RRB NTPC CBT 2 (Level-3) Official Paper (Held On: 17 June 2022 Shift 3) (Previous Year Paper)

The positional values of English alphabet is as follows: 

The pattern followed here is as follows:

Hence, ZCM is the correct answer.

The correct answer is Madhya Pradesh.

Key PointsMadhya Pradesh

• Madhya Pradesh has the highest infant mortality rate.
• In Madhya Pradesh, the infant mortality rate is 52 in rural areas and 36 in urban areas.
• It has the highest infant mortality rate (48/1000) in the country.
• In the year 2019, the infant mortality rate among boys in the state was 51 per 1,000 live boys and the infant mortality rate in girls was 46 per 1,000 live girls.
• Out of 1,000 live births in Madhya Pradesh, 26 infants die within the first seven days of birth.

Additional InformationUttar Pradesh

• In Uttar Pradesh, the Neonatal Mortality Rate (NNMR) in rural and urban areas was 45.1% in 2015-2016 and 35.7% in 2020-2021.
• The Infant Mortality Rate (IMR) in UP is currently 50.4%, while it was 63.5% earlier.
• The infection rate was 15 percent in children before the year 2017, while it is now 5.6%.

Bihar

• The infant mortality rate in Bihar is now decreasing year after year.
• The death rate has now come down to 27%.
• The infant mortality rate in Bihar is 1% less than the infant mortality rate of the country.

Chhattishgarh

• In the year 2020-21, there has been a big reduction in the neonatal mortality rate, infant mortality rate and mortality rate of children up to five years in Chhattisgarh.
• Both neonatal and infant mortality rates have come down by 23% and 18%.
• There has been a significant drop of 22% in the mortality rate of children up to five years of age.

The correct answer is Mahatma Gandhi.

Key PointsHarijan Sevak Sangh

• Harijan Sevak Sangh was founded by Mahatma Gandhi on 30 September 1932 as an all-India organization.
• Earlier this organization was named Untouchability Prevention Sangh, which was renamed Harijan Sevak Sangh on 13 September 1933.
• Its first president was famous industrialist Ghanshyamdas Birla and secretary Amritlal Vithaldas Thakkar.
• The headquarter of the Sangh is at Gandhi Ashram, Kingsway Camp, Delhi.
• Its branches are in almost all the states in India.
• Presently its chairman is Shankar Kumar Sanyal.

Additional InformationNarendra Dev

• Acharya Narendra Dev was a prominent freedom fighter, journalist, litterateur, and educationist in India.
• He was the main theorist of the Congress Socialist Party.
• Acharya Narendra Dev, the master of extraordinary talent and personality, was a high-quality teacher and a great educationist in the form of a teacher.
• After becoming the Acharya of Kashi Vidyapeeth, this title became a part of his name.
• Their passion to liberate the country drew him into the freedom movement and the economic condition of India and the plight of the poor made him a socialist.

Jawaharlal Nehru

• Jawaharlal Nehru was the first Prime Minister of India and a central figure in Indian politics before and after independence.
• Under the tutelage of Mahatma Gandhi, he emerged as the supreme leader of the Indian independence movement and ruled India from its establishment as an independent nation in 1947 until his death in 1964.
• He is considered the architect of the modern Indian nation-state – a sovereign, socialist, secular, and democratic republic.

Aruna Asif Ali

• Aruna Asif Ali was born in a Bengali family on 16 July 1909 in a place called 'Kalka' in Haryana, then Punjab.
• Her family was Brahmin by caste.
• Her name was 'Aruna Ganguly'.
• After completing her studies in Lahore and Nainital, she became a teacher and started teaching at Gokhale Memorial College, Kolkata.

The correct answer is 1942.

Key Points

• Azad Hind Radio 
• In order to spread anti-British propaganda, Netaji Subhas Chandra Bose founded the Azad Hind Radio in Berlin, Germany.
• In 1942 the Azad Hind Radio Service as part of Germany's radio service was started.
• The first transmission took place on January 7, 1942.
• Its headquarters were first located in Germany, but they were later moved to Singapore and then Myanmar.
• A.C.N. Nambiar, the leader of the Indian Legion in Germany, took over the organization's operations in Germany after Bose's passing.

Additional Information

• The shows were broadcast in English, Telugu, Tamil, Gujarati, Marathi, Bengali, Pushto, and Tamil.
• Bose used to declare war on the British government on October 23, 1942.
• The radio programmes were rebroadcast in 2009.
• On the radio, Bose referred to the All India Radio as the "Anti-Indian Radio" and the British Broadcasting Corporation as the "Bluff and Bluster Corporation" respectively.

Given:

Principal = Rs. 3 , 680

Rate of interest = 12.5% = 1/8

Time = 6 years

Formula used:

Simple interest =  (Principal × time × rate)/100

Calculation:

Simple interest = (3680 × 12.5 × 6)/100

⇒ S.I = 3680 × (1/8) × 6

⇒ S.I = 2760

∴ The amount after maturity

⇒ (AMOUNT + S.I)

⇒ Rs. (3,680 + 2,760)

⇒ Rs. 6440

∴ Hence , the amount after maturity = Rs. 6440.

Shortcut Trick Divide 441 by 9 directly to get 49. Taking the square root of both sides: x + 9 = ±7. Calculate the two values: x = −9 + 7 and x = −9 − 7. The resulting roots are −2 and −16. ∴ The correct answer is −2, −16.

Alternate Method Given Equation: 9(x + 9)2 = 441 Method: Solve the quadratic equation by isolating the squared term and taking square roots. ⇒ 9(x + 9)2 = 441 ⇒ (x + 9)2 = 441 ÷ 9 ⇒ (x + 9)2 = 49 ⇒ x + 9 = √49 or x + 9 = −√49 ⇒ x + 9 = 7 or x + 9 = −7 ⇒ x = 7 − 9 or x = −7 − 9 ⇒ x = −2 or x = −16 ∴ The correct answer is −2, −16.

Additional Information Square Root Property If u2 = d, then u = ±√d. This property is used to solve equations of the form (x − h)2 = k by taking the root of both sides. Quadratic Formula For any equation ax2 + bx + c = 0, the roots can be found using x = [−b ± √(b2 − 4ac)] ÷ 2a. Nature of Roots The discriminant D = b2 − 4ac determines the nature. If D > 0 and a perfect square, roots are real, rational, and unequal.

Given :

X does  a work in 84 days

Y does the same work with 50 % less efficiency i.e., in 168 days 

And  Z takes 28 days to do the same work

Calculations :

1 Day work of X = $\frac{1}{84}$ th part of work 

1 Day work of Y = $\frac{1}{168}$ th part of work

1 Day work of Z = $\frac{1}{28}$ th part of work

1 Day work of X and Y together = $\frac{1}{84}+\frac{1}{168}=\frac{1}{56}$ th part of work

1 Day work of X , Y and Z together = $\frac{1}{84}+\frac{1}{168}+\frac{1}{28}$ = $\frac{3}{56}$ th part of work

For 3 days , Y worked alone and completed = $3×\frac{1}{68}$ = $\frac{1}{56}$ th part of work

For next 4 days , X and Y worked together and completed = $4×\frac{1}{56}$ = $\frac{1}{14}$ th part of work 

Now , remaining work after 7 days

⇒ [ 1 - { $\frac{1}{56}+\frac{1}{14}$ } ]

⇒ 1 - ($\frac{5}{56}$)

⇒ ($\frac{51}{56}$) the part of work

The remaining work is done by joined team of X , Y and Z in 

⇒ $\frac{51}{56}×\frac{56}{3}$

⇒ 17 days 

Hence , Z works for 17 days to complete the work.

GIVEN:

Number of girls =¾ of the number of boys

2/3^rd number of girls likes mango juice

1/2 number of boys like mango juice

CONCEPT USED: 

Fraction- It is a part of a whole .It is expressed as a quotient i.e.=numerator/ denominator

CALCULATION:

Let the total number of boys be 400

⇒number of girls =300 (3/4X400=300)

⇒number of girls like mango juice=2/3 x 300=200

⇒number of boys like mango juice=1/2 x 400=200

⇒ Total number of girls and boys who like mango juice=(200+200)=400

⇒Total number of girls and boys=700

∴ Fraction of the total number of girls and boys who like mango juice= total number of girls and boys who like mango juice/total number of boys and girls = 400/700 = 4/7

Shortcut Trick

Perimeter of Rectangle = 2 × (56 + 42) = 196 cm.

Side of Square = 196 ÷ 4 = 49 cm.

Diameter of Semicircle = 49 cm ⇒ Radius (r) = 24.5 cm.

Perimeter of Semicircle = (π + 2) × r = (22/7 + 2) × 24.5

Perimeter = (36/7) × 24.5 = 36 × 3.5 = 126 cm.

∴ The correct answer is 126 cm.

Alternate Method

Given:

Length of Rectangle (L) = 56 cm

Breadth of Rectangle (B) = 42 cm

Perimeter of Square = Perimeter of Rectangle

Diameter of Semicircle = Side of Square

Formula Used:

Perimeter of Rectangle = 2 × (L + B)

Perimeter of Square = 4 × Side (a)

Perimeter of Semicircle = πr + 2r (where r = radius)

Calculations:

⇒ Perimeter of Rectangle = 2 × (56 + 42) = 2 × 98 = 196 cm

⇒ 4 × Side of Square = 196 cm

⇒ Side of Square (a) = 196 ÷ 4 = 49 cm

⇒ Diameter of Semicircle = 49 cm

⇒ Radius of Semicircle (r) = 49/2 = 24.5 cm

⇒ Perimeter of Semicircle = (π × r) + 2r

⇒ Perimeter = (22/7 × 24.5) + (2 × 24.5)

⇒ Perimeter = (22 × 3.5) + 49

⇒ Perimeter = 77 + 49 = 126 cm

∴ The correct answer is 126 cm.

Additional Information

Perimeter of a Semicircle

The total boundary of a semicircle includes the curved arc (πr) and the straight diameter (2r). Total Perimeter = πr + 2r.

Area of a Semicircle

The area is exactly half of the area of a full circle. Area = (1/2) × πr².

Square and Rectangle properties

For a square, Area = a² and Perimeter = 4a. For a rectangle, Area = L × B and Perimeter = 2(L + B).

The correct answer is China.

Key Points

• World Steel Association, 2020
• The worldwide trade organisation for the iron and steel sector is known as the World Steel Association or worldsteel.
• With participants from every significant nation that produces steel, the group is among the biggest and most active in its field.
• The amount of crude steel produced globally in 2020 was 1877.5 million tonnes (Mt), up 0.2% from the year before.
• China now produces the most steel, with 57 percent of global steel output in 2020.
• China produced more than a billion tonnes of steel for the first time in 2020.
• In that year, China Baowu Group produced over 115 million metric tonnes of basic steel.
• China was only the fourth-largest steel manufacturer in the world in 1990, after Japan, the US, and the USSR.

Additional Information

• World Steel Association is a nonprofit organisation with its main office in Brussels, Belgium, and a second headquater in Beijing, China.
• One of the most useful and necessary materials in the world is steel, a metal that is an alloy of 97.9–99.98% iron and 2.1–0.002% carbon.
• The manufacturing of steel is one of the most energy- and carbon-intensive businesses in the world, as per the U.S. Energy Information Administration.
• Around 7% of the world's carbon dioxide emissions in 2020 came from the manufacture of steel.

The positional values of English alphabet is as follows:

The pattern followed here is:

Hence, AAAA is the correct answer.

The correct answer is Karuppur Kalamkari Painting.

Key Points

• The traditional dye-painted figurine called Karuppur Kalamkari painting, and Kallakuruchi wood carving have received the Geographical Indication tag.
• Karuppur Kalamkari paintings are done in Thanjavur region.
• These are traditional dye-painted figurative and patterned fabrics.
• They are roof cloth, umbrella cover and chariot cover etc.
• The Thanjavur tradition of Kalamkari had chhatris, umbrella covers, thombai (cylindrical hangings), and 'thoranams' (door hangings) with motifs of peacocks, swans, flowers and images of deities.
• They are used in temples and monasteries.

Additional Information

• GI is a tag which is used to identify the products originating from a certain geographical area and having certain characteristics.
• This tag is governed by the Geographical Indications (Registration and Protection) Act, 1999 in India.
• Geographical Indications Registry, Chennai issues these tags.
• This tag is valid for a period of 10 years.

Given:

5 − 10 ÷ 5 × 2 − [12 ÷ 6 of {5 × 6 ÷ (6 − 9) + 13} × (8 ÷ 4 of 3)]

Concept Used:

Calculation:

⇒ 5 − 10 ÷ 5 × 2 − [12 ÷ 6 of {5 × 6 ÷ (6 − 9) + 13} × (8 ÷ 4 of 3)]

⇒ 5 − 10 ÷ 5 × 2 − [12 ÷ 6 of {5 × 6 ÷ (6 − 9) + 13} × (8 ÷ 12)]

⇒ 5 − 10 ÷ 5 × 2 − [12 ÷ 6 of {5 × 6 ÷ (–3) + 13} × 2/3]

⇒ 5 − 10 ÷ 5 × 2 − [12 ÷ 6 of {5 × (–2) + 13} × 2/3]

⇒ 5 – 10 ÷ 5 × 2 – [12 ÷ (6 × 3) × 2/3]

⇒ 5 – 10 ÷ 5 × 2 – [12 × 1/18 × 2/3]

⇒ 5 – 10 ÷ 5 × 2 – 4/9

⇒ 5 – 2 × 2 – 4/9

⇒ 5 – 4 – 4/9 

⇒ 1 – 4/9 = 5/9

Hence, the simplified value of the expression is 5/9

The correct answer is El Salvador.

Key Points

• The Central American country of El Salvador has approved a bill to make the world's largest and most popular cryptocurrency, bitcoin, the legal currency of the country.
• It has become the first country in the world to declare bitcoin as a legal currency.
• The official currency of El Salvador is the US Dollar.
• The US dollar will continue to be the legal currency in the country as before and the use of bitcoin will be optional.
• In El-Salvador's parliament, bitcoin was approved by a vote of 84 to 62.
• After this announcement, the price of bitcoin increased from $33.98 to$34,398.

Additional Information

• Bitcoin is a type of digital currency, or cryptocurrency, that enables instant payments.
• Bitcoin was introduced to the world in the year 2009.
• It is based on an open-source protocol.
• It is not issued by any central authority.

Given: 

BODMAS Rule: 

After replacing the mathematical signs, we get:

⇒ 40 ÷ 20 × 6 - 2 + 5 

⇒ 2 × 6 - 2 + 5 

⇒ 12 - 2 + 5 

⇒ 17 - 2 

⇒ 15

Hence, 15 is the correct answer.

Alphabetical Sheet with its Place Value.

Hence, KNF is the correct answer.

The correct answer is Orissa.

Key Points

• DRDO successfully test-fired a long-range supersonic missile-assisted torpedo off the Balasore coast in Odisha in December 2021.
• The system is designed to enhance anti-submarine warfare capabilities that are far beyond the range of conventional torpedoes.
• It is a next-generation missile-based torpedo delivery system.
• All the capabilities of the missile were successfully demonstrated during the test.
• Various technologies have been developed by several DRDO laboratories for this advanced missile system.

Additional Informationभारत ने जिन 5 मिसाइलों का परीक्षण किया है उनकी सूची

The correct answer is IX.

Key Points

• Panchayati Raj in India
• In contrast to urban and suburban municipalities, villages in rural India are governed locally through the Panchayati Raj (Council of Five Officials) system.
• It comprises of the Panchayati Raj Institutions (PRIs), which enable villages to practice self-government.
• Their mission is to "strengthen social justice, advance economic growth, and implement Central and State Government Schemes, including those 29 issues stated in the Eleventh Schedule."
• The provision of the Indian Constitution that deals with Panchayats is Part IX.
• It indicates that there are three levels of PRIs in states or Union Territories with more than two million residents:
• the Mandal Parishad, Block Samiti, or Panchayat Samiti at the block level
• the Gram Panchayats at the village level and
• the Zila Parishad at the district level.
• There are only two levels of PRIs in states or Union Territories with less than two million residents.

Additional Information

• Every five years, members of the Panchayats at all levels are elected.
• Scheduled Castes (SCs) and Scheduled Tribes (STs) must be represented in the Panchayats in an equal number to the general population.
• Women must hold at least one-third of all seats and chairperson positions, and in some states, up to 50% of all seats and chairperson positions.
• The historical Panchayati raj system of the Indian subcontinent, which is also present in Pakistan, Bangladesh, and Nepal, served as the basis for the current Panchayati Raj system, which was first implemented in India by the 73^rd constitutional amendment in 1992.
• The Panchayati Raj system is currently exist in all states with the exception of Nagaland, Meghalaya, and Mizoram, as well as in all Union Territories with the exception of Delhi.

Explanation:

1. Students are sitting in a row facing North. 

2) B sits immediate next to both G and D.

Case 1

Case 2

3) H sits third to the left of B. H sits second to the right of A.

Case 1

Case 2

4) C sits immediate next to both H and G.

5) A and F are sitting at the extreme ends of the row, and F sits second to the right of B.

Hence, there are 8 number of students in the row.

Friends : Purva, Roshan, Vibhor, Luna and Anuj.

T-shirts : Red, Black, Purple, Yellow and Blue.

Allergic things : Nuts, dairy, cats, fish and dust.

1) Luna is allergic to cats but is not wearing a purple T-shirt. Luna is wearing a blue T-shirt.

2) The one wearing a yellow T-shirt has dust allergy.

3) Purva is wearing a black t-shirt but is not allergic to dairy or fish.

4) Vibhor is wearing a purple T-shirt but does not have fish allergy. Roshan is wearing a red T-shirt. 

Thus, possible arrangement is :

• (Purva is not allergic to dairy or fish it means Purva is allergic to nuts)
• (Vibhor does not have fish allergy it means he has allergy from dairy)

Hence, Anuj is the correct answer.

Given :

Total Cost of cultivation = Rs. 2880

Rate = Rs. 320 per hectare

Concept : 

Area of field × Rate = Total cost of cultivation

Calculations : 

According to question, 

Area of field = $\frac{Total cost}{Rate}$

Area = $\frac{2880}{320}$

Area = 9 hectare = 9 × (10000) sq.m = 90000 sq.m

Hence, Area of the field is 90000 sq.m.

The correct answer is Japan.

Key PointsShogatsu

• Shogatsu falls on the Japanese New Year's celebration, the familiar date of January 1 according to the Gregorian calendar, but in Japan the festivities stretch out before and after.
• It is considered one of the biggest festivals in Japan.
• Shogatsu is celebrated by enjoying several traditional foods that vary between regions in Japan.
• Many people start the new year by eating soba (buckwheat) noodles at midnight for good health.
• At dawn, the Emperor of Japan prays for the nation.

Additional InformationBrazil

• Brazil is one of the largest countries in South America.
• Brazilians are very much rooted in their cultural values ​​and beliefs.
• For Brazilians, New Year is like a festival celebrated with full enthusiasm and fervor wrapped in traditional values.
• In Brazil, the new year is also pronounced as anno nove or in the Brazilian language it is celebrated on a large scale.
• They also welcome the beginning of the summer season.
• After their traditional festivities, Brazilians take the time to celebrate and descend upon pubs, discotheques, clubs and party halls, etc. to see the hordes of locals and tourists.

New Zealand

• New Zealand is one of the first countries in the world to welcome the New Year.
• Many people use New Year's Day to relax after celebrating New Year's Eve and New Year's countdown.
• Some visit family and friends, while others participate in events such as New Year's horse racing carnivals and summer fairs.
• Cricket is a sporting event that many New Zealanders watch during the New Year's holiday.

France

• Many people in France start New Year's Day at midnight by celebrating with friends or family members.
• Public and private fireworks displays are common.
• Many people drink champagne, sparkling white wine or hot wine.

The correct answer is Restrictions on Large-scale industries.

Key Points

Open Economy

• An open economy is one that participates in international trade.
• In an open economy, trades involves in both the export and import of products and services in addition to conducting business within their own nation.
• Due to the fact that this economy consists of the household sector, business sector, government sector, and foreign sector, it is sometimes referred to as a "four sector economy."
• In the present period, every economy of the world is an open economy.
• Features of Open Economy:
• An open economy has economic relations to the rest of the globe.
• A country with an open economy trades goods and services with other nations.
• An open economy borrows money from other nations and lends it out as well.
• Delicensing of Industries
• Ordinary citizens of an open economy are free to travel and work anywhere they want within that economy's domestic boundaries.

Additional Information

• In contrast to open economy, closed economy is entirely self-sufficient; no imports are brought in and no exports are sent out.
• As the world becomes more globally interconnected, the economy is becoming more open.
• "Open economy" is defined by GN Mankiw as "an economy that freely interacts with other economies around the world."
• Few examples of open economy are:
• India
• Hongkong
• USA
• Finland
• Singapore

Given:

Diagonal (D₁) = 48 m

Diagonal (D2) = 64 m

Formula used:

Area of the Rhombus = 1/2 × (D1 × D2)

Calculations:

According to the question,

⇒ Area = 1/2 × (48 × 64)

⇒ Area = 3072/2 = 1536 m²

∴ The area of a rhombus is 1536 m2.

The correct answer is Papua new guinea.

Key PointsPapua new guinea

• Papua New Guinea has the largest number of languages ​​spoken in the world, more than 800.
• It is the number one country in the world in the index of diversity in language and dialect.
• If you choose any two people in this country, then one thing will be decided, the mother tongue of both will be different.
• The language of business in the country is English and the majority of the people living here are Australians.
• According to Clara Raven, you'll also hear Tok Paison, which is mixed English and is one of the country's four national official languages.
• Tok Paisan is the fourth language apart from English, Hirimoto and Papua New Guinea.

Additional InformationTop 10 Countries With Most Languages

Given: 

Total sum sehwag and sachin have = Rs. 950

Calculations:

Let the money sachin had initially be Rs. X

Then the money sehwag had initially be Rs. (950 - x)

Sachin takes Rs. 250 from Sehwag then,

⇒ x + 250 = 950 - x 

⇒ x + x = 950 - 250

⇒ 2x = 700 

⇒ x = 350

Hence, Sachin had initially Rs. 350

Therefore, the money sehwag had initially is

⇒ Rs. (950 - 350)

⇒ Rs. 600

Now, the ratio is = 350 : 600  = 7 : 12

Hence, the required ratio is 12 : 7.

The correct answer is Salman Rushdie.

Key Points

• 'Midnight's Children' 
• The book Midnight's Children was written by Salman Rushdie in 1981.
• Bill Botten created the cover for the book's publication by Jonathan Cape.
• It depicts the evolution of India from British colonial authority to independence and division.
• It is regarded as a prime example of postmodern, magical realist, and postcolonial literature.
• Saleem Sinai, who serves as the narrative's main protagonist, tells the tale, which is based on real historical occurrences.
• Fictional reports are written in a self-reflexive manner to preserve history.
• In 1981, Midnight's Children earned both the James Tait Black Memorial Prize and the Booker Prize.

Additional Information

• Other achievements
• To celebrate the Booker Prize's 25^th and 40^th anniversaries, it was given the "Booker of Bookers" Prize and the best-ever prize winners in 1993 and 2008.
• The book was included in the BBC's The Big Read survey of the UK's "best-loved novels" in 2003.
• The Penguin Books publication's, list of the Great Books of the 20^th Century also included it.
• The book was chosen as one of the 70 titles in the Big Jubilee Read in 2022, a celebration of Commonwealth writers' writing for the Platinum Jubilee of Queen Elizabeth II.

The correct answer is E10.

Key Points

• A cell reference or cell address is a combination of a column letter and a row number that identifies a cell on a worksheet.
• ADDRESS can return an address in relative, mixed, or absolute format, and can be used to construct a cell reference inside a formula.
• Example : ADDRESS(1,1) returns $A$1 ( column is A and row is 1).

Additional Information

• The CELL function returns information about the formatting, location, or contents of a cell.

MS-Excel Worksheets

• The term Worksheet used in Excel documents is a collection of cells organized in rows and columns.
• It is the working surface you interact with to enter data.
• Each worksheet contains 1048576 rows and 16384 columns and serves as a giant table that allows you to organize information.

Explanation:

Statement 1: Shamita is taller than Rekha. Rekha is shorter than Tanya.

• This implies Rekha < Tanya /Shamita.
• ​The shortest person is Rekha as per Statement 1.

Statement 2:

• Rekha is shorter than Surbhi.
• Rekha < Surbhi
• Surbhi is taller than Shamita.
• Surbhi < Shamita
• Tanya is shorter than Surbhi.
• Tanya < Surbhi
• Combining all these,
• Rekha / Tanya < Surbhi < Shamita
• The shortest person can't be determined as per Statement 2.

Hence, A is the correct answer.

The correct answer is 46.6%.

Key PointsOxygen 

• It is by far the most abundant element in the Earth's crust.
• The approximate percentage, by weight, of oxygen in the earth's crust is 46.6%.
• It makes up almost half of the Earth's crust in the form of oxides.
• Oxygen and silicon account for 75% of the weight of the Earth's crust.

Additional Information

• Carbon makes up only about 0.025 per cent of Earth's crust and it forms more compounds than all the other elements combined.
• Hydrogen makes 0.14% weight of Earth's crust.

Persons : Puneet, Monu, Jyoti, Umesh, Tapsi, Vinod, Pushpa and Saha 

1. They are sitting at a square table in such a way that four of them are sitting at four corners of the table, while the other four are sitting in the middle of each of four sides of the table. The four who are sitting at the corners of the table are facing the centre, whereas those who are sitting in the middle of the sides of the table are facing outside.

2) Puneet, who is facing the centre, is sitting third to the right of Vinod. 

3) Only one person is sitting between Vinod and Pushpa. 

Case 1:

Case 2:

4) Umesh sits second to the right of Monu. Monu is facing the centre. Tapsi, who is facing centre, is not an immediate neighbour of Vinod.

5) Jyoti is not an immediate neighbour of Puneet.

Possible seating arrangement:

Hence, Monu is sitting exactly between Vinod and Pushpa is the correct answer.

The correct answer is Quo Warranto.

Key PointsQuo Warranto

• Quo Warranto is a petition through which a person is asked under what authority or power he has acted or taken a decision.
• The purpose of this writ is to restrain a person from holding a public office which he is not entitled.
• When a person starts acting as an officer of which he is not legally entitled, the court asks by this writ on what grounds he is acting in this position.
• This writ prohibits a person or an officer from performing an office for which he is not authorized, and thus, this writ prohibits the taking of public office by any person.

Additional InformationCertiorari

• Certiorari, in common law jurisdiction, a writ issued by a superior court to re-examine the action of a lower court.
• A certificate is also issued by an appellate court to obtain information about the case pending before it.
• The writ of certiorari was first an original writ from the Court of Queen's Bench in England ordering the judges of inferior courts to produce certain records.
• The litigation was later expanded to include chancery (equity) courts.
• The writ was abolished in 1938, but the High Court retained the right to order authenticity.
• Such orders have been useful in reviewing decisions of administrative courts that have no regular means of appeal, particularly in reviewing questions of error in the admission and exclusion of evidence.

Habeas Corpus

• Habeas corpus is a type of legal mandate by which a person arrested for illegal reasons can be released.
• A habeas corpus mandate is an order issued by the court to the police or other arresting state body to produce the prisoner in court and to report the charges against him to the court.
• This order can be obtained by the arrested person himself or any of his associates by pleading with the court.

In the olden days, there was no restraint on the police and if they arrested any ordinary citizen, they were not held accountable to anyone.

• The principle of habeas corpus gives protection to ordinary citizens by stopping such arbitrariness.

Prohibition

• Prohibition is an equitable remedy, a remedy that originated in the English courts.
• When a court employs an extraordinary measure of prohibition, it directs the conduct of a party, and does so with the support of all its coercive powers.
• A party that fails to comply with an prohibition faces criminal or civil penalties, including possible monetary sanctions and even imprisonment.

The correct answer is First.

Key Points

• Astrophysics (IOAA) 2021, organized by Colombia, and held in online mode from 14 to 21 November 2021.
• India was placed in the top position, jointly with Thailand and Russia in the country-wise medals tally.
• Four of the five Indian students participating in the competition won the gold medal and the fifth the silver.

Additional Information

• International Olympiad on Astronomy and Astrophysics (IOAA)
• ​An international competition for high-school students along the lines of the other International Science Olympiads, covering the fields of Astronomy and Astrophysics.
• The next Event will be the 15^th IOAA, to be hosted at Kutaisi in Georgia from 14^th to 22^nd August 2022.

Shortcut Trick

Let initial CP₁ = 100 units. Initial SP₁ = 137.5 units (at 37.5% profit).

New CP₂ = 100 − 12.5 = 87.5 units. New SP₂ = 87.5 × 1.1 = 96.25 units.

Difference in SP = 137.5 − 96.25 = 41.25 units. Given 41.25 units = ₹330.

1 unit = 330 ÷ 41.25 = 8. So, Original CP = 100 × 8 = ₹800.

Percentage less than ₹1,000 = [(1,000 − 800) ÷ 1,000] × 100 = 20%.

∴ The correct answer is 20%.

Alternate Method

Given → Initial profit = 37.5%, CP reduction = 12.5%, SP reduction = ₹330, New profit = 10%. Formulas: SP = CP × (100 + P%) ÷ 100 | Percentage difference = (Diff ÷ Base) × 100.

⇒ Let Initial CP be 100x. Then Initial SP = 137.5x. ⇒ New CP = 100x − 12.5% of 100x = 87.5x. ⇒ New SP = 87.5x + 10% of 87.5x = 87.5x + 8.75x = 96.25x. ⇒ Difference in SP = 137.5x − 96.25x = 41.25x. ⇒ According to question: 41.25x = 330 ⇒ x = 330 ÷ 41.25 = 8. ⇒ Original CP = 100 × 8 = ₹800. ⇒ Required Percent = [(1,000 − 800) ÷ 1,000] × 100 = (200 ÷ 1,000) × 100 = 20%.

∴ The correct answer is 20%.

Additional Information

Fractional Conversion

37.5% can be written as 3/8. This often simplifies calculations involving Cost Price and Selling Price ratios.

Percentage Comparison

To find by what percent A is less than B, use formula: [(B − A) ÷ B] × 100.

The correct answer is Aluminium.

Key Points

Aluminium

• It is the third most abundant element, and the most abundant metal, in the Earth's crust.
• The global production of aluminium in 2016 was 58.8 million metric tons.
• It is abundant because it is never found free in nature.

Additional Information

• Barium
• Barium is a soft, silvery alkaline earth metal.
• Because of its high chemical reactivity, barium is never found in nature as a free element.
• The most common minerals of barium are baryte and witherite.
• Titanium
• Found in nature only as an oxide.
• It can be reduced to produce a lustrous transition metal with a silver colour, low density, and high strength, resistant to corrosion in seawater, aqua regia, and chlorine.
• Manganese
• It is a hard, brittle, silvery metal, often found in minerals in combination with iron.

Explanation:

⇒ 5¹ + 1 = 6

⇒ 5² + 2 = 27

⇒ 5³ + 3 = 128

⇒ 5⁴ + 4 = 629

⇒ 5⁵ +  5 = 3130

⇒ 5ⁿ +  n general term

Hence, 3130 is the correct answer.

Given:

• 'You are bad' is written as 'YO LO PO'
• 'Schools are bad' is written as 'NO PO YO'
• 'You are human' is written as 'LO PO RO'

Thus, bad is coded as YO, are is coded as PO and human is coded as RO.

Hence, RO YO PO is the correct answer.

Given:

505xy is divisible by 11 & 21

Concept:

When 505xy is divisible by 11 & 21, it will also be divisible by the LCM of 11 & 21.

Dividend = Divisor x Quotient + Remainder

Calculation:

LCM (11, 21) = 231

By taking the largest 5-digit number 50599 and divide it by 231.

⇒ 50599 = 231 × 219 + 10

⇒ 50599 = 50589 + 10

⇒ 50599 - 10 = 50589 (completely divisible by 231)

⇒ 50589 = 505xy (where x = 8, y = 9)

Now the value of (7x - 5y),

⇒ (7x - 5y) = 7 × 8 - 5 × 9

⇒ 56 - 45 = 11

∴ The value of (7x - 5y) is 11.

The correct answer is Kavitha Rao.

Key Points

• Kavitha Rao is the author of "Lady Doctors: The untold stories of India's first women in Medicine.
• Kavitha Rao unearths the extraordinary stories of six women from the 1860s to the 1930s, who defied the idea that they were unfit for medicine by virtue of their gender.
• This book recovers the stories of India’s first women doctors, often ignored by history. In this excerpt from Kavitha Rao’s ‘Lady Doctors: The Untold Stories of India’s First Women in Medicine, the story of Rukhmabai Raut.

Additional Information

• One of the books by Jairam Naresh is "Light of Asia".
• Kunal Vasu is the Author of Kalkatta.
• The God of Small Thing is Written by Arundhati Roy.

Shortcut Trick

Given Selling Price (SP) = ₹222 and Loss = ₹48.

Calculate Cost Price (CP) = SP + Loss = 222 + 48 = ₹270.

Loss percentage is calculated on Cost Price.

Loss% = (48 ÷ 270) × 100 = (8 ÷ 45) × 100 = 800 ÷ 45 = 160 ÷ 9 = 17 7/9%.

∴ The correct answer is 17 7/9%.

Alternate Method

Given: SP = ₹222, Loss = ₹48.

Formulas: CP = SP + Loss | Loss% = (Loss ÷ CP) × 100

⇒ Cost Price (CP) = 222 + 48 = ₹270

⇒ Loss% = (48 ÷ 270) × 100

⇒ Loss% = (16 ÷ 90) × 100 = 160 ÷ 9 = 17 7/9%

∴ The correct answer is 17 7/9%.

Additional Information

Loss and Cost Price Relationship

When an item is sold at a loss, the Cost Price is always greater than the Selling Price. CP = SP + Loss.

Percentage Calculation

Profit or Loss percentages are always calculated on the Cost Price unless specifically stated otherwise in the problem.

The correct is Article 15.

Key Points

• Article 15 of the Constitution of India forbids discrimination on grounds only of religion, race, caste, sex, or place of birth.
• The State shall not discriminate against any citizen on grounds only of religion, race, caste, sex, place of birth, or any of them.
• Nothing in this article shall prevent the State from making any special provision for women and children.
• Nothing in this article or in clause (2) of article 29 shall prevent the State from making any special provision for the advancement of any socially and educationally backward classes of citizens or for the Scheduled Castes and the Scheduled Tribes.

Additional Information

• Article 16 in The Constitution Of India 1949. Equality of opportunity in matters of public employment. There shall be equality of opportunity for all citizens in matters relating to employment or appointment to any office under the State.
• In Article 19, Everyone has the right to freedom of opinion and expression; this right includes the freedom to hold opinions without interference and to seek, receive and impart information and ideas through any media and regardless of frontiers.
• In Article 17, Untouchability is abolished and its practice in any form is forbidden. The enforcement of any disability arising out of Untouchability shall be an offence in accordance with the law.

The correct is answer Mitochondria.

Key Points

• The proteins synthesized by the proteins in mitochondria are utilized to generate adenosine triphosphate (ATP) from the food.
• This ATP acts as the energy currency of the cell, because of which the whole cell and body get energy. Thus, mitochondria are called the powerhouse of the cells.
• This happens by breaking down food substances such as carbohydrates and fats in the presence of oxygen.
• The ribosomes are non-non-membrane-bound organelles that help in the synthesis of proteins.

Additional Information

• Red blood cells carry oxygen from our lungs to the rest of our bodies. Then they make the return trip, taking carbon dioxide back to our lungs to be exhaled.
• White blood cells are part of the body's immune system. They help the body fight infection and other diseases. Types of white blood cells are granulocytes (neutrophils, eosinophils, and basophils), monocytes, and lymphocytes (T cells and B cells).
• The plasma membrane, also called the cell membrane, is the membrane found in all cells that separate the interior of the cell from the outside environment. In bacterial and plant cells, a cell wall is attached to the plasma membrane on its outside surface.

Given:

∆IJK is an isosceles triangle in which IJ = IK,

and ∠JIK = 60°.

Concept used:

In an isosceles triangle, angles corresponding to equal sides are equal.

sum of angles of a triangle is 180°.

Calculations:

According to question, 

IJ = IK

$\Rightarrow$ ∠IJK = ∠IKJ

Now, in ∆IJK, we have:

∠JIK + ∠IKJ + ∠IJK = 180°

$\Rightarrow$ 60° + ∠IJK + ∠IJK = 180°

$\Rightarrow$ 2(∠IJK)= 120°

$\Rightarrow$ ∠IJK = 120°/2 = 60°

Hence, ∠IJK = 60°

Now, Percentage from which ∠IJK = 60° is less than 120° 

= $\frac{(120°-60°)}{120°}$× 100

= $\frac{60°}{120°}$× 100

= 50%

$\therefore$ The Required perecentage value is 50%.

Statement:

A ≥ B = Q ≤ H < X ≤ K

Conclusions:

I. B < K  → Since B = Q, Q ≤ H, H < X and X ≤ K. So, B < K is true.

II. X > Q →  Since Q ≤ H < X. So, X > Q is true.

Hence, the correct answer is "Both conclusion I and conclusion II are true".

Directions of Deepika are shown in the diagram given below

Therefore, from the above diagram it is clear that Deepika in facing 'North' direction.

Hence, the correct answer is option(3)

Given: 

5.01 + (3.01 × 1.99²) × 4 + 6.01 ÷ 2.03 

Concept : 

BODMAS

Calculations: 

5.01 + (3.01 × 1.99²) × 4 + (6.01 ÷ 2.03)

= 5.01 + (11.92) × 4 + 2.96

=5.01 + 2.96 + 11.92 × 4

= 5.01 + 2.96 + 47.68

= 55.64 ~ 56

Hence, the answer is 56.

Given :

7${2\over 3}$ × 5${3\over 4}$ + 9${1\over 2}$ × 6${3\over 4}$

Calculations :

7${2\over 3}$ × 5${3\over 4}$ + 9${1\over 2}$ × 6${3\over 4}$

= {( 7 + $\frac{2}{3}$ ) × ( 5 + $\frac{3}{4}$)} + {( 9 + $\frac{1}{2}$ ) × ( 6 + $\frac{3}{4}$ )}

= 35 + ($\frac{21}{4}$) + ($\frac{10}{3}$) + ($\frac{1}{2}$) + 54 + ($\frac{27}{4}$) + 3 + ($\frac{3}{8}$)

= 108${5\over 24}$

Hence, the required answer is 108${5\over 24}$

Shortcut Trick

A = 15 days, B = 10 × 3 = 30 days. Let Total Work = 30 units.

Efficiency: A = 2, B = 1. Together (A+B) in 6 days = (2+1) × 6 = 18 units.

Remaining work = 30 − 18 = 12 units. B+C do 12 units in 8 days ⇒ Efficiency (B+C) = 12 ÷ 8 = 1.5.

Efficiency C = 1.5 − 1 = 0.5. Efficiency (A+C) = 2 + 0.5 = 2.5.

Time for A+C = 30 ÷ 2.5 = 12 days.

∴ The correct answer is 12 days.

Alternate Method

Given: Time taken by A = 15 days. B takes 10 days for 1/3 work, so total time for B = 30 days.

Formula Used: Total Work = Efficiency × Time

⇒ Work done by A and B in 6 days = (2 + 1) × 6 = 18 units

⇒ Remaining work = 30 − 18 = 12 units

⇒ Efficiency of B + C = Remaining Work ÷ Time = 12 ÷ 8 = 1.5 units/day

⇒ Efficiency of C = Efficiency of (B + C) − Efficiency of B = 1.5 − 1 = 0.5 units/day

⇒ Combined efficiency of A + C = 2 + 0.5 = 2.5 units/day

⇒ Time taken by A + C = Total Work ÷ Combined Efficiency = 30 ÷ 2.5 = 12 days

∴ The correct answer is 12 days.

Additional Information

Work and Efficiency Relationship

Efficiency is inversely proportional to the time taken to complete a work. If A is twice as efficient as B, A will take half the time taken by B.

Fractional Work

If a person completes 1/n part of work in 't' days, the total time taken to complete the full work is n × t days.

Combined Work Formula

If A takes 'x' days and B takes 'y' days, then together they take (x × y) ÷ (x + y) days to complete the work.

The correct answer is Large amounts of loans.

Key Points

• A large amount of loan is not a basic principle of micro-financial institutions in India.
• The functions of Microfinance institutions are:
• Maintain macroeconomic stability.
• Avoid interest-rate caps.
• Refrain from distorting the market with unsustainable subsidized.
• High-delinquency loan programs.

Additional Information

• MFIs are financial companies that provide small loans to people who do not have any access to banking facilities.
• The definition of “small loans” varies between countries. In India, all loans that are below Rs. 1 lakh can be considered as microloans.
• Various types of institutions offer microfinance: 
• ​Credit unions.
• Commercial banks.
• NGOs (Non-governmental Organizations).
• Cooperatives, and sectors of government banks.
• The emergence of “for-profit” MFIs is growing. In India, these 'for-profit' MFIs are referred to as Non-Banking Financial Companies (NBFC).

The correct answer is Shooting.

Key Points

• Sports Journalists' Federation of India (SJFI) Para-athlete Woman of the Year Award 2021 winner Avani Lekhara plays Shooting.
• SJFI Medal is the highest honour of SJFI.
• SJFI was born in Calcutta.
• It was on 27 February 1976 that the Sports Journalists Federation of India (SJFI) was formed at the Eden Gardens, Calcutta, during the inaugural year of the J.K. Bose Cricket Tournament. The cream of sports scribes from Delhi, Calcutta, and Bombay was involved in forming the federation.

Additional Information

• There are other national sports awards like:
• Khel Ratna Award.
• Arjuna Award.
• Dronacharya Award.
• Major Dhyan Chand Award.
• Maulana Abul Kalam Azad Trophy.
• Rashtriya Khel Protsahan Puruskar.
• Tenzing Norgay National Adventure Award.

The correct answer is 7.

Key Points

• pH stands for the power of hydrogen.
• It is a measurement of the hydrogen ion concentration in the body.
• The pH scale measures how acidic or basic a substance is.
• The total pH scale ranges from 1 to 14, with 7 considered to be neutral.
• A pH less than 7 is said to be acidic and solutions with a pH greater than 7 are basic or alkaline.

Additional Information

• pH is really a measure of the relative amount of free hydrogen and hydroxyl ions in the water.
• Water that has more free hydrogen ions is acidic, whereas water that has more free hydroxyl ions is basic.
• Since pH can be affected by chemicals in the water, pH is an important indicator of water that is changing chemically.
• pH is reported in "logarithmic units".
• Each number represents a 10-fold change in the acidity/basicness of the water.
• Water with a pH of five is ten times more acidic than water having a pH of six.

The correct answer is Monopolies and Restrictive Trade Practices.

Key Points

• MRTP stands for Monopolistic and Restrictive Trade Practices.
• It was established in 1969.
• This law was designed to ensure that the economic system’s operation does not result in the concentration of economic power in the hands of a few.
• It extends to the whole of India except the State of Jammu and Kashmir.

Additional InformationMonopolistic and Restrictive Trade Practices

• The MRTP act was the first substantial legislation with the goal of regulating free and unfettered trade.
• This act was geared toward ensuring distinction between restrictive and monopolistic trade practices.
• The initial objectives of the MRTP Act are mentioned below:
• The law made sure that the economic power does not get concentrated in the hands of a few companies.
• To provide for monopolies control.
• Regulation of monopolistic and restrictive trade practices.
• The objectives of the MRTP act stood as described below:
• MTP - Prohibition of Monopolistic Trade Practices
• RTP - Prohibition of Restrictive trade practices
• UTP - Prohibition of Unfair Trade Practices

Explanation:

Lokesh runs 4 km facing east.

He takes a left turn and runs for another 3 km.

He finally takes a left turn, runs 4 km and stops.

The shortest distance between the starting point and end point is 3 km.

He is facing West direction at the end point.

Hence, West, 3 km is the correct answer.

The correct answer is Windows logo key + L.

Key Points

• To lock your PC in a Windows 10 operating system Windows logo key + L shortcut is used.
• Press and hold the Windows logo key on your keyboard (this key should appear next to the Alt key), and then press the L key.
• Your computer will be locked, and the Windows 10 login screen will be displayed.

Additional InformationShortcuts in Windows 10

• Windows logo key + D is used to display and hide the desktop.
• Ctrl+K is a keyboard shortcut that varies depending on the program used.
• For example, in certain programs, Ctrl+K is used to insert a hyperlink, and in some browsers, Ctrl+K focuses on the search bar.
• Ctrl+L Aligns the line or selected text to the left of the screen.

Shortcut Trick

For half-yearly compounding, Rate (R) = 20% ÷ 2 = 10% and Time (n) = 1.5 × 2 = 3 periods.

Use the Multiplying Factor for 10% over 3 periods: (1.1)³ = 1.331.

Amount = Principal × Multiplying Factor = 4000 × 1.331.

Amount = 4 × 1331 = 5324.

∴ The correct answer is ₹5324.

Alternate Method

Given:

Principal (P) = ₹4000

Annual Rate (R) = 20%

Time (T) = 3/2 years (1.5 years)

Formula Used:

Amount (A) = P(1 + r/100)ⁿ

Where r = rate per conversion period and n = number of periods.

Calculations:

⇒ Half-yearly Rate (r) = 20% ÷ 2 = 10%

⇒ Number of half-years (n) = (3/2) × 2 = 3

⇒ Amount (A) = 4000(1 + 10/100)³

⇒ A = 4000 × (11/10) × (11/10) × (11/10)

⇒ A = 4000 × (1331/1000)

⇒ A = 4 × 1331

⇒ A = 5324

∴ The correct answer is ₹5324.

Additional Information

Compounding Conversion Rules

For half-yearly compounding: Rate = R/2, Time = 2T. For quarterly compounding: Rate = R/4, Time = 4T.

Effective Interest Rate

The actual interest earned annually when compounding occurs more than once. For 10% per half-year, the effective annual rate = 10 + 10 + (10×10)/100 = 21%.

Difference between SI and CI

Difference for 2 years (D₂) = P(r/100)². For 3 years (D₃) = P(r/100)² × (3 + r/100).

Given:

Numbers given 536 , 1064 and 1928 .

Calculations:

HCF of 536 , 1064 and 1928 is 8.

∴ The greatest number that exactly divides 536 , 1064 and 1928 is 8.

Given:

65, 180, 81, 6, 63, 27, 122, 8, 165, 50

Concept used:

The median of 1, 2, and 3 is  2.

Calculations:

According to concept, 65, 180, 81, 6, 63, 27, 122, 8, 165, 50  should be arranged in ascending order.

6, 8, 27, 50, 63, 65, 81, 122, 165, 180

Now, according to concept,

Median = $\frac{(63+65)}{2}$ = 64

$\therefore$ Median is 64.

Statements:

1. All glasses are plates.
2. No plate is a spoon.

The least Possible Venn diagram for the given statements is as follows:

Conclusions:

I. Some glasses are spoons is false. No plate is spoon and all glasses are spoon implies no glasses are spoon.

II. No spoon is a glass is true as this can be concluded using statement 2 and the venn diagram.

Hence, Only conclusion II follows is the correct answer.

The correct answer is bacterium.

Key PointsTetanus

• Tetanus is a serious disease of the nervous system caused by a toxin-producing bacterium.
• The disease causes muscle contractions, particularly of your jaw and neck muscles.
• Tetanus is commonly known as lockjaw.
• There's no cure for tetanus.
• Treatment focuses on managing symptoms and complications until the effects of the tetanus toxin resolve.

Additional Information

• Signs and symptoms of generalized tetanus include:
• Painful muscle spasms and stiff, immovable muscles (muscle rigidity) in your jaw.
• The tension of muscles around your lips sometimes produces a persistent grin.
• Painful spasms and rigidity in your neck muscles.
• Difficulty in swallowing.
• Rigid abdominal muscles.

Given:

Anmol can complete a piece of work in 25 days.

Anmol and Garima can complete the same work in 15 days.

Anmol and Aseema working together can complete the same work in 20 days.

Calculations:

According to the question,

Work done by Anmol in one day = 1/25

Work done by Anmol and Garima in one day = 1/15

Work done by Anmol and Aseema in one day = 1/20

Work done by Garima in one day = (Work done by Anmol and Garima in one day) - (Work done by Anmol in one day)

⇒ 1/15 - 1/25 = (5 - 3)/75 = 2/75

Work done by Aseema in one day = (Work done by Anmol and Aseema in one day) - (Work done by Anmol in one day)

⇒ 1/20 - 1/25 = (5 - 4)/100 = 1/100

Work done by Garima and Aseema in one day = (Work done by Garima in one day) + (Work done by Aseema in one day)

⇒ 2/75 + 1/100 = (8 + 3)/300 = 11/300

∴ Garima and Aseema working together can complete the same work in 300/11 days.

Given :

• CABLE is coded as 65@7#

And,

• PARKLET is coded as 85917#2

Similarly,

From given codes we can conclude that,

• ELRAP is coded as '?'

 

Hence, #7958 is the correct answer.

Explanation:

Statements:

a) All tops are t-shirts.

b) Some shrugs are t-shirts.

The venn diagram based on the given statements will be as follows:

Conclusions:

I. Some tops are shrugs is false as there is no definite relation between tops and shrugs.

II. All T-shirts are tops is false because some t-shirts are top and all tops are t-shirts.

Hence, Neither conclusion I nor II follows is the correct answer.

The correct answer is Bhutia.

Key Points

• The Bhutia constitute a majority of the population of Bhutan.
• They live mainly in the western and central regions of the country.
• They form minorities in Nepal and India.
• Particularly in the Indian state of Sikkim.
• They speak various languages of the Tibeto-Burman branch of the Sino-Tibetan language family.

Additional Information

• Kota is a city in Rajasthan.
• Malasar is a village in Bikaner, Rajasthan.
• Kurumbas (or) Kurumbar are a designated Scheduled Tribe or an indigenous community in the Indian states of Karnataka, Kerala and Tamil Nadu.
• The Kurumbar are one of the earliest known inhabitants of the Western Ghats, who are engaged in the collection and gathering of forest produce, mainly wild honey and wax.
• The members of this community are short, have dark skin, and have protruding foreheads.
• Kurumbar are partially Sanskritized to believing in Hinduism.
• The main deity of the tribe is Lord Shiva under the name of Bhairava.
• They also worship animals, birds, trees, rock hillocks, and snakes, along with the other Hindu deities.

The correct answer is Lord Rishabhdev.

Key Points

Soniji Ki Nasiya Temple

• The Jain Temple of Ajmer is a magnificent Jain temple from the point of view of architecture, located in Ajmer city of Rajasthan.
• It is also known as 'Sonji Ki Nasian'.
• It was built in the late 19^th century.
• Its main hall is called 'Swarna Nagri' (City of Gold).
• In this room there are many gold-preserved wooden works in which there are depictions related to Jainism.
• In this room there is a grand depiction of Ayodhya in which 1000 kg of gold has been used.

Additional InformationLord Ajitnath

• Ajitnath was a Jain Tirthankar, born in the royal family of Ayodhya.
• His father's name was Jitshatru and mother's name was Vijaya.
• Birthplace: Lord Ajitnath was born in Ayodhya to King Jitshatru and Queen Vijaya.
• Birth Date (Janm Kalyanak): He was born on the Ashtami (8^th day) of Shukla Paksha (waxing moon) in the Magha month.
• Nirvana Date: The Panchami of Chaitra Shukla refers to a separate event (likely Nirvana or another Kalyanak).
• Ajitnath is considered the second Tirthankara of Jainism.
• He was the owner of abundant wealth, full of devotion, valor, valor and devotion. He was estranged from the influence of Acharya Aridaman.

Lord Mahavir

• Lord Mahavir was the twenty-fourth Tirthankara of Jainism.
• Lord Mahavir was born about two and a half thousand years ago (599 years before BC), Ayodhya Ikshvakuvanshi Kshatriya family in Kundagram of Vaishali Republic.
• At the age of thirty, Mahavira renounced the glory of the kingdom, detached from the world, and after adopting sannyasa, set out on the path of self-welfare.

Lord Chandraprabh

• Chandraprabh ji is the eighth Tirthankara of the present Avarspini period.
• Chandraprabh ji was born in the holy city of Chandrapuri on Krishna Paksha Dwadashi of Paush month in Anuradha Nakshatra.
• His mother's name was Lakshmana Devi and father's name was Raja Mahasen.
• The name of the Yaksha of Chandraprabha was Ajit and the name of the Yakshini was Manovega.
• According to Jain religion, the total number of Ganadhars of Chandraprabha was 93, in which Din Swami was his first Ganadhar.

Family Chart:

Given:

'P + Q' means 'P is the daughter of Q'

'P × Q' means 'P is the son of Q'

'P − Q' means 'P is the wife of Q'

Let us first decode the given symbols and then draw a family tree.

Given: 'A + B − C × D'

1. A + B 

It means A is daughter of B.

2. B - C 

It means B is wife of C.

3. C × D

It means C is son of D.

Now, check all the options:

1. B is the son of D → False (B is the daughter-in-law of D) 2. A is the daughter of D's Son → True (A is the granddaughter of D) 3. B is the daughter of D → False (B is the daughter-in-law of D) 4. C is the wife of D → False (C is the son of D)

Hence,  A is the daughter of D's Son is the correct answer.

The correct answer is Purandar Das.

Key PointsPurandar das

• Purandara Das was revered as the father of Carnatic music.
• He is widely known as 'Sangeet Pitamah' in recognition of his significant contribution to Carnatic music.
• He was a great devotee of Lord Krishna, Vaishnava poet, saint and social reformer.
• His guru Vyasatirtha narrates the glory of Purandar Das in a song: Dasrender Purandar Darasarai.

 Additional InformationTyagaraja

• Tyagaraja was a Bhaktimargi poet and a great musician of Carnatic music.
• He enriched the society and literature as well as art.
• He was rich in versatility.
• He composed hundreds of devotional songs in praise of Lord
• Rama and his the best known Pancharatna works are often sung at religious events.

M. D. Ramanathan

• M. D. Ramanathan was a Carnatic music composer and singer who created a distinctive style of singing rich in Bhava and Laya.
• He was selected for the Sangeet Kalanidhi Award of the Madras Music Academy in 1983.
• Ramanathan composed over 300 songs in Carnatic music in Tamil, Telugu and Sanskrit.
• He used the word Varadasa as his currency in relation to his teacher Tiger Varadachari.

The correct answer is Bihar.

Key PointsJat-Jatin

• In the Indian state of Bihar, the Jat-Jatin is a popular folk dance.
• It is particularly well-known in North Bihar, particularly in the Mithila and Koshi regions.
• Women's dance Jat Jatin is supposed to be performed on moonlit nights during the monsoon season.
• From midnight to morning, grown-up girls and young housewives assemble in the courtyard to dance to the beat of a drum.
• It is usually done by two people.

Additional InformationFolk the dance of Madhya Pradesh

• The Muria dance, Madhya Pradesh is a famous folk dance of Madhya Pradesh and is performed near the Ghotul compound.
• The dance starts with the boys carrying ritualistic offerings along with the bridegroom to the ceremonial place.
• In this dance, there are a variety of movements.

Folk dance of Assam

• Bihu is the most popular folk dance in Assam.
• Bihu dances are performed by young boys and girls during the Bihu festivities which represent youthful passion, reproductive urge, and joy.
• It is characterized by brisk dance steps and rapid hand movement.

Folk dance of Chhattisgarh

• The most famous dance drama of the State is Pandwani, which is a musical narration of the great Hindu epic Mahabharata.
• Raut Nacha ( folk dance of cowherds), the Panthi and Soowa are some of the other famous dance styles of the region.

LOGIC : Square of first number + Half of first number = Second number

Lets check each option:

A. 2² + 1 = 5

B. 4² + 2 = 18

C. 6² + 3 = 39

D**.** 8² + 4 = 68 ≠ 66

D does not belong to this group.

Hence, D is the correct answer.

The correct answer is Russia.

Key PointsUral Industrial Region

• The Urals are a mountain range in western Russia that runs from north to south.
• It geographically separates Asia and Europe.
• The Ural Industrial Region is located in Russia.
• It is considered a part of the Eurasian Steppe.
• The border between Europe and Asia runs along the eastern side of the Ural Mountains.
• The Urals lie mostly within Russia, but also include a small part of northwestern Kazakhstan.
• It is not a historical, official entity, it has borders overlapping neighboring regions of the Western Volga and Eastern Siberia.

Additional InformationNorthern Ural Range

• It starts from the Gulf of Kara and extends in the south-west up to 64 degrees north latitude.
• There are many clear chains found in this.
• This mountain range is rocky, rough and more sloping towards the southeast and less sloping towards the swamps of European Russia.

Middle Ural Range

• Its width is about 125 km.
• There are iron, copper and gold mines here.
• The Middle Ural is bordered by the Denezhkin Kamen (4,908 ft) to the north.

Southern Ural Range

• It is divided into three parallel chains extending north-east and south-west.
• To the south there is a plateau area of ​​about 1,500 feet high in which deep valleys of rivers are found.
• This region extends to the Bolga.

The correct answer is Liquor.

Key Points

• In the 1991 policy, except for 18 major industries, all other industries were exempted from licensing, which reduced the number of industries to 5 due to the need for licensing.
• Industries for which a license is now mandatory
• distillation of alcoholic beverages
• Cigar cigarettes of tobacco and other alternatives to regulated tobacco
• Electronic Aerospace & Security Equipment
• Industrial Explosives - Industrial explosives including detonative fuses, safety fuses, gun-powder, nitrocellulose and matches
• Hazardous Chemicals

 Additional InformationIndia's 1991 Industrial Policy

• New Industrial Policy 1991 was announced in 1991 in the Lok Sabha on July 24, 1991.
• This policy was announced by the Minister of State for Industry, P.J. Made by Thungan.
• Prior to the new industrial policy, prior permission of the Government of India was mandatory before foreign investment in India or bringing new (foreign) technology into India.
• Government interference and the approval process were creating unwanted delays in business decisions.
• In the new industrial policy, a list of priority industries related to high-tech and high investment was made, in which FDI up to 51 per cent was automatically allowed.
• Under the new industrial policy, the requirement of obtaining permission from the central government before setting up industries in cities with a population of less than 10 lakhs has been dispensed with.

Given:

3.5 × 0.5 × (4.4 − 0.625 ÷ 1.5625)

Concept used:

Calculations:

3.5 × 0.5 × (4.4 − 0.625 ÷ 1.5625)

⇒ 3.5 × 0.5 × (4.4 - 0.4)

⇒ 3.5 × 0.5 × (4)

⇒ 3.5 × 2 = 7 

∴ The simplified value of the given equations is 7.

The positional values of English alphabet is as follows:

The pattern followed here is as follows:

'HOME' is written as 'LROF'

'EYE' is written as 'HAF'

 

'SO' is written as 'UP'

Similarly, 

'HOUSE' will be written as:

Hence, MSXUF is the correct answer.

The correct answer is Break-even point.

Key Points

• The point on the supply curve at which an enterprise earns only normal profit is known as the break-even point of the enterprise.
• The break-even point is the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business.
• In other words, you've reached the level of production at which the costs of production equal the revenues for a product.
• The formula to calculate the Break-even point is: Break-Even Point (Units) = Fixed Costs ÷ (Revenue per Unit – Variable Cost per Unit)

Additional Information

• The supply curve is a graphic representation of the correlation between the cost of a good or service and the quantity supplied for a given period.
• In a typical illustration, the price will appear on the left vertical axis, while the quantity supplied will appear on the horizontal axis.
• Supply curves can often show if a commodity will experience a price increase or decrease based on demand, and vice versa.
• On most supply curves, as the price of a good increases, the number of goods supplied also increases.
• The supply curve is shallower (closer to horizontal) for products with more elastic supply and steeper (closer to vertical) for products with less elastic supply.
• The supply curve, along with the demand curve, are the key components of the law of supply and demand.

Friends : M. N, O, P and R. All are facing towards the centre of the table.

1)  M is seated second to the right and N is seated third to the right of O.

2) P is seated second to the left of N.

Clearly, when counted from the left of O. R is seated between N and O.

Hence, the correct answer is "Only R".

Shortcut Trick

When a cone is melted and recast into a sphere, their volumes are equal: (4/3)πR³ = (1/3)πr²h

⇒ 4 × R³ = 2.8² × 11.2

⇒ R³ = (2.8 × 2.8 × 11.2) ÷ 4 = 2.8 × 2.8 × 2.8

⇒ Radius of sphere (R) = 2.8 cm

⇒ Diameter of sphere = 2 × R = 2 × 2.8 = 5.6 cm

∴ The correct answer is 5.6 cm.

Alternate Method

Given:

Height of the cone (h) = 11.2 cm

Radius of the cone (r₁) = 2.8 cm

Let the radius of the sphere be r₂.

Formula Used:

Volume of cone = (1/3) × π × r₁² × h

Volume of sphere = (4/3) × π × r₂³

Calculations:

Since the solid right circular cone is melted and recast into a sphere, their volumes remain unchanged.

⇒ Volume of Sphere = Volume of Cone

⇒ (4/3) × π × r₂³ = (1/3) × π × r₁² × h

⇒ 4 × r₂³ = (2.8)² × 11.2

⇒ 4 × r₂³ = 2.8 × 2.8 × 11.2

⇒ r₂³ = (2.8 × 2.8 × 11.2) ÷ 4

⇒ r₂³ = 2.8 × 2.8 × 2.8

⇒ r₂ = 2.8 cm

⇒ Diameter of the newly formed sphere = 2 × r₂

⇒ Diameter = 2 × 2.8 = 5.6 cm

∴ The correct answer is 5.6 cm.

Additional Information

Melting and Recasting Principle

When any regular 3D shape is melted and recast into another shape, the overall volume remains constant, irrespective of changes in surface area.

Volume and Surface Area of a Cone

Volume = (1/3)πr²h | Curved Surface Area = πrl, where slant height l = √(r² + h²).

Volume and Surface Area of a Sphere

Volume = (4/3)πr³ | Total Surface Area = 4πr².