MP Police Constable : (17 Nov 2025, Shift 1 and Shift 2) Memory-Based Paper (Previous Year Paper)

The correct answer is Indore.

• Indore:
• It is also known as mini Bombay, located in the state of Madhya Pradesh.
• It is the cleanest city in India, under the Swachh Bharat Mission.
• The biggest indoor stadium is located at this place.

Immediate Payment Service (IMPS) is an instant interbank electronic fund transfer service through mobile phones. It is also being extended through other channels such as ATM, Internet Banking, etc.

The pattern followed here is as follows,

similarly,

Note:

as per pattern followed in the series, we see the elements in the 1^st step shift by +1, then in the 2^nd step by +2. There is a possibility that in the 3^rd step it will be shifted by +3 but as per the given options we seen option D is most suitable were elements are shifted by again +1. In all the other option the 1^st elements is not shifted only thus they are eliminated.

Hence, “option figure D” is the correct answer.

Shortcut Trick

Income = Expenditure + Savings

Given E : S = 3 : 1 ⇒ Income (I) = 3 + 1 = 4 parts

Using the weighted average equation: E × E_inc + S × S_inc = I × I_inc

⇒ 3 × E_inc + 1 × 20% = 4 × 25%

⇒ 3 × E_inc + 20 = 100 ⇒ 3 × E_inc = 80 ⇒ E_inc = 80/3% = 26 (2/3)%

∴ The correct answer is 26 (2/3)%.

Alternate Method

Given:

Ratio of expenditure to savings = 3 : 1

Increase in income = 25%

Increase in savings = 20%

Formula Used:

Income = Expenditure + Savings

Percentage Increase = (Increase ÷ Original Value) × 100

Calculations:

⇒ Let original expenditure be 300 and original savings be 100.

⇒ Original Income = 300 + 100 = 400

⇒ New Income = 400 + (25% of 400) = 400 + 100 = 500

⇒ New Savings = 100 + (20% of 100) = 100 + 20 = 120

⇒ New Expenditure = New Income − New Savings

⇒ New Expenditure = 500 − 120 = 380

⇒ Increase in Expenditure = 380 − 300 = 80

⇒ Percentage increase in Expenditure = (80 ÷ 300) × 100

⇒ Percentage increase = 80/3 = 26 (2/3)%

∴ The correct answer is 26 (2/3)%.

Additional Information

Income, Expenditure & Savings Rule

Income is the sum of expenditure and savings (I = E + S). Any percentage change in income is distributed between expenditure and savings based on their respective proportional weights.

Weighted Average Method

When a value is split into two parts, the net percentage change can be determined using: Total % Change = (Part1 × %Change1 + Part2 × %Change2) ÷ (Part1 + Part2). This method offers the fastest way to solve mixture and distribution type percentage problems.

Percentage Change Formula

Percentage Change = [(Final Value − Initial Value) ÷ Initial Value] × 100. Always make sure to use the original or old value as the base denominator.

The correct answer is Forest.

Key Points

• The Concurrent List in the Indian Constitution includes subjects on which both the central and state governments can legislate.
• Forests are included in the Concurrent List, allowing both the central and state governments to make laws regarding their management and conservation.
• This inclusion helps ensure a unified approach to forest conservation across the country while allowing states to address local issues.
• Other subjects in the Concurrent List include criminal law, marriage and divorce, bankruptcy and insolvency, and education.

Additional Information

• Union List:
• It comprises subjects on which only the central government can legislate.
• Examples include defence, foreign affairs, atomic energy, and banking.
• State List:
• It includes subjects on which only state governments can legislate.
• Examples include police, public health, agriculture, and fisheries.
• Concurrent List:
• This list contains subjects on which both the central and state governments can legislate.
• In case of a conflict between central and state laws, the central law prevails.
• Seventh Schedule:
• The division of powers between the central and state governments is outlined in the Seventh Schedule of the Indian Constitution.
• It consists of three lists: Union List, State List, and Concurrent List.

The correct answer is Iris.

Key Points

• Iris part of eye controls size of a pupil.
• Iris is a dark muscular diaphragm that controls the size of the pupil.
• The pupil is a small empty space surrounded by the iris.
• The pupil regulates and controls the amount of light entering the eye.
• The iris contracts and relaxes to regulate the size of the pupil.
• When it is dark, the pupil expands to allow more light to enter the eye.
• Iris controls the pupil which in turn controls the amount of light entering the eye.

Additional Information

According to the given information:

Eight persons P, Q, R, S, T, U, V and W are sitting in a row facing towards north (not necessarily in the same order).

1. Only two persons sit between R and Q.

2. Only two persons sit between R and S.

3. P is the neighbour of Q.

4. P is the neighbour of W. 

5. V sits third to the right of P. Here case 1 gets eliminate.

6. T is the neighbour of S but not of V.

Thus, final arrangement:

So, W sits second to the left of V.

Hence, the correct answer is "W".

Given:

A number divided by 114 leaves a remainder of 14.

Concept Used:

Dividend = Divisor × quotient + remainder

Calculation:

Let the number be N.

Now, According to the question

⇒ N = 114q + 14

⇒ N = (19 × 6)q + 14

Now, on dividing the N by 19 we get,

Here, (19 × 6)q is completely divisible by 19 and on dividing 14 by 19 we get the remainder 14.

∴ The remainder when the same number is divided by 19 is 14.

The correct answer is Two.

Key Points

• Khayal singing is classified into two types: Bada Khayal and Chhota Khayal.
• Bada Khayal (literally "big khayal") is performed in a slower tempo and focuses on elaborate improvisation and melodic exploration.
• Chhota Khayal (literally "small khayal") is faster-paced and serves as a lighter, more concise counterpart to Bada Khayal.
• Both types are integral to the Hindustani classical music tradition and are used to showcase the artist's technical skills and emotional expression.
• Khayal singing emphasizes intricate ornamentation, such as taans, alap, and sargams, making it one of the most expressive forms of Indian classical music.

Additional Information

• Khayal is a genre of Hindustani classical music characterized by its improvisational nature and lyrical compositions.
• The word "Khayal" originates from Persian and means "imagination" or "thought," reflecting its creative and expressive style.
• Khayal compositions are usually based on ragas, which are melodic frameworks in Indian classical music.
• It gained prominence during the Mughal era and was further developed by musicians like Sadarang and Adarang, who composed many of its foundational works.
• Khayal performances are often accompanied by instruments like the tabla (percussion) and harmonium (melody support), along with a tanpura providing a continuous drone.

The correct answer is Larynx.

Key Points

• The larynx is also known as the voice box.
• It is an organ located in the anterior neck.
• Functions of the larynx include:
• Production of sound or phonation
• Control of ventilation
• The cough reflex
• Protection of the lower respiratory tract
• ​The larynx is covered anteriorly by the infrahyoid muscles, and laterally by the lobes of the thyroid gland.
• The structure of the larynx is cartilaginous and is held by a series of ligaments and membranes.

Additional Information

Explanation:

From the given information:

Vimal and Kamal are good at piano and guitar. Rima and Sima are good at hockey and guitar. Rima, Komal and Rina are good at hockey and chess. Rina and Rima are good at piano and badminton. Komal and Sobha are good at chess and piano.

From the table drawn we can see that,

Rina is good at hockey, chess and badminton but not guitar.

Hence the correct answer is option 1.

Given

ΔABC is an equilateral Δ of side 2a.

Concept used

Altitude of Equilateral triangle = \(\frac{{√ 3 }}{2}a\)

Calculation

Let the side of the equilateral triangle be "a"

Altitude = \(\frac{{√ 3 }}{2}\times 2a\)

Altitude = √3a

The correct answer is ​Indore.

Key Points

Agriculture Institutes and Centres in Madhya Pradesh

The correct answer is Ammeter.

Key Points

• Ammeter is an instrument for measuring either direct or alternating electric current, in amperes.

• An ammeter can measure a wide range of current values because at high values only a small portion of the current is directed through the meter mechanism.

• Difference between Ammeter & Galvanometer:

Additional Information

The correct mirror image of the given figure is:

Hence, the correct answer is "Option 3".

Given:

Height of tower = \(200\sqrt3\) m

Base distance from angle of elevation to tower = 200 m

Formula used:

tan(θ) = \(\frac{Height }{ distance\ from\ tower's\ base}\)

Where θ = angle of elevation.

Calculation:

Let the angle of elevation be θ.

According to the question,

tan(θ) = \(\frac{Height }{ distance\ from\ tower's\ base}\)

⇒ tan(θ) = \(\frac{200\sqrt 3}{200}\)

⇒ tan(θ) = \(\sqrt 3\)

⇒ tan(θ) = tan(60°)

⇒ θ = 60°

Hence, the required angle of elevation is 60°.

The Correct Answer is David Dhawan.

In News

• 69^th edition of the Filmfare Awards 2024 held in Gujarat.

Key Points

• David Dhawan was awarded the Lifetime Achievement Award at the 69^th Filmfare Awards 2024.
• David Dhawan (born Rajinder Dhawan; 16 August 1951) is an Indian director of Hindi films.
• A member of the Dhawan family, he has directed over 42 films.
• The 1993 action thriller Aankhen and 1999 comedy Biwi No.1 earned him nominations for the Filmfare Award for Best Director.

Additional Information

CONCEPT:

• Rheostat: The variable resistor is a type of resistor whose electrical resistance value can be adjusted as per our demand. This type of resistor is called a rheostat.
• This is not temperature sensitive.

Explanation:

• In an electric circuit, Rheostat is often used to change the resistance in the circuit.
• A rheostat is a variable resistor that controls the flow of electric current by decreasing or increasing the resistance manually.
• The flow of electric current in a circuit can be controlled if we place a rheostat in the circuit.
• It finds its usage in the applications where a high current or voltage is required.

Additional Information

The below fig shows representation the structure of rheostats

The logic followed here is:

Logic: (1^st number × 3^rd number) + 4 = 2^nd number.

Now,

For, (12, 112, 9)

⇒ (12 × 9) + 4 = 108 + 4 = 112.

For, (6, 28, 4)

⇒ (6 × 4) + 4 = 24 + 4 = 28.

For, (18, 94, 5)

⇒ (18 × 5) + 4 = 90 + 4 = 94.

Hence, the correct answer is "Option 4".

Given:

12 - [3 + {4 of 2 ÷ 8 - (8 - 6 ÷ 3)}]

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

12 - [3 + {4 of 2 ÷ 8 - (8 - 6 ÷ 3)}]

⇒ 12 - [3 + {8 ÷ 8 - (8 - 2)}]

⇒ 12 - [3 + {1 - 6}]

⇒ 12 - [3 - 5]

⇒ 12 + 2

⇒ 14

∴ The value of 12 - [3 + {4 of 2 ÷ 8 - (8 - 6 ÷ 3)}] is 14.

The correct answer is Indore.

Key Points

• According to census 2011, Indore is the largest district of Madhya Pradesh in terms of population.
• Indore has a population of 3,276,697.
• The sex ratio of the Indore district is 928.
• The literacy rate is 80.87%.
• The least populated district of Madhya Pradesh is Harda with a population of 570,465.

Additional Information

• As per the Census 2011, Madhya Pradesh is divided into 50 districts.
• Madhya Pradesh has a total population of 72,626,809 of which males were 37,612,306 while females were 35,014,503.
• The total area of Madhya Pradesh is 308,252 km².
• The population Density of Madhya Pradesh is 236 per km² which is lower than the national average of 382 per km².
• The literacy rate of Madhya Pradesh is 69.32%.
• The sex ratio of Madhya Pradesh is 931.

The correct answer is Ear.

• The Ears perform two sensory functions, hearing and maintenance of body balance.

The ear plays an essential role in maintaining the body's balance. This balance system of the body is often known as the vestibular system, and it's primarily located in the inner ear, specifically in the structures called the semicircular canals and the otolithic organs (the utricle and the saccule).

• The Semicircular Canals: These canals are filled with a fluid called endolymph and contain hair cells (sensory receptors). Each of the three semicircular canals corresponds to a different plane of motion: one for horizontal (left and right), one for vertical (up and down), and one for tilting movements. When the head moves, fluid inside the semicircular canals moves and stimulates the hair cells. The hair cells then send signals about the movements to the brain.
• The Otolithic Organs (the Utricle and the Saccule): These organs help to detect linear movements (forward, backward, sideways) and also the gravity. They contain tiny calcium carbonate crystals (otoconia) over a layer of hair cells. When the head moves, these crystals also move, causing the hair cells to bend and thus send signals to your brain about the head and body's motion and position.​

Key Points

Link: https://www.britannica.com/science/ear/The-physiology-of-balance-vestibular-function

The logic follows here is :-

Family Chart :

Family Tree :

Thus, the correct answer is 'Son'.

Calculation:

If (a + b + c) ≠ 0,

then (a + b + c) (a2 + b2 + c2 - ab - bc - ca) is = a3 + b3 + c3 - 3abc

∴ The correct option is 3

The correct answer is 29^th June.

Key Points

• Every year 29 June is celebrated as National Statistics Day in India.
• The day is celebrated in honour of the remarkable contribution of the famous Indian scientist and statistician PC Mahalanobis in the field of economic planning and statistical development.
• Professor Prasanta Chandra Mahalanobis is considered the father of Indian statistics.
• The National Statistics Day was first celebrated on 29^th June 2007.
• The key contribution of PC Mahalanobis is known as "Mahalanobis distance'.
• The formula is used to find the distance between a point and a distribution, based on measurements in multiple dimensions.
• It is widely used in the field of cluster analysis and classification.

Additional Information

The correct answer is cohesive force.

• The force of attraction between the same kind of molecules is called the force of cohesion.
• The force of attraction between different kinds of molecules is called the force of adhesion.

Key Points

• The cohesion force of fine particles is important for the growth and strength of green granules.
• The former affects the size distribution of final granules formed, while the latter has a direct impact on the permeability of a packed granule bed.
• The cohesive forces between molecules down into a liquid are shared with all neighbouring atoms.

Additional Information

• Viscosity:
• Viscosity is the resistance of a fluid (liquid or gas) to a change in shape or movement of neighbouring portions relative to one another.
• ​Viscosity is a measure of a fluid's resistance to flow. The SI unit of viscosity is poiseuille (PI).
• Its other units are newton-second per square meter (N s m-2) or pascal-second (Pa s.). The dimensional formula of viscosity is (ML-1T-1).
• Surface tension:
• Surface tension is the tendency of fluid surfaces to shrink into the minimum surface area possible.​
• Surface tension is typically measured in dynes/cm, the force in dynes is required to break a film of length 1 cm.
• Adhesive force:
• The adhesion forces can be one of the results of electrostatic forces which are exerted on different substances.​
• Adhesion is generally the force of attraction present between the water molecules and the walls of xylem vessels.

The pattern followed is -

(6)² = 36

(3)³ = 27

Likewise,

(14)² = 196

(7)³ = 343

Thus, 36 : 27 : : 196 : 343

Concept used:

Volume of cone = 1/3 × πr²h

Calculation:

New radius of cone = r × 90/100 = 0.9r [ after 10% decrease ]

New height of cone = h × 140/100 = 1.4h [ after 40% increase ]

New volume of cone = 1/3 × π (0.9r)² × 1.1h = 1/3 × 0.81r² × 1.4h

Ratio of volume cone original to after increase

⇒ 1/3 × πr²h : 1/3 × 0.81r² × 1.4h 

⇒  1000 : 1134

Original volume of cone = 1000 unit 

Volume of cone after increase = 1134 unit

Volume increased by = 1134 - 1000 = 134

Volume increased by (in %) = 134/1000 × 100 = 13.4%

∴ Its volume increased by 13.4%.

The correct answer is Hoshangabad.

Key Points

• Pandit Harishankar Parsai
• He was born on 22^nd August 1924 in the Hoshangabad district. Hence, Option 2 is correct.
• He was a Hindi writer, noted satirist, and humorist of modern Hindi Literature.
• Harishankar Parsai was a Hindi writer.
• He was a noted satirist and humorist of modern Hindi literature and is known for his simple and direct style.
• He wrote Vyangya articles.
• He completed his M.A. in Hindi from R.T.M. Nagpur University
• He was known for his simple and direct style.
• He was honored with Sahitya Akademi Award in 1982, for his satire Viklang Shraddha Ka Daur.
• His major works include Rani Nagfani Ki Kahani, Tat Ki Khoj, Beimani Ki Parat, etc.
• He died on 10^th August 1995.

• Electric motor is a device that is used to convert electrical energy into mechanical energy.
• It was invented by Michael Faraday in 1821.

Given, 

Statements:

All folders are copies.

All books are folders.

No copies are pen.

The least possible Venn diagram is:

Conclusions:

1. No book is a pen. → True (As, All books are folders, All folders are copies and No copy is pen hence, books will not get shared by pen)
2. All books are copies. → True (As, All books are folders and All folders are copies hence all books are copies will be definite true)
3. Some copies are books. → True (As, All books are folders and All folders are copies hence some copies are definitely books)

Hence, all conclusions follow.

Given:

Age of Gyanendra : age of Arbind = 6 : 5

Gyanendra + Arbind = 55 years

Calculation:

According to the question:

⇒ (6 + 5) = 11 units = 55 years

⇒ 1 unit = 5 years

Age of Gyanendra = 6 units = 5 × 6 = 30 years

Age of Arbind = 5 units = 5 × 5 = 25 years

Gyanendra age after 7 years :  Arbind age after 7 years = (30 + 7) :  (25 + 7)

⇒ 37 : 32

∴ The correct option is 2.

The correct answer is: 'Sir Chimanlal Sitalvad, Pt. Jagat Narain, and Sir Sultan Ahmed'.

Key Points

• The Hunter Committee, also known as the Disorders Inquiry Committee, was set up in 1919 by the British government to investigate the Jallianwala Bagh massacre in Amritsar.
• This committee was formed following the widespread outrage and condemnation of the incident, where British troops under General Dyer fired upon a peaceful gathering, resulting in numerous deaths and injuries.
• The committee had a mix of British and Indian members to ensure a comprehensive and balanced investigation.
• The Indian members of the Hunter Committee were:
• Sir Chimanlal Sitalvad: A prominent lawyer and public figure in Bombay, he played a significant role in the legal and political circles of his time.
• Pt. Jagat Narain: An influential leader from Punjab, he was known for his involvement in social and political activities, particularly in the context of Indian nationalism.
• Sir Sultan Ahmed: A distinguished lawyer and politician from Bihar, he was actively involved in various movements and committees aimed at securing India's rights and justice.

Incorrect Options

• Surendra Nath Banerjee, Gokhale, and Dinshaw Wacha:
• These leaders were significant figures in the early Indian National Congress but were not part of the Hunter Committee.
• Surendra Nath Banerjee and Gopal Krishna Gokhale were known for their moderate stance in Indian politics, advocating gradual reforms.
• Dinshaw Wacha was a prominent member of the Congress and a social reformer.
• Ranade, Tilak, and Sir Chimanlal Setalvad:
• M.G. Ranade and Bal Gangadhar Tilak were influential leaders in the late 19^th and early 20^th centuries but were not members of the Hunter Committee.
• Tilak was known for his extremist views and demand for immediate self-rule.
• Sir Chimanlal Setalvad was indeed a member, but this option incorrectly pairs him with Ranade and Tilak.
• Lala Harkishan Lal, Pt. Rambhuj Dutt Chaudhry, and Duni Chand:
• These individuals were notable leaders and activists but were not members of the Hunter Committee.
• Lala Harkishan Lal was a prominent businessman and politician in Punjab.
• Pt. Rambhuj Dutt Chaudhry was a notable figure in the Indian independence movement.

Hence, the correct members of the Hunter Committee from the provided options are Sir Chimanlal Sitalvad, Pt. Jagat Narain, and Sir Sultan Ahmed.

Additional Information

• Background of the Hunter Committee:
• The Hunter Committee was established in response to the Jallianwala Bagh massacre, which occurred on April 13, 1919, in Amritsar, Punjab.
• This incident was a turning point in the Indian independence movement, leading to widespread condemnation of British actions and increased support for the nationalist cause.
• The committee was tasked with investigating the events leading up to the massacre, the actions of General Dyer, and the broader implications for British rule in India.
• Impact of the Hunter Committee Report:
• The report of the Hunter Committee was controversial, with differing conclusions from the British and Indian members.
• The British members largely justified the actions of General Dyer, while the Indian members condemned the brutality and called for accountability.
• The divergent views highlighted the deep divisions and growing discontent among Indians regarding British rule.

The correct answer is Redox.

Key Points

• Redox reactions include a change in the oxidation state of the substrate.
• Loss of electrons or a rise in the oxidation state are both examples of oxidation.
• Gaining electrons or lowering the oxidation state are both considered to be reductions.
• In the reaction, CuO + H₂ → Cu + H₂O, Cu is reduced whereas Hydrogen is oxidized.
• Redox reactions fall into one of two categories:
• Electron-transfer:
• Only one electron (typically) moves from the reducing agent to the oxidant during an electron transfer.
• It is common to talk about this kind of redox reaction in terms of redox couples and electrode potentials.
• Atom transfer:
• A transfer of an atom occurs when **one substrate gives way to another.**​

Additional Information

• Oxidation:
• A molecule, atom, or ion undergoes oxidation when it loses electrons as a result of a process.
• Decomposition:
• The process of recycling nutrients that have been consumed by an organism (plant or animal) to create its body begins with decomposition.
• Reduction:
• Reduction is the term used to describe a reaction in which a reactant picks up electrons.

From the given information:

Step 1: D is sitting at the end of the row. B is sitting third to the left of D.

All of them face toward the west. Now we place D at the right end because we have to place B at its third left.

Step 2: A is sitting to the immediate right of B. A is an immediate neighbour of B and C.

We place A immediately right of B and then place C such that A is the immediate neighbour of B and C.

Step 3: E is sitting at the first position in the row. F is sitting between A and E.

We place E at the end and then place F at the only spot left which also satisfies the condition of F sitting between A and E.

From the arrangement, we can see that B is the immediate neighbour of A and F.

Hence, the correct answer is option 2).

Given:

tan 53° = 4/3

Formula Used:

tan(x – y) = (tanx – tany)/(1 + tanxtany)

Calculation:

We know, 8° = 53° - 45°

Tan8° = tan(53° - 45°)

⇒ tan8° = (tan53° - tan45°)/(1 + tan53° tan45°)

⇒ tan8° = (4/3 – 1)/(1 + 4/3 × 1)

⇒ tan8° = (1/3)/(7/3)

⇒ tan8° = 1/7

• Garba is a famous dance form of Gujarat state in India.
• Traditionally, it is performed during the nine-day Hindu festival Navaratri.

The correct answer is Radiation.

Key Points

• There are three modes of transmission of heat:-Conduction, Convection, and Radiation.

1. Conduction

• In this mode of transmission, heat dissipates from one place to another by molecular vibration.
• Conduction needs a medium to transfer heat.
• It is relevant to solid only.

2. Convection

• Heat is transferred from one place to another by the transfer of molecules.
• It happens only in liquids or gases.
• It also needs a medium to transfer heat.

3. Radiation

• It transfers heat in the form of electromagnetic waves.
• It can heat any form of material.
• It doesn't need any medium for the transfer of heat.

Important Points

• Radiation travels with the speed of light. So the rate of heat transfer is maximum in radiation in the form of electromagnetic radiation.

The logic followed here is :-

Code : Square of number of alphabets in a word.

'FOSTER' is written as '36' 

Number of letters in word FOSTER = 6 → 6² = 36

and

'DANCE' is written as '25'

Number of letters in word DANCE = 5 → 52 = 25

Similarly,

'ORCHARD' will be written as

Number of letters in word ORCHARD = 7 → 72 = 49

Hence, the correct answer is "49".

Given Data:

Spends 75% of his income

Income increases by 20%

Expenditure increases by 10%

Calculation:

Let the income be Rs 100

Expenditure = 75% of 100 = 75

Savings will be = 100 – 75 = 25

Income after the increase by 20% = 120

Expenditure after the increase by 10% = 110% of 75 = 82.5

New savings = New income – New expenditure = 120 – 82.5 = 37.5

Increase in saving = 37.5 – 25 = 12.5

Percent increase in savings = (12.5/25)×100

∴ Percent increase in savings is 50%

The correct answer is Bihar.

• Barabar caves are located in the Jehanabad district(Bihar).
• They are believed to belong to the Mauryan period (322-185 BC).

Important Points

• The twin hills of Barabar and Nagarjuni are the home to these.
• The Barabara caves comprise two chambers, sculpted out of granite and the internal surface is highly polished.
• Barabar Hill accommodates four caves: Karan Chaupar, Sudama, Lomas Rishi, and Visvakarma.
• Lomas Rishi cave is an arch-like shape.
• Sudama cave has a circular vaulted chamber with a rectangular mandapa.
• Karan Chaupar has a single rectangular room with polished surfaces.
• Visvakarma cave comprises two rectangular rooms.

Additional Information

• Ellora caves-
• The Ellora caves, locally known as 'Verul Leni' is located on the Aurangabad - Chalisgaon road at a distance of 30 km north - northwest of Aurangabad, in the Indian state of Maharashtra.
• Ellora is one of the largest rock-cut monastery - temple caves complexes in the world, and a UNESCO World Heritage Site.
• During the regime of the Rashtrakuta were the famous Ellora caves of Maharashtra built.
• Ajanta Caves-
• The Ajanta Caves are a series of 29 Buddhist cave temples in Ajanta, India, some of which date from the 2^nd century BC. Encompassing both Theravada and Mahayana Buddhist traditions, the Ajanta caves preserve some of the best masterpieces of Buddhist art in India.
• The Ajanta Caves were carved in the 2^nd century BC out of a horseshoe-shaped cliff along the Waghora River.

Extra facts:

• Madhya Pradesh- Bagh Caves
• Maharashtra - Ajanta Caves, Bhaja Caves, Elephanta Caves, Ellora Caves, Kanheri Caves
• Karnataka- Badami Caves
• Bihar - Barabar Caves
• Odisha - Udaygiri Caves
• Andhra Pradesh - Borra Caves
• Tamilnadu - Varah Caves

The correct answer is Ideal Gases.

• Universal Gas Constant, R, is a property of Ideal Gases.
• The ideal gas equation is given by PV = n RT.
• The gas constant R = 8.314 J / mol·K.

Additional Information

• The gas constant is a combination of the constants from Boyle's law, Charles's law, Avogadro's law, and Gay-Lussac's law.
• Boyle's law - 
• At a constant temperature, the pressure of an ideal gas is inversely proportional to its volume.
• p₁v₁=p₂v₂
• Charles's law - 
• At constant pressure, the volume of an ideal gas is directly proportional to the absolute temperature.
• \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)
• Gay-Lussac's law - 
• It states that the pressure of a gas is directly proportional to the absolute temperature of the gas.

Family chart :

Pointing to a photograph of a man, a woman said, “That man is the son of the only brother of my husband." 

Family Tree :

∴ Here, Woman is paternal aunt to the man in photo.

Hence, the correct answer is "Paternal Aunt".

Given:

A's share is half that of B's and thrice that of C's.

Calculation:

Let the share of A be 3x

So, share of B = 3x × 2 = 6x and share of C = 3x × (1/3) = x

Now,

3x + 6x + x = 490

⇒ 10x = 490

⇒ x = 49

So, C's share is Rs. 49

∴ C's share is Rs. 49.

The correct answer is Evidence of horse.

Important Points

The correct answer Neuron.

 Key Points

1. The basic unit of the nervous system is a nerve cell or neuron. The human brain contains about 100 billion neurons.
2. Neurons, or nerve cells, are the main structural and functional units of the nervous system.
3. Every neuron consists of a body (soma) and a number of processes (neurites).
4. The nervous system determines that it is a highly complex part of an animal that coordinates its actions and sensory information by transmitting signals to and from different parts of its body.

Important Points

1. The nervous system is the major controlling, regulatory, and communicating system in the body.
2. It is the center of all mental activity including thought, learning, and memory.

• Together with the endocrine system, the nervous system is responsible for regulating and maintaining homeostasis
• A neuron is the structural and functional unit of the brain.
• The longest cell in the human body is the neuron.
• The nervous system consists of the brain, spinal cord, sensory organs, and all of the nerves that connect these organs with the rest of the body.
• Together, these organs are responsible for the control of the body and communication among its parts.

Additional Information

1. Neurons are the basic functional units of the nervous system, and they generate electrical signals called action potentials, which allow them to quickly transmit information over long distances.
2. To generate and transmit nerve impulses, support the neurons; may serve a nutritive function and help regulate the chemical environment of the neuron.
3. The nervous system produces a response on the basis of the stimuli perceived by sensory structures.

Option 2. Only II follows.

The statement suggests that a company's order gets canceled because of its inability in adhering to the time frame.

Course of action I suggests that the company must push the client to give it some extra time. This is illogical when an order is placed specifications regarding quantity, time, etc are made and if a company negotiates after the order gets canceled it mars its reputation further. Therefore, course of action I does not follow.

The second course of action suggests the company should look out for some other client and sell the finished goods to them to realize its cost. This appears logical. Therefore, course of action II follows.

Hence, option 2 is correct.

Shortcut Trick

For half-yearly compounding, the rate becomes 4% ÷ 2 = 2% and periods = 1 × 2 = 2.

Using the successive percentage formula: Effective rate = 2 + 2 + (2 × 2)/100 = 4.04%.

Total Interest = 4.04% of 2500 = ₹101.

Total Amount = Principal + Interest = 2500 + 101 = ₹2601.

∴ The correct answer is ₹2601.

Alternate Method

Given: Principal (P) = ₹2500, Rate (R) = 4% per annum, Time (T) = 1 year.

Formula Used: Amount (A) = P(1 + r/100)ⁿ

⇒ Compounded half-yearly: New Rate (r) = 4% ÷ 2 = 2% per half-year.

⇒ Total periods (n) = 1 × 2 = 2 half-years.

⇒ A = 2500 × (1 + 2/100)²

⇒ A = 2500 × (1.02) × (1.02)

⇒ A = 2500 × 1.0404

⇒ A = ₹2601

∴ The correct answer is ₹2601.

Additional Information

Compounding Rules

When interest is compounded half-yearly, the annual rate is divided by 2 and the time is multiplied by 2. For quarterly compounding, divide the rate by 4 and multiply time by 4.

Effective Rate Formula

For two successive periods with interest rate r%, the effective rate is given by r + r + (r × r)/100.

CI vs SI Difference

The difference between Compound Interest and Simple Interest for 2 years (or 2 periods) is D = P × (r/100)².

The Correct answer is Sarat Chandra Chattopadhyay.

Key Points

• Sarat Chandra Chattopadhyay was a renowned Indian Bengali novelist and short story writer.
• He is best known for his novels ‘Devdas’ and ‘Parineeta’, which have been adapted into several films in different languages.
• His works are celebrated for their depiction of the social issues and human emotions of the time.
• Chattopadhyay's writing style is known for its simplicity and realism.
• He is considered one of the greatest authors in Bengali literature.

 Additional Information

• Rabindra Nath Tagore
• Rabindranath Tagore was a polymath, known for his contributions to literature, music, art, and philosophy.
• He won the Nobel Prize in Literature in 1913 for his collection of poems ‘Gitanjali’.
• Tagore's works include novels, short stories, songs, dance-dramas, and essays.
• Nabin Chandra Sen
• Nabin Chandra Sen was a Bengali poet and writer known for his epic poem ‘Raivatak’.
• He is also renowned for his patriotic writings and contributions to Bengali literature.
• Bankim Chandra Chatterjee
• Bankim Chandra Chatterjee was a significant Bengali writer and poet, famous for his novel ‘Anandamath’.
• He is also the author of ‘Vande Mataram’, which later became a national song of India.

The correct answer is 56.

Key Points

• Newland assumed that only 56 elements exist in nature.
• In 1866, John Newlands, an English scientist, arranged the then-known elements in order of increasing atomic mass.
• He started with the element with the lowest atomic mass (hydrogen) and ended with Thorium which was the 56^th element.
• He found that every eighth element has the same properties as the first. He compared it to the octave found in music.
• That's why he called it the 'law of octaves'.
• This is known as 'Newlands' Law of Octaves'.
• The properties of lithium and sodium were found to be similar in Newlands' octave.

Additional Information

• Law of Octaves was applicable only up to calcium, as after calcium every eighth element did not possess properties similar to that of the first.
• It was assumed by Newlands that only 56 elements existed in nature and no more elements would be discovered in the future.
• But, later on, several new elements were discovered, whose properties did not fit into the Law of Octaves.
• In 1869, just five years after John Newlands put forward his Law of Octaves, a Russian chemist called Dmitri Mendeleev published a periodic table.
• Mendeleev also arranged the elements known at the time in order of relative atomic mass, but he did some other things that made his table much more successful.

Given:- 

Statement: Public smoking has increased in the current year.

Conclusions:

1. Government should ban public smoking→ This is a course of action or recommendation, rather than a logical conclusion derived from the factual statement.

2. Government should create awareness about the ill effects of public smoking→ This is also a course of action or suggested step, not a logical deduction based on the premise provided.

In logical reasoning, a conclusion is a direct inference that must be true based on the statement. Recommendations for actions do not follow as logical conclusions from a statement of fact. Therefore, neither conclusion follows.

Hence, "Neither 1 nor 2 follows" is the correct answer.

Given:

a³ - b³ = 253

a - b = 7

Formula used:

(a - b)³ = a³ - b³ - 3ab(a - b)

Calculation:

(a - b)³ = a³ - b³ - 3ab(a - b)

⇒ (7)³ = 253 - 3ab(7)

⇒ 343 = 253 - 21ab

⇒ 21ab = - 90

⇒ ab = - 30/7

∴ The value of ab is -30/7.

The correct answer is ​Humayun's Tomb

In News

• India's First Sunken Museum will open at the Humayun Tomb complex in Delhi on July 29, 2024.

Key Points

• Union Culture and Tourism Minister Gajendra Singh Shekhawat and Prince Rahim Aga Khan will attend the opening.
• The museum design is inspired by traditional Indian 'baolis' (stepwells), integrating historical and modern elements.
• Exhibits include:
• Restored artifacts from Humayun’s Tomb.
• Rare items such as 'farmans', an astrolabe, a celestial sphere, and a 16^th/17^th-century warrior’s helmet.
• Technological features:
• 3-D videos depicting historical scenes.
• Detailed scale models of the Nizamuddin Dargah complex.
• Humayun’s Tomb:
• Constructed in 1569-70, commissioned by Empress Bega Begum.
• First garden tomb in India, influencing Mughal architecture including the Taj Mahal.
• The tomb is a UNESCO World Heritage Site known for its Persian architectural influences and intricate designs.

Option 3 is the correct answer: Central Processing Unit (CPU) in a computer controls, coordinates and supervises the operations of the computer.

• Central Processing Unit (CPU) is also known as the brain of the computer.
• It is the key component that processes the data to give useful information.
• Commonly referred to as Processor it is made up of a number of micro transistors mounted on a chip.
• It consists of two basic components:
• Arithmetic and Logical Unit (ALU): This unit of CPU performs all the arithmetic and logic operations.
• Control unit: It directs the flow of data and information.
• Random Access Memory (RAM):
• It is the volatile memory of the computer where information is temporarily stored.
• The data is stored until the system is working and loses it as soon as power is switched off.
• Read-Only Memory (ROM):
• It is a non-volatile memory in which the information is stored permanently.
• The content does not get erased off even when the system is switched off.

The logic followed here is:

90 is completely divisible by 15.

Similarly, Only 126 is completely divisible by 18.

Hence, 126 is the correct answer.

Given:

Dimensions of a cuboid are, l × b × h = 27 cm × 18 cm × 21 cm 

Formulas used:

Volume of cuboid = l × b × h 

Volume of cube with side a = a³

Calculation:

No of cube to be cut = Volume of cuboid/Volume of cube

⇒ (27 cm × 18 cm × 21 cm)/(3 × 3 × 3)

⇒ 18 × 21 

⇒ 378

∴ The no of cubes that can be cut out of cuboid = 378

The correct answer is Pushyamitra Sunga.

Key Points

• Sanchi Stupa is located in Sanchi, Madhya Pradesh.
• It is a UNESCO world heritage site since 1989.
• It was built by Ashoka in the 3^rd century BCE.
• The original structure of the stupa was made of bricks.
• Later, it was covered with stone, vedica, and the Torana.
• It has a lower and upper pradakshinapatha.
• The upper pradakshinapatha is only found in this stupa.
• Here, the Ashokan Lion Capital pillar is found with inscriptions on it.
• When Pushyamitra Sunga overthrew Mauryans and became the new king of Magadha, he had built a stone altar (Vedika) in place of the wooden altar.
• ​Hence, Option 1 is correct.
• He made Vidisha his capital and **built the Bharhut Stupa.**​
• During Sungas, the original brick dome of the stupa was enlarged with stone slabs covering the original dome.

The correct answer is Increases.

Key Points

• When a body is taken from equator two poles its weight increase because of the acceleration due to gravity increases.
• The rotation of the earth about its own axis also produces a force on the body. This effect will further reduce the weight of the body. So due to both these affects the weight of the body.
• If the earth suddenly stops rotating about its axis, there is no effect of centrifugal force on the gravitational acceleration. So, the value of gravitational will be the same in all places.

Given sequence: JAS, HDV, FGY, DJB

So, the next set of letters is BME.

Hence, the correct answer is BME.

Given:

A sum becomes Rs. 2286 in 3 years and Rs. 2448 in 4 years at simple interest

Concept used:

Simple interest is always calculated on principal, so S.I remains the same in each year.

Calculation:

S.I. of 1 year = Amount after 4 year – Amount after 3 year = 2448 – 2286 = 162

P = Amount of 3 years – S.I of 3 years = 2286 – 162 × 3 = 2286 – 486 = 1800

S.I = (P × R × T)/100

⇒ 162 = (1800 × R × 1)/100

∴ R = 162/18 = 9%

The correct answer is Yajurveda.

• Dhanurveda is a Upaveda of Yajurveda.

Key Points

• Yajurveda
• The beliefs and rituals of non-Aryans are written in it.
• Two texts of Yajurveda are:
• Shukla (White) Yajurveda:
• Shukla Yajurveda maintains a clear separation between the mantra and brahmana.
• The Shukla Yajurveda is related to the Aditya-school.
• Krishna (Black) Yajurveda:
• The Krishna Yajurveda is characterised by a mixture of mantra and brahmana.
• The Krishna Yajurveda is related to the Brahma-school.
• Dhanurveda is a Upaveda of Yajurveda.
• It is the “science of warfare” and contains the knowledge of the bow, of archery, the title of sacred work.

Additional Information

• Ayurveda is the upaveda of Rigved or Atharvaveda.
• Gandharvaveda is the upaveda of Samaveda.
• Shilpveda/Arthaved is the upaveda of Atharvaveda.

The correct answer is It is a thermosetting plastic polymer.

CONCEPT:

• Thermoplastic polymers: They are linear and slightly branched long-chain polymers

Bakelite is a thermosetting plastic.

EXPLANATION:

• It is formed by the condensation polymerization of phenol with formaldehyde in presence of an acid or a base catalyst.
• The initial product of the reaction is Novolac.
• Novolac on heating with formaldehyde undergoes cross-linking and form bakelite.
• This cross-linked structure helps bakelite to resist high temperature and therefore it is suitable for making handles of kitchen utensils.

Formula:

Ø = (30)H - (11/2)M  OR = (11/2)M - (30)H

Where:

H = Hour

M = Minute

Ø = The angle between the hour hand and the minute hand.

Given time → 3:25

H = 3

M = 25

Ø = (11/2)M - (30)H

Ø = (11/2)(25) - (30 × 3)

Ø = 137.5 - 90 = 47.5º

Ø =  47.5º

Here, the angle between the hour hand and the minute hand is 47.5º.

Hence, the correct answer is "47.5º".

Given:

Initial volume of the mixture = 70 liters

Initial ratio of milk to water = 3 : 4

Final ratio of milk to water = 3 : 5

Formula Used:

Volume of water added = Final volume of water - Initial volume of water

Calculation:

Let the initial volume of milk be 3x liters and the volume of water be 4x liters.

Therefore, 3x + 4x = 70

⇒ 7x = 70

⇒ x = 10

Initial volume of water = 4 × 10 = 40 liters

Since the volume of milk remains constant, the final volume of milk = 3x = 30 liters

Using the final ratio of milk to water (3 : 5), let the final volume of water be 5y liters.

The ratio of volumes of milk to water is the same as their ratio by number, so

⇒ 3/5 = 30/y

⇒ y = (5 × 30) / 3

⇒ y = 50

Final volume of water = 50 liters

Volume of water added = 50 - 40 = 10 liters

The amount of excess water mixed in the mixture is 10 liters.

The correct answer is Sigar.

Key Points

• Malwa Plateau
• It is located in the western part of Madhya Pradesh.
• The highest peak of Malwa Plateau is Sigar top which is 881 meters high. Hence option 3 is correct.
• Malwa Plateau lies 300 to 600 meters high above sea level.
• The districts of Madhya Pradesh that come under the area of Malwa Plateau are 
• Indore, Ujjain, Ratlam, Devas, Shajapur, Dhar, Jhabua, Alirajpur, Mandsaur, Sehore, Raisen, Sagar, Guna, Rajgarh, Vidisha, Bhopal, etc.
• The plateau is made up of Basal rocks of Deccan trap and due to this Black Cotton soil is found in this region.
• The climate of this plateau is temperate i.e neither there is exuberant heat during summer nor there is extravagant cold during winter.

According to the given information:

1. R is in red clothes.

2) R likes grapes.

3) S likes apples and he is in purple clothes.

4. Q does not like bananas and grapes. 

5) T likes mangoes, but is not in green or pink clothes.

6. The child in pink coloured clothes likes bananas.

So, Q likes pears.

Hence, the correct answer is "Q".

Given:

Present age ratio of Hari : Harry = 5 : 7

Calculation:

Let's assume that present age of Hari and Harry is 5x and 7x

After 4 years from now, their ages will be 5x + 4 and 7x + 4

Now, according to the question,

\(\frac{(5x + 4)}{(7x + 4)}\) = \(\frac{3}{4}\) 

⇒ 20x + 16 = 21x + 12

⇒  21x - 20x = (16 - 12)

⇒ x = 4

So, the present age of Hari and Harry is (5 × 4) = 20 and (7 × 4) = 28 respectively

∴ The correct answer is option 2

The correct answer is Montreal.

Key Points

• International Civil Aviation Organization (ICAO):
• The International Civil Aviation Organisation is a specialized agency and was established on 4^th April 1947.
• It changes the principles and techniques of international air navigation.
• The Convention on International Civil Aviation was signed on 7^th December 1944 in Chicago.
• ​It also fosters the planning and development of international air transport to ensure safety and orderly growth.
• Its headquarters in Montreal, Canada.
• ​India is among its 193 members.

Step 1 The age of W5 is more than the age of W2.

W5>W2

Step 2 The age of W3 is less than the age of W2.

W5>W2>W3

Step 3 The age of W1 is more than the age of W5.

W1>W5>W2>W3

Step 4 Only one female is older than W4. 

W1>W4>W5>W2>W3

Step 5 W3 is not the youngest one. Here only W6 is left. Hence W6 is the oldest one.

W1>W4>W5>W2>W3>W6.

Hence, W5 is the third oldest person.

Hence, the correct answer is W5.

Given:

Income of Raima = ₹35,000

Savings = 14% of income

Calculation:

Saving = 14%

So, Expenditure = 100 - 14 = 86%

Thus, expenditure = 86% of 3500

⇒ 86/100 × 35000

⇒ 86 × 350 = Rs. 30100

Hence, the correct answer is option 4.