DSSSB TGT Natural Science Female 27 Sept 2021 (Shift 1) (Previous Year Paper)

Logic: 10 is added in each alphabet of each set to get the next set.

So, in the term "XRGR" First 'R' is wrong, P will come at this place. The correct term would be "XPGR".

Hence, the wrong term is "XRGR".

Logic: 8 is added to positional value of each alphabets and also in the number present in the middle of each set.

The required logic is shown as below.

Hence, the missing term is "P33YN".

Logic: Positional value of letters of first set is multiply by 2 to get the letters of second set.

Similarly, HEAL is coded as,

Hence, the correct answer is "PJBX".

Given: Iraq ∶ Baghdad ∶∶ ? ∶ ?

The relationship here is that Baghdad is the capital city of Iraq.

Now, we need to find which pair among the options has the same capital-country relationship:

Option 1: Saudi Arabia ∶ Abu Dhabi (Incorrect: The capital of Saudi Arabia is Riyadh, not Abu Dhabi)

Option 2: United Arab Emirates ∶ Riyadh (Incorrect: The capital of United Arab Emirates is Abu Dhabi, not Riyadh)

Option 3: Syria ∶ Damascus (Correct: Damascus is the capital of Syria)

Option 4: Afghanistan ∶ Islamabad (Incorrect: The capital of Afghanistan is Kabul, not Islamabad)

Therefore, the correct answer is (3) Syria ∶ Damascus

Logic: To solve this, we need to understand the coding pattern used to convert the word "TRIANGLE" into "34821659". We will do this by mapping each letter in "TRIANGLE" to its corresponding digit in "34821659".

Now, we use the same mappings to code the word "REALIGN":

• R → 4
• E → 9
• A → 2
• L → 5
• I → 8
• G → 6
• N → 1

Thus, "REALIGN" is coded as "4925861".

Therefore, the code for "REALIGN" is "4925861".

Given: Suresh's position is seventy five from the right end and eleventh from the left end.

Total employees in the company = (Suresh's position form right end + Suresh's position form left end) - 1

= 75 + 11 - 1 

⇒ 85

Hence, total 85 are in the company.

Six persons Rahul, Pankaj, Praveen, Puneet, Rajat and Pawan are sitting in a row of office at different positions, and each got different salary i.e. -20000, 10000, 8000, 50000, 45000 and 30000.

• Rajat got 450000 salary.

• Rajat is sitting between Puneet and Pankaj.

• Praveen is second to the left of Puneet.

• Rahul is sitting at the left end of the row and got 50000 salary.

• Pawan sits near Praveen and gets 10000 salary. He will to the right of Praveen because on the left end Rahul is sitting.

• Praveen has neither got 8000 nor 30000 salary

• The one who gets salary 8000 does not sit at the extreme end of the row.

Which means 30000 salaried person will be Puneet. and 8000 salaried person will be Pankaj as Praveen can not have it and it also means that Praveen have 20000 salary.

So, the final arrangement is as follow,

Hence, Pankaj gets 30000 salary.

Least possible diagram of the given statement,

Conclusion I: Some licence are road. → False (There is no direct relation between the two elements. Hence, it is indefinite conclusion.)

Conclusion II: No licence is road. → False (There is no direct relation between the two elements. Hence, it is indefinite conclusion.)

But these two conclusion have similar subject and predicate, and have relation of 'some' and 'no'. They are making complimentary pairs. So, they will follow either - or case.

Hence, the correct answer is "Either conclusion I and II follow".

Given Statements:

No lake are river.

All river are valleys.

Some valley are hills.

The least possible Venn diagram is as follows,

Conclusions:

(I) Some hills are rivers. → False

There is no information connecting hills directly to rivers.

(II) Some rivers are valleys. → True

Since all rivers are valleys, some rivers are definitely valleys..

Thus, the correct answer is:

"Only Conclusion II follows."

Given Statements:

Some radio are moon.

Some moon are sun.

Some sun are ocean.

Conclusions:

(I) Some moon are ocean. → False

Insufficient information to link moon and ocean directly.

(II) No moon are ocean. → False

Insufficient information to assert no connection between moon and ocean.

(III) Some radio are sun. → False

No direct link between radio and sun established.

Complementary Pair:

Conclusions (I) and (II) form a complementary pair and follow the "either/or" case.

Therefore, the correct answer is "Either Conclusion I or Conclusion II follows."

The logic follows here:

1^st number

2^nd number = (1^st number)2

3^rd number = Digits interchange of 2^nd number.

Given:

(6, 36, 63)

1^st number = 6

2^nd number = (1^st number)2 = 62 = 36

3^rd number = Digits interchange of 2^nd number = 63

Similarly,

In option (2):

(8, 64, 46)

1^st number = 8

2^nd number = (1^st number)2 = 82 = 64

3^rd number = Digits interchange of 2^nd number = 46

Hence, the correct answer is "8, 64, 46".

Given statement: Q > R > S ≥ P

Conclusions :

i) S > P → TRUE (as S ≥ P includes the possibility of S being greater than P).

ii) S = P → TRUE (as S ≥ P includes the possibility of S being equal to P).

Hence, the correct answer is "Either I or II follows".

Logic: Each number is multiply by a certain number starts from 1/2, 3/2 and so on.

The above logic can be shown as below,

Hence, the next term will be '315'.

According to the Venn diagram, L shows the common part of triangle, pentagon and square but not circle.

It's Venn diagram is shown as below,

Hence, the correct answer is "Ladies who prefer western outfit and sarees but not traditional outfit.".

According to the Venn diagram, G shows common part of pentagon, triangle and square but not rectangle and circle.

It is shown as below,

Hence, the correct answer is "Youngsters who like social gatherings and college reunion but not weekend and marriage parties".

Logic: First half part of the arrow is shaded black and in the next figure, lower half part of the figure is shaded black and so on and it is going downward in each next diagram.

So, in the next figure, lower half of the third arrow will be shaded black.

Hence, the correct answer is "option 2".

Hence, the correct answer is "option 4".

The mirror image of the given figure is as follows,

Hence, the correct answer is "option 3".

The number of rectangle is shown as below,

Hence, there are 10 rectangles in the given figure.

The Image which completes the above figure is as follows,

Hence, the correct answer is "option 1".

The correct answer is Uttarakhand.

Key Points

• Ramman
• It is a religious festival and ritual theatre of the Hindu Community in the Saloor Dungra village of the Chamoli District of Uttrakhand.
• The Ramman is unique to the village and is neither replicated nor performed anywhere else in the Himalayan region.
• It is conducted as an offering to the guardian deity of Saloor Dungra, Bhumichetrapal also known as Bhumiyal Deity.
• It is held in deity's honor every year after Baisakhi, a harvest festival.
• The festival lasts for ten days during which the local epic of Rama is sung and masked dances depicting different aspects of life.
• It begins with an invocation to Ganesha, the remover of obstacles followed by the dance of Ganesha and Parvati.
• The village of Saloor-Dungra is the inheritors, organizers, and finances of the Ramman festival.
• UNESCO inscribed Ramman on its Representative List of the Intangible Cultural Heritage of Humanity in 2009.

The correct answer is Sunehri Mahal.

Key Points

• Sunehri Mahal
• Sunheri Mahal, also called Soneri Mahal, is located in Aurangabad, Maharashtra, India. Hence, option 2 is the correct answer.
• The palace was constructed between 1651 and 1653 AD.
• Sunheri Mahal currently functions as the Maharashtra State Museum for Aurangabad.
• It showcases various artifacts and historical items significant to the region.
• The architecture is Rajput style, constructed using lime and stone materials.
• A beautiful, well-maintained garden enhances the palace's aesthetic appeal.

Additional Information

• Somnath Temple, Palitana Jain Temple, and Lakhpat are located in Gujrat.

The correct answer is Janmashtami.

Key Points

• Janmashtami
• ​The birthday of Lord Krishna famous is famous by the name of Janmashtami.
• Krishna Janmashtami, which translates to "Occasion of the birth of Krishna," is a Hindu festival that honours the birth of Krishna, the eighth manifestation of Vishnu.
• It is also known as Krishnashtami, Janmashtami, or Gokulashtami. Ashtami, the eighth tithi of the Krishna Paksha (dark fortnight) of Shraavana Masa (according to amanta tradition) or Bhadrapada Masa, is the day on which it is observed in accordance with the Hindu lunisolar calendar (according to the purnimanta tradition).
• This falls during the Gregorian calendar months of August or September.

Additional Information

• Particularly in the Hindu Vaishnavism tradition, it is a significant festival.
• The celebrations of Janmashtami include fasting (upavasa), a night vigil (Ratri Jagaran), devotional singing through the midnight when Krishna was born, dance-drama reenactments of Krishna's life as described in the Bhagavata Purana.

The correct answer is Cricket.

Key Points

• The Googly is a type of bowling delivery in cricket.
• It is a type of throw or bowl in which the spin of the ball causes it to veer sharply to the leg side of a right-handed batsman.
• The move was invented by famous English cricketer Bernard Bosanquet and is also sometimes called a Bosey in his remembrance.

Additional Information

The correct answer is Vishwanath Anand.

• The first recipient of the Rajiv Gandhi Khel Ratna Prize was Chess Grandmaster Viswanathan Anand, who was honoured for the performance in the year 1991–92.

Key Points 

• The Rajiv Gandhi Khel Ratna award is the highest sporting honour of the Republic of India.
• The award is named after Rajiv Gandhi, former Prime Minister of India.
• It is awarded annually by the Ministry of Youth Affairs and Sports.
• Prime Minister Narendra Modi has announced that the Rajiv Gandhi Khel Ratna Award will now be known as the Major Dhyan Chand Khel Ratna Award.
• Dhyan Chand himself has been conferred with several honours, including India’s third highest civilian honour of Padma Bhushan in 1956.
• In addition to this, the Government of India also celebrates his birthday on August 29 as National Sports Day.
• The Khel Ratna award is the highest sporting honour in the nation.
• The prestigious award carries prize money of Rs. 25 lakh.

Additional Information

• Abhinav Bindra won India's 1^st individual Olympic gold medal. At the 2008 Summer Olympics, his gold in the 10-meter air rifle event was also India's first Olympic gold medal since 1980.
• Neeraj Chopra created history by winning a Gold medal in the men's javelin throw (Track and Field event) at Tokyo Olympic 2020.
• His best throw of 87.58 m in just a second attempt.
• And India's second-ever individual Olympic gold medalist after shooter Abhinav Bindra.
• Viswanathan Anand is a former world chess champion and Indian chess grandmaster. In 1988, he became the first Indian Grandmaster.
• In limited-overs formats from 2007 to 2016 and in test cricket from 2008 to 2014, former Indian international cricketer Mahendra Singh Dhoni captained the Indian national team.
• Sachin Ramesh Tendulkar is a former international Indian cricketer who served as the Indian national team's captain.

The correct answer is Padma Vibhushan.

Key Points

• M S Dhoni is an Indian Cricket player.
• He is India’s first wicketkeeper to have taken 300 catches.
• He has led India to victory in the 2011 Cricket World Cup, the 2007 ICC World Twenty20, and the 2013 ICC Champions Trophy, the only captain to win three different limited-overs tournaments.
• He also led the teams that won the Asia Cup in 2010, and 2016 and was a member of the title-winning squad in 2018.
• In 2008, Dhoni was awarded India's highest sports honor Major Dhyan Chand Khel Ratna Award by the Government of India.
• He received the fourth-highest civilian award Padma Shri in 2009 and the third-highest civilian award Padma Bhushan in 2018.
• Second Indian cricketer after Kapil Dev to conferred the honorary rank of Lieutenant Colonel in the Indian Territorial Army.
• First Indian and fifth overall to hit 200 sixes in One-day internationals.
• Only keeper to pass 100 stumping in One-day internationals.
• Biopic:  M.S. Dhoni: The Untold Story.

The correct answer is Mrs Indira Gandhi.

Key Points

• She was the first and only female Prime Minister of India.
• She was the first Women External Affairs Minister of India.
• Following the recommendation of Prime Minister Indira Gandhi, President Fakhruddin Ali Ahmed declared a national emergency on 25 June 1975.
• Indira Gandhi was awarded Bharat Ratna in 1971.
• She was the second longest-serving Indian prime minister after her father Jawahar Lal Nehru.
• She was also awarded "Bangladesh Freedom Honour" in 2011.
• She was also the President of INC in 1959.
• She was killed by her Sikh bodyguards Beant Singh and Satwant Singh in the aftermath of Operation Blue Star in 1984.

The correct answer is 26 hours.

Key Points

• Hong Kong’s Tsang Yin-Hung has set a new record as she scaled Mount Everest in less than 26 hours.
• Tsang Yin-hung, 44, scaled the 8,848.86-metre mountain in a record time of 25 hours and 50 minutes on 22 May 2021.
• It is the shortest time taken by any woman after starting from the base camp.
• She beat the record set by Nepali woman Phunjo Jhangmu Lama in 2017, who climbed Everest in 39 hours and 6 minutes.
• Climber from the United States Arthur Muir has also set a new record as she became the oldest American to climb the world’s highest peak at 8,848.86-metres (29,031 feet).
• Muir beat the record set by Bill Burke, who became the oldest American to climb the mountain at the age of 67 in 2009.

The correct answer is 2007 to 2012.

Key Points

• Some important aspects of the 11^th Five-year plan (2007-2012).
• The average annual economic growth rate of 8%.
• The farm sector grew at an average rate of 3.7% as against the 4% targeted.
• The industry grew with an annual average growth of 7.2% against the 10% targeted.
• Objective:-
• Rapid and inclusive growth.
• Empowerment through education and skill development.
• Reduction of gender inequality.
• Environmental sustainability.

The correct answer is Collateral.

Key Points

• Credit refers to an agreement in which the lender supplies the borrower with money, goods, or services in return for the promise of future payment.
• The terms associated with credit are:
• Interest rate.
• Collateral.
• Necessary documents.
• Every loan(credit) agreement specifies an interest rate which the borrower must pay to the lender along with the repayment of the principal.
• Lenders may demand collateral (security) against loans.
• Collateral is an asset that the borrower owns such as land, vehicle, building, or deposits with banks, and uses this as a guarantee to a lender until the loan is repaid.
• The lender has the right to sell the asset or collateral to obtain payment If the borrower fails to repay the loan.
• One had to submit necessary valid documents to the bank for the approval of loans.

The correct answer is National Defence.

Key Points

• National Defence:
• National Defence is a subject included in the Union List.
• It is managed by the central government of India.
• Agriculture:
• Agriculture is a subject included in the State List.
• This means it is primarily managed by the state governments.
• Law and Order:
• Law and Order is included in the State List.
• State governments are responsible for maintaining law and order within their territories.
• Education:
• Education is included in the Concurrent List.
• Both state and central governments have jurisdiction over education matters.

Additional Information

• The Constitution of India divides subjects into three lists: Union List, State List, and Concurrent List.
• The Union List includes subjects of national importance such as Defence, Atomic Energy, and Foreign Affairs.
• The State List includes subjects of local or regional importance such as Police, Public Health, and Agriculture.
• The Concurrent List includes subjects of common interest to both the Union and State governments such as Education, Marriage laws, and Bankruptcy and Insolvency laws.
• This division helps in defining the powers and responsibilities of the different levels of government.

The correct answer is Indian National Congress.

Key Points 

• Indian National Congress (INC): Popularly known as the Congress Party.
• One of the oldest parties in the world.
• Founded in 1885 and has experienced many splits.
• Played a dominant role in Indian politics at the national and state level for several decades after India’s Independence.
• Under the leadership of Jawaharlal Nehru, the party sought to build a modern secular democratic republic in India.
• The ruling party was at the centre till 1977 and then from 1980 to 1989.
• After 1989, its support declined, but it continues to be present throughout the country, cutting across social divisions.
• A centrist party (neither rightist nor leftist) in its ideological orientation, the party espouses secularism and the welfare of weaker sections and minorities.
• Supports new economic reforms but with a human face.
• Emerged as the largest party with 145 members in the Lok Sabha elections held in 2004.
• Currently leads the ruling United Progressive Alliance coalition government at the Centre.

Additional Information

• Bharatiya Janata Party (BJP): Founded in 1980 by reviving the erstwhile Bharatiya Jana Sangh.
• Communist Party of India (CPI): Formed in 1925.

The correct answer is Saprophytic

Key Points 

• Saprophytic nutrition is the mode of nutrition in mushrooms.
• Organisms that die and decay organic matter are used as food in saprophytic nutrition.
• Saprophytic nutrition:
• Saprophytic nutrition is the mode of nutrition in mushrooms.
• Organisms that die and decay organic matter are used as food in saprophytic nutrition.
• This process uses components contained in dead and decaying material for cellular needs.
• Therefore, mushrooms are saprophytic based on some other ingredients like dead and rot for their food.

Additional Information

• Holozoic
• Holozoic nutrition is a type of heterotrophic nutrition that is characterized by the internalization and internal processing of liquids or solid food particles.
• Symbiotic
• Symbiosis is any type of close and long-term biological interaction between two different biological organisms, be it mutualistic, commensalism, or parasitic.
• Parasitic
• Parasitism is a close relationship between species, where one organism, the parasite, lives on or inside another organism, the host, causing it some harm, and is adapted structurally to this way of life.

The correct answer is Natural Gas.

Key Points

• Natural gas (also called fossil gas; sometimes just gas), is a naturally occurring hydrocarbon gas mixture consisting primarily of methane, but commonly including varying amounts of other higher alkanes, and sometimes a small percentage of carbon dioxide, nitrogen, hydrogen sulfide, or helium.
• It is formed when layers of decomposing plant and animal matter are exposed to intense heat and pressure under the surface of the Earth over millions of years.
• The energy that the plants originally obtained from the sun is stored in the form of chemical bonds in the gas.
• Natural gas is a fossil fuel. It is a non-renewable hydrocarbon used as a source of energy for heating, cooking, and electricity generation.
• It is also used as a fuel for vehicles and as a chemical feedstock in the manufacture of plastics and other commercially important organic chemicals.

The correct answer is Magnetite.

Key Points

• Magnetite
• It is the finest iron ore with a very high content of iron up to 70 per cent.
• It has excellent magnetic qualities, especially valuable in the electrical industry.
• It is found in Dharwad and Cuddapah systems.
• Found in Karnataka, Andhra Pradesh, Rajasthan, Tamil Nadu and Kerala.

Additional Information

• Haematite
• It has 60-70 per cent metallic content.
• It is Reddish and of the best quality.
• It is found in Dharwad and Cuddapah rock systems of peninsular India.
• 80 per cent of haematite reserves are in Odisha, Jharkhand, Chhattisgarh, and Andhra Pradesh.
• In the western section, Karnataka, Maharashtra, and Goa have this kind of ore.
• Hematite ore is the most important industrial iron ore in terms of the quantity used.
• Limonite 
• Inferior ore, yellowish, 40 to 60 per cent iron metal.
• Damuda series in Raniganj coalfield, Garhwal in Uttarakhand, Mirzapur in Uttar Pradesh, and Kangra valley of Himachal Pradesh.
• Siderite
• It is inferior in quality.
• Contains less than 40 percent iron.
• It contains many impurities.
• mining is not economically variable.
• However, it is self-fluxing due to the presence of lime.

The correct answer is 10.

Key Points

• Rig Veda:
• There are 1028 mantras in the Rigveda which include the unpromising Valakhilia hymns.
• The Rig Veda consists of 1028 hymns, organised into ten books known as maṇḍalas.
• They were composed in an archaic language named Vedic that gradually evolved into classical Sanskrit.
• Each maṇḍala has sūktas (hymns) formed by individual strophes.
• The Rig Veda is the earliest of the four Vedas and one of the most important texts of the Hindu tradition.
• It is a large collection of hymns in praise of the gods, which are chanted in various rituals.

Additional Information

• Samaveda
• There are 1549 verses (except 75 verses, all have been taken from Rigveda)
• There are two Upanishads embedded in Samaveda – Chandogya Upanishad and Kena Upanishad
• The Samaveda is considered the root of Indian classical music and dance
• It is considered as the storehouse of the melodious chants
• Though it has lesser verses than Rigveda, however, its texts are larger
• There are three recensions of the text of the Samaveda – Kauthuma, Raṇayaniya and Jaimaniya
• Yajurveda
• Stands to mean ‘Worship Knowledge’, Yajurveda dates back to 1100-800 BCE; corresponding with Samaveda.
• It compiles ritual-offering mantras/chants.
• These chants were offered by the priest alongside a person who used to perform a ritual (in most cases yajna fire).
• Atharvaveda
• Stands to mean a tatpurusha compound of Atharvan, an ancient sage, and knowledge (atharvan+knowledge), it dates back to 1000-800 BCE.

The correct answer is Home Rule league

Key Points

• Home Rule League:-
• He was an Indian political organization that campaigned for self-governance for India within the British Empire.
• It was founded in 1916 by two prominent Indian nationalists, Bal Gangadhar Tilak and Annie Besant.
• The Home Rule League was active for about two years, and it played a significant role in the Indian independence movement.
• Annie Besant’s Home Rule League was centered in Madras, India.

Additional Information

• Annie Besant:-
• She was a British socialist, theosophist, freemason, women's rights and Home Rule activist, educationist, and campaigner for Indian nationalism.
• She was an ardent supporter of both Irish and Indian self-rule.
• She is the First Female President of the Indian National Congress in 1917.

The correct answer is Japan.

Key Points

• World War II was between Allied forces and Axis powers.

• The main Axis powers were Italy, Japan, and Germany.

• The Axis alliance was started in September 1940 with the Tripartite Pact.

• | Country | Leaders | | --- | --- | | Italy | Benito Mussolini | | Japan | Emperor Hirohito | | Germany | Adolf Hitler |

• Allied powers were Great Britain, The United States, China, and the Soviet Union.

• | Country | Leaders | | --- | --- | | USA | Franklin Roosevelt | | Great Britain | Winston Churchill | | Soviet Union | Joseph Stalin |

Additional Information

• The world witnessed the two most devastating wars that had shaken the entire world. World War I lasted from 1914 to 1918. It was also known as the ‘Great War’. It was fought between the Allied powers and Central powers. World War II lasted from 1939 to 1945. The Axis and Allies fought are the two principal belligerents in this war.
• World War II:
• Also known as the Second World War.
• It lasted for six years.
• Around 3% of the world population was erased because of this bloodshed.
• The world war ended with the nuclear bombing of two Japanese cities, Nagasaki and Hiroshima.
• The Cold War finds its birth with the end of World War II.
• Causes of World War II:
• Treaty of Versailles
• Worldwide economic depression
• The rise of militarism in Germany and Japan
• Failure of the League of Nations
• Rise of fascism

The correct answer is Padma Sachdev.

Key Points

• Legendary Dogri poet and Sahitya Akademi awardee, Padma Sachdev died aged 81 at her home in Mumbai in August 2021.
• Sachdev was born in the Purmandal area of Jammu in 1940 in the house of Sanskrit Scholar Prof Jai Dev Badu.
• She also wrote lyrics for Hindi films such as Prem Parbat and Aankhin Dekhi in the 1970s.
• She received the Padma Shri, the country’s fourth-highest civilian award, in 2001.
• She was also awarded the Kabir Samman for poetry for 2007-08 by the Madhya Pradesh government.
• She authored many books in Dogri and Hindi, and her poetry collections, including ‘Meri Kavita Mere Geet’, won her the Sahitya Akademi Award in 1971.

​

The correct answer is Harsh Vardhan.

Key Points

• Dr. Harsh Vardhan is the Union Minister of Science and Technology, Minister of Health and Family Welfare, and Minister of Earth Sciences.
• He is a Member of Parliament from Chandni Chowk, Delhi Constituency.

Additional Information

• Harsimrat Kaur Badal was a former Union Cabinet Minister of Food Processing Industries.
• Narendra Tomar is the Minister of Agriculture & Farmers Welfare, Minister of Rural Development, and Minister of Food Processing Industries in the Union Cabinet.
• Uma Bharati was the 15^th Chief Minister of Madhya Pradesh.

Given : a3 + b3 + c3 - 3abc, when a = 225, b = 226, and c = 227 

Formula used :

$⇒ {a^3} + {b^3} + {c^3} - 3abc = \frac{1}{2}\left( {a + b + c} \right);\left[ {{{\left( {;a - b} \right)}^2} + {{\left( {b - c;} \right)}^2} + {{\left( {c - a} \right)}^2}} \right]$

${a^3} + {b^3} + {c^3} - 3abc = \frac{1}{2}\left( {225 + 226 + 227} \right);\left[ {{{\left( {;225 - 226} \right)}^2} + {{\left( {226 - 227} \right)}^2} + {{\left( {227 - 225} \right)}^2}} \right]$

⇒ ${a^3} + {b^3} + {c^3} - 3abc = \frac{1}{2}\left( {678} \right);\left[ {{1^2} + {1^2} + {2^2}} \right]$

${a^3} + {b^3} + {c^3} - 3abc = \left( {678} \right)(3)$ = 2034

Shortcut Trick

Given:

$a = 225$, $b = 226$, $c = 227$

$a, b, c$ are in A.P. (Arithmetic Progression)

Common Difference $d = b - a = 226 - 225 = 1$

Formula Used:

If $a, b, c$ are in A.P. with common difference $d$, then:

$a^3 + b^3 + c^3 - 3abc = 9bd^2$

Calculations:

$a^3 + b^3 + c^3 - 3abc$

⇒ $9 \times b \times d^2$

⇒ $9 \times 226 \times 1^2$

⇒ $2034$

∴ The value of $a^3 + b^3 + c^3 - 3abc$ is $2034$.

Given:

702 × 18 ÷ 81 -$\sqrt{441}$ = ? percent of 45

Calculation:

702 × 18 ÷ 81 -$\sqrt{441}$ = ? percent of 45

⇒ 702 × 18 ÷ 81 - 21 = x% of 45

⇒ 156 - 21 = x% of 45

⇒ 135 = 45x/100

⇒ $x\% = \frac{135}{45} \times 100 = 300$

So, the value that will come in place of the question mark is 300.

Given:

$\frac{11 × 11 × 11+5 × 5 × 5}{(11)^2+(5)^2-11 × 5}=?$

**Formula Used:**2.

The given denominator is already in the form:

$(a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

Calculation:

a = 11 and b = 5

Step 2: Use the sum of cubes formula for the numerator:

a³ + b³ = (11³ + 5³) = (11 + 5)(11² - 11 × 5 + 5²)

Simplify the denominator:

(11² + 5² - 11 × 5)

Divide the simplified numerator by the simplified denominator:

(11 + 5)(112 - 11 × 5 + 52)/(112 + 52 - 11 × 5) = 11 + 5 = 16

So, the value that will come in place of the question mark is 16.

HCF of (209 - 5) and (347 - 7)

HCF of (204 and 340)

204 = 2 × 2 × 3 × 17

340 = 2 × 2 × 5 × 17

HCF will be 2 × 2 × 17 = 68, according the option, 17 is the correct answer.

∴ 17 is the greatest number when divide 209 and 347 leaves remainder 5 and 7 respectively.

Given:

Average protein diet per day = 60 mg

30 percent of people doubled their protein diet.

The rest (70 percent) tripled their protein diet.

New average protein diet = 155 mg/day

Concept Used:

Weighted average and basic algebraic operations.

Calculation:

Let the number of people be N

Let the earlier average protein diet of 30 percent of the people be P mg.

The total earlier protein diet for 30 percent of the people = 0.3N ×  P

The total earlier protein diet for 70 percent of the people = 0.7N × Q, where Q is the earlier average

protein diet of 70 percent of the people.

The total earlier protein diet = 60N mg (since the overall average was 60 mg/day

The new total protein diet for 30 percent of the people = 2 × 0.3N × P

The new total protein diet for 70 percent of the people = 3 × 0.7N × Q

The new total protein diet = 155N mg (since the new overall average is 155 mg/day

Calculate the total earlier protein diet:

60N = 0.3N × P + 0.7N × Q

60 = 0.3P + 0.7Q     ----(1)

Step 2: Calculate the new total protein diet:

155N = 2 × 0.3N × P + 3 × 0.7N × Q

155 = 0.6P + 2.1Q  ----(2)

0.3P + 0.7Q = 60

0.6P + 2.1Q = 155

Multiply the first equation by 2:

0.6P + 1.4Q = 120

Subtract this equation from the second equation:

0.6P + 2.1Q - (0.6P + 1.4Q) = 155 - 120

0.7Q = 35

Q = 50

Substitute Q = 50 into the first equation:

0.3P + 0.7 × 50 = 60

0.3P + 35 = 60

0.3P = 25

P = 25/0.3 = 250/3 mg/day

∴ The correct answer is option (1).

Formula Used:

1. $\text{New step length} = \text{Original step length} \times (1 + \text{Percentage increase})$
2. Using the inverse proportionality: $\text{New number of steps} = \frac{\text{Original number of steps}}{\text{Factor of increase in step length}}$

Calculation:

Step length factor:

$\text{New step length factor} = 1 + 0.20 = 1.20$( \text{New number of steps} = \frac{90}{1.20} = 75 steps. \)

The new number of steps required to cover the same distance after increasing the step length by 20% is 75.

Calculation:

To determine how much the person invests, we need to find the total salary first using the given percentages.

Let  S  be the total salary.

According to Question 35% of the salary is spent on food, 30% of the salary is invested and The remaining amount is saved.

Since 35% is spent on food and 30% is invested, the remaining percentage is: 100% - 35% - 30% = 35%

We know the savings amount is Rs. 4340, which is 35% of the total salary.

0.35S = 4340

Solve for S

S = 4340/0.35 = 12400

Now, Calculate the investment:

The investment is 30% of the total salary = 0.30S = 0.30 × 12400 = 3720.

Hence, The Correct Answer is 3720.

Given:

A loss of 16% initially, and if the selling price is increased by Rs. 140, there is a profit of 24%.

Calculation:

Set up the relationship between the two selling prices, knowing the difference is Rs. 140:

Selling Price with Profit = Selling Price with Loss + 140

Cost Price × 1.24 = Cost Price × 0.84 + 140

Rearrange to solve for Cost Price:

 1.24CP - 0.84CP = 140 

 0.4CP = 140 

CP = $\frac{140}{0.4}$ = 350 

So, the cost price of the article is Rs. 350.

Concept use:

 selling price = cost price + profit

Calculation:

Determine the total cost of purchasing the mangoes:

Total cost = 50000 × 8  = 400000 Rs

Calculate the number of spoiled mangoes:

Number of spoiled mangoes = 20% of  50000 = 0.20 × 50000 = 10000

Calculate the number of remaining mangoes:

Number of remaining mangoes = 50000 - 10000 = 40000 

Determine the total cost price of the remaining mangoes:

The total cost remains the same as the initial purchase cost, i.e., 400000 Rs.

Calculate the desired total selling price to achieve a 30% profit:

profit = 30%  of  400000  = 0.30 × 400000 = 120000

 Desired total selling price = Total cost price + Desired profit = 400000 + 120000 = 520000 Rs

Calculate the selling price per remaining mango to achieve the desired total selling price: Selling price per mango = 520000/40000 = 13 Rs per mango

]

Given:

In a colony, the ratio of two-wheelers to four-wheelers is 11 ∶ 9. Among the four-wheelers, one-fourth are petrol and the remaining 81 are diesel.

Concept Used:

Use the concept of ratios and basic arithmetic operations to find the number of two-wheelers.

Formula Used:

1. The number of four-wheelers (F) can be expressed as $F = 81 \div (3/4)$
2. The number of two-wheelers (T) can be expressed as T = $\frac{11}{9} × F$

Calculation:

Given that three-fourths of the four-wheelers are diesel and that number is 81, we

$\frac{3}{4} × F = 81$

F = 81 × 4/3

F = 108

Use the ratio to find the number of two-wheelers:

The ratio of two-wheelers to four-wheelers is 11:9, thus:

T = 11/9 × 108

T =$\frac{11 × 108}{9}$

T = 132

So, the number of two-wheelers in the colony is 132.

Concept Used:

Use the concept of ratios and basic arithmetic operations to find the initial quantity of the mixture.

Calculation:

Let the initial quantity of the mixture be M litres.

The initial quantities of milk and water are:

Milk = 5M/9

Water = 4M/9

When 45 litres of the mixture are taken out, the quantities of milk and water taken out are:

Milk taken out = $\frac{5}{9} \times 45 = 25$litres

Water taken out =$\frac{4}{9} \times 45 = 20$ litres

Remaining milk = $\frac{5}{9} M - 25$ litres

Remaining water = $\frac{4}{9} M - 20$litres

After adding 15 litres of water:

New water quantity =$\frac{4}{9} M - 20 + 15 = \frac{4}{9} M - 5$ litres

According to the problem, the quantity of milk is 4 litres more than that of water:$\frac{5}{9} M - 25 = \frac{4}{9} M - 5 + 4$ ​$\frac{5}{9} M - 25 = \frac{4}{9} M - 1$ $\frac{5}{9} M - \frac{4}{9} M = 25 - 1$ $\frac{1}{9} M = 24$ $M = 24 \times 9$

M = 216

So, the initial quantity of the mixture is 216 litres.

The difference between CI and SI for 2 years is P(r/100)2

⇒ 42 = P(10/100)2

⇒ 42 = p × 1/00

⇒ P = 4200

∴ The  amount is Rs. 4200.

Shortcut Trick

Let Upstream speed be U and Downstream speed be D.

Case 1: 48/U + 56/D = 12 | Case 2: 60/U + 42/D = 13

By observation/HCF: If D = 14, then 56/14 = 4. So 48/U = 12 − 4 = 8 ⇒ U = 6.

Check in Case 2: 60/6 + 42/14 = 10 + 3 = 13 (Satisfied).

Speed of boat = (D + U) ÷ 2 = (14 + 6) ÷ 2 = 10 kmph.

∴ The correct answer is 10 kmph.

Alternate Method

Given:

Let speed of boat in still water = x kmph and speed of stream = y kmph.

Upstream speed (U) = x − y | Downstream speed (D) = x + y

Calculations:

⇒ 48/U + 56/D = 12 --- (i)

⇒ 60/U + 42/D = 13 --- (ii)

Multiply (i) by 3 and (ii) by 4 to eliminate 1/U:

⇒ 144/U + 168/D = 36

⇒ 240/U + 168/D = 52

Subtracting the equations:

⇒ 96/U = 16 ⇒ U = 96 ÷ 16 = 6 kmph

Substitute U = 6 in (i):

⇒ 48/6 + 56/D = 12 ⇒ 8 + 56/D = 12 ⇒ 56/D = 4 ⇒ D = 14 kmph

⇒ x = (D + U) ÷ 2 = (14 + 6) ÷ 2 = 10 kmph

∴ The correct answer is 10 kmph.

Additional Information

Speed of Boat and Stream

Speed of boat in still water (x) = (Downstream Speed + Upstream Speed) ÷ 2.

Speed of Current

Speed of stream/current (y) = (Downstream Speed − Upstream Speed) ÷ 2.

Relative Speed in Water

Downstream = x + y (with the flow); Upstream = x − y (against the flow).

Given:

Problem to solve: A beats B by 125 m in a kilometer race. Find B's speed if A's speed is 16 m/sec.

Concept Used:

Use the concept of relative speed and distance to calculate B's speed.

Formula Used:

1. Speed = Distance / Time

Calculation:

Step 1: Identify A's speed and the distance of the race:

A's speed (S_A) = 16 m/sec

Distance of the race (D) = 1000 m

Step 2: Calculate the time taken by A to finish the race:

Time taken by A (T_A) = D / S_A

T_A = 1000 m / 16 m/sec

T_A = 62.5 sec

Step 3: Determine the distance covered by B when A finishes the race:

Since A beats B by 125 m, the distance covered by B (D_B) = 1000 m - 125 m

D_B = 875 m

Step 4: Calculate B's speed:

B's speed (S_B) = Distance covered by B (D_B) / Time taken by A (T_A)

S_B = 875 m / 62.5 sec

S_B = 14 m/sec

So, B's speed is 14 m/sec.

Given:

Problem to solve: Three pipes can fill a tank of 900 liters in 1 hour. The rate of the first pipe is 3 liters per minute and the ratio of the rate of the second pipe to the third pipe is 3 ∶ 1. What is the time to fill an empty tank of 1500 liters when the first pipe and second pipe, work together?

Concept Used:

Use the concept of rate and work in basic arithmetic operations.

Formula Used:

1. Total rate of three pipes = Rate of first pipe + Rate of second pipe + Rate of third pipe
2. Work done (W) = Rate (R) × Time (T)

Calculation:

Step 1: Identify the rate of the first pipe:

Rate of the first pipe (R1) = 3 liters per minute

Step 2: Calculate the total rate of three pipes:

The tank is filled in 1 hour (60 minutes) and the tank's capacity is 900 liters.

Total rate of three pipes = 900 liters60 minutes900 liters60 minutes

= 15 liters per minute

Step 3: Let the rate of the second pipe be R2 and the rate of the third pipe be R3:

Given the ratio R2 : R3 = 3 : 1

So, R2 = 3R3

Step 4: Set up the equation for the total rate:

R1 + R2 + R3 = 15 liters per minute

3 + 3R3 + R3 = 15

3 + 4R3 = 15

Step 5: Solve for R3:

4R3 = 12

R3 = 3 liters per minute

Step 6: Calculate R2:

R2 = 3R3 = 3 × 3 = 9 liters per minute

Step 7: Determine the combined rate of the first and second pipes:

Combined rate of first and second pipes (R1 + R2) = 3 + 9 = 12 liters per minute

Step 8: Calculate the time to fill the 1500-liter tank:

Time (T) = Work(W)Rate(R)Work(W)Rate(R)

T = 1500 liters12 liters per minute1500 liters12 liters per minute

T = 125 minutes

So, the time to fill an empty tank of 1500 liters when the first pipe and second pipe work together is 125 minutes.

Given:

Problem to solve: If 10 persons can do a job in 20 days. Then 20 persons with twice the efficiency can do the same job in:

Concept Used:

Use the concept of work and efficiency in basic arithmetic operations.

Formula Used:

1. Work done (W) = Number of persons (P) × Number of days (D) × Efficiency (E)
2. The total work remains the same; only the number of persons and their efficiency changes.

Calculation:

Step 1: Identify the initial number of persons, days, and efficiency:

Initial number of persons (P1) = 10

Initial number of days (D1) = 20

Initial efficiency (E1) = 1

Step 2: Calculate the total work done (W):

W = P1 × D1 × E1

W = 10 × 20 × 1

W = 200 units of work

Step 3: Identify the new number of persons and their efficiency:

New number of persons (P2) = 20

New efficiency (E2) = 2 (twice the initial efficiency)

Step 4: Let the number of days taken by the new persons be D2.

We know that the total work remains the same (W):

W = P2 × D2 × E2

200 = 20 × D2 × 2

Step 5: Solve for D2:

200 = 40 × D2

D2 = 2004020040

D2 = 5 days

So, 20 persons with twice the efficiency can do the same job in 5 days.

Explanation -

1. Initial Volume of the Cylinder:

The volume V of a cylinder is given by the formula: V = πr²h

where r is the radius of the base and h is the height of the cylinder.

2. Change in Diameter:

The diameter is reduced by $33\frac{1}{3} \%$ .

This fraction in decimal form is:

$33\frac{1}{3} \% = 33.3333\% = \frac{1}{3}$

Therefore, the new diameter is:

new diameter = original diameter ×$\left(1 - \frac{1}{3}\right)$

= original diameter × 2/3

Since the radius is half of the diameter, the new radius r_new  is:

r_new  = new diameter / 2 = (original diameter × 2/3 ) / 2  = r × 2/3

3. Change in Height:

The height is doubled, so the new height h_new is: h_new = 2h

4. New Volume of the Cylinder:

Substituting the new radius and height into the volume formula, we get:

V_new = $π (r_{\text{new}})^2 h_{\text{new}} = π \left(r × \frac{2}{3}\right)^2 (2h)$

Simplify the equation:

$V_{\text{new}} = π \left(\frac{2}{3}\right)^2 r^2 × 2h$

= $π \frac{4}{9} r^2 × 2h = π \frac{8}{9} r^2 h$

Thus, the new volume V_new is:

V_new = 8/9 V

where V is the original volume.

5. Percentage Change in Volume:

The percentage change in volume is given by:

Percentage change =$\left(\frac{V_{\text{new}} - V}{V}\right) × 100\%$

Substituting V_new = 8/9 V :

Percentage change =$\left(\frac{\frac{8}{9} V - V}{V}\right) × 100\%$

= $\left(\frac{\frac{8}{9} V - \frac{9}{9} V}{V}\right) × 100\%$

Percentage change} = $\left(\frac{\frac{8}{9} V - \frac{9}{9} V}{V}\right) × 100\%$

= $\left(\frac{-\frac{1}{9} V}{V}\right) × 100\%$

Percentage change} = $-\frac{1}{9} × 100\%$

= - 100/9 % = $-11\frac{1}{9}\%$

So, the volume of the cylinder decreases by $11\frac{1}{9}\%$ .

Therefore, the correct answer is Decrease by $11 \frac{1}{9}$ percent.

Explanation -

1. Dimensions of the Mobile:

Length (L) = 10 cm

Breadth (B) = 4 cm

Thickness (T) = 0.5 cm

2. Surface Area of the Open Case:

An open case means it has no top cover. The case will have:

1 base (bottom)

2 sides (left and right)

2 sides (front and back)

Let's calculate the area of each part:

Base:

Area of Base = L × B = 10 x 4 = 40 cm²

Two Sides (left and right):

Area of One Side = L × T = 10 × 0.5 = 5 cm²

Area of Two Sides = 2 × 5  = 10 cm²

Two Sides (front and back): 

Area of One Side = B × T = 4 × 0.5 = 2 cm²

Area of Two Sides = 2 × 2 = 4 cm²

3. Total Surface Area:

Total Surface Area = Area of Base + Area of Two Sides (left and right) + Area of Two Sides (front and back)

Total Surface Area = 40  + 10 + 4  = 54 cm²

4. Cost of the Silver Sheet:

The rate of the silver sheet is Rs. 50 per cm².

Cost = Total Surface Area × Rate per cm² 

= 54  × 50 

= 2700 Rs

So, the cost of the silver case is Rs. 2700.

Explanation -

Bank C Calculation

1. Principal Amount: P = 600,000  
2. Rate of Interest: For 500,000 to 999,999 , the rate is 5% per annum.
3. Time: n = 2 years

The formula for compound interest is: $A = P \left(1 + \frac{r}{100}\right)^n$

For Bank C:

$A_C = 600,000 \left(1 + \frac{5}{100}\right)^2$

$A_C = 600,000 \left(1.05\right)^2$

A_C = 600,000 ×  1.1025

AC = 661,500

The interest earned from Bank C is: Interest_C = A_C - P 

= 661,500 - 600,000 = 61,500

Bank F Calculation

1. Principal Amount: P = 200,000  
2. Rate of Interest: For 100,000 to 499,999 , the rate is 6% per annum.
3. Time: n = 2 years

For Bank F:

$A_F = 200,000 \left(1 + \frac{6}{100}\right)^2$

$A_F = 200,000 \left(1.06\right)^2$

A_F = 200,000 × 1.1236 = 2,24,720

The interest earned from Bank F is:

Interest_F = A_F - P 

= 224,720 - 200,000 = 24,720 

Total Interest Earned

Total Interest = Interest_C + Interest_F 

Total Interest = 61,500 + 24,720 = 86,220 

Therefore, the total interest earned from both banks is 86,220.

Calculation:

Hindi news paper readers during January = (140 × 65)/100 = 91

Hindi news paper readers during February = (150 × 70)/100 = 105

Hindi news paper readers during March = (130 × 40)/100 = 52

English news paper readers during April = 90 - [(90 × 75)/100 = 67.5] = 22.5

English news paper readers during May = 110 - [(110 × 50)/100 = 55] = 55

English news paper readers during May = 80 - [(80 × 80)/100 = 64] =16

Hindi news paper readers during January, February and March together = 91 + 105 + 52 = 248

English news paper readers during April, May and June together = 22.5 + 55+ 16 = 93.5

Difference = 248 - 93.5 = 154.5 = 154.5 × 1000 = 154500

The correct answer is "The Delhi Government and the students has". 

Key Points

• Subject-verb agreement means the subject and verb must agree in number.
• This means if the subject of the sentence is singular, then the verb must also be singular.
• Conversely, if the subject is plural, the verb should also be plural.
• In the sentence given, the subject is actually plural: "The Delhi Government and the students".
• Here, we have two entities, "The Delhi Government" and "the students", combined by the conjunction "and", that are acting in the same way, so the verb that follows should adhere to the rule of plural subject agreement.
• The verb provided in the sentence is "has", which is singular.
• This creates disagreement in the sentence, violating the rule of subject-verb agreement.
• The correct verb to use here is "have", which is plural and agrees with the plural nature of our compound subject.
• The corrected sentence should read: "The Delhi Government and the students have contended that the single judge's decision was based on incorrect facts."

Therefore, the correct answer is "Option 1".

The correct sentence is "No Error". 

Key Points

• The sentence "A quick analysis suggests that the sources that contribute to poor urban air quality are constant." appears to be grammatically correct.
• Within this sentence:
• "A quick analysis suggests that" sets up a claim that is being asserted based on a brief examination.
• "The sources that contribute to poor" provides more information on what this analysis pertains to, i.e., the origins contributing to a negative aspect.
• "Urban air quality are constant." completes the claim made at the beginning of the sentence, implying that the contributing factors to poor urban air quality remain the same and are persistent.
• "Air quality" is a commonly used compound noun, and it's used correctly in this sentence.
• After analyzing the above information it is clear that the correct answer is "Option 4".

The correct answer is "two hours earlier". 

Key Points

• The error in the sentence is in the usage of the word 'earliest.'
• When comparing two entities – in this case, the time of sunrise in Arunachal Pradesh and Gujarat – the correct comparative form of 'early' should be 'earlier,' not 'earliest.'
• 'Earliest' is the superlative form of 'early' and is used when comparing more than two entities.
• However, in this context, we are only comparing two regions: Arunachal Pradesh and Gujarat.
• Taking this into account, the correct sentence should be: "The sun rises two hours earlier in Arunachal Pradesh as compared to Gujarat."

Therefore, the correct answer is "Option 1".

The correct answer is "what little money I had". 

Key Points

• The phrase in brackets, "what few money I had," is incorrect because "few" is used with countable nouns, while "money" is an uncountable noun.
• Looking at the options:
• "The few money I had" - As mentioned above, "few" is used with countable nouns, so this option is incorrect.
• "What less money I had" - While "less" is used with uncountable nouns, the phrasing "what less money I had" is awkward and not grammatically correct in standard English.
• "What little money I had" - This phrasing is correct. "Little" is used with singular uncountable nouns when the amount is low, which fits in this case.
• Therefore, the correct sentence should read: "I gave the countryman what little money I had in my pocket for the timely assistance he had afforded me."

Hence, the correct answer is "Option 3".

The correct answer is "than". 

Key Points

• The sentence is making a comparison between the resources needed by emperors and kings.
• Whenever a comparison is made between two entities in English, we use the conjunction 'than'.
• The use of 'than' is appropriate in this context because it correctly sets up a comparison between the resources of the two distinct entities, emperors and kings.
• The conjunction 'than' is used to introduce the second part of an unequal comparison.
• For example, 'I am taller than you'.
• In this case, saying 'Emperors need more resources than kings' rightly communicates that emperors require more resources in comparison to what kings require.

Therefore, the correct answer is "Option 2".

 Additional Information

• Let's break it down:
• 'of' - The preposition 'of' is usually used to indicate a relationship or possession between two entities.
• For example, 'the color of the sky'.
• So, in this context, saying 'Emperors need more resources of kings', wouldn't make sense as it can confuse the reader, making it look like emperors possessions belonging to kings.
• 'as' - The conjunction 'as' is usually used for making comparisons of equality.
• For example, 'He is as tall as his brother'.
• Saying 'Emperors need more resources as kings', would be incorrect because 'as' should be used to equate things, not when one thing is more than another.
• 'for' - The preposition 'for' is used to indicate a purpose or a reason.
• Saying 'Emperors need more resources for kings', would change the meaning of the sentence, implying that the resources for Emperors are actually meant for kings.

The correct answer is "deep, helps'.

Key Points

• The correct answer to the sentence "The higher faculty is a ________ insight or intuition that ________ us experience the ocean of Consciousness" is "deep, helps".
• Let's break down the sentence and the options:
• First, we are looking for a word to fill in the first blank.
• This word needs to be an adjective to describe 'insight'.
• The adjective 'deep' in option 3 is suitable because it effectively describes the kind of insight or understanding the sentence is talking about i.e., profound or intense.
• The second blank requires a verb to link 'insight' and 'us', and moreover, this verb needs to agree with a singular subject.
• The verb 'helps' in option 3 does exactly this.
• When 'that' is used as a relative pronoun referring back to a singular noun, it requires a singular verb.
• Here, 'that' refers back to 'insight or intuition', considered as a single conceptual entity, and so the singular verb 'helps' is required.

Therefore, the correct answer is "Option 3".

Additional Information

• Now, let's examine the other options:
• 'Deep, help': While 'deep' is correct, 'help' is in its plural form, so it doesn’t match with the singular subject 'that'.
• 'Deeply, helping': 'Deeply' is an adverb which is incorrect as we need an adjective 'deep' to describe the noun 'insight'.
• ​The use of present participle 'helping' is also inappropriate in this context.
• 'Deeply, helps': Again, 'deeply' is incorrect as we need the adjective 'deep'.
• ​Although the verb 'helps' is correct, the incorrect use of the adverb 'deeply' instead of the adjective 'deep' means this option is wrong.

The correct answer is "designed". 

Key Points

• The sentence in question is: "Baroque temple ______ by the Scottish architect."
• The phrase requires a verb that accurately represents an action that a Scottish architect could perform concerning a Baroque temple.
• In architectural contexts, 'design' refers to the process of creating detailed plans or drawings for constructing a building or structure.
• Architects are primarily responsible for designing buildings.
• Therefore, 'designed' represents an appropriate and plausible action that a Scottish architect could take regarding a Baroque temple.

Thus, the correct answer is "Option 1".

Additional Information

• 'conducted' - This verb is often used in the context of conducting a meeting, a survey, or a group of musicians, etc.
• It doesn't fit properly in this context, as architects do not 'conduct' temples.
• 'rewarded' - This verb is used when someone is given something in return for effort, achievement or hard work.
• An architect cannot 'reward' a temple because a temple is an inanimate structure and cannot receive rewards.
• 'crowded' - This verb is used to express a large number of people being gathered closely together.
• An architect does not 'crowd' temples.

The correct answer is "PRSQ".

Key Points

• The most logical sequence of the sentences in the passage is:
• S1. Jeff is an excellent dancer P. who always tries new dance steps R. that are demonstrated S. and masters them quickly Q. while the rest of the class struggles S6. to move their bodies on the tunes.
• So, the correct sequence of the sentences is PRSQ, which corresponds to answer option 4.
• Here's the reasoning behind that:
• P (who always tries new dance steps) elaborates on S1 (Jeff is an excellent dancer) by explaining what Jeff does (trying new dance steps).
• Then, R (that are demonstrated) adds to P, specifying what dance steps Jeff tries (the ones that are demonstrated).
• S (and masters them quickly) continues the flow by describing how adeptly Jeff does this (he masters them quickly).
• Finally, Q (while the rest of the class struggles) contrasts Jeff's skill with the rest of the class before concluding with S6 (to move their bodies on the tunes).
• This "PRSQ" the correct and most logical sequence.

Therefore, the correct answer is "Option 4".

The correct answer is: Option 2 i.e. Gloomy.

Key Points

• The word "grim" means very serious or gloomy. (विकट, गंभीर)
• Example: The news of the disaster painted a grim picture of the future.
• "Gloomy" means dark or poorly lit, especially so as to appear depressing or frightening. (उदास, अंधकारमय)
• Example: It was a gloomy day with dark clouds and rain.

Therefore, the most appropriate synonym for "grim" is Option 2 i.e. Gloomy.

Additional Information

Here are the other options explained along with their Hindi meanings and why they are not suitable:

• Cheerful (प्रसन्न): Noticeably happy and optimistic.
• Example: She has a cheerful personality that brightens up the room.
• Bluff (धोखा देना): An attempt to deceive someone into believing that one can or will do something.
• Example: It was just a bluff; he didn't actually have any proof.
• Peevish (चिड़चिड़ा): Easily irritated, especially by unimportant things.
• Example: Her peevish nature was well-known among her colleagues.

The correct answer is "Compliment". 

Key Points

• Grumble means to complain or protest about something in a bad-tempered but typically muted way. (बड़बड़ाना)
• Example: She often grumbles about her work environment being too stressful.
• The correct antonym, compliment, refers to a polite expression of praise or admiration. (प्रशंसा)
• Example: He received a compliment from his boss for his excellent performance.
• Therefore, the correct answer is "Option 2".

Additional Information

• Complain (शिकायत करना): Express dissatisfaction or annoyance about something.
• Example: The customers complain about the poor service at the restaurant.
• Dangle (लटकना): Hang or swing loosely.
• Example: The earrings dangled from her ears.
• Calamity (आपदा): An event causing great and often sudden damage or distress; a disaster.
• Example: The earthquake was a great calamity for the city.

The correct answer is "Potraite".

Key Points

• Let's look at the options:
• "Pageant": This is correctly spelled.
• A pageant is a public entertainment consisting of a procession of people in elaborate, colorful costumes, or an outdoor performance of a historical scene.
• "Pamphlet": This is also correctly spelled.
• A pamphlet is a small booklet or brochure that provides information or arguments about a single subject.
• "Persevere": This, too, is correctly spelled.
• To persevere means to continue in a course of action even in the face of difficulty or with little or no prospect of success.
• "Potraite": This word is spelled incorrectly.
• The correct spelling is "Portrait", which refers to a painting, drawing, photograph, or engraving of a person, often capturing the face and its expression.
• So, among these 4 options, the word "Potraite" is incorrectly spelled, and the correct spelling is "Portrait".

Therefore, the correct answer is "Option 4".

The correctly spelled word among the given options is "Administrator".

Key Points

• Let's us look at the options:
• "Administratur": This word is incorrectly spelled.
• The correct spelling is "Administrator", describing a person responsible for running a business, organization, etc.
• "Administrater": This spelling is also incorrect.
• The correct form of the word is "Administrator".
• "Administrator": This spelling is correct.
• An administrator is a person who manages and organizes the affairs of a business, institution or other organization.
• "Aministretor": This is not a correctly spelled word.
• The correct spelling should be "Administrator".
• So, among these 4 options, the correctly spelled word is "Administrator".

Therefore, the correct answer is "Option 3".

The correct answer is "very rarely". 

Key Points

• "Very rarely": This term is the best fit for "Once in a blue moon."
• ​A blue moon is an event that happens infrequently, so the idiom "Once in a blue moon" is typically used to describe something that occurs very rarely.

Therefore, the correct answer is "Option 2".

Additional Information

• "Occasionally": While this term does mean something happening infrequently, "Once in a blue moon" is used for something that happens even less frequently than what is generally considered occasional.
• "Frequently": This is the opposite of what "Once in a blue moon" means.
• Frequent events happen often, while a blue moon is a rare occurrence.
• "Incessantly": This term, which means without interruption or constantly, is also opposite to "Once in a blue moon."

The correct answer is "A shocking revelation".

Key Points

• "A shocking revelation": This phrase is the best fit for "An eye opener."
• ​When something is an 'eye opener,' it provides you with a new, surprising insight or perspective that you were previously unaware of.
• Therefore, it can be considered a shocking or surprising revelation.

Hence, the correct answer is "Option 1".

Additional Information

• "A small opening": This is not the correct interpretation of the idiom.
• Even though the idiom contains the word 'opening,' in this context it does not refer to a physical opening but to a metaphorical one – a new understanding or realization.
• "A difficult task": This option does not fit the meaning of "An eye opener."
• The idiom doesn't typically relate to the difficulty of a task.
• "A tough decision": While tough decisions might sometimes lead to an 'eye-opening' moment, the phrase "an eye opener" doesn't specifically refer to decision-making scenarios.

The correct answer is "Defiance". 

Key Points

• The phrase "Open refusal to obey orders" is synonymous with the word "Defiance".
• Defiance means boldly resisting or challenging authority, and so it reflects the same concept as "Open refusal to obey orders".

Therefore, the correct answer is "Option 3".

Additional Information

• "Obedience": This word is the opposite of the given phrase.
• Obedience means to comply with someone's orders or commands.
• "Adherence": This is another word that is the opposite of the given phrase.
• Adherence means sticking to a plan, path, or set of rules.
• "Compliance": This word, like obedience and adherence, is also the opposite of the given phrase.
• Compliance means conforming to a rule, standard, or law.

The correct answer is "Plummer never won the Triple Crown of Acting."

Key Points

• The passage provides information about the various awards Arthur Plummer received.
• According to the passage, it states that Plummer won various awards for his work, which included an Academy Award, two Primetime Emmy Awards, two Tony Awards, a Golden Globe Award, a Screen Actors Guild Award, and a British Academy Film Award.
• It also states that he is one of the few performers to have received the Triple Crown of Acting.
• Given these details, the incorrect statement according to the passage is: Plummer never won the Triple Crown of Acting.
• This statement is the opposite of what is explicitly mentioned in the text, where Arthur Plummer is described as one of the few performers to have received the Triple Crown of Acting.

Therefore, the correct answer is "Option 4".

The correct answer is "Waterloo". 

Key Points

• The answer to the question "The character Arthur Wellesley belongs to which movie?" can be found within the text.
• It states that Arthur Plummer played the role of Arthur Wellesley, 1^st Duke of Wellington in the movie titled "Waterloo."
• So, the correct option is: Waterloo

Therefore, the correct answer is "Option 1".

Additional Information

• This chosen option nullifies the other ones including "The Exception," "The New World," and "A Beautiful Mind."
• According to the text, Arthur Plummer did not play the role of Arthur Wellesley in these films, hence these choices are incorrect.
• 'Waterloo' is the film in which this character has been portrayed by Plummer, as stated in the passage.

The correct answer is "Quebec". 

Key Points 

• The answer to the question "Arthur Plummer was born in Canada but he grew up in" is provided in the passage where it clearly states that Plummer was born in Toronto, Ontario, Canada, and grew up in Senneville, Quebec.
• So, the correct option is: Quebec

Therefore, the correct answer is "Option 2".

Additional Information

• This information invalidates the remaining options.
• "Mongolia", "Toronto", and "Hong Kong" are incorrect as they do not match the information provided in the text.
• Specifically, the passage does not specify any association of Plummer growing up in "Mongolia" or "Hong Kong".
• And even though Toronto is mentioned as his birthplace, it's not where he grew up, hence option 3 "Toronto" is not correct as well.