RRB NTPC CBT-I Official Paper (Held On: 5 Jan 2021 Shift 2) (Previous Year Paper)

Given: A, AT, BAT, ?

Logic: Marks of a letter are its position number in the English alphabet.

By checking options:

(1) BAIT

(2) BATE

(3) BATH

(4) BATS

Now, by comparing BATS will give more points in the scrabble game.

Hence, BATS is the correct answer.

Given:

Highest salary in C5 = 75 lakhs

Lowest salary in C6 = 50 lakhs 

Calculation:

Difference between the highest and lowest salary = 75 - 50 = 25 lakhs 

Difference percentage = 25/50 × 100 = 50%

∴ The required percentage is 50%

Concept:

Pythagoras Theorem says that the sum of the square of base and perpendicular is equal to the square of the hypotenuse of a right angled triangle or the sum of the squares of two sides is equal to the square of the third side. 

Calculation:

Let us check this property with the above options;

Option 1: 4² + 5² ≠ 7²

Option 2: 5² + 5² ≠ 6²

Option 3: 4² + 5² ≠ 6²

Option 4: 7² + 24² = 25²

∴ The sides in the option 4 are of a right angle triangle.

The correct answer is Kanishka.

• ​**Kanishka convened the fourth Buddhist Council in Kashmir.**​

Important Points

• The fourth Buddhist council was convened at Kudalavana, Kashmir in 72AD.
• It was presided by Vasumitra and deputed by Asvaghosha.
• The fourth Buddhist council dealt with the serious conflict between Sarvasthivada teachers of Kashmir and Gandhara.
• Sarvasthivada was one of the early Buddhist schools established during the reign of Ashoka.
• Buddhism was divided into two sects namely Hinayana and Mahayana after this council.

Additional Information

The correct answer is Norton.

• Norton Antivirus is an anti-virus or anti-malware software product developed and distributed by Norton LifeLock since 1991 as part of its Norton family of computer security products.

Important Points

Given:

$\frac{1}{5√2-7}=a√2+b$

Formula used:

(a + b)(a - b) = a² - b²

Calculation:

$\frac{1}{5√2-7}=a√2+b$

By rationalizing;

⇒ 1/(5√2 - 7)  × (5√2 + 7)/(5√2 + 7) = a√2 + b 

⇒ (5√2 + 7)/((5√2)² - (7)²) = a√2 + b 

⇒ (5√2 + 7)/(50 - 49) = a√2 + b 

⇒ (5√2 + 7)/1 = a√2 + b 

⇒ (5√2 + 7) = a√2 + b 

By comparing LHS and RHS;

∴ a = 5, b = 7

The correct answer is New Delhi, India.

• **The three Days World Sustainable Development Summit 2019 was organized in New Delhi, India.**​

Important Points

• World Sustainable Development Summit, 2019 was organized on 11-13 February 2019.
• It was hosted by The Energy and Resources Institute.
• World Sustainable Development Summit will focus on the theme 'Attaining the 2030 Agenda: Delivering on our Promise'.

Additional Information

Given:

Cost of 10 books = Rs.560 

Calculation:

Cost of 1 book = Rs.560/10 

⇒ Cost of 1 book = 56 

∴ Cost of 56 books = 56 × 56

⇒ 3136

The correct answer is Gharapuri Island.

• The Elephanta caves are situated on Gharapuri Island.

Key Points

• The Elephanta caves are located in western India on Elephanta island also called the island of Gharapuri.
• It features two hillocks separated by a narrow valley.
• The Elephanta caves contain a collection of rock art linked to the cult of shiva.
• Designated by UNESCO as a world heritage site.

Additional Information

The correct answer is Brasilia.

Important Points

• BRICS is an important grouping bringing together the major emerging economies from the world.
• It comprises 41% of the world's population and 24% of the world's GDP and over 16% of Worlds trade.
• It emphasizes the three pillars of Political and Security, economic and financial, cultural and people-to-people exchanges.
• The theme of 11^th BRICS Summit: Economic Growth for an Innovative Future.

Additional Information

The correct answer is Arctic

• Arctic is a cold winter desert.

​

Key Points

• The Arctic Desert is considered the major cold winter desert in the world.
• It spans across Greenland, Northern Canada, Siberia, and Alaska.
• It has extremely low temperatures (as low as −40°C) and receives very little precipitation, mostly in the form of snow.
• Annual precipitation is less than 250 mm.
• Although covered in ice, it is classified as a desert due to its very low humidity and minimal precipitation.
• The Earth has two main cold deserts:
• Arctic Desert (North Pole region)
• Antarctic Desert (South Pole region)
• Life is minimal in these deserts, with only specially adapted organisms like polar bears, seals, lichens, and mosses surviving in such harsh conditions.

Additional Information

Given:

Perimeters of two similar triangles ΔABC and ΔPQR are 36 cm and 24 cm respectively.

PQ = 10cm 

Concept:

The ratio of perimeters of two similar triangles is equal to the ratio of their corresponding sides.  

Calculation:

Perimeter of  ΔABC/Perimeter of ΔPQR = AB/PQ 

⇒ 36/24 = AB/10 

⇒ 3/2 = AB/10

⇒ AB = 3 × 10/2 

∴ AB = 15 cm

The correct answer is 1853.

• **The first passenger railway line was opened between Bombay and Thane in 1853.**​

Important Points

• The first passenger train ran between Bori Bunder(Bombay) and Thane on 16^th April 1853.
• It was a distance of 34km.
• It was operated by three locomotives Sahib, Sultan, and Sindh.
• It had thirteen carriages.

The correct answer is V. K. Krishna Menon.

• The minister who resigned during the India-China war in 1962 is V. K. Krishna Menon.��

​

Key Points

• Vengali Krishna Kurup Krishna Menon was an Indian politician,non-career diplomat, and nationalist.
• He was born on 3 May 1896, Kozhikode.
• He wrote the first draft of Preamble to the Constitution of India.
• He coined the name Non-Alignment movement.

Important Points

• The Sino-India war between India and china occurred in October-November 1962.
• A disputed Himalayan border was the main cause of the war.

Additional Information

Given:

HCF of two numbers = 15 

LCM of two numbers = 225 

Formula used:

 Product of two numbers = HCF × LCM

Calculation:`

Let the numbers be =  a and b

ab = 15 × 225 

⇒ 45b = 15 × 225 

∴ b = 15 × 225/45 or 75

The correct answer is Saliva.

• Saliva helps in food digestion.

Important Points

• Saliva is a clear liquid made by the salivary glands in the mouth area.
• It is mostly made of water.
• Saliva also contains Mucus, white blood cells, epithelial cells, enzymes, antimicrobial agents.

Additional Information

The correct answer is provincial autonomy.

Important Points

• The Government of India Act, 1935 was passed by British Parliament in 1935 and came into effect in 1937.
• It was based on the report by a Joint Select Committee led by Lord Linlithgow.
• It was organized into 11 parts and 10 schedules.
• Key features: The creation of a 'Federation of India' that consisted of two levels, a central executive and Parliament, and below it provinces and princely states.
• It discarded the dyarchy system at the provincial level. And it was replaced with the Provincial Autonomy. Hence option 1 is correct.
• A federal court was established.
• It further extended the principle of communal representation by providing separate electorates for depressed classes (scheduled castes), women and labour (workers).

Given:

sin 2A = 2 sin A

Formula used:

sin 2A = 2sinA cosA

Calculation:

sin 2A = 2 sin A

⇒ 2sinA cosA = 2 sin A

⇒ cosA = 1 

⇒ cosA = cos0° 

∴ A = 0° 

Alternate MethodBy Hit and Trial Method

At A = 0°; sin 2A = 2 sin A

At A = 60°; sin 2A ≠  2 sin A

At A = 30°; sin 2A ≠  2 sin A

At A = 90°; sin 2A ≠  2 sin A

Given:

Calculation:

Option1:

Concept:

When ΔABC and ΔPQR are similar to each other, the ratio of their corresponding sides will be equal.

⇒ AB/PQ = BC/QR = AC/PR

Let us check the condition;

⇒ 2.5/5 = 4.5/9 = 3.5/7 

∵ 1/2 = 1/2 = 1/2 

∴ ΔABC ~ ΔPQR  (SSS)

Option 2:

Concept:

Two similar triangles have their corresponding angles equal to each other. 

In ΔABC, ∠A = 40°, ∠B = 60°, ∠C = 80°

In ΔPQR, ∠P = 40°, ∠Q = 20°, ∠R = 120°

∵ ∠A  =  ∠P = 40° but ∠B ≠ ∠Q & ∠C ≠ ∠R 

∴ ΔABC is not similar to ΔPQR.

Option 3:

Let us check SSS criteria of similarity with ΔABC and ΔPQR . 

⇒ 3/4.5 ≠  7.5/7.5 ≠ 5/6

∴ ΔABC is not similar to ΔPQR.

Option 4:

Two similar triangles have their corresponding angles equal to each other. 

In ΔABC, ∠A = 50°, ∠B = 70°, ∠C = 60°

In ΔPQR, ∠P = 50°, ∠Q = 60°, ∠R = 70°

∵ ∠A  =  ∠P = 40° but ∠B ≠ ∠Q & ∠C ≠ ∠R 

∴ ΔABC is not similar to ΔPQR.

∴ Option 1 satisfies the condition of similarity of two triangles.

The correct answer is GSLV MK-III.

• GSLV MK-III was the launch vehicle used by the Indian Space Research Organisation (ISRO) for its lunar exploration mission, Chandrayaan-2.

Important Points

• GSLV MK-III is a three-stage heavy-lift launch vehicle developed by ISRO.
• It will be capable of placing a 4-tonne class satellite of the GSAT series into Geosynchronous Transfer Orbits(GTO).
• The vehicle has two solid strap-ons, a core liquid booster, and a cryogenic upper stage.
• Chandrayan-2 is the second lunar exploration mission developed by ISRO,
• ISRO-Indian Space Research Organization is the national space agency of India.

Additional Information

• PSLV-C 21-Indian Polar Launch Vehicle launched a french earth observation satellite along with a microsatellite from Japan.

The correct answer is Agriculture.

• In India, commercial banks have the highest share in the disbursement of credit to Agriculture.​

​

Important Points 

• Priority Sector Lending: The government of India and the Reserve Bank of India consider some sectors as important as they need development to fulfill the basic needs of the country.
• Categories under priority sector: Agriculture.
• Micro, Small and Medium Enterprises
• Export Credit
• Education
• Housing
• Social infrastructure
• Renewable Energy
• Others.

Formula used:

Class marks = (Lower limit + Upper limit)/2 

Calculation:

The sum of the class marks of 90-120 and 120-150 = (90 + 120)/2 + (120 + 150)/2 

⇒ 210/2 + 270/2 = 105 + 135 = 240

∴ The required result = 240

The correct answer is IRNSS-1I.

Important Points

• Indian Regional Navigation System is an independent regional navigation system developed by India.
• It is designed to provide accurate position information service to the users in India as well as the region extending up to 1500 km from its boundary which is its primary service area

The correct answer is Goa.

• As per the report of the Ministry of Statistics and Programme Implementation released in Jan 2020, for FY 2018-19, Goa has the highest per capita income among all Indian states and union territories.

​

Key Points

• Per capita income is the average income earned per person in a given area.
• Goa is a state in western India.
• It was declared as a state on 30 May 1987.
• Its capital is Panaji.
• Its official language is Konkani one of the 22 languages from the Eighth Schedule of the constitution.

Important Points

• Ministry of Statistics and Programme Implementation came into existence as an independent ministry on 15 October 1999.
• The Ministry has two wings one relating to statistics and others Programme implementation.

Additional Information

Given: Map : Location :: Compass : ?

Logic:

Map is used to find Location.

Similarly,

Compass is used to find Direction.

Hence, direction is the correct answer.

Given:

35 people could complete a work in 24 days

Formula used:

Total work = People × days 

Calculation:

Let the extra number of people to be employed = a 

As per the question; 

35 × 24 = 35 × 6 + 10(a + 35)

⇒ 840 - 210 = 10a + 350

⇒ 630 - 350 = 10a 

⇒ 280/10 = a 

⇒ a = 28

∴ No of extra people to be employed = 28

Given:

Time taken by first puncture to flat the tyre  = 9 minutes 

Time taken by second puncture to flat the tyre = 6 minutes 

Formula used:

Total work = Efficiency × Time 

Calculation:

By LCM Method

Let the total capacity of air in the tyre be the LCM of 9 and 6 as a common multiple. 

∴ Time taken by both the punctures to flat the tyre = 18/(2 + 3)

⇒ $3\frac{3}{5}$ minutes 

Alternate MethodLet the capacity of the tyre be = 1 

Quantity of air leaked by first puncture in 1 minute = 1/9

Quantity of air leaked by second puncture in 1 minute = 1/6 

⇒ Quantity of air leaked by both the punctures = 1/9 + 1/6 

⇒ 5/18

∴ Time taken by both the punctures to flat the tyre = 1 ÷ 5/18 

⇒ 18/5 =  $3\frac{3}{5}$ minutes

The correct answer is Mumbai.

• The 5^th India Nuclear New Build Congress conference was organized at Mumbai in May 2019.

​

Important Points

• India Nuclear New Build Congress 2019 is one of the most recognized and best-established nuclear industry conferences in India.
• It will focus on Nuclear Power Ambition in India.
• It is the best platform for discussing national incentives, nuclear liability, law, compensation and insurance, financing, investment and pricing, project management, supply chain, fuel cycle and waste management, advanced technologies.
• 2019 conference emphasizes on grasping new opportunities in the 'Make in India' program of localized manufacturing.

Additional Information

The correct answer is Asymmetrical Digital Subscriber Line.

Important Points

• Asymmetrical Digital Subscriber Line is a type of digital subscriber line technology a data communications technology that enables faster data transmission over copper telephone lines.
• Asymmetrical Digital Subscriber Line works by using spectrum above band used by voice telephone calls.
• It provides high transmission speed for video and voice over an ordinary copper telephone wire.

Given:

Natural numbers: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Concept:

Prime numbers = Those numbers which have 2 factors. That is 1 and the number itself. 

Here, prime numbers are 2, 3, 5, 7, 11

Composite numbers = Those numbers which have more than 2 factors are composite numbers.

Here, these are 4, 6, 8, 9, 10, 12 (6 in total)

Calculation:

Total numbers = 11

∴ The fraction of composite numbers from 2 to 12 = 6/11

Given:

A + 0 = 0 + A = A, where A is a real number

Concept:

Commutative property of addition:

a + b = b + a    [a and b are real numbers]

Associative property of addition:

a + (b + c) = (a + b) + c     [a, b & c are real numbers]

Inverse property of addition:

a + (- a) = 0      [a is a real number]

Additive property of zero:

a + 0 = 0 + a     [a is a real number]

∴ The correct answer is option 4.

Given: 

(1) Altimeter → An altimeter is a device that measures altitude.

(2) Barometer → A barometer is a scientific instrument used to measure atmospheric pressure.

(3) Dynamometer → A dynamometer is a device that measures force, torque or power.

(4) Thermometer → A thermometer measures the temperature of a person or premises indicating the intensity of heat or cold. 

The logic follows here is: All these are measuring instruments.

Hence, measuring instruments is the correct answer.

Logic: Column wise:

(1^st number - 3^rd number) + 2 = 2^nd number

Column 1: (30 - 12) + 2 = 18 + 2 = 20;

Column 2: (42 - 14) + 2 = 28 + 2 = 30;

Similarly,

Column 3: (56 - 16) + 2 = 40 + 2 = 42.

Hence, 42 is the correct answer.

Given: Sportspersons, Shooters, Swimmers

Logic: All shooters and swimmers are sportspersons but shooters and swimmers have no common relation.

Hence, option (2) is the correct answer.

a³ - b³ = (a - b)(a² + ab + b²)

(2m)³ - n³ = (2m - n)(4m² + 2mn + n²)

The correct answer is Xylem.

Important Points

• Xylem is one of the two types of transport tissue in vascular plants.
• The basic function of the xylem is to transport water from roots to stems and leaves, it also transports nutrients.
• The word xylem is derived from the Greek word xylon meaning wood.

Additional Information

Given:

35% of x = 140

Calculation:

35% of x = 140

⇒ 35/100 × x = 140 

⇒ x = 140 × 100/35

∴ x = 400

The correct answer is Indira Gandhi.

• 'Garibi hatao' was the slogan of Indira Gandhi.

Important Points

• Garibi Hatao meaning Remove Poverty was the theme and slogan of Indira Gandhi's 1971 election campaign.
• It was a part of the five-year plan.
• The slogan and the proposed anti-poverty programs were designed to reach out directly to the poor and marginalized bypassing the dominant rural castes.

Additional Information

The correct answer is 10 degrees.

• The Rate constant of a reaction doubles with a 10 degrees rise in temperature.

Key Points

• ​The rate constant is defined as the proportionality constant which explains the relationship between the molar concentration of reactants and the rate of a chemical reaction.
• As you increase the temperature the rate of reaction increases. As a rough approximation, for many reactions happening at around room temperature, the rate of reaction doubles for every 10°C rises in temperature.
• This is due to an increase in the number of particles that have the minimum energy required.

Additional Information

• The rate constant is denoted by 'K'.
• The reaction rate constant depends on temperature.
• Increasing the temperature of a reaction generally speeds up the process (increases the rate) because the rate constant increases according to the Arrhenius Equation.
• As T increases, the value of the exponential part of the equation becomes less negative thus increasing the value of k.
• (Increasing the temperature increases the rate constant.) If the temperature is lowered then T_{2  < T₁} and the right side of the equation is negative. Thus k_{2  < k_{1 . (Decreasing the temperature decreases the rate constant.)}}

The correct answer is the Philippines.

• The Philippines is the headquarters of the Asian Development Bank (ADB).​

Key Points

• Asian Development Bank(ADB) is a regional development bank.
• It has 68 members for now.
• ADB resembles closely with World Bank, it has a similar voting system where votes are distributed in proportion to members' capital subscriptions.
• The Asian Development Bank is a regional development bank established on 19 December 1966, which is headquartered in the Ortigas Center located in the city of Mandaluyong, Metro Manila, Philippines.
• The company also maintains 31 field offices around the world to promote social and economic development in Asia.
• The current President of the Asian Development Bank (ADB) is Masato Kanda, who assumed office on February 24, 2025.

Additional Information

The correct answer is Manipur.

• The Famous 'Sangai Festival' is an annual cultural festival organized by Manipur state of North-East India.

​

Key Points 

• Sangai festival is an annual cultural festival organized by the Manipur Tourism Department every year from 21 to 30 November.
• The festival is named after the state animal 'Sangai' the brown antlered deer.
• Many folk dance performances like Bamboo dance, Maibi dance are performed.
• 'Ras Leela' is an important form of dance performance at the festival.

Additional Information

Important Points

All the major festivals celebrated in India:

Given:

A sphere with radius = r 

Formula used:

The volume of a sphere = 4/3πr³

Calculation:

Radius of new sphere = 2r 

∴ The required ratio; 

Volume of new sphere/Volume of original sphere = 4/3π(2r)3/ 4/3πr3

⇒ 8r³/r3 = 8 : 1

 Important Points

The ratio of the volume of two sphere is always the ratio of the cubes of their respective radii.

Given:

72 - 52 + 32 ÷ 2 × 32 ÷ 8

Calculation:

72 - 52 + 32 ÷ 2 × 32 ÷ 8

⇒ 72 - 52 + 32/2 × 32/8

⇒ 72 - 52 + 16 × 4 

⇒ 20 + 64 = 84 

∴ The required result = 84

The correct answer is 1974.

• **George Fernandes led the railway strike in 1974.**​

Key Points

• George Mathew Fernandes was an Indian trade unionist, statesman, Journalist.
• He was born on 3 June 1930.
• He was a former member of the Rajya Sabha and Lok Sabha.
• All India Railway strike of 1974 was the most notable strike organized by Fernandes when he was the president of All India Railwaymen's Federation.

 Additional Information

Important Points

All the Railway Zones Headquarters of India:

Given:

Present population of a town = 50000

Increasing rate of the population per year = 4%

Calculation:

Population of the town at the end of one year = 50000 + 50000 × 4/100 = 52000

Population of the town at the end of two years = 52000 + 52000 × 4/100 = 54080

∴ The required population = 54080

Alternate MethodEffective rate of increase in population: a + a + a × a/100

⇒ 4 + 4 + 4 × 4/100 = 8.16%

Total population after 2 years = 50000 × (100% + 8.16%)

⇒ 54080

Given:

Time taken by Amar Jeet Singh to do the work = 5 days 

Time taken by Amar Jeet Singh and his son to do the work = 3 days 

Formula used:

Total work = Efficiency × Time 

Calculation:

By LCM Method

Let the total work be the LCM of 5 and 3 as being the common multiple. 

Efficiency of the son = 5 - 3 = 2 units per day 

∴ No of days taken by the son to do the job = 15/2 = 7.5 or $7\frac{1}{2}$ days. 

Alternate MethodLet the total work be = 1 

One day work done by Amar Jeet Singh = 1/5 

One day work done by Amar Jeet Singh and his son = 1/3 

⇒ One day work done by the son = 1/3 - 1/5 

⇒ (5 - 3)/15 

⇒ 2/15 

∴ Time taken by the son to do the job = 1÷ 2/15

⇒ 15/2 = 7.5 days

Given: 111, 90, 71, 54, ?

Reason: The difference in odd numbers is decreasing as shown in the diagram:

Given: 

Five bells start tolling together and toll at intervals of 2, 4, 6, 8 10 seconds respectively. 

Concept:

LCM = Least Common Multiple

Calculation:

LCM can be found out by prime factorization

2 = 1 × 2 

4 = 22

6 = 2 × 3

8 = 23

10 = 2 × 5

LCM (2, 4, 6, 8, 10) = 23 × 3 × 5 = 120 

Bells toll together after every 120 seconds. 

Number of tolling the bells in 30 minutes = (30 minutes × 60 seconds)/120

⇒ 1800 seconds/ 120 = 15 

∴ Total number of times of the tolling of bells after they toll for the first time 

⇒ 15 + 1 = 16

Mistake Points

If two bells after 2 seconds and 5 seconds respectively and they start tolling at the same time.

Then, the first bell tolls after every 2, 4, 6 secs.....

⇒ The second bell tolls after every 5, 10, 15 secs

So, they toll together again after 10 seconds, which is the LCM. 

∴ They toll after 10 seconds, that is whenever the time is a common multiple of 2 and 5 both. 

Since the bells start tolling together, the first toll also needs to be counted, that is the number of times of tolling since the first time.

Given:

Radius of cylinder and cone = r 

Height of cylinder and cone = h 

Formulas used:

Volume of cylinder = πr²h 

Volume of cone = 1/3 × πr²h

Calculation:

∴ Volume of cylinder/Volume of Cone = πr2h/1/3 × πr2h

⇒ 3/1 = 3 : 1

The correct answer is Black soil.

• **Black soil covers most of the Deccan Plateau.**​

Key Points

• Black soils are mineral soils that have a black surface horizon, enriched with organic carbon that is at least 25 cm deep.
• Black soils are derivatives of trap Lava.
• Black soil covers most of the Deccan Plateau which includes parts of Maharashtra, Madhya Pradesh, Gujarat, Andhra Pradesh and some parts of Tamil Nadu.
• Black soils have high clay content.
• They have an iron-rich granular structure.
• They are poor in humus but highly moisture-retentive.

Additional Information

Important Points

All the soil Types present in the Indian States:

We have drawn the figure according to the information given in the question,

(Let the turning points as shown in the figure)

Hence, the railway station situated in south-west direction with respect to the planetarium.

The least possible Venn diagram is:

Conclusions:

I. All successful are graduates → False (as some successful can not be graduates as shown in the figure above, so it is possible but not definite)

II. All engineers are successful → True (as all engineers are graduates and all graduates are successful so, all engineers are successful too)

Hence, only II is the correct answer.

Additional Information

Given:

$0.4 +\frac{404}{1000}$

Calculation:

$0.4 +\frac{404}{1000}$ = 0.4 + 0.404

⇒ 0.804

∴ The required result = 0.804

Given:

Distance between two walls = 100 m 

Concept:

The longer stair will be AC as the corresponding side making the smaller angle is larger than that of making bigger angle. 

Calculation:

Let the height of each of the walls = h 

BC + CE = BE = 100 

⇒ CE = 100 - BC .......(1) 

In triangle ABC, AB/BC = tan 30° 

⇒ h/BC = 1/√3 

⇒ BC = √3h.......(2)

In triangle CDE, DE/CE = tan 60° 

⇒ h/(100 - BC) = √3 

h/(100 - √3h) = √3 

h = 100√3 - 3h

4h = 100√3 

h = 25√3 m  ......  (3) 

By (2) and (3)

BC = √3h = √3 × 25√3

⇒ BC = 75 m 

Again in triangle ABC, BC/AC = cos 30° 

⇒ 75/AC = √3/2 

⇒ 150 = √3 × AC 

⇒ AC = 150/√3

⇒ AC = 150/√3 ×√3/√3

∴ AC = 50√3 m 

Alternate MethodBy Ratio Method

3 + 1 = 4 = 100 m

$\Rightarrow 2√{3}= \frac{100}{4}\times 2√{3}$

AC = 50√3

The correct answer is 100.

• According to the Ancient Monuments and Archaeological Sites and Remains Act 1958, any structure, sculpture, inscription, etc., which are in existence for no less than 100 years is termed ancient.

​

Key Points 

• Ancient Monuments and Archaeological Sites and Remains Act 1958 is an Act to provide for the preservation of ancient and historical monuments and archaeological sites and the remains of national importance, for the regulation of the archaeological excavations, and the protection of cultures, carvings, and other like objects.
• According to the Act Ancient Monuments any structure, erection or monument, or any tumulus or place of interment or any cave. rock-sculpture, inscription, or monolith which is of historical, archaeological, or artistic interest and which has been in existence for not less than 100 years. These include
• Remains of the ancient monument.
• Site of the ancient monument.
• A portion of land adjoining the site of the ancient monument.
• The means of access to and convenient inspection of the ancient monument.

Additional Information About ASI (Archaeological Survey of India):

• The Archaeological Survey of India (ASI), under the Ministry of Culture, is the premier organization for the archaeological researches and protection of the cultural heritage of the nation.
• The main work of this organization is to Maintenance of ancient monuments and archaeological sites and remains of national importance are the prime concern of the ASI.
• Besides it regulate all archaeological activities in the country as per the provisions of the Ancient Monuments and Archaeological Sites and Remains Act, 1958. It also regulates Antiquities and Art Treasure Act, 1972.
• The Archaeological Survey of India (ASI) was formed in 1861 by a statute passed into law by Canning, with Alexander Cunningham as its first Archaeological Surveyor, to excavate and conserve India’s ancient built heritage.
• The current Director-General of ASI is Smt. Usha Sharma (As of Oct 2021).

The correct answer is Karnataka.

• Karnataka is the state that leads in the list of monuments of national importance in South India declared by the Archaeological Survey of India (ASI).
• With 506 monuments, Karnataka leads South India in the ASI list.
• There were 3,686 centrally protected monuments/sites under the ASI in the country; the number has now increased to 3,693.
• Uttar Pradesh (745 monuments/sites)
• Karnataka (506),
• and Tamil Nadu (413) has the highest number of **ASI-maintained sites.**​

Key Points 

• The Monuments of National Importance are designated by the Archaeological Survey of India (ASI).
• The Union government of India authorized used to maintain, promote and protect Monuments of National Importance.
• Archaeological Survey of India (ASI) is an Indian government agency that is responsible for archaeological research and conservation and preservation of cultural monuments in the country.
• It was founded in 1861 by Alexander Cunningham.
• It comes under the Ministry of Culture.

Additional Information

Important Points

• ​Link of List of Protected Monuments in India: https://www.india.gov.in/list-protected-monuments-various-states

The least possible Venn diagram is:

By checking options:

Conclusions:

(1) No teacher is a woman → False (it is possible as shown in the above diagram but not definite as some woman can be teacher is true as shown below)

(2) All teachers are women → False (it is possible but not definite as shown in the above diagram)

(3) All women are hardworking persons → False (it is possible but not definite as shown in the above diagram)

(4) Some women are hardworking persons → True (as most hardworking persons are woman)

Hence, option (4) is the correct answer.

Additional Information

The correct answer is Tamil Nadu and Andhra Pradesh.

Key Points

• The Coromandel Coast -
• This is the southeast coastal region of the Indian subcontinent.
• The Utkal plain in the north, the Bay of Bengal in the east, the Cauvery delta in the south, and the Eastern Ghats in the west cover.
• It covers an area of about 22,800 square kilometers.

Additional Information

• Coastal plains of India -
• From Gujarat to Mumbai Coast – Kathiawar Coast
• Coast from Mumbai to Goa – Konkan Coast
• From Goa to Kanyakumari – Malabar Coast

Given: ABC, EFG, IJK, OPQ, ?

The logic follows here is:

Hence, UVW is the correct answer.

Given:

$0.\overline{23}+0.\overline{2}$

Calculation: 

$0.\overline{23}+0.\overline{2}$ = 0.23232323...... + 0.22222222.......

⇒ 0.45454545.......

⇒ $0.\overline{45}$

∴ The required result = $0.\overline{45}$ = 0.454545....

The correct answer is International Day of Yoga.

Key Points

• On 11 December 2014, the United Nations General Assembly declared June 21 to be celebrated as International Day of Yoga or World Yoga Day.
• After this, from the year 2015, this day was celebrated as International Yoga Day all over the world.
• June 21 is the longest day of the year and the sun is on the earth for the longest time.

Additional Information

• International Education Day -
• The United Nations General Assembly declared this day as International Day of Education to commemorate the role of education.
• International Education Day was celebrated for the first time on 24 January 2019.
• International Health Day -
• Every year 7 April is celebrated as **World Health Day.**​
• International Babies Day -
• It is celebrate on 2^nd May.

The correct answer is Khan Abdul Ghaffar Khan.

Key Points

• Khan Abdul Ghaffar Khan was a great statesman of the Frontier Province and Balochistan.
• He participated in the freedom struggle of India and came to be known as 'frontier Gandhi' because of his work and dedication.

Additional Information

• Maulana Abul Kalam Azad -
• He was a writer and a senior leaderr of the Indian National Congress.  ​
• He is recognized by celebrating his birthday as National Education Day across India
• Badruddin Tyabji -
• He was an Indian activist and politician during the independence movement.
• He was the first Muslim president of the Indian National Congress.
• Mukhtar Ahmed Ansari -
• He was the leader of the Indian independence movement and the former president of the Muslim League.
• He was one of the founders of Jamia Millia Islamia University.

Given: Butterfly : Insect :: ?

The logic follows here is:

Butterfly is an Insect.

Similarly,

Ostrich is a Bird.

Hence, ostrich : bird is the correct answer.

Important Points(1) Mammal is not a Man.

(2) Rodent is not a Rat.

(3) Furniture is not a Chair.

The correct answer is Binary fission.

Key Points

• Binary fission is the process by which a single cell divides itself into 2 halves.
• Binary fission is an asexual reproduction wherein the body separates into two identical bodies.
• The word asexual describes a reproduction that occurs without involving sex cells (gametes).
• Binary fission is primarily observed in prokaryotes whereas a few single-celled eukaryotes also go through it.
• These are the basic steps involved in binary fission-
• Replication of DNA
• Growth of a Cell
• Segregation of DNA
• Splitting of Cells

Additional Information

• The different types of Binary fission:
• Simple Binary fission
• Longitudinal Binary fission
• Oblique Binary fission
• Transverse Binary fission

The correct answer is 3.

Key Points

• Ozone molecule contains three atoms of oxygen and it is denoted chemically as O3. 
• It is naturally present in the atmosphere.
• It is explosive in concentrated amounts and can react with many chemical compounds.
• Most ozone (about 90%) is found in the stratosphere, a region that begins about 10-16 kilometers (6-10 miles) above Earth’s surface.
• Further, most ozone resides in the stratosphere in “ozone layer.”

Additional Information

• The ozone layer covers the entire planet and protects life on earth by absorbing harmful ultraviolet-B (UV-B) radiation from the sun.
• When inhaled, ozone can damage the lungs. Relatively low amounts can cause chest pain, coughing, shortness of breath and throat irritation.
• It damages vegetation and ecosystems by inhibiting the ability of plants to open the microscopic pores on their leaves to breathe.
• It also interferes with the photosynthesis process by reducing the amount of carbon dioxide the plants can process and release as oxygen.

The correct answer is Kingdom of Awadh.

Key Points

• The Kingdom of Awadh was called "a cherry" by Governor-General Lord Dalhousie.
• To be precise, in 1851, Governor-General Lord Dalhousie described the kingdom of Oudh as "a cherry that will one day fall in our mouths".
• Five years later, in 1856, the state was formally annexed to the British Empire.
• A subsidiary alliance had already been imposed on Oudh in 1801.
• The Nawab had to disband its military power and according to the alliance, the British had to allow their troops to be stationed within the state.
• The Nawabs became increasingly dependent on the British for maintaining law and order within the state.
• The British felt that the soil of Awadh was good for the production of indigo and cotton.
• The acquisition of Awadh in 1856 was expected to complete the process of territorial merger.

The correct answer is Camels are used for transportation in deserts.

Key Points

• 'A camel is called the ship of the desert' is drawn from the assumption because camels are used for transportation in deserts.
• Dromedary camels can carry over two hundred kilograms on their backs.
• Camels can walk four kilometres per hour through the hot desert.
• They can survive up to 15 days without water.
• Camel humps can contain up to nearly 80 pounds of fatty tissue.
• They store fat in their humps and this fat helps them to go on without water.
• Since deserts are water-scarce places and the loose soil restricts any form of transport, the camel is considered the ship of the desert because it helps people to carry their stuff from one corner to another.

Given:

Difference between selling prices = 1800 - 1750 = 4% gain on Cost Price 

Concept:

Profit is calculated on cost price, where Profit = Selling price - Cost price

Calculation:

SP1 - SP2 = 4% of  CP 

⇒ 1800 - 1750 = 4% of CP 

⇒ 1% of CP = 50/4 

⇒ 100% of CP = 50/4 × 100 

∴ 100% of CP = Rs.1250

The cost price of the table is Rs.1250.

Given:

Area of a rhombus = 96 cm2

One diagonal = 16 cm

Formulas used:

Concept: The diagonals of a rhombus are perpendicular bisectors.

Area of a rhombus = 1/2 × Diagonal1 × Diagonal2 

Side of rhombus = √[(D1/2)2 + (D2/2)2]

⇒ (1/2) × √[(D1)2 + (D2)2]

Calculation:

According to the question

96 = 1/2 × 16 × Diagonal2 

⇒ Diagonal2 = 12

Now, Side of rhombus = 1/2 × √[16² + 12²]

∴ 1/2 × 20 = 10 cm

Given:

A - Amount, P - Principal, SI - Simple Interest

Formulas used:

Simple interest is calculated on Principal sum. 

Simple Interest =  Principal × Rate/100 × Time

Amount = Principal + Simple Interest 

∴ A = P + SI

The correct answer is Tamil Nadu.

Key Points

• The Pongal Bird Count is an initiative of Tamil Nadu.
• It is an annual bird monitoring program where people are asked to observe birds for a minimum of 15 minutes and record the sightings.
• The sightings, listings, and documentation are uploaded on an online platform (ebird).
• The ebird.org is an online platform for bird watchers to register their observations in a systematic manner.
• The event is coordinated by Tamil Birders Network and Bird Count India.
• The participants can choose any site of their interest for the count.
• They can either travel to a nearby forest or lake or even do a count from their balcony or terrace.
• Through PBC, one can assess the growth and distribution of bird species, migratory and behavior patterns, apart from spreading awareness towards the conservation of avian species.

Additional Information

• State Bird of Madhya Pradesh- Indian paradise flycatcher
• State Bird of Rajasthan- Great Indian bustard
• State Bird of Andhra Pradesh- Indian roller
• State Bird of Tamil Nadu- Common emerald dove

The correct answer is Joint Inspection Unit.

Key Points

• The Joint Inspection Unit is the external oversight body of the United Nations system.
• It has a mandate to conduct evaluations, inspections, and investigations system-wide.
• The primary function is to look at cross-cutting issues and to act as an agent for change across the United Nations system.
• It works to secure management and administrative efficiency and to promote greater coordination both between UN agencies and with other internal and external oversight bodies.
• The Unit operates with respect to the legislative organs and the secretariats of those specialized agencies and other international organizations, within the United Nations system, that have accepted its Statute.
• These entities are often referred to as the JIU participating organizations (PO).
• JIU has a total of 28 participating organizations that play a crucial role in how the Unit functions.

Additional Information

• Inspector Jorge Flores Callejas (Honduras)- Chair of the Unit.
• Inspector Gönke Roscher (Germany)- Vice- Chair of the Unit.

The correct answer is Aravali.

Key Points

• Aravali hills have an Indian desert to its western margin.
• Aravalli Range is in Northern-Western India. It passes through Delhi, Haryana, Rajasthan, and Gujarat.
• The Indian desert (Thar desert) lies towards the western margins of the Aravali Hills.
• It has a sandy plain covered with sand dunes. It has an arid climate with low vegetation cover.

Important Points

• Please note that the Aravalli Range is the oldest range of Fold Mountains in India.
• The range is divided into two sections:
• the Sambhar-Sirohi range
• the Sambhar-Khetri range
• Guru Peak on Mount Abu is the highest peak in the Aravalli Range and it is located in the Sambhar-Sirohi range.

Additional Information

• Kanchenjunga is the third highest mountain in the world with an elevation of 8,586 meters.
• The Palani Hills are a mountain range in the southern Indian states of Kerala and Tamil Nadu.
• Mount Dhupgarh is the highest point in the Mahadeo Hills, Madhya Pradesh

Follow BODMAS rule to solve this question, as per the order given below, 

Calculation:

$\lbrace{\frac{\left(\frac{7}{2}÷ \frac{5}{2} × \frac{3}{2}\right)}{\left(\frac{7}{2}÷ \left( \frac{5}{2} × \frac{3}{2}\right)\right)}\rbrace}÷ 5.25$

⇒ {(7/2 × 2/5 × 3/2)/(7/2 × 4/15)} ÷ 5.25

⇒ {(21/10)/(14/15)} ÷ 5.25

⇒ {21/10 × 15/14} ÷ 5.25

⇒ {9/4} ÷ 5.25

⇒ 9/4 × 1/5.25

⇒ 9/4 × 100/525

⇒ 3/7

∴ The required result = 3/7

The correct answer is Unique IP Address.

Key Points

• Unique IP Address is needed to access the Internet.
• A Unique IP (Internet Protocol) is a unique identifier given to every machine in a network.
• It serves two primary functions-
• It is used as an interface identification for a network of machines.
• It provides a location of that machine, just as a postal address of the home.

Important Points

• When the Internet Protocol was originally designed, an IP consisted of a 32-bit number and the system was known as Internet Protocol Version 4.
• Internet Protocol Version 6 is a newer version of IPV4. It uses 128 bits for the IP address and supports more levels of addressing hierarchy.
• Please do not get confused with the option 'email'. The internet is required to access email, not the other way round.
• Whereas, Unique IP Address is required to access the internet.

The correct answer is 43^rd.

• India ranked 43^rd in the list of most competitive economies in the world in the IMD World Competitiveness Rankings 2019.
• This was an improvement of one place from the 2018 ranking in which it had finished 44^th.
• The IMD World Competitiveness Ranking was established in 1989. It includes 235 indicators from each of the 63 ranked economies.
• The report considers some important figures including unemployment, GDP and government spending on health and education.

Key Points

• The information required for ranking is broadly divided into four categories:-
• Economic performance
• Infrastructure
• Government efficiency
• Business efficiency

Additional Information

• Innovation, digitalization, welfare benefits, and social cohesion are key to economic performance in the 2021 rankings, topped with Switzerland (1^st), Sweden (2^nd), Denmark (3^rd), the Netherlands (4^th), and Singapore (5^th).
• Please note that India has maintained the 43^rd rank in the IMD World Competitiveness Index 2021.

Calculation:

Sum of the number of laptops and mobiles sold = 500 + 600 = 1100 

Sum of the number of Radio, Tvs and watches sold = 100 + 300 + 200 = 600 

⇒ The difference in the no of laptops and mobiles sold in comparison to the no of other products = 1100 - 600 = 500

∴ The required result = 500

Given:

x ∝ y 

⇒ x = ky   [k is a constant]

Calculation:

When x = 10; y = 15 

⇒ 10 = 15k 

⇒ k = 2/3 

Option 1: For x = 15; y = 20

⇒ 15 = 20k 

⇒ k = 3/4 ≠ 2/3 

Option 2: For x = 8; y = 12

⇒ 8 = 12k 

⇒ k = 2/3 

Option 3: For x = 25; y = 37.5

⇒ 25 = 37.5k 

⇒ k = 25/37.5 = 2/3 

Option 4: For x = 2; y = 3

⇒ 2 = 3k 

⇒ k = 2/3 

∴ All except option 1, satisfy the value of k. So 15, 20 cannot be the corresponding values of x and y.

Given:

[{(2)2}2]2

Formula used:

(aⁿ)^m = a^nm

Calculation:

[{(2)2}2]2

⇒ [{2^2×2}]²

⇒ [2⁴]²

⇒ 2^4×2

⇒ 2⁸

∴ [{(2)2}2]2 = 28

The correct answer is Brahmaputra.

Key Points

• India's largest river island, Majuli is located in the Brahmaputra, Assam.
• It is also called the cultural capital of Assam.
• The island was formed due to the diversion of the Brahmaputra River and its tributaries (mainly a tributary of the Lohit).
• In 2016, it became the first island to become a district in India.
• The island is mainly inhabited by tribals.  The tribal communities include the Misings, the Deoris and the Sonowal Kacharis.
• The main festival in Majuli city is called Raas.

Additional Information

• Brahmaputra river originates under the name of Siang or Dihang, from the Chemayungdung glacier of the Kailash range near the Mansarovar lake.
• Indus river originates in the Tibetan Plateau near Lake Manasarovar.
• Narmada river originates in the Amarkantak Plateau of the Maikala range in the district Shahdol of Madhya Pradesh.
• Beas river originates in the Rohtang Pass in the western (Punjab) Himalayas.

Logic: Sum of Positional Values.

Hence, 126 is the correct answer.

The correct answer is State Bank of India.

• State Bank of India is the largest public sector bank in India.
• It is the largest bank in India, with a 23% market share by assets and 25% of the total loan and deposit market.

Key Points

• History of establishment
• The State Bank of India originated in the first decade of the nineteenth century with the establishment of the Bank of Calcutta in Calcutta on 2 June 1806.
• Three years later, its name was changed to Bank of Bengal.
• The Bank of Bombay (15 April 1840) and the Bank of Madras (1 July 1843) followed the Bank of Bengal.
• These three banks were amalgamated on 27 January 1921 as Imperial Bank of India.
• The Government of India nationalized the Imperial Bank of India in the year 1955, in which the Reserve Bank of India took a 60% stake and the name was changed to State Bank of India.
• SBI's share of the Reserve Bank was transferred to the government in 2007.​

Additional Information 

• Chairmen of Banks:
• Bank Of India - Atanu Kumar Das
• State Bank Of India - Dinesh Kumar Khara
• Bank Of Baroda - Hasmukh Adhia
• Central Bank Of India - Matam Venkata Rao

The correct answer is ​1^st July 2017.

• The Goods and Services Tax (GST) was implemented on 1 July 2017.
• To implement GST, the Constitutional (122^nd Amendment) Bill (abbreviated CAB) was introduced in the Parliament and passed by Rajya Sabha on 03 August 2016 and Lok Sabha on 08 August 2016.

Key Points