MP Police Constable : (11 Nov 2025, Shift 2) Memory-Based Paper (Previous Year Paper)

The correct answer is brass.

• Moradabad is also known as Pital Nagri for its prominent brass handicrafts industry.

Important Points

• Moradabad is well known industrial city and export centre.
• The handicrafts industry of Moradabad exceeds 40% of the total handicraft exports from India.
• Manufactured products such as iron sheet, metal wares, aluminium, artworks and glassware are exported from the industries in Moradabad.
• Moradabad is one of the seven industrial corridors which are declared by the State Government under Industrial Policy 1999–2002.
• Uttar Pradesh Government has developed Moradabad Special Economic Zone (SEZ) which is the only government developed SEZ in northern India.
• Moradabad SEZ offers exceptional infrastructure, encouraging services and sector-specific facilities for the Handicraft Trade.

• When a large force acts on a body for a short time, then the force is called impulsive force.
• Impulse = force x time = change in momentum
• Impulse is a vector quantity.
• SI Unit of Impulse is Newton second (Ns).

Explanation:

Impulse

• When a large force works on a body for a very small time interval, it is called impulsive force.
• An impulsive force does not remain constant, but changes first from zero to maximum and then from maximum to zero. In such a case, we measure the total effect of force.
• The impulse caused by a force during a specific time interval is equal to the body's change of momentum during that time interval.
• Impulse, effectively, is a measure of change in momentum.
• The impulse of a force is a measure of the total effect of force.
• Impulse is a vector quantity and its direction is the same as that of force.
• SI unit of impulse is Newton-second or kg-m-s-1 and CGS unit is g.m/s

The least possible Venn diagram for the given statements is as shown below :-

Options :

1) Some Sounds are only Bombs → True (As Some Bombs are Exclusively (only) Sound so, Some Sounds are only Bombs is true)

2) Some Explosives are Lights → False (it is possible but not definite)

3) All Sounds are Explosives → False (this is not possible as some Bombs are Exclusively (only) Sound)

4) Some Bombs are Explosives → False (this is not possible as some Bombs are Exclusively (only) Sound)

∴ Here, Only Option 1 i.e., Some Sounds are only Bombs is true.

Hence, the correct answer is "Some Sounds are only Bombs".

Given:

\(x^2 + \frac{1}{x^2}=38\)

Calculation:

(\(x - \frac{1}{x}\))2 = \(x^2 + \frac{1}{x^2}\) - 2

⇒ (\(x - \frac{1}{x}\))2  = 38 - 2

⇒ (\(x - \frac{1}{x}\))2  = 36

⇒ \(x - \frac{1}{x}\)  = 6

∴ Option 1 is the correct answer.

The correct answer is Kunji Lal Dubey.

Key Points

Kunji Lal Dubey

• An Indian independence activist, lawyer, educationist and politician from Madhya Pradesh.
• He was the first Vice-Chancellor of Rani Durgavati University and the Vice-Chancellor of Nagpur University.
• He is elected by the members of the Madhya Pradesh Legislative Assembly.
• He served as the first speaker of the Madhya Pradesh Legislative Assembly in 1956.
• He also served as the State Finance Minister in 1967.
• In 1964, the Government of India honoured him with the Padma Bhushan.

Additional Information

The correct answer is bauxite.

  KeyPoints

• Aluminum being a reactive element is generally found in a combined state.
• Its ores include bauxite, cryolite, and corundum.
• Aluminum is a light element and hence is used in making aircraft parts.

  Additional Information

• Calamine is the ore of **zinc.**​
• Calcite is the ore of carbon.
• Galena is the chief ore of lead.

The logic followed here is:

So, '3413' is the missing number in the given series.

Hence, the correct answer is "Option 2".

Given:

Time taken to cross a bridge = 53 seconds.

Time taken to cross a sign board = 17 seconds.

Length of the bridge = 288 m.

Formula Used:

Speed = Distance / Time

Calculation:

Let the length of the train be L meters.

Speed of the train while crossing the bridge = (L + 288) / 53

Speed of the train while crossing the sign board = L / 17

Since the speed of the train remains the same, (L + 288) / 53 = L / 17

Multiplying both sides by 53 × 17 to get rid of the denominator,

⇒ 53L = 17L + 17 × 288

⇒ 53L - 17L = 17 × 288

⇒ 36L = 4896

⇒ L = 4896 / 36

⇒ L = 136 m

∴ The length of the train is 136 m.

The correct answer is Kathak.

Key Points

• The Sangeet Natak Akademi recognizes eight classical dance in India.
• Kathak dance is originated from Uttar Pradesh.
• | Dances | Origin | Main Reviving Personals | Famous Proponents | | --- | --- | --- | --- | | Bharatnatyam | Tamil Nadu | E. Krishna Iyer, Rukmini devi Arundale | Yamini Krishnamurthy, Lakshmi Vishwanathan, Padma Subramaniam, Mrinalini Sarabhai, Mallika Sarabhai | | Kuchipudi | Andhra Pradesh | Balasaraswati, Ragini devi | Radha Reddy And Raja Reddy, Yamini Krishnamurthy, Indrani Rehman | | Kathakali | Kerala | V. N. Menon | Guru Kunchu Kurup, Gopinath, Kottakal Sivaraman, Rita Ganguly | | Odissi | Odisha | Indrani Rehman, Charles Fabri | Guru Pankaj Charan Das, Kelu Charan Mohapatra, Sonal Mansingh, Sharon Lowen, MYrla Barvie | | Manipuri | Manipur | Raja bhag Chandra, Rabindranath Tagore | Nayana, Suverna, Ranjana and Darshna, Guru Bipin Singha | | Kathak | Uttar Pradesh | Lady Leela Sokhey | Birju Maharaj, Lacchu Maharaj, Sitara Devi, Damyanti Joshi | | Sattriya | Assam | Shankaradeva | - | | Mohiniattam | Kerala | V. N. Menon, kalayani Amma | Sunanda Nair, Kalamandalam kshmavathy, Madhuri Amma, Jayaprabha Menon |

Malachite is an ore of Copper.

• It is a famous and very popular semi-precious stone.
• Malachite is a copper carbonate hydroxide mineral with the chemical formula Cu₂CO₃(OH)₂.
• The colour is bright green with a light green streak.
• Because of its distinctive bright green colour and its presence in the weathered zone of nearly all copper deposits, malachite serves as a prospecting guide for that metal.
• Malachite is popular in jewellery and is used as an ornamental stone and as a gemstone.
• It is generally found together with blue Azurite, and sometimes the two may occur admixed or banded together.
• Pyrolusite is an ore of Manganese.
• Cinnabar is an ore of Mercury.
• Dolomite, Magnesite is an ore of Magnesium.

Given : 29^th September 2015 was a Tuesday

• Total number of days in a normal year = 365
• Total number of days in a leap year = 366
• Total number of odd days in a normal year = 365/7 = 1
• Total number of odd days in a leap year = 366/7 = 2
• 29^th September 2015 (Tuesday) + 2(2016) + 1(2017) + 1(2018) + 1(2019) = 29^th September 2019 (Sunday)
• Thus, 29^th September 2019 (Sunday) - 1 = 28^th September 2019 (Saturday)

Hence, 'option 2' is the correct answer.

Shortcut Trick

Selling Price (SP) is (100 − 25)% of Marked Price (MP).

SP = 75% of 1200 = 3/4 × 1200 = Rs. 900. Profit = SP − CP = 900 − 800 = Rs. 100.

∴ The correct answer is Rs. 100.

Alternate Method

CP: 800

SP: 900

MP: 1200

Profit = +100

Discount = 25%
Profit = SP − CP = 100

Given:

Marked Price (MP) = Rs. 1200

Discount = 25%

Cost Price (CP) = Rs. 800

Formula Used:

Selling Price (SP) = MP × (1 − Discount / 100)

Profit = SP − CP

Calculations:

⇒ SP = 1200 × (100 − 25) / 100

⇒ SP = 1200 × 75 / 100

⇒ SP = 12 × 75 = Rs. 900

⇒ Profit = 900 − 800

⇒ Profit = Rs. 100

∴ The correct answer is Rs. 100.

Additional Information

Marked Price & Discount

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

Profit & Loss Calculation

Profit or Loss is always calculated on the Cost Price (CP). Formula: Profit% = (Profit / CP) × 100.

Successive Discount

If two successive discounts of d₁% and d₂% are given, the equivalent discount = d₁ + d₂ − (d₁ × d₂) / 100.

The correct answer is Raisen.

• Tamot Plastic Park is located in Tamot village of Raisen district in Madhya Pradesh.

Key Points

• There are a total of six plastic parks in India (both operational and proposed).
• Plastic parks are being developed by state governments with support from the Ministry of Chemicals and Fertilizers.
• There are two plastic parks proposed in Madhya Pradesh.
• Tamot in Raisen district
• Bilaua in Gwalior district

Additional Information

• Some important parks and their locations are:
• Gems and Jewelry Park - Indore
• Masala Park - Chhindwada
• Bio-energy Park - Rewa
• Horticulture Park - Mandasaur

The logic followed is:

1 hour = 60 minutes,

1 minute = 60 seconds

Thus, in 1 minute the second hand of a clock meets 12 → 1 time.

In 60 minutes (1 hour) it meets → 60 times.

Therefore, in 6 hours it meets → 6 × 60 → 360 times

Hence, 360 is the correct answer.

Given:

The ratio of the salary of Ram, Raj, and Rio is 5:7:9.

Rio receives Rs 280 more than Ram.

Calculation:

Let the common multiple for the salary of Ram, Raj, and Rio be x.

Salary of Ram = 5x

Salary of Raj = 7x

Salary of Rio = 9x

According to the question,

9x - 5x = 280

⇒ 4x = 280 

⇒ x = 70

Salary of Raj = 7x

⇒ Salary of Raj = 7 × 70 = 490

∴ The salary of Raj is Rs. 490.

The correct answer is scattering of light.

Key Points

• When white light from the sun enters the earth's atmosphere, the light gets scattered i.e. the light spreads in all directions by dust particle, free water molecule, and molecules of gases present in the atmosphere. This is called the scattering of light.
• During the scattering of light, some of the light is absorbed and the rest is scattered.

Additional Information

• When white light passes through the glass prism it splits into the seven constituent colors, this phenomenon is called dispersion of light.
• When a ray of light reaches a smooth polished surface it bounces back, it is called reflection of light.
• The bending of light as it passes from one substance to another, it is called refraction of light.

Given:

4, 11, 20, 31, 44,?

Logic: Addition of consecutive odd numbers from 7.

Here, '59' is the next number.

Hence, the correct answer is "Option (4)".

Shortcut Trick

The third proportional to any two numbers a and b is given directly by the formula: b² ÷ a.

Here, a = 24 and b = 36.

Third proportional = (36 × 36) ÷ 24

Third proportional = 1296 ÷ 24 = 54

∴ The correct answer is 54.

Alternate Method

Given:

Two numbers: 24 and 36

Formula Used:

If x is the third proportional to a and b, then the ratio is defined as a : b :: b : x

Product of extremes = Product of means

⇒ a × x = b × b

Calculations:

⇒ Let the third proportional be x.

⇒ 24 : 36 = 36 : x

⇒ 24 ÷ 36 = 36 ÷ x

⇒ x = (36 × 36) ÷ 24

⇒ x = 1296 ÷ 24

⇒ x = 54

∴ The correct answer is 54.

Additional Information

Fourth Proportional

If a, b, c, and d are in proportion (a : b :: c : d), then d is called the fourth proportional. Formula: d = (b × c) ÷ a.

Mean Proportional

The mean proportional between two numbers a and b is the square root of their product. Formula: Mean proportional = √(a × b).

Third Proportional

The third proportional to a and b is a value x such that a : b :: b :

x. Formula: x = b² ÷ a.

Continued Proportion

Three quantities a, b, and c are in continued proportion if a : b = b : c. Here b is the mean proportional and c is the third proportional.

The correct answer is Malwa Plateau

Key Points

• The Malwa Plateau region of Madhya Pradesh has a temperate (equable) climate.
• This region is known for its temperate climate because it is neither too hot in summer nor too cold in winter.
• It roughly forms a triangle based on the Vindhyan Hills, bounded by the Aravali Range in the west and Madhya Bharat Pathar to the north.
• The other regions of Madhya Pradesh generally have a subtropical monsoon climate with hot, humid summers and cool, dry winters.
• The average temperature in summer is 40-42 degrees Celsius, and the average temperature in winter is 10-12.5 degrees Celsius.

Additional Information

• The Vindhyan/Satpura Mountain Region
• This is a hilly terrain, so the summers are not too hot, and the winters are moderate.
• This climatic zone includes well-known hill stations like Pachmari and Amarkantak.
• Malwa Plateau is composed of extensive lava flow and is covered with black soils, with a general slope towards the north.

The correct answer is Oxalic Acid.

Key Points

• Tomato is a natural source of Oxalic acid.
• Oxalic Acid is most likely to be found in Spinach.
• Oxalic acid is an organic compound found in many plants.
• Moderately high contents of oxalic acid were recorded in all varieties of tea leaves.
• Oxalic acid, also called ethanedioic acid, a colorless, crystalline, toxic organic compound belonging to the family of carboxylic acids.

Additional Information 

The correct answer is Option 4: Call the police and keep an eye on him till the police reach him.

Qualities Projected in this situation:  (Initiative and sense of responsibility).

Key Points

• Checklist for attempting SRT questions:

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

Additional Information

Officer qualities:

Concept used:

In such a question, we apply the compound per cent formula because the population is increasing compounded.

Formula used:

A = P(1 + r/100)ⁿ  where A = present population, P = population 2 year ago

R = per cent increase and n = time

60000 = P(1 + 25/100)²

P = 60000 × 4/5 × 4/5

P = 38400

The correct answer is Acworth Committee.

Key Points

• The Railway Budget was separated from the main Budget by the recommendation of a panel headed by William Acworth.
• The rail Budget is presented a few days before the general Budget. Since 1924 the rail Budget has been separate from the general Budget.
• The railway policy, financial and administration was the subject of a committee which was chaired by Sir William Acworth.
• The committee collected evidence and came to the conclusion that Indian Railways cannot be modernized, improved and enlarged so as to give to India the service of which it is crying need at the moment until the financial methods are completely reformed.
• The Railway Budget was separated from the General Budget to improve funding.​

Additional Information

• A committee led by NITI Aayog member BibekDebroy, in a report titled Railway Budget Waivers, recommended that the two budgets be combined as part of the railroad restructuring.
• A mixed committee of five members was then formed, including the co-secretaries for the Federal Budget of the Treasury Department, and senior officials from the Treasury Department and the National Transportation Company to consider how to proceed with the merger.
• The government proposed to integrate the railway budget into the general budget for 2017-2018.

Statements:

Some games are toys.

All blocks are games.

Possible Venn diagram:

Conclusions:

I. Some blocks are toys → False (As all blocks are games and some games are toys so, some blocks are toys is a possibility but relation is not definite follow)

II. All blocks are toys → False (As all blocks are games and some games are toys so, all blocks are toys is a possibility but relation is not definite follow)

Neither conclusion I nor II follows.

Hence, 'option 4' is the correct answer.

Shortcut Trick

The average of the first n natural numbers is given by the formula: (n + 1) ÷ 2.

Here, n = 43.

Average = (43 + 1) ÷ 2 = 44 ÷ 2 = 22.

∴ The correct answer is 22.

Alternate Method

Given: The first 43 natural numbers are 1, 2, 3, ..., 43.

Formula Used: Sum of first n natural numbers = [n(n + 1)] ÷ 2 | Average = Sum ÷ n

⇒ Sum = [43 × (43 + 1)] ÷ 2

⇒ Sum = [43 × 44] ÷ 2 = 43 × 22 = 946

⇒ Average = Total Sum ÷ Total count

⇒ Average = 946 ÷ 43 = 22

∴ The correct answer is 22.

Additional Information

Average of Even Numbers

The average of the first n even natural numbers is (n + 1).

Average of Odd Numbers

The average of the first n odd natural numbers is n.

Average of AP

For any Arithmetic Progression, the average is exactly the middle term, or (First term + Last term) ÷ 2.

Correct Answer: 2. Blackbuck (Kale Hiran)

In News

• Asop Forest Block in Shahpura, Rajasthan, is designated as a conservation reserve for Blackbuck (Kale Hiran).
• Recent census shows an increase in the Blackbuck population, with over 150 present.

Key Points

• Located 45 km from Bhilwara, the area was previously used as grazing land during the princely state era.
• A proposal sent in January 2024 under the Wildlife Protection Act, 1972, led to its conservation reserve status.
• The region is suitable for Blackbuck due to its dense grasslands and proximity to Bhilwara.
• Other wildlife includes deer, nilgai, wild cats, and a variety of birds and mammals.

The correct answer is Option 4: tell him, that he has very little air in his rear wheel, and help him in taking a lift from the coming vehicle. 

• Qualities Projected in this situation:  (Effective intelligence, Convincing power, and sense of responsibility).

Key Points

• Checklist for attempting SRT questions:

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

Additional Information

Officer qualities:

Given:

52 ÷ [36 – {24 – (32 – 54 ÷ 9 × 3)}]

Concept used:

Calculation:

52 ÷ [36 – {24 – (32 – 54 ÷ 9 × 3)}]

⇒ 52 ÷ [36 – {24 – (32 – 6 × 3)}]

⇒ 52 ÷ [36 – {24 – (32 – 18)}]

⇒ 52 ÷ [36 – {24 – 14}]

⇒ 52 ÷ [36 – 10]

⇒ 52 ÷ 26

⇒ 2

∴ Required answer is 2

The correct answer is Arunachal Pradesh.

Key Points

• Dong village in Arunachal Pradesh, which is known as the easternmost village in India, witness the earliest sunrise in the country.
• At about 1,240 meters above sea-level, Dong is located between China and Myanmar.
• The East Cape has the honor of witnessing the world's first sunrise each and every day.
• The light of the Sun takes about 8 minutes to reach the Earth.
• The light of the Moon takes about 1.3 seconds to reach the Earth.

Additional Information

• Chief Minister of Arunachal Pradesh - Pema Khandu
• Capital of Arunachal Pradesh - Itanagar
• Governor of Arunachal Pradesh - B. D. Mishra
• Dances of Arunachal Pradesh - Aji Lamu, Chalo, Hiirii Khaniing, Popir, Ponung, Pasi Kongki, Rekham Pada, Roppi, etc.
• National Parks/Wildlife Sanctuaries in Arunachal Pradesh - Namdapha National Park, Mouling National Park, Mehao Wildlife Sanctuary, Dibang Wildlife Sanctuary, etc.

The following diagram shows the direction of Bhaskar.

His front door faces east, thus, his back door faces west. Therefore, he starts walking from back door i.e. towards west.

Thus, Bhaskar is at the park, which is to the north-west of his starting point.

Hence, North-west is correct.

Given:

Marked Price (M.P.) is Rs. 15,000

Selling Price (S.P.) is Rs. 13,500

Formula Used:

Discount % =  \(discount\over M.P.\) × 100

Discount = M.P. - S.P.

Calculation: 

Discount = ( M.P. – S.P.)

⇒ Discount = (15,000 – 13,500)

⇒ Discount = Rs 1,500

Now,  Discount% = \(1,500\over 15,000\) × 100 = 10%.

Hence, Discount percentage is 10%.

The Correct Answer is 2018.

In News

• Pariksha Pe Charcha Sets Guinness Record with 3.53 Cr Registrations.

Key Points

• Pariksha Pe Charcha (PPC) 2025 set a Guinness World Record for the most people registered on a citizen engagement platform in one month.
• Over 3.53 crore registrations were made via the MyGov platform.
• PPC is an annual event where PM Narendra Modi interacts with students, teachers, and parents ahead of board exams.
• Launched in 2018, the event has grown in scale and participation each year.
• Organised by the Ministry of Education in collaboration with MyGov.
• PPC is part of the broader Exam Warriors movement initiated by PM Modi.
• The goal is to reduce exam stress and promote a holistic educational approach.

The correct answer is isotones.

CONCEPT:

• The nuclei have been classified based on the number of protons (atomic number) or the total number of nucleons (mass number) as follows:

All isotopes have the same chemical properties. | The nuclei which have the same mass number (A) but a different atomic number (Z) are called isobars. Isobars occupy different positions in the periodic table so all isobars have different chemical properties. | The nuclei having an equal number of neutrons are called isotones. For them both the atomic number (Z) and mass number (A) are different, but the value of (A – Z) is the same. | Isotherms are lines on a weather map that connects points of equal temperature. |

EXPLANATION:

• From the above, it is clear that nuclei having the same number of neutrons but a different mass number are called isotones. Therefore option 3 is correct.

According to the given information:

Code for food is "zar".

Code for Is is "rar".

From the 2^nd statement, we left with tasty, so the code for tasty is "gar".

Hence, the correct answer is "gar".

Given:

Debt = ₹3225

Time (T) = 4 years

Rate of interest (R) = 5%

Concept:

Annual amount paid to discharge a debt =

Fixed annual payment + Interest for the same amount for the remaining years

Formula used:

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

where, P = Principal amount, R = Rate of interest, and T = Time (in years)

Calculation:

Let, the annual payment be X.

Now, the amount paid after 1^st year,

⇒ X + (X × 5 × 3)/100 = X + 15X/100

The amount paid after 2^nd year, 

⇒ X + (X × 5 × 2)/100 = X + 10X/100

Similarly, the amount paid after the 3^rd year,

⇒ X + (X × 5 × 1)/100 = X + 5X/100

And, the amount paid after the 4^th year = X

According to the question,

X + 15X/100 + X + 10X/100 + X + 5X/100 + X = 3225

⇒ 4X + 30X/100 = 3225

⇒ 43X = 32250

⇒ X = 750

∴ The annual payment is ₹ 750.

Shortcut Trick

Equal Installment = \(\frac{A×200}{T[200+(T-1)R]}\)

⇒ Equal Installment = \(\frac{3225×200}{4[200+(4-1)5]}\) = \(\frac{3225×50}{[200+15]}\)

⇒ Equal Installment = \(\frac{3225×50}{215}\) = 750

The correct answer is 'Karnataka'.

Key Points

• At present, 6 states out of 28 states of India have the Legislative Council. These 6 states are -
• Andhra Pradesh
• Telangana
• Karnataka
• Maharashtra
• Uttar Pradesh
• Bihar
• Jharkhand, Odisha, and Gujarat have a unicameral legislature. These states have a Legislative Assembly only.

Hence, the correct answer is Karnataka.

Additional Information

• Legislative Assembly
• The State Legislative Assembly is a legislative body in the states and union territories of India.
• In the 28 states and 3 union territories with a unicameral state legislature, it is the sole legislative body.
• In 6 states, it is the lower house of their bicameral state legislatures.
• Each Member of the Legislative Assembly (MLA) is directly elected to serve 5-year terms.
• A State Legislative Assembly may be dissolved in a state of emergency, by the Governor at the request of the Chief Minister, or if a motion of no confidence is passed against the ruling majority party or coalition.
• Legislative Council
• The second and upper house of the state legislature is the Legislative Council.
• It is a permanent house. Therefore, the Governor cannot dissolve it.
• According to Article 171(3), the members of the Legislative Council are indirectly elected.
• Each member remains a member of the Legislative Council for 6 years.

Hint

• Trick to remember Indian States with Bicameral Legislature (Legislative Council) -
• KUMBAT
• K - Karnataka
• U - Uttar Pradesh
• M - Maharashtra
• B - Bihar
• A - Andhra Pradesh
• T - Telangana

The correct answer is Mass number.

• The sum of the total number of protons and neutrons present in the nucleus of an atom is known as a Mass number.
• It is denoted by alphabet A.

Additional Information

• Avogadro number implies the total number of units in one mole of any substance. It is equal to 6.022 x 10²³. It is a constant number.
• The atomic number is the number of protons present in the nucleus of an atom. It is denoted by alphabet Z.

Since you suspect that something has been added to the food meant for the devotees, you should immediately prevent the consumption of the food by anyone.

Therefore, option 1 is an appropriate course of action.

Informing the religious leaders or higher administration, or catching the culprit can be done once you ensure that no life is in danger. Therefore, options 2, 3, and 4 are eliminated.

Hence, “option 1” is the correct answer.

Given:

15 workers can build a road in 48 hours

Formula:

M1 × T1 = M2 × T2

M1, M2 = number of workers, T1 and T2 = Time taken

Calculation:

Let x person can complete the same work in 30 hours

According to the question

15 × 48 = x × 30

⇒ x = (15 × 48)/30

⇒ x = 24

∴ Required number of workers is 24.

The correct answer is Current Account Deficit + Fiscal Deficit.

Key Points

• The twin deficit, or double deficit, occurs when a nation has both a  current account deficit and a fiscal deficit.
• This means the country's economy is importing more than it is exporting, and the country's government is spending more money than it is generating.
• Fiscal Deficit - The fiscal deficit is the difference between the government's total expenditure and its total receipts.
• As per the technical definition - Fiscal deficit = Budgetary Deficit + Borrowings and other liabilities of the government.
• Current Account Deficit - The current account measures the flow of goods, services, and investment into and out of the country.
• There is a deficit in current account if the value of goods and services imported exceeds the value of those exported.

The correct answer is It bends towards the normal line.

Key Points

• When light travels from air to glass it bends towards the normal line.

Additional Information 

• Refraction is the change in the direction of a wave passing from one medium to another.
• A light ray refracts whenever it travels at an angle into a medium of different refractive index.
• This change in speed results in a change in direction.
• As an example, consider air travelling into water.
• The speed of light decreases as it continues to travel at a different angle.
• When light travels from air into glass, It bends towards the normal line and the light slows down and changes direction slightly.
• When light travels from a less dense substance to a denser substance, the refracted light bends more towards the normal line.
• If the light wave approaches the boundary in a direction that is perpendicular to it, the light ray doesn’t refract in spite of the change in speed.
• Laws of Refraction of Light
• The incident ray refracted ray, and the normal to the interface of two media at the point of incidence all lie on the same plane.
• The ratio of the sine of the angle of incidence to the sine of the angle of refraction is constant.
• This is also known as Snell’s law of refraction.

The logic followed here is:

Logic: The number of sides is increasing in each subsequent polygon of the series.

Hence, the correct answer is "Option 1".

Shortcut Trick

Required Percentage = (Marks Obtained ÷ Total Marks) × 100

Required Percentage = (345 ÷ 600) × 100

Required Percentage = 345 ÷ 6 = 57.5%

∴ The correct option is A.

Alternate Method

Given:

Marks obtained by Shubham = 345

Total maximum marks = 600

Formula Used:

Percentage = (Value obtained ÷ Total Value) × 100

0
345 (Obtained)
600 (Total)

Percentage = (345 ÷ 600) × 100

Calculations:

⇒ Required Percentage = (345 ÷ 600) × 100

⇒ Percentage = 345 ÷ 6

⇒ Percentage = 57.5%

∴ The correct option is A.

Additional Information

Percentage Change

Percentage Increase/Decrease = (Difference ÷ Original Value) × 100.

Fraction to Percentage Conversion

To convert any fraction x/y into a percentage, multiply it by 100. Example: 1/4 × 100 = 25%.

Decimal to Percentage

Multiply the decimal by 100 and add the % sign. Example: 0.575 × 100 = 57.5%.

The correct option is The earth's axis is tilted.

Concept:

• The Earth is going through two motion simultaneously

1. Rotation about its axis
2. Revolution around the Sun

• Rotation: The axis of the earth which is an imaginary line, makes an angle of 66½° with its orbital plane. The plane formed by the orbit is known as the orbital plane. The earth receives light from the sun.

• This Rotation around its axis makes only half of it get light from the sun at a time and the other half is dark/night.

• Revolution: When the earth revolves around the sun this type of motion of the sun is considered as a revolution around the sun.

Explanation:

• While revolving around the sun, the earth is inclined in the same direction.
• The axis of rotation of the earth is tilted with respect to the plane of its orbit.
• As the earth is tilted some part gets closer and some farther to the sun.
• A year is usually divided into summer, winter, spring, and autumn seasons.
• Seasons change due to the change in the position of the earth around the sun.

• Monosodium glutamate is the chemical name of Chinese salt that we use in preparing Chinese cuisine.
• It is also known as Ajinomoto.
• It helps in enhancing the flavour of the cooked food.
• It is derived from glutamic acid or amino acid glutamate.

Given

Statement:

T = S ≥ N = A ≤ U > P < Q

Conclusion:

I. S > Q → False (S ≥ N = A ≤ U > P < Q → No definite relation can be possible between S and Q).

II. A ≤ T → True → (T = S ≥ N = A gives T ≥ A).

So, only conclusion II is correct.

Hence, the correct answer is option 1).

Given

Ratio of A and B = 9 : 11

Total profit = Rs. 60,000

Calculation

Total share = 9 + 11

⇒ 20

B's share = (11/20) × 60,000

⇒ Rs. 33,000

∴ Share of B's is Rs. 33,000

The correct answer is Bangalore.

Key Points

• The Indian Institute of Science (IISc) is a public, deemed, research university for higher education and research in science, engineering, design, and management.
• IISc is located in Bangalore, in the Indian state of Karnataka.
• The institute was established in 1909 with active support from Jamsedji Tata and thus is also locally known as the "Tata Institute".
• It was granted the deemed-to-be university status in 1958 and the Institute of Eminence status in 2018.

Additional Information

In science, a push or a pull on an object is called force.

The correct answer is Option 2.

The statement only highlights how smart work is helpful when meeting deadlines by saving time.

Hence conclusion I does not follow.

Smart work helps by saving time.

Hence, conclusion II follows.

Formula Used:

Distance = Speed × Time

Calculation:

Let the time for which Shravanthi runs be T hours

According to the question

⇒ (17)T - (5)T = 24

⇒ T = 2 hours

Actual distance = 2 × 5 = 10 km

∴ The actual distance covered by Shravanthi is 10 km.

The Correct Answer is ​Himgiri.

In News

• Navy takes delivery of Project 17A frigate Himgiri from GRSE.

Key Points

• The third ship of the Nilgiri Class (Project 17A) frigates was delivered to the Indian Navy.
• It is the first of the class built at Garden Reach Shipbuilders & Engineers (GRSE), Kolkata.
• Named Himgiri, it is a reincarnation of the erstwhile INS Himgiri, a Leander-class frigate decommissioned on 6^th May 2005 after 30 years of service.
• Project 17A frigates are versatile, multi-mission warships designed to handle current and future maritime challenges.
• Designed by the Warship Design Bureau and overseen by the Warship Overseeing Team, Kolkata.
• The frigate showcases advancements in stealth, firepower, automation, survivability, and modular design.
• Represents Aatmanirbharta (self-reliance) in warship building.
• Construction was completed within envisaged timelines.

The correct answer is 100 kg.

Key Points

• Given: Mass on Earth = 100 kg
• If an object has mass "m "on Earth, the mass would remain the same on the moon.
• ​So the mass of the object on the moon is 100 kg.

Mistake Points

• The weight of the human on the moon will change and will be 1/6^th of the weight on earth because of the moon's weak gravitational impact.
• Weight on Moon = (Mass on Earth) x 1/6
• Weight on Moon = 100 / 6 = 16.7 kg.

Course of action:

1) The automobile and industrial sector is the largest contributor in the Delhi air pollution, dividing the automobiles into groups to be run only on odd and even days, respectively might not be a good idea to reduce pollution. A company can not run like this way. This is not followed.

2. Stopping the registration process will have a major impact on industrial growth and hence this is not followed.

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

Given:

The present ratio of 2 sister's age= 3 : 4

The ratio of their age after 10 years = 4 : 5

Calculation:

Let the present age is 3x  and 4x

According to the question

⇒ (3x + 10)/(4x + 10) = 4/5

⇒ 15x + 50 = 16x + 40

⇒ x = 10 years

3x = 3 × 10 = 30 years

4x = 3 × 10 = 40 years

∴ The present age of sisters is 30 years and 40 years

The correct answer is 99.

Key Points

• Municipality in Madhya Pradesh
• ​It is also known as Nagar Palika.
• It is formed in a very small urban area or city.
• It includes 15-40 wards.
• Composition
• Chairman - elected directly through universal adult franchise
• Deputy chairman
• Chief Municipal Officer - The administrative head of the Municipality.
• Counselors - Elected from each ward
• There is a total of 99 Municipalities in Madhya Pradesh.
• The first Municipality was established in Datia in the year 1907.

Additional Information

• The first Municipality Act in Madhya Pardesh was passed in the year 1956. 
• On the recommendation of the Pandey Committee, another Municipality Act was passed in the state in the year 1961.
• The government of Madhya Pradesh had passed the Municipal Act, 1994 to enforce the 74^th Constitutional Amendment Act 1992.
• The 3-tier system has been implemented in the state Urban local bodies. It includes:
• Nagar Panchayat
• Nagar Palika
• Nagar Nigam

The correct answer is option 4.

Important Points

Celsius and Fahrenheit's temperatures show the same value at -40°.

The conversion formula for Celsius to Fahrenheit is given by:

\(F={9\over5}C +32\)

To find the temperature where both Fahrenheit and Celsius temperatures are equal let \(F=C=x\)

Substituting these values in the equation above we get

\(x-{9\over5}x=32 \)

\({5x-9x\over5}=32\)

\({-4x\over 5}=32\)

\(x=-{5\over 4}\times32=-{160\over4}=-40\)

Therefore -40º is the temperature where Both Celsius and Fahrenheit read the same.

• There are four scales of temperature are Fahrenheit, Celsius, Kelvin, and Rankine.
• When following SI units, Temperature is measured in Kelvins.
• The lower possible temperature that can be achieved is -273.15ºC or 0K and is called absolute zero.

Given: 25 October 2004 was Monday.

Now,

2004 to 2007 = 3 Years (3 Ordinary Years).

And, 3 Ordinary Years have 3 odd days.

then, 25 October 2007 will be Monday + 3 = Thursday.

Now, the number of days between 25 October 2007 to 2 November 2007

= 6 days (October) + 2 days (November) = 8 days.

= 8 days → 8/7 = 1 week and 1 odd days.

So, 2 November 2007 will be Thursday + 1 = Friday.

Hence, the correct answer is "Option 1".

Shortcut Trick

Side of square = √(Area of Rectangle)

Side = √(96 × 54)

Factorizing: Side = √(16 × 6 × 6 × 9)

Side = 4 × 6 × 3 = 72 m

∴ The correct answer is 72 m.

Alternate Method

Given: Length of rectangular field (L) = 96 m, Breadth (B) = 54 m.

Formula Used: Area of Rectangle = Length × Breadth; Area of Square = (Side)².

Square
Side (s)

Rectangle
L = 96 m
B = 54 m

Area 1 = Area 2

⇒ Area of rectangular field = 96 × 54

⇒ Area of rectangular field = 5184 m²

⇒ Area of square park = 5184 m²

⇒ (Side)² = 5184

⇒ Side = √5184

⇒ Side = 72 m

∴ The correct answer is 72 m.

Additional Information

Perimeter of Square and Rectangle

Perimeter of square = 4 × side and Perimeter of rectangle = 2 × (length + breadth).

Diagonal formulas

Diagonal of a square = side × √2 and Diagonal of a rectangle = √(L² + B²).

Area comparison

Among all rectangles with a given perimeter, the square has the maximum area.

The correct answer is option 2.

Key Points

Jageshwari Devi Fair:

• Held in Chanderi, located in the Ashok Nagar district of Madhya Pradesh. Hence, option 2 is correct.
• It is an ancient fair, organized since time immemorial.
• Legend Associated:
• The ruler of Chanderi, a devotee of Jageshwari Devi, suffered from leprosy.
• As per the legend, the goddess instructed him to visit a specific place after 15 days, but the king visited on the third day instead.
• At that time, only the head of the goddess was visible.
• Miracle:
• The king's leprosy was cured, and from that day, the Jageshwari Devi fair began as an act of gratitude and devotion.
• Cultural Significance:
• The fair is a celebration of faith and devotion, attracting devotees and visitors from surrounding regions to pay homage to Jageshwari Devi.

1. Eight people are sitting at a square table.
2. Tina is sitting opposite Urmila, who is sitting between Sharda and Nita.
3. Sharda is diagonally opposite Priya, who is sitting to the right of Vijaya. 

Condition 3 is violated in Case I, so it is eliminated. 4. Vijaya is facing Madhu, who is to the right of Rita. 

Clearly, Rita is sitting diagonally opposite Nita.

Hence, ‘Rita’ is the correct answer.

Given:

Surface area of sphere = 616 cm².

Formula Used:

Surface area of sphere = \(4\pi r^2\)

Calculation:

⇒ Surface area of sphere = \(4\pi r^2\)

⇒ 616 = 4 × \(\frac{22}{7}\) × r²

⇒ 7 × 7 = r²

⇒ r = 7 cm

∴ The radius of sphere is 7 cm.

The correct answer is The Hague.

Key Points

• The International Court of Justice (ICJ) is the principal judicial organ of the United Nations.
• The International Court of Justice was created with an aim to settle the disputes between states in accordance with international law and gives advisory opinions on international legal issues.
• It was established in June 1945
• It is the successor of the Permanent Court of International Justice (PCIJ).
• As of 2024 August, Nawaf Salam is the current President of the International Court of Justice.

Additional Information

• The headquarters of the United Nations Educational, Scientific and Cultural Organization(UNESCO) is located in Paris.
• The headquarters of the International Monetary Fund(IMF) is located in Washington, D.C.
• The headquarters of the United Nations is located in New York City.

The faces that will be opposite to each other when the paper is folded to form a cube is shown below:

1. → The dice cannot be formed as 2 and 1 the faces opposite to each other.
2. → The dice cannot be formed as 5 and 3 the faces opposite to each other.
3. → The dice can be formed.
4. → The dice cannot be formed as 2 and 1 the faces opposite to each other.

Hence, 'option 3' is the correct answer.

Given:

Principal = Rs. 1000

Time = 2 years

Rate of interest = 2%

Formula:

C.I = P × [(1 + r/100)n – 1]

Here,

P = Principal Amount

r = Rate of interest

n = Time in years

Calculation:

We know that -

C.I = P × [(1 + r/100)n – 1]

According to the question,

C.I = 1000 × [(1 + 2/100)2 – 1]

⇒ C.I = 1000 × [(1 + 1/50)2 – 1]

⇒ C.I = 1000 × [(51/50)2 – 1]

⇒ C.I = 1000 × 101/50 × 1/50

⇒ C.I = 40.4

∴ The Interest Amount will be Rs. 40.4.

The correct answer is Tabla.

Key Points

• Tabla musician, composer, percussionist, music producer and actor Ustad Zakir Hussain hails from India.
• He is Ustad Alla Rakha's oldest son, a tabla player.
• In 1988, he received the Padma Shri, and in 2002, he received the Padma Bhushan.
• In 1990, he also received the Sangeet Natak Akademi Award.
• He received the National Heritage Fellowship from the National Endowment for the Arts of the United States in 1999.
• The line "Zakir Hussain Tabela Ivaltana" in the Tamil song "Telephone Manipol" in the Indian film directed by S.Shankar is a tribute to him.

Additional Information

• Hindustani classical harmonium player R. K. Bijapure was from India.
• Indian classical musician and santoor player Pandit Shivkumar Sharma played both instruments.
• Sharma received the Padma Shri in 1991, the Padma Bhushan in 2001, and the Sangeet Natak Akademi Award in 1986.
• Indian classical flautist and music director Hariprasad Chaurasia plays the flute.
• In 1984, he was awarded the Sangeet Natak Academy, and in 1992, the Padma Bhushan.

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. No cushion is a blanket → Follow (As all cushions are sheets and no sheet is a blanket. As whole cushions comes in sheets which can not be blanket, therefore no cushion is blanket is true.)

II. Some pillows are sheets → Does not follow (As all cushions are sheets and no pillow is a cushion. It is possible but not definite.)

∴ Here, Only conclusion I follows.

Hence, "Option 4" is the correct answer.

Shortcut Trick

New observation = New average + (Original count × Increase in average)

Increase in average = 46.5 − 33.8 = 12.7

New observation = 46.5 + (5 × 12.7)

New observation = 46.5 + 63.5 = 110

∴ The correct answer is 110.

Alternate Method

Given:

Initial average of 5 numbers = 33.8

New average after adding 1 observation = 46.5

Formula Used:

Total Sum = Average × Number of observations

⇒ Total sum of 5 numbers = 33.8 × 5 = 169

⇒ Total sum of 6 numbers = 46.5 × 6 = 279

⇒ Value of new observation = Total sum of 6 numbers − Total sum of 5 numbers

⇒ New observation = 279 − 169 = 110

∴ The correct answer is 110.

Additional Information

Basic Average Property

The Average (Arithmetic Mean) is the Sum of all observations divided by the total Number of observations. Formula: Average = Σx ÷ n.

Net Deviation Method

The sum of deviations of all items from the mean is always zero. If a new item is added, its value equals the New Average plus the Total Deviation it covers for the previous items.

Weighted Average

When two groups with averages A₁ and A₂ and sizes n₁ and n₂ are combined, the combined average is (n₁A₁ + n₂A₂) ÷ (n₁ + n₂).

The correct answer is Afghanistan.

Key Points

• Afghanistan has Snow Leopard as its national animal.
• Some facts about Afghanistan:

Additional Information

Some facts about China:

Facts about Pakistan:

Some facts about Bangladesh:

The logic follows here is :-

Family Chart :

Family Tree :

Thus, the correct answer is 'Nephew'.

Given: 

5.035 + 50.35 + 503.50 - 20.60

Concept used:

Calculation:

5.035 + 50.35 + 503.50 - 20.60

⇒ 5035 × (0.001 + 0.01 + 0.1) - 20.60

⇒ 5035 × 0.111 - 20.60

⇒ 558.885 - 20.60

⇒ 538.285

∴ The value of (5.035 + 50.35 + 503.50 - 20.60) is 538.285.

From the given information:

Step 1: U is sitting to the immediate left of X.

Step 2: Y is sitting between X and W

Now we place V at the only spot left,

From the arrangement we can see that, U is sitting at the immediate right of V.

Hence, the correct answer is option 3).