RRB NTPC CBT-I Official Paper (Held On: 18 Jan 2021 Shift 2) (Previous Year Paper)

The correct dictionary order is as follows:

• The first three letters are common to each word: P, R, A.
• So, we will compare the words from the fourth letter.

i) Practical

ii) Practise

iii) Praise

iv) Prank

v) Prayer

Hence, 'Practical → Practise → Praise → Prank → Prayer' is the correct answer.

Given:

A can complete a task in the same time in which B and C together can complete it.

A and B together can complete it in 10 days

C alone can complete it in 60 days

Concept used:

Total work = Work done each day (Efficiency) × Total time taken (in days)

Calculation:

Let the entire work be the LCM of 10 and 60.

Hence, total work = LCM (10, 60) = 60 units

Efficiency of C = 60 ÷ 60 = 1 units

Let the efficiencies of A and B are P units and Q units a day respectively.

B and C together do each day = (Q + 1) units of work

According to the question,

60 ÷ P = 60 ÷ (Q + 1)

⇒ P = Q + 1      ....(1)

(P + Q) × 10 = 60

⇒ (P + Q) = 6

⇒ Q + 1 +  Q = 6

⇒ Q = 2.5

Hence, time taken by B to complete the work alone = 60 ÷ 2.5 = 24 days

∴ B will take 24 days to complete the work alone.

Given:

LCM and HCF of two numbers are 70 and 7 respectively

One of the numbers is 35

Concept used:

LCM × HCF = The Product of two numbers

Calculation:

The second number = ${{70 × 7} \over 35}$ = 14

∴ The second number will be 14.

The correct answer is November 2013.

Important Points

• NOTA option was first used in November 2013.
• In 2013, SC passed a landmark judgement, approving the ‘Right to Negative Vote’ by exercising the NOTA option in EVMs (Electronic Voting Machines) and ballots.
• It is also known as "against all" or a "scratch" vote, is a ballot option in some jurisdictions or organizations, designed to allow the voter to indicate disapproval of all of the candidates in a voting system.
• It is based on the principle that consent requires the ability to withhold consent in an election, just as they can by voting no on ballot questions.

Additional Information

• The first time it was used was during the Assembly elections held in Rajasthan, Madhya Pradesh, Chhattisgarh, Mizoram and Delhi.
• The option of NOTA in Rajya Sabha polls was introduced by the EC in 2014.

The correct answer is Rafael Nadal Parera.

Key Points

• Rafael "Rafa" Nadal Parera is a Spanish professional tennis player.
• He is also known as King of Clay.
• The Royal Spanish Tennis Federation (RFET), the national governing body for the sport in Spain, decided to celebrate Rafael Nadal's birthday as 'National Tennis Day'.
• The federation approved the proposal to celebrate Rafael Nadal's birthday - 3 June - as 'National Tennis Day' in his home country.

Additional Information

• Roy Stanley Emerson is an Australian former tennis player who won 12 Grand Slam singles titles and 16 Grand Slam doubles titles.
• Roger Federer is a Swiss professional tennis player. He has been ranked world No. 1 by the Association of Tennis Professionals for 310 weeks, including a record 237 consecutive weeks.

Given:

θ = 45°

Concept used:

Calculation: 

$\frac{{\sin ,\theta , + ,\cos ,\theta }}{{\sin ,\theta , - ,\cos ,\theta }}$

⇒ ${{(Sin\ 45° + Cos \ 45°)} \over {(Sin\ 45° - Cos \ 45°)} }$

⇒ ${({1 \over \sqrt2} + {1 \over \sqrt2} )} \over {({1 \over \sqrt2} - {1 \over \sqrt2} )}$

⇒ $∞$

∴ The required answer is $∞$.

The correct answer is Requires advanced technological skills.

Key Points

• Requiring advanced technological skills is NOT true for the cottage industry.
• A cottage industry is a small-scale, decentralised manufacturing operation that is usually run from a house rather than a purpose-built facility.
• The amount of capital required to start a cottage industry, as well as the number of people employed, are used to characterise it.
• They frequently concentrate on the production of labour-intensive commodities, but they are at a major disadvantage when competing with factory-based mass producers.
• The cottage industry is defined as tiny, mostly family-run businesses whose profits are primarily utilised to support the household's daily requirements. As a result, it is also referred to as a small-scale industry.
• Many successful instances of small-scale companies may be seen in Japan, Germany, Italy, and other developed countries, with India displaying one of the oldest and largest expansions of such businesses.

Given:

Given numbers are X and (X + 1)

Concept used:

Co-prime numbers are a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1.

LCM is the smallest common multiple of two or more numbers.

Calculation:

Two consecutive positive integers are always co-primes. 

Hence, their LCM should be their product only.

Thus, LCM (X, X + 1) = X(X + 1)

∴ The L.C.M. of any two consecutive positive integers x and x + 1 is (x) (x + 1)

The correct answer is Leishmania.

Key Points

• Kala-Azar is a slow progressing indigenous disease caused by a protozoan parasite of the genus Leishmania.
• The parasite primarily infects the reticuloendothelial system and may be found in abundance in bone marrow, spleen, and liver.
• There is only one sand fly vector of Kala-Azar in India i.e. Phlebotomus argentipes.
• Sandflies are small insects, about one-fourth of the size of a mosquito.
• The symptoms of Kala-Azar are-
• Loss of appetite, pallor, and weight loss with progressive emaciation, weakness, and anaemia which develops rapidly.

Additional Information

• Liver fluke belongs to the phylum ''Platyhelminthes''.
• Tapeworm belongs to class-Platyhelminthes of Kingdom-Animalia.
• Ascaris is a genus of parasitic nematode worms known as the "small intestinal roundworms," a kind of parasitic worm.

Given: 

4cos$\left( {\frac{π }{6}, - ,\alpha } \right)$ sin$\left( {\frac{π }{3}, - ,\alpha } \right)$

Concept used:

Cos (θ - α) = (Cos θ Cosα + Sin θ Sinα)

Sin (θ - α) = (Sinθ Cosα - Cosθ Sinα)

(A + B) (A - B) = A² - B²

Sin²θ + Cos²θ = 1

π = 180° 

Calculation:

4cos$\left( {\frac{π }{6}, - ,α } \right)$ sin$\left( {\frac{π }{3}, - ,α } \right)$

⇒ 4 × Cos (30° - α) Sin (60° - α)

⇒ 4 × (Cos 30° Cosα + Sin 30° Sinα) × (Sin60° Cosα - Cos60° Sinα)

⇒ 4 × (${\sqrt 3} \over 2$ Cosα + $1 \over 2$ Sinα) × (${\sqrt 3} \over 2$ Cosα - $1 \over 2$ Sinα)

⇒ (${\sqrt 3}$ Cosα + Sinα) × (${\sqrt 3}$ Cosα -  Sinα)

⇒ (${\sqrt 3}$ Cosα)² - Sin²α

⇒ 3Cos²α - Sin2α

⇒ 3 × (1 - Sin2α) - Sin2α

⇒ 3 - 4sin2α

∴ The required answer is 3 - 4sin2α.

The correct answer is Siachin glacier.

• The Siachen Glacier is located in the Eastern Karakoram range in the Himalayas, just northeast of Point NJ9842 where the Line of Control between India and Pakistan ends.
• The Siachen Glacier is the world's highest battlefield.

Additional Information

• It is the Second-Longest glacier in the World's Non-Polar areas.
• Fedchenko Glacier, located in Yazgulem Range, Tajikistan is the Longest glacier in the World's Non-Polar areas.
• The Siachen Glacier lies immediately south of the great drainage divide that separates the Eurasian Plate from the Indian subcontinent in the extensively glaciated portion of the Karakoram sometimes called the "Third Pole".
• The Siachen Glacier is part of Ladakh and has now been converted into a Union Territory.
• The entire Siachen Glacier has been under the administration of India since 1984 (Operation Meghdoot).

The correct answer is Planning Commission of India.

Key Points

• NITI Aayog (abbreviation for National Institution for Transforming India) was established in 2015 to replace the Planning Commission which followed a top-down model.
• It is a policy think tank of the Government of India, established with the aim to achieve sustainable development goals with cooperative federalism by fostering the involvement of State Governments of India in the economic policy-making process using a bottom-up approach.

Additional Information

• The Planning Commission was set up by a Resolution of the Government of India in March 1950 in pursuance of declared objectives of the Government to promote a rapid rise in the standard of living of the people by efficient exploitation of the resources of the country, increasing production and offering opportunities to all for employment in the service of the community.
• The Planning Commission was charged with the responsibility of making assessments of all resources of the country, augmenting deficient resources, formulating plans for the most effective and balanced utilization of resources, and determining priorities.
• The Prime Minister is the Chairman of the Planning Commission, which works under the overall guidance of the National Development Council.
• Jawaharlal Nehru was the first Chairman of the Planning Commission.

Given:

$\frac{{1, + ,\sec ,θ , + ,\tan ,θ }}{{1, + ,\sec ,θ , - ,\tan ,θ }}$

Concept used:

Sin2θ = 2Sinθ Cosθ 

Cos2θ = Cos²θ - Sin²θ 

Sin²θ + Cos²θ = 1

tanθ =  ${Sin\theta \over Cos\theta}$

Calculation:

$\frac{{1, + ,\sec ,θ , + ,\tan ,θ }}{{1, + ,\sec ,θ , - ,\tan ,θ }}$

⇒ ${1 + {1 \over Cos\ θ} + {Sin\ θ \over Cos\ θ }} \over {{1 + {1 \over Cos\ θ} - {Sin\ θ \over Cos\ θ }}}$

⇒ ${Cos\ θ\ +\ 1\ +\ Sin\ θ} \over {{Cos\ θ\ +\ 1\ - Sin\ θ}}$

⇒ ${(Cos^2 {θ \over 2} -Sin^2{θ \over 2}) +\ (Sin^2{θ \over 2} + Cos^2{θ \over 2})\ +\ 2 Sin{θ \over 2}Cos{θ \over 2}} \over{(Cos^2 {θ \over 2} -Sin^2{θ \over 2}) +\ (Sin^2{θ \over 2} + Cos^2{θ \over 2})\ -\ 2 Sin{θ \over 2}Cos{θ \over 2}}$

⇒ ${(2Cos^2 {θ \over 2} + \ 2 Sin{θ \over 2}Cos{θ \over 2}}) \over({2Cos^2\theta - 2 Sin{θ \over 2}Cos{θ \over 2}})$

⇒ ${2Cos^2{θ \over 2}} \times (1 + tan {θ \over 2}) \over {2Cos^2{θ \over 2}} \times (1 - tan {θ \over 2})$

⇒ $\frac{{1, + ,\tan \frac{θ }{2}}}{{1, - ,\tan \frac{θ }{2}}}$

∴ The required answer is $\frac{{1, + ,\tan \frac{θ }{2}}}{{1, - ,\tan \frac{θ }{2}}}$

The correct answer is Czech Republic.

Important Points

• The Czech Republic became the first post-communist country in the EU to legalize same-sex marriage.
• On 23rd May 2015, the Republic of Ireland became the first-ever country to constitutionally legalize same-sex marriage in the world.
• On 24 May 2019, Taiwan became the first Asian country to legalize same-sex marriage.
• The constitutional court ruled that same-sex couples also have the right to legally marry as per the constitutional right to freedom and equality.
• Article 377 of the Indian constitution legalized the status of Same-Sex marriage and the legal status of the LGBT community.

The correct Venn diagram is:

i) All Days are present in Week.

ii) All Weeks are present in Year

Hence, the figure A is the correct answer.

The logic followed here is:

So, the next term in the given series is NIH.

Hence, the correct answer is "NIH".

The logic followed here is:

• All carrots are Vegetables
• All Potato are Vegetables.

Therefore the least possible Venn Diagram is as follows:

Hence, the answer figure 2 is the correct answer.

The logic followed here is:

Similarly,

? = WMIRG

Hence, 'SIENC' is the correct answer.

The correct answer is Harappa.

Key Points

• Harappa is the earliest city discovered in India was Harappa.
• It was excavated in 1921 in the Punjab province of British India.
• After the excavation of Harappa as the first site, the Indus Valley Civilisation is also known as Harappan Civilisation hereafter.
• It was excavated by Daya Ram Sahni in 1921.
• It lies on the bank of river Ravi.
• It is in the Sahiwal District of Punjab (Pakistan).​

Additional Information

Indus Valley Civilization -

• It was one of the major civilizations of the ancient river valley civilizations of the world.
• It is also known as Harappan Civilization and Indus-Saraswati Civilization.
• It developed on the banks of the Indus and Ghaggar/Hakra (ancient Saraswati).
• Mohenjodaro, Kalibanga, Lothal, Dholavira, Rakhigarhi, and Harappa were its main centres.

The correct answer is Carvaan.

Important Points

• A Voice Assistant is an intelligent personal assistant or a connected speaker, is a new type of product marketed by Apple, Amazon and Google and is based on natural language speech recognition.
• Cortana is a virtual assistant developed by Microsoft, which uses the Bing search engine to perform tasks such as setting reminders and answering questions for the user.
• Alexa is a voice-controlled virtual assistant.
• She can play audio, control your smart home, answer questions and engage your favourite services to keep you organized, informed, safe, connected and entertained.
• Siri is an intelligent assistant that offers a faster, easier way to get things done on your Apple devices.
• Caravaan is a music player.
• Hence Carvaan is the correct answer.

The logic followed here is:

Bhopal, Gandhinagar and Chandigarh are capital of states Madhya Pradesh, Gujarat and Punjab/ Haryana respectively.

Whereas,

Kanpur is in Uttar Pradesh but not the capital of Uttar Pradesh.

Hence**, 'Kanpur'** is the odd one.

Concept used:

Calculation:

$\left( {\frac{{32}}{5}} \right)$ × 92 + $\left( {\frac{{3}}{5}} \right)$ × 2

⇒ $1 \over 5$ (32 × 92 + 3 × 2)

⇒ $1 \over 5$ × 2950

⇒ 590

∴ The required answer is 590.

Concept used:

A³ - B³ = (A - B) (A² + AB + B²)

A² - B² = (A + B) (A - B)

Middle Term Factor

Calculation:

$\rm\frac{{\left( {{x^3}, - ,{y^3}} \right)\left( {{x^2}, + ,5x, + ,6} \right)\left( {{x^4}, - ,16} \right)}}{{\left( {x, - ,y} \right)\left( {x, + ,3} \right)\left( {x, - ,2} \right)\left( {{x^2}, + ,4} \right)}}$

⇒ ${(x\ -\ y) (x^2\ +\ y^2\ +\ xy)\ (x\ +\ 2)(x\ +\ 3)\ (x^2\ -\ 4)\ (x^2\ +\ 4)} \over {(x\ -\ y)\ (x\ +\ 3)\ (x\ -\ 2)\ (x^2\ +\ 4)}$

⇒ ${(x\ -\ y) (x^2\ +\ y^2\ +\ xy)\ (x\ +\ 2)(x\ +\ 3)\ (x\ -\ 2)\ (x\ +\ 2)\ (x^2\ +\ 4)} \over {(x\ -\ y)\ (x\ +\ 3)\ (x\ -\ 2)\ (x^2\ +\ 4)}$

⇒ (x2 + y2 + xy) (x + 2)2

∴ The required answer is (x2 + y2 + xy) (x + 2)2.

The correct answer is Barter. 

Key Points

• In the Barter system, the direct exchange of goods or services is done without the use of tokens, credit or money.
• Trading goods and services without the use of money are known as a Barter system.

Additional Information

• Balance of trade or BoT is a financial statement that captures the nation's import and export of commodities with the rest of the world.
• Commodity money was used immediately after the Barter system.
• A type of money in which Physical Goods are used instead of money. Some of the examples are alcohol, cocoa beans, copper, gold, silver, salt, seashells, tea, and tobacco

Given:

Base = 44 cm

Height = 22 cm

Concept used:

Area of a parallelogram = Base × Height

Calculation:

The area of the parallelogram = 44 × 22 = 968 cm²

∴ The area of the parallelogram will be 968 cm².

Given:

The man travels at a speed of 15 km/h instead of travelling at a speed of 9 km/h, he travels 30 km more.

Concept used:

Time × Speed = Distance

Calculation:

Let's suppose he travelled for T hours.

According to the question, (15 - 9) = 6 kmph extra speed speed made him cover 30 km more distance.

Hence

6 × T = 30

⇒ T = 5

Thus, the actual distance traveled by him = 9 × 5 = 45 km

∴ The actual distance travelled by him is 45 km.

The correct answer is Blood helps in sensory inputs.

Important Points

• Bone is the main connective tissue that provides the structural frame of the body.
• Bones support and protect softer tissues and organs.
• Blood is a fluid connective tissue containing plasma, red blood cells (RBC), white blood cells (WBC) and platelets.
• Blood protects the body from disease.
• It is the main circulating fluid that helps in the transport of various substances.
• Blood carries oxygen from the lungs to the other parts of the body.
• Blood carries carbon dioxide from the body cells to the lungs.
• But Blood does not help with sensory inputs.
• So Statement 3 is the correct answer.

Given:

$\frac{8}{5}$ = 1.60

$\frac{7}{4}$ = 1.75

Calculation:

Given options are

$\frac{1}{4}$ = 0.25

$\frac{8}{3}$ ≈ 2.67

$\frac{2}{7}$ ≈ 0.2857

$\frac{19}{11}$ ≈ 1.73

Hence, only $\frac{19}{11}$ fits.

∴ Among the following fractions, $\frac{19}{11}$ is greater than $\frac{8}{5}$ and less than $\frac{7}{4}$.

The correct answer is TISCO.

Key Points

• TISCO is the first large-scale iron and steel plant in India.
• Tata Iron and Steel Company or TISCO is the first iron and steel manufacturing plant in India which was founded and established by Jamsetji Tata and Dorabji Tata respectively on 26th August 1907 at Jamshedpur, Jharkhand.
• The industry is located on the banks of the Subarnarekha and Kharkai rivers.
• These rivers help in the industrial uses and water treatment for the industry.

Additional Information

The logic followed here is:

Numbers 49, 84 and 63 are multiples of 7 whereas 50 is not a multiple of 7.

Option 1 → 49 ÷ 7 = 7

Option 2 → 84 ÷ 7 = 12

Option 3 → 50 ÷ 7 = 7.14

Option 4 → 63 ÷ 7 = 9

Hence, 50 is different from the rest.

Given: 

The cost of 1 kg rice is Rs. 45

Calculation:

the cost of 15.2 kg rice = 15.2 × 45 = Rs. 684

∴ The cost of 15.2 kg rice is Rs. 684.

The correct answer is 1948.

Key Points

• The General Agreement on Tariffs and Trade came into existence in the year 1948.
• The World Trade Organization (WTO)  was earlier known as GATT (General Agreement on Tariffs and Trade )
• The General Agreement on Tariffs and Trade (GATT) was signed by 23 countries in October 1947, after World War II, and became law on Jan. 1, 1948.

Additional Information

• The GATT’s purpose was to make international trade easier.
• In 1995 the GATT was absorbed into the World Trade Organization (WTO), which came into effect on  1 January 1955 which extended it.
• The council chair is Swedish Ambassador Mikael Anzén.
• The World Trade Organization (WTO) is the only global international organization dealing with the rules of trade between nations.
• The goal is to help producers of goods and services, exporters, and importers conduct their business.
• India has been a WTO member since 1 January 1995 and a member of GATT since 8 July 1948.

Concept used:

A² - B² = (A + B) (A - B)

Calculation:

$\frac{{{{\left( {2.7} \right)}^2}, - ,{{\left( {0.8} \right)}^2}}}{{2.7, - ,0.8}}$

⇒ ${(2.7\ +\ 0.8)\ (2.7\ -\ 0.8)} \over {(2.7\ -\ 0.8)}$

⇒ ${(2.7\ +\ 0.8)\ (2.7\ -\ 0.8)} \over {(2.7\ -\ 0.8)}$

⇒ 3.5

∴ The required answer is 3.5.

Given : 11 - 2 × 4 ÷ 12 + 4

On replacing the codes: 11 × 2 - 4 + 12 ÷ 4

→ 11 × 2 - 4 + 12 ÷ 4

→ 11 × 2 - 4 + 3

→ 22 - 4 + 3

→ 25 - 4

→ 21​

Hence, 21 is the correct answer.

The correct answer is Indica.

Key Points

• Megasthenes compiled information about India in the book Indika/Indica, which is now a lost work and only survives in quotes quoted by later writers in their books.
• Megasthenes visited India sometime between circa 302 BCE and 288 BCE.
• Megasthenes was an ancient Greek historian, diplomat, and Indian ethnographer.
• He was an ambassador of Seleucus Nicator I, in the court of Chandragupta Maurya.

Additional Information

• Vigyaneshwar composed a book called Mitakshara which is a commentary on Yajnavalkya Smriti.
• It is also called a legal book.
• Kalidasa wrote Megadutam, Malvikagnimitram.
• Banabhatta is the author of Harshacharita and Parvatiparinay.

Eight Boys: A, B, C, D, E, F, G and H;

i) Two boys are sitting on each side.

ii) D is second to the right of A.

iii) H and D sit on the opposite sides.

iv) H is either third to the left of D or third to the right of D.

Case 1:

Case 2:

v) A and B are sitting on the same side.

vi) E is not the neighbour of H or D.

This eliminates Case 2.

vii) F is not the neighbour of E and H.

Here, C and G are neighbours of E.

Hence, C and G is the correct answer.

The correct answer is Ploughing on sloping land along the contour lines.

• Contour ploughing is the farming practice of plowing and/or planting across a slope following its elevation contour lines.
• In this method, water doesn't erode the soil but rather socks into it.

Additional Information

• Terrace farming: it is the practice of cutting steps in the hill slopes to provide flat land for cultivation and check the soil erosion.
• Mulching: the bare grounds between plants is Covered with a layer of organic matter like straw. It helps to retain soil moisture.

The correct answer is ​Antonio Guterres.

• Antonio Guterres is the Secretary-General of the UN.
• Current General Assembly President is Tijjani Muhammad Bande.
• The United Nations General Assembly is one of the six principal organs of the United Nations (UN).
• The UN General Assembly is the only UN organ wherein all member states have equal representation.

Additional Information 

• The United Nations (UN) is the largest intergovernmental organisation that aims to maintain international peace and security.
• Established on 24 October 1945.
• The main organs of the UN are:

1. The General Assembly.
2. The Security Council.
3. The Economic and Social Council.
4. The Trusteeship Council.
5. The International Court of Justice.
6. The UN Secretariat.

• Headquarters of UN: New York, New York, United States.

The correct answer is Swachh Bharat Abhiyan.

Key Points

• Swachh Bharat Mission, Swachh Bharat Abhiyan, or Clean India Mission is a country-wide campaign initiated by the Government of India in 2014 to eliminate open defecation and improve solid waste management.
• Swachh Bharat Mission campaign was introduced by Prime Minister Narendra Modi and was launched on 2nd October 2014 in memory of Mahatma Gandhi’s vision of a Clean India.
• Even the logo of the Swachh Bharat Mission is inspired by Mahatma Gandhi.

Additional Information

• Swachh Bharat Abhiyan Major Objectives:
• The major objective of the Swachh Bharat Abhiyan is to spread awareness about cleanliness and its importance of it.
• The concept of Swachh Bharat Abhiyan is to provide basic sanitation facilities like toilets, solid and liquid waste disposal systems, village cleanliness, and a safe and adequate drinking water supply to every person.
• Swachh Bharat Mission was planned separately for Rural areas and Urban areas.

The correct answer is /login.php.

Key Points

• /login.php identifies the path of a web page.
• ".com" is short for commercial, many personal, educational, and non-profit websites have a .com domain name since it is the most recognizable.
• HTTPS: ensures data security over the network - mainly public networks like Wi-Fi. HTTP is not encrypted and is vulnerable to attackers who are eavesdropping and can gain access to website databases and sensitive information.
• "www.d2h.com" is a complete web address.

Additional Information

• URL stands for Uniform Resource Locator.
• A URL is nothing more than the address of a given unique resource on the Web.
• A URL has two main components
• Protocol identifier: For the URL http://example.com, the protocol identifier is HTTP.
• Resource name: For the URL http://example.com, the resource name is example.com.

The logic followed here is :

• Each letter is coded with the number that represents its place value in reverse alphabetical order.
• R → 9
• D → 23

Here, the code for READY will be 

Hence, the code for 'READY' will be '92226232'.

Concept used:

Cos (90° - θ) = Sin θ 

Sin (α - β) = Sinα Cosβ - Sinβ Cosα

Calculation:

cos 75° + sin 15°

⇒ Cos (90° - 15°) + sin 15°

⇒ sin 15° + sin 15°

⇒ 2 × sin 15°

⇒ 2 × Sin (45° - 30°)

⇒ 2 × (Sin 45° Cos 30° - Sin 30° Cos45°)

⇒ 2 × (${1 \over \sqrt2} × {\sqrt3 \over 2} - {1 \over 2} × {1 \over \sqrt2}$)

⇒ 2 × ${\sqrt 3 - 1} \over {2\sqrt2}$

⇒ $\frac{{\sqrt 3 , - ,1}}{{\sqrt 2 }}$

∴ The required answer is $\frac{{\sqrt 3 , - ,1}}{{\sqrt 2 }}$.

The correct answer is Lord Canning.

Key Points

• Lord Canning became the last governor-general and first viceroy of India during the rule of the British crow
• His tenure lasted for 6 years from 1856-to 62.
• After 1858, the post of the Governor-General came to be known as the Viceroy.
• Lord Canning was the Governor-General of India during the Revolt of 1857 and he is admired for his calm demeanour and for ensuring that the various government departments and the administration worked smoothly even during the revolt.
• He succeeded Lord Dalhousie as the Governor-general.

Additional Information

• Lord William Bentinck is also known as the father of western education in India.
• He was the first Governor-General of India who was in office from 1833-to 1835 (earlier as Governor-General of Bengal from 1828-1833).
• Lord Dalhousie was the youngest Governor-General of India from 1848 to 1856.
• He started the policy of Doctrine of Lapse.
• He is credited for the formation of the Gurkha regiment.

Given:

Excluding stoppage station, the speed of a train is 60 km/h and including stoppage station it travels at a speed of 45 km/h.

Concept used:

Time × Speed = Distance

1 hour = 60 minutes

Calculation:

Let the distance be D

So, the time required to cover the distance without stoppage will be = (D/60) hours

Time required for the same distance to cover with stoppage  = (D/45) hours

Then, the train stop for {(D/45) - (D/60)} hours ⇒ D/180 hours

So,

the stoppage time of the train per hour

= {(D/180) ÷ (D/45)} hours

⇒ 1/4 hours

⇒ (1/4 × 60) minutes

⇒ 15 minutes

∴ For 15 minutes the train stops per hour.

Concept used:

Multiply the last digit of a number by 9, and subtract it from the rest of the number. If the outcome is divisible by 13 then the number N is divisible by 13.

Calculation:

According to the divisibility rule of 13,

988 ⇒ 98 - (8 × 9) = 26, which is divisible by 13.

Only, 988 turns out to be a multiple of 13.

∴ 988 among the following is the greatest three-digit number that is divisible by 13.

The correct answer is India.

Key Points

• India has one of the largest domestic communication satellite systems in the Asia-Pacific region.
• Communication satellites possibly form the greatest number of satellites that are in orbit.
• They are used for communicating over large distances.

Additional Information

• INSAT and GSAT of India come under communication satellite.
• The Indian National Satellite (INSAT) systems which are placed in Geo-stationary orbits are one of the largest domestic communication satellite systems in the Asia-Pacific region.
• The height of the satellite above the Earth enables the satellites to communicate over vast distances and thereby overcoming the curvature of the Earth’s surface.
• The data is used for several applications covering agriculture, water resources, urban development, mineral prospecting, environment, forestry, drought and flood forecasting, ocean resources and disaster management.
• Using these satellites it is possible to see many features that are not obvious from the earth’s surface, or even at the altitudes at which aircraft fly.
• Using these earth observation satellites many geographical features have become obvious and they have even been used in mineral search and exploitation.

Given:

Rs. 742 is being divided into two parts in the ratio of 5 : 9

Concept used:

Ratio and Proportion

Calculation:

First part = 742 × ${5 \over (5\ +\ 9)}$ = Rs. 265

First part = 742 × ${9 \over (5\ +\ 9)}$ = Rs. 477

∴ Dividing Rs. 742 into two parts in the ratio of 5 : 9 will give the two parts as Rs. 265, Rs. 477.

Given: 

0.75 : x :: 2.5 : 8

Concept used:

In the case of a proportion, the product of the extreme terms is equal to the product of the middle terms. 

Calculation:

0.75 : x :: 2.5 : 8

⇒ 2.5x = 0.75 × 8

⇒ x = 2.4

∴ The required value of x is 2.4.

The correct answer is Satellite.

Important Points

• An artificial satellite is an object that people have made and launched into orbit using rockets.
• Aryabhata was the first unmanned artificial Earth satellite indigenously built by India.
• Hence Satellite is NOT wired broadband.

Additional Information

• A dial-up connection uses a standard phone line and analog modem to access the Internet.
• A dial-up connection is established when two or more communication devices use a public switched telephone network (PSTN) to connect to an Internet service provider (ISP).
• A cable is a hardware device that allows your computer to communicate with an Internet service provider over a landline connection.
• A cable modem is a device that modulates and demodulates an analog carrier signal to encode and decode digital information that is transmitted.
• A digital subscriber line (DSL) is a technology that transports high-bandwidth data over a simple telephone line that is directly connected to a modem.
• This allows for file-sharing, and the transmission of pictures and graphics, multimedia data, audio and video conferencing, and much more.
• DSL uses the analog medium, which is reliable and prevents interruptions and heavy packet loss.

The correct answer is Saikhom Mirabai Chanu.

Key Points

• Saikhom Mirabai Chanu is an Indian weightlifter.
• She is the female weightlifter from Manipur who has received India's highest sporting honour, Rajiv Gandhi Khel Ratna for 2018.
• She is the winner of the silver medal at the 2020 Tokyo Olympics in the Women's 49 kg category.
• She belongs to Nongpok Kakching village in Manipur's Imphal East district.

Additional Information

• Hima Das, an Indian sprint runner from Dhing, Assam was nicknamed "Dhing Express".
• Currently, she holds the Indian National Record for 400 metres with a timing of 50.79 seconds which she won in the 2018 Asian Games in Jakarta, Indonesia.
• Mangte Chungneijang Mary Kom is an Indian Olympic boxer from the state of Manipur.
• She is the only woman to become World Amateur Boxing champion for a record six times.
• She has been nicknamed 'Magnificent Mary'.
• Karna Malleswari is a former Indian weightlifter born in Andhra Pradesh.
• She is the first Indian woman to fetch a medal at Olympics,
• She won a Bronze medal at Sydney Olympics, 2000.
• She was honoured with Rajiv Gandhi to help Ratna in 1995 and Padma Shri in 1999.

The correct answer is Pituitary.

Key Points

• The pituitary is responsible for dwarfism in humans.
• Growth hormone is released into the bloodstream from the anterior pituitary gland.
• The pituitary gland also produces other hormones that have different functions from growth hormones.
• Growth hormone is produced by the pituitary gland.
• It has many functions including maintaining normal body structure and metabolism.
• It is a small pea-sized gland that plays a major role in regulating vital body functions.
• It is also referred to as the 'master gland' of the human body as it controls the activity of most of the other hormone-secreting glands.

Additional Information

• Thyroxine is the main hormone secreted into the bloodstream by the thyroid gland. 
• It is also called tetraiodothyronine. It maintains the basic metabolism of the body.
• Adrenaline hormone is secreted by the adrenal gland.
• Adrenaline hormones are rapidly secreted in response to the stress of any kind and during emergency situations and are called emergency hormones or hormones of Fight or Flight.
• The pancreas functions as both endocrine and exocrine functions.
• The pancreas has exocrine glands that produce enzymes that are useful for digestion.
• These are released from the acinar cells that act as exocrine cells.

Given:

$\frac{{\sqrt 7 , - ,\sqrt 3 }}{{\sqrt 7 , + ,\sqrt 3 }}, + ,\frac{{\sqrt 7 , + ,\sqrt 3 }}{{\sqrt 7 , - ,\sqrt 3 }}, + ,\frac{{\sqrt 3 , + ,1}}{{\sqrt 3 , - ,1}}, + ,\frac{{\sqrt 3 , - ,1}}{{\sqrt 3 , + ,1}}$

Concept used:

(A + B)² = A² + B² + 2AB

(A - B)2 = A2 + B2 - 2AB

(A + B) (A - B) = A² - B²

Calculation:

$\frac{{\sqrt 7 , - ,\sqrt 3 }}{{\sqrt 7 , + ,\sqrt 3 }}, + ,\frac{{\sqrt 7 , + ,\sqrt 3 }}{{\sqrt 7 , - ,\sqrt 3 }}, + ,\frac{{\sqrt 3 , + ,1}}{{\sqrt 3 , - ,1}}, + ,\frac{{\sqrt 3 , - ,1}}{{\sqrt 3 , + ,1}}$

⇒ ${(\sqrt7 - \sqrt3)^2 + (\sqrt7 + \sqrt3)^2} \over {(\sqrt7 - \sqrt3)\ (\sqrt7 +\sqrt3)}$ + ${(\sqrt3 + 1)^2 + (\sqrt3 - 1)^2} \over {(\sqrt3 -1) (\sqrt3 + 1)}$

⇒ ${(\sqrt3 + 1)^2 + (\sqrt3 - 1)^2} \over {(\sqrt3 -1) (\sqrt3 + 1)}$ + ${3 + 1 + 2\sqrt3 + 3 +1 - 2\sqrt3} \over {3 - 1}$

⇒ 5 + 4

⇒ 9

∴ The required value is 9.

The correct answer is Kendrick Lamar.

Key Points

• Kendrick Lamar is the first rapper to win Pulitzer Prize for music.
• Kendrick Lamar received the Pulitzer Prize for his 2017 album "DAMN".
• Lamar became the first non-classical or jazz musician to win a Pulitzer for music.
• Lamar had also notched four Grammys including the best rap album this year for "DAMN".

Additional Information

• The Pulitzer Prize is an award for achievements in newspaper, magazine, and online journalism, literature, and musical composition within the United States.
• First awarded:  In 1917.
• Awarded for: Excellence in newspaper journalism, literary achievements, and musical composition.
• Presented by: Columbia University.

The correct answer is phototropism.

Key Points

• Phototropism is a directed response in plants that permits them to grow towards, or away from, a light source.
• The modulation of physiology or development in relation to day length is known as photoperiodism.
• Positive phototropism is the plant's reaction to the light source.
• Sunflower is an example.
• Negative phototropism occurs when a plant grows in the opposite direction of the light source.

Important Points

• In 1880, Charles Darwin studied phototropism in canary grass and oat coleoptiles with the help of his son, and published his findings in the book 'The Power of Movement in Plants.' They noticed seedlings bending towards the light.
• They showed this by covering the tops of the oat coleoptiles, preventing photosynthesis.
• They became phototropic when they covered the lower portion of these coleoptiles. From this and other trials, he determined that the grass's tip (called coleoptiles) has a strong perception of light and bends towards it, but the central region activates protons, lowering the pH in the cells.

Given:

A is 80% more than B and B is 20% less than C

Concept used:

Application of Percentage 

Calculation:

Let be C be 100Q

Hence,

B = 100Q - 100Q × 20% = 80Q

A = 80Q + 80% × 80Q = 144Q

Thus,

A : B : C

⇒ 144Q : 80Q : 100Q

⇒ 36 : 20 : 25

∴ The value of A : B : C is 36 : 20 : 25.

Given:

cot x = 3

Concept used:

A² - B² = (A + B) (A - B)

Cot θ = ${Cos\theta \over Sin\theta}$

Calculation: 

$\rm\frac{{\left( {3, + ,3,\sin ,x} \right)\left( {1, - ,\sin ,x} \right)}}{{\left( {2, + ,2,\cos ,x} \right)\left( {3, - ,3,\cos ,x} \right)}},$

⇒ ${3 \times (1 + sin x) (1 - sinx)} \over {6 \times (1 + cosx) (1 - cosx)}$

⇒ ${(1 - sin^2x) \over 2 \times (1- cos^2x)}$

⇒ $cos^2x \over 2\times sin^2x$

⇒ $cot^2x \over 2$

⇒ $\frac{3^2}{2}$

⇒ $\frac{9}{2}$

∴ The required value is $\frac{9}{2}$

The correct answer is 1988.

Key Points

• The UN Peacekeeping forces were awarded Nobel Prize for Peace in the year 1988.
• UN Peacekeeping helps countries navigate the difficult path from conflict to peace. The UN peacekeepers provide security and political and peacebuilding support to help countries make the difficult, early transition from conflict to peace.
• UN Peacekeeping is guided by three basic principles:-
• Consent of the parties
• Impartiality
• Non-use of force except in self-defence and defence of the mandate.
• Indian soldiers had been awarded the 'UN Medal' recently for their peacekeeping works in South Sudan.

9 persons : A, B, C, D, E, F, G, H and I.

i) G sits fourth to the right of B.

ii) F is fourth to the right of C and is second to the left of I.

iii) G is second to the right of C.

iv) There are only three persons between E and A.

v) I is fifth to the right of A.

vi) D is not the neighbour of I and B.

Hence, 'D between F and G' is the correct answer.

The correct answer is Gorakhpur.

Important Points

• Presently Gorakhpur railway station in Uttar Pradesh has the longest platform (1366 m) in the world.
• Kharagpur Junction railway station is the third-longest railway platform in India, located in the state of West Bengal and its length is 1,072 meters.
• Sonpur railway station is listed as one of the longest railway platforms in India with a length of 738 m and is known for India’s longest road-cum-rail bridge (Ganga Rail-Road Bridge).
• Deen Dayal Upadhyaya railway station (Mughalsarai) contains the largest railway marshalling yard in Asia.

The correct answer is Wajid Ali Shah. 

Key Points

• The song of lament 'the life has gone out of the body' is associated with Nawab Wajid Ali Shah of the State of Awadh.
• The exile of the ruler of the Awadh kingdom was termed as "The life has gone out of the body".
• Awadh is known in British historical texts as Avadh or Oudh.
• Awadh is a region of Uttar Pradesh
• The traditional capital of Awadh was Lucknow, also the station of the British Resident, which now is the capital of Uttar Pradesh.

Additional Information 

• Why it was termed as "The life has gone out of the body"?
• Awadh was annexed by the British on the plea that the region was being misgoverned
• The British thought that the Nawab was not popular but on the contrary, he was very popular.
• People considered it as “the life has gone out of the body”.
• The removal led to an emotional upheaval among the people of Awadh.

Given: 

Numbers = 18 and 42

Concept used:

LCM × HCF = The Product of two numbers

Calculation:

The product of LCM and HCF of 18 and 42 = 18 × 42 = 756 

∴ The product of LCM and HCF of 18 and 42 is 756.

The correct answer is roasting.

Key Points

• In this roasting process, the ores are generally converted into​ Metal oxides.
• It is the process in which ore is converted into its oxide by heating it strongly in excess of air.
• This method is commonly used for sulfide ores.
• During the roasting process, moisture and non-metallic impurities are removed as volatile gases.
• For example, Zinc sulfide is converted into zinc oxide by roasting.

Additional Information

• In calcination, the ore is heated above its melting point in the absence of air or a very limited amount of oxygen supply.
• Calcination is mostly applied in the decomposition of carbonate ores.
• Calcination can be used to drive out moisture from an ore.

Given:

In a triangle, right angled at B, AB = 12 cm and BC = 5 cm.

Concept used:

Pythagoras Theorem

Sin θ = $Height \over Hypotenuse$

Cos θ = $Base \over Hypotenuse$

Calculation:

Thus, AC = ${\sqrt {12^2 +5^2}}$ = 13 cm

Sin A = $5 \over 13$

Cos A = $12 \over 13$

Hence, Sin A Cos A = $60 \over 169$

Sin C = $12 \over 13$

Cos C = $5 \over 13$

Hence, Sin C Cos C = $60 \over 169$

∴ Option 2 is the answer.

The relationship between Wheat, Rice and Grain is as follows:

• All wheat are grain.
• All Rice are grain.

Hence, the answer figure is B.

The correct answer is Maharashtra.

Key Points

• The cultivation and harvesting of grapes are called viticulture.
• Viticulture is the speciality of the Mediterranian region.
• The best quality wines in the world with distinctive flavours are produced from this region such as Port wine is famous in Portugal, Sherry in Southern Spain, etc.
• In India, Maharashtra state has the highest production of Viticulture.

Additional Information

The correct answer is Kolkata.

• Netaji Subhash Chandra Bose International Airport is located in Kolkata.
• Netaji Subhas Chandra Bose airport is one of the oldest airports in India.
• Netaji Subhas Chandra Bose International Airport which was earlier known as "Dum Dum Airport" is situated in Kolkata.
• It was opened in 1924 AD and it is the fifth-busiest airport in India.​