bharat Abhiyan is a flagship program of the Ministry of Education.
• It aims to link the Higher Education Institutions with a set of at least (5) villages so that these institutions can contribute to the economic and social betterment of these village communities using their knowledge base.
• Main Objectives:
• To engage the faculty and students of Higher Educational Institutions (HEIs) in identifying development issues in rural areas and finding sustainable solutions for the same.
• Identify & select existing innovative technologies, enable customisation of technologies
• Devise implementation methods for innovative solutions, as required by the people.
• To allow HEIs to contribute to devising systems for smooth implementation of various Government programmes.

The correct answer is Soviet.

• The Bokaro Steel Plant was set up in India in 1964 with Soviet collaboration.

Given:

5 tanα = 4

Concept used:

tanθ = P/B, sinθ = P/H and cosθ = B/H 

H² = P² + B²

Calculation:

5 tanα = 4 ⇒ tanα = 4/5 = P/B

⇒ H =√[P2 + B2] = √[42 + 52] = √41

Putting values, we get, $\frac{5 \ sinα - 3 \ cosα}{5\ sinα + 2\ cosα}$ = $\frac{5 \ \times 4/\sqrt41 - 3 \ \times 5/\sqrt41}{5\ \times 4/\sqrt41 + 2\ \times 5/\sqrt41}$

= (20 - 15)/(20 + 10)

= 5/30

=1/6

The logic followed here is:

The code for WAITER is as follows:

Similarly, 

The code for JUMPER will be as follows:

Hence, the code for JUMPER will be '312923'.

Given:

A man sold 20 books for Rs. 1800, gaining there by the cost price of 5 books

Concept used:

Profit = SP - CP

Calculation:

SP of 20 books = Rs.1800 ⇒ SP of 1 book = 1800/20 = Rs. 90

ATQ, Profit on 20 books = CP of 5 books

⇒ SP × 20 books - CP × 20 books = CP × 5 books

⇒ SP × 20 books = CP × 25 books

⇒ CP/SP = 4/5

⇒ CP of 1 book = 4/5 × SP of 1 book 

⇒ CP of 1 book = 4/5 × Rs. 90 = Rs. 72

Calculation:

We have,

(461 + 462 + 463 + 464)

⇒ 4⁶¹ (4⁰ + 4¹ + 4² + 4³)

⇒ 461 (1 + 4 + 16 + 64)

⇒ 461 × 85

⇒ 460 × 4 × 85

⇒ 460 × 340

⇒ 460 × 34 × 10

Since, the given expression is a multiple of 10

So, it is completely divisible by 10.

∴ The correct answer is option (3).

Given:

The difference of two numbers is 20% of the larger number and smaller number is 40

Calculation:

ATQ, Larger number - Smaller number = 20% × Larger number

⇒ Larger number - 40 = 1/5 × Larger number

⇒ (1 - 1/5) × Larger number = 40

⇒ 4/5 × Larger number = 40

⇒ Larger number = 40 × 5/4 = 50

Concept used:

SI = Principal × Rate% × Time × 1/100 

Calculation:

For SI to be 3/4 of sum invested, Let sum invested = Principal be 4x then SI = 3x [# choose accordingly as per given fraction]

Putting values, we get, 3x = 4x × Rate% × 15 × 1/100 

⇒ Rate% = 100 × 3 × 1/4 × 1/15

⇒ Rate% = 5%

Concept used:

We know that mean can be calculated as

Mean $\bar x = \frac{{fixi}}{{fi}}$

Calculation:

Putting values, we get,

Mean, $\bar x = \frac{{fixi}}{{fi}} =\frac{(19 \times 13)+(21 \times15)+(23 \times16)+(25 \times18)+(27 \times16)+(29 \times15)+(31 \times13)}{13+15+16+18+16+15+13}=25$

Mean = 25

Given:

A number when divided by 280 leaves 73 as the remainder. 

Concept used:

Dividend = divisor × quotient + remainder

Calculation:

Given, the number when divided by 280 leaves 73 as the remainder ⇒ The number is of the form 280x + 73

 ∴ When 280x + 73 is divided by 35, that is (280x + 73)/35, we get remainder = 3

The correct answer is Optical character reader.

Key Points

• Optical character recognition(OCR) is the electronic or mechanical conversion of images of typed, handwritten, or printed text into machine-encoded text, whether from a scanned document, a photo of a document, a scene photo, or from subtitle text superimposed on an image.

Important Points

The correct answer is 1911.

• Delhi was officially announced as the capital of the British Raj by the then-Emperor George V, on December 12, 1911.

Important Points

• The capital was shifted from Calcutta as Delhi was the financial and political seat of many earlier empires and was located closer to the geographical center of India.

Additional Information

Lord Hardinge-II (1910-1916):

• Lord Hardinge held Delhi Durbar for the coronation of King George V in 1911 and announced the shift of the capital.
• He shifted the capital from Calcutta to Delhi in the year 1911.
• In the same event, he also annulled the partition of Bengal.
• Mahatma Gandhi returned to India during the tenure of Lord Hardinge-II (1910-1916).
• He returned from South Africa to India on the insistence of Bala Gangadhar Tilak in the year 1915 on Jan 9.
• Lord Hardinge II was the Governor-General of India when World War-I(1914 - 1919).

The correct answer is Chholiya.

• The popular sword dance in the Kumaun region of Uttarakhand is called Chholiya.

Important Points

• Kathak- is one of the eight major forms of Indian classical dance.
• Lavani- is a genre of music popular in Maharashtra, India.
• Ghoomar- Ghoomar or Ghumar is a traditional folk dance of Rajasthan.
• It was the Bhil tribe who performed it
• Performed to worship Goddess Sarasvati which was later embraced by other Rajasthani communities.
• The dance is chiefly performed by veiled women who wear flowing dresses called Ghaghara.

Calculation:

7 × 0.7 × 0.07 × 0.007 × 70 = 7 × 7/10 × 7/100 × 7/1000 × 70

= 7 × 7 × 7 × 1/100 × 7× 1/1000 × 7

= 16807/100000

= 0.16807

The correct answer is Non-metals.

• Non-metals are known as electronegative elements because they form negatively charged ions by the gain of electrons.

Important Points

• Metals- The solid state of matter, in which the atoms are very closely packed together and have a special type of bond known as the metallic bond is called a metal. eg. gold, silver.
• **Non-metals-**A non-metal is an element that is neither malleable nor ductile and does not conduct electricity. eg. Fluorine, chlorine.

Additional Information

• **Mixtures-**A mixture is the physical combination of two or more substances in which the identities are retained and are mixed in the form of solutions, suspensions, and colloids. an eg. mixture of salt and sand
• Alloy- is an admixture of metals or a metal combined with one or more other elements. e.g., combining the metallic elements gold and copper produces red gold, gold and silver become white gold, and silver combined with copper produces sterling silver.
• A compound- is a chemical substance composed of many identical molecules composed of atoms from more than one element held together by chemical bonds. A molecule consisting of atoms of only one element is therefore not a compound.

Given:

Tony purchases two cars A and B at a total cost of Rs. 6,50,000.

He sells car A with 20% profit and car B at a loss of 25% and gets the same selling price for both the cars

Concept used:

SP = (100 + profit%)/100 × CP = (100 - loss%)/100 × CP

Calculation:

∴ For Car A, SP₁ : CP₁ = (100 + 20) : 100 = 120 : 100 = 6 : 5

and for Car B, SP₂ : CP₂ = (100 - 25) : 100 = 75 : 100 = 3 : 4

Now, given  SP1 = SP₂ ∴ On making equal, we get, SP1 : CP1 = 6 : 5 and SP2 : CP2 = 6 : 8

⇒ CP1 : CP2 = 5 : 8 and total cost of car A and car B is Rs. 6,50,000

∴ Cost of car A = 5/13 × Rs. 6,50,000 = Rs. 2,50,000

and Cost of car B = 8/13 × Rs. 6,50,000 = Rs. 4,00,000

Concept used:

In such questions, we directly use options to get answers in order to save time

Calculation:

As we can see that values in option 1) and option 2) are greater that 0.000327 therefore (0.000327 - these values) will give negative values ∴ option eliminated

Now 0.000327 - 0.000004 = 0.000323 which being an odd number cannot be a square 

and 0.000327 - 0.000003 = 0.000324 which is a square of 0.0018

∴ Option 4) is right.

The correct answer is Jagjivan Ram.

The deputy prime minister of India (from 1977 to 1979) was Jagjivan Ram.

Jagjivan Ram was born in a small village, Chandwa in Shahabad District, now Bhojpur, in Bihar

Jagjivan Ram, popularly known as Babuji was a national leader, a freedom fighter, a crusader of social justice, a champion of depressed classes, an outstanding Parliamentarian, a true democrat, a distinguished Union Minister, an able administrator, and an exceptionally gifted orator.

He had a towering personality and played a long inning, spanning over half a century in Indian politics with commitment, dedication, and devotion.

Babuji was married to Indrani Devi in June 1935.

Indrani Devi was herself a freedom fighter and an educationist. 

Important Points

The list of all the Prime Ministers of India from 1947-2021 is below:

Remark

The correct answer is Ruhr.

• Germany is one of the world’s leading manufacturers of steel, with production concentrated in the Ruhr region;
• however, since the peak output of the early 1970s, a number of plants have closed

Key Points

• Steel:- Ruhr region.
• Automobile manufacturing:- Baden-Württemberg, Lower Saxony, Hessen, North Rhine–Westphalia, Bavaria, the Saarland, and Thuringia.
• Leading automobile manufacturers in Germany include Audi, BMW, Daimler AG (formerly Daimler-Benz and DaimlerChrysler), Ford, Opel, and Volkswagen.
• Electrical and electronic production:-  East Germany( East Berlin and Dresden ), Munich,  Stuttgart
• Chemical industry:- western Germany(along the Rhine or its tributaries, notably in Ludwigshafen, Hoechst, and Leverkusen

Given:

Ram has a movie in his pen drive that takes 1.75 GB of space. (1 GB = 1000 MB)

The speed of transferring the file is 2 MB/s.

Calculation:

Time taken to transfer the file = [1.75 GB]/[2 MB/s] = 1.75 × 1000 MB × 1/2MB/s = 1.75 × 500 seconds

= 1.75 × 500 × 1/60 minutes 

= 875/60 minutes

= 14 minutes 35 seconds

Given:

a cosθ – b sinθ = c

Concept used:

(a + b)² = a² + b² + 2ab

sin²θ + cos2​θ = 1

Calculation:

a cosθ – b sinθ = c

On squaring both sides, we get, a²cos2​θ + ​b²sin2​θ - 2ab × sinθ × cosθ = c²

⇒ a2(1 - sin2​θ) + ​b2(1 - cos2​θ) - 2ab × sinθ × cosθ = c²

⇒ a2 - a2sin2​θ + ​b2 - b2cos2​θ - 2ab × sinθ × cosθ = c2

⇒ a2 + ​b2 - c² = a2sin2​θ +  b2cos2​θ +  2ab × sinθ × cosθ

⇒ a2 + ​b2 - c2 = (a sin​θ +  b cos​θ)² 

⇒ a sin​θ +  b cos​θ = ± $\sqrt{a^2 + b^2 - c^2}$

The logic followed here is:

Square of the first number = second number.

i) 28 : 784 ⇒ 28² = 784;

ii) 19 : 361 ⇒ 192 = 361;

iii) 23 : 539 ⇒ 232 = 529 ≠ 539;

iv) 17 : 289 ⇒ 172 = 289;

Hence, '23 : 539' is different from the rest.

The correct answer is Vivek Express.

Key Points

• The Dibrugarh- Kanyakumari Vivek Express covers the longest train route of 4286km in 82 hrs and 30 mins
• These trains were announced in the Railway Budget of 2011-12 by the then Railway Minister Mamata Banerjee.
• These trains were started to commemorate the 150^th birth anniversary of Swami Vivekananda.

Additional Information

The correct answer is Muslim League.

• The Lucknow Pact is an agreement between the INC and the All India Muslim League.
• The Lucknow Pact was an agreement reached between the Indian National Congress and the Muslim League (AIMLM) at a joint session of both the parties held in Lucknow in December 1916.
• Through the pact, the two parties agreed to allow representation to religious minorities in the provincial legislatures.

Additional Information

• Provisions of pact
• Self Government in India.
• Abolition of Indian Council.
• Separation of the executive from judiciary.
• 1/3^rd representation to be given to Muslims in the Central Government.
• Separate electorates for all communities until a joint electorate is demanded by all.

The correct answer is Microsoft Excel.

• Excel is Microsoft’s spreadsheet program that can be used to organize, format, and calculate data.
• You can create formulas to aggregate large amounts of data, graph and chart data, create macros, and develop pivot tables.
• Originally a neck-and-neck competitor with Lotus 1-2-3, Excel is now the spreadsheet.

Key Points

Other major software from the MS Office Package:-

• Microsoft Word
• Word is Microsoft’s word processing app.
• It includes an array of features for document creation and editing, including Spell-check, a rich text editor, and page features such as justification, paragraphs, and indentation.
• You also benefit from the what-you-see-is-what-you-get (WYSIWYG) display – as the screen displays everything in the same way as the document will look when printed.​
• Microsoft PowerPoint
• Microsoft PowerPoint helps you create professional presentations.
• PowerPoint was first launched in 1990, using slides to display text, graphics, and multimedia.
• Since then, it’s added a variety of features to streamline and enhance presentations, such as transition effects, timers, and software integrations.

Additional Information

• Microsoft OneNote
• OneNote allows you to jot down your thoughts before you forget them. Then, notes can be shared with others.
• Much like a digital notebook, the application automatically saves and syncs notes.
• OneNote was introduced as a standard Office application in 2013, allowing even more users to be able to share their typed notes, drawings, and screengrabs with other online users.
• Microsoft Outlook
• Mainly used as an email application, Outlook is considered a personal information manager, coordinating your calendars, task managers, contacts, notes, journals, and browsing sessions.
• Outlook can be used as a stand-alone app, or it can be networked to connect multiple users to shared mailboxes and calendars under a single organization, for example.
• Microsoft Access
• Access is Microsoft’s database management system that provides a graphical user interface (GUI) and software development tools that allow for stored data or imported data from other databases.
• With Access, you can use data to create forms, tables, queries, and reports.

The correct answer is Kisan Kanya.

Key Points

• Kisan Kanya was a 1937 Hindi Cinecolor feature film which was directed by Moti Gidwani and produced by Ardeshir Irani of Imperial Pictures.
• It is largely remembered by the Indian public on account of it being India's first indigenously made colour film

 Important Points

• Dadasaheb Phalke's silent Raja Harishchandra (1913) is the first feature film made in India.
• The first Indian sound film, Ardeshir Irani's Alam Ara (1931), was commercially successful.
• By the 1930s, the industry was producing over 200 films per year.

Shortcut Trick

Rise in height (h) = Volume of immersed object ÷ Base area of cylinder

h = 8³ ÷ (π × 10²)

h = 512 ÷ (3.142 × 100) = 512 ÷ 314.2

h ≈ 1.629 cm

∴ The correct answer is 1.6 cm.

Alternate Method

Given:

Diameter of cylinder = 20 cm ⇒ Radius (r) = 10 cm

Edge of metal cube (a) = 8 cm

Value of π = 3.142

Formula:

Volume of water displaced = Volume of metal cube

π × r² × h = a³

Calculations:

⇒ 3.142 × 10 × 10 × h = 8 × 8 × 8

⇒ 314.2 × h = 512

⇒ h = 512 ÷ 314.2

⇒ h = 1.6295...

⇒ h ≈ 1.6 cm (correct to 1 decimal place)

∴ The correct answer is 1.6 cm.

Additional Information

Archimedes Principle (Volume)

When an object is completely immersed in a liquid, the volume of liquid displaced is equal to the volume of the object.

Cylinder and Cube Volumes

Volume of Cylinder = πr²h and Volume of Cube = a³, where r is radius, h is height, and a is the edge.

Rise in Liquid Level

Rise in height (h) = Volume of solid ÷ Area of the cross-section of the container.

Given:

District XYZ has 50,000 voters; out of them, 20% are urban voters and 80% rural voters.

Calculation:

Total votes = 50000

⇒ Urban votes originally = 20/100 × 50000 = 10000 and Rural votes originally = 80/100 × 50000 = 40000

For election, 25% of the rural voters were shifted to the urban area 

⇒ 25/100 × 40000 = 10000 rural votes shifted to urban area.

⇒ Now, Urban votes = 10000 + 10000 = 20000 and Rural votes = 40000 - 10000 = 30000

Out of the voters in both rural and urban areas, 60% are honest, 70% are hardworking, and 35% are both honest and hardworking.

Voters who were both honest and hardworking voted for NOTA.

∴ Votes swept by NOTA = 35% of urban + 35% of rural =  35/100 × 20000 + 35/100 × 30000 = 17500 

Candidate A found favour with the rural voters, rural voters left = 100% - 35% = 65% of rural voters

∴ Votes swept by A =  65/100 × 30000 = 19500

Candidate B found favour with the urban voters, Urban voters left = 100% - 35% = 65% of urban voters

∴ Votes swept by B =  65/100 × 20000 = 13000

⇒ Votes polled in favor of candidate A, candidate B and NOTA are 19500, 13000 and 17500 respectively

Concept used:

When smallest number asked, which when divided by a, b, c leaves the same remainder R in each case, that number is LCM[a, b, c] + R

Calculation:

∴ Smallest number which when divided by 12,16, 20.25 and 30 leaves the same remainder 3 in each case is LCM[12,16, 20.25, 30] + 3

= 1200 + 3

= 1203

The correct answer is Lal Bahadur Shastri.

Important Points

• Shastri Ji gave the famous slogan 'Jai Jawan, Jai Kisan' during the 1965 India-Pakistan war to boost the morale of soldiers and the farmers in the backdrop of the crucial war and food paucity.

About Lal Bahadur Shastri:-

1. He joined Mahatma Gandhi's non-cooperation movement against the British when he was 16.

• He joined the fight against colonial rule immediately after Gandhi called upon the countrymen to unite and fight for independence.

2. As the prime minister, he stopped drawing his salary during the war between India and Pakistan in 1965, when the country was facing a food shortage.
3. He played a key role in the White Revolution to make India self-reliant in milk production.

• Lal Bahadur Shastri created the National Dairy Development Board and backed the Amul milk co-operative in Gujarat's Anand.

4. Shastri was deeply concerned for the agriculture of India and was critical of the lack of contact between the peasants and the elites, as per Gilbert Etienne's book Indian Villages.

• He also promoted the Green Revolution with the aim of farmers' prosperity and to make India self-reliant in foodgrain production. Green Revolution remains the model operation in India that benefited the states of Punjab, Haryana, and Uttar Pradesh.

5. Shastri's tenure as the prime minister was only for 19 months as he died in Tashkent on January 11, 1966. He was succeeded by Nehru's daughter Indira Gandhi.
6. "India will have to hang down her head in shame if even one person is left who is said in any way to be untouchable," was one among many inspirational quotes given by him.

The correct answer is Rajasthan.

• Keoladeo National Park, located in the State of Rajasthan, is an important wintering ground of Palaearctic migratory waterfowl and is renowned for its large congregation of non-migratory resident breeding birds.

Key Points

• This is the only park in India that is completely enclosed by a 2 m high boundary wall that minimizes the possibilities of any encroachment and biotic disturbances
• But there is no possibility of a buffer zone.
• As the wetlands of Keoladeo are man-made, they are dependent on the monsoon and on water pumped in from outside, traditionally provided from the “Ajan Bandh” reservoir.

Additional Information

• Mukundra Hills:
• Mukundra Hills National Park is a national park in Rajasthan, India.
• It was established in 2004 and consists of three wildlife sanctuaries: Darrah Wildlife Sanctuary, National Chambal Sanctuary, and Jawahar Sagar Wildlife Sanctuary.
• It is located in the Kathiawar-Gir dry deciduous forests.
• Ranthambore:
• Ranthambore National Park is a vast wildlife reserve near the town of Sawai Madhopur in Rajasthan, northern India.
• It is a former royal hunting ground and home to tigers, leopards, and marsh crocodiles.
• Desert National Park:
• Desert National Park is one of the largest protected lands in the districts of Jaisalmer and Barmer in Rajasthan.
• The park’s vegetation is protected by local communities like the Bishnois.
• The Desert National Park in Rajasthan is one of the best habitats for the Great Indian Bustard.
• It is known as the breeding center of Great Indian Bustard.

Given:

6-storey building with 20 rooms on each floor

Three groups of officers start the search operation simultaneously

The first group searches the 1^st and 2^nd floors

The second group handles the 3^rd and 4^th floors

The third group takes over the 5^th and 6^th floors

It takes 1 minute to reach any nearest floor

It takes 1 minute to search each room

Formula Used:

Total time for each group = time to search rooms on both floors + time to move between floors + time to reach the first floor they search

Calculation:

First group:

Time to reach the 1^st floor: 1 minute

Time to search 20 rooms on the 1^st floor: 20 minutes.

Time to move to the 2^nd floor: 1 minute

Time to search 20 rooms on the 1^st floor: 20 minutes.

Total time = 1 + 20 + 20 + 1 = 42 minutes

Second group:

Time to reach the 3^rd floor: 3 minutes

Time to search 20 rooms on the 3^rd floor: 20 minutes.

Time to move to the 4^th floor: 1 minute

Time to search 20 rooms on the 4^th floor: 20 minutes.

Total time = 3 + 20 + 20 + 1 = 44 minutes 

Third group:

Time to reach the 5^th floor: 5 minutes

Time to search 20 rooms on the 5^th floor: 20 minutes.

Time to move to the 6^th floor: 1 minute

Time to search 20 rooms on the 6^th floor: 20 minutes.

Total time = 5 + 20 + 20 + 1 = 46 minutes

Since all groups start simultaneously, the total time taken to complete the entire search operation will be the maximum time taken by any group.

Therefore, the total time to complete the entire search operation is 46 minutes.

Given:

x = $\frac{√5 + 1}{√5 - 1}$ and y = $\frac{√5 - 1}{√5 + 1}$

Concept used:

(x + y)2 = x2 + y2 + 2xy

⇒ x2 + y² = (x + y)2 - 2xy

Calculation:

xy = $\frac{√5 + 1}{√5 - 1}$ ×  $\frac{√5 - 1}{√5 + 1}$ = 1

x + y = $\frac{√5 + 1}{√5 - 1}$ + $\frac{√5 - 1}{√5 + 1}$ = $\frac{√5 + 1}{√5 - 1} + \frac{√5 - 1}{√5 + 1}$ 

= [5 + 1 + 2√5 + 5 + 1 - 2√5]/[5 - 1]

= 12/4

= 3

Putting values in x2 + y2 = (x + y)2 - 2xy, we get x2 + y2 = 3² - 2 × 1 = 7

∴ x2 + y2 – 4 = 7 - 4 = 3

The correct answer is Deepa Malik.

• Deepa Malik is an Indian athlete.
• She is the first Indian woman to win a medal in Paralympic Games and won a Silver medal at the 2016 Summer Paralympics in shot put.
• She also won gold in the F-53/54 Javelin event at the para athletic Grand Prix held in Dubai in 2018.
• She is currently the world number one in the F-53 category.

Additional Information

The correct answer is Post-payment of goods and services.

• e-WAY BILL: It is based on the idea "One Nation – One Tax – One Market – One e-Way Bill"
• E-way bill is related to Post-payment of goods and services.

Key Points

• e-WAY BILL: It is based on the idea "One Nation – One Tax – One Market – One e-Way Bill"
• The e-Way Bill System is a document that gives details regarding the movement of goods and has to be carried by transporters for any consignment exceeding Rs 50,000.
• The complete e-Way Bill System, which includes the development of web-based IT Applications, hosting IT infrastructure (which includes network, computing, and security), and operation & management of the system is the responsibility of the National Informatics Centre (NIC).
• It provides multiple modes of e-way Bill generation including Web, Bulk Upload, SMS, Mobile App, and API for Large Taxpayers/ GST Suvidha Providers (GSPs).

The correct answer is J J Thomson.

• J J Thomson, a  British physicist was awarded the Nobel Prize in Physics in 1906 for his work on the discovery of electrons.

Key Points

Given:

An observer 1.5 m tall is standing 28.5 m away at the same level as the foot of a tower.

Angle of elevation of the observer watching the top of the tower is 45 degrees

Concept used:

When Angle of elevation is 45° then H : P : B = √2 : 1 : 1 

Calculation:

ATQ, CE = 1.5 m

and ED = 28.5 m = CB and in ΔABC,  Angle of elevation is 45°⇒ AB = BC

then AD = AB + BD = 28.5 + 1.5 m

⇒ AD = 30 m

The correct answer is Reverberation.

• Reverberation: The persistence of sound in an enclosed or partially enclosed space after the source of sound has stopped; by extension, in some contexts, the sound that so persists.

Additional Information

• Intensity: It describes how much there is of physical quantities, such as sound and light output from a source.
• It refers to the magnitude, or strength, of a given physical quantity at a given location in space.
• Depending on the type of physical quantity, intensity can be measured in different ways.
• Ranging: is the procedure by which the distance of an object like the wall, mountain, etc can be estimated.
• Here the phenomena of the echo of sound from an object under study are used.
• Vibration: A periodic motion of the particles of an elastic body or medium in alternately opposite directions from the position of equilibrium when that equilibrium has been disturbed (as when a stretched cord produces musical tones or molecules in the air transmit sounds to the ear)

The logic followed here is:

• NTPC, SAIL and BHEL are Maharatna PSUs of Government of India whereas CRPF is not a Maharatna PSU.

1. CRPF : Central Reserve Police Force
2. NTPC: National Thermal Power Corporation
3. SAIL : Steel  Authority of India Limited.
4. BHEL : Bharat Heavy Electricals Limited.

Hence, CRPF is the odd one.

Concept used:

To compare ratio, we make denominator same by making each denominator equal to LCM of denominators

and then compare value of numerators to get desired results

Calculation:

Now, LCM [28, 18, 21, 27] = 7 × 2 × 2 × 3 × 3 × 3 = 756

On making denominators same , we get, [15 × 27]/[28 × 27], [5 × 42]/[18 × 42], [13 × 36]/[21 × 36], [19 × 28]/[27 × 28]

Now all denominators are same ∴ we compare value of numerators (405, 210, 468, 532) to get greatest ratio and greatest numerator is 19 × 28 = 532

∴ greatest ratio = 19 : 27

Given:

A man travels from A to B at a speed of 50 km/h and returns by increasing his speed by 40%

Concept used:

When distance travelled is same, Average speed =  2S₁S₂/[S₁ + S₂]

Calculation:

S₁ = 50 km/h and S₂ = (140/100) × 50 = 70 km/h

∴ Average speed =  2 × 50 × 70 /[50 + 70]

= 7000/120

= 58.33 km/h

The correct answer is Sound Navigation and Ranging.

Important Points

• Sonar, technique for detecting and determining the distance and direction of underwater objects by acoustic means.
• Sound waves emitted by or reflected from the object are detected by sonar apparatus and analyzed for the information they contain.

Key PointsUses of sonar:-

• In the military field are a large number of systems that detect, identify, and locate submarines.
• Sonar is also used in acoustic homing torpedoes, in acoustic mines, and in mine detection.
• Nonmilitary uses of sonar include fish finding, depth sounding, mapping of the sea bottom, Doppler navigation, and acoustic locating for divers.

Given:

Three-fourth of a number is 50 more than its one-third

Calculation:

Let the number be 'x'

ATQ, 3/4 × x = 50 + 1/3 × x

⇒ [3/4 - 1/3] × x = 50

⇒ 5/12 × x = 50

⇒ x = 50 × 12/5

⇒ x = 120

Given:

A positive number when decreased by 3, is equal to 28 times the reciprocal of the number

Calculation:

Let the number be 'x'.

ATQ, x - 3 = 28 × 1/x 

⇒ x² - 3x - 28 = 0

⇒ x2 - 7x + 4x - 28 = 0

⇒ x(x - 7) + 4(x - 7) = 0

⇒ (x + 4)(x - 7) = 0

⇒ x = -4, 7

∴ Since the number is positive, the number is 7.

The correct answer is Dag Hammarskjold.

• Dag Hammarskjold said, "The United Nations was not created to take mankind to heaven, but to save humanity from hell."

About United Nations:-

• UN was founded as a successor to the League of Nations on 24^th October 1945.

Important Points

• League of Nations, an organization for international cooperation established on January 10, 1920
• was created by the Treaty of Versailles
• It was formed as an initiative of the victorious Allied powers at the end of World War I.
• But, it failed to prevent World War II.
• Thus, United Nations (UN), an international organization established on October 24, 1945.

​

Key Points

The statement highlights a problem that road accidents are increasing.

• Course of action I suggests that government should take steps to promote discipline and follow traffic rules through awareness programmes. This can reduce accidents since more people will be aware and will follow the rules. Thus, action I logically follows the statement.
• Restricting registration of new vehicles may reduce the number of vehicles on road but the problem is a road accident, which is not addressed by this action. Even one vehicle can cause multiple accidents when people or the driver are not following the traffic rules. Thus, action II does not logically follow the statement.

Hence the correct answer is option 2.

The correct answer is Banasura Sagar Dam.

Key Points

• Banasura Sagar Dam - located in Wayanad District of Kerala in the Western Ghats.
• It is the largest earthen dam in India and the second largest in Asia and a starting point for hikes into the surrounding mountains.
• It is an important tourist attraction.
• Krishna Raja Sagar Dam - was built across river Kaveri for the Mysore and Mandya districts in Karnataka in 1932.
• Mettur Dam is one of the largest dams in India and also the largest in Tamil Nadu, located across the river Cauvery where it enters the plains.
• Nagarjuna Sagar Dam is a masonry dam across the Krishna River at Nagarjuna Sagar which straddles the border between Nalgonda district in Telangana and Guntur district in Andhra Pradesh.

Calculation:

x = 0.3333 × 0.25 × 0.499 × 0.125 × 24

= 3333 × 1/10000 × 25 × 1/100 × 499 × 1/1000 × 125 × 1/1000 × 24

= 3333 × 1/10000 × 1/4 × 499 × 1/1000 × 1/8 × 24

= 3333 × 1/10000 × 1/4 × 499 × 1/1000 × 3

= 9999 × 1/10000 × 1/4 × 499 × 1/1000

~ 10000 × 1/10000 × 1/4 × 500 × 1/1000

~ 1 × 1/4 × 1/2

= 1/8

The correct answer is Capital Goods.

• Capital goods:- Goods that are bought not for meeting the immediate need of the consumer but for producing other goods

Key Points

• Capital goods:- Goods that are bought not for meeting the immediate need of the consumer but for producing other goods
• Final goods:- These are those which are used for:
• Personal consumption (like bread purchased by consumer household), or
• Investment or capital formation (like building, machinery purchased by a firm)
• Intermediate goods:- These are those, which are used for:
• Further processing (like sugar used for making sweets), or
• Resale in the same year (If car purchased by a car dealer for resale).
• Consumption goods:- Those goods which satisfy the wants of consumers directly.

Concept used:

Mean = ∑xifi/∑fi

Calculation:

∑xifi = 303 + 9P

∑f_i = 41 + p

Mean = ∑xifi/∑fi

Putting values, we get

⇒ 8 = [303 + 9p]/(41 + p)

⇒ 328 + 8p = [303 + 9p]

⇒ 328 - 303 = 9p - 8p

⇒ p = 25

⇒ p = 25

The correct answer is Arunachal Pradesh.

• The minimum population density works out in Arunachal Pradesh for both the 2001 and 2011 Census.

Key Points

• The Indian Census 2011 can be referred to as the seventh census operation after Indian independence.
• As Per Census 2011:-

1. The most populated state in India is Uttar Pradesh.
2. The least populated state in the country is Sikkim. (NOTE: Difference between population and population density).
3. Kerala is the highest literate state in the country.
4. Bihar is the least literate state.
5. Kerala represents the highest sex ratio.
6. Haryana features the lowest sex ratio in India.

The correct answer is 1923.

• In June 1923 the Radio Club of Bombay made the first-ever broadcast in the country.

Important Points

• In June 1923 the Radio Club of Bombay made the first-ever broadcast in the country.
• 13 years later AIR (All India Radio) then known as the Indian Broadcasting Service came into existence.
• In April 1930, the Indian Broadcasting Service, under the Department of Industries and Labour, commenced its operations on an experimental basis.
• Lionel Fielden was appointed the first Controller of Broadcasting in August 1935.
• In the following month Akashvani Mysore, a private radio station was set up.
• On June 8, 1936, the Indian State Broadcasting Service became All India Radio.

The correct answer is The Hague.

• The International Court of Justice, which has its seat in The Hague, Netherlands is the principal judicial organ of the United Nations.

Given:

Three cubes whose edges measure 3 cm, 4 cm and 5 cm respectively, are melted to form a single cube

Formula used:

Volume of cube = a3 

Calculation:

Sum of volume of three cubes whose edges measure 3 cm, 4 cm and 5 cm =  Volume of new cube

⇒ 3³ + 4³ + 5³ = a³

⇒ 27 + 64 + 125 = a³

⇒ a³ = 216

⇒ a = 6 cm

Given:

Sum of the squares of zeros of quadratic polynomial f(x) = x2 – 8x + k is 40

Concept used:

Sum of the zeros of quadratic polynomial f(x) = p2 + qx + r is -q/p

Product of the zeros of quadratic polynomial f(x) = p2 + qx + r is r/p

(a + b)² = a² + b² + 2ab

Calculation:

Let a and b be two zeroes of f(x)

then, Sum of the zeros of quadratic polynomial f(x) = a + b = -(-8)/1 = 8

and, Product of the zeros of quadratic polynomial f(x) = ab = k/1 = k

given, Sum of the squares of zeros of quadratic polynomial f(x) = 40 

⇒ a² + b2 = 40

Now, (a + b)2 - 2ab = a2 + b2 

⇒ 8² - 2 × k = 40

⇒ 64 - 2 × k = 40

⇒ k = [64 - 40]/2

⇒ k = 12

The correct answer is M S Swaminathan.

• In India, the credit for successfully executing the Green Revolution goes to M S Swaminathan.
• About M S Swaminathan:-
• Indian geneticist and international administrator.
• He is renowned for his leading role in India’s “Green Revolution,”
• A program under which high-yield varieties of wheat and rice seedlings were planted in the fields of poor farmers.

Key Points

• Subrahmanyan Chandrasekhar:-
• Subrahmanyan Chandrasekhar was an astrophysicist.
• He discovered that massive stars can collapse under their own gravity to reach enormous or even infinite densities.
• Today we call these collapsed stars neutron stars and black holes.
• Traveling by ship in 1930 to begin his Ph.D. at Cambridge, he calculated a number.
• In his honor this number is now called The Chandrasekhar Limit. Its value is 1.4(This number determines the fate of stars).
• In several billion years, our Sun will become a white dwarf.
• Satyendra Nath Bose
• Satyendra Nath Bose FRS was an Indian mathematician and physicist specialising in theoretical physics.
• He is best known for his work on quantum mechanics in the early 1920s
• He collaborated with Albert Einstein in developing the foundation for Bose-Einstein statistics and the theory of the Bose-Einstein condensate.
• Harish-Chandra FRS
• Harishchandra was an Indian American mathematician and physicist
• He did fundamental work in representation theory, especially harmonic analysis on semisimple Lie groups

The logic followed here is:

Let us analyze the position of letters of BALL in the given codes.

B          A         L          L

1          2          3          4

Let us examine the options for the code of KITE:

Now check option (3)

K          I           T         E

1          2          3          4

Hence, the code for KITE in the given code language will be 'SKY BRAIN TABLE GOES'.

Alternate Method

Let us analyze the position of letters of BALL in the given codes.

• BALL → OBEY(2) COMA(4) LORD(1) GULF(3)

Let us examine the options for the code of KITE

1. KITE → SKILL(2) ROBIN(4) TELL(1)  GOAT  (No E in GOAT)
2. KITE → SKIN(2) ORBIT(4) TOTAL (1 and 3) ENTER (1 and 4)
3. KITE → SKY(2) BRAIN(4) TABLE(1) GOES (3)
4. KITE → SKIP(2) OPTIC(4) TOOL(1)  GET (2)

Hence, the code for KITE in the given code language will be 'SKY BRAIN TABLE GOES'.

The correct answer is 1869.

• In the year 1869, the Suez Canal was opened and this further strengthened Bombay's link with the world economy.
• Suez Canal is an artificial sea-level waterway located in Egypt and connects the Mediterranean Sea with the Gulf of Suez, a northern branch of the Red Sea.

Key Points 

• The 193.30 km (120 miles)-long Suez Canal is an artificial sea-level waterway located in Egypt and connects the Mediterranean Sea with the Gulf of Suez, a northern branch of the Red Sea.
• Officially opened in November 1869, the Suez Canal is one of the most heavily used shipping routes in the world, witnessing the passage of thousands of vessels every year.
• The canal, which separates Asia from the African continent, offers the shortest maritime route between Europe and the regions that share a border with the Indian Ocean and the Western Pacific Ocean.

Additional Information

• Connecting the Red Sea and the Mediterranean, the canal accounts for roughly 10 percent of global maritime trade
• It is a source of much-needed foreign currency for Egypt(It is controlled and managed by Egypt).
• In March 2021, the Ever Given supertanker -- a behemoth with a deadweight tonnage of 199,000 -- got stuck diagonally across the canal during a sandstorm.

The logic followed here is:

Similarly,

Hence, the code for 'BRAINSTORMER' will be AIBRSNRMTORE'.

The least possible Venn Diagram is as follows:

Conclusions:

1. Some mobiles are watches. → True (as all mobiles are watches)
2. All mobiles are books. → False (as it is possible but not definite)

Hence, only conclusion I follows.

The correct answer is Banaras Hindu University.

• Mahatma Gandhi's first major public appearance in India after returning from South Africa was at the opening of the BHU(Banaras Hindu University) in February 1916.

Key Points

• Gopal Krishna Gokhale was Gandhiji’s acknowledged political mentor.
• On Gokhale’s advice, Gandhiji spent a year travelling around British India, getting to know the land and its people.
• On 4 February 1916, Gandhiji made his first public appearance after returning from South Africa to BHU.
• He addressed the audience in BHU, mostly consisting of impressionable youths, princes, bedecked and bejewelled, etc.

 Important Points

About Gandhiji:

• 1916 - 1^st public appearance --> Banaras Hindu University(BHU)
• 1917 - 1^st Civil Disobedience Movement  --> Champaran, Bihar
• 1918 - 1^st Hunger Strike --> Ahmedabad Mill Strike
• 1918 - 1^st Non Cooperation Movement(NCM) --> Kheda Satyagraha
• 1919 - 1^st mass strike --> Rowlatt Satyagraha
• 1919-1922 - Khilafat Movement & NCM