RRB NTPC Tier I Official Paper (Held On: 28 Apr 2016 Shift 3) (Previous Year Paper)

Given equation: 512 - 8 + 5 ÷ 73 × 92?

After replacing the symbols by their meaning, we get:

512 ÷ 8 × 5 - 73 + 92

= 64 × 5 – 73 + 92

= 320 – 73 + 92

= 412 – 73

= 339

Hence, ‘339’ is the correct answer.

Given :

Inlet pipe takes time to fill the tank = 15 minutes 

Outlet pipe takes to empty the tank = 30 minutes 

Formula Used: 

Work = Time × Efficiency 

Calculation: 

LCM of (15, 30) = 30 

Let be total work is 30 

Efficiency of Inlet pipe,

⇒ 30/15 = 2 

Efficiency of outlet pipe,

⇒ 30/30 = -1   (-ve indicate leakage)

Work done by both pipe are opened,

⇒ 30/(2 - 1) = 30 minutes 

∴ Both pipe together can fill the tank in 30 minutes

The correct answer is B.

• Mount Kalam was the name given to the peak conquered by Indian climbers in the Spiti Valley of Himachal Pradesh in 2015.
• Arjun Vajpai and Bhupesh Kumar created history after scaling an unexplored peak 6,180 meters high in Himachal's Spiti valley. They named it Mount Kalam in memory of the late President of India APJ Abdul Kalam.
• They are the first to leave a mark in the six thousand peaks that overlook the Spiti Valley, Himachal.

Key Points

• The mountain that they have scaled is 6,180 meters tall. The peak which is at an altitude of 19,000 feet gives a breathtaking view of the Himalayan landscape.
• The main idea behind climbing an uncharted peak was to inspire the youngsters in India to take up mountaineering and encourage them to follow their dreams.
• Arjun Vajpai hailing from Noida climbed Mount Everest in May 2010.

Additional Information

• Top Indian Mountaineers:
• Mountaineer Krushnaa Patil.
• Mountaineer Malavath Purna.
• Mountaineer Asim Mukhopadhyay.
• Mountaineer Mohan Singh Kohli.
• Mountaineer Narendra Dhar Jayal.
• Mountaineer Mandip Singh Soin.
• Mountaineer Gurdial Singh.
• Mountaineer Narendra Kumar.

Given 

Rahul invest certain amount for is 3 years 

Shyam invest same amount for is 12 years 

Formula Used 

Simple Interest = (Principal × time × Rate)/100

Calculation 

According to question,

⇒ Principal and rate is same 

Simple interest depend on time period, 

Ratio of time = Ratio of Simple interest 

Ratio of time (Rahul : Shyam)

⇒ 3 : 12 = 1 : 4 

Ratio of Simple interest (Rahul : Shyam)

⇒ 1 : 4 

∴ The Ratio of Simple interest  for Rahul : Shyam is 1 : 4

The correct answer is D.

• The Indus river does not flow in Afghanistan.
• The Helmand River is the longest river in Afghanistan and the primary watershed for the endorheic Sistan Basin.
• Naghlu dam is connected to the national grid of Afghanistan and is currently the largest power plant in the country.
• Naghlu dam provides electricity to about 100,000 households in the Kabul region.

Key Points

• The Indus is a transboundary river of Asia and a trans-Himalayan river of South and East Asia.
• The 3,180 km river length, and rises in Western Tibet, flows northwest through the Ladakh and Gilgit-Baltistan regions.
• Indus river tributaries are Sutlej River, Jhelum River, Chenab River, Ravi River, etc.
• The Indus river sources Tibetan Plateau, Senge Zangbu, Gar River and drains at the Arabian Sea, Rann of Kutch, Nalsarovar bird sanctuary.

Additional Information

Given: 

21, 23, 43, 65, 76, 23, 98, 34, 62, 89

Formula Used: 

Mean = (sum of observation/No. of observation) 

Calculation: 

Mean = (21 + 23 + 43 + 65 + 76 + 23 + 98 + 34 + 62 + 89)/10 = 53.4 

∴ The mean of above data is 53.4

The least possible Venn diagram is:        

Conclusions:

A. All buses are cats → False (As all cats are buses, all buses being cats is just a possibility and not definite. Thus, it is false)

B. Some buses are cats → True (As all cats are buses, some buses are cats. Thus, it is true)

C. No bus is pen → False (Those cats which are pens are definitely bus as all cats are buses. Thus, it is false)

D. All buses are pens → False (As, Some pens are cats and All cats are buses → Some buses are pen)

Hence, 'Some buses are cats' is the correct answer.

The correct answer is B.

• Oxygen atoms have 6 valence electrons.
• Oxygen has six valence electrons, two in the 2s subshell and four in the 2p subshell.
• Oxygen (O) is a nonmetallic chemical element of Group 16 (VIa, or the oxygen group) of the periodic table.
• Oxygen is a colourless, odourless, tasteless gas essential to living organisms, being taken up by animals, which convert it to carbon dioxide plants, in turn, utilize carbon dioxide as a source of carbon and return the oxygen to the atmosphere.

Key Points

• Oxygen was discovered about 1772 by a Swedish chemist, Carl Wilhelm Scheele, who obtained it by heating potassium nitrate, mercuric oxide, and many other substances.
• At 46 per cent of the mass, oxygen is the most plentiful element in Earth’s crust.
• The proportion of oxygen by volume in the atmosphere is 21 per cent and by weight in seawater is 89 per cent.

Additional Information

The correct answer is Recombination.

• Recombination is the process of creating a better-adapted environment for organisms to live and grow more.
• DNA recombination involves the exchange of genetic material either between multiple chromosomes or between different regions of the same chromosome.
• This process is generally mediated by homology that is, homologous regions of chromosomes line up in preparation for exchange, and some degree of sequence identity is required.

Key Points

• Recombination is a process by which pieces of DNA are broken and recombined to produce new combinations of alleles.
• This recombination process creates genetic diversity at the level of genes that reflects differences in the DNA sequences of different organisms.
• In eukaryotic cells, which are cells with a nucleus and organelles, recombination typically occurs during meiosis. Meiosis is a form of cell division that produces gametes, or egg and sperm cells.

Additional Information

 

Given: 

Speed of train = 126 km/hr

Speed of car = 72 km/hr 

Formula Used: 

Distance = speed × time 

Calculation: 

Length of train,

⇒ (speed of train - Speed of car) × 5/18 × time 

⇒ Length of train = 54 × 5/18 × 40 = 600 meters 

∴ The length of train is 600 mtrs.

The correct answer is B.

• In the Liver, urea is produced.
• Urea is produced in the liver and is a metabolite (breakdown product) of amino acids.
• Ammonium ions are formed in the breakdown of amino acids. Some are used in the biosynthesis of nitrogen compounds. Excess ammonium ions are converted to urea.

Key Points

• The liver is an organ only found in vertebrates which detoxifies various metabolites, synthesizes proteins, and produces biochemicals necessary for digestion and growth.
• In humans, it is located in the right upper quadrant of the abdomen, below the diaphragm.

 

Additional Information

The correct answer is B.

• Bhiwadi is set to house the second airport in the NCR of Delhi, following the civil aviation ministry's approval of the project.
• Bhiwadi is a town in Rajasthan near New Delhi, is the spot for the country’s first cargo airport, and makes Jewar in Greater Noida the second passenger airport in the National Capital Region.

Key Points

• The aspirational project is also believed to have a lateral effect on nearby real estate markets especially Bhiwadi.
• The project will boost economic activities in the region, generating enormous employment opportunities.
• Bhiwadi, which is often termed as the gateway to the royal state of Rajasthan has a bright future.
• The completion of NPR, SPR, CPR will provide smoother and easier connectivity to Bhiwadi. The shifting of the Kherki Daula toll plaza will also provide a traffic-free destination to Bhiwadi.

Additional Information

• Top Airports in India are:
• Indira Gandhi International Airport New Delhi.
• Chhatrapati Shivaji International Airport, Mumbai.
• Rajiv Gandhi International Airport, Hyderabad.
• Kempegowda International Airport, Bengaluru.

Given:

expression

(Cot1º Cot2º Cot3º Cot4º Cot5º . . . . Cot90º)

Calculation:

Given expression is series of multiplication of  Cot1º to  Cot90º.

We know that  Cot90º = 0 

Cot1º Cot2º Cot3º Cot4º Cot5º . . . . Cot89º × 0 = 0

∴ value of Cot1º Cot2º Cot3º Cot4º Cot5º . . . . Cot90º is 0.

The correct answer is Plague.

• Charminar was built to commemorate the eradication of the Plague. It is located in Hyderabad in the Telangana state of India.
• The Charminar was constructed in 1591 to ward off the recurring plague and it was built by the fifth ruler of the Qutb Shahi dynasty, Muhammad Quli Qutb Shah.

Key Points

• Plague is an infectious disease caused by Yersinia pestis bacteria, usually found in small mammals and their fleas.
• The disease is transmitted between animals via their fleas and, as it is a zoonotic bacterium, it can also transmit from animals to humans.
• Type of Plagues are:
• Septicemic plague: When the bacteria enter the bloodstream directly and multiply there, it’s known as septicemic plague.
• Pneumonic plague: When the bacteria spread to or first infect the lungs, it’s known as pneumonic plague the most lethal form of the disease.

Additional Information

Given:

Total number of persons = 50

Number of persons who go to work by train = 18

Number of persons who go to work by bus = 26

The number of persons who go neither by train nor by bus = 8

Calculation:

Number of people who use either train or bus to go to work = (total person) - (The number of persons who go neither by train nor by bus)

⇒ Number of people who use either train or bus to go to work = 50 - 8 = 42

∴ The number of people who use either train or bus to go to work is 42.

Given:

 

Total number of persons = 50

Number of persons who go to work by train = 18

Number of persons who go to work by train = 26

The number of persons who go neither by train nor by bus = 8

Calculation:

Number of people who use both train and bus to go to work = (Number of persons who go to work by train) + (Number of persons who go to work by train) - (Number of people who use either train or bus to go to work)

⇒ Number of people who use either train or bus to go to work = (total person) - (The number of persons who go neither by train nor by bus)

⇒ Number of people who use either train or bus to go to work = 50 - 8 = 42

⇒ Number of people who use both train and bus to go to work = 26 + 18 - 42 = 2

∴ The number of people who use both train and bus to go to work is 2.

Given:

The total number of persons is 50.

The number of persons goes to work by train is 18.

The number of persons goes to work by bus is 26.

The number of persons goes to work neither by train nor by bus is 8.

Formulas:

For two sets A and B,

n(A ᴜ B) = n(A) + n(B) – n(A ∩ B)

where n(A) = number of elements in set A.

n(B) = number of elements in set B.

n(A ∩ B) = number of elements present in both sets A and B.

n(A ᴜ B) = the number of elements present in either of the sets A or B.

Calculation:

According to the question,

The total number of persons is 50.

The number of persons goes to work neither by train nor by bus is 8.

The total number of persons who go to work either by train or by bus

 ⇒ 50 – 8 = 42.

Let n(A) be the number of persons who go to work by train,

n(B) be the number of persons who go to work by bus,

n(A ∩ B) be the number of persons who go to work by train as well as by bus.

n(A ᴜ B) be the number of persons go to work either by train or by bus.

According to the formula,

n(A ᴜ B) = n(A) + n(B) – n(A ∩ B)

42 = 18 + 26 - n(A ∩ B)

⇒ 42 = 44 - n(A ∩ B)

⇒ n(A ∩ B) = 44 – 42 = 2.

The total number of persons go to work by train as well as by bus is 2.

The total number of persons who go to work by train only = 18 – 2 = 16.

The percentage of the total number of people going by train only to the total number of persons:

⇒ (16/50) × 100

⇒ 32%

∴ The percentage of the total number of people going by train only to the total number of persons is 32.

The correct answer is A.

• Structural Functionalism is one of these social theories that try to understand why society works by focusing on the relations between different social institutions that society should be built.
• Functionalism emphasizes how various social institutions work together to meet the needs of society.
• Structural-functional theory, also called functionalism, sees society as a structure with interrelated parts designed to meet the biological and social needs of the individuals in that society.

Key Points

• Structural-functionalism's core concepts are, in harness, structure, and system.
• Under the auspices of Radcliffe-Brown (1881–1955), it emerged as a clear-cut alternative to hybrid Boasian functionalism and successor to Malinowski's particular brand of economism and radical individualism.
• It derived not from German and British precursors but mainly from Durkheimian French sociology with supplementary insights from the Russian geographer and anarchist, Peter Kropotkin (1842–1921).

Additional Information

Given:

Numbers given are 72, 108 and 180.

Calculation:

We have to find out the HCF of 72, 108 and 180.

72 can be expressed as 2 × 2 × 2 × 3 × 3

108 can be expressed as 2 × 2 × 3 × 3 × 3

180 can be expressed as 2 × 2 × 5 × 3 × 3

As we can see, all numbers have the combination of (2 × 2 × 3 × 3) a factor.

Which means that (2 × 2 × 3 × 3) which is equal to 36 is HCF of 72, 108 and 180.

∴ The value of HCF of 72, 108 and 180 is 36.

The correct answer is C.

• Keoladeo National Park is also a global heritage site.
• The Keoladeo National Park in Bharatpur is located within the Indus-Ganges Monsoon Forest Biogeographical Province. It extends over an area of 2,783 hectares (6,880 acres).
• It was declared a national park in 1982. In 1900 it was a duck-hunting reserve of the Maharajas of Bharatpur, then became a bird sanctuary in 1956, with the Maharajas exercising shooting rights until 1972.

Key Points

• It was recorded as a Ramsar Wetland site in 1981. It was inscribed in the UNESCO World Heritage List in 1985 under category (x), as a natural property.
• It is famous for 364 species of wintering birds that flock in large numbers, arriving from distant countries of Afghanistan, Turkmenistan, China, and Siberia. It is surrounded by 17 villages and Bharatpur city.

Additional Information

 

The correct answer is C

• The minimum reactive elements of the periodic table are the Noble Gases.
• The periodic table, also known as the periodic table of elements, is a tabular display of the chemical elements, which are arranged by atomic number, electron configuration, and recurring chemical properties.
• The periodic table is the organized array of all the chemical elements in order of increasing atomic number the total number of protons in the atomic nucleus.

Key Points

• Noble gases are the least reactive of all known elements. That's because, with eight valence electrons, their outer energy levels are full. The only exception is helium, which has just two electrons.
• Noble gas, any of the seven chemical elements that make up Group 18 (VIIIA) of the periodic table. The elements are helium (He), neon (Ne), argon (Ar), krypton (Kr), xenon (Xe), radon (Rn), and oganesson (Og).

Additional Information

Given:

A shopkeeper sells sugar at the rate of Rs.19 per kg.

In the selling price of 19 per kg, he suffers a loss of 5%.

Calculation:

Let the cost price of sugar per kg be 100.

According to the question,

A shopkeeper sells sugar at the rate of Rs.19 per kg      ----(1)

The shopkeeper suffers a loss of 5%.

 We can say,

The selling price of sugar per kg will be (100 – 5) = 95      ----(2)

Now, we have to find out the selling price of the sugar in rupees per kg to earn a profit of 10%.

Required Selling price = 110.

From equation (1) and (2),

95  → Rs. 19

⇒ 100 → (100 × 19)/95 = 20.

⇒ 110 → (20 × 110)/100 = 22.

∴ The selling price of sugar per kg to earn a profit of 10% is Rs. 22.

The pattern followed here is:

According to the alphabetical positions of the letters,

Similarly,

Hence, ‘13 - 4 - 2 - 21 - 6 - 18’ is the correct answer.

The pattern followed here is:

According to the alphabetical positions of the letters,

Note: Letters at odd position are moved one step forward and letters at even position are replaced by their opposite letters.

Similarly,

Hence, ‘ILTKJGBO’ is the correct answer.

The correct answer is C.

• Article 360 of the Indian Constitution describes the provisions related to financial emergencies.
• According to Article 360- "If the President is satisfied that a situation has arisen whereby the financial stability or credit of India or of any part of the territory thereof is threatened, he may by a Proclamation make a declaration to that effect".

Key Points

• The Constitution of India is the supreme law of India.
• The document lays down the framework that demarcates the fundamental political code, structure, procedures, powers, and duties of government institutions and sets out fundamental rights, directive principles, and the duties of citizens.
• The Constitution of India was last amended on 25 January 2020 (104^th).

Additional Information

The logic is:

CAT : KITTEN → The young one of a CAT is called KITTEN.

Similarly,

DONKEY : ______ → The young one of a DONKEY is called FOAL.

Hence, ‘FOAL’ is the correct answer.

Given:

The ratio of two positive integers is 3 ∶ 4.

The sum of two positive integers is 70.

Calculation:

Let the first positive integer be 3x and second positive integer be 4x.

We can say that the sum of two positive integer will be (3x + 4x) = 7x.

According to the question,

The sum of two positive integers is 70.

7x = 70

⇒ x = 70/7 = 10

⇒ 3x = 3 × 10 = 30

⇒ 4x = 4 × 10 = 40

The first positive integer is 30 and the second positive integer is 40.

Let “y” be added in each integer so that the ratio of both positive integers becomes 5 ∶ 6.

We can write:

(30 + y)/(40 + y) = 5/6

⇒ (30 + y) × 6 = (40 + y) × 5

⇒ 6y – 5y = 200 – 180

⇒ y = 20.

∴ The value of integer that should be added to each positive integer so that their ratio becomes 5 ∶ 6 is 20.

The correct answer is B.

• When a stone thrown directly upwards reaches the top, its: Velocity is zero and the acceleration is about 10 m/s2.
• This is true even when an object is thrown upward or has zero velocity.
• The direction of velocity and acceleration for a ball thrown up in the air. At the highest point in its trajectory, the ball has zero velocity, and the magnitude of velocity increases again as the ball falls. The rock reaches the ground 10s after it is thrown.

Key Points

• Speed is a scalar quantity. Velocity is a vector quantity and therefore can be negative, depending upon the coordinate system you use.
• If in your coordinate system, Z is positive Upwards, then the speed of the stone (assuming that there is no air-induced drag) is 30 m/sec. However, the velocity of the stone would be 0, 0, -30 m/sec (X, Y, and Z portions of the velocity).

The correct answer is C.

• In 1951, the Indian men's water polo team won the gold medal at the Asian Games.
• Water polo in India is administered by the Swimming Federation of India.
• The Indian men's national water polo team also won a silver medal at the 1970 Asian Games.

Key Points

• In 1951, the first Asian Games were held in New Delhi and the swimming events were conducted at the then National Stadium Swimming Pool near the Delhi High Court.
• In 1951, Sachin Nag stood first and won the gold medal for India in the 100 meters freestyle (Swimming) event.

Important Points

• Last Men's Asian Games was held in 2018 Jakarta Palembang.
• In the 2018 Asian Games Kazakistan won the Gold Medal in the water polo game.
• Teams consist of 13 players in total, with 7 players in play at any time, 6 field players and 1 goal keeper.
• Players are only permitted to use one hand to hold the ball apart from the goal who can use two hands when within 5m of their own goal.

Additional Information

Indian water polo team has participated 5 times at the Asian Games:

Given:

A team wins 45 games.

The number of games won by the team is 60% of the number of games played.

Calculation:

Let the total number of games played be 100 units.

We can say that the number of games won by the team will be 60 units.

According to the question,

60 units = 45

⇒ 100 units = (45 × 100)/60 = 75

∴ The total number of games played by the team is 75.

Given:

Sin A = 1/√2

Cos B = √3/2

Concept Used:

Calculation:

According to the concept used,

If Sin A = 1/√2

⇒ A = 45°

Again, Cos B = √3/2

⇒ B = 30°

The sum of (A + B)° = 45° + 30° = 75°

∴ The value of (A + B)° is 75°.

The answer is Judge AP Shah.

Key Points

• Justice Ajit Prakash Shah, a former Chief Justice of the Delhi High Court, was named as the ethics officer (ombudsman) at the Board of Control for Cricket in India (BCCI) on November 9, 2015.
• On all conflict of interest problems plaguing Indian cricket, he will preside as the sole decision-maker.

Additional Information

• Board of Control for Cricket in India (BCCI):
• The BCCI is the governing body for cricket in India, and it is under the jurisdiction of the Ministry of Youth Affairs and Sports of the Indian government.
• President: Sourav Ganguly
• Headquarters: Mumbai
• Founded: December 1928

The correct answer is Rabies.

• Rabies is an acute viral disease of animals, which is spread in humans by the bite of an infected animal.
• Rabies is a viral disease that causes inflammation of the brain in humans and other mammals. Early symptoms can include fever and tingling at the site of exposure.
• Rabies, also called hydrophobia or lyssa, acute, ordinarily fatal, viral disease of the central nervous system that is usually spread among domestic dogs and wild carnivorous animals by a bite.
• The virus, a rhabdovirus, is often present in the salivary glands of rabid animals and is excreted in the saliva; thus, the bite of the infected animal introduces the

Key Points

• Causes for Rabies spread are bellow:
• ​People usually get rabies from the bite of a rabid animal. It is also possible, but rare, for people to get rabies from non-bite exposures, which can include scratches, abrasions, or open wounds that are exposed to saliva or other potentially infectious material from a rabid animal.
• Other types of contact, such as petting a rabid animal or contact with the blood, urine, or feces of a rabid animal, are not associated with risk for infection and are not considered to be exposures of concern for rabies.

Additional Information

Given:

Numbers = 60, 120 and 225

Concept used:

LCM of two or more numbers is the smallest number which is a common multiple of the given number

Calculation:

LCM of 60, 120, and 225 = 2 × 2 × 2 × 3 × 3 × 5 × 5

⇒ 1800

∴ The LCM of 60, 120, and 225 is 1800.

Given:

The Sodium in product almonds = 96 gm

The fiber in product almonds = 5.4 gm

Formula used:

Percentage = [(Value obtained)/(Comparison value)] × 100%

Calculation:

According to the question

Percentage = (Weight of fiber/Weight of Sodium)× 100%

⇒ (96/5.4)× 100

⇒ 1777.7%

∴ The percentage of sodium, fiber in the product almonds is 1777.7%.

Given:

Protein in product nut = 5.7 gm

Fat in product raisins = 21.7 gm

Calculation:

According to the question

Percentage = [(Protein in product nut)/(Fat in product raisins] × 100%

⇒ [(5.7)/(21.7)] × 100

⇒ 570/21.7

⇒ 26.26%

∴ The required percentage is 26.26%.

Formula used:

Average = Sum of all observations/Number of all observations

Calculation:

According to the question

Average = Sum of carbohydrate content in all product/Number of products

⇒ (46.6 + 64.7 + 65.1)/3

⇒ 176.4/3

⇒ 58.8 gm

∴ The average of carbohydrate content in all products is 58.8 gm.

The correct answer is B. 

• The reverse Osmosis process is used in water purification.
• Water purification is the process by which undesired chemical compounds, organic and inorganic materials, and biological contaminants are removed from the water.
• The purification procedure reduces the concentration of contaminants such as suspended particles, parasites, bacteria, algae, viruses, and fungi.

Key Points

• Reverse Osmosis is a technology that is used to remove a large majority of contaminants from water by pushing the water under pressure through a semi-permeable membrane.
• Reverse Osmosis is the process of Osmosis in reverse. Whereas Osmosis occurs naturally without the energy required, to reverse the process of osmosis you need to apply energy to the more saline solution.

Additional Information

The correct order of the passages to make a meaningful sentence is shown below:

Q: India must accelerate

S: its productivity attainments through

P: Strategic interventions on building

R: human talent, quality, and technology

‘India’ is a proper noun and a passage starts with a subject or a noun.

‘its’ clearly implies here ‘India’ and it is the continuing the first passage.

Among ‘P’ and ‘R’ it is clear that ‘R’ makes the last line of the passage and P is continued by R.

Hence, ‘QSPR’ is the correct answer.

The correct answer is B.

• The brain is the industrial standard name of the first computer virus for MS-DOS and was released in 1986.
• It would overwrite the boot sector on the floppy disk and prevent the computer from booting.
• It was written by two brothers from Pakistan and was originally designed as copy protection.
• The Morris was the first Computer virus that spread extensively in the wild in 1988. It was written by Robert Morris.

Key Points

• In 1991, the Michelangelo virus was first discovered in Australia. It would lay dormant until 6^th March every year and then overwrite the first one hundred sectors on the storage devices with zeros, preventing the computer from booting.
• In 1998, CIH was released. It infected around 60 million computers and caused significant damages by overwriting important system files. It was written by a Taiwanese student.
• In 1999, Melissa was released. This one was the first widespread Word Macro Virus.

Important Points

• A computer virus is a type of computer program that, when executed, replicates itself by modifying other computer programs and inserting its own code.
• If this replication succeeds, the affected areas are then said to be infected with a computer virus.

The correct answer is C.

• The metal detectors through which people pass through airports are operated by Faraday's law.
• A metal detector is an instrument that detects the presence of metal nearby. Metal detectors are useful for finding metal inclusions hidden within objects, or metal objects buried underground.
• In 1881, Alexander Graham Bell invented the first metal detector.

Important Points

 

 

Key Points

• Faradays Law:
• ​The Law states that when the magnetic flux linking a circuit changes, an electromotive force is induced in the circuit proportional to the rate of change of the flux linkage.
• The Law states that the amount of any substance deposited or liberated during electrolysis is proportional to the quantity of electric charge passed and to the equivalent weight of the substance.

Additional Information

The correct answer is B.

• Julius Oppenheimer was part of the team that invented the atomic bomb.
• The atom bomb is a weapon with great explosive power that results from the sudden release of energy upon the splitting, or fission, of the nuclei of a heavy element such as plutonium or uranium.
• Atomic bombs are made up of a fissile element, such as uranium, that is enriched in the isotope that can sustain a fission nuclear chain reaction.

Key Points

Given:

Principal = Rs. 100

Amount = Rs. 121

Rate = 10%

Formula used:

A = P[1 + (R/100)]ⁿ

Where, A = Amount, P = Principal, Rate = R, n = Number of years

Calculation:

As we know that

A = P[1 + (R/100)]ⁿ

⇒ 121 = 100[1 + (10/100)]ⁿ

⇒ 121/100 = [1 + (1/10)]ⁿ

⇒ 121/100 = (11/10)ⁿ

⇒ (11/10)² = (11/10)ⁿ

⇒ 2 = n

∴ The money is kept in bank for 2 years.

Amount = Principal + Compound interest

Compound Interest (CI) = P[{1 + (R/100)ⁿ - 1}]

A. ÷ and –

Given equation: 5 × 36 - 9 + 31 ÷ 41 = 10

After replacing the signs, we get:

L.H.S = 5 × 36 ÷ 9 + 31 - 41

= 5 × 4 + 31 – 41

= 20 + 31 – 41

= 51 – 41

= 10 = R.H.S

B. × and +

Given equation: 5 × 36 - 9 + 31 ÷ 41 = 10

After replacing the signs, we get:

L.H.S = 5 + 36 - 9 × 31 ÷ 41

= 5 + 36 – 6.80

= 41 – 6.80

= 34.2 ≠ R.H.S

C. ÷ and ×

Given equation: 5 × 36 - 9 + 31 ÷ 41 = 10

After replacing the signs, we get:

L.H.S = 5 ÷ 36 - 9 + 31 × 41

= 0.13 – 9 + 1271

= 1271.13 – 9

= 1262.13 ≠ R.H.S

D. × and -

Given equation: 5 × 36 - 9 + 31 ÷ 41 = 10

After replacing the signs, we get:

L.H.S = 5 - 36 × 9 + 31 ÷ 41

= 5 – 324 + 0.75

= 5.75 – 324

= -318.25 ≠ R.H.S

Hence, ‘÷ and –’ is the correct answer.

Given:

Efficiency of Anil = 2 × Efficiency of Binay

Time difference between Anil and Binay to finish a work = 20 days

Concept used:

Efficiency = Total Work/Time

Calculation:

According to the question

Efficiency ratio of Anil and Binay = 2 ∶ 1

The ratio of time taken by Anil and Binay = 1 ∶ 2

Time difference between Anil and Binay = 1 unit

⇒ 20 days = 1 unit

So,

Time taken by Anil = 20 × 1 = 20 days

Time taken by Binay = 20 × 2 = 40 days

Now, 

Total work = LCM of 20 and 40

⇒ 40 units

Time taken by Anil and Binay working together = Total Work/Efficiency

⇒ 40/(1 + 2)

⇒ 40/3

⇒ 13.33 days

∴ Time taken by Anil and Binay to finish work together is 13.33 days.

The correct answer is Narendra Modi.

• The international solar alliance was launched by Narendra Modi.
• The International Solar Alliance is an alliance of 121 countries initiated by India and it was founded on 30 November 2015.
• Its headquarters is located in Gurugram and its current director-general is Ajay Mathur.

Key Points

• Narendra Damodardas Modi is an Indian politician serving as the 14^th and current Prime Minister of India since 2014.
• He was the Chief Minister of Gujarat from 2001 to 2014 and is the Member of Parliament for Varanasi.
• Modi is a member of the Bharatiya Janata Party and its National Democratic Alliance.

Additional Information

The correct answer is A.

• METSAT ​ is a Geosynchronous Satellite which is the first exclusive weather satellite created by ISRO.
• METSAT (Meteorological Satellite), launched by PSLV, is the first exclusive meteorological satellite built by ISRO.
• METSAT's solar array was automatically deployed immediately after its injection into Geosynchronous Transfer Orbit (GTO) by PSLV-C4.

Key Points

• Indian meteorological instruments had been combined with telecommunication and television payloads in the INSAT series.
• METSAT was a precursor for a future INSAT system that was to have separate satellites for meteorology and telecommunications.

Additional Information

Given:

The ratio of money distributed among Arvind, Binu and Chitra is 2 : 3 : 4

Money received by Binu is Rs. 51

Calculations:

Let the money distributed among Arvind, Binu and Chitra be 2y, 3y, 4y

According to the question, we have 

Money received by Binu is Rs. 51

⇒ 3y = 51

⇒ y = 51/3

⇒ y =17

Money received by Chitra is 4y

⇒ 4 × 17

⇒ Rs. 68

Money received by Arvind is 2y

⇒ 2 × 17

⇒ Rs. 34

∴ The money received by Chitra and Arvind is Rs. 68 and Rs. 34.

Shortcut Trick

 

∴ The money received by Chitra and Arvind is Rs. 68 and Rs. 34.

The pattern followed here is:

Letters of the word are coded according to the equivalent opposite letter of a particular letter of the word.

Similarly,

Hence, ‘HFMHVG’ is the correct answer.

The correct answer is B.

• Space Application Center, SAC located in Ahmedabad, Gujarat, India.
• The Space Applications Centre is an institution of research in Ahmedabad under the aegis of the Indian Space Research Organisation.
• Indian Space Research Organization is founded by Dr.Vikram Sarabhai.
• Indians Space Research Organization's current chairman is Dr.K Sivan.

Key Points

• Space Applications Centre (SAC) is one of the major centers of the Indian Space Research Organisation (ISRO).
• SAC focuses on the design of space-borne instruments for ISRO missions and the development and operationalization of applications of space technology for societal benefits.

Additional Information

• The Indian Space Research Organisation or is the national space agency of the Republic of India, headquartered in Bengaluru.
• It operates under Department of Space which is directly overseen by the prime minister of India while chairman of ISRO acts as executive of DOS as well.

Important Points

• Top 5 Spacer agencies in the world are:
• ​National Aeronautics and Space Administration (NASA).
• China National Space Administration (CNSA).
• European Space Agency (ESA).
• Russian Federal Space Agency (Roscosmos).
• Indian Space Research Organisation (ISRO).

Calculation:

A. 3/7, 15/41, 19/35, 7/11

First we compare 3/7, 15/41

By cross multiplication, we get:

⇒ 3 × 41 = 123 and 15 × 7 = 105

⇒ 123 > 105

⇒ (3/7) > (15/41)

The fraction 3/7, 15/41, 19/35, 7/11 dose not follow the ascending order.

B. 15/41, 3/7, 19/35, 7/11

First we compare 15/41, 3/7

By cross multiplication, we get

⇒ 15 × 7 = 105 and 41 × 3 = 123

⇒ 105 < 123

⇒ (15/41) < (3/7)

Now, we compare 3/7, 19/35

By cross multiplication, we get

⇒ 3 × 35 = 105 and 7 × 19 = 133

⇒ 105 < 133

⇒ (15/41) < (3/7) < (19/35)

Now, we compare 19/35, 7/11

By cross multiplication, we get

⇒ 19 × 11 = 209 and 35 × 7 = 245

⇒ 209 < 245

⇒ (15/41) < (3/7) < (19/35) < (7/11)

∴ Option: 4) follow the ascending order (15/41) < (3/7) < (19/35) < (7/11).

Alternate Method

In this method we convert all the given fraction into decimal form, then we arrange in ascending orders.

3/7, 15/41, 19/35, 7/11

⇒ 3/7 = 0.428 = 0.43

⇒ 15/41 = 0.365 = 0.37

⇒ 19/35 = 0.542 = 0.54

⇒ 7/11 = 0.636 = 0.64

⇒ 0.37 < 0.43 < 0.54 < 0.64

(15/41) < (3/7) < (19/35) < (7/11)

∴ Option number 4) follow the ascending order (15/41), (3/7), (19/35), (7/11).

The correct answer is C.

• During his visit to Britain in November 2015, Prime Minister Narendra Modi unveiled the statue of Basaveshwar, a 12^th-century Kannada social reformer, and philosopher.

Key Points

• Saint Basaveshwar is known for struggling against the caste system and other evils in Hinduism.
• He is also known as Vishva Guru, Bhakti Bhandari, and Basava.
• Saint Basaveshwar was born in 1131 AD in Baghewadi (Karnataka).
• Basaveshwara believed in a karma-based system rather than a birth-based system.

Important Points

Given:

87, 21, 53, 12, 86, 98, 23, 64, 87, 23, 23, 87, 56, 12, 53

Concept used:

When total terms are odd,

Median = {(n+1)/2)}th term

When total terms are even

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

Calculation:                                                                                       

87, 21, 53, 12, 86, 98, 23, 64, 87, 23, 23, 87, 56, 12, 53

Arrange all terms in ascending order

⇒ 12, 12, 21, 23, 23, 23, 53, 53, 56, 64, 86, 87, 87, 87, 98

The total terms are 15, so 

Median = {(n+1)/2)}th term

⇒ Median = (15 +1)/2 term

⇒ Median = 8^th term

⇒ Median = 53

∴ The median is 53.

Important Points

For finding the Median remember the following steps,  

1) Firstly arrange all terms in ascending order

2) When all terms odd,

Median = {(n+1)/2)}th term

3. When all terms given even

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

The correct answer is Rajendra Chola 3.

• Rajendra Chola 3 was the last ruler of the Chola dynasty.

Key Points

• The Chola dynasty was the greatest of all South Indian dynasties.
• Chola ruled maritime islands such as the Maldives and Sri Lanka, indicating that he had a highly skilled and vast naval power.
• Vijayalaya Chola is considered the founder of the Chola dynasty.
• Koluthunga Chola 3 commissioned the Kampameshwara temple at Tribhuvanam near Kumbakonam, which is considered a great specimen of Dravidian architecture.
• During the reign of Rajaraja Chola 3, the Cholas lost control of the southern territories of the Cauvery river and their power was also diminishing over the Vengi regions in the north.
• Rajendra Chola 3 was the last ruler of the Chola dynasty.

​

Additional Information

Given:

The midpoint of triangle PQR is D, E, and F.

The perimeter of the triangle is 480 m.

Concept used:

The perimeter of the newly formed triangle = 1/2 ×  Perimeter of the large triangle

Calculation:

The perimeter of the triangle is 480 m

⇒ The perimeter of the newly formed triangle DEF = 1/2 ×  Perimeter of the triangle PQR

⇒ The perimeter of the newly formed triangle DEF = 1/2 × 480

⇒ The perimeter of the newly formed triangle DEF = 240 m

∴ The perimeter of the triangle DEF is 240 m.

Conclusion 1 follows.

Most people are enrolling their children in private schools because the standards of education there are much better than in public schools clearly implies that the standard of education in public schools needs improvement.

Conclusion 2 does not follows.

The standards of education are much better in private schools compared to public schools does not means that all public schools should be closed immediately. Instead, public schools must make serious efforts to improve their quality and standard.

Hence, only conclusion 1 follows.

Given:

Total time = 8 hour

Speed for first half distance = 73 km/h

Speed for second half distance = 81 km/h

Concept used:

S = D/T

Where,

S = Speed

D = Distance

T = Time

Calculation:

Let the distance between Chennai to Coimbatore be 2D.

Speed for first half distance = S₁

Speed for second half distance = S₂

Initial time = T₁

Final time = T₂ 

⇒ S₁ = 73 km/h

⇒ S₂  = 81 km/h

⇒ T = 8 hour

S₁ = D/T₁

⇒ 73 = D/T₁

⇒ T₁ = D/73      ----(1)

S₂ = D/T₂

⇒ 81 = D/T₂

⇒ T₂ = D/81      ----(2)

Total time,

T = T₁ + T₂ 

⇒ 8 = D/73 + D/81

⇒ 8 = (81D + 73D)/5913

⇒ 8 × 5913 = 154D

⇒ 4 × 5913 = 77D

⇒ 23652 = 77D

⇒ 307.17 = D

Now, total distance

⇒ 2D = 2 × 307.17

⇒ 614.34 km

∴ The distance between Chennai and Coimbatore is 614.34 km.

 

Alternate Method

Average speed (S) = (2S₁S₂)/(S₁ + S₂)

S1 = 73 km/h

S2  = 81 km/h

T = 8 hour

⇒ S = (2 × 73 × 81)/(73 + 81)

⇒ S =  (2 × 73 × 81)/154

⇒ S = (73 × 81)/77

⇒ S = 5913/77

⇒ S = 76.79 km/h

We know that,

S = D/T

⇒ 76.79 = D/8

⇒ D = 614.34 km

∴ The distance between Chennai and Coimbatore is 614.34 km.

Important Points

When the equal distance travelled by two different or same speed source, the average speed,

S = (2S1S2)/(S1 + S2)

The correct answer is C.

• The Polio vaccine was discovered by Jonas Salk.

Key Points

• Polio is an infectious disease caused mainly by the poliovirus in young children.
• On April 12 in 1955, Doctor Jonas Salk had declared polio prevention medicine safe and presented it to the world.

Important Points

By using the symbols in the table given below, we can draw the following family tree:

The only nephew of my son's wife's only unmarried brother → Imply that nephew is the son of Ritu's son and grandson of Ritu.

He is the grandfather of the only nephew → Grandfather of that nephew is definitely husband of Ritu.

The family tree diagram is as follows:

Clearly, the person is husband of Ritu.

Hence, ‘Husband’ is the correct answer.

Conclusion 1 follows.

‘Go ahead and buy it if its price and quality are good for you to think’ clearly implies that the product quality should be good and so the company is confident to promote and say so.

Conclusion 2 does not follows.

The statement does not states that only XYZ Company has the best promotional products.

Hence, only conclusion 1 follows.

Given equation: 216 ÷ 3 + 48 - 6 × 21?

After replacing the symbols by their meaning, we get:

216 - 3 × 48 ÷ 6 + 21

= 216 – 3 × 8 + 21

= 216 – 24 + 21

= 237 – 24

= 213

Hence, ‘213’ is the correct answer.

The correct answer is B.

• Marie Curie is the only woman to have received the Nobel Prize in Science and Chemistry twice.

Key Points

• In 1903, Pierre Curie and Marie Curie were awarded the Nobel Prize in Physics for discovering radioactivity.
• Madame Curie was awarded the second Nobel Prize in Chemistry in 1911 for the purification of radium and the discovery of polonium.

Important Points 

• Dorothy Hodgkin, an English chemist whose determination of the composition of penicillin and vitamin B12 earned her the 1964 Nobel Prize for Chemistry.
• Maria Mayer American physicist who shared one-half of the 1963 Nobel Prize for Physics with J. Hans D. Jensen for their proposal of the shell nuclear model.
• Ada Yonath Israeli protein crystallographer who was awarded the 2009 Nobel Prize for Chemistry.

Additional Information

• About Nobel Prize:
• The award is given by the Nobel Foundation in memory of Sweden's scientist Alfred Bernad Nobel.
• The award was instituted in 1901 by the Noble Foundation.
• This award is the world's highest award in the fields of peace, literature, physics, chemistry, medical science, and economics.

The logic is:

TEMPERATURE : THERMOMETER → THERMOMETER is a device used to measure TEMPERATURE.

Similarly,

SOLAR RADIATION : ______ → THERMOPILE PYRANOMETER is a device used to measure SOLAR RADIATION.

Hence, ‘THERMOPILE PYRANOMETER’ is the correct answer.

The correct answer is C.

Key Points

• On October 4, 1957, the Soviet Union sent the first artificial satellite 'Sputnik-1' into space.
• The satellite was able to complete the orbiter of the Earth in 96.2 minutes at a speed of 29000 kilometers per hour.
• At the time of launch, it weighed around 83.6 kg. Its diameter was 58 cm.
• Sputnik made like a metal ball, had four antennas.
• Sputnik-1 was giving signals of 20.005 and 40.002 MHz.
• Sputnik-1, which signals to radio operators around the world, stopped working in just 21 days.
• On 26 October 1957, it stopped working due to its battery running out.

Additional Information

The logic is:

India : Rupees → The currency of India is Rupees.

Similarly,

South Africa : ______ → The currency of South Africa is Rand.

Hence, ‘RAND’ is the correct answer.

The least possible Venn diagram is:          

Conclusions:

1. All moons are planets → False (As, All planets are moons → Some moons are planets)
2. Some planets are stars → True (As, All stars are planets → Some planets are stars)
3. Some moons are stars → True (As, All stars are planets and All planets are moons → Some moons are stars)
4. All planets are stars → False (As, All stars are planets → Some planets are stars)

Hence, conclusions 2 and 3 follow.

Given:

The sum of the digits of a two digit number is 5.

Calculation:

Let the unit place digit be x and tenth place digit be y

⇒ Number = 10y + x

According to question,

⇒ x + y = 5

⇒ x = 5 - y      ----(1)

⇒ 10y + x - 9 = 10x + y

⇒ 10y - y + x - 10x = 9

⇒ 9y - 9x = 9

⇒ y - x = 1      ----(2)

Putting the value of x in equation (2)

⇒ y - (5 - y) = 1

⇒ y - 5 + y = 1

⇒ 2y = 6

⇒ y = 3

Putting the value of y in equation (1)

⇒ x = 5 - y

⇒ x = 5 - 3

⇒ x = 2

So, the changed number is 10y + x - 9

Now putting the value of x and y in changed number

⇒ 10 × 3 + 2 - 9

⇒ 30 + 2 - 9

⇒ 23

∴ The changed number is 23.

Given:

Standard deviation(σ )= 4

Formula used:

Variance = σ²

Calculation:

Variance = (4)²

⇒ Variance = 16

∴ The value of variance is 16.

The correct answer is A.

• A double-density 3.5-inch floppy disk has a storage capacity of 1.44 MB.

Key Points

• The floppy disk is a thin, flexible magnetic disk sealed in a carrier made of square plastic.
• The floppy disk drive (FDD) was invented at IBM in 1967 by Alan Shugart.
• Types of Floppy disk:
• 8-inch floppy
• 5.25-inch floppy (mini floppy)
• 3.5-inch floppy
• Data is read/write at a fast speed with a 3.5-inch floppy disk. It is small in size but has a lot of storage capacity.
• The 3.5-inch floppy disk spins at a speed of 300 rotations per minute.

The correct answer is C.

• Arati Saha was the first Indian female swimmer to cross the English Channel.

Key Points

• Aarti Saha was a famous female swimmer of India.
• She was the first female swimmer from India and Asia to swim across the English Channel.
• Aarti Saha did this on 29 September 1959 and was awarded the Padma Shri in 1960.
• Aarti Saha was the first Indian woman player to receive 'Padmashree'. They are called "Hindustani Jalpari".

Additional Information

• Shikha Tandon:
• Shikha Tandon is one of the swimming champions of Bengaluru.
• She has won 146 medals at the national level and 36 medals in international competitions. Which includes five gold medals.

The correct answer is B.

Key Points

• From the equation of Ohm's Law, we have V= IR.
• Here, V= voltage, I = Current, and R= Resistance.
• From the question, it is evident that the resistance of the circuit is fixed at 5 ohms.
• From the equation, V = IR, we can say V is directly proportional to I
• This implies that voltage and current will have a direct mathematical relation when the resistance of the circuit is kept constant.
• So**, if there is an increase in current in a circuit with 5 ohms resistance (or any resistance of fixed value), the voltage will increase proportionally.**

Additional Information 

• The SI unit of resistance is ohms and is denoted by Ω.
• The SI unit of voltage is volts and is denoted by V.
• The SI unit of current is ampere and is denoted by A.
• If an element of an electrical circuit follows the ohm’s law, then the element is known as a linear element. Example- Resistor
• Limitations of ohms law:
• Ohm**’s law** is not applicable to unilateral networks. Unilateral networks allow the current to flow in one direction. Such types of networks consist of elements like a diode, transistor, etc.
• Ohm’s law is also not applicable to non – linear elements. Non-linear elements are those which do not have current exactly proportional to the applied voltage that means the resistance value of those elements changes for different values of voltage and current. An example of a non-linear element is a thyristor.
• Ohm**’s law is** also not applicable to vacuum tubes.

By using the symbols in the table given below, we can draw the following family tree:

Given condition: If Ajay's father has only one brother and Ajay's mother has no brother.

Statements:

1)  "That woman is the grandmother of my mother's only sister-in-law's son". → My mother's only sister-in-law's son means that son is cousin of Ajay and the woman is the grandmother of Ajay's cousin. Therefore, the woman is grandma of Ajay.

Clearly, the woman is grandma of Ajay.

Hence, ‘Grandma' is the correct answer.

Given:

2x - 4y = 16

Calculation:

2(x - 2y) = 16      ----(A)

⇒ x - 2y = 8

Note: For this type questions always refer the options first.

Putting the value of option (1) (8,-1) in  equation (A)

Where x = 8 and y = -1

⇒ x - 2y = 8

⇒ 8 - 2(-1) = 8

⇒ 8 + 2 = 8

⇒ 10 ≠ 8

Now put the values from the given option simultaneously option (2) (5,-5)

Where x = 5 and y = -5

⇒ x - 2y = 8

⇒ 5 - 2(-5) = 8

⇒ 5 + 10 = 8

⇒ 15 ≠ 8

Now put the values from the given option simultaneously option (3) (6, -1)

Where x = 6 and y = -1

⇒ x - 2y = 8

⇒ 6 - 2(-1) = 8

⇒ 6 + 2 = 8

⇒ 8 = 8

∴ (6, -1) satisfies the given question 2x - 4y = 16.

Given:

Total students in the class is 42

Total number girls in the class is 18

Formula used:

Percentage= (Given value/Total value) × 100

Calculations:

According to the question, we have

The number of boys is 

Number of boys = Total number of students - Total number of girls

⇒ Number of boys = 42 - 18

⇒ Number of boys = 24

The percentage of boys in the class is 

Percentage of boys = (Number of boys/Total number of students) × 100

⇒ Percentage of boys = (24/42) × 100

⇒ Percentage of boys = 57.14% = 57%

∴ The percentage of boys out of total students in the class is 57%.

The correct answer is Forward Bloc.

Key Points

• The forward bloc was formed on May 3, 1939, by Netaji Subhash Chandra Bose.
• The formation of the Forward bloc was announced to the public at the rally in Calcutta.

Additional Information

The correct answer is C.

Key Points

• The first war with Burma was fought when the Burmese expansion westwards and occupation of  Arakan and Manipur, and the threat to Assam and the Brahmaputra valley led to continuous friction along the ill-defined border between Bengal and Burma.
• In the opening decades of the 19^th Century, The British expeditionary forces occupied Rangoon in May 1824 and reached within 72 km of the Capital at AVA.
• Peace was established in 1826 with the 'Treaty of Yandabo'.

'

Additional Information

The correct answer is D.

Key Points

• The Tropic of Cancer is pass through Eight Indian States of India.
• It includes Gujarat, Rajasthan, Madhya Pradesh, Chhattisgarh, Jharkhand, West Bengal, Tripura, and Mizoram.
• It is an imaginary line that is at an angle of 23 1/2 degrees.
• It is North of the equator.
• it almost passes through the middle of India.
• Tropic of Cancer passes through the 17 countries and India is one of them.
• It crosses two times of Mahi River.

Additional Information

• Rajasthan:
• It is the largest state of India in terms of area which is 342,239 km².
• Rajasthan has a tropical desert climate.
• It is extremely cold from October to February which the Scorching Sun tortures the land from March to September.
• The capital of Rajasthan is Jaipur.
• Member of Lok Sabha: 25
• The legislature of Rajasthan is Unicameral.
• The Thar desert is the one and only Desert which is located in Rajasthan.
• The Thar desert covers 70% of the total area of Rajasthan.
• Therefore, Rajasthan State is also called the Desert State of India.
• Rajasthan is famous for its lakes such as Rajsamand Lake, Sambhar Lake, Udai Sagar Lake, Nakki Lake, Fateh Sagar Lake, etc.
• Mizoram:
• ​Mizoram means the 'Land of Highlanders'.
• Capital: Aizawl
• At present, CM of Mizoram: Lalduhawma
• At Present, Governer of Mizoram: Dr. Kambhampati Haribabu
• Tripura:
• ​Currently, Governor of Tripura: N. Indrasen Reddy
• Currently, Chief Minister of Tripura: Dr. Manik Saha
• Manipur:
• ​Capital: Imphal
• Currently, Governor of Manipur: Anusuyia Uikey
• Currently, Chief Minister of Manipur: N. Biren Singh.
• The famous Loktak Lake is located in Manipur.
• Keibul Lamjao Park is Also located in Manipur.

Given: 

a = 120π 

where a = side of the square

Concept used:

Circumference of a circle = Perimeter of the square

Formula used:

Perimeter of square = 4a

Circumference of circle = 2πr

where r = radius of circle

Calculation: 

According to the question

2πr = 4a

⇒ 2πr = 4 × 120π 

⇒ r = (4 × 120π)/ 2π 

⇒ r = 240

∴ The radius of circle is 240 cm

Given:

A. Cost price = Rs. 60, Profit = Rs. 29

B. Cost price = Rs. 40, Profit = Rs. 17

C. Cost price = Rs 50, profit = Rs 21

D. Cost Price = Rs. 30, Profit = Rs. 14

Formula used:

Profit percentage = (P/CP) × 100

where,

P is Profit 

CP is Cost price

Calculations:

(1) When Cost Price is Rs. 60 and Profit is Rs. 29

Profit percentage = (P/CP) × 100

⇒ Profit percentage = (29/60) × 100

⇒ Profit percentage = 48.33%

(2) When Cost Price is Rs. 40 and Profit is Rs. 17

Profit percentage = (P/CP) × 100

⇒ Profit percentage = (17/40) × 100

⇒ Profit percentage = 42.5%

(3) When Cost Price is Rs. 50 and Profit is Rs. 21

Profit percentage = (P/CP) × 100

⇒ Profit percentage = (21/50) × 100

⇒ Profit percentage = 42%

(4) When Cost Price is Rs. 30 and Profit is Rs. 14

Profit percentage = (P/CP) × 100

⇒ Profit percentage = (14/30) × 100

⇒ Profit percentage = 46.66%

∴ The maximum profit percentage is 48.33%.