MP Police Constable : (28 Nov 2025) Memory-Based Paper (Previous Year Paper)

The correct answer is To make a balance in the administrative weights of the government.

• Facilitating the government's administrative weight was not the motive behind Lord Curzon's partition of Bengal.

Key Points

• The decision to partition Bengal was taken in the year 1905 by the then Viceroy Lord Curzon.
• Bengal was divided into two parts to divide the Muslim dominated area into a separate province.
• The proposal for partition came into effect on October 16, 1905. It was called 'Bangabhang'.

The correct answer is Potassium iodide.

Key Points

• Iodised salt:
• Iodised salt is table salt mixed with a trivial amount of various salts of the element iodine.
• The ingestion of iodine inhibits iodine deficiency.
• Worldwide, iodine deficiency affects about two billion people and is the salient preventable cause of intellectual and developmental disabilities.
• Deficiency also causes thyroid gland issues, including "endemic goitre".
• In many countries, iodine deficiency is a primary public health problem that can be cheaply addressed by purposely adding small amounts of iodine to the sodium chloride salt.
• Potassium iodide:
• Potassium iodide is a salt of stable (not radioactive) iodine that can help block radioactive iodine from being absorbed by the thyroid gland, thus protecting this gland from radiation injury.
• The thyroid gland is the part of the body that is most sensitive to radioactive iodine.
• KI (potassium iodide) does not keep radioactive iodine from entering the body and cannot reverse the health effects caused by radioactive iodine once the thyroid is damaged.
• KI (potassium iodide) only protects the thyroid, not other parts of the body, from radioactive iodine.

Additional Information

• Iodine:
• Iodine (I), chemical element, a member of the halogen elements, or Group 17 (Group VIIa) of the periodic table.
• Iodine is never found in nature uncombined, and it is not concentrated sufficiently to form independent minerals.
• It is present in seawater, but sparingly, as the iodide ion, I^-, to the extent of approximately 50 mg per metric ton (0.0016 ounces per ton) of seawater.
• It is also formed in seaweeds, oysters, and cod livers.
• Sodium iodate (NaIO₃) is contained in crude Chile saltpetre (sodium nitrate, NaNO₃).
• The human body contains iodine in the compound thyroxine, which is produced in the thyroid gland.
• Calcium iodide:
• Calcium iodide is an inorganic compound that is made of calcium and iodine.
• It has the chemical formula CaI₂.
• Calcium iodide can be formed using either calcium oxide, calcium carbonate or calcium hydroxide with hydrochloric acid.
• Calcium iodide is used in medicines.
• It is used in photography.
• Magnesium iodide:
• Magnesium Iodide formula, also known as Diiodomagnesium formula is discussed in this article.
• This chemical compound has various hydrates which are typical ionic halides and do not dissolve in water.
• The molecular or chemical formula of Magnesium Iodide is MgI₂ (anhydrous).
• Diiodomagnesium is a crystalline solid white in colour and has no smell.
• It can be synthesized by using magnesium oxide, magnesium carbonate, and magnesium hydroxide and treating them with hydroiodic acid.
• It is widely used to produce organic synthesis compounds.

According to given conditions,

Hence, Brunda is ‘granddaughter’ of Mohan.

Given:

tanθ = \(\frac{\sqrt{5}}{2}\) and θ is an acute angle

Concept used:

sec2θ - tan2θ = 1

Calculation:

tanθ = \(\frac{\sqrt{5}}{2}\)

According to the concept,

sec2θ - (\(\frac{\sqrt{5}}{2}\))²= 1

⇒ sec2θ - \({5 \over 4}\) = 1

⇒ sec2θ = 1 + \({5 \over 4}\)

⇒ sec2θ = \({4 + 5 \over 4}\)

⇒ sec2θ = \({9 \over 4}\)

⇒ secθ = \(\frac{3}{2}\) (∵ θ is an acute angle)

∴ The value of secθ is \(\frac{3}{2}\).

Alfanso de Albuquerque-Portuguese governor of Goa 1^st to ban sati in 1515(Precursor of Lord William Bentick).He was called as the ceaser of east.

The correct answer is to Carry out metabolic reactions in our body**.**

 Key Points

• Vitamins and minerals are essential nutrients that help our body to carry out metabolic reactions.
• These nutrients are required for the proper functioning of enzymes and hormones that regulate various physiological processes in our body.
• They also play a crucial role in maintaining the health of our bones, muscles, and immune system.
• Vitamins and minerals are found in a variety of foods, such as fruits, vegetables, whole grains, dairy products, and lean meats.

Additional Information

• Proper breathing is mainly regulated by the respiratory system, which involves the lungs, bronchi, and trachea..
• Sweating is a natural process of the body that helps to regulate body temperature and remove toxins.
• Fat storage is regulated by various hormones, such as insulin and leptin, that are produced by the endocrine system.

• The correct answer is Option 1: took the substitute player, played the match, and won it.

• Qualities Projected in this situation:  (Determination, Effective intelligence, speed of decision, 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:

Probability of an event P(A) = (number of favourable events)/(total number of events)

Calculation:

If a dice is thrown, the total number of events (1, 2, 3, 4, 5, 6) is 6

So, the total number of events that have prime number is (2, 3, 5) is 3

So, the required  probability = 3/6 = 1/2

∴ The correct answer is 1/2

Bicameral legislature:

• refers to a particular body of government that consists of two legislative houses.
• Two houses in the state legislature are:
• Legislative Assembly and
• Legislative Council
• For eg: Bihar, Andhra Pradesh, Telangana, Karnataka, Maharashtra, and Uttar Pradesh
• Madhya Pradesh doesn’t have a bicameral legislature.

The correct answer is peanuts.

Key Points

• Tikka disease is a serious disease occurring in the groundnut-growing areas in India.
• Peanut leaf spots (early leaf spots and late leaf spots) are commonly called. " Tikka" disease.
• It causes almost complete discolouration and yields a loss of 50 percent or more depending on the severity of the disease.
• Leaf spot disease is affected by epidemic weather parameters such as hot and wet conditions.
• Young spots lack a bright yellow aura, which develops around older people.

Additional Information

• Peanuts, which peanuts, Pindar, or monkey nut (UK) is also known as**,** and Taxonomic from the Arcis Haipogia is classified as, mainly from food seeds for a harvest of crops grown for Is.
• The world's annual production of shell peanuts in 2016 was 44 million tonnes, led by China with 38% of the world's total.
• In India, Gujarat is the largest producer of groundnuts.
• Andhra Pradesh is the second-largest producer of groundnut.
• The Peanut Research Directorate is located in Junagadh, Gujarat.

The logic followed here is:

First number × 5 + 5 = Second Number

• 20 ∶ 105 → 20 × 5 + 5 = 100 + 5 = 105
• 30 ∶ 155 → 30 × 5 + 5 = 150 + 5 = 155

Similarly,

• 50 ∶ ? → 50 × 5 + 5 = 250 + 5 = 255

Hence, '255' is the correct answer.

Shortcut Trick

Value ratio = (1 × 8)  ∶  (2 × 5)  ∶  (5 × 3) = 8  ∶  10  ∶  15

Total value in ratio units = 8 + 10 + 15 = 33 units

33 units = ₹132 ⇒ 1 unit = ₹4

Number of ₹5 coins = 3 ratio units × 4 = 12 coins

∴ The correct answer is 12 coins.

Alternate Method

Given:

Denominations = ₹1, ₹2, ₹5

Ratio of number of coins = 8  ∶  5  ∶  3

Total amount in purse = ₹132

Formula Used:

Total Value = Number of Coins × Denomination Value

Calculation:

Let the number of ₹1, ₹2, and ₹5 coins be 8x, 5x, and 3x respectively.

⇒ Total value of ₹1 coins = 1 × 8x = 8x

⇒ Total value of ₹2 coins = 2 × 5x = 10x

⇒ Total value of ₹5 coins = 5 × 3x = 15x

⇒ Total value of all coins = 8x + 10x + 15x = 33x

⇒ 33x = 132

⇒ x = 132 ÷ 33

⇒ x = 4

⇒ Number of ₹5 coins = 3x

⇒ Number of ₹5 coins = 3 × 4 = 12

∴ The correct answer is 12 coins.

Additional Information

Ratio of Values vs Ratio of Coins

When the ratio of coins is given, multiply it by the respective denominations to get the ratio of their values. If the ratio of values is given, divide by the denomination to get the coin count ratio.

Proportions in Coin Problems

The total sum of money must always be equated to the sum of the monetary value of individual denominations to find the base multiplier constant (x).

The correct answer is Dr. B. N. Rau.

Key Points

• While formulating the Indian Constitution in 1946, Dr. B.N. Rau was appointed as Constitutional Adviser to the Constituent Assembly.
• He was responsible for the general structure of its democratic framework of the Constitution and prepared its initial draft in February 1948.
• This plan was debated, amended, and eventually approved by the Constituent Assembly of India on 26 November 1949.
• Resolution of the Constituent Assembly forming the Drafting Committee on 29 August 1947**, under the chairmanship of B.R. Ambedkar.**
• The Indian Constituent Assembly was chosen to draft the Constitution of India.
• Following India's independence from the British Government in 1947, its members acted as the first parliament of the country.
• In 1934, the Constituent Assembly was proposed by M. N. Roy, a hero of the Communist revolution in India and a proponent of social democracy.
• In 1935, it became the official demand of the Indian National Congress.
• On 15 November 1939, Rajagopalachari asked for an Adult Franchise Constituent Assembly, which was approved by the British in August 1940.

Additional Information

• Koka Subba Rao was the ninth Chief Justice of India (1966-1967).
• He has served as Chief Justice of the High Court of Andhra Pradesh.
• Kanhaiyalal Maneklal Munshi was an Indian independence movement activist, politician, writer, and educator from Gujarat.
• A lawyer by profession, he later turned to a writer and politician.
• It is a well-known name in Gujarati literature.
• In 1938, he founded Bharatiya Vidya Bhavan, an educational trust.
• Dr. Rajendra Prasad was the first President of India to serve from 1950 to 1962.

• Dentists use Concave mirror to view enlarged images of teeth.
• A spherical mirror, whose reflecting surface is curved inwards, that is, faces towards the centre of the sphere, is called a concave mirror.
• Concave mirrors are commonly used in torches, search-lights and vehicle headlights to get powerful parallel beams of light.
• They are often used as shaving mirrors to see a larger image of the face.
• Large concave mirrors are used to concentrate sunlight to produce heat in solar furnaces.

Image formation by a concave mirror for different positions of the object:

Hence, there are 18 triangles.

CONCEPT:

The discount rate is applied on the current selling price of an item. The new rate after the application of the discount would be SP – (d × SP) where SP is the current selling price and d is the discount rate in percentage

EXPLANATION:

Let SP be the selling price of the item. After the first discount of 25%, it would become SP₁ and after the second discount of 20% it would become SP₂. The net discount then can be calculated by SP - SP₂

CALCULATION:

SP₁ = SP – {(25/100) × SP}

⇒ SP₁ = SP – (0.25 × SP)

⇒ SP₁ = 0.75 × SP

SP₂ = SP₁ – {(20/100) × SP₁}

⇒ SP₂ = 0.75 × SP – {(20/100) × 0.75 × SP}

⇒ SP₂ = 0.75 × SP – (0.20 × 0.75 × SP)

⇒ SP₂ = 0.75 × SP – (0.15 × SP)

⇒ SP₂ = 0.60 × SP

Net discount = SP – SP₂

⇒ SP – (0.60 × SP)

⇒ 0.40 × SP

⇒ (40/100) × SP

⇒ 40% of SP

Hence D is the answer

Formula of successive discount = a + b - (a × b)/100

Here, a = 25% and b = 20%

⇒ 25 + 20 - (25 × 20)/100 = 45 - 5 = 40%

The correct answer is A and C only.

Key Points

• The correct answer is option 3 (A and C only).
• The Finance Commission of India is a Constitutional body established under Article 280 of the Indian Constitution.
• The Commission consists of a Chairman and four other members appointed by the President of India.
• The recommendations made by the Finance Commission are advisory in nature and not binding on the government.
• The government may accept or reject the recommendations.
• The Commission recommends the distribution of taxes between the Centre and the States, grants-in-aid to the States, and other fiscal matters.
• The Finance Commission is constituted every five years.

Additional Information

• The President of India constitutes the Finance Commission every 5 years.
• The finance commission is a constitutional body mandated by article 280 of the constitution.
• The recommendations made by the Finance Commission are of an advisory nature only and therefore, not binding upon the government.
• It submits its report to the President of India.
• The first Finance Commission was constituted in 1951.
• The eligibility of members of the Finance Commission is determined by the Parliament of India.
• Chairman of the Finance Commission submits his report to the President of India.
• Composition: Chairman and 4 members.

The correct answer is rolling friction.

Key Points

• For a moving solid body, there are 2 principal types of friction are following
• Rolling friction
• Sliding friction
• On a surface, The force resisting the motion of a rolling body is known as Rolling resistance or Rolling friction.
• The Rolling of a wheel or ball on the ground is an example of Rolling friction.
• In Sliding friction, there is a restriction on the movement of the body as only one side of the body is in contact with the surface.
• An example of Sliding friction is Pushing a box across the table.
• Rolling resistance is weaker than sliding friction.

Additional Information

• When 2 surfaces are rubbed against each other, Sliding friction takes place.
• When an object rolls on the surface, Rolling friction takes place.
• Because of rolling friction, A basketball rolled on the court will eventually come to a halt.
• A broad tire bike will burn extra fuel because of the increased Rolling friction.

So, the arrangement of the following words in a logical and meaningful order will be:

5. First we see the biggest unit used is Kilometer for measuring long distances.

6. Then, we have 100 Meter used.

7. After that we use Meter to measure small distance or length between two things.

8. After that, we have Centimeter (1cm = 100 m) mostly used to measure very small distances.

9. Last we have Millimeter which is the smallest unit out the given units.

Thus, the order of the words is '5, 3, 1, 4, 2'.

Hence, the correct answer is 'option 4'.

Shortcut Trick

Relative Speed (m/s) = Total Distance ÷ Total Time

Total Distance = 100 + 120 = 220 m

Relative Speed = 220 ÷ 6 = 110/3 m/s = (110/3) × (18/5) = 132 kmph

Speed of second train = 132 − 50 = 82 kmph

∴ The correct answer is 82 kmph.

Alternate Method

Given: Length of Train 1 (L₁) = 100 m, Speed (S₁) = 50 kmph. Length of Train 2 (L₂) = 120 m, Speed (S₂) = x kmph. Time taken to cross = 6 seconds.

Formula Used: Time = (L₁ + L₂) ÷ Relative Speed

⇒ Total Distance = 100 + 120 = 220 m

⇒ Let Speed of second train be x kmph.

⇒ Relative Speed = (50 + x) kmph = (50 + x) × (5/18) m/s

⇒ 6 = 220 ÷ [(50 + x) × (5/18)]

⇒ 6 × (50 + x) × 5 = 220 × 18

⇒ 30 × (50 + x) = 3960

⇒ 50 + x = 3960 ÷ 30

⇒ 50 + x = 132

⇒ x = 132 − 50 = 82 kmph

∴ The correct answer is 82 kmph.

Additional Information

Relative Speed Concept

When objects move in opposite directions, Relative Speed = S₁ + S₂. In same direction, Relative Speed = |S₁ − S₂|.

Unit Conversion

To convert kmph to m/s, multiply by 5/18. To convert m/s to kmph, multiply by 18/5.

Crossing Distance

When a train crosses another train or a bridge, the Total Distance is always the sum of their individual lengths.

The correct answer is Luzon Strait.

Key Points

In News :

• Recently, China warned off a USA warship sailing near contested Paracel islands in the South China Sea (SCS).

Important Points South China Sea

• Location:
• The South China Sea is an arm of the western Pacific Ocean in Southeast Asia.
• It is south of China, east & south of Vietnam, west of the Philippines, and north of the island of Borneo.
• It is connected by Taiwan Strait with the East China Sea and by Luzon Strait with the Philippine Sea.
• Bordering states & territories (clockwise from north):
• The People’s Republic of China, the Republic of China (Taiwan), the Philippines, Malaysia, Brunei, Indonesia, Singapore, and Vietnam.
• Strategic Importance:
• This sea holds tremendous strategic importance for its location as it is the connecting link between the Indian Ocean and the Pacific Ocean (Strait of Malacca).
• Hence option 2 is correct.

Additional Information

• Sunda Strait

• Sunda Strait, Indonesian Selat Sunda, is a channel, 16–70 miles (26–110 km) wide, between the islands of Java (east) and Sumatra.

• The Sunda Strait is an important passage connecting the Indian Ocean with eastern Asia.

• Taiwan Strait

• The Taiwan Strait, also known as the Formosa Strait, is a 180-kilometre-wide strait separating the island of Taiwan and continental Asia.

• The strait is currently part of the South China Sea and connects to the East China Sea to the north.

• The narrowest part is 130 km wide.

• Tsushima Strait

• Tsushima Strait or Eastern Channel is a channel of the Korea Strait, which lies between Korea and Japan, connecting the Sea of Japan, the Yellow Sea, and the East China Sea.

​Source -

https://www.thehindu.com/news/international/beijing-warns-off-us-warship-in-s-china-sea/article33762768.ece

The correct answer is Blood.

Key Points

• Thalassemia is a hereditary disease that affects the blood.
• Thalassemia is a blood disorder passed down through families i.e., Inherited.
• It makes the body in an abnormal form or inadequate amount of hemoglobin.
• Hemoglobin is the protein in Red Blood Cells that carry oxygen.
• The disorder results in a large number of Red Blood Cells being destroyed, which leads to Anemia

Additional Information

• Different diseases:
• Lungs Diseases - Asthma, Bronchitis, Pneumonia, Chronic obstructive pulmonary disease.
• Heart Diseases - Coronary Artery Disease, Heart Arrhythmias, Heart Failure, Heart Valve Disease, Pericardial Disease, Cardiomyopathy, Congenital Heart Disease.

Given series: (8, 39, 5)

The pattern followed here is,

(Difference between squares of first and last term = Middle term)

8² → 64; 5² → 25;

64 - 25 = 39

Option 1:

11² → 121; 8² → 64;

121 - 64 = 57 ≠ 67

Option 2:

9² → 81; 4² → 36;

81 - 36 = 45 ≠ 55

Option 3:

14² → 196; 9² → 81;

196 - 81 = 115

Option 4:

10² → 100; 6² → 36;

100 - 36 = 64 ≠ 60

Hence, the correct answer is (14, 115, 9).

Shortcut Trick

To find the time taken by tap B alone when the combined time and one individual time are known, use the Product/Difference formula.

Time for tap B = (Time_A+B × Time_A) ÷ (Time_A − Time_A+B)

⇒ (20 × 30) ÷ (30 − 20)

⇒ 600 ÷ 10 = 60 min

∴ The correct answer is 60 min.

Alternate Method

Given:

Time taken by tap A and B together = 20 min

Time taken by tap A alone = 30 min

We use the LCM method to determine the total capacity (Total Work) of the pot.

Calculations:

⇒ Efficiency of tap A = 2 units/min

⇒ Combined efficiency of tap A and tap B = 3 units/min

⇒ Efficiency of tap B = (Efficiency of A + B) − (Efficiency of A)

⇒ Efficiency of tap B = 3 − 2 = 1 unit/min

⇒ Time taken by tap B alone = Total Work ÷ Efficiency of B

⇒ Time = 60 ÷ 1 = 60 min

∴ The correct answer is 60 min.

Additional Information

Pipes and Cisterns Concept

Efficiency of an inlet pipe is taken as positive, while the efficiency of an outlet (leakage) pipe is taken as negative when calculating total work per unit time.

Work and Efficiency Relationship

Time taken is inversely proportional to efficiency. If the ratio of efficiencies of two taps is x : y, the ratio of time taken to fill the same pot will be y :

x. Alternative Formula

If two taps fill a tank in x and y minutes respectively, then the time taken together is (x × y) ÷ (x + y). If one fills and one empties, the net time is (x × y) ÷ |x − y|.

The correct answer is Pingali Venkayya.

Important Points

• Pingali Venkayya is the freedom fighter who designed and handed over the tricolour (which later became the national flag) to Mohandas Karamchand Gandhi.
• Venkayya was educated at Cambridge and grew up to become a polymath with interests in geology, agriculture, education and languages.
• He met Mahatma Gandhi in South Africa during the Second Boer War (1899-1902) when he was posted there as part of the British Indian Army.
• In 1916, he also published a booklet on flags of other nations with various samples.

Additional Information

• In 1921, Venkayya met Gandhi in Vijayawada and presented a rudimentary design of the flag. The flag was consisted of two red and green bands to symbolise Hindus and Muslims.
• However, Gandhi made some changes to it. He added a white band to symbolise peace and a charkha to represent self-reliance on the recommendations of Lala Hansraj.

The correct answer is Chemical Potential Energy.

Key Points

• Chemical Potential Energy:
• It takes energy to make these molecules and hold them together.
• The energy stored in molecules is called chemical potential energy.
• During combustion, bonds are broken and reformed creating new products.
• The energy stored in gasoline is released by burning it (combustion).
• During combustion, chemical bonds are broken and reformed (changing gasoline into byproducts such as water and carbon dioxide) releasing energy.

Additional Information 

• Gravitational potential energy: 
• When something is lifted, work is done on the object against the pull of gravity.
• This work is converted to a form of potential energy called gravitational potential energy.
• When the item falls towards Earth like an apple from a tree, gravitational potential energy is converted into kinetic energy.
• Elastic Potential Energy:
• A stretched rubber band has the potential to do work or change things. This form of energy is called elastic potential energy.
• It occurs when an object (such as our skin, a spring, a trampoline, or a rubber band) resists being stretched out of shape.
• The elastic potential energy in a rubber band can be used to do work.
• Kinetic energy:
• Kinetic energy is defined as the energy of a moving object.
• A thrown football, a speeding automobile, a marathon runner, or a rock falling from a cliff, are examples of objects that have kinetic energy.

Given:

Statement:

"If you work hard with determination and dedication, you can crack the entrance exam." Raju gives advice to Shyam.

Assumptions:

I. Hard work leads to success - Implicit (Because, it directly reinforces the causal relationship mentioned in the statement. It aligns with the message Raju is trying to convey, making it an implicit assumption)

II. Shyam listens to Raju - Not Implicit (Because, it does not have a direct connection to the cause-and-effect relationship presented in the statement. While listening to advice might be relevant for improving, the statement itself doesn't necessarily imply that Shyam is receptive to Raju's guidance.)

So, Only assumption I is implicit.

Hence, the correct answer is "Option 1".

Using, BODMAS rule,

Any mathematical 'Of' or 'Exponent' must be solved before division.

Given expression is,

\(80\;of\frac{1}{{40}} \div \frac{1}{4} = \left( {80 \times \frac{1}{{40}}} \right) \div \frac{1}{4} = 2\; \div \frac{1}{4} = 2 \times 4 = 8\)

The correct answer is Ladakh.

Key Points

• Zoji La Pass connects Srinagar and Leh.
• In Ladakh, Zoji La is a high mountain pass, located on National Highway 1 between Srinagar and Leh in the western section of the Himalayan mountain range.
• It provides a vital link between Kashmir Valley and Ladakh.
• It runs at an elevation of approximately 3,528 meters.
• It is the second-highest pass after Fotu La on the Srinagar-Leh National Highway.

The correct answer is Common cold.

• The disease that is caused by viral infection is the Common cold.

Key Points

• Virus:
• The virus was discovered by Russian scientist Ivanovsky.
• In nature, there are ultra-microscopic particles known as viruses.
• Viruses are a connecting link between living and nonliving organisms.
• Characteristics of Virus:
• They become active inside living cells.
• Nucleic acids replicate themselves and reproduce rapidly.
• They cause diseases like bacteria and fungi.
• In man viruses cause diseases like mumps, chickenpox, hepatitis, polio, AID, and Herpes.
• Bacteriophages: Bacteriophages are those viruses that infect bacteria.
• Example: Tobacco mosaic virus.

Additional Information

• Cholera, typhoid, and Tetanus are caused by bacteria.
• Bacteria:
• It was discovered by Antonie van Leeuwenhoek.
• Leeuwenhoek is called the father of Bacteriology.

The correct answer is Option 2: Explain the reason in private and request him not to shout in front of others.

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

Key Points

• Checklist for attempting SRT questions:

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

Additional Information

Officer qualities:

Shortcut Trick
Profit = 20% = 1/5 (Ratio of Profit to CP)
Ratio of CP : SP = 5 : (5 + 1) = 5 : 6
6 units = ₹540
1 unit = 540 ÷ 6 = 90
5 units = 5 × 90 = 450
∴ The correct answer is ₹450.
Alternate Method
Given: Selling Price (SP) = ₹540, Profit Percentage = 20%
Formula: CP = [SP ÷ (100 + Profit%)] × 100

Cost Price (100%)
+20%

Sale Price = ₹540 (120%)

Base
CP Value

⇒ CP = [540 ÷ (100 + 20)] × 100
⇒ CP = [540 ÷ 120] × 100
⇒ CP = 4.5 × 100
⇒ CP = ₹450
∴ The correct answer is ₹450.
Additional Information
Profit and Loss Basics
Profit occurs when SP > CP. Profit = SP − CP. Profit% is always calculated on the CP: (Profit ÷ CP) × 100.
Loss Percentage Formula
When SP < CP, Loss = CP − SP. Loss% = (Loss ÷ CP) × 100. Similarly, CP = [SP ÷ (100 − Loss%)] × 100.
Successive Discounts
If two discounts d1 and d2 are given, the effective discount = d1 + d2 − (d1 × d2) ÷ 100.

The correct answer is Tata Elxsi

In News

• Tata Elxsi and Garuda Aerospace signed an MoU at Aero India 2025 to advance indigenous UAV innovation.

Key Points

• A Centre of Excellence (CoE) will be established for drone design, development, and certification for defence, agriculture, and smart city applications.
• Tata Elxsi will lead UAV design, testing, and certification, focusing on avionics, miniaturization, secured communication, and energy-efficient propulsion.
• AI-driven solutions, digital twin technology, and advanced battery management will enhance efficiency, cutting energy consumption and costs by 20%.
• Garuda Aerospace will focus on market expansion and deployment, targeting defence, surveillance, precision agriculture, and logistics.
• The initiative supports India’s ‘Make in India’ vision, strengthens defence and Border Security Force capabilities, and creates aerospace jobs.
• Garuda Aerospace, India’s top drone startup, has 400+ drones and 500 pilots and is the first Indian company with DGCA Type Certification.

The correct answer is Edward Jenner.

Key Points

• The immunization technique was developed by Edward Jenner.
• Edward Jenner was an English physician and scientist.
• He was the pioneer of the smallpox vaccine.
• Louis Pasteur discovered that microbes were responsible for souring alcohol.
• He came up with the process of pasteurization.

Additional Information

• Antonie van Leeuwenhoek is considered a father of microbiology.
• Robert Koch is known for isolating the tuberculosis bacterium, the cause of numerous deaths in the mid-19^th century.
• He won the Nobel Prize in 1905 for his work.

Decoding symbols:

Given: P ÷ Q × R − M + T

P ÷ Q → P is the mother of Q.

Q × R → Q is the brother of R.

R − M → R is the sister of M.

M + T → M is the son of T.

Thus, T is P's husband.

Hence, the correct answer is "Option 4"

Given:

The average weight of P, Q, and R = 51 kg

The average weight of P and Q = 45 kg

The average weight of Q and R = 46 kg

Concept used:

 Average = (Sum of observations / Number of observations)

Calculation:

The total sum of weights of P, Q, and R =  51 x 3 = 153 kg

Total sum of weights of P and Q = 45 x 2 = 90 kg

Weight of R = 153 - 90 = 63 kg

Total weight of Q and R = 46 x 2 = 92

Weight of Q = 92 - 63 = 29 kg

∴ The answer is 29 kg.

The correct answer is Option 2

Key PointsMadhya Pradesh State Food Commission:

• The tenure of the chairman and members of Madhya Pradesh State Food Commission is determined by the state government.
• Composition: Chairman+5 members+Secretary.
• It is necessary to have at least 2 women and one member of Scheduled Caste and one member of Scheduled Tribe in the Commission whether it is the Chairman, Member, or Member Secretary.
• Tenure: 5 years or 65 years of age, whichever is earlier.
• Removal and Resignation: State Government.
• Salary and allowances: Decided by State Government.
• Powers: The powers of the Civil Court will be given under the Code of Civil Procedure 1908.

Functions of the commission:

• Monitoring and evaluating the implementation of this Act concerning the State.
• Investigating violations of persons by self-motivation or on receipt of the complaint.
• Advising the State Government for effective implementation of this Act.
• Hearing of appeals against orders of District Grievance Redressal Officer.
• Preparation of annual report which the Government shall place before the State Legislature.

Additional Information 

• Section 16 of the National Food Preservation Security Act 2013 provides for the State Food Preservation Commission.
• The Madhya Pradesh government has constituted the Madhya Pradesh Food Preservation Commission on 11 April 2017.
• Madhya Pradesh Food Preservation Commission is situated in Bhopal.
• Chairman - Virendra Kumar Malhotra. Hence option 2 is correct

The correct answer is AB negative.

Key Points

• The ABO blood group system is widely credited to have been discovered by the Austrian scientist Karl Landsteiner, who identified the O, A, and B blood types in 1901.
• The basis of ABO grouping is of two antigens- Antigen A and Antigen B.
• The ABO grouping system is classified into four types based on the presence or absence of antigens on the red blood cells surface and plasma antibodies.
• Group A – contains antigen A and antibody B.
• Group B – contains antigen B and antibody A.
• Group AB – contains both A and B antigens and no antibodies (neither A nor B).
• Group O – contains neither A nor B antigen and both antibodies A and B.
• AB negative:
• AB Negative (AB-) is the rarest blood type in the world**.**
• AB- donors are the universal plasma and platelet donors, meaning any patient can receive their plasma and platelets.
• AB positive blood type is known as the “universal recipient” because AB positive patients can receive red blood cells from all blood types.
• Donors with type O- red blood cells are referred to as "universal donors" and their red blood cells can be given to any other blood type.

​

Additional Information

• O positive:
• Type O positive blood is the maximum found more than any other blood type.
• So it’s considered the **most needed blood type.**​
• A positive:
• Blood group A+ contains type-A antigen.
• It is one of the **most common blood types.**​
• B positive:
• B+ blood has a very high demand for medical and surgical conditions.
• B+ can give blood to other B+ and AB+ recipients.
• B+ can only receive blood from **B or O blood types.**​​

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

Clearly, Gentleman is the uncle of Abdul.

Hence, "UNCLE" is answer.

Given:

Ratio of CP and MP = 5 ∶ 8

Discount % = 20%

Profit = Rs. 70

Concept:

The difference of CP and SP is profit. After the discount is subtracted from MP, we get the SP. Use a constant in place of ratio then calculate the SP and CP.

Formula used:

SP = MP - Discount

Profit = SP - CP

Calculation:

Let the CP and MP = 5x and 8x.

Discount = 20% of 8x = 8x / 5

∴ SP = MP - Discount = 8x - 8x / 5 = 32x / 5

∵ Profit = SP - CP

⇒ 70 = 32x / 5 - 5x

⇒ 70 = (32x - 25x) / 5

⇒ 70 × 5 = 7x

⇒ x = 50

∴ CP = 5x = 5 × 50 = Rs. 250

The correct answer is Betul.

Key Points

• ​Dhokra Art is famous in Betul district in Madhya Pradesh.
• It is a non-ferrous metal molding craft.
• It is created using the lost wax casting technique.
• This craft is famous among the Bharewas tribal community (Sub-tribe of Gonds).
• It includes the villages of Amla, Tigaria, Barkhed, Chunahazuri, and Kamleshara.
• The artists generally make ceremonial items like dagger worn by the groom, oil lamps gifted to the bride, and jewelry for tribal gods.

Important Points

• Process of making Dhokra Art:
• The mixture of beeswax and saras is boiled to make a thick paste.
• It is then pressed by the strainer to get fine threads.
• The artist takes a mixture of mud and cow dung to give it a shape.
• In the next step, the wax thread is coiled around it.
• Again a mud coating is done and then it is left to dry.
• Then, it is placed in the furnace to bake.
• Once baked, its outer layer is removed and Dhokra is ready.

The correct answer is Silicon.

Key Points

• Semiconductors are materials that have a conductivity between conductors (generally metals) and nonconductors or insulators (such as most ceramics).
• Semiconductors can be pure elements, such as silicon or germanium, or compounds such as gallium arsenide or cadmium selenide.
• Examples of Semiconductors:
• Gallium arsenide, germanium, and silicon are some of the most commonly used semiconductors.
• Silicon is used in electronic circuit fabrication and gallium arsenide is used in solar cells, laser diodes, etc.

Additional Information

• Silicon
• ​Silicon is a chemical element with the symbol Si and atomic number 14.
• It is a hard, brittle crystalline solid with a blue-grey metallic lustre, and is a tetravalent metalloid and semiconductor.
• It is a member of group 14 in the periodic table: carbon is above it; and germanium, tin, and lead are below it.
• Phosphorus is a chemical element with the symbol P and atomic number 15.
• Elemental phosphorus exists in two major forms, white phosphorus and red phosphorus, but because it is highly reactive, phosphorus is never found as a free element on Earth.
• Symbol: P
• Atomic mass: 30.973762 u
• Atomic number: 15​

The logic is:

12 : 60 → 12 × [(12 ÷ 2) - 1] = 12 × [6 - 1] = 12 × 5 = 60

Similarly,

16 : ? → 16 × [(16 ÷ 2) - 1] = 16 × [8 - 1] = 16 × 7 = 112

Hence, ‘112’ is the correct answer.

Shortcut Trick

Manager's Salary = New Average + (Initial Workers × Increase in Average)

Average Increase = 2000 − 1300 = ₹ 700

Manager's Salary = 2000 + (20 × 700)

Manager's Salary = 2000 + 14000 = ₹ 16,000

∴ The correct answer is ₹ 16,000 per month.

Alternate Method

Given:

Initial number of workers = 20

Initial average salary = ₹ 1300

New average including manager = ₹ 2000

Formula Used:

Total Value = Average × Number of Observations

Calculations:

⇒ Total salary of 20 workers = 20 × 1300 = ₹ 26,000

⇒ Total people after adding manager = 20 + 1 = 21

⇒ Total salary of 21 people = 21 × 2000 = ₹ 42,000

⇒ Manager's salary = Total Salary (21) − Total Salary (20)

⇒ Manager's salary = 42,000 − 26,000 = 16,000

∴ The correct answer is ₹ 16,000 per month.

Additional Information

Inclusion/Exclusion Rule

When a new person joins, the new value = New Average + (Initial Count × Change in Average). If the average decreases, the change is negative.

Weighted Average

The combined average of two groups is (n₁x₁ + n₂x₂) ÷ (n₁ + n₂), where n is the count and x is the individual average.

Net Deviation Method

The sum of deviations of all observations from their arithmetic mean is always zero. This property is used to find missing values in a dataset quickly.

Correct Answer Mediterranean Sea

Key Points Mediterranean Sea:

• It separates Europe from Africa, through the Strait of Gibraltar.
• It connects to the Atlantic Ocean.
• It has often been called the incubator of Western civilization.
• This ancient "sea between the lands" occupies a deep, elongated, and almost landlocked irregular depression lying between latitudes and longitudes.
• It includes the Sea of Marmara and occupies an area of approximately 970000 square miles.
• To the northeast, it is connected with the Black Sea through the Dardanelles, the Sea of Marmara, and the strait of Bosporus.
• To the southeast, it is connected with the Red Sea by the Suez Canal.

Additional InformationThe Red Sea -

• The Red Sea and the Gulf of Aden were formed as the Arabian plate separated from Nubia, as Nubia obliquely collided with the Eurasian plate.
• NE-directed extension between 35-27Ma leads to continental rifting along the line of the Red Sea and the Gulf of Aden.
• The origin of the Red Sea's name is that it contains cyanobacteria called Trichodesmium erythraeum, which turns the normally blue-green water reddish-brown.

Caspian Sea 

• The Caspian Sea, which is frequently referred to as the largest lake or a true sea, is the largest inland body of water in the entire planet.
• An endorheic basin, it is located between Europe and Asia, which is bordered by the Caucasus Mountains to the east, the Iranian Plateau to the north, the rich plains of Southern Russia to the south, and the wide steppe of Central Asia to the west.
• With the exception of the extremely salty lagoon of Garabogazköl to the east, it has a surface area of 143,550 sq mi (372,000 km2) and a volume of 78,200 km3.
• The natural heritage of the Caspian sea is shared by five countries including, Azerbaijan, Iran, Kazakhstan, Russia, and Turkmenistan.
• Kazakhstan to the northeast, Russia to the northwest, Azerbaijan to the southwest, Iran to the south, and Turkmenistan to the southeast form the borders of the Caspian Sea.
• The Caspian Sea is famous for its caviar and oil industries and is home to a variety of species.

Black Sea:

• The Black Sea is in the Atlantic Ocean.
• The Black Sea, Russian and Bulgarian Chernoye More, Ukrainian Chorne More, Turkish Karadenız, Romanian Marea Neagră, large inland sea situated at the southeastern extremity of Europe.
• It is bordered by Ukraine to the north, Russia to the northeast, Georgia to the east, Turkey to the south, and Bulgaria and Romania to the west.
• The roughly oval-shaped Black Sea occupies a large basin strategically situated at the southeastern extremity of Europe but connected to the distant waters of the Atlantic Ocean by the Bosporus (which emerges from the sea’s southwestern corner), the Sea of Marmara, the Dardanelles, the Aegean Sea, and the Mediterranean Sea.
• Danube, Dnieper, and Don via the Sea of AzovRioni, Kodori and Inguri Chorokh, Kyzyl-Irmak, Eshil-Irmak, Sakarya, Southern Bug and Dnister are the rivers that flow in the Black sea.

(Left) @ 5 7 R M # 2 Q Ω 3 Z A 4 @ W ! R # 5 N % A ! T & 4 A (Right)

2 letters are there which are immediately followed by a symbol and also immediately preceded by a number.

2 Q Ω and 5 N %

Hence, 2 is the correct answer.

Given:

The ratio of income of P and Q = 8 : 11 and the ratio of expenditure = 2 : 3.

Calculation:

As we know, Income = Expenditure + Saving

Let the income of P and Q be 8x and 11x

Therefore according to the question,

⇒ \(\frac{{8x{\rm{\;}} - {\rm{\;}}50000}}{{11x{\rm{\;}} - {\rm{\;}}50000}} = \frac{2}{3}\)

⇒ 24x - 150000 = 22x - 100000

⇒ 2x = 50000

⇒ x = 25000

∴ Q’s income = 11 × 25000 = Rs. 2,75,000

Shortcut Trick

The income of Q must be a multiple of 11.

In the given options only option 3 i.e. Rs. 2,75,000 is a multiple of 11. Hence, it will be the correct answer.

• The Indian Universities Commission was a body instituted in 1902 on the instructions of Lord Curzon which was intended to make recommendations for reforms in university education in India.
• The recommendations were enacted by Curzon as the Indian Universities Act 1904.

Cardiologist is a doctor who treats ailments related to heart

Similarly,

Chiropractor is a healthcare professional whose practice involves the treatment of ailments related to joints.

Hence, 'Chiropractor' is related to Joints'.

Given Ratio of Ages is 3 : 4

Let the common factor be x

∴ Ages of the boys are 3x and 4x respectively.

After 3 years their ages would be 3x + 3 and 4x + 3

⇒ After 3 years their Ratio will be 4 : 5

⇒ (3x + 3)/(4x + 3) = 4/5

⇒ 5(3x + 3) = 4(4x + 3)

⇒ 15x + 15 = 16x + 12

⇒ x = 3

∴ Ages of boys are 9 years and 12 years.

Their Ages after 21 years would be 30 years and 33 years.

Ratio = 30/33 = 10/11 = 10 : 11

The correct answer is Lucknow.

Key Points

• Vande Bharat Express was inaugurated by PM Narendra Modi on 15^th Feb. 2019.
• It is running between the Delhi-Varanasi route.
• It started its commercial operation on 17^th Feb. 2019.
• It is also called 'Train 18' because its construction was started in 2018.
• It has four stoppages:
• New Delhi
• Kanpur
• Prayagraj
• Varanasi

Important Points

• This train rack was manufactured at the Integral Coach Factory, Chennai.
• It is semi high-speed train.
• This is the first non-engine train in India.
• This train gets power from electricity.
• The Vande Bharat Express covers the distance between New Delhi and Varanasi in eight hours.
• It runs on all days of the week except Mondays and Thursdays.
• It is based on the 'Make in India' concept.
• Its base fare is higher than the Shatabadi Express.

Additional Information

• The second Vande Bharat Express train is running between Delhi-Katra.
• This train was started on October 5, 2019.
• Travel time between Delhi and Katra has been reduced from 12 hours to eight hours due to the running of high-speed trains.

From the statement above, we can understand that White Revolution was a successful dairy production movement of India therefore we can conclude that it helped increase milk production in India.

Therefore, conclusion II follows.

On the other hand, from the information above, we cannot conclude who started this movement.

Therefore, conclusion I does not follows.

Hence, Only conclusion II follows.

\(2x+\frac{2}{x}=3\)

\(\Rightarrow x+\frac{1}{x}=\frac{3}{2}\)

Cubing both sides

\(x^3+\frac{1}{x^3}+3(x+\frac{1}{x})=\frac{27}{8}\)

\(\Rightarrow x^3+\frac{1}{x^3}+3\times \frac{3}{2}=\frac{27}{8}\)

⇒ \(x^3+\frac{1}{x^3}=\frac{27}{8} - \frac{9}{2}\) = \(\frac{27-36}{8}\) = \(\frac{-9}{8}\)

So,

⇒ \(x^3+\frac{1}{x^3}+4=\frac{-9}{8}+4=\frac{23}{8}\)

The correct answer is 'Putting-out system'

Key Points

• Putting-out system:
• The putting-out system, also known as the domestic system, is a production system where merchants provide raw materials to weavers or other craftsmen who work from their homes or small workshops.
• This system was prevalent before the Industrial Revolution and allowed merchants to control production without owning factories.
• Weavers were paid for their labor and could work at their own pace, providing flexibility but often leading to inconsistent quality and production rates.

Additional Information

• Factory system:
• The factory system emerged during the Industrial Revolution, where production was centralized in large buildings equipped with machinery.
• Workers were employed to operate machines and were paid wages, leading to mass production and increased efficiency but often poor working conditions.
• Cooperative system:
• In a cooperative system, workers or producers own and manage the enterprise collectively, sharing profits and decision-making responsibilities.
• This system aims to provide equitable distribution of benefits and promote democratic management practices.
• Production system:
• The term 'production system' is a broad concept that encompasses various methods and structures for producing goods and services, including the factory system, putting-out system, and others.
• It does not specifically refer to the arrangement between merchants and weavers.

Logic:

Bristles : Brush → Bristles are a part of  Brush.

Similarly,

Strings : Guitar → Strings are a part of the Guitar.

Here, 'Strings : Guitar ' is the correct pair as per logic.

Hence, the correct answer is "Strings : Guitar ".

Shortcut Trick

Let total monthly income be 100%.

Total initial spend = 24% (Groceries) + 16% (Rent) = 40%.

Remaining income = 100% − 40% = 60%.

Savings % = 45% of 60% (since 55% of the remaining is spent) = 27%.

27% → ₹ 5,940 ⇒ 1% → 220.

Rent (16%) = 16 × 220 = ₹ 3,520.

∴ The correct answer is ₹ 3,520.

Alternate Method

Given: Groceries = 24%, Rent = 16%, Education/Others = 55% of remaining, Savings = ₹ 5,940.

Let total Income = I.

⇒ Total spending on Groceries and Rent = (24 + 16)% of I = 40% of I.

⇒ Remaining Income = I − 0.40I = 0.60I.

⇒ Spending on Children's education and others = 55% of 0.60I = 0.33I.

⇒ Savings = Remaining Income − Education spend = 0.60I − 0.33I = 0.27I.

⇒ 0.27I = 5,940

⇒ I = 5,940 ÷ 0.27 = 22,000

⇒ Rent = 16% of 22,000 = 0.16 × 22,000

⇒ Rent = ₹ 3,520

∴ The correct answer is ₹ 3,520.

Additional Information

Percentage of Remaining

When a percentage is calculated on the remaining amount, always find the updated base. For example, if savings is s% of remaining r% of total T, Savings = (s/100) × (r/100) × T.

Total Income Formula

Income = Expenditures + Savings. Ensure all expenditure percentages are converted to a common base (usually the total income) before summation.

Base Change Method

If multiple deductions occur, the effective remaining percentage is (100 − a)% × (100 − b)% ... of the original value.

The correct answer is Anil Kakodkar.

Key Points

• Anil Kakodkar is known as the 'Science Man' of Madhya Pradesh.
• Anil Kakodkar is an Indian nuclear scientist and mechanical engineer.
• He was the president of the Atomic Energy Commission of India and the administrator to the Government of India, he was the executive of the Bhabha Atomic Research Centre, Trombay from 1996 to 2000.
• He achieved the Padma Vibhushan, India's second-highest civilian prestige, on 26 January 2009.
• He was a member of the core team of architects of India's Peaceful Nuclear Tests in 1974 and 1998.

Additional Information

• Kunji Lal Dubey was an Indian independence reformer, lawyer, educationist and minister from Madhya Pradesh.​
• Makhan Lal Chaturvedi was a great Hindi poet.
• Shankar Laxman started his sporting career as a footballer, born on 7 July 1933, in the Indore District of the Malwa region of Madhya Pradesh.

Given: Group captain is selecting 5 members out of A, B, C, D, E, F, P, Q, R and T for his team.

1. A, E and F can only be selected together.

2. If B is selected, then neither Q nor D can be selected.

3. C cannot be selected with E or F.

4. Only one can be selected from B or T. 

Lets check option one by one:

Option 1) D, P, R, C, Q → Correct (As it satisfies all conditions)

Option 2) A, B, E, P, R → Does not Correct (As F is missing, and A, E and F can only be selected together.)

Option 3) B, P, R, C, T → Does not Correct (As Only one can be selected from B or T. Here B and T both are present)

Option 4) A, B, C, E, F → Does not Correct (As C cannot be selected with E or F.)

Hence, the correct answer is "D, P, R, C, Q".

Let the present age of A and B be 6x and 5x

According to question

(6x – 4)/(5x – 4) = 5/4

⇒ 24x – 16 = 25x – 20

⇒ x = 4

∴ Present age of A = 6x = 6 × 4 = 24

And present age of B = 5x = 5 × 4 = 20

After 12 year age of A will be = 24 + 12 = 36 year

And 12 age of B will be = 20 + 12 = 32 year

∴ Required ratio = 36 : 32 = 9 : 8

Ratio four years ago = 5 : 4

Present age ratio = 6 : 5

To find the ratio of age after 12 years, we need to change the 12 years in terms of unit.

4 years = 1 unit

12 years = 3 unit

Present age ratio = 6 : 5

Ratio after 12 years = (6 + 3) : (5 + 3) = 9 : 8

∴ Required ratio is 9 : 8.

The correct answer is Jawaharlal Nehru Port.

Key Points

• The Nhava Sheva port located in Navi Mumbai is also known as Jawaharlal Nehru Port.
• This Port was established in 1969.
• It is located in Maharashtra.
• It is amongst the 13 major ports of India.

Additional InformationImportant airports:

Hence,

 is the correct answer.

Given:

Radius of a circle is 5 cm.

Length of chord AB in this circle is 6 cm.

Calculation:

Let OB be the radius of the circle and OD be the distance from the center to the chord AB

Now, We know altitude from the center of a circle to its chord bisect the chord

OB² = BD² + OD²

⇒ 52 = 32 + OD2

⇒ 25 = 9 + OD2

⇒ OD2 = 16

⇒ OD = 4

∴ The distance of this chord from the centre of the circle is 4 cm.

• Article 63 - States about The vice president of India in the constitution.

Explanation:

According to the English alphabets and their positional values:

The pattern followed in the given series is:

The alphabets are increased to 5 positional values and the code is arranged backwards.

Similarly,

Hence the correct answer is option 4.

Given :

O is the centre of the circle

∠AOC =140°

Calculation:

O is the centre of the circle

Take a point D in remaining arc

∠AOC = 140°

∠AOC = 2∠ADC ( Angle formed by chord at centre = twice angle formed in same arc segment)

⇒ 140° =  2∠ADC

⇒ ∠ADC  = 70°

ABCD will be  a cyclic quadrilateral

Sum of opposite angles of cyclic quadrilateral = 180°

⇒ ∠ABC + ∠ADC= 180°

⇒ 70° + ∠ABC = 180°

⇒ ∠ABC = 110°

∴ Option 2 is the correct answer.

The correct answer is ​Mansur Ali Khan.

• Mansoor Ali Khan Pataudi was born on 5 January in Bhopal.
• 'Iftikhar Ali Hussain Siddiqui' was the 8^th Nawab of the princely state of Pataudi.
• After the death of Iftikhar, Mansoor Ali Khan Pataudi became the 9^th Nawab of the princely state of Pataudi.
• All of whom are also known by the name of 'Tiger Pataudi'.
• He was also the captain of Indian cricket.

Additional Information

• Nawab's Pataudi was a princely state in northern India.
• Pataudi was founded in the year 1804 by the British East India Company.
• He was the Nawab of Pataudi from 1952 to 1971.
• After the amendment of the Indian Constitution in 1971, this state was merged with the Government of India.
• Nawab Pataudi is known as the best captain of India.
• Nawab Pataudi married famous Bollywood actress Sharmila Tagore.

Given : LV _ J _ VFJ T _ GJ XVH _ BV _ J

By checking options :

1. EPVJI → LV E J P VFJ T V GJ XVH J BV I J → (It follows the pattern o
2. DVJLE → LV D J V VFJ T J GJ XVH L BV E J → (It doesn't Follows the pattern)
3. DBRPE → LV D J B VFJ T R GJ XVH P BV E J → (It doesn't Follows the pattern)
4. EJBLR → LV E J J VFJ T B GJ XVH L BV R J → (It doesn't Follows the pattern)

Hence, "EPVJI" is the correct answer.

Given:

The length of the tangent to a circle from point P is 15 cm.

Point P is 17 cm away from the centre.

Calculation:

Let AP be the tangent and OA be the radius

Now,

AP = 15

OP = 17

As we know the radius makes 90° at a tangent.

So,

OA² + AP² = OP²

⇒ OA2 + 152 = 172

⇒ OA2 + 225 = 289

⇒ OA2 = 64

⇒ OA = 8

So, radius = 8 cm

∴ The radius of the circle is 8 cm.

The correct answer is 1/3.

Key Points 

• Unlike the members of the Lok Sabha, the membership of the Rajya Sabha is a permanent body and cannot be dissolved at any time.
• However, every second year, one-third of the members retire and at the beginning of every third year, the vacancies are filled by fresh elections and the nomination of the President.
• A Member of Parliament (abbreviated: MP) in the Rajya Sabha is the representative of the Indian states to one of the two houses of the Parliament of India (Rajya Sabha).
• Rajya Sabha MPs are elected by an electoral college consisting of elected members of the State Legislative Assembly with a system of proportional representation by means of the single transferable vote.

Additional Information 

• The representatives of the states and union territories in the Rajya Sabha are elected by the method of indirect election.
• The representatives of each State and the two Union Territories are elected by the elected members of the Legislative Assembly of that State and the members of the electoral college for that Union Territory, as the case may be, in accordance with the system of proportional representation. Instruments of single transferable vote.
• The Electoral College for the National Capital Territory of Delhi consists of the elected members of the Delhi Legislative Assembly, and for Puducherry the elected members of the Puducherry Legislative Assembly.
• Special Powers of Rajya Sabha
• The Upper House also has some special powers, such as:
• Power to transfer a subject from the State List to the Union List for a specified period (Article 249).
• To create additional All India Services (Article 312).
• To support emergency under Article 352 for a limited period when the Lok Sabha is dissolved.​

The pattern followed is that both the numbers are subtracted and square the value of resultant.

27 @ 22 = 25

→ (27 - 22) = 5

(5)² = 25

39 @ 33 = 36

→ (39 - 33) = 6

(6)² = 36

Similarly;

25 @ 22 = ?

(25 - 22) = 3

(3)² = 9

Hence, correct answer is 9.

Shortcut Trick

In any circle, if the central angle subtended by a chord is 60°, the triangle formed by the center and the chord's endpoints is an equilateral triangle (since two sides are equal radii, and the base angles must be (180° − 60°) ÷ 2 = 60° each).

For an equilateral triangle, all sides are equal.

∴ Chord AB = Radius = 10 cm.

∴ The correct answer is 10 cm.

Alternate Method

Given:

Radius (r) of the circle = 10 cm

Central angle (θ) subtended by chord AB = 60°

Formula Used:

Length of a chord subtending an angle θ at the center is given by: 2r sin(θ/2)

Calculations:

⇒ Length of Chord AB = 2 × 10 × sin(60° ÷ 2)

⇒ Length of Chord AB = 20 × sin(30°)

⇒ Since sin(30°) = 1/2

⇒ Length of Chord AB = 20 × (1 ÷ 2)

⇒ Length of Chord AB = 10 cm

∴ The correct answer is 10 cm.

Additional Information

Equilateral Triangle in Circle

When a chord subtends a 60° angle at the center, it forms an equilateral triangle with the radii, meaning chord length = radius.

General Chord Length Formula

For any central angle θ, the chord length is 2r sin(θ/2). If θ = 90°, length = r√2. If θ = 120°, length = r√3.

Angle at Circumference

The angle subtended by a chord at the circumference is half the angle subtended at the center (30° in this case).

The correct answer is January 2015.

Key Points

• The Beti Bachao, Beti Padhao (BBBP) scheme:
• The Beti Bachao, Beti Padhao (BBBP) scheme was launched on 22 January 2015 by PM Narendra Modi.​
• It is a tri-ministerial effort of Ministries of Women and Child Development, Health & Family Welfare, and Human Resource Development.
• BBBP addresses the declining Child Sex Ratio (CSR) and related issues of women empowerment over a life-cycle continuum.
• In Phase-1 (2014-15 i.e. January 2015), the scheme was started with 100 districts and got expanded to 61 additional districts in Phase-II (2015-16, February 2016).

Additional Information

• Main Objectives:
• Prevention of gender-biased sex-selective elimination.
• Ensuring survival & protection of the girl child.
• Ensuring education and participation of the girl child.
• Protecting Rights of Girl child.
• The main reason behind the launch of this scheme is
• ​The Census, 2011 has shown a significant declining trend in Child Sex Ratio, with 918 girls per 1000 boys in the age group of 0-6 years.
• Child Sex Ratio has declined from 976 in 1961 to 918 in 2011. Out of 640 districts, the Child Sex Ratio has declined in 429 districts (2/3^rd of the country).
• 244 districts were below the national average of 918.