MP Police Constable : (8 Dec 2025) Memory-Based Paper (Previous Year Paper)

The Correct Answer is Dom Phillips.

In News

• “How to Save the Amazon”:  British journalist Dom Phillips.

Key Points

• The Amazon Rainforest spans nine South American countries.
• It is bounded by:
• Guiana Highlands (north)
• Andes Mountains (west)
• Brazilian central plateau (south)
• Atlantic Ocean (east)
• 60% of the forest is in Brazil, followed by Peru (13%) and Colombia (10%).
• The climate is hot and humid with temperatures between 26-30°C year-round.
• It has no distinct seasons and receives 2,000 to 10,920 mm of rainfall annually.
• Known as the “lungs of the planet”, it produces about 20% of the world’s oxygen.
• The Amazon plays a key role in reducing pollution and acts as a carbon sink to fight climate change.
• Many plants in the forest have medicinal properties, containing compounds that can treat diseases like cancer.
• The book “How to Save the Amazon” honors journalist Dom Phillips and highlights the forest’s importance and fragility.

The correct answer is C3H₆.

Key Points

• Propene or propylene is a colorless gas with a slightly sweet smell. It belongs to the alkene group of hydrocarbons.
• Chemical Formula: C₃H₆
• Structural Formula: H₂C=CH-CH₃
• Molecular Geometry: Trigonal planar around the carbon-carbon double bond; Tetrahedral around the carbon atoms attached to three other atoms.
• Covalent bond: The chemical bond formed by sharing of two valence electron between the two atoms. There are 8 carbon-hydrogen covalent bonds and 2 carbon-carbon covalent bonds present in the propane molecule. So, the total number of covalent bonds present in propane is (8 + 2 = 10)
• A covalent bond is represented clearly by drawing an electron - dot structure.
• Hybridization: sp² hybridized around the carbon of the double bond; sp³ hybridized around the last carbon.
• Polarity: Non-polar because of its symmetric geometric structure and the similar electronegativity of Carbon and Hydrogen.
• In terms of reactions, propene is commonly involved in addition reactions due to the presence of the double bond:
• Combustion: Like all hydrocarbons, propene burns in oxygen to produce water and carbon dioxide.
• C₃H₆ + 4.5 O₂ -> 3 CO₂ + 3 H₂O
• Addition of Halogens: When reacted with halogens like Bromine (Br2), the bromine molecule adds across the double bond.
• C₃H₆ + Br₂ -> C₃H₆Br₂
• Hydrogenation: Propene can undergo hydrogenation to produce propane, in the presence of a metallic catalyst.
• C₃H₆ + H₂ -> C₃H₈
• Polymerization: Propene is particularly important in the industry as a monomer in the production of polypropylene, a versatile plastic.

Additional Information

Alkenes are hydrocarbons that contain a carbon-carbon double bond. Here are some common alkenes:

• Ethene (ethylene): This is the simplest alkene and is utilized broadly in the chemical industry. Its chemical formula is C2H4 and its structural formula is H2C=CH2.
• Butene: There are three isomers of butene; 1-butene, 2-butene (cis and trans). The chemical formula for Butene is C₄H8. The structural formulas are CH₂=CH-CH₂-CH₃ for 1-butene and CH₃-CH=CH-CH₃ for 2-butene.
• Pentene: There are three isomers of pentene; 1-Pentene, 2-Pentene (cis and trans). The chemical formula for Pentene is C5H10. The structural formulas are CH2=CH-(CH2)3-CH3 for 1-Pentene and CH3-CH=CH-(CH2)2-CH3 for 2-Pentene.
• These molecules are important in both natural processes (such as ripening of fruits) and industrial processes (such as polymer production, preparation of alcohols, etc.). The "cis" and "trans" prefixes refer to the geometry of the substituents around the double bond. In "cis" isomers, the larger substituents are on the same side of the double bond, while in "trans" isomers, they are on opposite sides.
• All alkenes have similar chemical properties due to the presence of the carbon-carbon double bond. They all can undergo addition reactions where a molecule can add across the double bond, and polymerization reactions where individual alkene molecules (monomers) combine to form long chains (polymers), such as polyethylene and polypropylene plastics.

Given Equation: 114 ÷ 85 + 5 × 4 – 33 = 149 

BODMAS Table:

Let's check each option One by One:

Option 1) ÷ and +

Given Equation: 114 ÷ 85 + 5 × 4 – 33 = 149 

After interchanging the signs we get;

New Equation: 114 + 85 ÷ 5 × 4 – 33 = 149 

114 + 85 ÷ 5 × 4 – 33 = 149 

114 + 17 × 4 – 33 = 149 

114 + 68 – 33 = 149 

182 - 33 = 149

149 = 149.

Option 2) ÷ and –

Given Equation: 114 ÷ 85 + 5 × 4 – 33 = 149 

After interchanging the signs we get;

New Equation: 114 - 85 + 5 × 4 ÷ 33 = 149 

114 - 85 + 5 × 4 ÷ 33 = 149

114 - 85 + 5 × 0.12 = 149

114 - 85 + 0.60 = 149

114.60 - 85 = 149

29.60 ≠ 149.

Option 3) + and ×

Given Equation: 114 ÷ 85 + 5 × 4 – 33 = 149 

After interchanging the signs we get;

New Equation: 114 ÷ 85 × 5 + 4 – 33 = 149 

114 ÷ 85 × 5 + 4 – 33 = 149 

1.34 × 5 + 4 – 33 = 149 

6.70 + 4 – 33 = 149

10.70 - 33 = 149

-22.29 ≠ 149. 

Option 4) – and +

Given Equation: 114 ÷ 85 + 5 × 4 – 33 = 149 

After interchanging the signs we get;

New Equation: 114 ÷ 85 - 5 × 4 + 33 = 149

114 ÷ 85 - 5 × 4 + 33 = 149 

1.34 - 5 × 4 + 33 = 149

1.34 - 20 + 33 = 149

34.34 - 20 = 149

14.34 ≠ 149.

Hence, the correct answer is 'Option 1'.

Given

Numbers: 30, 36, 40

Formula: LCM (Least Common Multiple)

⇒ LCM of 30, 36, and 40 is 360.

⇒ When divided by 10, we get 36 which is equal to X².

⇒ Therefore, X = √36 = 6

Hence, the value of X is 6 (Option 2).

The correct answer is "Morena".

Important Points:

• Easternmost district of M.P. is Singrauli.
• Westernmost district of M.P. is Alirajpur.
• Southernmost district of M.P. is Burhanpur.
• East to West expansion of M.P. is 870 km.
• North to South expansion of M.P. is 605 km.
• Total area of M.P. is 308252 Sq. Km.

The correct answer is The nucleus of a heavy atom, when bombarded with low-energy neutrons, can be split apart into lighter nuclei.

Key Points

• Nuclear fission is a process in which the nucleus of a heavy atom is split into lighter nuclei.
• This process is usually initiated by bombarding the heavy nucleus with low-energy neutrons.
• The splitting of the nucleus releases a large amount of energy in the form of heat and radiation, which can be harnessed for practical purposes.
• Nuclear fission is used in nuclear power plants to generate electricity.

Additional Information

• Nuclear fusion is coming together of high-energy electrons and low-energy neutrons.
• The nucleus of a low-energy atom is not heavy enough to undergo fission.
• Only heavy nuclei, such as uranium and plutonium, are capable of fission.
• Nucleus of a low-energy atom cannot be split apart into heavier nuclei.
• Fission only produces lighter nuclei.https://www.acs.org/careers/chemical-sciences/areas/organic-chemistry.html#:~:text=Organic%20chemistry%20is%20the%20study,phosphorus%2C%20silicon%2C%20sulfur)..)

The pattern followed is,

For 21 : 529

21 + 2 = 23

23² = 529

For 25 : 729

25 + 2 = 27

27² = 729

For 17 : ?

17 + 2 = 19

19² = 361

Hence, “361” is the correct answer.

Shortcut Trick

Ratio of capitals of C : A : B is 1 : 5 : (5 × 2) = 1 : 5 : 10.

Total ratio parts = 1 + 5 + 10 = 16 units.

Given total profit = Rs. 5600.

Value of 1 unit (C's share) = 5600 ÷ 16 = Rs. 350.

∴ The correct answer is Rs. 350.

Alternate Method

Given: Capital of A = 5 × Capital of C; Capital of B = 2 × Capital of A; Total Profit = Rs. 5600. Formula: Profit Share Ratio = Capital × Time Period (Since time is same, Profit Ratio = Capital Ratio).

⇒ Let Capital of C be x.

⇒ Then, Capital of A = 5x and Capital of B = 2 × 5x = 10x.

⇒ Ratio of Profit (A : B : C) = 5x : 10x : x = 5 : 10 : 1.

⇒ Sum of ratios = 5 + 10 + 1 = 16.

⇒ C's share = (1 ÷ 16) × 5600 = 350.

∴ The correct answer is Rs. 350.

Additional Information

Partnership Basics

When multiple people invest different amounts for the same time, profit is shared in the ratio of their investments.

Variable Time Periods

If time periods are different, Profit Ratio = (Capital₁ × Time₁) : (Capital₂ × Time₂).

The correct answer is - Ancient, Medieval, Modern

Key Points

• Periodisation:
• Periodisation is the process of categorising the past into discrete, quantified named blocks of time to facilitate the study and understanding of history.
• This approach helps historians organise information and identify patterns and changes over time.
• Common Periodisation in Indian History:
• Historians commonly divide Indian history into three major periods: Ancient, Medieval, and Modern.
• These periods help to distinguish the different phases of cultural, social, political, and economic developments in India.
• Ancient Period:
• This period includes the early civilisations, such as the Indus Valley Civilisation, and spans up to around the 8^th century CE.
• It covers the rise and fall of empires like the Maurya and Gupta empires, and significant cultural and religious developments.
• Medieval Period:
• The Medieval period spans from around the 8^th century to the 18^th century.
• This era includes the establishment of various regional kingdoms, the Delhi Sultanate, and the Mughal Empire.
• It also encompasses significant developments in art, architecture, and culture.
• Modern Period:
• The Modern period begins in the 18^th century with the advent of British colonial rule and extends to the present day.
• This period includes the struggle for independence, the post-independence era, and contemporary developments in India.

The correct answer is H3O+

Key Points

• When hydrogen ions (H⁺) combine with water molecules, they form a hydronium ion (H₃O⁺).
• This is because H⁺ ions are essentially protons (which are just hydrogen nuclei) and cannot exist freely in aqueous solutions.
• They interact with water molecules to form hydronium ions.
• The hydronium ion represents the protonated form of water and is the actual species responsible for the acidic properties in aqueous solutions.

Additional Information

• HO⁻ (Hydroxide Ion)
• ​The hydroxide ion (OH⁻) is formed when a water molecule (H₂O) loses a proton (H⁺).
• The hydroxide ion is characteristic of basic (alkaline) solutions.
• It acts as a base because it can accept a proton (H⁺).
• Therefore, HO⁻ is associated with basicity or alkalinity rather than acidity.
• For example, in a strong base like sodium hydroxide (NaOH), the OH⁻ ions are responsible for the basicity.
• H₂ (Hydrogen Gas) 
• H₂ is a molecule of hydrogen gas, which consists of two hydrogen atoms (H) bonded together by a covalent bond
• Hydrogen gas (H₂) is neutral in nature and is not related to the concept of acidity or alkalinity.
• It is a molecular species
• H₂SO₄ (Sulfuric Acid)
• ​H₂SO₄ is sulfuric acid, a strong acid that dissociates in water to release hydrogen ions (H⁺).
• Sulfuric acid is one of the strongest acids.
• When it dissolves in water, it releases a significant amount of hydrogen ions (H⁺), which lowers the pH and makes the solution acidic.
• However, sulfuric acid itself is not a direct representation of hydrogen ions in their purest form; it is a compound that produces H⁺ ions in solution.

The pattern followed here is:

Letters at even position of the word are coded according to the equivalent opposite letter of a particular letter of the word and letters at odd position are coded according to the logic shown below:

Similarly,

Hence, ‘OMYIZRU’ is the correct answer.

Shortcut Trick

Cost Price (CP) = ₹380 and Loss = ₹140.

Selling Price (SP) = CP − Loss = 380 − 140 = ₹240.

Since a 20% discount is given on the Marked Price (MP), SP = 80% of MP.

80% of MP = ₹240 ⇒ 100% of MP = (240 ÷ 80) × 100 = 3 × 100 = ₹300.

∴ The correct answer is ₹300.

Alternate Method

Given: CP = ₹380, Loss = ₹140, Discount% = 20%.

Formulas: SP = CP − Loss | MP = SP × 100 ÷ (100 − Discount%)

⇒ Step 1: Calculate Selling Price (SP) = CP − Loss = 380 − 140 = 240.

⇒ Step 2: Relate SP to Marked Price (MP). SP = MP × (1 − 20/100) = MP × 0.8.

⇒ Step 3: MP = 240 ÷ 0.8 = 300.

∴ The correct answer is ₹300.

Additional Information

Marked Price & Discount

Discount is always calculated on the Marked Price (MP). Formula: SP = MP − Discount.

Loss and Selling Price

When Cost Price (CP) is greater than Selling Price (SP), a loss occurs. Formula: Loss = CP − SP.

The correct answer is Public health and sanitation.

Key Points

• The Seventh Schedule to the Constitution of India defines and specifies the allocation of powers and functions between Union & States. It contains three lists; i.e. 1) Union List, 2) State List and 3) Concurrent List.
• "Public health and sanitation" is on the State list.
• Some important subjects of the state list are following
• Police
• Public health and sanitation
• Public order
• Betting and gambling
• Hospitals and dispensaries

Additional Information

• Some important subjects of the Concurrent list are following
• Forest
• Trade unions
• Adoption
• Succession
• Education
• Marriage
• Some important subjects of the Union list are following
• Army
• International Relations
• Ports
• Railways
• Defence
• Communication
• Highways

The correct answer is Esters.

Key Points

• ​An ester is a chemical compound derived from an oxoacid.
• Esterification is the general name for a chemical reaction in which two reactants.
• Esters compound is obtained by the reaction of an oxoacid with a hydroxyl compound, such as alcohol or phenol
• Esters are common in Organic chemistry and biological materials.​

Additional Information

• In organic chemistry, a carbonyls group is a functional group composed of a carbon atom double-bonded to an oxygen atom.
• Amines are compounds and functional groups that contain a basic nitrogens atom with lone pair.
• A carboxylic acid is an organic acid that contains a carboxyl group attached to an R-group.

Given → Six persons P, A, V, K, J and C are sitting in a row facing north.

1. J is to the immediate left of K and is at one of the ends.

2. C is to the immediate left of V who is third to the right of P.

3. The only place left for A to sit is between P and C as shown in the diagram below.

Hence, the correct answer is "P".

Given:

The wallet contains Rs. 900 

A wallet containing 100 rupee notes, Rs. 50 rupee notes and 20 rupee notes in the ratio of 2 : 3 : 5

Calculation:

A wallet containing 100 rupee notes, Rs. 50 rupee notes and 20 rupee notes in the ratio of 2 : 3 : 5

So, total 100 rupees notes are 2x, total 50 rupees notes are 3x, total 20 rupees notes are 5x

Now, A/Q

(2x) × 100 + (3x) × 50 + (5x) × 20 = 900

⇒ 200x + 150x + 100x = 900

⇒ 450x = 900

⇒ x = 2

So, Total Rs 100 notes is 2 × 2 = 4

Total Rs 50 notes = 3 × 2 = 6

Total Rs 20 notes = 5 × 2 = 10

The correct answer is option 3 i.e., Ujjain

• Maharishi Panini Sanskrit Evam Vedic Vishwavidyalaya is a state University situated in Ujjain, Madhya Pradesh.
• The University was established in the year 2008 by the government of Madhya Pradesh.
• The Sanskrit University was established on 17 August 2008 by the then Chief Minister of Madhya Pradesh, Shri Shivraj Singh Chouhan.
• The present Vice-Chancellor of the University is Dr. Pankaj Laxman Jani.
• The Central Sanskrit University was established in the capital city of Bhopal and was established by an act of Parliament.

The correct answer is 1869.

Key Points

• Dmitri Mendeleev invented the periodic table in 1869, organizing elements based on their atomic weights and properties.
• Mendeleev left gaps in the table for elements yet to be discovered, predicting their properties accurately.
• On March 6, 1869, Mendeleev presented his first periodic table to the Russian Chemical Society.
• Mendeleev’s table demonstrated that when elements are arranged by increasing atomic weight, certain chemical properties repeat periodically.
• This periodic arrangement became the foundation for the modern periodic table used in chemistry today.

Additional Information

• Periodic Law: Mendeleev’s periodic table was based on the periodic law which states that the properties of elements are a periodic function of their atomic weights.
• Modern Periodic Table: Today, the periodic table is organized by atomic number (proton count) rather than atomic weight, as introduced by Henry Moseley in 1913.
• Predicted Elements: Mendeleev accurately predicted the existence and properties of elements like germanium (eka-silicon), gallium (eka-aluminum), and scandium.
• Contributors to Periodicity: Other scientists like John Newlands (law of octaves) and Lothar Meyer worked on periodic classification, but Mendeleev’s table was more comprehensive and widely accepted.
• Significance: Mendeleev’s periodic table provided a systematic framework for studying chemical elements, aiding in the discovery of new elements and advancing the field of chemistry.

Hence, figure in “option 2” is the correct answer.

Shortcut Trick

Ratio of speeds (A : B) = 15 : 16

Since distance is constant, the ratio of time taken (A : B) = 16 : 15

Difference in time units = 16 − 15 = 1 unit → 16 minutes

Actual time for B = 15 × 16 = 240 minutes = 4 hours

Distance = Speed of B × Time of B = 16 km/h × 4 hours = 64 km

∴ The correct answer is 64 km.

Alternate Method

Given:

Speed of runner A = 15 km/h

Speed of runner B = 16 km/h

Difference in time = 16 minutes = 16/60 hours

Formula Used:

Distance = [Product of Speeds ÷ Difference of Speeds] × Time Difference

Calculations:

⇒ Distance = [15 × 16 ÷ (16 − 15)] × (16/60)

⇒ Distance = [240 ÷ 1] × (4/15)

⇒ Distance = 240 × (4/15)

⇒ Distance = 16 × 4

⇒ Distance = 64

∴ The correct answer is 64 km.

Additional Information

Speed-Time Relationship

When the distance is constant, speed is inversely proportional to the time taken (S₁/S₂ = T₂/T₁).

General Distance Formula

For a fixed distance, if speeds are S₁ and S₂ and time difference is ΔT, then Distance = (S₁ × S₂ / |S₁ − S₂|) × ΔT.

Unit Conversion

To convert km/h to m/s, multiply by 5/18. To convert minutes to hours, divide by 60.

The Correct Answer is Carlos Alcaraz.

In News

• Carlos Alcaraz defends his crown, beats Jannik Sinner to win longest French Open men's singles final in history.

Key Points

• Carlos Alcaraz won the 2025 French Open Men’s Singles title, defending his crown.
• He defeated world number 1 Jannik Sinner in a five-set thriller:

4-6, 6-7, 6-4, 7-6, 7-6.

• It was the longest French Open men’s final ever, lasting 5 hours and 29 minutes.
• The previous longest final was in 1982 (4 hrs 42 mins – Wilander vs Vilas).
• This was Sinner’s first Grand Slam final loss.
• Alcaraz is now 5-0 in Grand Slam finals, maintaining a perfect record.
• At 22 years old, he became the third-youngest man to win 5 Grand Slam titles, after Bjorn Borg and Rafael Nadal.
• The win also ended Sinner’s 20-match winning streak in Grand Slam matches.

The correct answer is Neon.

Key Points

• Neon gas emits a distinctive red-orange light when electricity is passed through it.
• Neon is widely used in neon signs, which are often used for advertising purposes.
• Neon is a noble gas and is chemically inert, which makes it safe for use in various applications.
• Neon was discovered in 1898 by the British chemists Sir William Ramsay and Morris W. Travers.

Additional Information

• Neon:
• Neon is a chemical element with the symbol Ne and atomic number 10.
• It is a noble gas, which means it is colorless, odorless, and inert under standard conditions.
• Neon has a very low boiling point and is the fifth most abundant element in the universe.
• Neon lights are created by passing an electric current through a tube filled with neon gas, causing the gas to glow brightly.
• Other Gases Mentioned:
• Hydrogen: A colorless, odorless gas that is the lightest and most abundant element in the universe. It is highly flammable and is used in fuel cells and as a rocket propellant.
• Argon: A noble gas with the symbol Ar and atomic number 18. It is used in welding, incandescent light bulbs, and as a protective atmosphere for growing silicon and germanium crystals.
• Helium: A colorless, odorless, tasteless, non-toxic, inert, monatomic gas that heads the noble gas group in the periodic table. It is used in cryogenics, as a coolant for nuclear reactors, and in lighter-than-air balloons.

Logic : Square of consecutive odd numbers are added.

Hence, "90" is the correct answer.

Given:

An alloy of copper and zinc contains 80% zine by weight

Total alloy = 350g

Calculation:

According to the question,

Zinc by weight = 350 × 80/100 = 280g

Copper by weight = 350 - 280 = 70g

This alloy 50g of copper is added = 70 + 50 = 120g

New alloy = 280 + 120 = 400g

Required % = 120/400 × 100 = 30%

∴ Percentage of copper in the new alloy is 30%.

The correct answer is Alamgirpur.

Key Points 

• The history of India begins with the birth of the Indus Valley Civilization (IVC), also known as the Harappan Civilization. 
• It flourished around 2,500 BC, in the western part of South Asia, in contemporary Pakistan and Western India.
• The Indus Valley was home to the largest of the four ancient urban civilizations of Egypt, Mesopotamia, India and China.
• In the 1920s, the Archaeological Department of India carried out excavations in the Indus valley wherein the ruins of the two old cities, viz. Mohenjodaro and Harappa were unearthed.
• The early Harappan communities were turned into large urban centres, like Harappa and Mohenjodaro in Pakistan and Lothal in India.
• Suktagendor is the westernmost boundary of the IVC. It is located in the Balochistan Province of Pakistan.
• While Alamgirpur is the easternmost boundary of the IVC. This site is located in the Meerut District of Uttar Pradesh. Hence option 3 is Correct.
• Daimabad is the Southermost boundary of the IVC which is located on the Pravara river in the Maharshtra state.
• Manda is the Northermost boundary which is located in the present Jammu and Kashmir region on Chenab river.

The correct answer is magnesium.

Key Points

• MgCO₃CaCO₃ is the standard formula for dolomite, a magnesium ore.
• It is the major constituent of dolostone, a sedimentary rock, and dolomitic marble, a metamorphic rock.
• Although dolomite is uncommon in present sedimentary conditions, dolostones are abundant in the rock record.
• Magnesium is an atomic number 12 chemical element with the symbol Mg. It's a gleaming grey solid with many of the same physical and chemical properties as the other alkaline earth metals.
• The successive addition of three helium nuclei to a carbon nucleus produces this element in huge, aged stars.​

Important Points

• Aluminium is a chemical element with the atomic number 13 and the symbol Al. The most common aluminium ore is bauxite.
• The chemical element sodium has the symbol Na and the atomic number 11. The mineral borax is a sodium ore.
• The chemical element potassium has the symbol K and the atomic number 19.

Statements:

All T are P.

All C are P.

Some O are C.

Possible Venn diagram:

Conclusions:

I. Some T are C → False (It is not correct because there is no definite relation between them)

II. Some P are T → True (Since all T are P)

III. Some P are O → True (Since all C are P and some O are C)

Both conclusions II and III follow.

Hence, 'option 2' is the correct answer.

Given:

30% of (x - y) = 20% of (x + y)

Calculation:

30% of (x - y) = 20% of (x + y)

⇒ 30/100(x - y) = 20/100(x + y)

⇒ 3(x - y) = 2(x + y)

⇒ 3x - 3y = 2x + 2y

⇒ 3x - 2x = 2y + 3y

⇒ x = 5y

⇒ (100/5)% × x = y

⇒ 20% of x = y

∴ 20% of x is y.

The correct answer is Jabalpur.

Key Points

• The state's first Municipal corporation was opened in the Jabalpur district of Madhya Pradesh.
• In Jabalpur, many tourist spots are there like Bhedaghat, Dhuandhare Waterfall, White Marble Rocks, Madan Mahal, Hanumantal Bada Jain Mandir, etc.
• Vinayak Narhari Bhave has been called the city as Sankaar Dhanni or Cultural Capital of Madhya Pradesh. The Madhya Pradesh High court is situated here. One of the Country's India Ordnance Factory is here.
• The Snooker game is originated here. The city was mainly influenced by the Marathas and Mughal reigns of rulers.

Additional Information

Important Points

• Nagar Nigam is an Urban Local Body.
• The 74^th amendment made the provisions relating to urban local governments (Nagar Palika).
• The members of the Nagar Palika are elected representatives for a term of five years.

The Correct Answer is Option 4, i.e Heating of Limestone.

• A Combination reaction is one in which two or more reactants combine to form a single product.
• Examples are the formation of calcium oxide by the combination of calcium and oxygen.
• Calcium Hydroxide is formed by adding water to quicklime.
• Combustion of coal and combustion of hydrogen are examples of combination reactions.
• Coal burns in air to form carbon dioxide gas.
• Hydrogen burns in the presence of oxygen to form water.
• A Decomposition reaction is a type of chemical reaction in which a single compound breaks down into two or more new compounds.
• When Limestone is heated strongly it decomposes to form calcium oxide and carbon dioxide.

The logic here is as follows,

Thus the next term in the series is PRT.

Shortcut Trick

Difference in Percentage = 42% − 30% = 12%

Difference in Marks = 58 − (−50) = 108 marks

⇒ 12% = 108 marks

⇒ 1% = 9 marks

⇒ Pass Marks = 30% + 50 = (30 × 9) + 50 = 270 + 50 = 320

∴ The correct answer is 320 marks.

Alternate Method

Let the Maximum Marks be M.

⇒ Pass Marks = 30% of M + 50 = 42% of M − 58

⇒ 42% of M − 30% of M = 58 + 50

⇒ 12% of M = 108

⇒ M = (108 ÷ 12) × 100 = 900

⇒ Pass Marks = (30 ÷ 100) × 900 + 50

⇒ Pass Marks = 270 + 50 = 320

∴ The correct answer is 320 marks.

Additional Information

Pass Percentage Formula

Pass Percentage = (Pass Marks ÷ Maximum Marks) × 100. In this case, (320 ÷ 900) × 100 ≈ 35.55%.

Percentage Change

When comparing two scenarios, the difference in percentage points corresponds directly to the absolute difference in values if the base (Maximum Marks) remains constant.

The correct answer is Corporation Tax.

Key Points

• Corporation Tax or Corporate Tax is a direct tax levied on the net income or profit of a corporate entity from their business, foreign or domestic.
• The rate at which the tax is imposed as per the provisions of the Income Tax Act, 1961 is known as the Corporate Tax Rate.
• The Corporate Tax rate is based on a slab rate system depending on the type of corporate entity and the different revenues earned by each of corporate entity.
• Companies that are registered in India under the Companies Act 1956, both private and public, are subject to pay corporate tax.
• Corporate tax is payable by private and public firms incorporated in India under the Companies Act.

Additional Information

The correct answer is Gelatin.

Key Points

• Fining is a winemaking process that aims to clarify and stabilize the wine.
• A fining agent is a range of special materials added to the juice that enables the process of fining.
• Because of fining, the wine is less likely to become hazy or cloudy after bottling and therefore more visually appealing.
• Fining also removes hydrogen sulfide and bitter flavors.
• The most common time a fining agent is added to wine is right after the fermentation has ended or a few days before bottling.
• Some common Fining Agents are- 
• Gelatine
• Isinglass
• Egg white (egg albumen)
• Casein
• Skim milk
• Bentonite
• Carbon

Seven friends, P, Q, R, S, T, U and V, are sitting in the same line in a class.

All are facing the teacher.

1. Q is third to the left of S.
2. T and S are sitting at the corners.
3. P is between T and V.
4. R is between U and Q.   

Clearly, Q is sitting third to the right of T.

Hence, ‘Q’ is the correct answer.

Formula Used:

Average Speed = 2ab/(a + b)

Applicable when one travels at speed a for half the distance and speed b for the other half of the distance.

In this case, the average speed is the harmonic mean of the two speeds. On similar lines, you can modify this formula for one-third distance.

Calculation:

Using the above formula - 

⇒ a = 10 km/hr, b = 15 km/hr

⇒ Average speed = \(\frac{2\times 10\times 15}{10+15}\) = 12 km/hr

∴ The correct answer is 12km/hr 

Additional Information

1. Average Speed = (a + b)/2

Applicable when one travels at speed a for half the time and speed b for another half of the time.

In this case, the average speed is the arithmetic mean of the two speeds. 2. Average Speed = 3abc/(ab + bc + ca)

Applicable when one travels at speed a for one-third of the distance, at speed b for another one-third of the distance, and at speed c for the rest of the one-third of the distance.

The correct answer is Central - Nagpur.

Key Points

• Central Railway is indeed headquartered in Mumbai and not Nagpur. Therefore, the correct answer is: Central Railway - Mumbai

Additional Information

List of IR Zones available

The correct answer is Both A and B is true

Key Points

• A) Calcium is present in S-block of the periodic table.
• This statement is True.
• Calcium (Ca) is an alkaline earth metal with the atomic number 20.
• It is located in Group 2 of the periodic table, which is part of the S-block.
• The S-block consists of Groups 1 and 2 (alkali and alkaline earth metals).
• B) Metals comprise more than 78% of all known elements and appear on the left side of the Periodic Table.
• This statement is True.
• Metals make up about 80% of the known elements in the periodic table.
• They are primarily found on the left and centre of the periodic table, including the S-block, D-block, and part of the P-block.
• C) d- Block elements are also known as inner-transition electrons.
• This statement is False.
• d-block elements are commonly known as transition metals, not inner-transition metals.
• The inner-transition elements refer to the f-block elements, which include the lanthanides and actinides.
• Hence Both  A and B are true

Additional Information

• Of the known elements in the periodic table, only 11 are gases under normal atmospheric conditions.
• These gases are hydrogen, nitrogen, oxygen, fluorine, chlorine, helium, neon, argon, krypton, xenon and radon.
• The periodic table is managed by the International Union of Pure and Applied Chemistry, or IUPAC.
• The modern periodic table sorts the elements according to increasing atomic number instead of increasing atomic mass.
• There are 118 elements in a periodic table.
• There are seven periods and eighteen groups in the modern periodic table.

Given assertion (A): Penguins are birds, found in the hottest regions of the earth.

Explanation: Penguins are birds but they are found in the coldest regions of the earth so the given assertion is false.

Given Reason (R): Birds in hot regions do not have wings.

Explanation: The above reason is not true. Birds in hot regions can have wings.

Hence both A and R are false.

Given,

Third proportional to 3 and 12 be x

The mean proportion of 16 and 4 is y

Formula:

Mean proportion of x and y = √xy

The third proportion of a and b = b²/a

Calculation:

Third proportional to 3 and 12 = (12 × 12)/3 = 48

Mean proportion of 16 and 4 = √(16 × 4) = 8

x ∶ y = 48 ∶ 8 = 6 ∶ 1

∴ The ratio of x and y is 6 ∶ 1.

Shortcut TrickMean proportion of x and y = √xy and Third proportion of a and b = b2/a

x : y = √( 3× 12) : \(\frac{4^2}{16}\)

x : y =  6 : 1

The correct answer is Gautam Adani

Key Points

• Gautam Adani and family have topped the 2024 Hurun India Rich List.
• Adani's wealth surged by 95%, reaching Rs 1,161,800 crore.
• Mukesh Ambani is the second wealthiest individual on the list.
• Adani’s significant wealth increase is attributed to a rise in share prices of Adani Group companies.

Additional Information

• Mukesh Ambani: Previously held the top position, but is now second on the list with a wealth of Rs 1,014,700 crore.
• Shiv Nadar: Founder of HCL Technologies, now in third place with a wealth of Rs 314,000 crore.
• Cyrus S. Poonawalla: Holds the fourth position, known for his contributions to the Serum Institute of India.
• The Hurun India Rich List has grown to include 1,539 individuals with a net worth of over Rs 1,000 crore each, showcasing a significant rise in wealth among India's elite.

The correct answer is Nitrogen (N).

Key Points

• Nitrogen (N) is not a noble gas; it is a diatomic molecule in its natural form and makes up around 78% of the Earth's atmosphere.
• Noble gases are a group of chemical elements with similar properties under standard conditions: they are all odorless, colorless, monatomic gases with very low chemical reactivity.
• Argon (Ar), Neon (Ne), and Helium (He) are all noble gases, belonging to Group 18 of the periodic table, also known as the noble gas group.
• Nitrogen is located in Group 15 of the periodic table and is known for forming strong triple bonds in diatomic N₂ molecules, contributing to its inertness under normal conditions.

Additional Information

• Noble Gases
• Noble gases include Helium (He), Neon (Ne), Argon (Ar), Krypton (Kr), Xenon (Xe), and Radon (Rn).
• They are characterized by their full valence electron shell, which makes them very stable and unreactive.
• They are used in various applications such as lighting (Neon lights), welding (Argon), and even in medical fields (Helium for respiratory treatments).
• Due to their inert nature, they do not easily form compounds, making them useful in environments where reactions are undesirable.
• Nitrogen
• Nitrogen is a non-metal element with the symbol N and atomic number 7.
• It is essential for life, being a critical component of amino acids and nucleic acids (DNA and RNA).
• Nitrogen is largely inert due to the strong triple bond in N₂ molecules, requiring high energy to break.
• It is used in various industrial processes, including the production of ammonia for fertilizers through the Haber process.

Given: A, B, C, D, E and F live on six different floors of the same building. 

1. A lives on an odd numbered floor but not 3.

2. The sum of floors on which C and A live is 4.

Therefore, A lives on Floor 1 and C lives on Floor 3.

3. The sum of floors on which D and E live is 10. (4, 6) or (6, 4)

4. Only 3 people live between E and F.

case 1: E is on Floor 4. If 3 people live between E and F, then F must be on Floor 1. But A is already on Floor 1. So, this subcase is not possible.

case 2: E is on Floor 6. If 3 people live between E and F, then F must be on Floor 2. This is possible.

Therefore, E lives on Floor 6 and F lives on Floor 2.

5. B lives immediately above D.

Therefore, One person lives below F.

Hence, the correct answer is "Option 2".

Given:

Length = 25 cm, Breadth = 35 cm, and Height = 35 cm

Formula used:

Total surface area of cuboid = 2(lb + bh + lh)

Calculation:

Total surface area of cuboid = 2(lb + bh + lh)

⇒  2 × (25 × 35 + 35 × 35 + 25 × 35)

⇒  2 × (875 + 1225 + 875)

⇒  2 × 2975 = 5950 cm

∴ The total surface area of a closed cuboid is 5950 cm.

The correct answer is option 3 i.e., Dhupgarh Peak.

• Dhupgarh Peak is the highest peak in Madhya Pradesh.
• The Dhupgarh Peak is located in Pachmarhi in south-central Madhya Pradesh.
• Kaimur Range is the eastern portion of the Vindhya Range.
• It extends from the Jabalpur district of Madhya Pradesh to Sasaram in Rohtas district of Bihar.
• It passes through the Rewa and Mirzapur divisions.
• Mount Logan is the highest mountain in Canada.

The correct option is Fe.

Key Points

• Iron metal has the symbol Fe.
• It does not react with both hot and cold water.
• Fe only reacts with steam.
• In reaction with steam, iron produces iron oxide and hydrogen gas.
• 3Fe (s) + 4H₂O (g) → Fe₃O₄ (s) + 4H_{2_​}

Additional Information</sub>

Calcium

• Calcium metal has the symbol Ca.
• It can react with both hot and cold water.
• It can produce calcium hydroxide and hydrogen gas in reaction with water.

Magnesium

• Magnesium metal has the symbol Mg.
• It can react vibrantly with hot water.
• It can produce magnesium hydroxide and hydrogen gas in reaction with hot water.

Sodium

• Sodium metal has the symbol Na.
• Na is hygroscopic in nature and stored in kerosene.
• It can react with both hot and cold water.
• It can produce sodium hydroxide and hydrogen gas in reaction with water.

Words which can be formed are:

1. PERSONAL → DISPROPORTIONATE → Can’t be formed as ‘L’ is missing.

2. DISPOSE → DISPROPORTIONATE → Can’t be formed as one more ‘S’ is required.

3. PROPONENT→ DISPROPORTIONATE → Can’t be formed as one more ‘N’ is required.

4. STATION → DISPROPORTIONATE → Can be formed

Hence, ‘STATION’ is the correct answer.

Given :

The cost of fencing the field per meter = Rs. 120

Area of a rectangular piece of land = 1600 cm²

Length of the rectangular field = 80 cm

Formula used :

Perimeter of rectangular field = 2(l + b)

Area of rectangular field = l x b

Calculation :

Breadth of rectangular field = \(\dfrac{1600}{80}\) = 20 cm

Perimeter of rectangular field = 2(20 + 80) = 200 cm

Cost of fencing the field = 120 x 200 = Rs. 24000

∴ The answer is Rs. 24000 .

The correct answer is Jabalpur.

Key Points

• Jabalpur district of Madhya Pradesh has the highest literacy rate (81.07%) among all the districts of the state as per the Census 2011.
• The top five districts with the highest literacy rate in MP are - Jabalpur (81.07%), Indore (80.87%), Bhopal (80.37%), and Balaghat (77.09%), Gwalior (76.65%).
• The overall literacy rate of the state of Madhya Pradesh as per the Census 2011 was 69.32%.

Additional Information

• The male literacy rate was 78.73% whereas the female literacy rate was 59.24 %.
• The total number of literates in the state stood at 42,851, 169.
• The districts with the lowest literacy rates in Madhya Pradesh are - Alirajpur (36.1%), and Jhabua (43.3%).

The correct answer is Chlorine.

Key Points

• Calcium hypochlorite is the chemical term for bleaching powder and its chemical formula is \(CaOCl_2 \).
• Bleaching powder is a pale yellowish powder that dissolves in water and has a strong chlorine odour.
• Chlorine gas, which is a byproduct of the chlor-alkali process, reacts with dry slaked lime to create bleaching powder.
• Thus, chlorine gas is used for the manufacturing of bleaching powder.
• Bleaching powder has its applications as a bleaching agent, oxidizing agent, and disinfectant.

Additional Information

• Nitrogen:
• With its application in fertilizers, nitric acid, nylon, dyes, and explosives, nitrogen is crucial to the Cl.
• Sulphur:
• One of the most significant components used as an industrial raw material is sulphuric acid, which is the principal derivative of sulphur.
• Sulfur is also used to make fertilisers, batteries, detergents, fungicides, matches, and pyrotechnics.
• Oxygen:
• The majority of combustion processes require oxygen, an element that belongs to the periodic table's chalcogen group.

The logic followed here is:

Logic: Letters are arranged in Alphabetical order.

'SEARCH' is written as 'ACEHRS',

Similarly, for 'IMPORT'

So, 'IMPORT' will be coded as 'IMOPRT'.

Hence, the correct answer is "Option 3".

Formula Used:

sin30° = 1/2 and cos30° = √3/2

Calculation:

We have to find the value of \(\frac{sin 30^0 \ + \ cos 30^0}{cos 30^0 \ - \ sin 30^0}\)

On putting the value of sin30° and cos30° we get

⇒ \(\frac{\frac{1}{2} + \frac{√3}{2}}{\frac{√3}{2} - \frac{1}{2}}\)

⇒ \(\frac{√3 + 1}{√3 - 1}\)

On rationalizing we get 

⇒ \(\frac{√3 + 1}{√3 - 1} \times \frac{√3 + 1}{√3+ 1} \)

⇒ \(\frac{(√3 + 1)^2}{(√3)^2 - 1^2}\)

⇒ \(\frac{3 + 1 + 2√3}{3 - 1}\)

⇒ \(\frac{4 + 2√3}{2}\)

⇒ 2 + √3

∴ The required value is 2 + √3.

The correct answer is Rajasthan.

• It is located on the north-western border of the state in Chambal valley.
• The district was formed in 1 November 1956.
• 22^nd May 1998, Sheopur, Karahal and Vijaypur tahsils were excluded from Morena district and a new district Sheopur was formed.

Key Points

• The river Chambal flows forming all northern boundaries of the district and divides Rajasthan and Uttar Pradesh from the district.
• The cities of Gwalior, Shivpuri and Bhind in Madhya Pradesh are located in the south-east, south and east respectively. While Dhaulpur and Karauli, and Sheopur of Rajasthan are located in the northwest and south-west respectively.
• Agra city of Uttar Pradesh is located northeast of the district.
• The National Chambal Sanctuary is located near the tripoint of Rajasthan, Madhya Pradesh and Uttar Pradesh.
• The Asan and Kunwari rivers are the important rivers located here.

The correct answer is (i) - (a), (ii) - (c), (iii) - (b), (iv) - (d).

Key Points

• Alkali metal:
• Group 1 elements in the periodic table, consist of lithium, sodium, potassium, rubidium, cesium, and francium.
• They are highly reactive, easily losing an electron to form a positive ion, and are stored under oil or inert gas to prevent reactions with air and moisture.
• Alkali metals have low densities, and low melting points, and are good conductors of heat and electricity.
• They have various uses, including in batteries, alloys, and as a coolant in nuclear reactors.
• Alkaline earth metal:
• Group 2 elements in the periodic table, including beryllium, magnesium, calcium, strontium, barium, and radium.
• They are also reactive and easily lose two electrons to form a positive ion but are less reactive than alkali metals.
• Alkaline earth metals have higher densities and melting points than alkali metals and are also good conductors of heat and electricity.
• They have many practical applications, such as in construction materials, alloys, and fireworks.
• Transition metal:
• Elements in the d-block of the periodic table, consisting of groups 3-12, including iron, copper, silver, and gold.
• They have multiple valence electrons and can form various oxidation states, giving them the ability to form complex compounds and exhibit colourful properties.
• Transition metals have high densities, and melting points, and are good conductors of heat and electricity.
• They have numerous applications in technology, such as in catalysts, electronic devices, and construction materials.
• • Group 18 elements in the periodic table, consisting of helium, neon, argon, krypton, xenon, and radon.
• They are characterized by their extremely low reactivity and are usually found as monatomic gases in the atmosphere.
• Noble gases have complete valence electron shells, making them chemically stable and unreactive with other elements.
• They have applications in lighting, cryogenics, and as a shielding gas in welding.

According to the given information:

Let solve each of them

1. 7 + 56 × 2 ÷ 28 = 11

= 7 + 56 × \(\mathbf {\frac{1}{14}}\)

= 7 + 4

= 11

2. 36 ÷ 6 × 2 + 4 = 19

= 6 × 2 + 4

= 16 ≠ 19

3. 64 ÷ 8 × 3 + 6 = 72

= 8 × 3 + 6

= 30 ≠ 72

4. 36 ÷ 9 + 4 × 2 = 14

= 4 + 8

= 12 ≠ 14

Hence, 7 S 56 P 2 R 28 = 11 is the correct answer.

Given:

PR : RQ = 3 : 5

QR = 20 cm

Concept used:

In a ΔABC, if P and Q are the mid-points of AB and AC respectively, then 

PQ||BC

ΔAPQ ~ ΔABC

PQ = \(1\over2\) BC

Calculation:

Let the length of PQ be x

PR : RQ = 3 : 5

x × \(5\over8\) = 20 

⇒ x = 20 × \(8\over5\) = 32 cm

PQ = 32 cm

PQ = \(1\over2\) BC

⇒ BC = 2 × PQ

⇒ BC = 2 × 32 = 64 cm

∴ The length of BC is 64 cm

The correct answer is ​Uttarakhand High Court

In News

• The Centre has notified the appointment of Ajay Digpaul and Harish Vaidyanathan Shankar as judges to the Delhi High Court and Ashish Naithani as a judge to the Uttarakhand High Court.

Key Points

• These appointments were recommended by the Supreme Court Collegium: Delhi HC appointments in August 2024 and Uttarakhand HC in December 2024.
• Ajay Digpaul has 31 years of legal experience in various fields, including civil, criminal, and constitutional law.
• Harish Vaidyanathan Shankar has contributed 180 reportable judgments, demonstrating expertise in law.
• Ashish Naithani, a judicial officer, takes up his new role at the Uttarakhand HC following confirmation in December 2024.
• The notification for two other proposed judges for the Delhi HC, Tejas Karia (arbitration law) and Shwetasree Majumder (IPR law), is still awaited.
• As of June 2024, there were 345 judicial vacancies across India's high courts, highlighting the importance of these appointments.

The correct answer is Graphene.

• Graphene is an allotrope of carbon consisting of a single layer of atoms arranged in a two-dimensional honeycomb lattice.
• Graphene is the thinnest material known to man at one atom thick, and also incredibly strong about 200 times stronger than steel.
• Graphene is an excellent conductor of heat and electricity and has interesting light absorption abilities.

Additional Information

Important Points

The pattern followed here is:

Pointing towards a lady in a photo, Rinku said, "She is my son's sister's mother".

Clearly, the lady is the wife of Rinku.

Hence, the correct answer is "Wife".

Shortcut TrickLength of 3^rd side = 90 - (40 + 41) = 9 cm

We know that (9, 40, 41) is a Pythagorean triple,

hence, the triangle is a right-angle triangle with hypotenuse = 41 cm

Area of a right angle triangle = (Base × Height)/2

⇒ Area of Δ = (40 × 9)/2 = 180 cm²

∴ The correct answer is 180 cm².

Given:

The sides of a triangle are 40 cm and 41 cm

The perimeter of triangle = 90 cm

Formula used:

Area of triangle = √\(√{s(s - a)(s - b)(s - c)}\)

Where a, d and c sides of triangle 

s = ( a+ b +c)/2

Calculation:

Perimeter of triangle is 90 

⇒ 90 = a + b + c

⇒ 90 = 81 + c

⇒ 9 = c

Semi perimeter of triangle (s) = 90/2 = 45

Area of the triangle = \(√{45(45 - 40)(45 - 41)(45 - 9)}\)

⇒ √32400

⇒ 180 cm²

∴ Area of the triangle is 180 cm²

The correct answer is June 21.

Key Points

• Since 2015, June 21 has served as the yearly global date for the International Day of Yoga.
• In ancient India, a practice known as yoga was developed that combines physical, mental, and spiritual aspects.
• On June 21, 2015, the first International Day of Yoga, with the theme "Yoga for Harmony and Peace," was officially launched by the honourable Prime Minister Shri Narendra Modi.
• Yoga for mankind was the theme of the 2022 International Day of Yoga.

Additional Information

• June 20 is celebrated as World Refugee Day.
• June 21 is celebrated as World Hydrography Day, International Yoga Day,  Summer Solstice.
• June 23 is celebrated as International Olympic Day, United Nations Public Service Day and International Widow's Day.

The logic followed here is:​

Hence, "Option 2" is the correct answer.

Given:

x – 1/x = 4

Formula used:

(a – b)³ = a³ – b³ – 3ab(a – b)

Calculation:

Our given expression is x – 1/x = 4

Taking cube on both the sides,

(x – 1/x)³ = 4³

⇒ x³ – 1/x³ – 3x × 1/x(x – 1/x) = 64

⇒ x3 – 1/x3 – 3 × 4 = 64      ----(∵ x – 1/x = 4)

⇒ x3 – 1/x3 = 64 + 12

⇒ x3 – 1/x3 = 76

∴ The value of the given expression is 76

The correct answer is Nine.

Key Points

• Congress Session in Uttar Pradesh
• ​There were Nine sessions of Congress held in Uttar Pradesh.
• The first session of Congress in Uttar Pradesh was held in Allahabad.
• It was the 4^th Congress Session held in 1888.
• President: George Yule
• George Yule was the first English President of this session.

Additional Information

• Congress Session in Uttar Pradesh

• There was a total of 3 sessions of Congress held in Lucknow.

Important Points

• The Indian National Congress was founded by AO Hume on 28^th December 1885. 
• Before independence, 54 sessions of Congress were held in India.
• The first session was held in  Bombay in the year 1885.
• President: WC Banerjee
• The last session of Congress was held in Meerut in the year 1946.
• President: JB Kriplani

Statement:

Floods caused widespread damage to crops in Odisha this year.

Arguments:

I. There has been a bumper production of food grains in Odisha this year - False (Flood causes damage, so this argument is totally vague according to the statement).

II. The number of crop insurance claims has seen a significant increase in Odisha this year - True (Flood causes damage to the crop which in turn affect directly on the number of crop insurance claims so this argument strengthens the statement).

Thus, argument I weakens, while argument II strengthens the statement.

Hence, the correct answer is Option 1.

Given:

a + b + c = 0 and a³ + b³ + c³ = 1260

Formula used:

a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – ac – bc)

And, If a + b + c = 0 then a³ + b³ + c³ = 3abc

Calculation:

a³ + b³ + c³ = 3abc

⇒ 1260 = 3abc

⇒ abc = 420

⇒ 9abc = 420 × 9 = 3780

∴ The value of 9abc is 3780

The correct answer is option 4, i.e. Krishna Deva Raya.

• Krishna Deva Raya of the Vijayanagara Empire was known as Andhra Bhoja. He was a great patron of literature and art.
• Deva Raya I and Deva Raya II belonged to the Sangama dynasty.
• Vira Narasimha Raya founded the Tuluva dynasty.

**Additional details about Krishna Deva Raya:**​

Option 2, Only assumption II is implicit. 

The statement quotes a manager who instructs his assistant to send emails to all the clients.

From what is supplied it cannot be assumed that the assistant knows all the clients in person. To email, you need not know him in person. Hence, assumption I is not implicit.

It is one of the duties of the assistant to follow the instructions given by his manager. 

Thus, the manager would believe that his assistant will do as asked of him.

Therefore, assumption II is implicit.

Hence,option 2 is correct.

Given:

A's height = 25% less than that of B

Calculation:

Let the height of B = 100 

⇒ A's height = 100 - 100 × 25/100 

⇒ A's height = 75 

Difference between the height of B and A = 100 - 75 = 25 

∴ The required percentage = 25/75 × 100 

⇒ 33.33%

Shortcut Trick 25% = 25/100 = 1/4 

⇒ A/B = 3/4 

∴ The required percentage = (4 - 3)/3 × 100 

⇒ 33.33%

The correct answer is Medicine.

Key Points

• Presented by the President, the Bidhan Chandra Roy Award is an annual award that is given by the Medical Council of India in each of the following categories:
• Medical man-cum-Statesman
• Statesmanship of Highest Order in India
• Eminent Person in Philosophy
• Eminent Medical Person
• Eminent Person in Science
• Eminent Person in Arts
• The award is given every year in New Delhi on July 1, National Doctor's Day.