DSSSB TGT Social Studies Female 9 Oct 2021 (Shift 2) (Previous Year Paper)

According to the given information :

• A boy walks 5 km south. He turns towards the east and walks 15 km.
• He turns to the left and walks 2 km turns towards the west and walks 7 km.
• Finally, he turns to the left and walks 3 km.

Now, the Distance between the Start point and the Endpoint is given by:

Now,

Distance between AF is calculated by using Pythagoras' theorem:

→ (AF)2 = (AG)2 + (GF)2 

→ (AF)2 = (6)2 + (8)2 

→ (AF)2 = 36 + 64

→ (AF)2 = 100

→ (AF) = 10

Thus, the man is '10 km' far from the starting point.

Hence, the correct answer is "10 km".

According to the diagram scooters that are neither car nor jeep are highlighted below,

Total number of scooters that are neither car nor jeep = 15 + 4 + 2

= 15 + 6

= 21

Hence, the correct answer is '21'.

According to the given information,

A team of seven members is to be selected among five boys B1,B2, B3, B4, and B5 and five girls G1, G2, G3, G4, and G5.

Case A:

• B4 and G3 have to be selected together.
• B2 and B3 have to be selected together.

Possible cases:

Case B:

• G5 and B3 have to be selected together.
• G2 and B4 have to be selected together.

Possible cases:

Case C:

• G1 and G4 cannot be selected together.
• B1 cannot be selected with G1 or G5.

Possible cases:

Now, Case III 'A' and Case III 'B' has a team of seven members.

Case III 'A' → B4 G3 B2 B3 G5 G2 G1 or G1, G2, G3, G5, B2, B3, B4

Case III 'B' → B4 G3 B2 B3 G5 G2 G4 or G2, G3, G4, G5, B2, B3, B4

Clearly, according to the given options team members **'**G1, G2, G3, G5, B2, B3, B4' can be selected.

Hence, the correct answer is "G1, G2, G3, G5, B2, B3, B4".

positional values 

Alphabet positional value:

In DF : FE

sum of DF = 4 + 6 = 10

sum of FE = 6 + 5 = 11

According to this the logic is: Sum of positional values of second alphabet pair = Sum of positional values of first alphabet pair + 1

Now sum of PT = 16 + 20 = 36

so that must be 37,

Option 1) QS = 17 + 19 = 36

Option 2**) QU** = 17 + 21 = 38

Option 3**) RU** = 18 + 21 = 39

Option 4) RS = 18 + 19 = 37

Therefore, the correct answer is 'RS'.

Statements:

I. All A are C.

II. No A is Q.

The least possible diagram for the given statements:

Conclusions:

I. Some Q are not C → False (It seems to not follow the statements as it is never stated whether some Q are C or not.)

II**.** Some C are not Q  → True (It follows the given statements as All A are C and No A is Q thus It means that some C are not Q.)

hence, 'Only Conclusion II follows.'

According to the given information:

• ​​A man starts walking towards the east and walks 15 metre.
• He turns to the right and walks 10 metre. He turns towards north and walks 20 metre.
• He turns to the left and walks 25 metres.
• He turns towards east and walks 13 metres.
• Finally, he turns to the right and walks 6 metre.

Now, the Distance between the Start point and the End point is given by:

Now,

Distance between AG is calculated by using Pythagoras theorem:

→ (AG)2 = (AH)2 + (HG)2 

→ (AG)2 = (3)2 + (4)2 

→ (AG)2 = 9 + 16

→ (AG)2 = 25

→ (AG) = 5

Clearly, the man is '5 metres North-East' far from the starting point.

Hence, the correct answer is "5 metres North-East".

According to the question,

Now,

D = C > F > G

• D is the brother of C

• C is the daughter of F

• F is the daughter of G

• As, the gender of G is not mentioned, thus G can be either male or female.

Thus, D is son of F.

Hence, the correct answer is 'Son'.

In the given question, 

Race ∶ Track 

The logic here is: Race is a game and Track is a facility build to do race.

means Game : Facility

In the given options,

Option 1) Ground ∶ Hockey  

Here 1^st relation is Facility and 2^nd relation is Game thus not in the logic provided by question.

Option 2) Boxing ∶ Rink  

Here 1^st relation is Facility and 2^nd relation is Game thus not in the logic provided by question.

Option 4) Pitch ∶ Cricket  

Here 1^st relation is Facility and 2^nd relation is Game thus not in the logic provided by question.

Option 3) Tennis ∶ Court

It confirms the logic of the question that is Game : Facility.

Hence, the correct answer is 'Tennis ∶ Court'.

Statement I. The number of factory which are not school is 73. 

According to the diagram,

Total number of factory which are not school = 31 + 42 

= 73

Hence, 'The statement I is correct'.

Statement II. The number of school which are office is 30.

According to the diagram,

Total number of school which are office = 41

Thus, 'Statement II is not correct'.

Hence, only 'statement I is correct'.

In the given question,

Statements:

I. Some A are D.

II. Some D are B.

II. No B is C.

The least possible diagram for the given statements is as follows :

Conclusions:

I. Some A are B → False (Because no direct relation between A and B, so it is possible but not definite)

II. Some D are not C → True (Because 'Some D are B' and 'No B is C', so some D that are B are not C, thus it is definitely true)

III. Some C are not D → False (Because no direct relation between C and D, so it is possible but not definite)

Hence, the correct answer is "Only conclusion II follows".

According to the given information, the logic here is,

As Two opposite faces are never together or adjacent to each other,

Thus,

There is a pattern in which unfolded dice occur opposite to each other.

Now,

option (1) → 5, 6, and 4 are adjacent. Thus it is can be made.

option (2) → 3, 6, and 1 are adjacent. Thus it is can be made.

option (3) → 3, 2, and 1 are adjacent. Thus it is can be made.

option (4) → 2, 3, and 5 are adjacent, but here 5 should be the bottom side of 2 for forming the cube. So, this cube can't be formed.

Thus, 'I, ll, and III' cubes can be made.

Hence, the correct answer is "I, ll, and  III".

Mistake Points 5 can not be placed at the right side of 2 in the cube, so Cube IV can not be made from the given open dice.

Let us check each option:

1. Orange = A fruit.

2. Mango = A fruit.

3. Pomegranate = A fruit.

4. Ladyfinger = A Vegetable.

Thus, Ladyfinger is an odd word as others are fruit but it is a vegetable.

Hence, the correct answer is 'Option 4'.

As per the given information,

Seven girls G1, G2, G3, G4, G5, G6 and G7 sit around a circular table facing towards the center (not necessarily in the same order).

1. Two girls sit between G1 and G3.

There are two possibilities:

2. G1 sits third to the right of G5.

Here, Case II will be eliminated as it contradicts the given statement.

3. G7 sits second to the left of G2.

• One girl sits between G3 and G6.

Now,

I. Two girls sit between G5 and G7. → False (because only one girl sits between G5 and G7)

II. G3 sits to the immediate left of G4. → False (because G3 sits to the immediate right of G4)

Hence, the correct answer is "Neither I nor II".

The logic follows here is : 

Thus, the missing term is 'EHP'.

Hence, the correct answer is "EHP".

The logic follows here is : 

• ‘QUENAS'’ is written as ‘PDKHRT’

Similarly,

• ‘RADIUM’ will be written as:

Hence, the correct answer is "JXFGXU".

Decoding the given information :

On checking each option and replacing the sign from left to right and using the BODMAS rule, we get:

1) 80 ÷ 16 × 84 + 4 - 12 = 82  

⇒ 80 - 16 + 84 × 4 ÷ 12 = 82

⇒ 80 - 16 + 28 = 82

⇒ 108 - 16 = 82

⇒ 92 ≠ 82

2) 120 × 36 ÷ 25 - 15 + 45 = 81  

⇒ 120 + 36 - 25 ÷ 15 × 45 = 81

⇒ 120 + 36 - 75 = 81

⇒ 156 - 75 = 81

⇒ 81 = 81

3) 60 - 12 + 25 × 16 ÷ 8 = 133  

⇒ 60 ÷ 12 × 25 + 16 - 8 = 133  

⇒ 5 × 25 + 16 - 8 = 133  

⇒ 125 + 16 - 8 = 133  

⇒ 141 - 8 = 133 

⇒ 133 = 133 

4) 60 + 16 - 24 ÷ 48 × 96 = 88 

⇒ 60 × 16 ÷ 24 - 48 + 96 = 88 

⇒ 40 - 48 + 96 = 88 

⇒ 136 - 48 = 88

⇒ 88 = 88

Hence, the correct answer is Option (1).

The logic follows here is :

A new symbol (letter, number or sign) is added to the left of the previous symbol in each successive figure.

Figure A to Figure B→

Figure A has a 'P' letter at the bottom left corner.

In Figure B a new symbol, 'O' is added to the left of 'P'.

Figure B to Figure C→

Figure B has two letters 'O' and 'P'.

In Figure C a new symbol, '=' is added to the left of 'O'.

Figure E→

Figure E has five symbols 'O', 'P', '=', '3', and a 'triangle' symbol which means the previous figure i.e.Figure E will have '3' as a new symbol.

Similarly,

Figure C to Figure D→

Figure C has three symbols 'O', 'P', and '='.

In Figure D a new symbol, '3' will be added to the left of '=' and the 'P' symbol will move vertically upwards.

So, the figure that will replace the question mark (?) in the following figure series is shown below :

Hence, the correct answer is "option 1".

The arrangement of all the given words in the order in which they appear in an English dictionary is as shown below:

The two letters G and A are common in the given words, so we will start arranging the word from the third letter in alphabetical order.

3. GABLED
4. GADFLY
5. GAGERS
6. GAINER
7. GALAHS

Hence, the correct answer is "32145".

According to the given information,​

• From figures 2^nd and 3^rd, '6' is common.

Now, when we take the clockwise direction from '6' in figures 2^nd and 3^rd respectively, we get

1. In figure 2^nd, moving in the clockwise direction from 6 we have '2' and '1' respectively.
2. In figure 3^rd, moving in the clockwise direction from 6 we have '3' and '5' respectively.

​Therefore, we have

Thus,

• 4 is opposite to 6.
• 2 is opposite to 3.
• 1 is opposite to 5.

​

As 4 is the opposite of 6.

Hence, the correct answer is "4".

The logic follows in the given problem is:

In a Row:

• (First number × Second number)  + 2 = Third number

​Row I [16 4 66]

→ (16 × 4) + 2 = 64 + 2 = 66 = Third number

​Row II [22 3 68]

→ (22 × 3) + 2 = 66 + 2 = 68 = Third number

​Row III [36 2 ?]

→ (36 × 2) + 2 = 72 + 2 = 74 = Third number

​Thus, the missing term is '74'.

Hence, the correct answer is "74".

The correct answer is Both I and II.

Key Points

• Rainwater causes lakes to form naturally, which then dry up over the summer and such lakes are known as natural lakes.
• Natural lakes offer an important source of water for drinking, farming, fishing, and leisure activities.
• They are commonly found in mountainous regions, rift zones, and glacial regions.
• Bhimtal Lake located in the Bhimtal town of Nainital city is a natural lake in India and is also the largest lake in the Kumaon region.
• It got its name with reference to the Bhima of the epic Mahabharata.
• Bhimtal Lake is at an elevation of 4,511 feet (or 1,375 m) and has a gross water storage capacity of 4.63 million cubic meters.
• Some other natural lakes in India are Dal Lake, Chilika Lake, Pushkar Lake, Loktok Lake, and Vembanad Lake.

Additional Information

• Artificial lakes are commonly known as reservoirs and refer to lakes artificially made by humans.
• In order to create artificial lakes, a portion of a river is frequently diverted and then the water is stored in a reservoir behind a dam.
• Gobind Sagar Lake, located in Bilaspur, Himachal Pradesh is not a natural lake but an artificial lake.
• The Gobind Sagar Lake on the Sutlej River is named in honour of Gobind Singh, the Tenth Sikh Guru, and was created by the enormous hydroelectric dam at Bhakra.
• The Gobind Sagar Lake is associated with the river valley project named Bhakra Nangal Project.
• This reservoir protects damage from monsoon floods by holding back extra water during the monsoon, allowing a controlled release throughout the year, and keeping the dam from overflowing.
• Some other artificial lakes in India are Bhojtal Lake, Hussain Sagar Lake, Jaisamand Lake, and Chembarambakkam Lake.

The correct answer is Kerala.

Key Points

• The annual Makaravilakku celebration takes place at the Sabarimala shrine in Kerala, India, on Makara Sankranti.
• The Thiruvabharanam procession and a gathering at Sabarimala's hill shrine are also part of the celebration.
• At the Sabarimala Temple in Kerala, on the 14^th of January, Makara Sankranti, the star known as Makara Jyothi is venerated by throngs of pilgrims. It is thought that the god Ayyappan manifests as Makara Jyothi to bless his followers.
• On the Ponnambalamedu hill, four kilometres from the temple, a light known as Makaravilakku makes three appearances.
• So, makara jyothi refers to the sirius star while makaravilakku refers to the arathi performed on makara sankranthi.

Additional Information

• Makara is an Indian astrological star sign, referred equivalent to the zodiac sign, Capricorn. Also, the Sanskrit word "Jyothi" means  "light" in English.
• So, Makara Jyoti, literally means "Light of Capricorn":
• Formerly, tribesmen would do a pooja at Ponnambalamedu hill on the day of the makarajyothi. Currently, the Travancore Devosom Board and the Forest Department assist the Kerala government in carrying it out.
• According to the beliefs, it is said that on the day of Makara Vilakku, Lord Dharmasasta ceases his tapas to bless his followers and to see this procedure in person on this day, an estimated 500,000 worshippers travel to Sabarimala each year.

The correct answer is Only I.

Key Points

• The pH value of vinegar, a mild acid, is about 2.6.
• Vinegar is an aqueous form of acetic acid that includes 5-8% acetic acid.
• As vinegar is a compound that dissolves between 5% and 8% of acetic acid in water, vinegar is an aqueous solution of acetic acid.
• In the presence of the acetobacter enzyme, ethyl alcohol is fermented to produce vinegar. In the food industry, ethanoic acid is used to make vinegar.
• Vinegar has various purposes around the house, including cleaning, cooking, and laundry. In order to prevent the growth of bacteria and fungi in silage, farmers typically spray acetic acid on it.

Additional Information

• Seven covalent bonds make up the chemical structure of ethane ($C_{2}H_{6}$): 6 bonds between C and H, and one bond between C and C.
• In order to create six carbon-hydrogen covalent bonds, each of the six hydrogen atoms will share one electron with carbon.
• To create a covalent bond between the two carbon atoms, each will share its single electron.
• In order to make ethanol, acetaldehyde, and acetic acid, which are used in paints, varnishes, adhesives, plastics, etc., ethane is required.
• Ethane is used as the most precise  for the study of lipid peroxidation, it is also utilised to make ethylene used in making antifreeze, plastics, and to ripen fruits.

The correct answer is 6.

Key Points

• Fundamental rights are the fundamental human rights that are guaranteed to every citizen of India and are enshrined in the Indian Constitution.
• They are applied without regard to factors such as ethnicity, religion, or gender.
• There are six fundamental rights: Right to Equality, Right to Freedom, Right Against Exploitation, Right to Freedom of Religion, Cultural and Educational Rights, Right to Constitutional Remedies.
• Under some circumstances, courts can enforce fundamental rights. During a national emergency, fundamental rights may be suspended. However, Articles 20 and 21's guarantees of rights are unalterable.
• Sections of the Indian Constitution known as "Fundamental Rights, Directive Principles of State Policy, and Fundamental Duties" outline the fundamental duties and rights of citizens towards the state as well as the fundamental obligations of states to their citizens.

Additional Information

• The moral duties that all people have to sustain India's unity and foster a sense of patriotism are known as the Fundamental Duties.
• Both people and the country are affected by the fundamental duties outlined in Section IV-A of the Constitution. They are not enforceable by courts unless parliamentary law makes them so, similar to the Directive Principles.
• There are a total of 11 fundamental duties listed in the Constitution of India.
• In response to the recommendations of the Swaran Singh Committee, which was established by the government, the 42^nd Amendment to the constitution was passed in 1976, adding the Fundamental Duties of the citizens to Indian Constitution.

The correct answer is Japan.

Key Points

• A continental multi-sport competition between athletes from all over Asia is conducted every four years and is referred to as the Asian Games or Asiad.
• From the first games in New Delhi, India, until the Games in 1978, the Games were governed by the Asian Games Federation (AGF).
• Following the dissolution of the Asian Games Federation, they have been organized since the 1982 Games by the Olympic Council of Asia (OCA).
• The Asian Games are regarded as the second-largest multi-sport event after the Olympic Games and are recognized by the International Olympic Committee (IOC).
• Participation in the Games is open to all 45 members of the Olympic Council of Asia (OCA).
• The next Asian Games in 2026 will be hosted by Japan.
• Japan hosted the third and twelfth Asian Games, at Tokyo in 1958 and Hiroshima in1994, respectively.
• Japan  will host the Asian Games tournament for the third time when the 20^th Asian Games will take place in Aichi-Nagoya in 2026.

Additional Information

• The 2018 Asian Games, often referred to as Jakarta-Palembang 2018 or Indonesia 2018, were a continental multi-sport competition that took place in Jakarta and Palembang from August 18 to September 2, 2018. They were officially known as the 18^th Asian Games.
• For the first time, two regions jointly hosted the Summer Asian Games: Palembang, the capital of South Sumatra state, and Jakarta, the Indonesian capital.
• The COVID-19 epidemic has forced the postponement of the 2022 Asian Games, which were scheduled to be held in Hangzhou, China, from September 10 to 25.
• The Asian Games 2023 will be held at Hanzhou, China, between September 23, 2023, to October 8, 2023.
• The Asian Games have already been held twice in India at New Delhi. India hosted the first Asian Games in 1951 and the second time was in 1982.
• For the first Asian Games, which took place in 1951, India served as the host country.

The correct answer is Both I and II​

Key PointsMonopolistic Competition

• Large number of firms
• This is correct.
• Monopolistic competition involves many firms producing goods.
• The biscuit market example shows numerous firms with different brands and slightly different products.
• Free entry and exit of firms
• This is correct.
• Firms can easily enter or leave the market in monopolistic competition.
• New biscuit brands can enter the market, and existing ones can exit without major barriers.
• Products are not homogeneous
• This is correct.
• In monopolistic competition, products are differentiated.
• Biscuit brands differ in taste, packaging, and brand loyalty among consumers.

Additional Information

• Brand loyalty affects consumer choices
• Consumers may prefer a particular brand and not switch unless there is a significant price difference.
• However, if the price difference becomes large, consumers might switch to another brand.
• The degree of brand loyalty varies among consumers.
• Impact of price changes
• If the price of a particular brand is lowered, some consumers will switch to that brand.
• Further price reductions will lead to more consumers switching.

The correct answer is Rajasthan.

Key Points

• In February 2021, Rajasthan has launched a campaign to make the state "Begar - Free".
• Beggars were rehabilitated in Jaipur as part of a drive for a "beggar-free" Rajasthan, which has been launched by the Sopan Institute of Science, Technology and Management and Rajasthan Skill and Livelihoods Development Corporation (RSLDC).
• About 43 beggars from various states, including Uttarakhand, Uttar Pradesh, and Odisha, who were previously living in Jaipur, have been given access to a shelter home where yoga, sports, and computer classes are being provided to them.
• The government of Rajasthan has also agreed to give them 215 rupees every day, which they can save and use to fund their future business ambitions.

Additional Information

• The Bihar government ha d implemented programmes to give employment to beggars in the state by enticing them to stop begging and start businesses or serve as advocates for state government projects as part of the Bhikshavriti Nivaran Yojana, which is run by the state society for the extremely poor and aims to rid the state of beggars.
• The programme "Beggars Corporation" was conceptualised by Common Man Trust, a Varanasi NGO, in February 2021, and it was implemented in July. This organisation wants to make Varanasi a beggar-free city by 2023 by putting an emphasis on investment rather than philanthropy.
• Plans were made since 2018 to make Maharshtra 'Beggar free' state by the Charity Commissioner, Shivkumar Dige on rehabilitating about one lakh beggars in the state by providing employment and housing and thus, making the state 'beggar free'.

The correct answer is Harivansh Narayan Singh.

Key Points

• The Rajya Sabha, also known as the Council of States according to Indian law, is the upper house of the country's bicameral parliament.
• It can have a maximum of 245 members as of 2022, 233 of whom are elected by state and territorial legislatures using single transferable votes in open elections, and 12 of whom may be appointed by the president in recognition of their contributions to the arts, sciences, literature, and social services.
• Article 80 of the Indian Constitution specifies that the Rajya Sabha has a maximum seating capacity of 245.
• Members of the Rajya Sabha is not subject to dissolution, in contrast to the Lok Sabha, as it is a continuing chamber. However, the president has the authority to adjourn the Rajya Sabha, just like the Lok Sabha.
• The members of Rajya Sabha are elected to serve for six years and elections are held every second year.
• Since, 11 August 2022, the Vice President of India, Jagdeep Dhankar is the ex-officio chairman of Rajya Sabha.
• Since, 9 August 2018, the present deputy chairman of Rajya Sabha is Harivansh Narayan Singh.

Additional Information

• The President, Lok Sabha or the Lower House, and Rajya Sabha or the Upper House, make up the Indian Parliament. The House of People refers to the Lok Sabha, whereas the Council of States refers to the Rajya Sabha.
• The Indian Parliament adopted the names "Lok Sabha" and "Rajya Sabha" in 1954. In the Indian Constitution, the Indian Parliament is covered by Articles 79–122.
• Mallikarjun Kharge is the current leader of opposition in Rajya Sabha and has assumed office from 17 December 2022.
• Anand Sharma was the deputy leader of the opposition in Rajya Sabha till 2 April 2022.
• D. M.Venkaih Naidu was the 13^th Vice President of India and also served as the ex-officio chairman of the Rajya Sabha from 11 August 2017.

The correct answer is Speed = wavelength × frequency.

Key Points

• The distance that a point on a sound wave, like a compression or a rarefaction, travels in one unit of time is known as the speed of sound.
• Under identical physical circumstances, the speed of sound is constant across all frequencies in a particular medium.
• For all waves, the connection between a wave's frequency, wavelength, and speed is the same.
• The formula for the speed of sound can be given as: Speed = wavelength × frequency
• The separation between neighboring compressions or rarefactions is known as the wavelength of a sound.
• The frequency is the number of waves passing a spot in a given amount of time, and it is the same as the source's frequency.
• The speed of sound in dry air at a temperature of 20° C is found to be 343 m/s.

Additional Information

• Speed is defined as the ratio of distance to the amount of time it took to cover that distance. Due to its lack of magnitude and having only direction, speed is a scalar quantity.
• "The distance between the two subsequent crests or troughs of the light wave" is how wavelength of light is described. Hence, the wavelength is defined as the distance between one wave's crest or trough and the following wave.
• The number of full wave cycles that pass a point in a unit of time is described as frequency. The frequency in SI units is measured in Hertz (Hz).
• The number of full oscillations made by any wave element in a sinusoidal wave in unit time is its frequency.

The correct answer is 1929.

Key Points

• In 1929, the Indian National Congress (INC) passed the Purna Swaraj resolution.
• The term, Purna Swaraj is made of two sanskrit words, "Purna" meaning "Complete" and "Swaraj" meaning "Self-rule or Sovereignity".
• The Indian National Congress, on December 19, 1929, passed the historic "Purna Swaraj" (complete independence) resolution at its Lahore session in response to the discontent of the Indian masses with the British offer of Dominion Status to India.
• The Indian National Congress issued it as a resolution committing both the Congress and Indian nationalists to the fight for Purna Swaraj, or absolute independence from British control.
• On January 26, 1930, the Congress Party released a formal declaration, urging Indians to observe the day as "Independence Day".

Additional Information

• The first national political movement in India with the intention of increasing Indian participation in national governance was the Indian National Congress (INC).
• A.O. Hume, a retired civil official living in Shimla after his retirement, founded the INC in 1885. The "Indian National Union" was established when he invited numerous Indian leaders to discuss the Indian cause and was later renamed the "Indian National Congress" at Dadabhai Naoroji's proposal.
• The proposed location for the INC's inaugural meeting was Poona, but due to a plague outbreak there, the location was changed to Bombay.
• Only 72 delegates attended the first session, which was presided over by Womesh Chandra Bonnerjee and held at the "Gokuldas Tejpal Sanskrit Pathshala" in Bombay.
• Subsequently, INC's goal was increased to total independence, and once the country gained independence, INC grew into a significant political force.

The correct answer is Arunachal Pradesh.

Key Points

• The number of people in a given area of land is called the population density.
• According to India's 2011 population density statistics, the number of people per square kilometer increased from 324 to 382.
• The state with the highest population density is Bihar (1106 people/sq km), followed by West Bengal (1028 people/sq km) and Kerala (860 people/sq km).
• The state having the lowest population density according to 2011 census is Arunachal Pradesh (17 people/ sq km).
• Between 2001 and 2011, the population density grew at a 17.54 percent annual pace.

Additional Information

• According to the 2011 census:
• Sikkim has a population density of 86 people/sq km.
• Mizoram has a population density of 52 people/sq km.
• Nagaland has a population density of 119 people/sq km.
• The term "population density" refers to the quantity of people living in a given region, commonly expressed as "per square kilometre" or "per square mile", and which may or may not take glaciers or water bodies into account. Often, a country, city, nation, another area, or the entire world is computed in this way.
• As of 2021, India has had 16 decennial censuses. The first comprehensive census was done in 1881, while it had been conducted every ten years since 1872, when British Viceroy Lord Mayo began the custom. Since 1949, it has been carried out by the Registrar General and Census Commissioner of India under the Ministry of Home Affairs, Government of India.
• The 1948 Census of India Act, which predates the Indian Constitution, has been used to conduct all censuses since 1951. The Union Government is not required by the 1948 Census of India Act to carry out the Census on a specific date or to make the results available within a specified time frame.

The correct answer is Flipkart.

Key Points

• Flipkart has launched a new app "Shopsy" for online business in July 2021.
• Shopsy is an app that enables Indians to create their online enterprises with no financial outlay.
• Users of Shopsy are able to share product catalogues from a huge selection of 15 crore products offered by Flipkart sellers with potential customers via well-known social media and messaging apps, giving them the chance to influence their local network and realise their aspirations.
• These products range across fashion, beauty, mobiles, electronics, and home, among other categories.
• Flipkart is an Indian e-commerce business with its main office in Bangalore and was established in Singapore as a private limited company. The business began by concentrating on online book sales before branching out into other product categories like consumer electronics, clothing, accessories, consumables, and lifestyle goods.

Additional Information

• Facebook:
• The social networking site Facebook was first introduced on October 28, 2003, under the name FaceMash.
• On February 4, 2004, the name was changed to Facebook.
• Facebook is a social networking service that makes it simple to communicate and share content with loved ones online.
• Amazon:
• On July 5, 1994, Jeff Bezos launched Amazon in his Bellevue, Washington, garage.
• Digital streaming, cloud computing, online advertising, and artificial intelligence are the main areas of interest for Amazon, a multinational technology business based in the United States.
• Grofers:
• Instant delivery company Blinkit, formerly known as Grofers, was established in India in December 2013.
• The ease of daily buying has never been greater thanks to Blinkit, an online marketplace.
• It enables clients to shop at their preferred local retailers and obtain prompt delivery.

The correct answer is 15.

Key Points

• Rugby union or rugby, as it is more generally known, is a close-contact team sport that was developed at Rugby School in the first half of the 19^th century.
• The game of rugby is often played with an oval-shaped ball on a rectangular area known as a pitch between two teams of 15 players each.
• There will be H-shaped goalposts located at each end of the field.
• People of different sexes, ages, and sizes participate in rugby union, which is a well-liked sport worldwide.
• The purpose of the game is to get the ball into the area known as the in-goal area by putting it on the ground behind the try line of the opposition.
• Rugby is a sport that can be played with the ball in the hand or by kicking it. The ball can only be thrown or passed backwards when it is in hand, though.

Additional Information

• Sports having 11 team players:
• Football, sometimes known as soccer, is a team sport in which two teams of 11 players compete against one another.
• In this game, the players use their feet to kick the ball around a rectangular surface known as a pitch.
• The aim of the football game is to score more goals than the opposing team by getting the ball past the goal line and into a goal with a rectangular frame that is being defended by the other team.
• Rugby and football have extremely different game-playing rules. Football only allows 11 players to enter the field while rugby allows for 15 players.
• In contrast to rugby, which uses a 23-player team and prohibits substitutes from reentering the field, football allows substitutions at any moment.
• Baseball is a sport played between two teams of nine players each using a bat, a ball, and gloves on a field with four white bases set up in a diamond.
• Lacrosse is a team sport that is played using a lacrosse ball and stick. Each team has ten players: three attackmen, three midfielders, three defenders, and one goalkeeper and each player also has a lacrosse stick in their possession.

The correct answer is Only II.

Key Points

• The Mausoleum of Akbar is another name for Sikandra Fort.
• Sikandra, a little town close to Agra, Uttar Pradesh is where the Sikandra Fort is located. That is where the enormous Mughal Emperor's Mausoleum is located.
• The Sikandra Fort is 13 miles from the Agra Fort and  is on 119 acres of land in Sikandra and was constructed by Jahangir between the years of 1605 and 1613.
• Sikandra Fort got its name with reference to Sikander Lodhi.
• The fort is five storeyed and boasts magnificent architecture, is composed of red sandstone, and is also known as the crypt of Akbar.
• The Sé Catedral de Santa Catarina, also referred to as Se Cathedral, serves as both the Patriarch of the East Indies' residence and the cathedral for the Latin Church Archdiocese of Goa and Daman.
• Se Cathedral is located at Goa.
• The Se Cathedral was constructed to honour the Portuguese under Afonso de Albuquerque's leadership's triumph over a Muslim army, which resulted in the conquest of Goa in 1510.
• Since the day of the triumph fell on Saint Catherine's Day, the cathedral was named in her honour.

Additional Information

• The Agra Fort, sometimes referred to as the Red Fort, is a historic fort in the Indian city of Agra.
• Akbar, the Mughal emperor, began construction in 1565 and finished it in 1573.
• Until the capital was moved from Agra to Delhi in 1638, Agra Fort was the main home of the Mughal emperors.
• The "Lal-Qila", "Fort Rouge", or "Qila-i-Akbari" were some other names of Agra Fort.
• The Marathas were the last Indian kings to rule it before the British took it over.
• The Agra fort was officially recognised by UNESCO in 1983 as a World Heritage Site.
• Portuguese general, admiral, and statesman Afonso de Albuquerque served as the first Duke of Goa.
• From 1509 to 1515, he was viceroy of Portuguese India, a position he held for six years. During this time, he increased Portuguese authority throughout the Indian Ocean and developed a reputation as a fearless and capable military leader.
• By creating a Portuguese Asian empire, Albuquerque furthered the Portuguese people's three-pronged grand strategy of battling Islam, promoting Christianity, and protecting the trade in spices.

The correct answer is Both I and II.

Key Points

• Modern societies that are classified as socialist societies have some loose formal parallels in their political, property, and production regimes.
• A socialist economy is a kind of economic organization where the state controls and owns the means of production.
• The state (government), under the guidance of the planning commission, is responsible for the production and distribution of goods and manufacturing inputs.
• The major features of socialist societies are public ownership, definite objectives, central planning, freedom of consumption, planning and pricing process, and equality of income distribution.

Additional Information

• A society is a group of people engaged in ongoing social interaction or a sizable social group occupying the same physical or social territory and typically under the control of the same governmental authority and prevailing cultural expectations.
• Socialism is a political theory and movement that embraces a variety of economic and social structures that are distinguished by social ownership of the means of production rather than private ownership.
• The meaning of Socialism as a phrase covers the ideologies and movements in the fields of economics, politics, and society that are connected to the adoption of such systems. Social ownership might be employee, public, community, collective, or cooperative.

The correct answer is Nepal.

Key Points

• Mount Dhaulagiri is located in the west-central Nepal.
• Mount Dhaulagiri, at 8,167 metres (26,795 feet) above sea level, is the seventh-highest mountain in the world and the tallest mountain that is entirely contained inside one nation's borders (Nepal).
• Around 40 miles (65 km) northwest of Annapurna, it is located on the western side of the vast Kali (Kali Gandak) River valley.
• The majority of the Himalayas, the highest mountain range in the world, are found in Nepal. The nation is home to eight of the fourteen eight-thousanders, either entirely or in part by way of a shared border with China or India.
• Mount Everest, the tallest mountain in the world, and 1,310 other peaks that rise beyond 6,000 metres are both found in Nepal.

Additional Information

• The majority of Pakistan’s highest mountains are located in the Karakoram Range, primarily in Gilgit-Baltistan (PoK). The tallest of these peaks is K2 (8,611 metres), the second-highest mountain in the world. Other notable high mountains include those in the Himalaya, such as Nanga Parbat (8,126 metres), the ninth-highest globally, located in the Diamer District of Gilgit-Baltistan. In the Hindu Kush range, the highest peak is Tirich Mir (7,708 metres), ranked 33^rd in the world, situated in Khyber Pakhtunkhwa.
• The third-highest mountain peak in the world, Kanchenjunga, is the highest mountain peak in India at 8,586 metres (28,169 ft). In Sikkim, it is located in the Himalayan range close to the boundary between India and Nepal. The Western Ghats' tallest peak, Anamudi, is also the highest peak in South India.
• The Great Himalaya, the Lower Himalayan Range (or Inner Himalaya), and the Sub-Himalayan Range are Bhutan's three primary geographic regions. The snow-capped Great Himalaya in the north stretches along the Bhutan-Tibet border, rising to altitudes of roughly 5,500 metres (18,000 feet) and reaching summits exceeding 7,500 metres (24,600 feet).

The correct answer is 1929.

Key Points

• The Imperial Legislative Council of India passed the Child Marriage Restriction Act, 1929, setting the marriage age for girls at 14 and for boys at 18.
• The Child Marriage Restriction Act was enacted on September 28, 1929. It was changed in 1949, following India's independence, to 15 for females, and again in 1978 to 18 for girls and 21 for boys.
• The act is commonly referred to as the Sarda Act, named for its supporter Harbilas Sharda.
• The Child Marriage Restrction Act, which was a part of the social reform movement in India, got enforced six months later on 1 April 1930 after it was passed.
• The Prohibition of Child Marriage Act, 2006, which had the same minimum age restrictions, succeeded the 1929 Act. The Prohibition of Child Marriage (Amendment) Bill, 2021 aims to raise the legal age of consent for female marriage from 18 to 21.

Additional Information

• Since girls who are married before the age of 18 are more likely to endure domestic violence or lose their lives to difficulties during pregnancy and childbirth, UNICEF defines child marriage as a formal marriage or informal union that occurs before the age of 18.
• UN Women contends that child marriage should be considered a forced union because young children cannot give a legally binding consent.
• India last amended the definition of child marriage with its The Prohibition of Child Marriage Act of 2006, which is applicable to all Indians with the exception of the state of Jammu and Kashmir and the former residents of the union territory of Puducherry.
• The Prohibition of Child Marriage Act of 2006 defines "child marriage" as a marriage or a marriage that is about to be solemnised in which one or both of the contracting parties is a child. A child for marriage purposes is defined based on the person's gender: for a male, the limiting age is 21 years while for a female it is 18 years of age.

The correct answer is United States of America.

Key Points

• The US Constitution provided the model for the judicial review system that the Indian constitution has adopted.
• The powers of the parliament are not absolute and are split between the federal government and the states.
• The supreme court have the authority to evaluate legislation passed by both the national and state legislatures. As a result, the courts are given more authority and a tool for judicial review.
• Fundamental rights, judicial independence, the roles of the president and vice president, removal of supreme court and high court judges, and the ability to impeach the president are some further aspects that India has taken from the constitution of United States of America (USA).
• The United States Constitution is the only valid legal document in the country of USA. In 1789, it replaced the country's original constitution, the Articles of Confederation. The US constitution defines the national framework and governmental restraints and originally included seven articles.

Additional Information

• The USSR (now Russia) Constitution served as a model for the Preamble's fundamental duties and the Ideals of justice (social, economic, and political).
• Federation with a strong Center, the vesting of residuary powers in the Center, the appointment of state governors by the Center, and advisory jurisdiction of the Supreme Court are characteristics of the Indian Constitution that are modelled after those of the Constitution of Canada.
• The South African Constitution served as a model for the Indian Constitution's amendment procedure and the election of Rajya Sabha members.
• These elements—parliamentary government, the rule of law, legislative process, single citizenship, the cabinet system, prerogative writs, parliamentary privileges, and bicameralism—are all taken directly from the UK Constitution.

The correct answer is Only II.

Key Points

• The invention of the spinning jenny by James Hargreaves in 1764 enhanced the output of the conventional spindles.
• John Kaye invented the spinning frame in the year 1767.
• A single worker could run a spinning jenny, a machine with numerous spindles on which thread was spun, and as the wheel was turned, all the spindles rotated.
• One of the major advancements in the early Industrial Revolution's industrialization of textile production was the multi-spindle spinning frame known as the spinning jenny. With the ability to work eight or more spools at simultaneously, this equipment lowered the amount of labour required to create cloth.
• On 7 July 1854 at Tardeo, Cowasjee Nanabhoy Davar founded Bombay Spinning and Weaving Company, the city's first cotton mill (1815-73).
• Sir William Fairbaim created the design for the Bombay Spinning and Weaving Company, and this mill started operating on February 7, 1856, under the direction of British engineers and expert cotton workers.

Additional Information

• John Kay was the inventor of spinning frame (fllying shuttle) while Samuel Crompton was the inventor of spinning mule.
• The spinning jenny invented by James Hargreaves in 1764 is a significant invention of the industrial revolution.
• The transition to new industrial techniques that took place in Great Britain, continental Europe, and the United States between roughly 1760 and about 1820–1840 is known as the Industrial Revolution.
• This shift featured the switch from manual to machine production methods, the invention of machine tools, the creation of the mechanised factory system, new ways for producing chemicals and iron, an increase in the use of water and steam power, and new methods for producing chemicals and iron.
• Cowasjee Nanabhai Davar is known for his pioneering efforts in laying the foundation of the cotton industry in India. He established multiple cotton mills in India. The first was Bombay Spinning and Weaving Company, and another was the Bombay Throstle mill company in Bombay.

The correct answer is Jelly fish.

Key Points

• With umbrella-shaped bells and trailing tentacles, jellyfish are primarily free-swimming marine organisms, however some are fixed to the seabed by stalks.
• The bell can pulse to produce propulsion for incredibly effective movement.
• The tentacles can be utilised to catch animals and fight off predators as they are equipped with stinging cells. Humans can get hurt by jellyfish stinging cells that are employed to subdue their food.
• Jelly fish have an intricate life cycle, with the medusa typically being the sexual phase. During this time, planula larvae are produced, which disperse far and enter a sedentary polyp phase before becoming sexually mature.
• Since the anatomy of a fish is concentrated on its backbone, whereas that of a jellyfish is shaped like a dome, jellyfish are not actually fish.

Additional Information

• Lion fish:
• The Indo-Pacific is home to the genus Pterois of venomous marine fish, also referred to as lion fish.
• It may be identified by its showy dorsal fins, which are tipped with venomous spines, and its warning colouring with red or black bands.
• Mandarin fish:
• The mandarin fish, sometimes known as a mandarin dragonet, is a small, colourful member of the dragonet family that is well-liked in the saltwater aquarium industry.
• The mandarinfish is a Pacific native, with a range roughly from the Ryukyu Islands south to Australia.
• Dog fish:
• The northern Pacific and Atlantic coasts are home to small, bottom-dwelling dogfish sharks. They may travel great distances, and their habitat can vary from shallow seas with plenty of sunshine to 3,000-foot-deep gloomy waters.
• The lion fish, mandarian fish, and dog fish comes under the category of fish.

Calculation:

Average = sum of all observations ÷ number of observations

Calculation:

Students passed from school S1 in year Y1, Y2 and Y3 are respectively are 200, 700 and 600.

average students passed from school S1 each year = (200 + 700 + 600) ÷ 3

⇒ Average = 1500 ÷ 3 = 500 (this is J1)

Total students passed from S2 is 300 + 800 + 900 = 2000

Total students passed from S3 is 400 + 320 + 200 = 920

⇒ Difference = 2000 - 920 = 1080 (this is J2)

⇒ J2 - J1 = 1080 - 500 = 580

Hence, J2 - J1 = 580.

Shortcut Trick

Reduction in value = 25

Reduction in percentage = 100% − 95% = 5%

∴ 5% of the number = 25

Original number (100%) = (25 ÷ 5) × 100 = 500

∴ The correct answer is 500.

Alternate Method

Given: A number minus 25 equals 95% of itself.

Formula: Value = (Percentage ÷ 100) × Number

0% 95% 100% Result (95% of x) 5% = 25

Let the original number be x.

⇒ x − 25 = 95% of x

⇒ x − 25 = 0.95x

⇒ x − 0.95x = 25

⇒ 0.05x = 25

⇒ x = 25 ÷ 0.05

⇒ x = 500

∴ The correct answer is 500.

Additional Information

Percentage Base Rule

In percentage problems, the original or reference value is always considered 100% unless specified otherwise.

Fraction Equivalents

Converting percentages to fractions simplifies calculations: 5% = 1/20, 25% = 1/4, 95% = 19/20.

Percentage Change Formula

Percentage Change = (Difference ÷ Original Value) × 100. In this case, 5 = (25 ÷ x) × 100.

Concept Used:

The unit digit of the multiplication of two numbers is the same as the unit digit of the multiplication of unit digits of the two numbers.

Calculation:

For 724 × 476;

unit digit of 724 is 4 and unit digit of 476 is 6.

Then unit digit of the product of both is the same as unit digit of the product of their unit digit.

i.e., 4 × 6 = 24

Hence, unit digit of 724 × 476 is 4.

Formula Used:

(a + b)(a - b) = a² - b²

Calculation:

N = (√8 + 2) (√8 - 2) = (√8)² - 2²

⇒ N = 8 - 4 = 4

Thus, 1/N = 1/4.

Concept Used:

a^m × aⁿ = a^{m + n}

and a^m = (1/a)^-m

Calculation:

$\left( {\frac{{67}}{{63}}} \right)^2 \times \left( {\frac{{67}}{{63}}} \right)^{-1} \times \left( {\frac{{67}}{{63}}} \right)^{-2} \times \left( {\frac{{63}}{{67}}} \right)$

$⇒ \left( {\frac{{67}}{{63}}} \right)^2 \times \left( {\frac{{67}}{{63}}} \right)^{-1} \times \left( {\frac{{67}}{{63}}} \right)^{-2} \times \left( {\frac{{67}}{{63}}} \right)^{-1}$ [x^-m = 1/x^m and 1/x^-m = x^m]

$⇒ \left( {\frac{{67}}{{63}}} \right)^{2-1-2-1} = \left( {\frac{{67}}{{63}}} \right)^{-2}= \left( {\frac{{63}}{{67}}} \right)^{2}$

$⇒ \left(\frac{63^2}{67^2} \right) = \frac{3969}{4489}$

Shortcut Trick

Value of A2 = 1500 × 1.5 = 2250

Value of A1 = 2250 × 0.5 = 1125

Direct Calculation: 1500 × (150/100) × (50/100) = 1500 × 3/2 × 1/2 = 375 × 3 = 1125

∴ The correct answer is 1125.

Alternate Method

Given:

Number A2 is 50% more than 1500.

Number A1 is 50% less than A2.

Calculations:

⇒ A2 = 1500 + (50% of 1500)

⇒ A2 = 1500 + (50/100 × 1500) = 1500 + 750

⇒ A2 = 2250

⇒ A1 = A2 − (50% of A2)

⇒ A1 = 2250 − (50/100 × 2250) = 2250 − 1125

⇒ A1 = 1125

∴ The correct answer is 1125.

Additional Information

Percentage Increase/Decrease

To increase a number by x%, multiply by (1 + x/100). To decrease by x%, multiply by (1 − x/100).

Successive Percentage Change

If a value changes by a% and then b%, the net effective change is (a + b + ab/100)%.

Base Change Property

If A is x% more than B, then B is [x/(100+x)] × 100% less than A.

Solution:

Let's assume that A invests x rupees.

Then, according to question B invests 5x/6 rupees.

So, the total investment is x + 5x/6 = 11x/6 rupees.

A's share of investment in the ratio of the total is x÷(11x/6) = 6/11

i.e., For 11 Rupees invested 6 rupees are invested by A.

Hence, the Profit's share of A must be in the same ratio.

Therefore, A's share of the profit is  6/11 of the total profit.

So, A's share is 6 ÷ 11 × 11000 = 6000 rupees.

Hence, the Profit share of A is Rs. 6000.

Solution:

Expenditure of company P = 500

Savings of company P = 300

Thus, Income of company P = 500 + 300 = 800

Expenditure of company Q = 300 

Savings of company Q = 200

Thus, Income of company Q = 300 + 200 = 500

Total income of P and Q = 800 + 500 = 1300

Hence, the sum of income of companies P and Q is 1300.

Concept Used:

0, 1, 4, 5, 6, 9  can only be the unit digit of perfect square numbers.

Calculation:

0 can be neglected as it is not in the options.

For X to be 1.

1761 = 3 × 587

Which is not a perfect square number.

1764 = 2 × 2 × 3 × 3 × 7 × 7 = 22 × 32 × 72

As every prime came exactly twice in the expansion of prime factorization, 

Hence, 1764 is a perfect square.

Formula Used:

The profit on the article is calculated as a percentage of the cost price. To find the value of the profit, we use the following formula:

Profit = (Profit Percentage ÷ 100) × Cost Price

Calculation:

In this case, the profit percentage is 30, so the value of the profit is:

Profit = (30 / 100) × 480 = 144

So, the profit on the article is Rs. 144.

Concept Used:

The formula to find the total number of divisors of a positive integer "n" is given by:

n = p1^e1 × p2^e2 × ... × pk^ek

where p1, p2, ..., pk are the prime factors of "n" and e1, e2, ..., ek are their corresponding exponants. 

The total number of divisors is given by (e1 + 1) × (e2 + 1) × ... × (ek + 1).

Calculation:

We know, 112 = 24 × 71

Number of divisors of 112 = (4 + 1) × (1 + 1) = 5 × 2 = 10

Hence, there are 10 positive factors of 112.

Formula Used:

Speed = Distance ÷ Time

⇒ Distance = Speed × Time

Calculation:

Let's call the speed of the car "c".

The speed of the train is 10% more than the speed of the car, so the speed of the train can be expressed as c + (10/100)c = 1.1c.

Since both the car and the train cover the same distance in the same amount of time, we can use the following equation to find the speed of the car:

c × t = 220 km . . . (i)

where t is the total time taken by the car to cover the distance.

The train stops for 40 minutes, so the total time taken by the train to cover the distance is t - (40/60) hours = t - 2/3 hours.

Using the speed of the train, we can write the following equation:

(1.1c) × (t - 2/3) = 220

Dividing both sides of the equation by 1.1, we get:

c × (t - 2/3) = 200

⇒ c × t - 2c/3 = 200

⇒ 220 - 2c/3 = 200

⇒ 2c/3 = 20

⇒ c = 30

So the speed of the car is c = 30 km/hr.

Since the speed of the train is 1.1 times the speed of the car, the speed of the train is:

1.1 × 30 km/hr = 33 km/hr.

Hence, the speed of the train is 33 km/hr.

Formula Used:

Price after a% discount on Marked price of X is given by X - a% of X

Calculation:

Marked Price = Rs. 8800

Discount Percentage = 25 %

Selling Price = 8800 - 25% of 8800

⇒ Selling Price = 8800 - 25÷100 × 8800 = 8800 - 2200 = 6600

Hence, Selling Price after 25% discount is Rs. 6600.

Solution:

Statement I:  If the maximum mark of subject S4 is 200, then the marks obtained by the student in subject S4 is 140.

 Marks obtained by S4 is 50%,

⇒ 50% of 200 = (50/100) × 200 = 100

But given marks obtained by student in S4 is 140, 

Hence, statement I is false.

Statement II: If the maximum marks of subject S2 and S3 are 100 and 150 respectively, then the average marks obtained by the student in subject S2 and S3 are 37.5. 

Marks obtained in S2 is 60% and marks obtained in S3 is 30 %.

Maximum marks of S2 is 100.

⇒ Marks obtained in S2 = 60% of 100 = 60

Maximum marks of S3 is 150.

⇒ Marks obtained in S3 = 30% of 150 = 30 ÷ 100 × 150 = 45

Average = (60 + 45) ÷ 2 = 105 ÷ 2 = 52.5

But given average marks is 37.5.

Hence statement II is also false.

Thus, both statement I and statement II are false.

Formula Used:

The surface area of a sphere is given by the formula 4πr²,

and the area of a circle is given by the formula πr².

where r is the radius of sphere and circle respectively.

Calculation:

Let's call the radius of the sphere "r".

Since the sum of the areas of four identical circles is equal to the total surface area of a sphere, we can write the following equation:

i.e., 4× π(10)² = 4πr²

⇒ 400π = 4πr²

⇒ r² = 100

⇒ r = 10 cm

So the radius of the sphere is 10 cm.

Solution:

Let one man can finish the work in x days and one boy can finish the work in y days.

Thus, one day work of one man be 1/x part and one day work of one boy be 1/y part.

30 men can do work in one day is 30/x part

And given is one day work of 30 men is 1/16 part

⇒ 30/x = 1/16

⇒ x = 16×30 = 480 days

Again, one day work of 6 boys in 6/y part.

and given is one day work of 6 boys is 1/120.

⇒ 6/y = 1/120

⇒ y = 120 × 6 = 720 days

Thus, one day work of 12 boys is 12/720 = 1/60 parts

and one day work of 8 men is 8/480 = 1/60 parts

Total one day work = 1/60 + 1/60 = 1/30

Hence, together they will finish the work in 30 days.

Concept Used:

The simple interest can be calculated using the formula, SI = P × r × t,

where P is the principle amount, r is the interest rate as a decimal and t is the time in years.

Calculation:

Let's call the sum "P".

The difference in the interest between 10 years and 11 years is Rs. 52, so we can write the following equation:

⇒ P × 0.13 × 11 - P × 0.13 × 10  = 52

⇒ 1.43P - 1.3P = 52

⇒ 0.13P = 52

⇒ P = 52 ÷ 0.13 = 400

So the sum is Rs. 400.

Solution:

Let's call the marks of candidate B "x".

Since the marks of the two candidates are in a ratio of 3 : 8, we have:

3 : 8 = 135 : x

Cross multiplying and solving for x, we get:

3x = 8 × 135

⇒ 3x = 1080

⇒ x = 1080 ÷ 3 = 360

So the marks of candidate B are 360.

Solution:

Let the total distance be x Km.

then the distance traveled by bus is 2x/5 

Remaining is x - 2x/5 = 3x/5

Thus, the distance traveled by car is 3x/5

⇒ 3x/5 = 60

⇒ 3x = 300

⇒ x = 100

Hence, the total traveled distance is 100 km.

Formula Used: 

The area of a circle with radius "r" is given by the formula:

A = πr²

The area of an equilateral triangle with side length "s" is given by the formula:

A = (√3/4)s²

Calculation:

Statement 1: If the area of a circle is 61600 cm2, the diameter of this circle is 140 cm.

⇒ πr2 = 61600

⇒ (22/7)r² = 61600

⇒ r2 = 61600 × (7/22)

⇒ r² =  19600

⇒ r =  140

Hence, the diameter is 2×140 = 280

Thus, a statement I is false.

Statement II: If the area of an equilateral triangle is 400√3 cm2, then the side of this triangle is 40 cm.

⇒ (√3/4)s2 = 400√3 

⇒ s2 = 400√3 × (4/√3)

⇒ s2 = 1600

⇒ s = 40

Thus, statement II is true.

Hence, only statement II is true.

The correct answer is "Congenital"

Key Points

• In the above question we have to choose the word that can substitute the given sentence.
• Let's understand the given words.
• A lapidist is a person who cuts, shapes, and polishes precious stones, such as diamonds or gemstones.
• Congenital refers to something that is present at or before birth, typically used to describe a condition or characteristic that is inherited or acquired during fetal development.
• A Shunpike is a road or route that is taken in order to avoid a highway or main road, often used as a more scenic or less-traveled alternative.
• Equestrian refers to the practice of horse riding, or any activity related to horseback riding, such as horse shows or horse racing.
• Thus, from the above explanation the correct answer is "Congenital"

Correct answer: Congenital

The correct answer is "To exhaust oneself by working too much"

Key Points

​

• The idiom "to burn the candle at both ends" means to overwork oneself by staying up late and getting up early, or by doing too many things at once. It suggests that one is using up their energy and time too quickly, and that they will eventually become exhausted.
• Examples:
• "I have been burning the candle at both ends lately, working late and getting up early to work on my startup"
• "I have got to stop burning the candle at both ends if I want to be able to keep up this pace, I'm exhausted"
• Thus, as per the above explanation the correct answer is "To burn the candle at both ends"

***Correct answer: "***To burn the candle at both ends"

The correct answer is "QRSP"

Key Points 

• The correct order of the sentence is Q: Domesticated in tropical America, R: Where they were cultivated as, S: Individual seedling trees, P: Before the Spanish conquest.
• The sentence is talking about the origin of avocados, and how they were domesticated and cultivated
• The sentence starts with Q: Domesticated in tropical America, which tells us the place where avocados were first domesticated, Next
• R: Where they were cultivated as, refers to the place where avocados were grown,
• S: Individual seedling trees, gives us information about the method of cultivation, which is grown as individual seedling trees.
• Finally, P: Before the Spanish conquest, is the time frame when avocados were first domesticated.

Correct arrangement: Avocados were first domesticated in tropical America, where they were cultivated as, Individual seedling trees  before the Spanish conquest.

The correct answer is "​QRPS"

Key Points

• The correct order of the sentence is: Q: the city has taken measures to, R: decrease air pollution, and a system, P: of water purification has made, S: tap water safe for drinking.
• The sentence is talking about the measures that the city has taken to decrease air pollution, and also has installed a system of water purification which has made tap water safe for drinking.
• Q: the city has taken measures to is the starting point of the sentence, which refers to the actions taken by the city, which is followed by
• R: decrease air pollution, which is the first measure that city has taken. Then it mentions the second measure that city has taken, which is
• P: of water purification has made, this is a system that city has installed to purify water, and
• S: tap water safe for drinking, is the result or outcome of the water purification system, which is safe for drinking.

Correct arrangement: The city has taken measures to, decrease air pollution, and a system, of water purification, has made, tap water safe for drinking.

The correct answer is "2"

Key Points

• The error lies in the second part of the sentence.
• The phrase "look hardly" is incorrect. It should be "look hard" as "hardly" is an adverb which means "scarcely" or "barely" and doesn't fit in the context.
• First part is grammatically correct.
• Third part is also grammatically correct.

Correct sentence: You don't have to look hard to see uncivil behavior these days.

The correct answer is "Foreign"

Key Points

• The word "Foreign" means relating to or coming from a country or nation other than one's own. It can also be used to describe something that is unfamiliar or not native to a particular place.
• Examples:
• He's a foreign student from Germany studying at our university.
• We bought a foreign car from Japan.
• The company is interested in foreign markets.
• The foreign culture and customs were very different from what she was used to.
• The plant is a foreign species that was introduced to the area.
• Thus, the correctly spelt word is "Foreign"

Correct answer: Foreign

The correct answer is "Sanction"

Key Points

• Let's understand the meaning of the given words with examples.
• Forsake: To abandon or renounce something, or to leave someone or something behind(त्यागना).
• Examples:
• She decided to forsake her old life and start over in a new city.
• He promised to never forsake his family.
• Abjure: To reject or renounce something, usually a belief or principle, in a formal and public manner(त्यागना).
• Examples:
• She publicly abjured her former political beliefs.
• He had to abjure his faith in order to save his life.
• Abject: Despicable, miserable, or characterized by extreme poverty, hopelessness, or degradation(दीन).
• Examples:
• The refugee camp was an abject place, with poor living conditions and no hope for the future.
• His abject apologies did not excuse his behavior.
• Sanction: An action taken by a government or other authority to enforce compliance or to punish a violation of a law or rule(प्रतिबंध).
• Examples:
• The country imposed economic sanctions against the regime.
• The company was given a warning and a fine as a sanction for breaking the safety regulations.
• Observe: To watch or pay attention to something, or to comply with a rule or custom(निरीक्षण करना).
• Examples:
• The scientists observed the behavior of the animals in their natural habitat.
• He observed the speed limit on the way home.
• Thus, as per the above explanation the meaning opposite to the meaning of the given word is "Sanction"

Correct answer: Sanction

The correct answer is '1) five large and handsome 20 year old boys.'

Key Points

• The original sentence's adjectives were out of order.
• English typically follows the Royal Order of Adjectives: Quantity, Quality, Size, Age, Shape, Color, Proper adjective, and Purpose.
• So, "five handsome large 20 year old" should be revised as "five large and handsome 20 year old."
• We add "and" between "large" and "handsome" to better connect these adjectives.

Therefore, the correct answer is Option 1.

Additional Information

• Following the Royal Order of Adjectives ensures clarity and comprehension in English sentences.

The correct answer is "Queue"

Key Points

• The word "queue" typically refers to a line or sequence of people or vehicles waiting for something, such as service, a turn, or entrance to a place. It can also refer to a waiting list for something, such as a reservation or a ticket.

Examples:

The queue for the concert stretched around the block.

We had to queue for an hour to get into the theme park.

The restaurant has a queue system for reservations.

The bank teller asked everyone to form a queue.

The computer system uses a queue to manage the processing of tasks.

I put my name on the queue for the next available appointment.

• Thus, the correct spelling is "Queue"

Correct answer: Queue

The correct nswer is "up"

Key Points 

• The correct answer is option 4) "up" in this context. The phrase "come up with" means to think of or invent something and it fits the context of the sentence, which is that the government has introduced a new policy.
• Option 1) "upon" is not a common phrase in this context and does not convey the same meaning.
• Option 2) "on" is used to indicate that something has happened or been implemented, but it would not fit the context of the sentence.
• Option 3) "in" also doesn't convey the same meaning and does not fit the context.
• Thus, the correct answer is "up"

Correct sentence: The government has come up with a new policy

The correct answer is "1"

Key Points

• The error lies in the first part of the sentence "Dense mangrove forests about"
• The error in this option is "about" should be "in" to indicate the position of the mangrove forests around Florida's southwest coast.
• Second and third part are grammatically correct.

​Correct sentence: Dense mangrove forests in Florida's southwest coast form a protective barrier that absorbs storm surge from hurricanes.

The correct answer is "wrote slowly"

Key Points 

• The correct answer is 1) wrote slowly. The underlined segment "wrote slow" should be replaced with "wrote slowly" to indicate that Ramesh wrote at a slow pace, and also the sentence is in past tense, so it should be in past participle form.
• Option 2) write slow is incorrect because it is in present tense and it is not the same as the original sentence.
• Option 3) No improvement is incorrect because the original sentence is incorrect and needs improvement.
• Option 4) written slowly is incorrect because it is the past participle form of the verb, it should be in past participle form if it is used in passive voice, but in this sentence it is not in passive voice, it is in active voice, so it should be in past participle form.

The correct answer is "lousy"

Key Points 

• The correct answer is 1) lousy. The blank should be filled with "lousy" as it means bad or of poor quality, which fits the context of the sentence. She was upset because of his bad comments.
• Option 2) bloomy is incorrect because it means full of blooms or flowers, which does not fit the context of the sentence.
• Option 3) shrewd is incorrect because it means having or showing sharp powers of judgement, which does not fit the context of the sentence.
• Option 4) jovial is incorrect because it means in a good mood, cheerful and lively, which does not fit the context of the sentence.

Correct sentence: She was upset because of his lousy comments.

The correct answer is "Prevent something from happening"

Key Points

• The idiom "pull the plug" means to end something abruptly or prematurely. It often refers to ending a business, project, or relationship or to prevent something from happening"
• For example:
• "The company decided to pull the plug on the project after months of delays and budget overruns."
• "After the argument, she decided to pull the plug on their relationship."
• "The band's record label pulled the plug on their contract, so they had to find a new way to release their music."
• In all these examples, the phrase "pull the plug" is used to describe a decision to end something before it is completed or before it has reached its natural conclusion. It implies that something is being stopped abruptly and prematurely.
• Thus, as per the above explanation the correct answer is "Prevent something from happening"

Correct answer: Prevent something from happening

The correct answer is "Ephemeral"

Key Points 

• Fleeting: The adjective fleeting means lasting for a very short time, temporary, or transitory(क्षणभंगुर).
• Example: "The summer was fleeting, and before we knew it, autumn was upon us."
• Shipping: The noun shipping refers to the transportation of goods, cargo, or freight by sea or air(ढोने वाली).
• Example: "The company specializes in international shipping, handling the logistics of moving goods across borders."
• Stagnant: The adjective stagnant means not moving or flowing and often refers to water, it also means dull, inactive and unproductive(सुस्त).
• Example: "The stagnant water in the pond had become a breeding ground for mosquitoes."
• Ephemeral: is an adjective that means lasting for a very short time or having a very short life. It can also refer to something that is fleeting or transistor(अल्पकालिक)y.
• *Examples:*The fireworks display was an ephemeral display of color and light.
• Fecund: The adjective fecund means fertile, productive, and capable of producing abundant growth or development. It can also refer to the ability to produce offspring or new ideas(उपजाऊ).
• Example: "The soil was fecund, and the farmer's crops flourished"
• Thus, as per the above explanation, the word the means the same as the given word is "Ephemeral"

Correct answer: Ephemeral

The correct answer is "Between 11:00 am and 2:00 pm"

Key Points

• Refer to the line: The ideal exposure time is between 11:00 am and 2:00 pm. However, in order to make vitamin D from sunlight, well-functioning liver and kidneys are essential.
• The the ideal exposure time to take sunlight is between 11:00 am and 2:00 pm.

Correct answer: "Between 11:00 am and 2:00 pm"

The correct answer is "Deter"

Key Points

• Let's understand the meaning of the given words.
• Encourage: The verb encourage means to give support, confidence, or hope to someone, to motivate them to do something.
• Example: "The coach encouraged the team to keep playing even when they were losing."
• Adequate: The adjective adequate means sufficient, or enough to meet a particular need or requirement.
• Example: "We have adequate supplies to last us through the winter."
• Subtle: The adjective subtle means delicate or slight, not easily noticed or obvious, delicate in meaning or intent.
• Example: "The subtle differences in color and texture are what make this painting so unique."
• Deter: The verb deter means to prevent someone from doing something by making them think it is too difficult, dangerous, or unwise.
• Example: "The high cost of tuition deterred many students from applying to the university."
• Relieve: The verb relieve means to make something less severe or intense, to free someone from pain, discomfort, or distress.
• Example: "The pain reliever helped to relieve the headache."
• Thus, as per the above explanation the correct antonym of the word "encourage" is "Deter"

Correct answer: Deter

The correct answer is "Darker skin"

Key Points

• Refer to the lines: Vitamin D deficiency may often go unrecognized, and many who see their doctor for aches, pains and fatigue end up being misdiagnosed as suffering from fibromyalgia and  Consequently, vitamin D deficiency leads to lower immunity and a higher susceptibility to the flu. High blood pressure and depression are also linked to vitamin D deficiency
• The passage suggents the consequence of Vitamin D deficiency are Lower immunity, High blood pressure, Arching Bones.
• It does not suggests darker skin is the consequence of the deficiency of Vitamin D.

Correct answer: Darker skin

The correct answer is "Darker skin contains more melanin pigment, which reduces skin ability to make Vitamin D."

Key Points

• Refer to the line: Besides, our darker skin contains more melanin pigment, which reduces the skin's ability to make vitamin D.
• The people with darker skin are not able to make Vitamin D because darker skin contains more melanin pigment, which reduces skin ability to make VItamin D.

Correct answer: Darker skin contains more melanin pigment, which reduces skin ability to make Vitamin D.

The correct answer is  "Vitamin D Deficiency,  its Symptoms and Cause​"

Key Points

• The most suitable title for this passage would be "Vitamin D Deficiency, its Symptoms and Causes" as it describes the effects of vitamin D deficiency on the body and discusses the factors that contribute to it.
• *Thus, the most suitable title for this passage is "*Vitamin D Deficiency, its Symptoms, and Causes"

Correct answer: Vitamin D Deficiency, its Symptoms and Causes

'नारद मोह होना' मुहावरे का उचित अर्थ- 'माया में पड़ना' है।

Key Points 

Important Pointsअन्‍य व‍िकल्‍प- 

Additional Information 

'हम किसी भी मनुष्‍य को भला बुरा कह देते हैं।' इस वाक्‍य में योजक (-) चिह्न का प्रयोग होगा। 

Key Points

• योजक चिह्न युक्‍त वाक्‍य- 'हम किसी भी मनुष्‍य को भला-बुरा कह देते हैं।'

Important Points 

रिक्‍त स्‍थान की पूर्ति के लिए सर्वाधिक उपयुक्‍त शब्‍द 'सच्‍चा' है। अन्‍य विकल्‍प असंगत हैं। 

Key Points

• सम्‍पूर्ण वाक्‍य- "वस्‍तुत: सच्‍चा मनुष्‍य वही है जो मानवता का आदर करता है।"
• सच्‍चा शब्‍द का अर्थ- सच बोलने वाला, सत्‍यवादी।
• सच्‍चा का विलोम- झूठा।

अन्‍य विकल्‍प- 

Additional Information

• उदयशंकर भट्ट हिन्‍दी साहित्‍य के प्रमुख नाटककार है।
• उन्‍होंने अपना यज्ञ यथाविधि सम्‍पन्‍न किया।
• जहॉं सफाई है वहॉं स्‍वास्‍थ्‍य है।