RRB NTPC CBT 2 (Level-2) Official Paper (Held On: 13 June 2022 Shift 2) (Previous Year Paper)

Drawing the diagram according to the given information,

1. Rahul left his school and walked 20 m straight towards the north.
2. Then turned left and walked straight for another 20 m.
3. Then left turn again and walked straight for 20 m to reach home.

 

The shortest distance between the school and his home = 20 m

Hence, the correct answer is "20 m".

The correct answer is Sardar Vallabhbhai Patel.

Key Points

• National Unity Day:
• The day is also called the Rashtriya Ekta Diwas.
• It was celebrated for the first time on 31st October 2014.
• The is celebrated to commemorate the birth anniversary of Sardar Vallabhbhai Patel.
• The theme for National Unity Day 2020 was Unity in diversity is better than, unity in similarities.

Additional Information

• Sardar Vallabhbhai Patel:
• He was born on 31st October 1875 in Nadiad, Gujarat.
• He is known as the Iron Man of India for playing an important role in the integration and unification of princely states into the Indian union.
• He was the first home minister and deputy prime minister of India.
• He also headed Advisory Committee on Fundamental Rights, Committee on Minorities and Tribal and Excluded Areas and Provincial Constitution Committee in the constituent assembly.
• He was an active part of Kheda Satyagraha in 1918 and Bardoli Satyagraha in 1928.
• He was given the title of Sardar by the Women of Bardoli.

The correct answer is 1848 to 1856.

Key Points

• Lord Dalhousie:
• James Andrew Brown-Ramsay also known as Lord Dalhousie.
• He served as governor-general of India from 1848-1856.
• James Outram was made the British Resident of Awadh in place of Sleeman.
• He said that the administration of Awadh is very corrupt and the condition of the people is very contemplative.
• Outram's report was the basis for the annexation of Awadh.
• Lord Dalhousie annexed the Nawab of Awadh, Wajid Ali Shah on February 13, 1856, accusing him of misrule.
• Apart from Awadh, under the principle of Doctrine of Lapse, the merged territories- Satara (1848), Jaitpur and Sambalpur (1849), Udaipur (1852), Jhansi (1853), Nagpur (1854), and Karauli (1855).
• The first attempt towards railway construction in India was made by Lord Dalhousie in 1853 AD.
• It was laid between Bombay to Thane at the time of Dalhousie.
• The last expansion of British Indian territory took place during Dalhousie.
• During his tenure, for the first time, a separate public Works Department was created.

Given:

1)F lives on floor number 3.

 

2. B and E live on the floors below F's floor.

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3. D lives on a floor that is below A's floor but above C's floor.

(It means D is lives on Fifth floor)

 

Hence, “A” is the correct answer.

Given:

Total amount = Rs. 1470

Ratio of share of Anant and Mohan = 3 : 4

Calculation:

Let Anant and Mohan get 3x and 4x

According to the question,

3x + 4x = 1470

⇒ 7x = 1470

⇒ x = 210

⇒ 4x = 840

So, Mohan gets Rs. 840

∴ The amount received by Mohan is Rs. 840.

The correct answer is Shillong.

Key Points

• Cherry Blossom Festival 2021
• Ambassador of Japan to India, H.E. Satoshi Suzuki, Chief Minister and Conrad K Sangma inaugurated the Cherry Blossom Festival in 2021.
• This festival took place in venues Polo Grounds and Ward’s Lake in Meghalaya.
• Cherry blossoms are also known as Prunus Cerasoides.

Additional Information

• Meghalaya state observed the 44th edition of ‘Wangala’, the festival of 100 Drums Festival in November 2021.
• It is a post-harvest festival of the Garos tribe which is being held every year to honour ‘Saljong’, the Sun God of Garos, which also marks the end of the harvest season.
• Some Popular Festivals of Meghalaya:
• Nongkrem Dance Festival
• Wangala Festival
• Ahaia
• Behdeinkhlam Festival
• Shad Sukra
• The Meghalaya Cabinet has approved the proposal of the creation of a new district called Eastern West Khasi Hills district.

Given:

Sum = Rs. 32000

Rate = 12%

Time = 6 month

Concept used:

$\rm A = P(1 + \frac{{r}{}}{100})^{t}{}$

Interest = A - P

A = amount

P = principal or sum

r = rate of interest

t = time

For quarterly interest 

Rate = r/4

Time = (4 × t)/12

Calculation:

Interest rate for quarterly = 12/4 = 3%

Time = 4 × (6/12) = 2

So,

A = 32000(1 + 3/100)²

⇒ A = 32000(103/100)2

⇒ A = 32000 × (10609/10000)

⇒ A = 33948.8

So, amount = Rs. 33948.8

Interest = 33948.8 - 32000

⇒ Rs. 1948.8

∴ Required interest is Rs. 1948.8.

Shortcut TrickCompound interest on Rs. 32000 for 6 months

⇒ 32000$(1 + \frac{12}{4 × 100})^{4 \times \frac{6} {12}}$ - 32000

⇒ 32000 × 1.03² - 32000

⇒ Rs. 1948.8

∴ The compound interest on Rs. 32000 for 6 months at 12% per annum compounded quarterly is Rs. 1948.8.

Given:

4, 3, 2 = 21

5, 6, 3 = 52

5, 8, 4 = ?

The logic followed here is:

(1^st number)² + (2^nd number)² – (3^rd number)² = RHS

Now follow the steps:

4, 3, 2 = 21

= 4² + 3² - 2²

= 16 + 9 – 4

= 25 - 4

= 21 = RHS

And,

5, 6, 3 = 52

= 5² + 6² - 3²

= 25 + 36 – 9

= 61 - 9

= 52 = RHS

Similarly,

5, 8, 4 = ?

= 5² + 8² - 4²

= 25 + 64 – 16

= 89 - 16

= 73 = RHS

Hence, "73" is correct answer.

Shortcut Trick

Difference in Initial Principal = 91000 − 80000 = ₹11000

Suresh annual interest = 24% of 80000 = ₹19200

Ramesh annual interest = 20% of 91000 = ₹18200

Difference in Annual Interest = 19200 − 18200 = ₹1000

Time required to equalize amounts = Principal Difference ÷ Interest Difference = 11000 ÷ 1000 = 11 years

∴ The correct answer is 11 years.

Alternate Method

Given:

For Suresh: Principal (P₁) = ₹80000, Rate (R₁) = 24% p.a.

For Ramesh: Principal (P₂) = ₹91000, Rate (R₂) = 20% p.a.

Formula Used:

Amount (A) = Principal (P) + Simple Interest (SI)

SI = (P × R × T) ÷ 100

Let the Time be T years.

⇒ Suresh Amount = 80000 + (80000 × 24 × T) ÷ 100

⇒ Suresh Amount = 80000 + 19200T

⇒ Ramesh Amount = 91000 + (91000 × 20 × T) ÷ 100

⇒ Ramesh Amount = 91000 + 18200T

According to the question, Suresh Amount = Ramesh Amount:

⇒ 80000 + 19200T = 91000 + 18200T

⇒ 19200T − 18200T = 91000 − 80000

⇒ 1000T = 11000

⇒ T = 11000 ÷ 1000

⇒ T = 11 years

∴ The correct answer is 11 years.

Additional Information

Simple Interest Concept

Simple interest is calculated only on the principal amount. Formula: SI = (P × R × T) ÷ 100.

Amount Calculation

The total amount (A) is the sum of the principal (P) and the interest earned (SI). A = P + SI = P(1 + RT/100).

Rate Comparison

When two amounts with different principals and rates equalize, the person with the lower initial principal must have a higher interest rate to bridge the gap.

• Just as there is a department in the company for every task, a team of experts should be appointed to find out the root cause of mistakes in the accounts of a private limited company and suggest remedial action.
• A thorough investigation of all the employees involved is necessary to find out the root cause of the mistakes in the accounts of the Private Limited Company.

Hence, the correct answer is "Option 4".

Given:

$\frac{{\left( {11\frac{{11}}{{12}} \times 1\frac{3}{{13}} \div 2\frac{3}{4}} \right) \div \left( {\frac{7}{{10}} \div \left( {\frac{3}{4} \times 1\frac{2}{5}} \right)} \right)}}{{\frac{1}{4} \times \frac{2}{3} \times 2\frac{2}{5}}}$

Concept used:

Calculation:

$\frac{{\left( {11\frac{{11}}{{12}} \times 1\frac{3}{{13}} \div 2\frac{3}{4}} \right) \div \left( {\frac{7}{{10}} \div \left( {\frac{3}{4} \times 1\frac{2}{5}} \right)} \right)}}{{\frac{1}{4} \times \frac{2}{3} \times 2\frac{2}{5}}}$

⇒ $\frac{{\left( {\frac{{143}}{{12}} \times \frac{16}{{13}} \div \frac{11}{4}} \right) \div \left( {\frac{7}{{10}} \div \left( {\frac{3}{4} \times \frac{7}{5}} \right)} \right)}}{{\frac{1}{4} \times \frac{2}{3} \times 2\frac{2}{5}}}$

⇒ $\frac{{\left( {\frac{{143}}{{12}} \times \frac{16}{{13}} \times \frac{4}{11}} \right) \div \left( {\frac{7}{{10}} \div {\frac{21}{20}}} \right)}}{{\frac{1}{4} \times \frac{2}{3} \times 2\frac{2}{5}}}$

⇒ $\frac{{\left( {\frac{{16}}{{3}}} \right) \div \left( {\frac{7}{{10}} \times {\frac{20}{21}}} \right)}}{{\frac{1}{4} \times \frac{2}{3} \times 2\frac{2}{5}}}$

⇒ $\frac{{\left( {\frac{{16}}{{3}}} \right) \div \left( {\frac{2}{{3}}} \right)}}{{\frac{1}{4} \times \frac{2}{3} \times 2\frac{2}{5}}}$

⇒ $\frac{{\left( {\frac{{16}}{{3}}} \right) \times \left( {\frac{3}{{2}}} \right)}}{{\frac{1}{4} \times \frac{2}{3} \times 2\frac{2}{5}}}$

⇒ $\frac{{{{{8}}{{}}}}}{{\frac{1}{4} \times \frac{2}{3} \times \frac{12}{5}}}$

⇒ $\frac{{{{{8}}{{}}}}}{{ \frac{2}{5}}}$

⇒ 20

∴ Required answer is 20.

The correct answer is The marginal product of a factor input initially rises with its employment level, but after reaching a certain level of employment, it starts falling.

Key Points

• The Law of Variable Proportion is regarded as a key economics concept.
• According to the law of variable proportions, as one factor's amount is raised while the other factors remain constant, the marginal product of that factor will eventually decrease.
• This means that the variable factor's marginal product may increase up to a certain point when it is used, but after that point, it begins to diminish.
• It's possible for the marginal product to turn negative when the variable element is quite abundant.
• The total product will initially increase at a rising pace, then it will increase at a diminishing rate, and finally, there will be a fall in the production rate when the variable factor is increased while keeping all other elements constant.

Important Points

• According to the law of declining marginal productivity, the productivity gained from each subsequent unit produced once a factor of production is improved will only slightly increase from one unit to the next.

The correct answer is Percentage of deposits which a bank must keep as cash reserves with the Reserve Bank of India.

Key Points

• The term "Cash Reserves Ratio" (CRR) refers to the percentage of commercial banks' total deposits that they are required to maintain as cash reserves with the central bank in the form of cash.
• CRR is a rule that is enforced in virtually every country by the Central Bank of that nation and is a crucial tool for monetary policy in order to manage the amount of money in the economy.
• Every commercial bank is required to maintain the CRR rate in accordance with the requirements of the Central Bank, or RBI, which is the minimum percentage of cash deposits (as stated by RBI).
• Each bank's net demand and time obligations are used to calculate the cash reserve ratio rate.
• The sum of the balances in the savings account, current account, and fixed deposit yields the Net Demand and Time Liability.

Important Points

• The domestic currency holdings and deposits with the monetary authorities to claims on other governments, nonfinancial public businesses, the private sector, and other banking institutions make up the ratio of bank liquid reserves to bank assets.
• Deposits from consumers in their current and savings accounts make up the bank's obligations.
• Total fund costs are divided by total fund assets to determine the expense ratio.

Given: 

(13)3 + (- 8)3 + (- 5)3

Concept used:

A³ - B³ = (A - B) (A² + AB + B²)

(-A)³ = -A³

Calculation:

(13)3 + (- 8)3 + (- 5)3

⇒ (133 - 8³) - 5³

⇒ (13 - 8) (13² + 13 × 8 + 8²) - 125

⇒ 5 × (169 + 104 + 64) - 125

⇒ 5 × 337 - 125

⇒ 5 × (337 - 25)

⇒ 5 × 312

⇒ 40 × 39

⇒ 39 × 40

∴ The value of (13)3 + (- 8)3 + (- 5)3 is 39 × 40.

The correct answer is United Arab Emirates.

Key Points

• Astronaut and engineer Nora Al Matrooshi is an Emirati. She will undergo training with NASA Astronaut Group 23 to become a specialist for international missions after being chosen in April 2021.
• She holds a BS from the United Arab Emirates University and is a mechanical engineer by trade.
• The next two astronauts of the United Arab Emirates' space programme were announced on April 10, 2021.
• Additionally, it features Noura al-Matroushi, the nation's first female astronaut.
• The two astronauts' names were revealed on Twitter by Dubai's autocratically-ruled ruler, Sheikh Mohammed bin Rashid Al Maktoum, who also holds the positions of vice president and prime minister.

Important Points

• The class of NASA Astronaut Group 23, often known as "The Flies," was announced on December 6th, 2021, and is expected to report for duty sometime in 2022.
• Seven males and five women were among the twelve astronaut candidates who were chosen.
• Initially scheduled to arrive at the Johnson Space Center in Houston for training in the summer of 2021, the Group 23 Astronaut Candidates will be qualified for future missions to the International Space Station in low Earth orbit aboard NASA or commercial crew vehicles, the Moon via the Artemis programme, and Mars once their roughly two-year training programme is finished.

Given:

7 digit number 504x5y3 is divisible by 11

Concept used:

Divisibility law of 11: If the difference of the sum of alternating digits of the number is either a multiple of 11 or 0(zero) [e.g. 2343 is divisible by 11 because (2 + 4) – (3 + 3) = 0, which is zero].

Calculation:

(5 + 4 + 5 + 3) - (0 + x + y) = 0 or multiple of 11

⇒ 17 - (x + y) = 0 or multiple of 11

⇒ Here (x + y) can be 6 or 17

From the options, we can say that the value of the sum of x and y is 17

∴ One of the values of the sum of x and y is 17.

Given:

1. Raghav is standing at the 14th position from the extreme left end and Naresh is at the 16th position from the extreme right end.

2. After interchange their respective positions, Raghav now becomes 23rd from the extreme left end.

=> The total number of persons = Raghav position from left + Raghav position from right - 1

=> The total number of persons = 23 + 16 - 1 = 38

Naresh position from the right:

=> The total number of persons = Naresh position from left + Naresh position from right - 1

=> 38 = 14 + Naresh position from right - 1

=> Naresh position from right = 38 - 14 + 1 = 39 - 14 = 25

Hence, Naresh position from right  is “25”.

The correct answer is Kolkata.

Key Points

• Kolkata Port is located on the Hugli river, 128 km inland from the Bay of Bengal.
• Like the Mumbai port, this port was also developed by the British. Kolkata had the initial advantage of being the capital of British India.
• The port has lost its significance considerably on account of the diversion of exports to the other ports
  

such as Vishakhapatnam, Paradwip and its satellite port, Haldia.

• Kolkata Port is also confronted with the problem of silt accumulation in the Hugli river which provides a link to the sea.
• Its hinterland covers U.P., Bihar, Jharkhand, West Bengal, Sikkim and the north-eastern states.
• Apart from this, it also extends ports facilities to our neighbouring land-locked countries such as Nepal and Bhutan.

Additional Information

• Tuticorin Port: 
• Tuticorin Port was also developed to relieve the pressure of Chennai port.
• It deals with a variety of cargo, including coal, salt, food grains, edible oils, sugar, chemicals and petroleum products.
• Kandla Port: 
• The Kandla Creek area located 90 kilometres away from the Gulf of Kutch is home to the Port of Kandla.
• It is one of the oldest ports in India and was constructed back in the 1950s following the India-Pakistan partition.
• It was the first export processing port in India.
• Kochi Port:
• It is known as the Queen of the Arabian Sea.
• It was an important spice trading centre on the west coast of India from the 14th century onward and maintained a trade network with Arab merchants from the pre-Islamic era.
• The Kingdom of Cochin became a protectorate of the Portuguese in 1503.

Given:

Observations are 60, 68, 70, 72, 74, 76, 78, 80

Concept used:

The following steps are helpful while applying the median formula for ungrouped data.

• Step 1: Arrange the data in ascending or descending order.
• Step 2: Secondly, count the total number of observations 'n'.
• Step 3: Check if the number of observations 'n' is even or odd.

Median Formula When n is Odd

Median = [(n + 1)/2]^th term

Median Formula When n is Even

Median = [(n/2)^th term + ((n/2) + 1)^th term]/2

Calculation:

As the numbers are already in the increasing order so we don't need to arrange them

Now, median = $\rm\frac{4^{th}term+5^{th}term}{2}$

⇒ $\frac{72 +74}{2}$

⇒ 73

Now, if 70 is removed the new median will be = 4th term,

⇒ 74

So, median increased = 74 - 73

⇒ 1

∴ Required increased in the median is 1.

The correct answer is Kolannalu.

Key Points

• One of the most well-known dance narratives in Andhra Pradesh is the "stick dance," also known as "kolannalu" or "kolkolannalu" (also known as "kolattam").
• It is a sort of rural art that is frequently displayed at village festivals. It consists of songs, music, and rhythmic movements.
• The Kolattam ensemble is made up of dancers in pairs, ranging in age from 8 to 40.
• The predominant beat is provided by the sticks. A leader directs the dancers as they move in two circles.
• The artists in the outside circle deliver the strikes, which the inner circle receives on their sticks.
• The dancers essentially move in circles while striking the sticks to the beat of the song.

Important Points

• The older generation of the Nagaland state is mostly responsible for creating the unique genre of music known as neuleu song.
• Villu Paatu, also known as Villadichampaatu, is a traditional kind of musical story-telling that is still practiced in Tamil Nadu, Kerala, and North-East Sri Lanka. Narration and music are intermingled throughout the performance.
• The socio-religious folk dance known as Raas or Dandiya Raas has its roots in Gujarat, India, and is frequently performed during the Navaratri festival.

According to the given information

‘and’ is coded as "sad".

Hence, 'sad' is the correct answer.

According to the question.

Given: Six boys, Mukul, Rajan, Jayant, Suresh, Prakash and Karan, each having different heights.

1) Only three boys are taller than Karan and only three boys are shorter than Prakash.

_ > _ > Prakash > Karan > _ > _

2) Suresh is taller than Rajan but shorter than Karan.

_ > _ > Prakash > Karan > Suresh > Rajan

3) Mukul is not the tallest among all.

_ > Mukul > Prakash > Karan > Suresh > Rajan

4) Only Jayant are left so

Jayant > Mukul > Prakash > Karan > Suresh > Rajan

Hence, “4” boys are shorter than Mukul.

Given:

Equation (1) = 3x - 2y - 11 = 0

Equation (2) = x + y = 7

Intersect point = P(α, β)

Concept used:

We will solve the linear equations.

The value of x and y will be the coordinates of intersecting point P.

Calculation:

3x - 2y = 11      ------(i)

x + y = 7      ------(ii)

Multiplying eq (ii) by 3, we get,

3x + 3y = 21      ----(iii)

By solving equation (i) and (ii) we get

5y = 10

⇒ y = 2

Now putting the value of y in eq (ii) we get,

x = 5,

P (α, β) = P (5, 2)

So, α = 5, β = 2 

Now,

(3α + 5β)

⇒ 3 × 5 + 5 × 2

⇒ 15 + 10

⇒ 25

∴ The value of (3α + 5β) is 25.

The correct answer is Biotech-PRIDE.

Key Points

• On July 30, 2021, Dr Jitendra Singh, Union Minister of State for Science and Technology, published "Biotech-PRIDE (Promotion of Research and Innovation via Data Exchange) Guidelines."
• They were created by the Ministry of Science and Technology's Department of Biotechnology (DBT).
• The Indian Biological Data Centre, or IBDC, website was also launched by the Minister.
• The Indian Biological Data Centre (IBDC), a Regional Centre for Biotechnology financed by the Department of Biotechnology, will apply the Guidelines.
• This IBDC, which will be dubbed Bio-Grid, will be connected to other existing databases and data centres.

Important Points

• Dr. Jitendra Singh is a politician and doctor from India who was born on November 6, 1956.
• He is the Minister of State (Independent Charge) for the Department of Atomic Energy, the Department of Space, and the Ministry of Science and Technology.
• He is also the Minister of State (Independent Charge) for the Prime Minister's Office, Personnel, Public Grievances, and Pensions, and the Ministry of Earth Science.

The correct answer is Rajasthan.

Key Points

• Mirabai was raised at Merta after being born into a Rathore Rajput royal family in Kudki (the present-day Pali region of Rajasthan).
• Hindu mystic poet Meera, also known as Mirabai and revered as Sant Meerabai, was a follower of Krishna in the 16th century.
• She is revered as a Bhakti saint, especially in the Hindu tradition of North India.
• She is mentioned in Bhaktamal, demonstrating that by around 1600 CE, the Bhakti movement's culture had made her a well-known and cherished figure.
• The majority of stories about Mirabai focus on her brazen contempt for societal and familial norms, her love for Krishna, how she treated Krishna as her spouse, and how her in-laws mistreated her because of her religious fervor.
• She had a strong devotion to Lord Krishna. One of the most prominent proponents of Prema Bhakti (Divine Love) and a gifted poetess, Mirabai.
• She praised Giridhara Gopala (Shri Krishna), her lord, singing in vraja-bhasha, occasionally blended with Rajasthani, for whom she felt the deepest love and devotion.

Arpit's birthday = 10^th March 2020, Tuesday.

Arpit’s wife's birthday = 25^th May 2020

Days between 10^th March 2020 - 25^th May 2020

→ 21 (March) + 30 (April) + 25 (May)

→ 76 days = 76 ÷ 7 = 6 odd day

→ Tuesday + 6 = Monday

Hence, "Monday" was Arpit's wife's birthday on 25th May 2020

The correct answer is 21st century.

Key Points

• Agenda 21:
• Agenda 21 of the Rio Summit 1992 is related to Sustainable Development
• United Nations Conference on Environment and Development(UNCED), also known as the Rio Summit
• It was held in  Rio de Janeiro in June 1992
• The summit was convened for addressing the urgent problem of environmental protection and socio-economic development at the global level.
• The Rio convention endorsed global forest principles and adopted agenda 21 for achieving sustainable development in the 21st century.​

Additional Information

• UNDP:
• The United Nations Development Programme is an international organization that works to eradicate poverty while protecting the planet.
• UNDP works in about 170 countries and territories, helping to achieve the eradication of poverty and the reduction of inequalities and exclusion.
• They help countries to develop policies, leadership skills, partnering abilities, institutional capabilities, and build resilience in order to sustain development results.
• The headquarter of UNDP is in New York City.
• UNFPA:
• The United Nations Population Fund (UNFPA) is a UN organization formerly known as United Nations Fund for Population Activities.
• Their work involves the improvement of reproductive health including the creation of national strategies and protocols, and providing supplies and services.
• UNODC:
• The United Nations Office on Drugs and Crimes (UNODC) has launched a ‘Lockdown Learners' series of online dialogues with students and educators in India.
• The dialogue is on COVID-19 and its impact on Sustainable Development Goals, peace, and rule of law.
• The aim is to sensitize students on concerns of vulnerable groups and emerging issues such as cybercrime, misinformation, etc.

Given:

ABCDEF is a regular hexagon and m($\overline{BE}$) = 14 cm.

Concept used:

The length of a diagonal of a regular hexagon is equal to two times the length of its side.

Perimeter of a regular hexagon = 6 × Length of each side

Calculation:

Here, BE is one of the diagonals of the hexagon ABCDEF.

Hence, the length of each side = 14/2 = 7 cm

Thus, the perimeter of the hexagon = 6 × 7 = 42 cm

∴ The perimeter of the hexagon is 42 cm.

Statements:

(I) William is 15^th from the extreme left end of the row.

(II) David is exactly in the middle of the row and there are ten soldiers to his right.

So David rank 11th from the left.

When combining Statement I and II:

soldiers are there between William and David = William rank from right - David rank from right - 1

soldiers are there between William and David = 15 - 11 - 1 = 15 - 12 = 3

So, "3" soldiers are there between William and David

Hence, "Both I and II together are sufficient"

The correct answer is Bottom.

Key Points

In Microsoft Excel, when you enter text or numbers into a cell, the software applies default alignments for both horizontal and vertical axes. While the horizontal alignment varies (text to the left, numbers to the right), the vertical alignment is set to the Bottom for all types of data by default.

Detailed Breakdown of Alignment

To better understand how Excel handles your data, here are the default settings:

• Vertical Alignment: Always Bottom. This means the text "sits" at the base of the cell.
• Horizontal Alignment (Text): Left.
• Horizontal Alignment (Numbers): Right. This helps when aligning decimal points in a column of figures.

Changing the Alignment

You can modify these settings by navigating to the Home tab and looking in the Alignment group. The vertical options include:

• Top Align: Aligns text to the top edge.
• Middle Align: Centers text between the top and bottom edges.
• Bottom Align: The default setting.

Important Points

• A group of cells arranged in rows and columns is referred to as a worksheet in Excel documents.
• It is the work surface that you use to input data.
• Each worksheet functions as a massive table for organizing data with 1048576 rows and 16384 columns.
• A workbook typically has numerous worksheets with connected content, but only one of them is open at any given moment.

The correct answer is Dharavi.

Key Points

• Dharavi is a locality in Mumbai, Maharashtra, India, considered to be one of Asia's largest slums.
• Dharavi has an area of just over 2.1 square kilometres and a population of about 1,000,000.
• With a population density of over 277,136/km2, Dharavi is one of the most densely populated areas in the world.
• The Dharavi slum was founded in 1884 during the British colonial era.
• It grew because of the expulsion of factories and residents from the peninsular city centre by the colonial government and from the migration of rural Indians into urban Mumbai.
• For this reason, Dharavi is currently a highly diverse settlement religiously and ethnically.
• Dharavi has an active informal economy in which numerous household enterprises employ many of the slum residents as leather, textiles, and pottery products are among the goods made inside Dharavi.
• Dharavi has suffered from many epidemics and other disasters, including a widespread plague in 1896 which killed over half of the population of Mumbai.
• Sanitation in the slums remains poor.

The pattern followed here is,

Let,

“×” means does not sit with

“+” means sit with

Given:

There are two benches A and B and one chair.

Three persons can sit on each of these benches and one on the chair.

Seven persons, Aman, Bhaskar, Chetan, Dablu, Ekta, Fauzia, and Ganesh

(i) Fauzia does not sit on the same bench as Dablu.

• Fauzia × Dablu

(ii) Ekta does not sit on the same bench as Dablu.

• Ekta × Dablu

(iii) Chetan can sit with Aman but not with Ganesh.

• (Chetan + Aman) × Ganesh

(iv) Aman can sit with Dablu but not with Bhaskar or Ganesh.

• (Aman + Dablu) × Bhaskar or Ganesh

(v) Ganesh does not sit on the same bench as Fauzia.

• Ganesh × Fauzia

From Point (iii) and (iv) we get,

Chetan, Dablu and Aman sit on same bench

 

But from Point (v) Ganesh does not sit on the same bench as Fauzia.

So,

 

Hence, “Ganesh” is sitting in the chair.

Given:

Julie can cover a distance of 140 m 18 seconds

Concept used:

Speed = Distance/Time

Speed in m/sec = Speed in km/h × 5/18

Calculation:

Julie's speed in m/sec = 140/18

⇒ 70/9 m/sec

Now, according to the concept,

Julie's speed in km/h = (70/9) × (18/5)

⇒ 28 km/h

∴ Julie can cover 28 km in 1 hour.

Shortcut Trick Use unitary method to solve the Question.

⇒ In 18 sec Julie covers = 140m

⇒ In 1 sec Julie covers = 140/18

⇒ In 1 hour (3600 sec) Julie covers = (140/18) × 3600

∴ Distance covered in 1 hr = 28000m = 28km

Given that,

2^nd February 2007 is a Friday.

2nd February 2007 + 365 days = 2nd February 2008 (since 2008 is a leap year but we are counting only up to 2nd February)

365 days = 1 odd day

Therefore, 2^nd February 2008 is Saturday. 

Hence, the correct answer is "Saturday".

Additional Information

Year - One year has 365 days or 366 days on this basis the year is divided into two parts:

• Normal year - It has 365 days.
• Leap year - It has 366 days and is completely divisible by 4.

<br>

Century leap year - The year which is exactly divisible by 400. Example - 1200, 1600, 2000 etc.

Counting Odd days

Ordinary Year: 365 days (52 weeks + 1 day)

= 1 Odd days

Leap Year: 366 days (52 weeks + 2 days)

= 2 Odd days

Given:

Speed of the car = 50 km/h

Speed of the bicycle = 10 km/h

Total time = 2 hours 24 minutes or $\frac{12}{5}$ hours [∵ 1 hour = 60 min]

Concept used:

Time = Distacne/speed

Calculation:

Let the distance of one way be 100x km

According to the question,

$\rm\frac{100x}{50} + \frac{100x}{10} = \frac{12}{5}$

⇒ $\rm 2x + 10x = \frac{12}{5}$

⇒ $\rm 12x = \frac{12}{5}$

⇒ 60x = 12

⇒ $x = \frac{12}{60}$

⇒ x = 0.2

So, distance of one way = 100 × 0.2

⇒ 20 km

So, total distance = 20 × 2 = 40 km

∴ The total distance that she covered was 40 km.

<br>

Shortcut Trick

D = { 2ab/(a+b) } × T = { 2 × 50 × 10/(50 + 10) } × 12/5 = 40 km

The correct answer is Ravi Shankar.

Key Points

• Ravi Shankar (Indian musician, player of the sitar, composer)​​
• ​Ravi Shankar gave up dancing at the age of 18.
• For the next seven years, he studied the sitar under the noted musician Ustad Allauddin Khan.
• He served as music director of All-India Radio from 1948 until 1956.
• He won Grammy Awards for the albums "West Meets East (1966)", "The Concert for Bangladesh (1971)", and "Full Circle (2001)".
• Two months after his death, Shankar won a fourth Grammy Award, for an intimate collection of ragas titled "The Living Room Sessions Part 1".
• He was the **founder of the National Orchestra of India.**​

Additional Information

• Mamata Shankar
• ​Mamata Shankar is an Indian actress and dancer.
• She is known for her work in Bengali cinema.
• Ananda Shankar​
• ​Ananda Shankar was an Indian musician, singer, and composer.
• Best known for fusing Western and Eastern musical styles.
• Uday Shankar​
• ​Uday Shankar was an Indian dancer and choreographer.
• Known for creating a fusion style of dance, adapting European theatrical techniques to Indian classical dance.
• In 1962, he was awarded the Sangeet Natak Akademi Fellowship for lifetime achievement.
• In 1971, the Govt. of India, awarded him its second-highest civilian award the Padma Vibhushan.

The correct answer is Robert Lewandowski.

Key Points

• Bayern Munich's Polish striker Robert Lewandowski has won the FIFA Best Men's Player award for 2021.
• Barcelona's Spanish midfielder Alexia Putellas won the FIFA Best Women's Player prize.
• They were awarded on 17 January 2022.
• Chile and Olympique Lyonnais’ Christiane Endler was named The Best Women’s Goalkeeper.
• The Puskas Award for Best Goal of the Year was won by Argentine Erik Lamela.
• Chelsea won both the awards for the best coach, with Thomas Tuchel winning the men's award and Emma Hayes named the best women's coach.
• Robert Lewandowski:

Additional Information

• Lucy Bronze won The Best FIFA Women's Player of the year 2020.
• Some famous football players of India -  Sunil Chhetri, Bhaichung Bhutia, Pronay Halder, Sandesh Jhingan, Gurpreet Singh Sandhu.

The correct answer is Irish Constitution.

Key Points

• DPSP
• Part IV of the Indian Constitution deals with the Directive Principles of State Policy(Article 36 to 51).
• Directive Principles of State Policy (DPSP) of the Indian Constitution was influenced by a similar feature of the Irish Constitution. Hence, Option 4 is correct.
• Dr B R Ambedkar called DPSP "Novel features of the Indian constitution".
• K.T Shah called DPSP as "A cheque on a bank payable at the convenience of the bank".
• Directive Principles deal with economic, social, and cultural rights.
• Directive Principles are non-justiciable (Article 37).
• Sapru committee incorporated the Directive Principles of State Policy into the Indian constitution.

Additional Information

Borrowed features of Indian Constitution

The correct answer is Lord Dalhousie.

Key Points

• The chief instrument through which Lord Dalhousie implemented his policy of annexation was the ‘Doctrine of Lapse’.
• Under the Doctrine of Lapse, when the ruler of a protected state died without a natural heir, his/her state was not to pass to an adopted heir as sanctioned by the age-old tradition of the country.
• Lord Dalhousie came to India as the Governor-General in 1848.
• Lord Dalhousie was keen on annexing the kingdom of Avadh.

Additional Information

• Lord Auckland
• Auckland was appointed Governor-General in the year 1836.
• George Eden, earl of Auckland served from 1836 to 1842.
• The first Anglo-Afghan war was fought during his tenure.
• He is known for expansion of the commercial industry in India.​
• Lord William Bentinck (1828-1835):
• During his tenure as Governor- General following were the various events that took place:
• Abolition of sati and other cruel rites (1829).
• Suppression of thugi (1830).
• Charter Act of 1833.
• Resolution of 1835, and educational reforms and introduction of English as the official language.
• Annexation of Mysore (1831), Coorg (1834) and Central Cachar (1834).
• Treaty of 'perpetual friendship with Ranjeet Singh.
• Abolished the provincial court of appeal and circuit.

Statements:

All pens are pencils.

Some pens are books.

Venn diagram:

Conclusions:

I. All books are pens → False (As some pens are books so all books are pens is possible but not definite)  

II. Some pencils are books → True (As some pens are books and all pens are pencils so definitely some pencils are books)  

Hence, “Only conclusion II follows” is the correct answer.

The correct answer is government.

Key Points

• In the Fixed Exchange Rate System, the government fixes the exchange rates at a particular level.
• A fixed exchange rate is a system used by a government or central bank that links the value of the nation's official currency to the currency of another nation or the price of gold.
• A fixed exchange rate system's goal is to maintain a currency's value within a specific range.
• Fixed exchange rates assist the government to maintain low inflation and provide exporters and importers more security.
• In the early 1970s, the floating exchange rate system was adopted by several industrialized countries.

Important Points

• For importers and exporters, fixed rates increase predictability.
• Fixed rates also assist the government in maintaining low inflation, which over time helps to keep interest rates low and promotes investment and commerce.
• The majority of large industrialized countries have had floating exchange rate systems, where the price of a currency is determined by the global market rate (forex).

Given:

11 -digit number 88p554085k6 is divisible by 72

k ≠ p

Concept used:

Divisibility Rule of 8 = If the last three digits of a number are divisible by 8, then the number is completely divisible by 8

Divisibility Rule of 9 = If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9

Calculation:

⇒ 72 = 8 × 9

So, the number must be divisible by both 8 and 9

Now,

5k6 is divisible 8

Here possible values of k can be 3, 7

Now,

⇒ 8 + 8 + p + 5 + 5 + 4 + 0 + 8 + 5 + 3 + 6 = 52 + p is divisble by 9 

So, p = 2

⇒ 8 + 8 + p + 5 + 5 + 4 + 0 + 8 + 5 + 7 + 6 = 56 + p is divisble by 9

So, p = 7

Now, 7 cannot be a possible value of p [∵ k ≠ p]

So, p = 2

Now,

⇒ (3k + 2p) = 3 × 3 + 2 × 2

⇒ 9 + 4

⇒ 13

∴ The required answer is 13.

The correct answer is Pink.

Key Points

• Singer Pink was honoured with the Icon Award at the 2021 Billboard Music Awards in May 2021.
• At the 2021 Billboard Music Awards, singer Pink received the Icon Award (BBMAs).
• The prize aims to honour musicians who have made an enduring contribution to music while enjoying success on the Billboard charts.
• Along with Neil Diamond, Stevie Wonder, Prince, Jennifer Lopez, Celine Dion, Cher, Janet Jackson, Mariah Carey, and Garth Brooks, Pink is the latest honoree.

Important Points

• Pink (stylized as Pink) is the stage name of Alecia Beth Moore, an American singer, songwriter, actress, and dancer.
• She formerly belonged to the female group Choice. Pink received a solo recording contract from LaFace Records in 1995 when they recognised her talent.
• Her R&B-influenced debut studio album Can't Take Me Home (2000) earned double platinum status in the US and produced the top ten singles "There You Go" and "Most Girls" on the Billboard Hot 100.

Additional Information 

• At the Microsoft Theater in Los Angeles, California, on May 23, 2021, the 2021 Billboard Music Awards were presented. Nick Jonas served as the ceremony's host, and it was live-streamed from NBC.
• On April 28, 2021, the finalists for the Top Hot 100 Artist, Top Latin Male Artist, and Top Rap Female Artist awards were revealed. On April 29, 2021, the entire list of nominations was announced.
• Mariah Carey is an American actress, singer, songwriter, record producer, and actress.
• She is recognised for her five-octave vocal range, melismatic singing style, and distinctive usage of the whistle register.
• She is also referred to as the "Songbird Supreme" and the "Queen of Christmas."
• J.Lo, commonly referred to as Jennifer Lynn Lopez, is an American dancer, actor, and singer.
• American country music performer and songwriter Troyal Garth Brooks.

The correct answer is Article 226.

Key Points

• The High Court's power to issue writs is mentioned under Article 226.
• A High Court is authorized to issue directives, orders, or writs under Article 226 for the enforcement of a Fundamental Right as well as for any other reason, including writs of habeas corpus, mandamus, prohibition, quo warranto, and certiorari.
• While exercising its judicial review authority, the High Court does not serve as an appellant body.
• It is concerned with the unlawfulness, irrationality, and improper procedural conduct of a state or statutory authority's order.

Important Points

• According to Article 233 of the Constitution, anyone who is not currently employed by the Union or the State may be appointed as a district judge only if they have not served as an advocate or a pleader for less than seven years and are nominated for appointment by the High Court.
• Article 230 in The Indian Constitution: Extension of jurisdiction of High Courts to Union territories
• While Section 28 of the RTI Act gives the Chief Justice of the High Court the authority to adopt rules to carry out the RTI Act's provisions, Article 225 of the Indian Constitution grants the High Court the authority to make rules on proceedings and other matters related to the High Court.

The correct answer is New Delhi.

Key Points

• The International Conference on Soil and Water Resources Management for Climate was organised in November 2019 in New Delhi to deliberate on the various issues and challenges of soil and water conservation.
• The five-day "International Conference on Soil and Water Resources Management for Climate Smart Agriculture and Global Food and Livelihood Security" was launched at the National Agricultural Science Centre Complex in New Delhi by Dr Trilochan Mohapatra, Secretary (DARE) & Director General (ICAR).
• With the aim of discussing the various problems and difficulties associated with soil and water conservation, the conference was jointly organised by the Soil Conservation Society of India, World Association of Soil and Water Conservation (WASWAC), China and the International Soil Conservation Organization (ISCO), United States.

Important Points

• In order to protect productive and sustainable agriculture, Dr. Mohapatra addressed his concerns regarding the deterioration of soil and water resources.
• According to him, the steadily rising temperature of the climate is a serious issue since it has a profound impact on human life.
• He believed that the catastrophic climate changes were primarily caused by numerous human activities.
• He also advised people to take a number of steps to lessen the effects of climate change.

Given:

An equilateral triangle of side 12 cm is inscribed in a circle.

Concept used:

Circumradius of an equilateral triangle = ${A \over \sqrt3}$ unit (A being the length of each side of it)

Area of a circle = πr²

Where r = radius of the circle

Calculation:

Since the equilateral triangle is inscribed in the circle, we can conclude that the circle is circumscribed around the equilateral triangle.

Hence, the circumradius of the equilateral triangle = ${12 \over \sqrt3}$ cm

Thus, the area of the circle = π × $({12 \over \sqrt3})^2$ = 48π cm²

∴ The area of the circle is 48π cm².

The correct answer is 60.

Key Points

• Article 60 of the Indian Constitution tells about the Oath and Affirmation of the President of India.
• Oath or Affirmation by the President:- Before entering his office, the President has to make and subscribe to an oath or affirmation. In his oath, the President swears:
• To faithfully execute the office.
• To preserve, protect and defend the Constitution and law.
• To devote himself to the service and well-being of the people of India.
• President makes and subscribes to an oath in the presence of the Chief Justice of India.​

Additional InformationSome Important Articles related to the President of India

The correct answer is Lysosomes.

Key Points

• Lysosomes:
• These are membrane-bound vesicular structures formed by the process of packaging in the Golgi apparatus.
• These are also called ''Suicidal bags'' because of their phagocytic activity. Lysosome keeps the cell clean by digesting any foreign material as well as worn-out cell organelles.
• If any cell or cell organelle gets damaged, the lysosome digest the damaged cell or cell organelle by the application of hydrolytic enzymes (hydrolases – lipases, proteases, carbohydrates)

Additional Information

• Golgi body
• Cells synthesize a large proteins and lipids.
• The Golgi apparatus is integral in modifying, sorting, and packaging these macro molecules for cell secretion.
• The Golgi apparatus is an organelle found in most Eukaryotic cells.
• It is also a major site of carbohydrate synthesis.
• Mitochondria
• Mitochondria (sing.: mitochondrion), unless specifically stained, are not easily visible under the microscope.
• The number of mitochondria per cell is variable depending on the physiological activity of the cells.
• In terms of shape and size also, a considerable degree of variability is observed.
• Typically it is sausage-shaped or cylindrical having a diameter of 0.2-1.0µm (average 0.5µm) and length 1.0-4.1µm.
• Each mitochondrion is a double membrane-bound structure with the outer membrane and the inner membrane dividing its lumen distinctly into two aqueous compartments, i.e., the outer compartment and the inner compartment
• Both mitochondria and plastid possess their own genetic material and ribosomes and thus, they are called as semi-autonomous organelles.
• The mitochondrial DNA and plastid DNA possess genes which produce the proteins necessary for the functioning of mitochondria and plastids respectively.
• Chloroplast
• The chloroplast is a double membrane-bound cell organelle.
• Out of the two membranes, the inner membrane is relatively less permeable. (the outer membrane contains porins).
• The space limited by the inner membrane is called the stroma.
• Chloroplasts contain chlorophyll and carotenoid pigments which are responsible for trapping of light energy essential for photosynthesis.
• The majority of chloroplasts are found in the mesophyll cells of the leaves.

The correct answer is cannot be enforced by any court.

Key Points

• DPSP
• Part IV of the Indian Constitution deals with the Directive Principles of State Policy(Article 36 to 51).
• Directive Principles of State Policy (DPSP) of the Indian Constitution was influenced by a similar feature of the Irish Constitution.
• Dr B R Ambedkar called DPSP "Novel features of the Indian constitution".
• K.T Shah called DPSP as "A cheque on a bank payable at the convenience of the bank".
• Directive Principles deal with economic, social, and cultural rights.
• Directive Principles are non-justiciable (Article 37).
• Sapru committee incorporated the Directive Principles of State Policy into the Indian constitution.

Given:

49 - [35 + {12 ÷ 3 of (6 + $\overline{7 - 12}$)}]

Concept used:

Calculation:

49 - [35 + {12 ÷ 3 of (6 + $\overline{7 - 12}$)}]

⇒ 49 - [35 + {12 ÷ 3 of (6 - 5)}]

⇒ 49 - [35 + {12 ÷ 3 of 1}]

⇒ 49 - [35 + {12 ÷ 3}]

⇒ 49 - [35 + {12 ÷ 3}]

⇒ 49 - [35 + 4]

⇒ 49 - 39

⇒ 10

∴ Required answer is 10.

Decoding the information, 

Given:

52 K 4 Q 6 J 12 T 8

After replacing the signs from left to right and using the BODMAS rule,

= 52 ÷ 4 + 6 × 12 - 8

= 13 + 6 × 12 - 8

= 13 + 72 - 8

= 85 - 8

= 77

Hence, “77” is the correct answer.

Shortcut Trick

Total work = LCM(18, 30) = 90 units.

Efficiency of X = 5, Efficiency of Y = 3.

Z is 50% more efficient than Y ⇒ Z's efficiency = 3 + 1.5 = 4.5.

Work by (Y + Z) in 4 days = 4 × (3 + 4.5) = 30 units.

Remaining work (90 − 30 = 60 units) is done by (X + P) in 4 days ⇒ Efficiency of P = (60 ÷ 4) − 5 = 10.

Time taken by P alone = 90 ÷ 10 = 9 days.

∴ The correct answer is 9 days.

Alternate Method

Given:

Time taken by X = 18 days

Time taken by Y = 30 days

Z is 50% more efficient than Y.

Calculations:

⇒ Efficiency of Z = Efficiency of Y + (50% of Efficiency of Y)

⇒ Efficiency of Z = 3 + (0.5 × 3) = 4.5 units/day

⇒ Y and Z started the work and left after 4 days.

⇒ Work completed by Y and Z = 4 × (Efficiency of Y + Efficiency of Z)

⇒ Work completed by Y and Z = 4 × (3 + 4.5) = 4 × 7.5 = 30 units

⇒ Remaining work = Total Work − Work completed

⇒ Remaining work = 90 − 30 = 60 units

⇒ This remaining work is completed by X and P in 4 days.

⇒ Combined efficiency of X and P = Remaining work ÷ Time

⇒ Combined efficiency of X and P = 60 ÷ 4 = 15 units/day

⇒ Efficiency of P = Combined efficiency − Efficiency of X

⇒ Efficiency of P = 15 − 5 = 10 units/day

⇒ Time taken by P alone to complete the original work = Total Work ÷ Efficiency of P

⇒ Time taken by P = 90 ÷ 10 = 9 days

∴ The correct answer is 9 days.

Additional Information

Efficiency and Time

The time taken by a person to complete a piece of work is inversely proportional to their efficiency. Higher efficiency results in lesser time taken.

Total Work Concept

Total Work can be assumed as the Least Common Multiple (LCM) of the given individual times to simplify efficiency calculations. Total Work = Efficiency × Time.

Work and Wages

Wages are distributed in direct proportion to the amount of total work completed by each individual, or their efficiency if they work for the same number of days.

Pipes & Cisterns

Functions identically to Time & Work problems, with the exception that outlet pipes or leaks are treated as negative efficiency.

The correct answer is 7.7%.

Key Points

• According to the Ministry of Fisheries (2020), India contributes about 7.7% to global fish production.
• India ranks fourth in the world for exports of fish products and provides 7.7% of the world's fish production.
• The industry planned to raise farmers' incomes by boosting output and productivity, enhancing quality, and lowering waste.
• Considering that the centrally sponsored program "Blue Revolution," which debuted in December 2015, had greatly aided the growth of the industry.
• In 2018–19, the Fisheries sector made up roughly 1.24 percent of the country's GVA and 7.28 percent of the agricultural GVA.

Important Points

• On November 21, 2020, in the NASC Complex, Pusa, New Delhi, the Department of Fisheries, Ministry of Fisheries, Animal Husbandry, and Dairying, Government of India, celebrated "World Fisheries Day."
• The "Pradhan Mantri Matsya Sampada Yojana" (PMMSY) was introduced by Prime Minister Shri Narendra Modi on September 10, 2020, with an expected investment of Rs. 20,050 crores for a five-year period, from 2020–2021 to 2024–2025.
• By 2024–2025, PMMSY hopes to increase fish production to 22 million metric tonnes (MMT) and offer an additional 55 lakh people employment opportunities.

Concept used:

Prime number: A prime number is a number that can be divided only by one and the number itself.

Example - 2, 3, 5, ..etc.

Formula used:

The arithmetic mean = Sum of all terms/ Number of terms

Calculation:

According to the question,

First 10 prime numbers = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

The arithmetic mean = (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29)/10

⇒ 129/10 = 12.9

The arithmetic mean of the first ten prime numbers is 12.9.

Seven friends A, B, C, D, E, F and G are sitting facing the centre in a circular position.

1. F is sitting to the immediate right of C.

2. C is sitting at the second position to the right of G.

3. B is an immediate neighbour of both D and E.

4. E is sitting at the third position to the right of A.

Now check all the options,

Option (1): C is sitting at the third position to the right of D → True

Option (2): A is sitting to the immediate left of C → True

Option (3): B is sitting to the immediate right of G → False (B is sitting to the immediate right of E)

Option (4): E is sitting at the third position to the left of G → True

Hence, “Option (3)” is the correct answer.

The correct answer is Odisha.

Key Points

• The Paika Naach or Paika Nritya is a well-known Orissan dancing style from the Khurda district.
• It is an intense dance performance that calls for a lot of vigour and energy.
• It has been a staple of Orissa since the dawn of time and is now an integral component of the state's well-known celebrations.
• The Paika dance, performed by the Munda tribe in the Jharkhand region of Mayurbhanj, is well-known.
• It is a distinctive folk dance that embodies martial arts.
• The dance plays a significant role in weddings, Dussehra, and numerous other festivities.​

Important Points

• Odissi is one of the most well-known Indian classical dance forms, along with Bharatanatyam, Kuchipudi, Kathak, Kathakali, and Manipuri.
• It is indigenous to Orissa in eastern India and adheres to the Natya-tenets. shastra's Odissi emphasises sinuous postures and is energized by various heights and hops, sharing a basic pattern with Bharatanatyam. It is primarily a female dance.

Additional Information

Given:

1. Rekha was standing facing the east.
2. Then turned 90 degrees right.
3. Then turned 45 degrees in the anti-clockwise direction.
4. Then turned 90 degrees clockwise.

According to the given information, we get the following figure

Therefore, the direction  Rekha is facing right now is South - West.

Hence, the correct answer is "South - West".

Shortcut Trick

In an equilateral triangle, altitude = (√3 ÷ 2) × side = (√3 ÷ 2) × 12 = 6√3 cm.

Angle bisector CD is also the altitude and median, making BD = 12 ÷ 2 = 6 cm.

Since E is the midpoint of CD, DE = 6√3 ÷ 2 = 3√3 cm.

Using Pythagoras theorem in right ΔBDE: BE = √(BD² + DE²) = √(6² + (3√3)²).

BE = √(36 + 27) = √63 = 3√7 cm.

∴ The correct answer is 3√7 cm.

Alternate Method

Given:

Side of equilateral ΔABC = 12 cm.

CD is the bisector of ∠C meeting AB at D, and E is the mid-point of CD.

Formula Used:

Altitude of equilateral triangle = (√3 ÷ 2) × side

Pythagoras Theorem: Hypotenuse² = Base² + Perpendicular²

A B C D E

6 cm 6 cm 3√3 cm 3√3 cm

?

Calculations:

In an equilateral triangle, the angle bisector is also the median and altitude to the opposite side.

⇒ ΔCDB is a right-angled triangle at D.

⇒ BD = AB ÷ 2 = 12 ÷ 2 = 6 cm

⇒ CD = (√3 ÷ 2) × 12 = 6√3 cm

Since E is the midpoint of CD:

⇒ DE = CD ÷ 2 = 6√3 ÷ 2 = 3√3 cm

Now, applying Pythagoras theorem in right-angled ΔEDB:

⇒ BE² = BD² + DE²

⇒ BE² = 6² + (3√3)²

⇒ BE² = 36 + 27 = 63

⇒ BE = √63 = √(9 × 7) = 3√7 cm.

∴ The correct answer is 3√7 cm.

Additional Information

Equilateral Triangle Properties

In an equilateral triangle, all three sides are equal, and each angle is 60°. The altitude, median, angle bisector, and perpendicular bisector drawn from any vertex are exactly the same line.

Altitude Formula

The length of an altitude (h) in an equilateral triangle of side 'a' is given by the formula h = (√3 ÷ 2) × a.

Pythagoras Theorem

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: H² = P² + B².

The correct answer is Rajnath Singh.

Key Points

• The Lok Sabha passed the Essential Defence Services Bill, 2021 on 3 August 2021.
• The bill seeks to replace the ordinance promulgated in June 2021 and allows the central government to prohibit strikes, lock-outs, and lay-offs in units engaged in essential defense services.
• The prohibition order will remain in force for six months and may be extended by another six months.​

Additional Information

• Key features of the Bill include:
• Essential defence services:
• Essential defence services include any service in: (i) any establishment or undertaking dealing with the production of goods or equipment required for defence-related purposes, or (ii) any establishment of the armed forces or connected with them or defence.
• Public utility service: The Bill amends the Industrial Disputes Act, 1947 to include essential defence services under public utility services.
• Strikes: Under the Bill, the strike is defined as cessation of work by a body of persons acting together.
• Prohibition on strikes, lock-outs, and lay-offs: Under the Bill, the central government may prohibit strikes, lock-outs, and lay-offs in units engaged in essential defence services.

The logic here is,

WLX : SHT

And,

FGJ : BCF

Similarly,

? : KPF

Hence, "OTJ" is the correct answer.

Given:

Length and the height of a cuboid are 18 m and 12 m respectively

Volume = 3024 m3

Concept used:

Volume of a cube = (l × b × h)

l = length

b = breadth

h = height

Calculation:

Let the breadth be b m

Now,

18 × 12 × b = 3024

⇒ 216b = 3024

⇒ b = 3024/216

⇒ b = 14

So, breadth of the cuboid = 14 m

∴ Its breadth (in m) 14.

Given:

• In a class consisting of 67 students.
• Teena ranked 12th from the top and her friend Rishabh ranked 26th from the bottom.

Rishabh rank from the top:

=> Total students = Rishabh rank from top + Rishabh rank from the bottom - 1

=> 67 = Rishabh rank from top + 26 - 1

=> Rishabh rank from top = 67 - 25 = 42

Students ranked between Teena and Rishabh:

=> Students ranked between Teena and Rishabh = Rishabh rank from top - Teena rank from top - 1

=> Students ranked between Teena and Rishabh = 42 - 12 - 1 = 42 - 13 = 29

Hence, "29" Students ranked between Teena and Rishabh.

The correct answer is Swarna Jayanti Shahari Rozgar Yojana.

Key Points 

• On December 1st, 1997, the Swarna Jayanti Shahari Rozgar Yojana (SJSRY) programme was implemented in India.
• The programme encourages the creation of self-employment projects or the provision of pay employment in an effort to give the underemployed and the poor in metropolitan areas to access to productive employment.
• Cost-sharing between the Center and the States in the ratio of 75:25 is being used to implement the SJSRY system.
• Only 50,000 urban poor people receive benefits under SJSRY, self-employment due to the inadequate allocations for the programme, which benefits roughly 2 lakh urban poor people under skill development.

Important Points

• Considering that the number of the urban poor was predicted to be 81 million in 2004–2005 and that the Nationwide Council on Skill Development has set a national aim of 500 million people to be skill-trained by 2022, the target under skill development for the urban poor is quite low.
• The SJSRY was discontinued in 2013 in favour of the National Urban Livelihood Mission (NULM), which is now known as the Deendayal Antyodaya Yojana - National Urban Livelihoods Mission (DAY-NULM).
• Both are merely job programmes designed to let urban poor people work for themselves and for pay. For urban areas, there is no MGNREGA-style employment guarantee programme as of 2022.

The correct answer is Ajay Kumar.

Key Points

• The Appointments Committee of the Cabinet (ACC) has given the additional charge of Secretary of Department of Defence Production to the Defence Secretary Dr Ajay Kumar (IAS).
• Defence Ministry has formulated a draft Defence Production and Export Promotion Policy 2020 (DPEPP-2020).
• The policy aims to provide impetus to self-reliance in defence manufacturing under the Atmanirbhar Bharat Scheme.
• Its 1st goal is to achieve a turnover of Rs. 1,75,000 core including export of Rs. 35,000 Crore in the Aerospace and Defence goods and services by the year 2025.

The pattern followed here is:

Hence, the correct answer is "4".

Given:

The time taken by a boat to go 7 km downstream is the same as the time taken by it to go 3 km upstream

It can go 14 km upstream and the same distance downstream in a total time of 6$\frac{2}{3}$ hours

Concept used:

Speed = Distance/time

Downstream speed = u + v

Upstream speed = u - v

Calculation:

Let the speed of the boat be u and the speed of the stream be v

According to the question,

$\rm\frac{7}{u+v}=\frac{3}{u-v}$

⇒ $\rm\frac{u-v}{u+v}=\frac{3}{7}$

So, speed in downstream = 7 km/h, and upstream = 3 km/h

So,

To go 16.8 km upstream will take = 16.8/3

⇒ 5.6 hours

∴ It will take 5.6 hours to go 16.8 km upstream.

Given:

Five friends Komal, Harris, Paul, Daniel and Meghana are standing in a row facing north.

1. Only Harris is between Komal and Meghana.

2. Paul is to the immediate right of Meghana.

3. Daniel is to the immediate left of Komal.

Now check all the Options,

Option (1): Daniel is third to the left of Meghana → True (Daniel is third to the left of Meghana)

Option (2): Harris is to the right of Meghana → False (Paul is to the right of Meghana)

Option (3): Harris is to the left of Komal → False (Daniel is to the left of Komal)

Option (4): Komal is third to the left of Harris → False (Noting is sitting third to the left of Harris)

Hence, the correct answer is "Option (1)".

The logic followed here is:

(1^st number + 2^nd number + 3^rd number) ÷ 5 = RHS

Now follow the steps:

36, 58, 21 = 23

= (36 + 58 + 21) ÷ 5

= 115 ÷ 5

= 23 = RHS

And,

41, 39, 20 = 20

= (41 + 39 + 20) ÷ 5

= 100 ÷ 5

= 20 = RHS

Similarly,

39, 52, 34 = ?

= (39 + 52 + 34) ÷ 5

= 125 ÷ 5

= 25 = RHS

Hence, the correct answer is "25".

Given:

12.5% of the first number is 37.5% of the second number.

2nd number - 1st number = 1428

Calculation:

12.5% = 1/8 and 37.5% = 3/8

Let the numbers be 8a and 8b

According to the question,

8a × 1/8 = 8b × 3/8

⇒ a = 3b

So, the first number is 8 × 3b = 24b

Now,

24b - 8b = 1428

⇒ 16b = 1428

⇒ b = 89.25

So, the actual numbers are 89.25 × 24 = 2142, and 89.25 × 8 = 714

Sum of the numbers = 2142 + 714

⇒ 2856

∴ The sum of the two numbers is 2856.

The pattern followed here is:​

ALMIRAH is written as HRRMUCI

And,

COMPANY is written as JURTDPZ

Similarly,

'JUNGLEE' = ?

Hence, 'JUNGLEE' is coded as "QASKOGF".

Given:

‘A & B' means 'A is younger than B'

'A @ B' means 'A is equal to B'

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

Now break the code of ‘P & Q @ Y & Z & T’

1) P & Q

‘P & Q’ means ‘A is younger than B’

2) Q @ Y

‘Q @ Y’ means ‘A is equal than B’.

3) Y & Z

' Y & Z’ means ‘A is younger than B’

4) Z & T

‘Z & T’ means ‘A is younger than B’

After combining all the data.

P < Q = Y < Z < T

Hence, ‘T’ is the oldest among all.

Given:

The initial profit percentage on the sale of an item was 74%

Concept used:

SP = CP + CP × profit%

Here,

SP = Selling price

CP = Cost price

Calculation:

Let the CP of an article be 100a

So, profit = 100a × 74%

⇒ 74a

So, SP = 100a + 74a

⇒ SP = 174a

New CP = 100a + 100a × 50%

⇒ 100a + 50a = 150a

So, new profit = 174a - 150a

⇒ 24a

Profit% = (24a/150a) × 100

⇒ 16

∴ The new profit percentage would be 16%.

The pattern followed here is:

 

Hence, the correct answer is "IAH".

Given:

SP = 123

Discount% = 18%

Profit% = 25%

Concept used:

SP = MP - MP × discount%

SP = CP + CP × profit%

Calculation:

According to the question,

MP - MP × 18% = 123

⇒ MP - 0.18MP = 123

⇒ 0.82MP = 123

⇒ MP = 123/0.82

⇒ MP = 150

If he sells the article at MP the there is a profit of 25%

So,

CP + CP × 25% = 150

⇒ CP + 0.25CP = 150

⇒ 1.25CP = 150

⇒ CP = 150/1.25

⇒ CP = 120

So, its cost price is Rs. 120

∴ The cost price in (in Rs.) of the article is 120.

Given:

Three friends A, B, and C divide Rs. 5525 amongst them in such a way that if Rs. 50, Rs. 100 and Rs. 75 are removed from the sums that A, B and C received respectively, then the share of the sums that they get would have been in the ratio of 11 ∶ 18 ∶ 24. 

Calculation:

Let the common ratio be Q.

Original shares,

A's share = 11Q + 50

B's share = 18Q + 100

C's share = 24Q + 75

According to the question,

(11Q + 50) + (18Q + 100) + (24Q + 75) = 5525

⇒ 53Q + 225 = 5525

⇒ 53Q = 5525 - 225

⇒ Q = 5300 ÷ 53

⇒ Q = 100

Now, C initially received

⇒ 24Q + 75

⇒ 24 × 100 + 75

⇒ 2475

∴ C initially received Rs. 2475.

The pattern followed here is:

SOFA is written as TQIE

And,

CLOAK is written as DNREP

Similarly,

'TABLE' = ?

Hence, 'TABLE' is coded as "UCEPJ".

The correct answer is Both SRAM and DRAM are random access memory.

Key Points

• Random-access memory comes in both SRAM and DRAM varieties.
• Both RAMs were developed to give different programmes access to data storage. A form of RAM known as SRAM (Static Random Access Memory) saves data bits in the memory when it is powered on.
• However, DRAM (dynamic random access memory) stores information in bits in both transistor and capacitor cell structures.

Important Points

• The term "SRAM" refers to a specific kind of RAM (random-access memory) that primarily uses flip-flops or latching circuits to store each bit of data.
• SRAM is also known as static random-access memory.
• Each bit of data is kept directly in the memory cell when using a certain kind of semiconductor memory called DRAM (dynamic random access memory).
• The transistor and small capacitor in his memory cell are both MOS (metal-oxide-semiconductor) devices.

The correct answer is Indira P P Bora.

Key Points

• Indira P P Bora was selected for 'Guru Gopinath Desiya Natya Puraskaram, 2019' by the State Government of Kerala for popularising Sattriya - the Indian classical dance form of Assam.
• Indira P.P. Bora, a Sattriya dancer, has been chosen to receive the Guru Gopinath Desiya Natya Puraskaram, 2019, the State government's highest honour given annually for excellence in dance.
• The Guru Gopinath Natana Gramam established the prize for the Culture Department.
• A notable form of Indian classical dance is sattriya. The scholar and saint Mahapurush Srimanta Sankardev, a member of the Bhakti movement, is credited with creating this dance-drama performance art, which has its roots in the Assamese Vaishnavism monasteries that are centred on Krishna.

Important Points

• With Sattriya dance, Tankeswar Hazarika Borbayan is known. Tankeswar has been chosen for the 2018 Sangeet Natak Akademi Awards (Akademi Puraskar).
• Guru Ramkrishna Talukdar is the first Assamese individual to receive an "A" grade accreditation from Doordarshan Delhi in Sattriya.
• Sangeet Natak Akademi Award nominee for 2016 is Assamese Sattriya dancer Haricharan Bhuyan Borbayan.

Given:

Two natural numbers are in the ratio of 6 ∶ 5 and the product of their LCM and HCF is 6750. 

Concept used:

LCM × HCF = Product of two numbers

Calculation:

Let the common ratio be Q.

Hence, the two natural numbers are 6Q and 5Q.

Thus, the product of the two natural numbers = 6Q × 5Q = 30Q²

According to the question,

30Q² = 6750

⇒ Q² = 225

⇒ Q = 15 (since we're only considering the natural numbers)

⇒ 6Q = 90

⇒ 5Q = 75

Now, 

6Q + 5Q = 90 + 75

⇒ 6Q + 5Q = 165

∴ The sum of the numbers is 165.

The logic here is,

LST : MQW

And,

KOP : LMS

Similarly,

? : HNT

Hence, "GPQ" is the correct answer.

The correct answer is Primary.

Key Points

• In India, the primary sector employs a disproportionately large number of people.
• In the primary sector, 50–60% of the workforce is employed. Additionally, this industry makes for one-fourth of the GDP.
• The primary sector is made up of all endeavours whose ultimate goal is the exploitation of natural resources, such as agriculture, fishing, forestry, mining, and deposits.

Important Points

• Secondary Sector
• The production of goods in the economy, including the processing of raw materials generated by the primary sector, is under the purview of the secondary sector.
• ​Tertiary Sector
• The tertiary sector encompasses a wide range of activities, including commercial and personal services, education, health care, social work, transportation, financial and real estate activities, and administration.
• ​Quaternary sector
• The economic activity connected to the intellectual or knowledge-based economies forms the foundation of the quaternary sector of the economy.

The correct answer is Indonesia.

Key Points

• The Greater Sundas (Sumatra, Java, Borneo, and Celebes), the Lesser Sundas, the Moluccas, and western New Guinea are the main islands and island groups that make up the Republic of Indonesia.
• The Philippines' main islands are Mindanao in the south, Luzon in the north, and the Visayas in the middle.
• Brunei, Papua New Guinea, and East Malaysia (Sabah and Sarawak) are other political entities in the archipelago.
• The Malay Archipelago, the biggest collection of islands in the world, is made up of roughly 7,000 islands in the Philippines and more than 17,000 islands in Indonesia.
• The archipelago is sometimes referred to by its local name, "East Indies."

Important Points

• Between the Indian and Pacific oceans, in Southeast Asia and Oceaania, is the nation of Indonesia, formally known as the Republic of Indonesia.
• Sumatra, Java, Sulawesi, and portions of Borneo and New Guinea are among the more than 17,000 islands that make up this archipelago.
• With 1,904,569 square kilometres, Indonesia is the world's largest country by area, the largest archipelagic state, and the largest island nation (735,358 square miles).
• Indonesia, which has a population of over 275 million, is the fourth-most populous nation in the world and the largest Muslim-majority nation.
• Moreover half of the people in the nation live in Java, the island with the highest population in the world.

Additional Information

• Indonesia: (As on July 2022)
• Capital and largest city: Jakarta
• Official language: Indonesian
• President: Joko Widodo
• Vice President: Ma'ruf Amin
• Currency: Indonesian rupiah