Given:  

Diagonal of a rectangular field = 37m  

Area = 420 m²  

Rate of fencing = Rs. 37.5/m 

Formula used: 

Area of the rectangular field = l × b  

Diagonal of the rectangle field = √(l² + b²) 

Perimeter = 2 × (l + b)  

Calculation: 

⇒ √(l² + b²) = 37 

⇒ (l² + b²) = (37)²      ........(1) 

⇒ l × b = 420      ........(2) 

⇒ (1) + 2 × (2), we get,  

⇒ (l² + b²) + 2 lb = (37)² + 2 × 420  

⇒ (l + b)² = 1369 + 840 = 2209 

⇒ (l + b)  = 47 

Perimeter

⇒  2 × (l + b) = 2 × 47 = 94 m  

The total cost of fencing the field,

⇒  37.5 × 94 = Rs. 3525.  

∴ The total cost of fencing is Rs. 3525.

Calculations:

Let the unknown number be 'a'.

(25% × 800) + (30% × 120) = 190 + (23% of a)

⇒ (25% × 800) + (30% × 120) - 190 = (23% × a)

⇒ (0.25 × 800) + (0.30 × 120) - 190 = (0.23 a)

⇒ 200 + 36 - 190 = 0.23a

⇒ 10 + 36 = 0.23a

⇒ a = 46/0.23 

⇒ 200.

∴ The simplified value will be 200.

Given:

Principle (P) = Rs. 6250 

Rate of interest (R) = 12% per annum 

Time period (T) = 3 years 

Formula used:

Simple Interest (SI) = (P × R × T)/100

Calculations:

SI = (6250 × 12 × 3)/100

⇒ SI = 225000/100

⇒ SI = Rs. 2250

∴ The Simple Interest will be Rs. 2250.

The correct answer is Article 44.

Key Points

• The Uniform Civil Code calls for the formulation of one law for India, which would be applicable to all religious communities in matters such as marriage, and divorce adoption.
• The Code comes under Article 44 of the Constitution, which lays down that the state should endeavour to secure a Uniform Civil Code for the citizens throughout the territory of India
• The Saffron Party was the first to promise the implementation of UCC if it comes to power and the issue was part of its 2019 election manifesto.
• The objective of This article of the Directive Principles in the Indian Constitution was to address the discrimination against vulnerable groups and harmonize diverse cultural groups across the country.

Additional Information

• Article 46 calls for the promotion of educational and economic interests of Scheduled Castes, Scheduled Tribes and other weaker sections.
• Article 43A Participation of workers in the management of industries.

Shortcut Trick

Since x and y are in direct proportion, the ratio y/x is constant.

Constant ratio (k) = 92.5 ÷ 37 = 2.5

Required value of y = 16 × 2.5 = 40

∴ The correct answer is 40.

Alternate Method

Given: x₁ = 37, y₁ = 92.5 and x₂ = 16

Formula: For direct proportion, y₁/x₁ = y₂/x₂

⇒ 92.5 / 37 = y / 16

⇒ 2.5 = y / 16

⇒ y = 2.5 × 16

⇒ y = 40

∴ The correct answer is 40.

Additional Information

Direct Proportion

Two quantities x and y are in direct proportion if the ratio x/y remains constant (k). The relation is expressed as y = kx.

Inverse Proportion

Two quantities x and y are in inverse proportion if their product xy remains constant (k). The relation is expressed as y = k/x.

Constant of Proportionality

The value k is the constant of proportionality, which defines the rate of change between the two related variables.

The correct answer is open market operations.

Key Points

• Open market operations refer to central bank purchases or sales of government securities in order to expand or contract money in the banking system and influence interest rates.
• It comes under macroeconomics.
• OMO is an activity by a central bank to give liquidity in its currency to a bank or a group of banks.
• The central bank gives money as a deposit for a defined period.
• The usual aim of OMO is following:
• To manipulate the short-term rate.
• Indirectly the total money supply.
• Expanding money or contracting the money supply.

Additional Information

• With a closed market order, the insider is buying or selling shares at a price above or below the market and directly from and to the company rather than openly in the market.
• The domestic and foreign market in a given country. That is, the national market describes the supply and demand for all securities that are traded in a country. Each national market is governed by the regulations of its country.
• An international market is defined geographically as a market outside the international borders of a company's country of citizenship.

The correct answer is Niger.

Key Points

• Niger is the highest crude birth rate in the world in 2020 with 6.8 children per woman.
• The birth rate in a period is the total number of live births per 1000 population divided by the length of the period in years.
• The average global birth rate is  18.1 birts per 1000 total population in 2021.
• The death rate was 7.7 per 1000.

Additional Information

• China had a Crude Birth Rate of 11.29 births per thousand population.
• Egypt had a Crude Birth Rate of 25.07 birts per thousand population.
• In 2020, the birth rate for Lesotho was 26 per 1,000 people.

The correct answer is Madhya Pradesh.

Key Points

• The Economic Survey of India is an annual document of the Ministry of Finance, Government of India.
• The Department of Economic Affairs, Ministry of Finance Presents the survey in the Parliament every year,
• They present the Servey just before the Union Budget.
• It is prepared under the guidance of the Chief Economic Adviser of India.

Additional Information

• Gujarat is the largest producer of motor cash crops like cotton, groundnut, tobacco cumin, sesamum, etc.
• West Bengal is the largest producer of rice in India.
• Uttar Pradesh is the largest producer of wheat in India.

The correct answer is Calamine.

Key Points

• Calamine is used to reduce the irritating effect of ambient because it reacts with sodium hydrogen carbonate released due to the ba few with formic acid present in calamine.
• Ants release a chemical called formic acid onto your skin when they bite.
• The release of this acid. along with the pinch form from the mandibles, cues symptoms of an ant bite.

Additional Information

• Benzyl Alcohol is a base.
• Caprylyl Glycol is an alcohol derived from caprylic acid.
• Benzethonium Chloride also known as hyaline is a synthetic quaternary ammonium salt.

The correct answer is  Comptroller and Auditor General of India .

Key Points

• The Comptroller and Auditor General is the sole authority authorized in the Constitution charged with the responsibility of audit of accounts of the Union and of the States.
• As state by article 150 of the Constitution, the form in which the accounts of the Union and of the states shall be retained is to be authorized by the President on the advice of the Comptroller and Auditor General of India.
• As state by the provisions of section 139 of the Companies Act 2013, the auditor for a government company shall be appointed by the Comptroller & Auditor General of India (C&AG for a financial year within 180 days from the starting point of the financial year.

Additional Information

• The Attorney General for India is the Indian government's chief legal advisor, and is its principal Advocate previous to the Supreme Court of India.
• The Finance Commissions are commissions regularly constituted by the President of India under Article 280 of the Indian Constitution to define the financial relations joining the central government of India and the individual state governments.
• The Minister of Finance is the head of the Ministry of Finance of the central government of india.

Given:

Speed of trains are respectively 30 km/h and 35 km/h

One train traveled 30 km more than other

Formula used:

Distance = Speed × Time

Calculations:

Let the time of traveling be 't' hours

Distance travelled by train with speed 35 km/h = 35 × t = 35t

Distance travelled by train with speed 30 km/h = 30 × t = 30t

According to the question

The difference in distance traveled by two trains = 30 km

⇒ 35 × t - 30 × t = 30

⇒ 35t - 30t = 30

⇒ 5t = 30

⇒ t = 6 hours

Distance between stations = (35 × 6) + (30 × 6) = 210 + 180 = 390 km

∴ The distance between the two stations is 390 km.

The correct answer is 100 lakh crores.

Key Points

• Prime Minister Narendra Modi announced that the center will launch the "PM Gati Shakti Master Plan" a rupees 100 Lakh crore project for developing "Holistic Infrastructure.
• PM Modi pegged the project as a source of employment opportunities for the youth in the future.
• It also raises possibilities of new future economic zones.
• PM Gati Shakti - National Master Plan at Pragati Maidan in New Delhi on October 13, 2021.

Additional Information

• Other Important Yojna's By PM
• Pradhan Mantri Jan Dhan Yojana (PMJDY).
• Jan Dhan to Jan Suraksha.
• Pradhan Mantri Jeevan Jyoti Bima Yojana (PMJJBY).
• Pradhan Mantri Suraksha Bima Yojana (PMSBY).
• Atal Pension Yojana (APY).
• Pradhan Mantri Mudra Yojana.
• Stand Up India Scheme.
• Pradhan Mantri Vaya Vandana Yojana.

Correct answer is Article 219.

Key Points

• Draft Article 195 (Article 219) was talk over on 7^th June 1949.
• It have need of judges of a High Court to take an oath or assertion prior to entering office.
• ​Every person appointed to be a judge of a supreme court in a very State shall, before he enters upon his office, make and subscribe before the Governor of the State or some person appointed in this behalf by him a declaration consistent with the shape began for the aim within the 3^rd Schedule.
• Draft Article 195 (Article 219) was debated on 7^th June 1949 oath or affirmation before entering office.

Additional Information

• Article 185_ The Chairman or the Deputy Chairman not to guide while a decision for his moving from office is under consideration.
• Article 289_ Exemption of property and income of a State from Union taxation.
• Article 256, states that 'Every State shall utilize its executive powers in conformity with the laws made by the Parliament and with all the pre-existing laws prevailing in the State.

Given:

Rate of interest for Scheme A  (R) = 12% per annum 

Rate of interest for Scheme B (R) = 10% per annum 

Total Simple Interest = Rs. 125

Formula Used:

SI = (P × R × T)/100

Calculations:

Let the amount invested in Scheme A be 'x' and that invested in Scheme B be 'y' Then, the total annual interest,

(y × 10 × 1)/100 + (x × 12 × 1)/100 = 125

⇒ (12x + 10y)/100 = 125

⇒ 6x + 5y = 6250    ..........(1)

Again, the amount invested in Scheme B is 12% 'y' and the invested in Scheme B is 'x'.Then, total annual interest at the new rates

(x × 10 × 1)/100 + (y  × 12 × 1)/100 = 128

⇒ (10x + 12y)/100 = 128

⇒ 5x + 6y = 6400    ..........(2)

Adding (1) and (2), we get

⇒ 11x + 11y = 12650

⇒ 11(x + y) =  12650

⇒ x + y = 1150     ............(3)

Subtracting (2) from (1), we get

⇒ x - y = -150      ..............(4)

Adding (3) and (4), we get

⇒ 2x = (1150 -150)/2 = 500 

Putting x = 500 in (3), we get

⇒ 500 + y = 1150

⇒ y = Rs. 650

∴ The amount invested at 10% per annum simple interest originally is 650.

The logic followed here is:

And

​

Similarly,

Hence, the correct answer is "option (4): NGAMETIC".

According to the given information,

• Fourteenth from right end -

       (Left) G 6 &  4 Y 8 9 # @ W H 5 \% 6 & K 9 @ R 9 4 T & \% # U Y 8  # Q Y 8 4 $ (Right)

• Ninth to the right of the fourteenth of the right ( T )

          T & % # U Y 8 $ # Q Y 8 4 $ (Right). 

So Q  is ninth to the right of the fourteenth from the right end of the given arrangement.

Hence, “2” is the correct answer.​$

The correct answer is Sandstone.

Key Points

• Lion Capital is situated at Sarnath, close by Varanasi.
• It was constructed in 250 BCE.
• It is made up of polished sandstone.
• The Lion Capital of Ashoka is the capital of a column dig out by the Archaeological Survey of India (ASI) in Sarnath, Uttar Pradesh, India exhibiting four Asiatic lions standing back to back on a round abacus.

Additional Information

• Under each lion, the abacus shows a dharma chakra, the Buddhist wheel of the moral law in high relief. In the middle of the chakras, the figure of a lion, an elephant, a bull, and a horse, appear also in high relief.
• The revealing of the model was undertaken by F. O. Oertel in the ASI winter season of 1904–1905.​
• In July 1947, Jawaharlal Nehru, the interim prime minister of India, and soon-to-be prime minister of the Dominion of India formally proposed in the Constituent Assembly of India that the wheel on the abacus of the Sarnath capital be the model of the national flag of India and the capital itself without the lotus the state emblem of India.
• The proposal was accepted in December 1947.

EXPLANATION:

 1. Only three friends are younger than R.

            >          >  R    >         >        >         .

 2. P is younger than only S.

       S     >    P      >  R    >         >        >         .

 3. U is not the youngest. U is younger than T.

       S     >    P      >  R    >    T     >   U     >    Q     . 

Therefore, two friends U and Q are smaller than T.

Hence, the correct answer is "2".

Given:  

Circumference of the base (C) = 176 cm 

Height (h) = 12 cm 

Formula used:  

Circumference of the base = 2 × π × r 

Total surface area (TSA) of cylinder = 2 × π × r × (r + h) 

Calculation: 

According to the question,

Circumference of the base = 176 

176 = 2 × π × r 

⇒ 176 = 2 × 22 / 7 × r 

⇒ 176 × 7 / 2 × 22 = r 

⇒ 8 × 7 / 2 = r 

⇒ r = 56 / 2 

⇒ r = 28 

Now T.S.A.: 

2 × π × 28 × (28 + 12) 

⇒ 2 × π × 28 × 40 

⇒ 2 × π × 1120 

⇒ 2240 × π = 7040 cm2.

 ∴ The Total Surface Area of the cylinder will be 7040 cm².

Shortcut Trick

Ratio of Radius (Cylinder : Hemisphere) = (100 + 16 2/3) : 100 = 7 : 6

Volume of Cylinder = Volume of Sphere ⇒ π × R_cyl² × 21 = 4/3 × π × 7³

R_cyl² = (4 × 343) ÷ (3 × 21) = 196/9 ⇒ R_cyl = 14/3 cm

Since 7 units = 14/3, then 6 units (R_hem) = (14/3 ÷ 7) × 6 = 4 cm

Volume of Hemisphere = 2/3 × 22/7 × 4³ = 2816/21 ≈ 134.10 cm³

∴ The correct answer is 134.10 cm³.

Alternate Method

Given:

⇒ Height of cylinder (H) = 21 cm

⇒ Radius of sphere (R_s) = 7 cm

⇒ R_cyl = R_hem × (1 + 16 2/3%) = R_hem × (1 + 1/6) = 7/6 × R_hem

Formula Used:

⇒ Volume of Cylinder = πR²H

⇒ Volume of Sphere = 4/3 πR³

⇒ Volume of Hemisphere = 2/3 πR³

Calculations:

⇒ Volume of Cylinder = Volume of Sphere

⇒ π × R_cyl² × 21 = 4/3 × π × 7³

⇒ R_cyl² × 21 = 4/3 × 343

⇒ R_cyl² = (4 × 343) ÷ (3 × 21) = 1372 ÷ 63 = 196/9

⇒ R_cyl = √(196/9) = 14/3 cm

⇒ R_hem = 6/7 × R_cyl = 6/7 × 14/3 = 4 cm

⇒ Volume of Hemisphere = 2/3 × 22/7 × 4³

⇒ Volume of Hemisphere = (2 × 22 × 64) ÷ (3 × 7) = 2816 ÷ 21 ≈ 134.0952 cm³

∴ The correct answer is 134.10 cm³.

Additional Information

Volume of Three-Dimensional Shapes

The volume of a sphere is 4/3 πr³, while a hemisphere is exactly half of that, 2/3 πr³.

Surface Area of Hemisphere

Curved Surface Area (CSA) = 2πr² and Total Surface Area (TSA) = 3πr².

Percentage to Fraction Conversion

16 2/3% is a standard fraction equal to 1/6. Increasing a value by 16 2/3% is equivalent to multiplying by (1 + 1/6) = 7/6.

The correct answer is Aparna Satheesan.

Key Points

• The Abhinandan Saroja National Award was begun on the birthday of the legendary Guru Smt. Padma Bhushan Saroja Vaidyanathan for commending the heritage in the field of Indian Classical Dance.
• Aparna Satheesan Receiver of 2021 Abhinandan Saroja National Award by National Institute of Indian Classical Dance.
• Aparna Satheesan, is an internationally praised skilful dancer who instructed in various classical Indian dance forms as Bharatanatyam, Kuchipudi, Mohiniyattom, Kathakali, Ottam Thullal etc.

Additional Information

• Chandrashekhar Kambara is a poet ,five of his books have been rewarded by the Karnataka Sahitya Academy. His well-known play Jokumaraswamy has won the "Kamaladevi Chattopadhyaya Award" of Natya Sangh as the "Best Play of the Year" in India in the year 1975. Another famousplay Jaisidanayaka prevailed the Vardhamaana Prashasti as the "Best Book of the Year" – 1975 in Karnataka.
• Priyadarshan (born 30 January 1957) is an Indian film director, screenwriter and maker who efforts generally in Malayalam and Hindi films.
• Prabha Atre (born 13 September 1932) is an Indian classical caroler from the Kirana gharana.

The logic followed here is:

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

The correct answer is When the number of poor is estimated as the proportion of people below the poverty line.

Key Points

• The headcount ratio (HCR) is the population proportion that survives, or lives, lower than the poverty threshold.
• One of the unpleasant qualities of the headcount ratio is that it disregards the depth of poverty; if the poor become poorer, the headcount index does not change.
• For example, the poverty headcount ratio at the national poverty line in India was last described at 21.9% in 2011.

Additional Information

The Head Count Ratio is planned with the following method. 

HCL = Number of people living below the poverty line/Total population of the country.

The Head Count Ratio (HCR) is the percentage of a population that falls below the Poverty Line.

The  Head Count Ratio is explained as the proportion of individuals living below the Poverty Line when the number of poor is approximate.​​

Given: 

Diameter (D) of circle = 30 cm

Formula used:

Circumference of a circle = 2 × π × r

Concept used:

Radius (r) = D/2 = 30/2 = 15 cm

Calculations:

According to the question,

Circumference of a circle,

⇒ C = 2 × 3.14 × 15

⇒ C = 30 × 3.14 = 94.2 cm.

∴ The Circumference of the circle is 94.2 cm.

The correct answer is Little Guru.

Key Points

• Sanskrit learning assembles easily with the world's greatest gamified Sanskrit learning App.
• The app developed by Gamapp Sportswizz Tech and encouraged by The Indian Council for Cultural Relations (ICCR) has been named Little Guru.
• It teaches Sanskrit on a communal platform.
• It will help people to understand Sanskrit in a good manner based on competition, games, peer-to-peer communications, etc.
• It will also help a number of students and faculties related with Sanskrit Universities situated all over the world.

Additional Information

• The application is of considerable help to the Indian Diaspora wishing to stay attached to their roots.
• The ICCR has provided scholarships to an additional three hundred Chinese students. The motive of these scholarships is to promote between cultural, cognitive, and academic exchanges India and China.
• The app was established through the celebrations of the 71^st Foundation Day of ICCR​

Shortcut Trick

Total wage ratio = (Workers × Individual Wage Ratio)

⇒ Skilled : Semi-skilled : Unskilled = (12 × 9) : (14 × 5) : (10 × 4)

⇒ Total wage ratio = 108 : 70 : 40 = 54 : 35 : 20

⇒ 109 units = ₹13189 ⇒ 1 unit = ₹121

⇒ Unskilled workers share = 20 units × 121 = ₹2420

∴ The correct answer is ₹2420.

Alternate Method

Given:

Number of skilled workers = 12

Number of semi-skilled workers = 14

Number of unskilled workers = 10

Ratio of individual wages = 9 : 5 : 4

Total wages = ₹13189

Formula Used:

Total Wage = Number of Workers × Individual Wage

Total Wages = ₹13189 (109 units)

Skilled Semi-skilled Unskilled

54 units 35 units 20 units

1 unit = 13189 ÷ 109 = 121 Unskilled Wages (20 units) = 20 × 121 = ₹2420

Calculations:

⇒ Let the individual wages of skilled, semi-skilled, and unskilled workers be 9x, 5x, and 4x respectively.

⇒ Total wage of skilled workers = 12 × 9x = 108x

⇒ Total wage of semi-skilled workers = 14 × 5x = 70x

⇒ Total wage of unskilled workers = 10 × 4x = 40x

⇒ Total wages of all workers = 108x + 70x + 40x = 218x

⇒ According to the question, 218x = 13189

⇒ x = 13189 ÷ 218 = 60.5

⇒ Total money earned by 10 unskilled workers = 40x = 40 × 60.5 = 2420

∴ The correct answer is ₹2420.

Additional Information

Work and Wages Principle

Wages are always distributed in proportion to the work done. If individuals work for the same time period, the wages are divided in the ratio of their individual efficiencies.

Group Wages

Total wages of a category = Number of workers in that category × Wage per worker.

Compound Ratio of Wages

If the number of workers in different groups are in the ratio p : q : r and their individual wages are in the ratio a : b : c, then their total wages will be distributed in the ratio pa : qb : rc.

GIVEN:

n is a positive integer

n is divided by 7, Remainder is 3 

CONCEPT USED:

Dividend = Divisor × Quotient + Remainder 

CALCULATION:

Let k be any integer.

n = 7k + 3

By trial and error method we have.

Option 1,

n + 4 = 7k + 3 + 4

n + 4 = 7k + 7

when n + 4 is divided by 7, the remainder is 0

Option 2.

n + 3 = 7k + 3 + 3

n + 3 = 7k + 6

when n + 3 is divided by 7, the remainder is 6

Option 3

n + 5 = 7k + 3 + 5

n + 5 = 7k + 8

when n + 5 is divided by 7, the remainder is 8

Option 4

n + 2 = 7k + 3 + 2

n + 2 = 7k + 5

when n + 2 is divided by 7, the remainder is 5

Hence, when (n+ 4) is divided by 7, the remainder is 0.

Correct answer is Africa.

Key Points

• Atlas Mountains, chain of mountain ranges in northwestern Africa, running normally southwest to northeast to form the geologic spine of the countries of the Maghrib (The western region of the Arab world)—Morocco, Algeria, and Tunisia.
• The Atlas Mountain system takes the shape of an increased oblong, enclosing within its ranges an extensive complex of plains and plateaus.
• The periodic nature of the rains, which fall in torrents, determines the features of drainage in the Atlas.
• The Tell Atlas and the Saharan Atlas merge in the west into the long folds of the Middle Atlas and in the east connect jointly in the Tébessa and Medjerda mountains.

Additional Information

• Mount Elbrus is the highest mountain in Europe.
• Denali in Alaska is the highest mountain peak of North America.
• Mount Everest is a peak in the Himalaya mountain range.
• It is located **between Nepal and Tibet, an autonomous region of China.**​

The correct answer is One bit.

• Memory cells are usually organized in the form of an array, in which each cell is capable of storing one bit of information.

Key Points

• One bit indicates the validity of the page, that is, whether the page is actually loaded in the main memory.
• This bit allows the operating system to invalidate the page without actually removing it.
• Another bit indicates whether the page has been modified during its residency in the memory.
• As in cache memories, this information is needed to determine whether the page should be written back to the disk before it is removed from the main memory to make room for another page.

Additional Information

• The bit is the most basic unit of information in computing and digital communications.
• A byte is a unit of digital information that most commonly consists of eight bits.
• A nibble is four binary digits or half of an eight-bit byte.

Preparing the family tree using following symbols:

Hence, the correct answer is "Mother's father".

Prabhakar is the Mother's father of Vipul.

Note: In the given family chart

P is Prabhakar.

R is Rajat.

V is Vipul.

N is Neha.

Given that:-

No of days from 12^th August to 26^th September  = (31 -12) + 26 = 19 + 26 = 45 days. 

Since, it was Monday on 12^th August, every 7^th day from 12^th August will be a Monday.

Thus, no. of odd days = 45/7 = 3.

Now, 12^th August (Monday) + 3 odd days = 26^th September (Thursday).

26^th September will be Thursday.

Hence, "option 3" is the correct answer.

The correct answer is Razia Sultan.

• Razia Sultana was the first woman Sultanate of India and ruled the court of Delhi from the end of 1236 to 1240.

Key Points

• When Razia Sultan took over the throne on 10 November 1236, with the official name of Jalâlat-ud-Dîn Raziyâ, she made a conscious decision to give up her traditional Muslim woman attire, including the pardah, which invited the fury of conservative Muslims.
• The fifth Mamluk dynasty ruler, history deems Razia Sultan as one of the very few female rulers in the history of Islamic civilizations across the world.
• During her reign, she ordered coins be minted with her title as “Pillar of Women, Queen of the Times, Sultan Razia, daughter of Shamsuddin Iltumish.”
• Razia Sultan fought on the forefront and won battles seizing various territories.
• Her gender was never an excuse. She mastered administration, rubbing shoulders with the best Sultans Delhi had ever been ruled by.

Additional Information

• The Mamluk dynasty was founded in Northern India by Qutb ud-Din Aibak, a Turkic Mamluk slave general of the Ghurid Empire from Central Asia.
• The Mamluk dynasty ruled from 1206 to 1290; it was the first of five unrelated dynasties to rule as the Delhi Sultanate until 1526.
• The Delhi Sultanate was an Islamic empire based in Delhi that stretched over large parts of South Asia for 320 years.
• After the assassination, one of Ghori's slaves, the Turkic Qutb al-Din Aibak, assumed power, becoming the first Sultan of Delhi.

The correct answer is Steatite.

Key Points

• Standard Harappan seals
• The Indus Valley Civilization created several artefacts and works of literature.
• During the second half of the third millennium BCE, the Indus Valley art form emerged (i.e. from 2500 BC onwards).
• Archaeologists have found thousands of seals in the Harappan sites.
• Steatite, a soft stone, was used to create the majority of the seals.
• Some of them were additionally constructed from gold, terracotta, chert, ivory, faience, and agate.
• The standard Harappan seal had a 2X2 dimension and was square in shape.
• Every seal has a drawing of an animal and writing in pictographic character.
• Primarily, tigers, elephants, bulls, bison, goats, and other animals are represented.

Additional Information

• The majority of seals have writing on both sides.
• The writings have a Kharosthi aesthetic (right to left).
• The Pashupati Seal of the Harappan civilization from Mohenjo Daro is the most well-known seal.
• An elephant, a tiger, a rhino, and a buffalo are positioned to the right and left of the figure, which is seated cross-legged, in the centre of the seal, respectively.
• Various uses of the seal
• The seals are thought to have been used for commercial purposes.
• A few seals were also worn as amulets, possibly serving as a kind of identification.
• Some seals must have been used for educational purposes because they contain mathematical symbols.

The correct answer is Tansen.

Key Points

• Tansen had learned music from Haridas for eleven years.
• He became a great and famous singer.
• Tansen sang before Emperor Akbar.
• Akbar was so impressed that he asked Tansen to join his court in 1556.
• Tansen became the favourite of the Emperor. Akbar used to visit Tansen’s house to hear him practise music.
• Akbar asked Tansen to sing whenever he had the mood. He also gave Tansen many presents.
• Tansen was one of the nine jewels in Akbar's court.

Additional Information

• Tansen, also remembered as Miyan Tan Sen or Ramtanu Pande was a prominent figure in Hindustani classical music.
• Born in a Hindu brahmin family, he learnt and perfected his art in the northwest region of modern Madhya Pradesh.
• Tansen Samaroh or Tansen Sangeet Samaroh is celebrated every year in the month of December in Behat village of Gwalior district, Madhya Pradesh. It is a 4-day musical extravaganza. Artists and music lovers worldwide gather here to pay tribute to the Great Indian Musical Maestro Tansen.

The correct answer is Chennai.

• Jitendra Singh launched Samudrayaan, India's first manned ocean mission, at the National Institute of Ocean Technology in Chennai.

Key Points

• Union Minister of State Dr Jitendra Singh launched India's first manned ocean mission, Samudrayaan, at the National Institute of Ocean Technology (NIOT) in Chennai on October 29, 2021.
• With the commencement of the Unique Ocean Mission, India joined the elite group of countries that have specialist technology and vehicles to conduct subsea missions, including the United States, Russia, France, Japan, and China.
• Samudrayaan Mission will open up greater opportunities for growth in the areas of clean energy, drinking water, and the blue economy.
• The Samudrayaan mission is India's first manned ocean mission, with the goal of sending men deep into the ocean in a submersible vehicle for deep-ocean exploration and rare mineral mining.
• The 200-crore Samudrayaan Mission will send three people to a depth of 6000 metres in the sea in a manned submersible vehicle called MATSYA 6000 for deep underwater studies. Submarines have a maximum depth of roughly 200 metres.

Additional Information 

• The Unique Ocean Mission aims to have deep underwater manned vehicles for carrying out subsea activities.
• The deepwater manned submersible has been codenamed as the ‘MATSYA 6000’.
• It is developed by the Chennai-based National Institute of Ocean Technology (NIOT).
• The technology will help to conduct deep-ocean exploration of the non-living resources located at a depth of about 1000 and 5500 meters, such as polymetallic manganese nodules, gas hydrates, hydro-thermal sulphides and cobalt crusts.

Given:

13/6 × {45/26 + 15/13 × (5/7 ÷ 25/14)}

Concept Used:

Calculations:

13/6 × {$1\frac{19}{26}$ + 15/13 × (5/7 ÷ 25/14)}

13/6 × {$1\frac{19}{26}$ + 15/13 × (5/7 ×  14/25)}

⇒ 13/6 × {45/26 + 15/13 × 2/5}

⇒ 13/6 × {45/26 + 30/65}

⇒ 13/6 × {(225 + 60)/(13 × 5 × 2)}      ----(Taking LCM of 26 and 65 = 13 × 5 × 2)

⇒ 13/6 × 285/130

⇒ 19/4

∴ The simplified value of the given equation is 19 / 4 or $4\frac{3}{4}$.

Given:

⇒ $\frac{{32}}{{46}} × \frac{{94}}{{576}} × \frac{{184}}{{282}}$

CONCEPT USED:

Product of  fractions.

Calculations:

⇒ (32/46) x (94/576) x (184/282)

⇒ (32/576) x (94/282) x (184/46)

⇒ (1/18) × (1/3) × (4/1)

⇒ (4/18) × (1/3) 

⇒ (2/9)  × (1/3) 

⇒ 2/27

∴ The value of $\frac{{32}}{{46}} × \frac{{94}}{{576}} × \frac{{184}}{{282}}$ will be (2/27).

Let's check each option:

1. ÷, +,-, ×, = 

Given equation: 19 * 5 * 4 * 2 * 4 * 13.

After putting the signs, we get: 19 ÷ 5 + 4 - 2 × 4 = 13

L.H.S = 19 ÷ 5 + 4 - 2 × 4.

= 3.8 + 4 - 2 × 4.

= 3.8 + 4 - 8.

= 4.2 - 8

= - 3.8  ≠ R.H.S.

2. +, ×, -, =, ÷

Given equation: 19 * 5 * 4 * 2 * 4 * 13.

After putting the signs, we get: 19 + 5 × 4 - 2 = 4 ÷ 13

L.H.S = 19 + 5 × 4 - 2 .

= 19 + 20 - 2

= 39 - 2

= 37 ≠ R.H.S.

3. -, ×, ÷, +, =

Given equation: 19 * 5 * 4 * 2 * 4 * 13.

After putting the signs, we get: 19 - 5 × 4 ÷  2 + 4 = 13.

L.H.S = 19 - 5 × 2 + 4

= 19 - 10 + 4

= 19 + 4 - 10

= 23 - 10

= 13 = R.H.S.

Hence, the correct answer is option 3.

Given: Few people are sitting in a row facing north.

1. R is sitting 3^rd to the left of U. 2. Only two persons are sitting between R and T.

 

3. Only one person sits to the right of U. 

4. Only one person sits between Q and U and  only V sits to the left of T

Hence, option (2): 9  people are sitting in the row.

The correct answer is Pupa.

• The third stage in the lifecycle of a butterfly is called Pupa.

Key Points

• During the third stage, the caterpillar forms a chrysalis (or pupa) which is usually brown or green so it is camouflaged. This is the transformation stage, when it starts to grow wings.
• A pupa is the life stage of some insects undergoing transformation between immature and mature stages. Insects that go through a pupal stage are holometabolous: they go through four distinct stages in their life cycle, the stages thereof being egg, larva, pupa, and imago
• A pupa forms following the completion of larval development and contains the metamorphosing adult.
• During the stage, the caterpillar forms a protective chrysalis that protects it from the outside world while allowing it to undergo important changes. 

The caterpillar will stay in this stage for about a week.

Additional Information

• The life cycle of a butterfly is truly amazing. Butterflies have four life stages, the egg, the larva (caterpillar), the pupa (chrysalis), and the adult butterfly.
• Each of the four stages is very unique to individual species of butterflies which is part of what makes watching and raising butterflies so much fun.
• The adult butterfly first lays her eggs safely on a leaf. Depending on the type of butterfly, she may lay just one egg, dozens of eggs, or up to hundreds of eggs at once.
• The egg begins to hatch and a caterpillar is revealed. This caterpillar is known as the larva stage. The caterpillar crawls out of the egg and immediately begins to start eating.
• After about a week later, the caterpillar is ready to emerge from its chrysalis and enter the fourth stage of the life cycle.

Given, 

1. Martin starts walking from his house in east direction.  2. He walks 10m takes a left and walks 12m. 3. Next he takes a right turn and walks 3m. 

4. .Then he turns left and walks 1m. 5.  He again turns left and walks 5m. 

 

 

Therefore, he is moving towards "West".

Hence, the correct answer is "West".

Given: Anshul, Manohar, Pardhu, Vikram, Vasu and Prerna are standing in a circle, facing the centre.

1. Prerna is to the immediate right of Vikram.

  

2: Manohar is an immediate neighbour of both Vikram and Pardhu.

3: Anshul is an immediate neighbour of both Vasu and Pardhu.

From the figure it can be clearly seen that immediate left of Anshul is Vashu. 

Hence, the correct answer is "Vashu".

The correct answer is Lord Lytton.

Key Points

• The vernacular Press Act proposed by Lord Lytton was intended to prevent the vernacular press from expressing criticism of British policies.
• He also passed the Arms Act 1878 which prohibited Indians from carrying weapons of any kind without licenses. Englishmen were excluded from this act.
• Vernacular Press Act of 1878: disallowing Indians from possessing arms and allowing the government to confiscate newspaper printing assets if anything objectionable was printed against the government.

Additional Information

• Withdrawal of all ordinances issued by the Government of India imposing curbs on the activities of the Indian National Congress.
• Withdrawal of all prosecutions relating to several types of political offences (Rowlatt Act) except those involving violence. Release of prisoners arrested for participating in the Salt March.
• Lord Chelmsford, the Viceroy, produced their scheme of constitutional reforms, known as the Montagu-Chelmsford (or Mont-Ford) Reforms, which led to the enactment of the Government of India Act 1919.
• The Mountbatten plan led to the royal assent for the approval of the Indian Independence Act 1947. Lord Mountbatten, the last Viceroy of India, came up with a plan under which he proposed that the provinces be declared independent successor states.

GIVEN:

$( cot\theta - 1)\over( 1- tan\theta)$ ÷ ( $\frac{sin\theta}{(1 +cos\theta)} + \frac{ (1 + cos\theta)}{sin\theta}$ )

FORMULA USED:

 $cot\theta = cos\theta /sin\theta.$ 

$tan\theta = sin\theta/cos\theta.$

$sin^2\theta + cos^2 \theta = 1.$

$( a + b)^2 = a^2 + b^2 +2ab.$

CALCULATION:

$cos\theta/sin\theta -1\over1- sin\theta/cos\theta$ ÷ $(sin^2 \theta +( 1+ cos\theta)^2)\over( 1+cos\theta) sin\theta$

⇒$( cos\theta - sin\theta)\over sin\theta$ × $cos\theta \over ( cos\theta - sin\theta)$ ÷ $( sin^2 \theta + 1 + cos^2\theta + 2 cos\theta) \over sin\theta( 1+ cos\theta)$ 

⇒  $cos\theta \over sin\theta$ ÷  $( 2+ 2 cos\theta )\over sin\theta ( 1+ cos\theta)$ 

⇒ $cos\theta \over sin\theta$ ÷ $2 ( 1+ cos\theta)\over sin\theta ( 1+ cos\theta)$ 

⇒ $cos\theta \over sin\theta$ × $sin\theta \over 2$  = $cos\theta \over2.$ 

Hence, the value is $cos\theta\over2.$ .

The correct answer is **19.7%.**​

Key Points

• The birth rate for India in 2020 was 17.592 births per 1000 people, a 1.2% decline from 2019. The birth rate for India in 2019 was 17.806 births per 1000 people, a 1.19% decline from 2018.
• There are 24.02 million births in India in 2021. That is 65,797 per day, which is ranked 1^st.
• The crude birth rate is 17.23 per 1000 people.

Additional Information

• The Sample Registration System (SRS) is a large-scale demographic survey for providing reliable annual estimates of Infant mortality rate, birth rate, death rate and other fertility & mortality indicators at the national and sub-national levels.
• The SRS in India is based on a dual record system.

Given:

$\frac{1}{{11.91}} = 0.083963$

CONCEPT USED:

Shifting of decimals = divide the number by 10,100,1000....... when one has to shift decimal to left side and multiply by 10,100,1000.......when shifting of decimal has to be done on right side.

Calculations:

      1             

    0.0001191

⇒             1           

        000011.91

         100000

⇒        1      x 10⁵

        11.91

According to the question, 

⇒ 0.083963 x 105. 

∴ The value of        1          will be 0.083963 x 105.   

                          0.0001191

The pattern observed in the following options:

LOGIC: Alphabets are increased to +4 positional values and the digit is multiplied by 5. 

HP7 : LT35 

LR9 : PU55

PJ3 : TN15

DL5 : HP25

  

​On observing the options we find out the option which does not follow the pattern which is option 2 (LR9 : PU55.)

Hence, the correct option is LR9 : PU55.

GIVEN:

Prime numbers between 20 and 62

CONCEPT USED:

Median =  1/2 [(n/2)th term + (n + 2)/2)th term,] when  n is an even number

The prime number are those numbers that have only two factors i.e.1 and themselves.

CALCULATION:

23, 29, 31, 37, 41, 43, 47, 53, 59, 61

Total numbers, n = 10 (even number)

Median = (1/2){(n/2)th term + (n + 2)/2)th term}

⇒ (n/2)th term = 5^th term = 41

⇒ (n + 2)/2)th term = 6^th term = 43

⇒ 1/2[41 + 43] = 84/2 = 42.

The median of all prime numbers between 20 and 62 is 42.

The correct answer is The coverage of the coronavirus pandemic.

Key Points

• The Pulitzer Prize is awarded within the United States for excellence in journalism in various categories. It was First awarded in 1917.
• The New York Times won the 'Pulitzer Prize, 2021' in the prestigious public service category for its detailed, data-filled reporting on the pandemic.

Additional Information

• The Pulitzer prize is an award for achievement in newspapers, magazines, online journalism, literature, and musical composition within the United States.
• The Pulitzer prize administration award prize across 22 categories in Journalism, and art each year.
• Columbia University administers it**.**

Shortcut Trick

The required greatest number is the HCF of the numbers obtained after subtracting the respective remainders.

Required Number = HCF of (2307 − 7) and (3105 − 5)

Required Number = HCF of 2300 and 3100

Both 2300 and 3100 are directly divisible by 100, and 23 and 31 are co-prime.

∴ The correct answer is 100.

Alternate Method

Given:

Dividend numbers = 2307 and 3105

Respective remainders = 7 and 5

Formula Used:

The greatest number that divides x and y leaving remainders a and b respectively is given by the Highest Common Factor (HCF) of (x − a) and (y − b).

Calculations:

⇒ First resulting number = 2307 − 7 = 2300

⇒ Second resulting number = 3105 − 5 = 3100

⇒ Now, find the prime factorization of 2300 and 3100:

⇒ 2300 = 23 × 100 = 23 × 2² × 5²

⇒ 3100 = 31 × 100 = 31 × 2² × 5²

⇒ The common factors between the two prime factorizations are 2² and 5².

⇒ HCF = 2² × 5²

⇒ HCF = 4 × 25 = 100

∴ The correct answer is 100.

Additional Information

Greatest Number Dividing with Specific Remainders

The greatest number that will divide x, y, and z leaving individual remainders a, b, and c respectively is given by finding the HCF of (x − a), (y − b), and (z − c).

Greatest Number Dividing with Same Remainder

The greatest number that will divide x, y, and z leaving the exact same remainder 'r' in each case is given by finding the HCF of (x − r), (y − r), and (z − r).

Greatest Number Dividing with Unknown Same Remainder

When x, y, and z are divided by the greatest number leaving the same but unknown remainder, the required number is the HCF of the absolute differences: |x − y|, |y − z|, and |z − x|.

Product Rule of LCM and HCF

For any two numbers 'A' and 'B', the product of the given numbers is strictly equal to the product of their LCM and HCF. Rule: A × B = LCM(A, B) × HCF(A, B).

Given: 

10 - 18 ÷ 3 × 3 + 27 ÷ 32

Concept used:

Calculations:

10 - 18 ÷ 3 × 3 + 27 ÷ 32

⇒ 10 - 6 × 3 + 27 ÷ 9

⇒ 10 - 18 + 3

⇒ 13 - 18 = - 5

∴ The simplified value of the given equation is - 5.

GIVEN: 

$\frac{1}{{1 + \sqrt 2 }} + \frac{1}{{\sqrt 2 + \sqrt 3 }} + \frac{1}{{\sqrt 3 + \sqrt 4 }} + \cdot \cdot \cdot + \frac{1}{{\sqrt {15} + \sqrt {16} }}$

Formula used:

a² - b² = (a + b)(a - b)

CONCEPT USED:

nth term= $1/(\sqrt{n} +\sqrt{n+1})$ 

rationalization = process of converting irrational number into rational number.

CALCULATION:

The equation can be re-written as 

$\frac{1}{{1 + \sqrt 2 }} + \frac{1}{{\sqrt 2 + \sqrt 3 }} + \frac{1}{{\sqrt 3 + \sqrt 4 }} + \cdot \cdot \cdot + \frac{1}{{\sqrt {16} + \sqrt {15} }}$

On rationalization ,we get

$\frac{1}{\sqrt2 +1}$× $\frac{\sqrt2 -1}{\sqrt2 -1}$ + $\frac{1}{\sqrt3+\sqrt2}$×$\frac{\sqrt3 -\sqrt2}{\sqrt3 -\sqrt2}$ +..................+$\frac{1}{\sqrt16 +\sqrt15}$×$\frac{\sqrt16 -\sqrt15}{\sqrt16 -\sqrt15}$ 

⇒ $\sqrt2 -1$ + $\sqrt3 -\sqrt2$  +............+$\sqrt16 -\sqrt15$ 

⇒ -1 +$\sqrt16$ = (-1 +4) = 3.

⇒The positive value is 3.

The correct answer is China.

Key Points

• Lake Pangong Tso is located in Laddakh union territory and is an endorheic lake in the Himalayas situated at a height of about 4,350m.
• It is geographically situated in a disputed territory claimed both by India and China.
• The lake is about 5 km wide and about 134km long with about 60% of the length extending into Tibet.

Additional Information

• The Bay of Bengal is the northeastern part of the Indian Ocean, bounded on the west and northwest by India, on the north by Bangladesh, and on the east by Myanmar and the Andaman and Nicobar Islands of India.
• There are 56 rivers that flow down from the Himalayan kingdom of Bhutan to the eastern state of Assam in India to meet the Brahmaputra River.
• The Sharda River, also called Kali river and Mahakali River, originates at Kalapani in the Himalayas at an elevation of 3,600 m in the Pithoragarh district in Uttarakhand, India.

The correct answer is The receipts of the government which creates liability or reduce financial assets.

Key Points

• Capital receipts are the income received by the company which is non-recurring in nature. They are part of the financing and investing activities rather than operating activities.
• They also refer to incoming cash flows. Capital receipts can be both non-debt and debt receipts.
• Loans from the general public, foreign governments and the Reserve Bank of India (RBI) form a crucial part of capital receipts.
• Contributions into the business by the proprietor, loans taken from banks and amount received on issue of share capital are capital receipts.

Additional Information

• Revenue receipts are those receipts that do not lead to a claim on the government.
• They are hence termed non-redeemable.
• They are classified into tax and non-tax revenues.
• Capital receipts are receipts that create liabilities or reduce financial assets.
• They also refer to incoming cash flows.
• Capital receipts can be both non-debt and debt receipts.

The correct answer is Motilal Chimanlal Setalvad.

Key Points

• M C Setalvad was the first Attorney General of India(1950-63).
• He appeared for the government in a host of important and, at times, controversial cases.
• He was also involved with the Radcliffe Tribunal for demarcation of the Indo-Pak border and several UN proceedings on Kashmir, assignments that required the deft touch of a legal eagle and the principles of a man of conviction.

Additional Information

Attorney General for India

• The Constitution (Article 76) has provided for the office of the Attorney General for India.
• He is the highest law officer in the country.
• The Attorney General (AG) is appointed by the president.
• He must be a person who is qualified to be appointed a judge of the Supreme Court.
• The term of office of the AG is not fixed by the Constitution.
• Current Attorney General of India: R Venkataramani

Step 1: Point A is 18 m to the east of Point B.

Step 2: Point B is 22 m to the north of Point C.

Step 3: Point D is 11 m to the west of Point C.

Step 4: Point E is 11 m to the south of point D.

Step 5: Point X is 29 m to the east of Point E.

Now the distance between Point A to Point X is same as sum of distance between Point D to Point E & Point B to Point C.

DE = 11 m and  BC = 22 m

DE + BC => 11 m + 22 m 

Therefore the distance between A and X is 33 m.

Hence, the correct answer is "33m".

Given:

43240 - 30608 = p × 160

Calculation:

43240 - 30608 = p × 160

⇒ 12632 = p x 160

⇒ p = 12632/160

⇒ p = 78.95

∴ The value of 'p' is 78.95.

Given: eight people, including the Principal, are sitting in a square formation facing towards the centre.

Step 1: Bahl is sitting diagonally opposite Nikon.

 

Step 2: Nikon is sitting to the immediate right of Eva.

 

Step 3: Pearson is an immediate neighbour of Eva.

 

Step 4: Pearson is diagonally opposite Charlie.

 

Step 5: Charlie is seated to the immediate left of the Principal.

 

Step 6:Philip is not sitting to the immediate right of Bahl.

 

Step 7:Only three people sit between Philip and Jakson.

From the figure it can be clearly seen that second to the left of Eva is Jackson. 

Hence, the correct answer is "Jackson".

The correct answer is Decentralised Procurement Scheme.

Key Points

• Under Decentralized Procurement Scheme (DCP), food grains is made up and give out by the State Governments themselves.
• Under this scheme, the nominated DCP States procure, store and issue foodgrains under the Targeted Public Distribution System (TPDS) and other welfare schemes of the Central Government of India.

Additional Information

• ​Minimum support prize are the prices at which the government obtain certain crops from farmers to assure them opposed to any sharp fall in prices.
• Under a centralised procurement scheme, the appointed States procure, store and also issue foodgrains as per allotments indicated by the Central Government under TPDS.
• The prize stabilisation fund is aimed to increase or decrease the low or high prices of such sort out materials by distributing or procuring the material to stabilize the price in a range

The correct answer is Brazil.

Key Points

• Brazil is the biggest sugarcane manufacturing country in the world followed by India, China and Thailand. Brazil makes around 768 million tonnes of sugarcane annually.
• Sugarcane was an old crop of the Austronesian and Papuan people.
• It was found in Polynesia, Island Melanesia, and Madagascar in prehistoric times via Austronesian sailors.
• Sugarcanes belong to the grass family, Poaceae, an economically main flowering plant family that covers maize, wheat, rice, sorghum, and many forage crops.

Additional Information

• Japan's important agricultural outcome is rice, and most rice eaten in Japan is home-grown.
• China produces several agricultural goods, as well as corn, rice, wheat, soy, cotton, peanuts, and apples.
• India is the world's second-largest maker of rice, wheat, sugarcane, cotton, groundnuts and fruits & vegetables.

Given:

Time taken to fill a tank by Pipe A = 42 min

Time taken to fill a tank by Pipe B = 56 min

Time taken to empty a full tank by Pipe C = 84 min

Formula used:

Work =  Efficiency × Time 

Calculation:

LCM of 42, 56, and 84 is 168

⇒ Efficiency of A = 168/42 = 4 units/min

⇒ Efficiency of B = 168/56 = 3 units/min

⇒ Efficiency of C = 168/84 = 2 units/min

⇒ Efficiency of B and A together = 4 + 3 = 7 units/min

⇒ A, B and C opened for 8 min = (7 - 2) × 8 = 40 units

Now, Pipes A and B will fill the remaining empty tank = 168 - 40 = 128

⇒ Time = 128/7 = ​​$18\frac{2}{7}$ mins

∴ Time taken by Pipes A and B to fill the remaining tank will be 128 / 7 mins or $18\frac{2}{7}$ mins.

The correct answer is annually.

Key Points

• The Thrissur Pooram is an annual temple festival clasp in Thrissur, Kerala, India.
• It is a clasp at the Vadakkunnathan (Shiva) Temple in Thrissur annually on Pooram day.
• The day during the moon rises with the Pooram star in the Malayalam Calendar month of Medam.
• The carnival was begun by Raja Rama Varma, Maharaja of Cochin Sakthan Thampuran in 1798.

Additional Information

• However the presiding deity at Thiruvambadi is Lord Krishna, it is the second in the significant deity of Goddess Bhagavati that participates in the pooram.
• There are as well eight other temples participate, but some exclusive rights as part of pooram are vested with Paramekkavu and Thiruvambadi temples.

Option 1 is the correct answer.

Statement:

A customer can avail banking services at his/her doorstep.

Expectations:

I. This will create problems for the bank. - 

II. Customers would be very happy with the service.

⇒ II is implicit. The statement implies that one will be happy by availing banking services at his/her doorstep. Clearly, nothing is mentioned about its consequences faced by bank. So, I is not implicit

Hence, only expectation II is implicit.

Explanation:

1. A ranked higher then F.
2. F ranked lower then E. 3.  A ranked lower than E.

Hence,

E > A > F

4. F ranked higher than B and C.

E > A > F > B/C

5. D ranked higher than C and E

D > E > A > F > B/C

D ranked the highest.

Hence, D is the correct answer.

Explanation:

12, 4, 37, 25 = 4

• 12 × 4 = 48 and 37 - 25 = 12
• 48 ÷ 12 = 4

so, 12, 4, 37, 25 = 4

In the same way

2, 36, 87, 51 = 2

• 2 × 36 = 72 and 87 - 51 = 36
• 72 ÷ 36 = 2

Similarly,

• 18 × 3 = 54 and 58 - 49 = 9
• 54 ÷ 9 = 6

18, 3, 58, 49 = 6

Hence, 6 is the correct answer.

Persons facing North : J, K, L, M, N and O

1) Only three persons are sitting to the left of M and only four persons are sitting to the right of L.

2) N is sitting third to the right of J.

3. O is not sitting at one of the extreme ends.

Hence, K is sitting at the left extreme end.

Given:

$\frac{{(34.2 × 6.84) ÷ (102.6 × 0.00171)}}{{(12.5 × 0.8) ÷ 0.03}}$

Concept used:

Calculation:

(34.2 × 6.84)/(102.6 × 0.00171) ÷ (12.5 × 0.8)/0.03

⇒ (233.928)/(0.175) × 0.03 ÷ (10) 

⇒ (1336.73) × 0.03 ÷ (10) 

⇒ 40.1/10 = 4.01 ~ 4.

∴ The value of the given equation is 4.01 ~ 4.

The correct answer is China.

Key Points

• India beat China, 2-0 to win the bronze medal at the 2022 Women’s Hockey Asia Cup tournament.
• The 2022 Women’s Hockey Asia Cup was the 10^th volume of the quadrennial Women’s Hockey Asia Cup.
• The tournament was clasp from January 21 to 28, 2022 at the Sultan Qaboos Sports Complex in Muscat, Oman.
• Japan beat South Korea 4-2 in the final to win their third prize at the Women’s Hockey Asia Cup tournament.

Additional Information

• ​ Asia Cup Hockey 2022: India wins a Bronze medal, beats Japan 1-0.
• Hockey, men's Asia Cup 2022: Korea beat Malaysia for the record-expending 5^th prize, and India win bronze.

Option 2 is the correct answer.

GIVEN INFORMATION:

• Anirudh was born on 12^th March 1993.
• He is a marine engineer with 61% marks.
• He has also done an internship for a period of 14 months with a renowned shipping company.
• He has been working as a supervisor in a company for the past 2 years.
• He has secured 80% marks in the common entrance test.​

 

​​DETAILED SOLUTION:

There are four requirements for selecting candidates.

A. Should be a marine engineering graduate with a minimum of 65% marks. 

⇒ Anirudh has NOT fulfilled this criteria as he has scored 61% marks whereas the requirement was 65%.

B. Should have done an internship of at least 1 year with some shipping company.

⇒ He has fulfilled this criteria.

C. Should not be less than 21 years of age and more than 29 years of age as on 1^st July 2020.

⇒ He was born on 12^th March 1993. So his age on 1^st  July 2020 would be 27 years, 3 months, 3 weeks and 5 days. He has fulfilled this criteria.

D. Should have secured a minimum of 75% marks in the common entrance test.

⇒ He has fulfilled this criteria.

Therefore, he should be rejected as he has not fulfilled the criteria of being a marine engineer with a minimum 65% marks..

The correct answer is Director General of the Indian Coast Guard.

Key Points

• The New Delhi exemption on Friday assigns Virender Singh Pathania as the new Director-General of the Indian Coast Guard. Currently, he is working as Additional Director General, Headquarters (New Delhi).
• The Indian Coast Guard (ICG) is the maritime law enforcement and search and rescue agency of India with authority over its territorial waters carry its contiguous zone and exclusive economic zone.
• The Coast Guard Headquarters (CGHQ) is situated at New Delhi.
• Women are elected for the coast guard jobs as officers in general duty only.

Additional Information

• Air Marshal Sanjeev Kapoor has supposed the assignment of Director General (Inspection and Safety) of Indian Air Force at Air HQ New Delhi.
• Air Chief Marshal VR Chaudhari PVSM AVSM VM ADC was ordered into the fighter stream of the Indian Air Force on 29 Dec 1982.
• Air Officer In Charge management or AOA, is a staff role in some air forces, at various organisational levels.

The correct answer is MS-Paint.

Key Points

• ​MS-Paint is not a component of MS Office 365.
• The main components of MS Office are given below:
• Microsoft Teams,
• Word, Excel.
• Powerpoint.
• Outlook.
• One note.
• One drive.

Additional Information

• Microsoft word is a word processor software developed by Microsoft in 1983.
• OneDrive is the Microsoft cloud service that connects you to all your files. It lets you stock and save your files, share them with others, and get to them from any place on all your devices.
• Microsoft Access is a database management system (DBMS) used to store and manage data.

GIVEN:

1$\frac{1}{4}$ × ( 5$\frac{3}{4}$ ÷ 2/7 of k ) ÷ 2$\frac{7}{8}$ - 3$\frac{3}{4}$ = (17 - 4) ÷ 2 of 2.

FORMULA USED :

CALCULATION**:**                                       

5/4 × ($\frac{23/4}{2K/7}$) ÷ 23/8 - 15/4 = 13/4 

⇒ $\frac{15}{4}$ × ($\frac{23}{4}$ × $\frac{7}{2k}$) ÷ $\frac{23}{8}$ - $\frac{15}{4}$ = $\frac{13}{4}$

⇒ $\frac{5}{4}$ × $\frac{161}{8k}$ × $\frac{8}{23}$-$\frac{15}{4}$ =$\frac{13}{4}$ 

⇒ $\frac{35}{4k}$ = $\frac{15}{4} +\frac{13}{4}$ 

⇒ $\frac{35}{4k}$ = $\frac{28}{4}$ 

⇒ k = $\frac{35}{28}$ =$\frac{5}{4}$ .

Now, putting the value of k in (k + 1)/(k - 1)

⇒ $(\frac{5}{4} +1)$ /$(\frac{5}{4} -1)$ = $\frac{9}{4}$ /$\frac{1}{4}$ = $\frac{9}{4}$ × 4 = 9.

The value of (k + 1)/(k - 1) = 9.