MP Police Constable : (13 Nov 2025, Shift 2) Memory-Based Paper (Previous Year Paper)

The correct answer is K.C. Wheare.

Key Points

• ​Australian academic K.C. Wheare spent the majority of his professional life at Oxford University in England.
• He was an authority on British Commonwealth constitutions.
• He refers to India as "quasi-federal."
• The Constitution, according to him, adopts **more unitary and fewer federal traits.**​

Additional Information

Granville Austin:

• Indian federalism was referred to as "cooperative federalism" by Granville Austin.
• "A new form of the federation to fulfil India's specific needs," he said of the Indian federation.

Dr. B.R. Ambedkar:

• Ambedkar called India's federation a Union as it was indestructible which is why the Constitution does not contain words related to federalism.

The correct answer is Fathometer.

Key Points

• A fathometer is an instrument used in measuring the depth of water by the time required for a sound wave to travel from surface to bottom and for its echo to be returned.
• The fathometer dispatches sound through a submarine oscillator and receive it through a hydrophone echo receiver.

Important Points

Here, we use the table given below:

​

Logic: '7' is added to the positional value of each alphabet.

BFGD is written as IMNK →

PTUR is written as WABY →

Similarly, 'GKLI' will be written as:

Here, 'GKLI' is written as 'NRSP'.

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

Given:

The present age of Ram is = 25 years and Mohan is 10 years younger than Ram, i.e = 25 – 10 = 15 years.

Calculation:

 Let us assume after x years their age will be In the ratio of = 16  : 11

After x years the age of Ram = 25 + x years

 After x years the age of Mohan = 15 + x years

 As given there age Ratio will be = 16 : 11

⇒ ( 25 + x )/( 15 + x ) = 16/11

⇒  ( 25 + x )× 11 = ( 15 + x )× 16

⇒ 25× 11 + 11x = 15× 16 + 16x

⇒ 275 – 240 = 16x – 11x

⇒ 35 = 5x

∴ x = 7 ( After & years their ages will be the given ratio)

The correct answer is Neemuch.

• The Athana in the Neemuch district of Madhya Pradesh is famous for its Nandna Print.
• The speciality of this print is that it uses traditional bright colours.

​

Key Points

• About Nandna Print:
• It is popular among Bhil tribal women.
• Very comfortable fabric to wear in day-to-day life.
• The colour is generally of dark colour i.e blue and green.
• It is available in four patterns:
• Mirch
• Champakali
• Amba
• Jalam buta
• Champakali pattern is worn by unmarried girls.
• Amba pattern is worn at the time of marriage and pregnancy.
• Brother gift Nandna print clothes to their sister at the time of Diwali and Raksha Bandhan.

Additional Information

• Nandna hand-block printing is very difficult to make.
• It takes a month to complete 800 meters of one lot of fabric.
• It is very time-consuming and tedious work.
• Now, only Tarapur village in Neemuch is engaged in this art form.

Key PointsVitamin D - 

• Vitamin D is also referred to as calciferol
• It is a fat-soluble vitamin
• It is provided by some foods and is also produced endogenously when ultraviolet (UV) rays from sunlight strike the skin and trigger vitamin D synthesis
• Vitamin D promotes calcium absorption in the gut
• It maintains adequate serum calcium and phosphate concentrations to enable normal bone mineralization
• Adequate level is required to prevent hypocalcemic tetany i.e., involuntary contraction of muscles, leading to cramps and spasms

Explanation:

• Assertion: Deficiency of vitamin D causes bone diseases - CORRECT
• Vitamin D promotes calcium absorption
• Deficiency of vitamin D hence causes bone-related malfunctions
• Vitamin D deficiency presents itself as Rickets in children
• It causes bone pain, poor growth, and soft, weak bones that can lead to bone deformities
• In adults, vitamin D deficiency can cause osteomalacia or soft bones
• Reason: Vitamin D helps in the absorption of calcium in the body - CORRECT
• Vitamin D helps in calcium absorption and maintains bone health
• Calcium is an important building component of bone and is required for bone health

Hence, Both assertion and reason are correct and the reason is a correct explanation for the assertion.

The logic follows here is:-

Thus, the correct answer is “GF”.

Given problem can be written as (200 + 13) (200 + 13) + (200 - 13) (200 -13)

⇒ (200 + 13)² + (200 -13)²

We know that (x + y)² + (x - y)² = 2 (x² + y²)

So, the solution is 2 × (200² + 13²) = 2 × (40000 + 169) = 2 × 40169 = 80338

∴ Required value is 80338

The correct answer is Gwalior Fort.

Key Points

• Gwalior Fort was built by Man Singh Tomar in Madhya Pradesh. Gwalior Fort is known for its great architecture and rich past, Gwalior Fort is a must-visit attraction when visiting Central India.
• It was built around the 9^th century. The fort encompasses various palaces, namely Jahangir Mahal, Shah Jahan Mahal, Man Mandir Palace, the Gujari Mahal, and Karan Mahal.

Additional Information

• Taj-ul-Masajid is a mosque situated in Bhopal, India. The name is also spelled as Taj-ul-Masjid.
• “Masajid” means “mosques” (Plural of “masjid”) and “Taj-ul-Masajid” literally means “Crown Among Mosques”.
• It is the largest mosque in India and one of the largest mosques in Asia.
• The Great Stupa of Sanchi is the most significant monument which was built in the 3^rd century BCE.  
• It is located in 46 kilometers (29 mi) north-east of Bhopal, the capital of Madhya Pradesh.
• Rajwada Palace is a magnificent and historical palace that is located in the city of Indore and was constructed by the Holkars more than 200 years ago. 
• It is a seven-storied structure located near the Chhatris and serves as an excellent example of royal grandeur and architectural skills.

The Correct answer is γ-rays.

• γ-rays are produced by nuclear changes in the atom.

Key Points

• Gamma ray (symbol γ ) is a form of electromagnetic radiation arising from the radioactive decay of atomic nuclei.
• Paul Villard, a French chemist and physicist discovered gamma radiation in 1900.
• In 1903, Ernest Rutherford named this radiation gamma rays based on their relatively strong penetration of matter.
• Gamma rays are used in medicine (radiotherapy), industry (sterilization and disinfection) and the nuclear industry.

Additional Information

• Infrared rays are electromagnetic radiation with wavelengths longer than those of visible light and therefore invisible to the human eye.
• Infrared (IR) light is used by electrical heaters, cookers for cooking food, short-range communications like remote controls.
• X-rays are a form of electromagnetic radiation, similar to visible light. However, x-rays have higher energy and can pass through most objects, including the body.
• Light is electromagnetic radiation that can be detected by the human eye.

"EURO" is written as "DTQN".

E – 1 = D;

U – 1 = T;

R – 1 = Q;

O – 1 = N

Similarly, In FAKE,

F – 1 = E;

A – 1 = Z;

K – 1 = J;

E – 1 = D

Hence, in this code language “FAKE” will be written as “EZJD”

Shortcut Trick

Arrange the 15 data points in Ascending Order: 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5.

Since the total number of observations (n = 15) is Odd, the Median is the exact middle term.

Middle Position = (n + 1) ÷ 2 = (15 + 1) ÷ 2 = 8^th position.

The value at the 8^th position in the sorted list is 2.

∴ The correct answer is 2.

Alternate Method

Given Data: 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1, 2

⇒ Step 1: Count total number of observations (n). Here, n = 15.

⇒ Step 2: Arrange data in Ascending Order: 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 5, 5.

⇒ Step 3: Apply Median Formula for odd n: Median = ((n + 1) ÷ 2)^th term.

⇒ Step 4: Median = ((15 + 1) ÷ 2)^th term = 8^th term.

⇒ Step 5: Identifying the 8^th term from the sorted list: 2.

∴ The correct answer is 2.

Additional Information

Median for Even Number of Observations

If n is even, the median is the average of the (n ÷ 2)^th term and the ((n ÷ 2) + 1)^th term.

Mode of Data

The Mode is the value that appears most frequently. In this data set, 2 appears 4 times, so the Mode is also 2.

Mean of Data

The Arithmetic Mean is the sum of all observations divided by the total number of observations.

The correct answer is 22824. 

• The number of Gram Panchayats in Madhya Pradesh is 22824.
• The number of Janpad Panchayats in Madhya Pradesh is 313.
• The number of Zila panchayats in Madhya Pradesh is 52.

Key Points

• Madhya Pradesh Gram Panchayat Avam Gram Swaraj Adhiniyam, 1993 was enacted to give effect to provisions of constitution under Part IX as added by the 73^rd Constitution Amendment Act,1992.
• The Act provided for setting up the three-tier Panchayat Raj System in the state.
• Panchayat includes:
• Gram Panchayat
• Janpad Panchayat
• Zila Panchayat

Additional Information

• Gram Nyayalaya Act was passed in 2008 by Parliament for setting up of Gram Nyayalaya at the grass-root level.
• Features of Act:
• State Government after consulting with High Court may establish one or more Gram Nyayalaya in the state.
• State Government may appoint a Gram Nyayayadhikari for every Gram Nyayalaya, after consulting with High Court.
• Gram Nyayalaya exercises both civil and criminal jurisdiction to the extent provided in the state.
• No appeal shall lie from judgment or order of Gram Nyayalaya.
• First Gram Nyayalaya under the Gram Nyayalaya Act, 2008 was established in Barasiya Village in Bhopal district on 2^nd October 2009.
• Important articles, related to Panchayats are:

The correct answer is 40%.

Key Points

• In DNA, adenine (A) always bonds with thymine (T), while guanine (G) always bonds with cytosine (C).
• So, the percentages of A and T will be equal, while the percentages of G and C would also be equal.
• In this sample, there exist 10% of guanine, therefore there's also 10% of cytosine.
• Therefore, thymine and adenine would make up a total of 100% −10% −10% = 80% of the DNA.
• As they must exist in equal amounts, the percentage of thymine in this DNA sample will be 80% ÷ 2 = 40%.

Additional Information

• Adenine belongs to the purine family, occurring free in tea or combined in many substances of biological importance, including the nucleic acids, which govern hereditary characteristics of all cells.
• Thymine belongs to the pyrimidine family that is a constituent of deoxyribonucleic acid (DNA). DNA, along with RNA (ribonucleic acid), regulates hereditary characteristics in all living cells.
• Guanine belongs to the purine group, a class of compounds with a characteristic two-ringed structure, composed of carbon and nitrogen atoms, and occurring free or combined in such diverse natural sources as guano (the accumulated excrement and dead bodies of birds, bats, and seals), sugar beets, yeast, and fish scales.
• It is a component of nucleic acids, the cell constituents that store and transmit hereditary traits.
• Cytosine belongs to pyrimidine that occurs in nucleic acids, the heredity-controlling components of all living cells, and in some coenzymes, substances that act in conjunction with enzymes in chemical reactions in the body.

J, H, Q, S, X, L and I are sitting in a straight line facing south, but not necessarily in the same order.

1. X is sitting between J and S and is second to the right of H.
2. Q and H are at the extreme ends of the straight line.
3. L is sitting at the second place to the left of Q and to the immediate left of I.

There are two people between J and Q, so case 2 will be eliminated.

From Case I, H sits third to the left of J.

From the options, we can conclude that H sits third to the left of J.

Hence, 'H' is the correct answer.

Given:

Let the number be x.

25 is subtracted from the number, so the equation is:

x - 25 = 0.5x

Concept Used:

To find the number, we need to solve the linear equation for x.

Calculation:

x - 25 = 0.5x

⇒ x - 0.5x = 25

⇒ 0.5x = 25

⇒ x = 25 / 0.5

⇒ x = 50

∴ The number is 50.

The correct answer is Babar.

Key Points

• Babur was the first Mughal ruler.
• ​He ruled the Mughal dynasty from 1526 to 1530.
• He came to India from Ferghana.
• He was forced to leave his ancestral throne due to the invasion of the Uzbeks (Mongol group).
• He was a descendant of Timur from his father's side and a descendant of Chengiz Khan from his mother's side.
• He defeated Ibrahim Lodi at Panipat and captured Delhi and Agra in 1526.
• He defeated Rana Sanga of Mewar at Khanwa in 1527
• He defeated the Rajputs at Chanderi in 1528.
• Tuzuk-i-Baburi is the autobiography of Babur.

Additional Information

• Humayun
• Babur's son Humayun ascended the throne three days after Babur's death in 1530.
• Humayun forces were defeated by Afghan ruler Sher Shah Suri at Chausa near Buxar in June 1539.
• On May 17, 1540, the Mughals and the Afghans met again opposite Kannauj. He was again defeated at the battle commonly known as the Battle of Kannauj.
• In February 1555, he captured Lahore.
• In his memoir, his (sister Gulbadan begum) wrote his autobiography named "Humayunama" which was written in the Persian language.
• Akbar
• His full name was Abu'l-Fath Jalal ud-din Muhammad Akbar.
• Akbar succeeded his father Humayun at the age of thirteen on 14^th February 1556 as the third Mughal Emperor of India.
• Akbar made major reforms in the war techniques especially in the use of firearms.
• He reigned from 1556 to 1605 and extended Mughal power over most of the Indian subcontinent.
• To preserve the unity of his empire, Akbar adopted programs that won the loyalty of the non-Muslim populations of his realm.
• Shahjahan
• He was the son of Jahangir.
• On becoming the emperor, Shah Jahan executed many of his former rivals including his own brother Shahryar.
• He was given the title of "The Builder of the Marvels" as he had a remarkable ability to design new structures redesigning old forts.
• He built the Taj Mahal in Agra, the Moti Masjid in Lahore, Jama Masjid of Delhi, and Section of Agra Fort, etc.

The correct answer is the Lead.

Key Points

• Lead is a chemical element with the symbol Pb (from the Latin plumbum) and atomic number 82.
• It is a heavy metal that is denser than most common materials.
• Lead is soft and malleable, and also has a relatively low melting point. When freshly cut, lead is a shiny gray with a hint of blue.
• It tarnishes to a dull gray color when exposed to air. Lead has the highest atomic number of any stable element and three of its isotopes are endpoints of major nuclear decay chains of heavier elements.
• Lead is toxic, even in small amounts, especially to children.
• In the case of lead, the 6^th or outer shell contains four electrons. As a result, lead has four valence electrons.

Additional Information Hydrogen

• Hydrogen is a clean alternative to methane, also known as natural gas.
• It's the most abundant chemical element, estimated to contribute 75% of the mass of the universe.
• Here on earth, vast numbers of hydrogen atoms are contained in water, plants, animals, and, of course, humans.

 Oxygen

• Oxygen is a chemical element with the symbol O and atomic number 8.
• It is a member of the chalcogen group in the periodic table, a highly reactive nonmetal, and an oxidizing agent that readily forms oxides with most elements as well as with other compounds.

 Uranium

• Uranium is a chemical element with the symbol U and atomic number 92.
• It is a silvery-grey metal in the actinide series of the periodic table.
• A uranium atom has 92 protons and 92 electrons, of which 6 are valence electrons.

LOGIC : The pattern in the given series can be determined by taking the difference:

So we add 6 in the last step and keep adding the difference till the top, we get:

Hence the correct answer is option 2.

Given 

The average age of women and daughter = 21 years 

Formula Used 

Average = Sum of observation/No. of observation

Calculation 

Sum of age of women and her daughter = 21 × 2 = 42 years 

⇒ 5x + x = 42 

⇒ x = 7 

After 5 years, Women : Daughter = 5x + 5 : x + 5 

⇒ 40 : 12 = 10 : 3 

∴ The required answer is 10 : 3

The correct answer is Amarkantak.

Key Points

• Amarkantak is known as "Teerthraj" (the kilng of pilgrimages).

Additional Information

• Amarkantak:
• It is located in the eastern part of Madhya Pradesh, Amarkantak is a small town that is surrounded by dense forests and hills.
• It is known as the "Teerthraj" or the "King of Pilgrimage Sites", Amarkantak is a revered destination for Hindus, Jains, and Buddhists alike.
• It is located at an altitude of 1065 meters, where the Vindhya and Satpura mountain ranges meet.
• The Narmada River, one of the seven holy rivers in India, originates from here, making it a significant pilgrimage site.
• Amarkantak is famous for its religious significance and natural beauty.
• It is believed to be the place where Lord Shiva and Parvati meditated, and the town is home to many ancient temples and shrines dedicated to various deities.
• The Narmada Kund, where the Narmada River originates, is a sacred spot for Hindus, and a dip in its waters is considered to be purifying.
• The Mai Ki Bagiya temple, Kapildhara waterfall, and Sonmuda are other popular tourist attractions in Amarkantak.

• Non-Metals can exist in solid, liquid and gaseous forms.
• Physical Properties of non-metals:
• Density: Non-metals have low densities.
• Lustre: Non-metals do not have lustre, except diamond and iodine crystals.
• Brittleness: Solid non-metals are brittle, and some non-metals are soft. Diamond (an allotrope of carbon) is an exception, which is the hardest natural substance.
• Ductility & Malleability: Non-metals are neither ductile nor malleable.
• Conduction of Heat & Electricity: Non-metals are bad conductors of heat and electricity except graphite.
• Physical State: At ordinary temperature non-metals occur as solids, liquids, and gases.

For example, Solids: Carbon, Sulphur, Phosphorus, Liquids: Bromine 

Gases: Hydrogen, Nitrogen.

The correct answer is Option 3 : Ask your current boss for the salary hike explaining the situation.

• Qualities Projected in this situation:  (Effective Intelligence, Self-confidence, Sense of responsibility, and Speed of decision making).

Key Points

• Checklist for attempting SRT questions:

1. Read the question and options carefully.
2. Look for options that are realistic, optimistic, and reflect officer-like qualities.
3. Do not skip any situation.
4. Relegate the negative sentences and choose the most logical option among the remaining. As time is an important factor, hence your thinking ability should be swift.
5. React quickly and be logical.

Additional Information

Officer qualities:

Formula used

Cos(90 - θ) = sinθ

Calculation

Cos(90 - 65) = sin 65º

cos²25º = sin² 65º

\(\frac{\operatorname{Cos}^2 25^{\circ}-\operatorname{Sin}^2 65^{\circ}}{\operatorname{Cos}^2 25^{\circ}+\operatorname{Sin}^2 65^{\circ}}\)

⇒ cos225º - sin2 65º = sin2 65º - sin2 65º = 0

The answer is 0.

The correct answer is natural tar.

Key Points

• The 'Great Bath' of Mohenjodaro was made water-tight with a layer of natural tar.
• In Mohenjodaro, close to the Great Granary is the public bath, also called the Great Bath.
• It is a large and elaborate bath and without doubt the earliest public water tank in the ancient world.
• Two wide staircases lead down into the tank from the north and south.
• There exists a brick edging across the entire width of the pool for people to move along the width without actually stepping into the pool.
• The floor of the tank is water-tight due to finely fitted bricks with gypsum plaster, and a thick layer of natural tar laid along the sides and the floor. The use of stone is not present.
• A massive well in a neighboring room provided water.
• This bath would have been used for special religious functions or rituals.

Additional Information

• The Indus Valley Civilization extended from present-day north-east Afghanistan to Pakistan and north-west India.
• The Indus Valley Civilization is an ancient civilization that flourished in the Indian subcontinent between 3,000 BC and 1,500 BC.
• Mohenjodaro (Pakistan) is situated on the banks of the river Indus. Discovered in 1922 by R. D. Banerjee in the Larkana district of Sindh. Mohenjodaro means "Mound of the Dead". The most important structure is the huge bathhouse and the huge granary.
• Daya Ram Sahni discovered the Harappan Civilization in 1921. It is situated on the banks of the Ravi river in the Montgomery district of Punjab (Pakistan).
• Important findings are sandstone sculptures of human anatomy, granary, and bullock cart.

The correct answer is High elongation.

Explanation:

Polymers

• They are giant molecules. They are important chemicals in our bodies (proteins, poly(nucleic acids)), in plants (starch, cellulose), and in our everyday lives (fibres, plastics, elastomers).
• Every polymer has its own characteristics, but most polymers have the following general properties.

Additional Information 

• Characteristics of Polymers
• Low specific gravity and high specific strength
• Thermal and electrical insulations
• Corrosion and weather resistances
• They can be processed in various ways to produce thin fibres or intricate parts (High elongation)
• Ease in design and manufacturing of complicated structures
• Outstanding aesthetic appeal due to ease in the adoption of permanent colours
• Mass production with low energy-intensive manufacturing techniques
• Ease in printability and adhesion
• Ease in handling and cleanliness
• Offering tremendous scope of physical and chemical modification to meet industrial and consumer requirement
• Tremendous adaptability to low-cost production.

Bodmas Rule:

Given:  'A' means '×', 'B' means '÷', 'C' means '+' and 'D' means,'−'.

Now, the equation is: 94 B 47 C 63 D 14 A 5 C ? = −2

After replacing, the equation we get:

→ 94 ÷ 47 + 63 - 14 × 5 + ? = - 2

→ 2 + 63 - 14 × 5 + ? = - 2

→ 2 + 63 - 70 + ? = - 2

→ 65 - 70 + ? = - 2

→ - 5 + ? = - 2

→ ? = - 2 + 5 = 3. 

Hence, the correct answer is "3".

Concept:

Calculation:

(48 ÷ 8 + 25 – 6 × 4 + 3) – (25 ÷ 5 × 3 – 4 × 3) = ?

⇒ (6 + 25 – 6 × 4 + 3) – (5 × 3 – 4 × 3) = ?

⇒ (6 + 25 – 24 + 3) – (15 – 12) = ?

⇒ (34 – 24) – 3 = ?

⇒ 10 – 3 = ?

⇒ ? = 7

∴ (48 ÷ 8 + 25 – 6 × 4 + 3) – (25 ÷ 5 × 3 – 4 × 3) = 7

The correct answer is Uttar Pradesh.

Key Points

• The Sardhana Christian Fair is a significant event held in the state of Uttar Pradesh.
• The fair is held in the town of Sardhana, which is located in the Meerut district of Uttar Pradesh.
• This fair is an important religious event for the Christian community, particularly those following the Catholic faith.
• The fair is held at the Basilica of Our Lady of Graces, a historical church built by Begum Samru, a notable figure in the region.

Additional Information

• Uttar Pradesh
• Uttar Pradesh, often abbreviated as UP, is a state in northern India with Lucknow as its capital.
• It is the most populous state in India, with a rich cultural and historical heritage.
• Uttar Pradesh is known for its diverse religious and cultural events, including various fairs and festivals that draw people from across the country.
• The state is home to several important historical and religious sites, including the Taj Mahal, Varanasi, and Ayodhya.
• Basilica of Our Lady of Graces
• The Basilica of Our Lady of Graces, also known as Sardhana Church, is a prominent Catholic church located in Sardhana, Meerut.
• It was built by Begum Samru, a wealthy and influential figure of the 18^th century, who converted to Christianity and constructed the church in 1822.
• The church is an architectural marvel, reflecting a blend of Indian and European styles, and is one of the most significant Christian pilgrimage sites in North India.
• The annual fair held at the church attracts thousands of devotees and visitors, making it a notable event in the region.

The correct answer is Electrons in them have fixed energy.

Key Points

• Bohr's model of the atom was proposed by Neils Bohr.
• Bohr explained that a nucleus (positively charged) is surrounded by negatively charged electrons.
• According to Bohr, Electron which is moving in an orbital does not lose or radiate energy.
• Bohr was awarded the Nobel Prize in Physics in 1922.
• The Bohr model of an atom came as a modification to Rutherford’s model of an atom.
• Postulates of Bohr’s model of an atom are:
• In an atom, electrons move in a fixed circular path around a positively charged nucleus. This path is known as orbits or shells.
• These orbits or shells have fixed energy.
• The energy levels are represented by an integer (n = 1, 2, 3, 4, …) known as a quantum number.
• If an electron moves from lower energy level to higher energy level, then it will do so by gaining energy and if it moves from higher energy level to lower energy level then it will do so by losing energy.

The Logic followed here is:-

Seconds is the unit of time.

Checking option one by one in the table shown below for the similar word pair:-

As we can see clearly from the table above that the word pair Ohm : Resistance is the similar word pair as it follows the logic.

Hence, the correct answer is "Ohm : Resistance"

Concept use:

To calculate the new salary after a percentage increase, we can use the formula:

New Salary = Old Salary + (Old Salary x Percentage Increase)

Where:

Old Salary = Rs. 50,000

Percentage Increase = 10% (or 0.10 in decimal form)

Calculation:

New Salary = 50,000 + (50,000 x 0.10)

New Salary = 50,000 + 5,000

New Salary = Rs. 55,000

Hence, the new salary after a 10% increase is Rs. 55,000.

The correct answer is Satpura.

Important Points

• The Deccan Plateau is a triangular shaped plateau and is bounded by the Satpura range in the North.
• The Deccan Plateau is a triangular landmass that lies to the south of the river Narmada.
• The plateau is bounded on the east and west by the Ghats, escarpments that meet at the plateau’s southern tip.
• Its northern extremity is the Satpura Range.
• Its principal rivers—the Godavari, Krishna, and Kaveri (Cauvery)—flow from the Western Ghats eastward to the Bay of Bengal.
• The Satpura range flanks its broad base in the north, while the Mahadev, the Kaimur hills and the Maikal range form its eastern extensions.
• An extension of the Plateau is also visible in the northeast, locally known as the Meghalaya, Karbi-Anglong Plateau and North Cachar Hills.
• Dhupgarh (1,350 m) near Pachmarhi on Mahadev Hills is the highest peak of the Satpura Range.

The correct answer is Constant acceleration.

Key Points

• In this case, the given equation, y=mt shows that the velocity is linear with time.
• Therefore the particle is moving with constant acceleration because for a particle to acquire constant acceleration the graph of the velocity time graph should be linear with the time function.

Additional Information

• Constant speed means the speed doesn't change at all for each second of the motion. 
• Example: driving a car on cruise control.
• A constant velocity example is a car moving at a constant speed that will elapse at an equal distance in an equal duration of time. 
• The velocity of the car is measured as the ratio distance covered by the car from its initial position to reach a certain distance in a certain period of time.

Given: All turns are 90 degree turns only

Starting from point P, Sheetal walks 50 m towards the west.

She takes a right turn and walks 20 m.

Then she takes a left turn and walks 47 m.

She takes a left turn again and walks 75 m.

Again, she takes a left turn and walks 47 m.

She takes a left turn again and walks 20 m.

Then she takes a right turn and walks 50 m.

Finally, she takes a left turn and walks 10 m to reach point Q. 

Thus, point P is (75 - 20 - 20 - 10) = 25 m away from the point Q in the north direction.

Hence, "Option 1" is the correct answer.

Shortcut Trick

Use the algebraic identity: (l + b + h)² = l² + b² + h² + 2(lb + bh + hl)

Here, (l + b + h) = Sum of dimensions = 27 cm

√(l² + b² + h²) = Diagonal = 18 cm ⇒ l² + b² + h² = 18² = 324

Total Surface Area (TSA) = (Sum)² − (Diagonal)²

TSA = 27² − 18² = 729 − 324 = 405 cm²

∴ The correct answer is 405 cm².

Alternate Method

Given:

Sum of dimensions (l + b + h) = 27 cm

Length of diagonal (d) = 18 cm

Formula Used:

Diagonal of cuboid (d) = √(l² + b² + h²)

Total Surface Area (TSA) = 2(lb + bh + hl)

Calculations:

⇒ l + b + h = 27

Squaring both sides:

⇒ (l + b + h)² = 27²

⇒ l² + b² + h² + 2(lb + bh + hl) = 729

We know that Diagonal d = √(l² + b² + h²) = 18

⇒ l² + b² + h² = 18² = 324

Substitute this value in the squared equation:

⇒ 324 + 2(lb + bh + hl) = 729

⇒ 2(lb + bh + hl) = 729 − 324

⇒ TSA = 405 cm²

∴ The correct answer is 405 cm².

Additional Information

Volume of Cuboid

The space occupied by a cuboid is given by Volume = l × b × h.

Lateral Surface Area

The area of the four side walls is given by LSA = 2h(l + b).

Cube Properties

For a cube where l = b = h = a, TSA = 6a² and Diagonal = a√3.

The Correct Answer is Rapeseed and Mustard.

Key Points

• The MSPs of toria are fixed on the basis of the MSPs of rapeseed/mustard..
• Minimum Support Price
• ​It is the price at which the government purchases crops from the farmers, whatever may be the price for the crops.
• The government decides the support prices for various agricultural commodities after taking into account the recommendations of the Commission for Agricultural Costs and Prices.
• The MSP is announced at the beginning of the sowing season.
• The government announces minimum support prices (MSPs) for 22 mandated crops and Fair and remunerative price (FRP) for sugarcane. Hence, the total crops for which MSP is announced is 25.
• The mandated crops are 14 crops of the Kharif season, 6 rabi crops and two other commercial crops.
• In addition, The MSPs of de-husked coconut are fixed on the basis of the MSPs of copra.

Additional Information

• The list of crops is as follows.
• Cereals (7) - paddy, wheat, barley, jowar, bajra, maize, and ragi
• Pulses (5) - gram, arhar/tur, moong, urad, and lentil
• Oilseeds (8) - groundnut, rapeseed/mustard, toria, soybean, sunflower seed, sesamum, safflower seed, and nigerseed
• Raw cotton
• Raw jute
• Copra
• De-husked coconut
• Sugarcane (Fair and remunerative price)
• Virginia flu cured (VFC) tobacco
• The Cabinet Committee of Economic Affairs announces MSP for various crops at the beginning of each sowing season based on the recommendations of the Commission for Agricultural Costs and Prices (CACP).

The correct answer is Nicotine.

• The main poisonous constituent of tobacco is nicotine.

Key Points ​

• Tobacco smoke is made up of thousands of chemicals, including at least 70 known to cause cancer.
• The cancer-causing chemicals are known as carcinogens.
• Some of them are:-
• Nicotine
• Hydrogen cyanide
• Formaldehyde
• Lead
• Arsenic

Additional Information

• Nicotine- C₁₀H₁₄N₂ 
• It's a naturally occurring chemical that contains nitrogen.
• It is heavily addictive.
• Uses
• Nicotine is used as a recreational drug because of its mood-altering and pleasure-inducing effects.o
• It is also used as a treatment for addiction to tobacco.
• It is also used as a pesticide.
• Aspirin
• Formula- C₉H₈O₄.
• It is a common drug used for treating minor pains and fevers.
• Morphine
• Formula- C₁₇H₁₉NO₃.
• It is used for treating moderate to severe pain.
• Reserpine
• Formula- C₃₃H₄₀N₂O₉.
• It is a drug used to treat high blood pressure.

The family tree diagram is shown below:

Hence, the girl is granddaughter of the woman.

"

NOTE:

The question has been modified as it was erroneous."

Given:

A can finish a task in 20 days.

B can finish the same task in half the time taken by A, i.e., in 10 days.

Formula Used:

Work done by A in 1 day = 1/20

Work done by B in 1 day = 1/10

Work done by A and B together in 1 day = Work done by A in 1 day + Work done by B in 1 day

Calculation:

Work done by A in 1 day = 1/20

Work done by B in 1 day = 1/10

Work done by A and B together in 1 day

⇒ (1/20) + (1/10)

⇒ (1/20) + (2/20)

⇒ (3/20)

The part of the task that A and B can finish in a day is 3/20.

The Correct Answer is Knee injuries.

In News

• Samuel Umtiti Retires from Football at 31, Citing Knee Injuries.

Key Points

• Samuel Umtiti, the 2018 FIFA World Cup winner, announced his retirement from professional football at the age of 31.
• Umtiti’s career was marred by chronic knee injuries that restricted his playing time, preventing him from reaching his full potential.
• Umtiti’s peak moments include winning the 2018 FIFA World Cup with France and earning significant success with Barcelona, including 2 La Liga titles and 3 Copa del Rey trophies.
• He was known for his calmness under pressure, strong positional sense, and ball-playing ability, which made him one of the best centre-backs in Europe during his prime.

Additional Information

• FC Barcelona: Established in 1899, based in Barcelona, Spain, it is one of the most successful football clubs globally, with numerous La Liga and Champions League titles.
• France National Football Team: Two times FIFA World Cup winner (1998, 2018), and is a major force in international football.
• 2018 FIFA World Cup: Held in Russia, France defeated Croatia 4–2 to win their second World Cup, with Umtiti playing a crucial role.

The correct answer is Liver.

Key Points

• Liver is the largest internal organ in the human body.
• The study of the liver is called hepatology.
• Liver is the largest gland in the human body.
• The liver is made up of specialized cells called hepatocytes.
• Liver is the largest metabolic organ in the human body.
• Liver is an organ that stores a large amount of fat.
• Hepatitis is a viral disease of the liver.
• Ammonia and urea are produced in the liver.
• The liver is the organ known as the chemical lab of the human body.
• Liver is the heaviest organ in the human body.
• The weight of the liver is around 1500 grams.
• The liver is the most important center for the formation of lymph.

Additional Information

• The heart is the busiest organ of the human body.
• The study of the heart and its disease is known as cardiology.
• The human heart is about the size of a fist.
• The circulation of blood in the body is regulated by the heart.
• The kidney is a bean-shaped organ.
• The study of kidneys is called nephrology.
• The kidney helps with the excretion in the human body.
• Kidney act as a filter of the human body.
• The functional unit of the Kidney is the nephron.
• The absorption of water takes place in the large intestine.

Given: 10 days before was Sunday and 6 days after will be Tuesday.

Now,

We know that 10 days before today was Sunday.

So, today - 10 days = Sunday.

Similarly, 6 days after today will be Tuesday.

So, today + 6 days = Tuesday.

Now, let us calculate the days of the week:

Counting forward from Sunday for 10 days, we get:

10 days = 10/7 = 1 week and 3 odd days,

So, Sunday + 3 = Wednesday.

Counting forward from Wednesday(Today) for 6 days, we get:

Wednesday + 6 = Tuesday.

So, today is Wednesday.

Hence, the correct answer is "Option 2".

Shortcut Trick

If a sum becomes n times in T years at Compound Interest,

It will become n^m times in m × T years.

Here, the sum becomes 2 times in 3 years.

We need the sum to become 8 times, which is 2³ times (so m = 3).

Required time = 3 × 3 = 9 years.

∴ The correct answer is 9 years.

Alternate Method

Given:

Principal (P) becomes 2P in Time (T) = 3 years.

Let Rate of Interest be R% per annum.

Formula Used:

Amount (A) = P(1 + R/100)^T

Calculation:

⇒ 2P = P(1 + R/100)³

⇒ 2 = (1 + R/100)³    ... (Equation 1)

We need to find the time (T') when the principal becomes 8P.

⇒ 8P = P(1 + R/100)^T'

⇒ 8 = (1 + R/100)^T'

Since 8 can be written as 2³, substitute the value of 2 from Equation 1:

⇒ [(1 + R/100)³]³ = (1 + R/100)^T'

⇒ (1 + R/100)⁹ = (1 + R/100)^T'

Comparing the powers on both sides:

⇒ T' = 9

∴ The correct answer is 9 years.

Additional Information

Multiplying Factor in Compound Interest

If a sum of money becomes x times in T years at CI, it becomes xⁿ times in n × T years due to successive compounding.

Simple Interest Linear Growth

Unlike CI, in Simple Interest, if a sum becomes 2 times in T years (i.e., Interest = P), it will become 8 times (Interest = 7P) in 7 × T years since interest remains constant.

Half-Yearly Compounding

When compounded half-yearly, the rate of interest becomes half (R/2) and the time period is doubled (2T). Formula: A = P(1 + R/200)^2T.

CI and SI Difference

The difference between Compound Interest and Simple Interest for 2 years on a given principal is calculated as: D = P × (R/100)².

The correct answer is Ten years.

Important Points

• Initially, the reservation of seats for scheduled castes and scheduled tribes in the House of people and in the legislative assemblies of the States was initially made for a period of 10 years (1951-1961).
• However, it got extended ever since with subsequent amendments in the constitution.
• There are 84 members from the Scheduled Caste and 47 from the Scheduled Tribe communities in Parliament. In state assemblies across India, there are 614 SC members and 554 ST members.

Key Points

• Article 330-Reservation of seats for Scheduled Caste and Scheduled Tribes in the House of people.
• Article 331- the President use to nominate 2 members of the Lok Sabha from the Anglo-Indians Community.
• Article 332- Reservation of seats for Scheduled Castes and Scheduled Tribes in the legislative assemblies of the states.
• Article 333-Representation of the Anglo Indian community in the legislative assemblies of the states.

Additional Information

• 104^th constitutional amendment act extended the reservation of seats for SCs and STs in Lok Sabha and state assemblies and at the same time removed the reserved seats for the Anglo Indian community in LS and State Assemblies.
• In January 2020, the Anglo-Indian reserved seats in the Parliament and State Legislatures of India were abolished by the 104^th Constitutional Amendment Act, 2019.

The correct answer is Polio.

Key Points

• Polio disease is caused by the virus.

Additional Information 

• Poliomyelitis, commonly shortened to polio, is an infectious disease caused by the poliovirus.
• In about 0.5 per cent of cases, it moves from the gut to affect the central nervous system and there is muscle weakness resulting in flaccid paralysis.
• This can occur over a few hours to a few days.
• Prevention: Polio vaccine
• Ringworm, also known as dermatophytosis, dermatophyte infection, or tinea, is a fungal infection of the skin.
• Ringworm is a misnomer, since a fungus, not a worm, causes the infection.
• The lesion caused by this infection resembles a worm in the shape of a ring hence the name ringworm.
• 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.
• Cholera is an infectious disease that causes severe watery diarrhoea, which can lead to dehydration and even death if untreated.
• It is caused by eating food or drinking water contaminated with a bacterium called Vibrio Cholerae.

The logic followed here is:

As we know that the year 2000 is divisible by 400, and so the number of odd days = 0.

Next, the number of leap years till 2010 = 2 i.e. 2004 and 2008.

And, the number of ordinary years till 2010 = 8

So, the total number of odd days will be till 2011 is

= 8 + 2(2) = 12 odd days

Again, the total number of odd days till 19^th Feb 2011 

= 12 + 31 (Jan) + 19 (Feb)

= 62 odd days = 8 weeks and 6 odd days

Thus, the day on 19^th Feb 2011 is Saturday.

Hence, the correct answer is 'option 2'.

Given:

The average age of 9 students and their teacher is 16 years.

Formula used:

Average = \(\dfrac{Sum\ of\ observations}{Total\ no.\ of\ Observations}\)

Calculation:

Total of age of 9 students and teacher = 10 × 16 = 160 years

Total age of first 4 students = 4 × 19 = 76 years

Total age of last 5 students = 5 × 10 = 50 years

Age of teacher = 160 - (76 + 50) = 34 years

∴The answer is 34 years .

The correct answer is To benchmark logistics efficiency across Indian States and Union Territories.

In News

• Union Minister Piyush Goyal launched LEADS 2025, a logistics benchmarking initiative aimed at improving logistics efficiency across all Indian States and Union Territories.

Key Points

• LEADS 2025 introduces corridor-level assessments, waiting time metrics, and API-enabled road-section speed tracking to identify logistics bottlenecks and improve efficiency.
• Key metrics include journey time, truck speed, and waiting periods, which will help reduce delays and lower logistics costs across India.
• The initiative aligns with India’s goals of Make in India, Atmanirbhar Bharat, and global competitiveness by 2047.
• LEADS 2025 aims to strengthen India’s supply chain competitiveness and provide data-driven insights for better infrastructure investment and policy-making.

Additional Information

• LEADS 2025 Components
• It evaluates logistics efficiency across different corridors, with parameters like truck speed, waiting time, and journey time.
• API-based speed monitoring of road sections will provide real-time, high-resolution data for better planning and monitoring.
• Strategic Implications
• The initiative will help enhance manufacturing competitiveness, reduce logistics costs, and foster global trade efficiency.
• It promotes transparency in logistics performance and infrastructure, contributing to accountability and efficiency in the supply chain.

The correct answer is Birds.

• Ornithophily refers to the pollination through birds.

Key Points

• Ornithophily or bird pollination is the pollination of flowering plants by birds.
• This sometimes (but not always) coevolutionary association is derived from insect pollination (entomophily) and is particularly well developed in some parts of the world, especially in the tropics, Southern Africa, and on some island chains.
• The association involves several distinctive plant adaptations forming a "pollination syndrome".
• The plants typically have colorful, often red, flowers with long tubular structures holding ample nectar and orientations of the stamen and stigma that ensure contact with the pollinator.
• Birds involved in ornithophily tend to be specialist nectarivores with brushy tongues and long bills, that are either capable of hovering flight or light enough to perch on the flower structures.

Drawing diagram according to the given information,

He is facing West now.

Hence, “west” is the correct answer.

The area of the triangle = 24 cm²

So, the area of the square = 24 × 100/150 = 16 cm²

Now, the side of the square = √16 = 4 cm

So, the base of the triangle = 4 × 200/100 = 8 cm

Let the height of the triangle be ‘h’ cm.

The area of the triangle = (1/2) × 8 × h = 24

⇒ h = 6 cm

The correct answer is Wainganga Canal.

Key Points

• Wainganga Canal-it takes off from the Wainganga River (length 45 km) to irrigate about 4,000 hectares of land in Balaghat, Seoni, district of Madhya Pradesh, and Bhandara districts of Maharashtra**.**
• Wainganga River is one of the key tributaries of the river Godavari.
• Source: The river rises in the Mahadeo Hills in the Seoni District of Madhya Pradesh.
• Drainage Basin: It drains Madhya Pradesh and Maharashtra.
• Longest Tributary: Kanhan River, which rises in the hills at the southern edge of the Satpura Range in the Chhindwara District (Madhya Pradesh).
• The Wainganga after joining the Wardha River at Chaprala in Gadchiroli district (Maharashtra) is known as the Pranahita River.
• Gosekhurdh irrigation project is being constructed on the Wainganga River.

The correct answer is Medulla.

Explanation:

• Medulla is the part of the brain (Hindbrain).
• Brain is the central information processing organ of our body and acts as the 'command and control sysem' of all body activities.
• It is the lowest part of the brain as well as the lowest portion of the brainstem.
• Medulla (oblongata) of the brain is connected to the spinal cord.
• The medulla contains centres, which control respiratory rhythm, cardiovascular reflexes, gastric secretions, and the postural gestures of the body.
• Therefore, It controls all the involuntary actions including blood pressure, salivation and vomiting.
• It also plays an important role in transmitting messages between spinal cord and brain.

Additional Information

• The heart is located between the lungs in the middle of the body.
• The heart comprises chambers, valves, vessels, wall, and conduction system.
• The lungs are a pair of spongy air-filled organs located on either side of the chest.
• It is used for respiration
• The eye consists of the sclera, cornea, pupil, lens, retina, vitreous humor, and anterior & posterior chambers.

The logic follows here is:

Logic: The letters and symbols are getting shifted it's position as shown below.

Hence, the correct answer is "Option 1".

Shortcut Trick

Present Ratio = 5 : 2 (diff 3) | 4 years ago = 3 : 1 (diff 2).

Equate the age difference by multiplying present by 2 and past by 3:

Present = 10 : 4 | 4 years ago = 9 : 3.

Gap of 1 unit = 4 years ⇒ 1 year = 0.25 unit ⇒ 6 years = 1.5 units.

Ratio after 6 years = (10 + 1.5) : (4 + 1.5) = 11.5 : 5.5 = 23 : 11.

∴ The correct answer is 23 : 11.

Alternate Method

Given:

Present ratio of Father and Son = 5 : 2

Ratio 4 years ago = 3 : 1

Let the present ages be 5x and 2x.

⇒ (5x − 4) / (2x − 4) = 3 / 1

⇒ 1 × (5x − 4) = 3 × (2x − 4)

⇒ 5x − 4 = 6x − 12

⇒ 6x − 5x = 12 − 4

⇒ x = 8

Present Age of Father = 5 × 8 = 40 years

Present Age of Son = 2 × 8 = 16 years

Ages after 6 years:

⇒ Father = 40 + 6 = 46 years

⇒ Son = 16 + 6 = 22 years

⇒ Required Ratio = 46 : 22 = 23 : 11

∴ The correct answer is 23 : 11.

Additional Information

Constant Age Difference

The difference between the ages of two individuals always remains constant, regardless of the number of years passed or preceding.

Ratio Balancing Method

To solve age problems quickly, multiply ratios such that the numerical difference between the ratio parts becomes equal to the constant age difference.

Future and Past Age Calculation

If present age is A, then age 'n' years ago is (A − n) and age 'n' years hence is (A + n).

Karagam dance is a folk dance performed in the Tamil Nadu state of India. It is believed that Karagam is originated in Thanjavur, a village in Tamil Nadu. The villagers perform this dance in praise of the rain goddess "Mari Amman" and the river goddess "Gangai Amman" as a part of their custom. The idol of Mariamman is carried in procession.

The correct answer is Friction.

• Friction is a force that opposes motion.
• When two objects are in contact, friction acts in the opposite direction to the motion of the object.

Additional Information

• Ball bearings are a type of rolling-element bearing that use balls to maintain separation between the bearing races.
• ​The purpose of ball bearings is to reduce rotational friction and support radial and axial loads.
• Lubrication is a process that reduces friction and wear between two moving solid surfaces with a film of solid, liquid or gaseous material without causing any damage to the surfaces.
• The newton is the Standard International (SI) unit of force.
• In physics and engineering documentation, the term newton(s) is usually abbreviated N.

The logic followed here is:

Step I: The symbol 'Dotted Circle' are moving positions in increasing order consecutively i.e. in +, +2, +3 and +4.

Step II: The symbol 'Plus' are moving positions in increasing order consecutively i.e. in +, +2, +3 and +4.

So, the complete series of image will be:

Hence, the correct answer is "Option 2".

Given:

The ratio of the present age of Rohit to Mohit = 2 ∶ 3

After 8 years, age of Rohit = 20

Calculation:

The present age of Rohit and Mohit is 2x and 3x.

The relation between Present age and age after 8 years of Rohit, 2x + 8 = 20

⇒ x = 6.

Present age of Mohit = 3x = 18

∴ The present age of Mohit is 18 years.

The correct answer is Dewas.

Key Points

• Dewas city in Madhya Pradesh is associated with the renowned singer Kumar Gandharva.
• Kumar Gandharva was a Hindustani classical singer, well known for his unique vocal style.
• 'Kumar Gandharva Samaroh' is organized at Dewas city of Madhya Pradesh.

Additional Information

• Mahakaleshwar Jyotirlinga temple is located in the ancient city of Ujjain in the state of Madhya Pradesh.
• Ujjain is situated on the side of the holy river Shipra.

Important Points

• The district gets its name from the district headquarters town, Dewas which is said to have been derived on the basis of two traditions.
• One is that Dewas lies on the foot of a conical hill, known as Chamunda hill about 300 ft. above the ground level on top of which the shrine of Chamunda is located.
• The image of the Goddess is cut in the rocky wall of a cave. It is, therefore, known as Devi Vashini or the Goddess’s residence. From this, the name Dewas (dev-vas) seems to have been derived. The other view of the probable origin is from the name of the founder of the village Dewasa Bania.
• The district is now divided into 9 tehsils, Sonkatch, Dewas, Bagli, Kannod, Tonk-Khurd, Khategaon, Satwas, Hatpipliya, and Udainagar.

The logic followed here is:

So, '127' will replace the question mark in  the given series.

Hence, the correct answer is "Option 1".

Given:

3[5{2 − (6 − 1)} + 20] 

Calculation:

3[5{2 − (6 − 1)} + 20] 

⇒ 3[5{2 − 5} + 20] 

⇒ 3[5 × - 3 + 20] 

⇒ 3[- 15 + 20] 

⇒ 3[- 15 + 20] 

⇒ 3 × 5 = 15

∴ 3[5{2 − (6 − 1)} + 20] = 15

The correct answer is Balaghat.

Key Points

• Malanjkhand copper mine is India's largest open-cast copper mine located near the town of Malanjkhand northeast of Balaghat in Madhya Pradesh at an altitude of 576 MRL.
• Malanjkhand Copper Belt comprises a large body of copper ore in granitic rocks varying from diorite to granite in composition. Prominent deposits are Malanjkhand, Shitalpani(Balaghat), Gidhri Dhorli, Jatta, and Garhi Dongri.
• It falls in the tehsil of Baihar, which is 22 kilometers (14 mi) from the project, on the way to Balaghat, Madhya Pradesh State.
• It is located nearby to the Kanha National Park.
• It is the largest base metal mine in India.
• The Closet series of the Dharwarian formation is prominent there.
• Malanjkhand Copper Project was established in 1982.
• The initial project has been set up by Hindustan Copper Ltd(HCL) to exploit the copper ore through an open-pit mine.
• Geological Survey of India took systematic geological exploration at this deposit during 1969.
• The mining lease of the ore was granted to HCL in 1973.
• It is the single largest copper deposit of India with nearly 70% of the country’s reserve and contributing around 80% to HCL’s total copper production.

The pattern used here is:-

Place the digit value of all digits.

ALERT is written as 11251820,

HERD is written as 85184,

Similarly,

CLOTH is written as “31215208”.

Thus, the correct answer is “31215208”.

Calculation:

Average weight of P, K and R = 40 kg

Total weight of all together = P + K + R = 40 × 3 = 120      ----(i)

Average weight of P and K be 45 and K and R be 35 kg

P + K = 45 × 2 = 90      ----(ii)

K+ R = 35 × 2 = 70       ----(iii)

On solving eq.

(i) and (ii)

Weight of R = 30

Then from eq.

(iii) ⇒ K + 30 =  70

⇒ K = 40

∴ Weight of K is 40 kg

∴ Option 1 is the correct answer.

The correct answer is 1, 2, and 3.

Key Points

• Lok Adalat is one of the alternative dispute redressal mechanisms.
• It is a forum where disputes/cases pending in the court of law or at the pre-litigation stage are settled/ compromised amicably.
• Hence statement 1 is correct**.**
• Lok Adalats have been given statutory status under the Legal Services Authorities Act, 1987.
• Hence statement 2 is correct**.**
• Under the Act, the award (decision) made by the Lok Adalats is deemed to be a decree of a civil court and is final and binding on all parties and no appeal against such an award lies before any court of law.
• If the parties are not satisfied with the award of the Lok Adalat though there is no provision for an appeal against such an award.
• Hence the statement 3 is correct.

Important Points

• The term ‘Lok Adalat’ means ‘People’s Court’ and is based on Gandhian principles.
• As per the Supreme Court, it is an old form of adjudicating system that prevailed in ancient India and its validity has not been taken away even in the modern days too.
• It is one of the components of the Alternative Dispute Resolution (ADR) system and delivers informal, cheap, and expeditious justice to the common people.
• The first Lok Adalat camp was organized in Gujarat in 1982 as a voluntary and conciliatory agency without any statutory backing for its decisions.

Given

Statement:

13 − 65 ÷ 45 × 21 + 2 = 82

According to the question, after interchanging the given two signs and two numbers :

So,

• Option - (1) : 65 and 13, × and +

65 − 13 ÷ 45 + 21 × 2 = 82

65 - 0.28 + 21 × 2 = 82

65 + 42 - 0.28 = 82

107 - 0.28 = 82

106.72 ≠ 82 (LHS ≠ RHS)

• Option - (2) : 45 and 13, × and +

Given

Statement:

13 − 65 ÷ 45 × 21 + 2 = 82

45 − 65 ÷ 13 + 21 × 2 = 82

45 - 5 + 21 × 2 = 82

45 + 42 - 5 = 82

87 - 5 = 82

82 = 82 (LHS = RHS)

• Option - (3) : 45 and 21, × and +

Given

Statement:

13 − 65 ÷ 45 × 21 + 2 = 82

13 − 65 ÷ 21 + 45 × 2 = 82

13 - 3.09 + 45 × 2 = 82

13 + 90 - 3.09 = 82

103 - 3.09 = 82

99.91 ≠ 82 (LHS ≠ RHS)

• Option - (4) : 45 and 13, − and +

Given

Statement:

13 − 65 ÷ 45 × 21 + 2 = 82

45 + 65 ÷ 13 × 21 - 2 = 82

45 + 5 × 21 - 2 = 82

45 + 105 - 2 = 82

150 - 2 = 82

148 ≠ 82 (LHS ≠ RHS)

Hence, "Option - (2)" is the correct answer.

Shortcut Trick

When two equal half distances are covered at speeds a and b, the average speed for the entire journey is (2 × a × b) ÷ (a + b).

Average speed = (2 × 20 × 30) ÷ (20 + 30) = 1200 ÷ 50 = 24 kmph.

Total Distance = Average Speed × Total Time

Total Distance = 24 × 5.5 = 132 km.

∴ The correct answer is 132 km.

Alternate Method

Given:

Speed for the first half of the journey (v₁) = 20 kmph

Speed for the second half of the journey (v₂) = 30 kmph

Total time taken to complete the journey (T) = 5.5 hours

Formula Used:

Time = Distance ÷ Speed

Distance = d
Distance = d

Speed = 20 kmph
Speed = 30 kmph

Total Time = 5.5 hours

Calculations:

Let the total distance of the journey be 2d km. Thus, each half of the journey is d km.

⇒ Total Time = Time for first half + Time for second half

⇒ (d ÷ 20) + (d ÷ 30) = 5.5

⇒ Taking LCM of 20 and 30, which is 60:

⇒ (3d + 2d) ÷ 60 = 5.5

⇒ 5d ÷ 60 = 5.5

⇒ d ÷ 12 = 5.5

⇒ d = 5.5 × 12

⇒ d = 66 km

⇒ Total Distance = 2d = 2 × 66 = 132 km

∴ The correct answer is 132 km.

Additional Information

Average Speed (Three Equal Distances)

When a journey is divided into three equal parts covered at speeds a, b, and c, the average speed is given by (3 × a × b × c) ÷ (ab + bc + ca).

Average Speed (Equal Time Intervals)

If a person travels at different speeds v₁, v₂, ..., v_n for equal amounts of time, the average speed is simply the arithmetic mean: (v₁ + v₂ + ... + v_n) ÷ n.

Relative Speed

When two objects move in the same direction, their relative speed is the difference between their speeds |v₁ − v₂|. When moving in opposite directions, it is the sum of their speeds v₁ + v₂.

The correct answer is Sharda Sinha.

Key Points

• Sharda Sinha (1 October 1952) was an Indian Maithili-language folk-singer.
• She also sings in Bhojpuri and Magahi languages.
• She is known for her Maithili version of the Chhath Puja-themed song "Ho Dinanath".
• Sinha was awarded Padma Bhushan, India's third-highest civilian award, on the eve of Republic Day, 2018.
• In 2015, she received the Padma Shri award for her contribution to music.

Additional Information

• Chief Minister of Bihar - Nitish Kumar
• Governor of Bihar -  Arif Mohammed Khan
• Folk Dance of Bihar - Jat-Jatin
• State Bird of Bihar - House sparrow

Preparing the family tree using the following symbols,

We can dram following Family Tree from the information given above:

1. Arya's mother's husband is the brother of Meena's mother.

2. Vansh is the brother of Meena and Kavita.

3. Varun is the father of Arya.

Hence, Varun is “Maternal uncle” of Vansh.

Given:

Length of the bridge = 204 m

Time taken by train to cross the bridge = 61 sec