RRB NTPC CBT 2 (Level-2) Official Paper (Held On: 16 June 2022 Shift 2) (Previous Year Paper)

• my → mi
• vintage → ve
• house → sa

So the code for "my vintage house" will be "sa mi ve". 

Hence the correct answer is "sa mi ve".

Mistake Points

• The given language is a code language, so we cannot determine the order of the words.
• Therefore, "sa mi ve" or "mi ve sa" or "sa ve mi" - all these are valid answers.

GIVEN:

Five people C , D, X , Y and Z  each scored different marks in the same test.

all scores are in whole numbers 

CALCULATION :

⇒ As, D scores second lowest marks i.e. 40  and  X > D  but X < 45

⇒ 45 was not the highest score.

So, highest score   > 45 > X > D 40 > lowest score.

⇒ As,  given in the question C did not score least and is an even number.

 Hence, only position left for C is the highest score , which should be an even number.

So, C >  45 

Therefore, among all the above options only option (3) i.e. 46 satisfy the condition.

Hence, the correct answer is 46.

The correct answer is Nati.

Key Points

• Nati
• The very famous folk dance of Himachal Pradesh is known as Nati.
• Himachal has not forgotten about its rich culture and historical heritage, even after modernisation.
• Nati is mostly connected to Himachal Pradesh's Kullu district.
• The dance tells the story of Krishna and the Gopis and represents the Raas Lila.
• Tunis is the name given to musicians in this region and they perform using the dhol, flute, nagara, karnal, narsingha, and a shenai.
• The dancers conduct a Yagya as a homage to the Gods and Goddesses at the end of a Nati dance.

Additional Information

The correct answer is road.

Key Points

• Golden Quadrilateral (GQ)
• Atal Bihari Vajpayee, who served as prime minister at the time, laid the foundation for the Golden Quadrilateral (GQ) Highway project in 1999.
• The GQ is the fifth-longest highway in the world and the longest road project in India.
• The National Highways Authority of India (NHAI), a division of the Ministry of Road, Transport, and Highways, is in charge of maintaining the GQ project.
• It essentially consists of a network of highways that connects Delhi (North), Chennai (South), Kolkata (East), and Mumbai, (west) the country's four largest metropolitan cities.
• In addition to building new express roadways, the Golden Quadrilateral project also renovated and added four or six lanes to existing routes.

Additional Information

• Although the project's planning was finished in 1999, actual construction didn't begin until 2001.
• Despite being expected to be finished by 2006, it actually started operating in January 2012.
• The Golden quadrilateral measures 5,846 kilometres in total length.
• State highways and rural-urban routes are not included in the Golden Quadrilateral.
• The project's expected cost was INR600 billion, however it was one of those that was finished for roughly INR308.58 billion, or nearly half of the estimated cost
• Benefits of GQ
• ​provides more efficient transportation systems connecting major cities and ports.
• connects to the country's key agricultural, industrial, and cultural centres.
• allows for easier movement of people and goods throughout the nation.
• allows for industrial growth and the creation of jobs in smaller communities by providing access to a variety of markets.

Given:

Area of base (circle) of the cylinder = 1386 cm²

Height (h) of the cylinder = 30 cm

Formula used:  

Cylinder volume = π x (radius)² x height 

Area of the circle = π x (radius)²      [Radius (r)] 

Calculation: 

Area of the circle = π x (radius)² 

⇒ 1386 = π x (r)² …......(1) 

⇒ Volume of the cylinder = π x (r)² x height …....(2) 

From (1) and (2) we get, 

⇒ Volume = 1386 x h 

⇒ Volume = 1386 x 30 = 41580 cm³

∴ The volume of a cylinder (in cm3) is 41580 cm3.

The correct answer is President of India.

Key Points

• Chief Election Commissioner (CEC)
• The administration of the Union and State election processes in India is the responsibility of the independent, constitutional Election Commission of India (ECI).
• The organisation administers elections for the President and Vice President of India as well as the Lok Sabha, Rajya Sabha, and State Legislative Assemblies.
• In the commission, there are two Election Commissioners (EC) and the Chief Election Commissioner.
• The CEC and election commissioners are chosen by the President of India.
• They are appointed for a definite period of six years, or until they reach the age of 65.

Additional Information

• New Delhi serves as the commission's secretariat.
• CEC and EC have the same privileges and positions as Indian Supreme Court (SC) judges, including the same pay and benefits.
• According to Section 2 of Article 124 of the Constitution, the President appoints the Chief Justice of India and the Supreme Court judges.
• According to Article 75, the Prime Minister shall be chosen by the President, but in order to remain in office, the Prime Minister must have the support of the majority of the Lok Sabha members, who are chosen directly every five years.
• The Lok Sabha speaker is chosen inside the Parliament by the members of the lower chamber. These representatives are referred to as "House of the people" in the Parliament. The 552 members who make up the Parliament vote to elect the speaker.

Given: Anand, Balu, Charan, Dinesh, and Tom are sitting on a staircase

1: Anand is sitting exactly below Tom.

2: Tom is sitting exactly below Balu. So, there are three possibilities.

3:  Charan is sitting exactly between Anand and Dinesh. So, Case I and Case III is eliminated.

So, Anand is sitting exactly between Tom and Charan.

Hence, Anand is the correct answer.

The correct answer is Binary digit.

Key Points

• Binary digit (bit)
• The smallest unit of data that a computer can process and store is a bit (binary digit).
• Similar to an on/off light switch, a bit is always in one of two physical states.
• Usually a 0 or 1, the state is represented by a single binary integer.
• However, yes/no, on/off, or true/false can also be used to describe the state.
• Capacitors are used to store bits in memory because they can store electrical charges.
• Each bit's state, which in turn determines its value, is determined by the charge.
• The majority of systems, process and store data in bytes, even if a computer may be able to evaluate and alter data at the bit level.

Additional Information

• A byte is an eight-bit string that is regarded as a single unit.
• How bits work 
• The place value, also known as the bit value, is the value that is assigned to each bit in a byte.
• Based on the individual bits of a byte, the place values are utilised to explain the meaning of the byte as a whole.
• Each bit is given a place value in a right-to-left pattern, with the value starting at 1 and increasing by doubling for each bit.

The correct answer is Article 360.

Key Points

• Financial emergency
• If the Indian President thinks a situation has arisen that threatens India's financial stability, its credit, or any portion of its territory, he declares a financial emergency.
• Article 360 of the Indian Constitution authorises the declaration of a financial emergency in that country.
• Grounds of Declaration for Financial Emergency
• It states that the President may declare a financial emergency if he is sure that India's financial stability or credit, or any element of it, is in risk.
• The executive and legislative authorities will be centralised in such a scenario.
• According to the 38th Amendment Act of 1975, the president's declaration of a financial emergency is definitive, conclusive, and cannot be challenged in court on any grounds.
• The clause included by the 38th Amendment Act of 1975, which suggests that the president's satisfaction is subject to judicial review, was repealed by the 44th Amendment Act of 1978 (that is, it can be challenged in court).

Additional Information

• The Financial Emergency has not yet been declared in India.
• Consequences of financial emergency:
• Any of the States may receive financial guidance from the Union Government.
• The President may request that all or a specific class of government employees have their salary and benefits reduced by the States.
• After being approved by the State Legislature, the President may request that the States hold all money bills for consideration by the Parliament.
• The President may also direct the Central Government employees, including the Supreme Court and High Court Judges, to receive lower salaries and benefits.
• Article 365 empowers the President of India to intervene in the functioning of a state government if it is not adhering to Constitutional principles.
• As per Article 359,  In times of national emergency, the President of India is permitted to suspend the right to petition any court for the enforcement of fundamental rights.
• When war, external aggression, or armed rebellion threatens the security of India or a portion of it, the President is authorised by Article 352 to proclaim a national emergency.

GIVEN:

12 numbers in an ascending order 

mean of last 11 numbers =9

mean of all 12 numbers =11

second number = $66\frac{2}{3}$% more than first number 

FORMULA USED:

Mean = sum of the terms ÷ number of terms .

Ascending order = arrange the series that begins with the least or smallest and ends with the greatest or largest .

CALCULATION :

Let the numbers be a >b >c>d>e>f>g>h>i>j>k>l 

mean of last 11 numbers = 9

⇒ (b + c +d + e + f+ g+ h + i +j + k + l) ÷ 11 = 9

⇒ ( b + c+ d+ e+ f+ g+ h + i + j+ k + l) = 99 .......(1)

Now, mean of all 12 numbers = 11 

⇒ ( a+ b+ c + d+ e + f + g + h+ i + j + k + l) ÷ 12 = 11

⇒ ( a + b + c + d + e + f + g + h + i + j + k + l ) = 132 ......(2)

Now, on subtracting eq. 1 from 2 i.e. (2) -(1) we get,

(a + b + c + d + e + f + g + h + i + j +k + l ) - ( b + c + d + e + f + g + h + i +  j + k + l) = ( 132 - 99)

⇒ a = 33 

Now, second number = $66\frac{2}{3}$% more than first number

⇒ b=  2/3 × 33 +33 

⇒ b= (22+33) = 55.

∴ The value of second number is 55.

The correct answer is Palk Strait.

Key Points

• Palk Strait 
• It is a strait between the Tamil Nadu state of India and the Jaffna District of the Northern Province of the island nation of Sri Lanka.
• Sri Lanka and India are separated by the Palk Strait.
• The Gulf of Mannar, Pamban Island (India), Adam's (Rama's) Bridge (a chain of shoals), and Mannar Island (Sri Lanka) surrounds it on the south (Sri Lanka).
• Palk Bay is another name for the strait's western portion.
• The strait is less than 330 feet (100 metres) deep, 40 to 85 miles (64 to 137 km) long, and 64 to 137 km wide.
• On the Sri Lankan side, it contains many islands and various rivers, including the Vaigai (India).

Additional Information

• Robert Palk, a governor of Madras from 1755 to 1763 during the Company Raj era, is honoured by the strait's name.
• Palk Strait is distinct because of the high contrast between the waves to its north and south.
• The waves in the Bay of Bengal are primarily swelled to the north, while the waves in Palk Bay are primarily sea waves to the south.
• Despite being heavily influenced by the sea, Palk Bay locations have comparatively small notable wave heights.

Given:

Grouped data = 10-19, 20-29, 30-39, 40-49, 50-59, 60-69, 70-79, 80-89 and 90-99 

Formula used:

Mean = (Sum of the values)/(Total no. of values)

Calculations:

Here the class intervals are not continuous. To make them continuous take the mean of upper limit of the class 70-79 and lower limit of the class 80-89.

Mean = (79 + 80)/2 = 79.5, 

∴ The upper limit of the class 70-79 is 79.5.

The correct answer is Ibn Battuta.

Key Points

• Rihla
• The Arabic word for a journey or the travelogue that documents it.
• Formal title A Masterpiece to Those Who Contemplate the Wonders of Cities and the Marvels of Travelling.
• This book is a travelogue documenting his lifetime of travel and exploration, which according to his description covered about 70,000 miles.
• Original Language: Arabic
• Ibn Battuta
• Abu Abdullah Muhammad ibn Battutah.
• He was a Berber Maghrebi scholar and explorer who travelled extensively in the lands of Afro-Eurasia, largely in the Muslim world.
• He came to India during the reign of Muhammad bin-Tughlaq.
• He travelled around 117,000 km in pre-modern history.

Additional Information

• Al-Biruni
• One of the most important Muslim authorities in the history of religion.
• Also known as "founder of Indology", "Father of Comparative Religion", "Father of modern geodesy", and the first anthropologist.
• Nationality: Iranian
• Francois Bernier
• French physician and traveller.
• He was associated with the Mughal Court as a personal physician of Dara Shikoh and later as a scientist with Danishmand Khan.
• Hiuen Tsang
• The 7th-century Chinese Buddhist monk, scholar, traveller, and translator.
• He started translating Sanskrit texts that he brought from India and successfully completed the translation of more than 600 Buddhist texts.

Concept used:

The quadratic equation ax² + bx + c = 0 has no real roots only when discriminant D < 0.

D = b² - 4ac < 0

Calculation:

According to the options,

Option 1:

x2 + 4x + 4 = 0

D = b2 - 4ac < 0

⇒ D = 4² - 4 × 1 × 4 

⇒ D = 16 - 16 = 0

Option 2:

x2 + 4x + 5 = 0

D = b2 - 4ac < 0

⇒ D = 42 - 4 × 1 × 5 

⇒ D = 16 - 20 = -4

Option 3:

x2 + 4x - 4 = 0

D = b2 - 4ac < 0

⇒ D = 42 - 4 × 1 × (-4)

⇒ D = 16 + 16 = 32

Option 4:

x2 + 4x - 5 = 0

D = b2 - 4ac < 0

⇒ D = 42 - 4 × 1 × (-5)

⇒ D = 16 + 20 = 36

According to the solution, we can see only Options 2 will not have real roots.

The correct answer is 12.

Key Points

• 12 years implies the period of 12 months immediately preceding the date of application and for 11 years in the aggregate in the 14 years preceding the twelve months.
• A person shall be deemed to be a Person of Indian origin if he/she, or either of his parents, was born in undivided India or in such other territory which became part of India after the 15th day of August 1947.
• Eligibility criteria for application are under the Citizenship Act, 1955 and the Citizenship Rules, 1956.

Additional Information

• Naturalization is the legal act or process by which a non-citizen of a country may acquire citizenship or nationality of that country.
• The rules of naturalization vary from country to country but typically include a promise to obey and uphold that country's laws and taking and subscribing to an oath of allegiance, and may specify other requirements such as a minimum legal residency and adequate knowledge of the national dominant language or culture.

Given:

\(\frac{{10 - \left[ {\frac{3}{4} + \left{ {4\frac{1}{2} - \left( {\frac{1}{4} + \frac{1}{{84}}} \right)} \right}} \right]}}{4} = ?\)

Concept used

BODMAS rule

Calculations:

[10 - [(3/4) + {9/2 - (1/4 + 1/84)}]]  ÷ 4

⇒ [10 - [(3/4) + {9/2 - (21 + 1)/84}]] ÷ 4

⇒ [10 - [(3/4) + {9/2 - (22/84)}]] ÷ 4

⇒ [10 - [(3/4) + {9/2 - 11/42)}]] ÷ 4

⇒ [10 - [(3/4) + {(189 - 11)/42}]] ÷ 4

⇒ [10 - [(3/4) + {178/42}]] ÷ 4

⇒ [10 - {(3/4) + 89/21}] ÷ 4

⇒ [10 - {(63 + 356)/(21 × 4)}] ÷ 4

⇒ [10 - (419/84)] ÷ 4

⇒ [(840 -  419)/84)] ÷ 4

⇒ [421/84] ÷ 4

⇒ [421/336] 

⇒  $1\frac{{85}}{{336}}$

∴ The simplified value of the above equation is  $1\frac{{85}}{{336}}$.

The correct answer is Jawahar Kala Kendra.

Key Points

• Jawahar Kala Kendra:
• Multi arts centre located in the city of Jaipur, India.
• It was built by the Government of Rajasthan with the purpose of preserving Rajasthani arts and crafts.
• The plan of Jawahar Kala Kendra, inspired by the original city plan of Jaipur, consists of nine squares with a central square left open.
• The centre consists of eight blocks housing museums, one Amphi theatre and the other closed auditorium, library, art display rooms, cafeteria, small hostel and art studio.
• Also houses two permanent art galleries and three other galleries. and hosts its own theatre festival each year.

Additional Information

• Raj Bhavan Chikitsalaya
• It is located in Jaipur and is one of the leading businesses in the Clinics.
• This well-known establishment acts as a one-stop destination servicing customers both local and from other parts of Jaipur.
• Jain MM Emitra
• It is a hospital located in Ganganagar, Rajasthan.
• It is the major hospital in Jaipur and Rajasthan state of India.
• This government hospital is staffed with 1500 doctors and 4000 nurses with 6251 beds in 43 wards and daily more than 10000 OPD.
• Raj Palace
• The Raj Palace is an imposing palace hotel that holds you spellbound.
• The hotel houses 50 luxurious rooms and suites.

Alphabetical order with its place value:

According to the positional value of the given table:

Hence, KAOE  is the correct answer.

Explanation:

The possible venn daigram is:

conclusions:

I. All mynas are pigeons. - False  (There is no definite relation between mynas and pigeons. Hence, false)

II.All pigeons are mynas. - True (As, all pigeon are mynas as shown above in venn diagram)

Hence, Only conclusion II follows is the correct answer.

GIVEN:

loss incurred by sheetal = 28% 

selling price of an item = Rs.207 

FORMULA USED :

Loss = (C.P. - S.P. ) where, C.P. and S.P. are Cost Price and Selling Price respectively.

Loss % = (Loss/C.P. ) × 100 

CALCULATION:

28 = [(C.P. - 207)/C.P.] × 100

⇒ 28/100 = (C.P. -207)/C.P. 

⇒ 28 C.P. =( 100 C.P. -20700 )

⇒ 72 C.P. = 20700 

⇒ C.P. = Rs.287.50 

∴ The value of C.P. is Rs.287.50.

Explanation:

• Jhulan walks 7 metres to the south-east from point X.
• Then Jhulan walks 14 metres to the west.
• She then walks 7 metres to the north-west.
• Jhulan walks 4 metres to the east and reaches point Y.

10 metres is the shortest distance between X and Y.

Hence, 10 metres is the correct answer.

The correct answer is Asia.

Key Points

• Dead Sea
• A salt lake bordered by Jordan to the east and Israel and the West Bank to the west.
• Length: 50km
• One of the saltiest bodies of water on Earth, with almost 10 times more salt than ordinary seawater.
• And this is because the water flows into the Dead Sea from one main tributary, the River Jordan. It then has no way to get out of the lake and so is forced to evaporate.
• The human body can't sink in it due to the salinity which makes it heavier and denser than freshwater.

Additional Information

• Continents and Oceans
• A continent is any of several large landmasses.
• Ordered from largest in the area to smallest, seven continents are Asia, Africa, North America, South America, Antarctica, Europe, and Australia.
• Oceanic islands are frequently grouped with a nearby continent to divide all the world's land into geographical regions.
• Oceans are Pacific (the largest), Atlantic, Indian, Southern (Antarctic), and Arctic (the smallest).

Shortcut Trick

Find the LCM of the given intervals: 3, 6, 12, 15, and 18 seconds.

LCM(3, 6, 12, 15, 18) = 180 seconds.

Convert 180 seconds to minutes → 180 ÷ 60 = 3 minutes.

Next tolling time = Initial time + LCM = 9:58:45 + 3 minutes = 10:01:45.

∴ The correct answer is 10:01:45.

Alternate Method

Given:

Intervals of tolling: 3 sec, 6 sec, 12 sec, 15 sec, 18 sec.

First tolling time: 9:58:45 hr.

Formula Used:

The time after which all bells will toll together is the Least Common Multiple (LCM) of their individual tolling intervals.

Calculations:

⇒ Prime factorization of intervals:

⇒ 3 = 3¹

⇒ 6 = 2¹ × 3¹

⇒ 12 = 2² × 3¹

⇒ 15 = 3¹ × 5¹

⇒ 18 = 2¹ × 3²

⇒ LCM = 2² × 3² × 5¹ = 4 × 9 × 5 = 180 seconds.

⇒ Convert 180 seconds to minutes: 180 ÷ 60 = 3 minutes.

⇒ Add 3 minutes to the initial time (9:58:45):

⇒ 9:58:45 + 0:03:00 = 10:01:45.

∴ The correct answer is 10:01:45.

Additional Information

Application of LCM

LCM is used to find the next simultaneous occurrence of events that happen at fixed periodic intervals, such as bells tolling or traffic lights changing.

Time Conversion Rules

To convert seconds into minutes, divide by 60. To convert minutes into hours, divide by 60 again (1 hour = 3600 seconds).

Number of Times Tolling Together

In a given total time T, the number of times bells toll together is (T ÷ LCM) + 1, where '+ 1' accounts for the initial tolling at the start.

GIVEN:

300 people  worked for 50 days and completed half of the work. Next 100 people worked for 120 days. 

Total time taken to complete the work is 250 days 

CONCEPT USED:

Total Work = Time × Number of people 

CALCULATION :

300 people in 50 days = ½ work 

Let one people 1 day's work be a 

⇒Total  work done by 300 people in 50 days = 300a × 50 

Accordingly,

⇒ 300a × 50 =1/2

⇒ a =1/ 30,000

100 people's 120 days work = 100a × 120 =100/30,000 × 120 = 2/5

⇒ Total work done = ( 1/2 + 2/5) = 9/10

⇒Remaining work = 1- 9/10 = 1/10

⇒ Remaining time = 250 -(50+120+20)= 60 days

Then, 

 ⇒Let, the remaining work done by n people. 

⇒ 1/10 = n/30,000 × 60 

⇒ n = 50 

∴ 50 workers must be employed to complete the remaining work on time.

Given: 

Error in measuring sides = 10 % and 8 % 

Formula used:  

Error % = = x + y + xy/100 

Calculation: 

Since  Area of Rectangle = (side)₁ x (side)₂ 

Therefore, error% in area: 

⇒ [10 + 8 + (10 x 8)/100]  

⇒ [18 + (8/10)] 

⇒ [ 18 + 0.8] = 18.8 %  

∴ The error percent in its area is 18.8%.

The correct answer is supply curve.

Key Points

• The supply Curve shows the levels of output that a profit-maximizing firm would choose a product at different values of the market price.

• The supply curve is upward sloping because, over time, suppliers can choose how much of their goods to produce and later bring to market.

Additional Information

• Demand Curve
• **​a graphic representation of the relationship between product price and the quantity of the product demanded.**​
• Performance Curve
• also known as a bell curve, is a systematic measure for assessing employees' performance via a graphic diagram.
• Variable Curve
• A curve that graphically represents the relation between the total variable cost incurred by a firm in the short-run production of a good or service and the quantity produced.​

The correct answer is Priya Malik.

Key Points

• The 2021 World Cadets Wrestling Championships (U17) was the World Cadets Wrestling Championship of combined events and took place from June 19 to 25 in Budapest, Hungary.
• Last year, Priya Malik had become the first Indian woman wrestler to win gold in the 73kg weight class (the highest) at the U17 World.
• Priya Malik won in the women’s 73kg weight category and she has given the country another reason to smile as, on Saturday, weightlifter Mirabai Chanu won a silver medal at the Tokyo Olympics.
• Priya Malik had also won the gold medal in the 2019 edition of Khelo India in Pune and she then went on to clinch gold at the 17th School Games held in Delhi.
• Priya Malik is from Mokhra village in Haryana which has given India the likes of India's first-ever woman Olympic medallist in wrestling, Sakshi Malik.

Additional Information

• Babita Kumari Phogat (born 20 November 1989) is an Indian wrestler, who won the gold medal in the 2014 Commonwealth Games.
• Vinesh Phogat Profile Wrestling Tokyo Olympics: First woman to win Gold in Asian and Commonwealth Games and an Arjuna Awardee.
• Sakshi Malik became the first Indian female wrestler to win a medal at Olympics in Rio 2016.
• Sakshi Malik won the bronze medal in the 58 kg category, becoming the first Indian female wrestler to win a medal at the Olympics.

1) Rewa(A) runs 40 m towards the East to reach a stadium.

2) She then turns right and runs 20 m. Then, she turns right and runs another 18 m to reach a music store. 

3. She turns right and runs 10 m. 

4) After this, she turns left and runs 24 m, and finally she turns right and runs 12 m. 

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

So, Rewa (E) is facing the North direction now.

Hence, the correct answer is "North".

The correct answer is the Brahmaputra.

Key Points

• Jamuna is the downstream course of the Brahmaputra which took place after the earthquake and catastrophic flood between 1782-1787.

Additional Information

• The Brahmaputra enters the plains of Bangladesh after turning south around the Garo Hills below Dhuburi, India.
• After flowing past Chilmari, Bangladesh, it is joined on its right bank by the Tista River and then follows a 240 km (150-mi) course due south as the Jamuna River.
• The Brahmaputra-Jamuna is the second largest river in Bangladesh and one of the largest rivers in the world, flowing through Tibet, China, India and Bangladesh.

Important Points

• The Yamuna also spelt Jamuna, is the second-largest tributary river of the Ganges by discharge and the longest tributary in India.
• After entering Bangladesh, the main branch of the Ganges river is known as the Padma.

The correct answer is 1969. 

Key Points

• Gadgil Formula
• It was named after Dhananjay Ramchandra Gadgil, a social scientist and the first critic of Indian planning.
• The formulation of the third five-year plan(1961 – 1966) for the distribution of plan transfers amongst the states.
• It was adopted for distribution of plan assistance during Fourth and Fifth Five Year Plans.

Additional Information

• The Rashtriya Krishi Vikas Yojana (RKVY) is a continuing scheme under implementation from the 11th Five Year Plan period of the National Development Council (NDC).
• Five-Year Plans
• The First Five-year Plan was launched in 1951 which mainly focused on the development of the primary sector.
• The first prime minister of India Pandit Jawaharlal Nehru was the father of these five-year plans.
• Five-year Plans were formulated by the Planning Commission of India.

The correct answer is Kishori Amonkar.

Key Points

• Carnatic Music
• Carnatic music is known as Karnaṭaka Sangita in the South Indian languages.
• It is a system of music commonly associated with South India, including the modern Indian states of Karnataka, Andhra Pradesh, Telangana, Kerala and Tamil Nadu, and Sri Lanka.
• It has a rich history and tradition.
• Kishori Amonkar
• She was a leading Indian classical vocalist, belonging to the Jaipur Gharana, or a community of musicians sharing a distinctive musical style.
• She was a performer of the classical genre khyal and the light classical genres thumri and bhajan.

Additional Information

• M.S. Subbulakshmi
• Madurai Shanmukhavadivu Subbulakshmi was an Indian Carnatic singer from Madurai, Tamil Nadu.
• She was the first musician ever to be awarded the Bharat Ratna, India's highest civilian honour.
• Priya Sisters
• Shanmukhapriya and Haripriya, popularly known as the Priya Sisters, are Carnatic music singers.
• Bombay Jayashri
• Bombay Jayashri Ramnath is an Indian Carnatic vocalist, singer and musician.
• She has sung in multiple languages including Tamil, Telugu, Kannada, Malayalam and Hindi movies.

This is an alternate number series .

It follows the following pattern :

Hence, the correct answer is 16 .

The correct answer is life expectancy at birth.

Key Points

• Life Expectancy at birth 
• The average number of years that a newborn could expect to live if he or she were to pass through life exposed to the sex- and age-specific death rates prevailing at the time of his or her birth, for a specific year, in a given country, territory, or geographic area.
• Hong Kong has the highest life expectancy.
• Human Development Index
• The statistic composite index of life expectancy, education, and per capita income indicators, is used to rank countries into four tiers of human development.

Additional Information

• Sex ratio
• The sex ratio is the ratio of females to males in a population.
• Qatar has the highest sex ratio, with three males per woman, followed by the United Arab Emirates, having 222 men per 100 women.

The correct answer is Dnyaneshwar.

Key Points

• Dnyaneshwari also referred to as Jnanesvari, Jnaneshwari or Bhavartha Deepika is a commentary on the Bhagavad Gita written by the Marathi saint and poet Sant Dnyaneshwar in 1290 CE.
• Dnyaneshwar took Samadhi at Alandi in 1296 by entombing himself in an underground chamber.

Additional Information

• Acharya Vinoba Bhave wrote a Marathi translation of Bhagwat Geeta, called Geeta.
• Bhagavad Gita, as well as the epic Mahabharata of which it is a part, is attributed to the sage Vyasa, whose full name was Krishna Dvaipayana, also called Veda-Vyasa.

People : A, B, C, D, E, F are sitting around a circular table facing the centre.

1. C sits second to the right of D.

2. A is an immediate neighbour of C.There are two cases of this statement.

Case 1:

Case 2 :

3. Only two people sit between F and A. Therefore, Case 2 is eliminated .

Case 1

4. B sits to the immediate right of F. 

Possible seating arrangement : 

Therefore, D sits third to the left of E.

Hence, the correct answer is "D".

The correct answer is 6.

Key Points

Dadra Tal:

• Dadra taal, which has six beats, is quite popular in the lighter types of music.
• In India, it is frequently heard in qawwalis, film songs, bhajans, gazals, and folk music.
• The name is derived from its resemblance to the dadra singing style.
• This semiclassical form resembles thumri in certain ways.
• The beginning location of the dadra singing style is also where the style gets its name.
• Dadra is extremely well-liked for a variety of reasons. One reason is the simplicity of playing in three and six beats; they are fairly symmetrical and present no difficulty.

Additional Information

Different types of taal

• The taal or tal is a repeating rhythm pattern usually played by the tabla.
• It usually has between six and sixteen beats.
• The beats are grouped into small sections within the pattern.
• There are mainly six types of tal in classical music. They are: Teen taal, dadra taal, keharwa taal, roopak taal, jhap taal, ek taal.
• Teen taal – 16 Beats
  

Dadra taal – 6 Beats

Keharwa taal – 8 Beats

Roopak taal – 7 Beats

Jhap taal – 10 Beats

Ek taal – 12 Beats

Given statement : Q > P ≥ I > J = M ≤ L < E

Conclusions :

(I) J < E = True ( as J = M ≤ L < E )

(II) Q > M = True ( as Q > P ≥ I > J = M ) 

Thus**, Both conclusions follow.** 

Hence, Option 4 is the correct answer.

Given:

The number of students in grades 10 =  348

The number of students in grades 11 = 256

The number of students in grades 12 = 480 

Calculations:

According to the question,

Maximum no. of students in each group = HCF of all grades

⇒ HCF of grade 10 = 348 = 2 × 2 × 3 × 29

⇒ HCF of grade 11 = 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2  

⇒ HCF of grade 12 = 480 = 2 × 2 × 2 × 2 × 2 × 3 × 5

HCF of (348, 256, 480) = 4

Now no. of group in grade 10

⇒ (No. of students)/(No. of students in each group)

⇒ 348/4 = 87

⇒ Now no. of group in grade 11 = 256/4 = 64

⇒ Now no. of group in grade 12 = 480/4 = 120

Now total no. of groups 

⇒ 120 + 87 + 64 = 271

∴ The minimum number of groups that would be formed is 271.

Colleagues : Lewis, Alex, Philip and Siri

1.  Lewis is sitting to the immediate right of Alex. 2.  Philip is sitting to the immediate left of Siri.

Thus , Philip - Alex  is sitting diagonally opposite to each other .

Hence, the correct answer is Philip-Alex.

Given: Six friends A, B, C, D, E and F are sitting on a bench facing north.

(1): B is sitting at one extreme end of the bench. So, there have two possibilities

Case(I): 

Case (II):

(2): F is an immediate neighbour of both just D and B.

Case(I):

Case (II):

(3): A is sitting second to the right of C, who is an immediate neighbour of D. i.e. A is sitting second to the right of C and C is an immediate neighbour of D.

So, Case (II) is eliminated. 

Case (I):

Then, the final arrangement is:

Therefore, A is sitting at the other extreme end. 

Hence, the correct answer is A.

The correct answer is Lt Gen Manoj Pande.

Key Points

Lt Gen Manoj Pande:

• Lt. Gen. Manoj Pande replaced Lt. Gen. C.P. Mohanty, who retired on January 31.
• He replaced Lt. Gen. C.P. Mohanty as the Vice Chief of Army Staff as part of a series of changes to the Army's top leadership.
• He took charge as the new vice chief of the Indian Army on 1st February 2022.
• Lt. Gen. Pande had previously been the Eastern Army Commander.
• In December 1982, he received his commission into the Corps of Engineers (The Bombay Sappers).​

Additional Information

• On January 25, 2020, Lieutenant General Satinder Kumar Saini took over as the Indian Army's 41st Vice Chief of the Army Staff.
• He was the Politician and former Vice Chief of Army Staff (VCOAS) of the Indian Army.
• Lieutenant General Sarath Chand is from India.
• From 13 January 2017 until his retirement on May 31, 2018, he held the position of Vice Chief of Army Staff.
• Lieutenant General Chandi Prasad Mohanty was the former general officer of the Indian Army.
• On February 1, 2021, he became the 42nd Vice Chief of the Army Staff.

The correct answer is Windows logo key + D.

Key Points

• Windows logo key+D
• Windows logo key+D shortcut is used to display and hide the desktop in windows 10.
• This command forces Windows to switch to the desktop immediately and minimize all open windows to the taskbar.
• We can use this same shortcut to bring back those open windows.

Additional Information

• Other Shortcuts
• Ctrl+H shortcut is used to open the find and replace tool in word processors that allow you to search for a word, character or phrase and you can replace it with something else.
• Windows logo key+H shortcut is used to share the content if supported by the active app.
• Ctrl+D shortcut is used to create a new bookmark for the favourite for the current page.

People facing north : F, G, N, O, S, T, Y, Z are sitting in a straight line. 

1. F sits second from one of the extreme ends .

Case 1 :

2. Only three people sit between F and G.

Case 1 :

Case 2 : 

3. N sits second to the right of G .

Case 1 :

Case 2 : 

4. As many people sit to the right of N as to the left of O . 

Case 1 : 

Case 2 :

5. Only two people sit between O and S.

Case 1 :

Case 2 :

6. Y sits at one of the positions to the left of S. ( Thus, case 2 is eliminated ) 

7. T sits at one of the positions to the right of Z.

Thus, 4 people sit to the left of Z . 

Hence, the correct answer is "4".

Given: S, T, U, V, W, X are sitting around a circular table for a meeting, facing the centre. 

1. X is to the immediate left of V.

2.  T is an immediate neighbour of both X and U. 

3. S is an immediate neighbour of both W and V.

Therefore, V is an immediate neighbour of both S and X.

Hence the correct answer is "V".

The correct answer is 243J.

Key Points

Article 243J:

• Article 243J of the Indian Constitution is related with the audit of the accounts of Panchayats.
• According to article 243J, "The Legislature of a State may, by law, make provisions with respect to the maintenance of accounts by the Panchayats and the auditing of such accounts".

Additional Information

Other articles:

• According to article 243C, "The Legislature of a State may, by law, make provisions with respect to the composition of Panchayats: Provided that the ratio between the population of the territorial area of a Panchayat at any level and the number of seats in such Panchayat to be filled by election shall, so far as practicable, be the same throughout the State".
• According to article 243K, " The Legislature of a State the conditions of service and tenure of office of the State Election Commissioner shall be such as the Governor may by rule determine: Provided that the State Election Commissioner shall not be removed from his office except in like manner and on the like ground as a Judge of a High Court".
• According to article 243B, " A Gram Sabha may exercise powers and perform such functions at the village level as the Legislature of a State".

Given:

The ratio of speed of A and B = 4 : 5

Time taken by A = 20 minutes + Time taken by B

Formula used:

Time = Distance/Speed

Concept used:

Whenever the speed is doubled for a fixed distance then the time taken is reduced to half. 

Calculation:

Ratio of time taken by A and B = 1/4 : 1/5 = 5 : 4

Difference between the time taken by A and B:

A - B = 20 minutes

⇒ 5x - 4x = 20 minutes

⇒ x = 20 minutes

⇒ 5x = 20 × 5  = 100 minutes

Now the speed of A is doubled then 

⇒ Time = 100/2 = 50 mins 

∴ Time taken by A when speed of his walking is doubled is 50 mins.

Given:

A and B together can do a piece of work in 30 days.

Together A, B, and C can complete the same work in 24 days.

Calculations:

Work done by (A + B) in one day = 1/30

Work done by (A + B + C) in one day = 1/24

Work done by (C) in one day = Work done by (A + B + C) in one day - Work done by (A + B) in one day 

⇒ (1/24) - (1/30) 

⇒ (5 - 4)/120 = 1/120

∴ C alone complete the same work in 120 days.

Option 4 is the correct answer.

According to the English alphabet series and its positional value : 

The logic followed here is : 

Hence, " M#N5O " is the correct answer.

The correct answer is Members of both houses of parliament.

Key Points

• Members of both Lok Sabha and Rajya Sabha elect the Vice President of India
• The Vice-President is chosen by an electoral college made up of representatives from both Houses of Parliament using a single transferable vote under the proportional representation system.
• Voting in this election is conducted in secret.
• All members of both Houses of Parliament make up the Electoral College, which chooses the Vice-President.

Additional Information

• The Vice-President is not a member of any state legislature or of either house of parliament.
• If a member of either the House of Representatives or the House of the Legislature of any state is elected vice president, that member is assumed to have resigned from that House as of the day they take office.
• To become a Vice President:
• A person should be a citizen of India.
• He has completed the age of 35 years
• He should be qualified for election as a member of the Council of the states.

The correct answer is Troposphere.

Key Points

Troposphere

• The lowest layer of our atmosphere is called the troposphere.
• It begins at ground level and rises to a height of approximately 10 kilometers (6.2 miles or 33,000 feet) above sea level.
• Nearly all weather occurs in the troposphere, where we people reside.
• Because the troposphere contains 99 percent of the atmosphere's water vapor, this is where the majority of clouds form.​

Additional Information

Stratosphere

• From the troposphere to roughly 50 km (31 miles) above the surface, the stratosphere is present.
• The stratosphere contains the protective ozone layer.
• High-intensity ultraviolet (UV) light from the Sun is absorbed by ozone molecules in this layer, which turns the UV energy into heat.

Mesosphere

• The mesosphere is located above the stratosphere.
• It rises to an altitude of roughly 85 km (53 miles) above our planet.
• The mesosphere is where most meteors burn up. As you ascend through the mesosphere, temperatures drop once more, in contrast to the stratosphere.

Thermosphere

• The thermosphere refers to the layer of extremely rare air above the mesosphere.
• The thermosphere heats up to hundreds or even thousands of degrees as a result of the Sun's high-energy X-rays and UV radiation being absorbed there.

Given: 

96 pencils in 12 packets.  

All packets contain the same number of pencils. 

Calculation: 

12 packets contain = 96 pencils

⇒ 1 packet of pencils contain = 96/12 = 8 pencils 

⇒ 304 pencils will be contained in = 304/8 = 38 packets 

∴ 38 packets will be required to contain 304 pencils.

Given:

Principal = Rs.31600

Time = $1 \frac{1}{3}$ years or 16 months 

Rate = 9% Per annum 

⇒ Rate as per 8-monthly basis = 8/12 × 9 = 6% 

Formulas used:

Compound Interest = Amount - Principal 

Amount = P × (1 + R/100)n

Calculation:

Time period = 2 (16 months/8)

Compound Interest = 31600 × (1 + 6/100)² - 31600

⇒ 31600[(106/100)² - 1]

⇒ 31600 × 6/100 × 206/100

⇒ 3905.76~ 3906

∴ Compound Interest = Rs.3906

Statements:

1. Some mangoes are oranges.
2. All oranges are grapes.

The logical Venn diagram is given below : 

Conclusions : 

I. All grapes are oranges. → False ( All oranges are grapes but all grapes can't be oranges )

II. All mangoes are grapes. → False ( Some mangoes e grapes ) 

Hence, option 4 is the correct answer.

The correct answer is Colin Mackenzie.

Key Points

• The Surveyor General of India is the Head of the Department of Survey of India, a Department under the Ministry of Science and Technology of the Government of India.
• Colin Mackenzie was appointed as the first Surveyor General of India in 1815.
• He holds this post from 1815 to 1821.
• It was he who produced the first authentic geographical map of south India.

Additional Information

• Major James Rennell received training in surveying in the Royal Navy.
• He joined the East India Company in 1763 and was the first Surveyor General of Bengal.
• He carried out the first comprehensive geographical survey of India.
• Colonel George Everest was a British surveyor and geographer who served as Surveyor General of India from 1830 to 1843.

In tabular form, the data can be represented as follows:

Code for " new tomorrow" will be coded as " uv mo"

Hence, the correct answer is "option (2)".

Given, 

K% of 280 = 50% of 350 

Concept used:

Simplify L.H.S. = R.H.S.

Calculation: 

(K/100) × 280 = (50/100) × 350 

⇒ K = (50 × 350 × 100)/(100 × 280) 

⇒ K = (50 × 350)/280 

⇒ K = (50 × 5)/4 = 250/4 

⇒ K = 62.5 

∴ The value of K is 62.5.

The correct answer is Satwiksairaj Rankireddy, Chirag Shetty.

Key Points

• On January 16, 2022, the top doubles duo of Satwiksairaj Rankireddy and Chirag Shetty became the first male Indian team to win the Yonex-Sunrise India Open.
• They triumphed over Indonesia's Mohammad Ahsan and Hendra Setiawan, who have won three world championships.
• In addition to winning the Thailand Open Super 500 championship in 2019, Satwik and Chirag also advanced to the French Open Super 750 final.

Additional Information

 Yonex-Sunrise India Open 2022.

• The 2022 India Open also known as the Yonex-Sunrise India Open 2022.
• It was a badminton tournament that took place at the K. D. Jadhav Indoor Hall in New Delhi, India, from 11 to 16 January 2022.
• In 2008, India has hosted the Yonex India Open, an annual badminton competition.
• It is an international badminton competition of the BWF World Tour Super 500 Grade.
• At the 4th Para-Badminton National Championship, which was completed in Bhubaneswar, Odisha, Nitesh Kumar won doubles gold.
• At the BWF World Championships, shuttler Kidambi Srikanth became the first man from India to take home a silver medal.

Shortcut Trick

Apply the unitary method directly:

Cost of 13.5 kg = Rs. 681.75

Cost of 12 kg = (681.75 ÷ 13.5) × 12

Cost of 12 kg = 50.5 × 12 = 606

∴ The correct answer is Rs. 606.00.

Alternate Method

Given:

Quantity 1 (Q₁) = 13.5 kg

Cost 1 (C₁) = Rs. 681.75

Quantity 2 (Q₂) = 12 kg

Formula Used:

Since cost is directly proportional to weight: C₁ ÷ Q₁ = C₂ ÷ Q₂

⇒ Cost of 1 kg grapes = 681.75 ÷ 13.5

⇒ Cost of 1 kg grapes = 68175 ÷ 1350

⇒ Cost of 1 kg grapes = 50.5

⇒ Cost of 12 kg grapes = 50.5 × 12

⇒ Cost of 12 kg grapes = 606

∴ The correct answer is Rs. 606.00.

Additional Information

Unitary Method Concept

The unitary method is a technique for solving problems by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Direct Variation

When two quantities are related such that as one increases, the other also increases at the same rate, they are in direct variation. The ratio Cost/Weight remains constant.

Calculation Tip

To simplify decimals, multiply both the numerator and denominator by a power of 10 (e.g., 681.75/13.5 = 68175/1350) before performing division.

EXPLANATION:

According to the question, 

37 > 165 $ 3 < 5 

And  '<' means '-', '>' means '+', and '$' means '÷'. 

so the given equation becomes, 

37 + 165 ÷ 3 - 5 [According to BODMAS rule]

= 37 + 55 - 5

= 92 - 5

= 87

.Hence the correct answer is option 1) 87.

The family tree diagram is shown below:

Given information, 

1. B's mother R has only one daughter. 2. A is the only son of R.

Now, check all the options

1. Sister → True  (B is the sister of A.)
2. Father → False ( B is not the father of A) 3. Brother → False ( B is not the brother of A) 4. Mother's sister → False ( B is not the Mother's sister of A)

Hence, the correct answer is Sister.

Given, 

The area of a trapezium (A) = 1792 cm² 

Perpendicular distance (h) = 28 cm 

Length of one of the parallel sides (a) = 72 cm 

Formula used: 

Area of trapezium = 1/2 × (a + b) × h, 

Where a and b are the lengths of the parallel sides and h stands for the perpendicular distance between the parallel sides. 

Calculation: 

According to the question,

⇒ 1792 = 1/2 × (72 + b) × 28 cm² 

⇒ 1792 = (72 + b) × 14  

⇒ 128 = (72 + b)  

⇒ b = 128 − 72

⇒ b = 56 cm.

∴ The length of the other parallel side (b) is 56 cm.

Shortcut Trick

A number is divisible by 15 if it is divisible by both 3 and 5.

All options end in 0 or 5, so all are divisible by 5.

Check divisibility by 3: The sum of digits must be a multiple of 3.

For 384575: 3 + 8 + 4 + 5 + 7 + 5 = 32 (32 is not divisible by 3).

∴ The correct answer is 384575.

Alternate Method

Given Numbers: 123465, 234675, 234570, 384575

Formula: 15 = 3 × 5. A number is divisible by 15 if it is divisible by co-prime factors 3 and 5.

Step-by-step verification:

⇒ Option 1 (123465): Last digit is 5. Sum = 1+2+3+4+6+5 = 21. Since 21 ÷ 3 = 7, it is divisible by 15.

⇒ Option 2 (234675): Last digit is 5. Sum = 2+3+4+6+7+5 = 27. Since 27 ÷ 3 = 9, it is divisible by 15.

⇒ Option 3 (234570): Last digit is 0. Sum = 2+3+4+5+7+0 = 21. Since 21 ÷ 3 = 7, it is divisible by 15.

⇒ Option 4 (384575): Last digit is 5. Sum = 3+8+4+5+7+5 = 32. Since 32 ÷ 3 leaves a remainder of 2, it is not divisible by 3.

⇒ Since 384575 is not divisible by 3, it cannot be divisible by 15.

∴ The correct answer is 384575.

Additional Information

Divisibility Rule of 3

A number is divisible by 3 if the sum of its digits is a multiple of 3.

Divisibility Rule of 5

A number is divisible by 5 if its unit digit (last digit) is either 0 or 5.

Composite Divisibility

If a number is divisible by two co-prime numbers x and y, then it is also divisible by their product (x × y).

Rule for 15

Since 3 and 5 are co-prime, divisibility by 15 requires fulfilling both rules for 3 and 5 simultaneously.

The correct answer is July 1857.

Key Points

• During the period of the uprising of 1857, Baraut (a town in baghpath), witnessed 158 deaths.
• Hundreds of farmers were killed when a British force attacked the village and hanged the rebels.
• Shah Mal was one of them, who was killed during the Revolt of 1857 while leading a fighting force of farmers against the British.
• Shah Mal was from Bijroul village near the town of Baraut.

Additional Information

Uprising of 1857

• The Indian Rebellion of 1857 was a major uprising in India in 1857–58 against the rule of the British East India Company.
• The East India Company functioned as a sovereign power on behalf of the British Crown.
• The rebellion began on 10 May 1857 in the form of a mutiny of sepoys of the Company's army in the garrison town of Meerut.

EXPLANATION: 

Given that:-

• No of days from 19^th July 2019 to 21^st September 2019  = 64 days as 2019 is a non-leap year.
• Since, it was Friday on 19th July 2019 , every 7th day from 19^th July will be a Friday.
• Thus, no. of odd days = 64/7 = 1
• Now, 19th July 2019 (Friday) + 1 odd days = 21st September 2019 (Saturday)
• 21st September 2019 will be Saturday.

The correct answer is option 4) Saturday.

Given, 

Akshita covers different distance (D) at different speeds (S) as follows:

D₁ = 300 km, S₁ = 50 km/h  

D₂ = 360 km, S₂ = 30 km/h 

D₃ = 420 km, S₃ = 60 km/h 

D₄ = 216 km, 

Formula used: 

Speed = Distance /Time

Average Speed (SAVE) = (Total distance travelled)/Total time taken

Calculation: 

According to the question 

Average Speed (S_AVE) = (300 + 360 + 420)/(6 + 12 + 7)

⇒ 1080/25 = 43.2 m/s 

For time taken by Akshita to travel 216 km with average speed will be: 

⇒ S_AVE = D₄/T 

⇒ T = D₄/S_AVE = 216/ 43.2

⇒ T = 5h

∴ The time taken to travel 216 km with an average speed of 46.6 km/h is ~ 5 hours.

The correct answer is India.

Key Points

• It is also known as IBF World Championships.
• The tournament is among the most prestigious in badminton, offering the most ranking points, together with the Summer Pumpics Badminton Tournaments.
• It was introduced in 1992.
• The winner of these tournaments are also crowned as "World Champions" of the sport and are awarded a gold medal.
• It is held once every three years.
• In the starting it was hosted by IBF(International Badminton Federation).

Additional Information

There are some years and countries where BWF organized        

EXPLANATION: 

The logic followed here is :

Sum of position value of letter + 10

PAINT' is coded as '70' 

P + A + I + N + T +10

= 16 + 1 + 9 + 14 + 20 + 10

= 60 +10

= 70.

'POLISH' is coded as '89' 

P + O + L + I + S + H + 10

= 16 + 15 +12 + 9 + 19 + 8 + 10

= 79 + 10

= 89.

'CLEAN' = ?

C + L + E + A + N + 10 

= 3 + 12 + 5 + 1 + 14 + 10 

= 35 + 10

= 45

Hence,  45 is the correct answer.

The correct answer is monthly.

Key Points

• The poverty threshold, poverty limit, poverty line, or breadline is the minimum level of income deemed adequate in a particular country.
• A common method used to estimate poverty in India is based on the income or consumption levels
• The cost of housing, such as the rent for an apartment, usually makes up the largest proportion of this estimate, so economists track the real estate market and other housing cost indicators as a major influence on the poverty line.
• Individual factors are often used to account for various circumstances, such as whether one is a parent, elderly, a child, married, etc.

Additional Information

• Poverty estimation in India is now carried out by NITI Aayog’s task force through the calculation of the poverty line based on the data captured by the National Sample Survey Office under the Ministry of Statistics and Programme Implementation (MOSPI).

LOGIC: (First Number)³ : (First Number + 3)³

1. 125 : 512 = 5³ : 8³ 

                    = 5 : (5 + 3)³

2. 64 : 1331 = 4³ : 11³ 

                    = 4 : (4 + 7)³

3. 343 : 1000 = 7³ : 10³ 

                      = 7 : (7 +  3)³

4. 216 : 729 = 6³ : 9³ 

                    = 6 : (6 + 3)³

Since difference between two number is 3 in all the option except for option 2.

Hence, option 2 : 64 : 1331 is the correct answer.

Shortcut Trick

Direct relationship between Perimeter (P) and Diagonal (d) of a square: P = 2√2 × d

Given Diagonal = 18 cm

⇒ Perimeter = 2√2 × 18

⇒ Perimeter = 36√2 cm

∴ The correct answer is 36√2 cm.

Alternate Method

Given: Diagonal (d) = 18 cm

Formula used: Diagonal = Side × √2

⇒ 18 = Side × √2

⇒ Side = 18 / √2

⇒ Side = (18 × √2) / (√2 × √2)

⇒ Side = 18√2 / 2

⇒ Side = 9√2 cm

⇒ Perimeter of the square = 4 × Side

⇒ Perimeter = 4 × 9√2

⇒ Perimeter = 36√2 cm

∴ The correct answer is 36√2 cm.

Additional Information

Area of a Square

The Area can be calculated using the diagonal: Area = d² / 2 or using the side: Area = Side².

Side and Diagonal Relation

For any square with side 'a', the Diagonal is always a√2, which is derived from the Pythagoras Theorem (a² + a² = d²).

Perimeter of Polygons

For a regular polygon with 'n' sides of length 's', the Perimeter is n × s. For a square, n = 4.

The correct answer is Nageshwar.

Key PointsThe Harappans procured materials for craft production in various ways:

• They established settlements such as Nageshwar and Balakot where shells were available.
• Other such sites were Shortughai, in far-off Afghanistan, the best source of lapis lazuli.
• A blue stone that was apparently very highly valued, and Lothal which was near sources of carnelian from Bharuch in Gujarat.
• Steatite was procured from south Rajasthan and north Gujarat.

Additional Information

• Settlements of the Harappans were situated at such places where raw materials were easily available.
• Recent archaeological find suggests that Harappans procured materials from other countries like - they got copper from Omen.
• Some of the raw materials were locally available while some were purchased from different places.
• Soil and wood were locally available raw materials.
• Stones, fine quality wood, metals were procured from different places.

The logic followed here is:

1. 6, 8 = 12

6 x 8 = 48

          = 48 ÷ 4

         = 12 

2. 9, 8 = 18

9 x 8 = 72

          = 72 ÷ 4

         = 18

so, 6, 10 will be

6 x 10 = 60

          = 60 ÷ 4

         = 15

Hence option 4 is the correct answer.

The positions of the alphabets are:

The pattern followed here is 

In KSQ : OWU

In FIJ : JMN

Similarly, 

In TPV 

Hence, XTZ is the correct answer.

The position of English alphabets are 

The pattern followed here is:

In OSU : LQT

In  IKL : FIK

Similarly, 

Hence option 2 is the correct answer.

The correct answer is Porbandar.

Key Points

• East-West Corridor
• The Indian cities of Silchar and Porbandar are connected via the Golden Quadrilateral's East-West corridor.
• National Highways Authority of India (NHAI) is in charge of overseeing the project under the Ministry of Road Transport and Highways.
• The length of the golden quadrilateral's East-West corridor is 3,300 kilometres.
• The East-West corridor is associated via National Highway 27.

Additional Information

• The biggest highway project (currently under construction) in India is the North-South-East-West Corridor.
• To connect Indian cities like Srinagar, Kanyakumari, Kochi, Porbandar, and Silchar, the project of North-South-East-West Corridor will build 7300 kilometres of four- and six-lane expressways.
• North-South Corridor
• The 4,000-kilometer-long north-south corridor of the golden quadrilateral connects Srinagar to Kanyakumari/Kochi.
• It is associated with National Highway 44.​

The logic followed here is:

1. Only three girls are older than Harshita.

       >          >            > Harshita >           >           .

 2. Only four girls are younger than Sangita.

       >  Sangita  >             > Harshita   >             >           .

3. Priyanka is younger than Sangita and older than Harshita.

       > Sangita  > Priyanka > Harshita  >             >           .

4. Tiya is the youngest among all.

       > Sangita > Priyanka > Harshita   >             > Tiya .

5.  Kusum is not the oldest among all.

   Ragini​ > Sangita > Priyanka > Harshita > Kusum > Tiya.

So, Kusum is not older than Harshita.

Hence, the correct answer is Kusum.

Shortcut Trick

Since the speed of the Train is constant, Time is directly proportional to Distance.

Case 1: Crosses pole → Distance = 360 m → Time = 12 sec

Case 2: Crosses bridge → Distance = 360 + 150 = 510 m

Required Time = (12 ÷ 360) × 510 = 17 sec

∴ The correct answer is 17 sec.

Alternate Method

Given: Length of Train = 360 m, Time to cross pole = 12 sec, Length of Bridge = 150 m.

Formula Used: Speed = Distance ÷ Time

⇒ Speed of Train = Length of Train ÷ Time to cross pole

⇒ Speed = 360 ÷ 12 = 30 m/s

⇒ Total distance to cross Bridge = Length of Train + Length of Bridge

⇒ Total Distance = 360 + 150 = 510 m

⇒ Time taken = Total Distance ÷ Speed

⇒ Time taken = 510 ÷ 30 = 17 sec

∴ The correct answer is 17 sec.

Additional Information

Relative Speed

When two objects move in the same direction, relative speed = |v₁ − v₂|. In opposite directions, relative speed = v₁ + v₂.

Unit Conversion

To convert km/hr to m/s, multiply by 5/18. To convert m/s to km/hr, multiply by 18/5.

Distance Logic

When a train crosses a stationary point object (pole/man), distance = length of train. When crossing a platform/bridge, distance = train length + platform/bridge length.

The correct answer is DISC 5.0.

Key Points

• DISC 5.0 is a reflection of the Government’s resolve to create a self-reliant defence sector.
• The challenge is to take innovation, design & development to newer heights.
• iDEX plays a crucial role in building a strong military & ‘AatmaNirbhar’ defence industry.
• Government support to the private sector in building ‘AatmaNirbhar Bharat.'

Additional Information

• ​DISC's full form is Defence India Startup Challenge.
• The Ministry of Defence is chaired by Shri. Rajnath Singh.
• Stating that DISC 5.0 is a reflection of the Government’s resolve of creating an ‘AatmaNirbhar’ defence sector, he exuded confidence that this challenge will move forward from its earlier editions and take innovation, design & development to newer heights.

Given:

$\frac{7}{9},\frac{6}{7},\frac{{22}}{{25}},$ $\frac{{11}}{{13}}$

Concept Used:

Simplify the fractions into decimal digits.

Calculation:

⇒ 7/9 = 0.77

⇒ 6/7 = 0.85

⇒ 22/25 = 0.88

⇒ 11/13 = 0.84

The largest value is 0.88 which can be fractionalized into 22/25.

∴ The largest fraction is 22/25.

Given:

Cost Price (CP) of article A and B = Rs. 2312

Sold article A at 16% Loss

Sold article B at 20% Gain.

Formula used:

Selling Price (SP) at Gain% = Cost price × (100 + Gain%)/100

Selling Price (SP) at Loss% = Cost price × (100 − Loss%)/100 

Calculations:

According to the question,

Let CP of article A be 'a', then CP of article B = (2312 - a).

⇒ SP at Gain% = SP at Loss%

⇒ CP of A × (100 - 16)/100 = CP of B × (100 + 20)/100

⇒ a × (84) = (2312 - a) × (120)

⇒ 84a = (2312 × 120) - (120a)

⇒ 84a + 120a = 277440

⇒ a = 277440 / 204 = 1360

The CP of article A = Rs. 1360 and CP of article B = 2312 - 1360 = Rs. 952.

Now the difference in cost of both the articles,

⇒ CP of article A - CP of article B 

⇒ 1360 - 952 = Rs. 408

∴ The difference between the cost prices of A and B is Rs. 408.

The correct answer is Sharankumar Limbale.

Key Points

• Sharankumar Limbale received the 30^th Saraswati Samman by the KK Birla Foundation in March 2021.
• Sharankumar Limbale is a famous Marathi novelist, poet, critic and short story writer.
• The 30th edition of the prize, the highest recognition in the field of Indian literature in the country, was given to Limbale for his 2018 Marathi novel, Sanatan.
• Apart from the citation, the award carries a plaque and award money of ₹15 lakh.

Additional Information

• ​The Saraswati Samman is an annual award for outstanding prose or poetry literary works in any of the 22 languages of India listed in Schedule VIII of the constitution of India.
• It is named after an Indian goddess of knowledge.
• The K.K. Birla Foundation was established in 1991 by Krishna Kumar Birla in Delhi.
• Its mission is to promote literature (especially Hindi literature) and the arts, as well as education and social work.

The correct answer is Vitamin B12.

Key Points

• Cyanocobalamin is a man-made form of Vitamin B12.
• It's used to treat and prevent vitamin B12 deficiency anaemia (when you have low levels of this vitamin in your body).
• Your body requires vitamin B12 to make red blood cells.

Additional Information

• Vitamin B2 - (Riboflavin) helps break down proteins, fats and carbohydrates.
• Vitamin B6 - pyridoxine, is a water-soluble vitamin found naturally in many foods, as well as added to foods and supplements.
• Vitamin B1 - Thiamin (thiamine) is a water-soluble vitamin, as are all vitamins of the B complex.

GIVEN:

x + $\frac{1}{x}$ = 4.

 FORMULA USED:

 a + $\frac{1}{a}$ = n .

 $a^2 +1$ = n × a 

 $a^2$ = an -1 .

CALCULATION :

$x^2$ +1 = $4x$ 

⇒ $x^2 = 4x -1$ 

Now, putting the value of $x^2$ in $\frac{4x^2 +4}{(9x^2+10x +9)}$

⇒ $\frac{4(4x -1) +4 }{9(4x -1)+10x +9}$ = $\frac{16x -4 +4}{36x -9 +10x +9}$ 

= $\dfrac{16x}{46x} = \dfrac{8}{23}$.

⇒ The value is 8/23.

The correct answer is increasing returns to scale.

Key Points

• The law of variable proportions emerges because factor proportions change as long as one factor is held unchanged and the other is raised.
• When a proportionate increase in all inputs results in the rise in output by the same proportion, the production function is said to exhibit Constant returns to scale (CRS).

Additional Information

• ​In economics, returns to scale describe what happens to long-run returns as the scale of production increases, when all input levels including physicalcapital usage are variable (able to be set by the firm).
• The concept of returns to scale arises in the context of a firm's production function.

The correct answer is m/s/s.

Key Points