DSSSB TGT Natural Science (Male) 7 Sep 2021 Shift 3 (Previous Year Paper)

The logic follows here is:

Clearly, the wrong term is 'OEYJ'.

Hence, the correct answer is "OEYJ".

The logic follows here is:

Hence, the correct answer is "NTK45".

The logic follows here is:

• NaCl ∶ Salt

→ NaCl is the chemical formula of Salt.

Similarly,

• H2SO4 ∶ ?

→ H2SO4 is the chemical formula of Acid.

Hence, the correct answer is "Acid".

The logic follows here is:​

The positional value of the letter is divided by 4.

• LHD ∶ 321

Similarly,

• XTP ∶ ?

Hence, the correct answer is "654".

The logic follows here is:

• SQUABBLE is coded as "76521138"

Similarly,

• 'EQUAL' will be coded as:

Hence, the correct answer is "86523".

As per the given information: 

In a row of children facing north, Rajat is fifteenth from the left. Aman who is thirty from the right end is fourth to the right of Rajat.

So, the rank of Aman from left will be '19'.

Now,

Total children in the row = Position of Aman from left + Position of Aman from right - 1

= 19 + 30 - 1

= 49 - 1

= 48

Thus, the total number of children in the row is '48'.

Hence, the correct answer is "48".

As per the given information:

Chintu, Pintu, Suresh, Ramesh and Mahesh are five friends in a class. Each of them likes a different subject viz. Hindi, English, Maths, Science and Arts, but not necessarily in the same order. Each of them study in a different class viz. I, II, III, IV, and V, but not necessarily in the same order.

• Pintu studies in class I and likes Mathematics subject.
• The one who likes English subject and studies in class V.
• Mahesh studies in class IV.

 

• Ramesh likes Arts subject and studies neither class I nor class II.
• ​Chintu does not like Science or English subject.

 

Clearly, Suresh's favorite subject is 'English'.

Hence, the correct answer is "English".

Statement:

Some board are notice.

All notice are rings.

The least possible diagram for the given statements is as follows:

Conclusions:

(I) Some notice are board.→ True (Because 'Some board are notice', so 'some notice are board is definitely true)

(II) No ring is board.→ False (Because 'All notice are rings' and 'Some board are notice' thus no ring is board is definitely false)

Hence, the correct answer is " only I follows".

Statement:

All kitchen are hall.

Some hall are hotel.

All hotel are guest.

The least possible diagram for the given statements is as follows:

Conclusions:

(I) All hall are guest..→ False (Because 'All hotel are guest' and 'Some hall are hotel', so it is possible but not definite)

(II) Some kitchen are hotel.→ False (Because there is no direct relation between 'kitchen' and 'hotel', so it is possible but not definite)

Hence, the correct answer is "Neither I nor II follows".

Statement:

Some circle are rectangle.

Some square are triangle.

No square are rectangle.

The least possible diagram for the given statements is as follows:

Conclusions:

(I) All squares are rectange → False (Because 'No square are rectangle', so it is definitely false)

(II) Some squares are rectangle.→ False (Because 'No square are rectangle', so it is definitely false)

(III) No rectangle are square.→ True (Because 'No square are rectangle', so it is definitely true)

Hence, the correct answer is "Only III follows".

The logic follows here is,

(First number) × 6 = (Second term)

(Second term) × 2 = (Third number)

Given set: (3, 18, 36)

→ 3 × 6 = 18

→ 18 × 2 = 36

Similarly, 

• (4, 24, 48)

→ 4 × 6 = 24

→ 24 × 2 = 48

Hence, the correct answer is "(4, 24, 48)".

Given statement : A ≥ B > C, D > M ≤ K, D ≥ C

On combining:  A ≥ B > C < D > M ≤ K

Conclusions :

I. C < M → FALSE (as  A ≥ B > C < D > M ≤ K → clear relationship between C and M cannot be determined).

II. B > K →  FALSE (as  A ≥ B > C < D > M ≤ K →  clear relationship between B and K cannot be determined).

Hence, the correct answer is "If neither conclusion I nor II is true".

Given: 76, 80, 107, 123, ?, 284

The logic follows here is:

Hence, the correct answer is "248".

As per the given information,

The shaded part i.e. C represents → Photographer who do fashion photography and wildlife photography only

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

As per the given information,

The shaded part i.e. A represents →Teenagers who spend their free time in video games, music and books only

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

The logic follows here is:

The figure has a circle, a hexagon and a rhombus. The circle and rhombus is divided into 4 parts while hexagon is divided into 8 parts. Each part of them is filled in clockwise direction in each successive figure.

So, the figure that will replace the question mark (?) in the following figure series is shown below :

Thus, the figure in option (2) will be the next image for the given series.

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

On close observation, we find that the problem figure is embedded in option (3) as shown below :

Hence, the correct answer is "option (3)".

The logic follows here is:

When the mirror is placed on the line MN, the left side and right side changed vice-versa where the top and bottom remain the same.

Thus, the correct mirror image of the given figure will be :

Hence, the correct answer is "Option 3".

Additional Information

In Mirror image left side and right side changed vice-versa where top and bottom remain the same.

Reflection of an object into the water is its water image. It appears by inverting an object vertically i.e. upside down.

The water image of the figure looks like mirror image of the figure in case the mirror is horizontally at the bottom of the figure.

Water image is just a reflection where top and bottom part of the images changed where left and right side of the image remain same.

Mistake PointsBoth option 2 and 4 are different, Please check the difference below:

Option 2) 

 Option 4)

As per the given question:

The numbers of squares in the given figures are:

Thus, there are '11' squares in the given figures.

Hence, the correct answer is "11".

As per the information:

When the question figure is merged with the figure in option (2), the complete figure can be seen as:

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

The correct answer is Maharaja Narinder Singh.

Key Points

• Maharaja Narinder Singh (1845-1862): Sheesh Mahal was built by Maharaja Narinder Singh during his reign.
• It served as a comfortable residence for the Maharaja.
• Architectural Significance: Sheesh Mahal is renowned for its exquisite architecture and interior decoration, especially using mirrors on the walls and ceilings.
• Museum: Currently, Sheesh Mahal functions as a museum showcasing a variety of artifacts and historical items.
• Cultural Importance: The palace holds cultural and historical significance, reflecting the region's rich heritage.
• Tourist Attraction: Sheesh Mahal is a major tourist attraction in Patiala, drawing visitors with its splendid design and historical value.

Additional Information

• Maharaja Harpreet Singh - His name does not appear prominently in the history of Patiala or the construction of notable monuments.
• Maharaja Virendra Singh - His contributions lie elsewhere in the history of Punjab, possibly in administrative or military affairs.

The correct answer is Maharashtra.

Key Points

• Origin: Warli folk paintings originated from the Warli tribe, one of the largest tribes found in Maharashtra.
• These paintings are primarily from the North Sahyadri Range in Maharashtra, including areas of Dahanu, Talasari, Jawhar, Palghar, Mokhada, and Vikramgad.
• The paintings are characterized by their simple, monochromatic style, using white pigment on a mud base.
• Common themes include everyday life, nature, and social events, depicted in a highly stylized manner.
• Warli paintings hold cultural and spiritual importance for the Warli people, often used to mark auspicious occasions and festivals.

Additional Information

The correct answer is 1920's

Key Points

• Radio broadcasting in India began in 1923 with the establishment of the Radio Club of Bombay.
• The first radio broadcast in India took place on June 23, 1923, by the Radio Club of Bombay.
• In 1927, the Indian Broadcasting Company (IBC) was formed and started broadcasting from Bombay and Calcutta.
• In 1930, the Indian Broadcasting Service (IBS) under the Department of Industries and Labour was started, and later it was renamed All India Radio (AIR) in 1936.
• This marked the beginning of organized radio broadcasting in India, leading to the establishment of various radio stations across the country..

The correct answer is Chandragupta I.

Key Points

• Chandragupta I was the first ruler of the Gupta dynasty to adopt the title of Maharajadhiraja.
• Chandragupta I was a son of the Gupta king Ghatotkacha, and a grandson of the dynasty's founder Gupta, both of whom are called Maharaja in the Allahabad Pillar inscription.
• He was also the father of Samudragupta, his next successor.
• Chandragupta I married the Lichchhavi princess Kumaradevi.
• Lichchhavi is the name of an ancient clan that was headquartered at Vaishali in present-day Bihar during the time of Gautama Buddha.

Additional Information

Gupta Dynasty:

• The founder of the Gupta dynasty was Sri Gupta.
• He was succeeded by Ghatotkacha. These two were called Maharajas.
• The next ruler was Chandragupta I and he was the first to be called Maharajadhiraja.
• Chandragupta, I was succeeded by Samudragupta in about 330 A.D., who reigned for about fifty years.
• He was a great military genius and is said to have commanded a military campaign across the Deccan, and also subdued the forest tribes of the Vindhya region.
• Samudragupta's successor Chandragupta II, also known as Vikramaditya, conquered the extensive territories of Malwa, Gujarat and Kathiawar.

Important Points

• Some famous events during the rule of Gupta Kings:
• The famous Chinese pilgrim, Fahien visited India during the reign of Chandragupta II.
• Out of his nine years of stay in India, he spent six years in the Gupta empire.
• Chandragupta II waged war against the Saka satraps of western India.
• Rudrasimha III, the last ruler of the Saka satrap was defeated, dethroned, and killed. His territories in western Malwa and the Kathiawar Peninsula were annexed into the Gupta Empire.
• Kumaragupta laid the foundation of Nalanda University.

The correct answer is First President of India.

Key Points

• The Constitution of India was drafted by the Constituent Assembly.
• It was implemented under the Cabinet Mission Plan on 16 May 1946.
• The members of the Constituent Assembly were elected by the provincial assemblies by a single, transferable-vote system of proportional representation.
• Dr Rajendra Prasad was the president of the constituent assembly.

Additional Information

• The members of the Constituent Assembly were elected by Provincial legislative councils.
• They elected people from the whole country to represent every area.
• It was elected in December and the first meeting in 1946.
• It came to force on 26th January 1950.
• Dr BR Ambedkar was the chairman of the Drafting Committee.

The correct answer is Guru Arjan Dev.

Key Points

• Guru Arjan Dev was the fifth guru from 1581 to 1606.
• He became the first great martyr in Sikh history when Emperor Jahangir ordered his execution. Thus, he was hailed as Shaheedan-de-Sartaj (The crown of martyrs).
• He compiled the Adi Granth, the scriptures of the Sikhs.
• He completed construction of Sri Darbar Sahib also known as Golden Temple in Amritsar.
• He founded the town of Tarn Taran Sahib near Goindwal Sahib.

Additional Information

• Ten Sikh Gurus with Timeline

The correct answer is 36th.

In News

• Dates and Location: The 42nd India-Indonesia Coordinated Patrol (IND-INDO CORPAT) took place from May 22 to 24, 2024, in Sabang, Indonesia.
• Participating Indian Ships: INS Kulish, NAVCC, and INS Chetlat.
• Objectives: Enhancing maritime cooperation, addressing common maritime challenges like piracy, smuggling, and illegal fishing, and fostering the long-standing partnership between India and Indonesia.
• Activities: Included joint patrol operations, high-level strategic meetings, cultural exchanges, and debriefing sessions to review joint operations and plan future collaborations.

Key Points

• The 36th edition of India-Indonesia coordinated patrol (CORPAT) between the Indian Navy and the Indonesian Navy concluded on July 31, 2021.
• INS Saryu undertook coordinated patrol (CORPAT) with Indonesian Naval Ship KRI Bung Tomo from July 30 to 31.
• The CORPAT between India and Indonesia also witnessed the participation of Maritime Patrol Aircraft from both nations.

The correct answer is Noopur Chaturvedi.

Key Points

• Bharat Bill Payment System has appointed former PayU and Airtel Payments Bank executive Noopur Chaturvedi as its new CEO.
• Chaturvedi, prior to this appointment, was the country head for small and medium business at PayU.
• She has earlier worked with Airtel Payments Bank, Samsung, ING Vysya Bank, and Citibank in various senior roles.

Additional Information

The correct answer is Dowry Prohibition Act.

Key Points

• Dowry Prohibition Act was enacted on May 1, 1961:
• Its purpose was to prevent the giving and receiving of dowry.
• According to the Dowry Prohibition Act, "dowry" means any property or valuable security given or agreed to be given directly or indirectly.
• The Dowry Prohibition Act is applicable to persons of all religions in India.
• Punishment for violation of law is 5 years imprisonment and Rs 15000/- or the value of dowry whichever is higher.
• Amendment: The 1984 Act required the maintenance of a list describing the identity of the person giving each gift, its value, as a gift given to the bride and groom at the time of marriage.
• Amendments were also made to the original Dowry Prohibition Act to establish maximum and minimum penalties for giving and receiving dowry.
• Proposals to demand dowry or to advertise money or property in connection with marriage shall be fined.

Additional Information

• Right to Information - Empowers citizens to request information from public authorities.
• Promotes transparency and accountability in governance.
• Food Security Act - Aims to provide subsidized food grains to two-thirds of India's population.
• Known as the National Food Security Act, 2013.
• Policy of Reservation - Provides reservations in education and employment for Scheduled Castes, Scheduled Tribes, and Other Backward Classes.
• Promotes social equality by supporting historically disadvantaged groups.

The unit of Electromotive force of a cell is Volt.

Key Points

• Electromotive force is defined as the electric potential produced by either an electrochemical cell or by changing the magnetic field.
• It is given by the formula  E= V + Ir
• Where,
• V is the voltage of the cell
• I is the current across the circuit
• r is the internal resistance of the cell
• E is the electromotive force
• Volt is the unit for electromotive force.
• EMF dimension is given as M1L2T-3I-1.

 

Additional Information

• Potential Difference:
• Work done in bringing a unit positive charge from one point to another point is the potential difference between the two points.
• Its SI unit is volt and it is a scalar quantity.
• Resistance:
• The opposition offered by a conductor to the flow of current through it is called resistance.
• Its SI unit is ohm.

The correct answer is Stomata.

Explanation:

• Plants, unlike animals, don't have lungs for breathing.
• But they still need to take in oxygen (O₂) for cellular respiration and release carbon dioxide (CO₂) as a byproduct.
• This vital gas exchange happens through specialized pores on the leaf surface called stomata (singular: stoma).

Structure:

• Stomata are microscopic openings surrounded by two specialized cells called guard cells. These guard cells are bean-shaped and have unique properties that allow them to open and close the stomatal pore. The guard cells contain chloroplasts, which play a role in regulating their opening and closing.

Function:

• Gas Exchange: Stomata act as gateways for gases like carbon dioxide (CO₂) to enter the leaf for photosynthesis and oxygen (O₂) to leave as a waste product of respiration. They also allow water vapor to escape during transpiration, a process that helps regulate plant temperature and water balance.
• Regulation: The opening and closing of stomata are crucial for maintaining a balance between these gas exchanges and water conservation. Guard cells control the size of the stomatal pore based on various factors like light intensity, CO₂ concentration, and humidity.
• Light: In the presence of sunlight, guard cells take up potassium ions and become turgid (swollen with water), causing the stomatal pore to open for photosynthesis.
• CO₂ Concentration: When CO₂ levels decrease inside the leaf due to photosynthesis, stomata tend to open wider to allow more CO₂ intake.
• Humidity: During dry periods, stomata close to minimize water loss through transpiration.

Importance:

• Enable Photosynthesis: By allowing CO₂ intake, stomata facilitate the process of photosynthesis, where plants capture sunlight energy to produce food (glucose).
• Regulate Water Balance: The opening and closing of stomata help plants control water loss through transpiration. This is especially important in dry environments where water conservation is vital.
• Maintain Optimal Gas Exchange: Stomata regulate the intake of oxygen for cellular respiration and the release of respiratory CO₂.

Additional InformationStomata are typically found on the underside of leaves to minimize water loss through wind exposure.

The number and distribution of stomata can vary depending on the plant species and its environment. Plants adapted to dry environments may have fewer stomata or stomata located in sunken pits to reduce water loss.

Some plants have special adaptations to control gas exchange, such as crassulacean acid metabolism (CAM) photosynthesis, where CO₂ uptake occurs at night when stomata are closed to minimize water loss.

Explanation:

Blast Furnace and Steel Production Ratio

• Steel is an alloy where iron is the main component, typically containing around 2% carbon and other elements to enhance its properties.
• Iron ore, rich in iron oxide (Fe O), undergoes refinement to remove oxygen before becoming steel. This process takes place in a large furnace called a blast furnace.
• Inside the blast furnace, iron ore, coking coal, and limestone react at high temperatures (around 1500°C).
• Iron Ore:  The primary source of iron. The iron oxide (FeO) within the ore needs separation from oxygen.
• Coking coal: This special type of coal burns with minimal smoke or ash. During the process, carbon in the coal reacts with oxygen in the iron oxide, removing oxygen from the iron (reduction). This leaves behind pure iron. Additionally, the burning coal generates heat to maintain the high temperatures needed in the blast furnace.
• Limestone:   Acting as a flux, limestone lowers the melting point of the materials inside the furnace. This allows unwanted materials like slag (impurities from the ore and limestone) to become more fluid and separate from the molten iron.

Ratio of Iron Ore, Coking Coal, and Limestone

• The ratio of iron ore, coking coal, and limestone used in a blast furnace isn't a fixed number, but it's typically around 4:2:1 (iron ore : coking coal : limestone).
• Iron Ore: This is the main product we want to extract, so it needs the largest proportion.
• Coking Coal: Enough coal is needed to provide sufficient heat for the process and remove oxygen from the iron ore. However, using too much coal can increase the carbon content in the final steel product.
• Limestone: Enough limestone is needed to create a good slag for efficient removal of impurities. Using too much limestone can be wasteful, while too little can lead to problems with slag removal.

 Key Points

The exact ratio can vary depending on several factors, including:

• The quality of the iron ore (higher quality ore may require less)
• The desired properties of the final steel product (higher carbon content might require slightly more coal)
• The efficiency of the blast furnace design

By carefully controlling the ratio of these materials, steel manufacturers can optimize the production process and create high-quality steel.

The correct answer is Federalism.

Key Points

• India is a federal system but with more tilt towards a unitary system of government.
• It is sometimes considered a quasi-federal system as it has features of both a federal and a unitary system.
• Article 1 of the Indian Constitution states, ‘India, that is Bharat, shall be a union of states.
• The word federation is not mentioned in the constitution.
• India is a holding together type of Federation in which some States have more power than others.
• Indian federalism resembles the Canadian model.
• Article 1 describes India as a Union of states.
• It is not a result of an agreement between states and states have no right to secede from the federation.
• It’s an Indestructible union of destructible states.
• Different scholars have different opinions on the federal structure of India.
• K.C. Wheare described it as “Quasi federalism”.
• Granville Austin called it “Cooperative federalism” (need for national integrity and unity).
• Morris Jones defined it as 'Bargaining Federalism'.
• Ivor Jenning described it as "Federalism with Centralizing tendency".

The correct answer is Real and inverted.

Key Points 

• The image formed on the retina of the human eye is real and inverted.
• The retina comprises specialized cells that are sensitive to light, known as rod and cone cells.
• These cells get stimulated and send signals to the brain which turns them into erect images that allow us to see.

Additional Information 

• The lens system of an eye forms an image on a light-sensitive screen known as the retina.
• Light enters the eye through a thin membrane known as the cornea.
• Behind the cornea, there is a structure, known as the iris. It has a major function to control the size of the pupil.

The correct answer is Revenue more than the expenditure

Key Points 

• A budget surplus occurs when receipts exceed expenditures.
• The term often refers to a government's financial state, as individuals have "savings" rather than a "budget surplus".
• A surplus is an indication that a government's finances are being effectively managed.
• A surplus implies the government has extra funds.
• Advantages of a budget surplus:
• These funds can be allocated toward public debt, which reduces interest rates and helps the economy.
• A budget surplus can be used to reduce taxes, start new programs, or fund existing programs such as Social Security or Medicare.
• The government might use a budget surplus to cut taxes to stimulate the supply-side of the economy.

The correct answer is Abu Dhabi Chamber of Commerce and Industry.

Key Points

• Abu Dhabi Chamber of Commerce and Industry (ADCCI): ADCCI is a prominent organization based in Abu Dhabi, United Arab Emirates.
• It aims to promote economic growth and development in Abu Dhabi by supporting local businesses and facilitating trade and investment.
• Significance: The Chamber plays a crucial role in representing the interests of the business community and provides various services, including business support, networking opportunities, and policy advocacy.

The correct answer is Gujarat.

Key Points

• Chir Batti is a natural phenomenon observed in the Banni grasslands and the Rann of Kutch in Gujarat.
• Chir Batti translates to "ghost lights" and refers to mysterious glowing orbs that appear in the region, often described as floating lights.
• These lights are typically visible on dark nights and are known to change color, size, and shape, moving at varying speeds.
• The phenomenon has attracted interest from scientists and researchers, though its exact cause remains a mystery.
• Locally, Chir Batti holds cultural and folkloric importance, often featuring in stories and legends of the Kutch region.
• The enigmatic nature of Chir Batti has made it a point of curiosity and attraction for tourists visiting the Rann of Kutch.

The correct answer is Luka Modric.

Key Points 

• Luka Modric is a professional football player from Croatia.
• He won the golden foot award in 2019.
• He was awarded the ‘FIFA player of the year 2018’
• He received the golden ball award for the best player in the 2018 FIFA World Cup.
• He won the Ballon d'Or award in 2018.
• He won the UEFA Men's player of the year award 2017-2018 and became the first Croatian player to win this award.
• He represented Croatia in 2006, 2014, and 2018 FIFA World Cups.

Additional Information 

• Christiano Ronaldo was awarded the ‘FIFA Player of the year 2017'.
• Lionel Messi was awarded the ‘FIFA Player of the year 2019'.
• Mohamed Salah is a professional footballer from Egypt.

The correct answer is Poet, writer.

Key Points

• Profession: Padma Sachdev is renowned as a poet and writer.
• Languages: She primarily wrote in Dogri and Hindi, contributing significantly to Dogri literature
• Achievements: Padma Sachdev has received several awards for her literary works, including the Sahitya Akademi Award and the Padma Shri.
• Notable Works: Her famous works include "Meri Kavita Mere Geet" and "Amar Kahani".
• Cultural Impact: She is celebrated for her poetic expression and contribution to Indian literature, especially in bringing Dogri language to the forefront.
• Recognition: Her writings have been instrumental in preserving and promoting regional literature and culture.

The correct answer is Devaki Nandan Khatri.

Key Points

• Devaki Nandan Khatri: Chandrakanta was written by Devaki Nandan Khatri and is considered one of the first works of prose in Hindi literature.
• Historical Significance: Published in 1888, it played a significant role in popularizing Hindi as a literary language.
• Popularity: The novel gained immense popularity and has been adapted into various television series and films.
• Literary Influence: Chandrakanta's success inspired many other writers to adopt Hindi for their prose works.

Additional Information

Given:

 $x^{\frac{1}{3}}+y^{\frac{1}{3}}=6$ and $x^{\frac{1}{3}}-y^{\frac{1}{3}}=2$

Formula used:

1. (a + b)² = a² + b² + 2ab
2. (a - b)2 = a2 + b2 - 2ab

Calculation:

According to the question,

⇒ $x^{\frac{1}{3}}+y^{\frac{1}{3}}=6$ 

Take square on both sides,

⇒ $(x^{\frac{1}{3}}+y^{\frac{1}{3}})^2=6^2$ 

⇒ $(x^{\frac{2}{3}}+y^{\frac{2}{3}} + 2x^{\frac{1}{3}}y^{\frac{1}{3}})$  = 36    ---(i)

Now,

⇒  $x^{\frac{1}{3}}-y^{\frac{1}{3}}=2$

⇒  $(x^{\frac{1}{3}}-y^{\frac{1}{3}})^2=2^2$

⇒  $(x^{\frac{2}{3}}+y^{\frac{2}{3}} - 2x^{\frac{1}{3}}y^{\frac{1}{3}})$ = 4     ---(ii)

On subtracting equation (ii) from (i),

⇒ $4x^{\frac{1}{3}}y^{\frac{1}{3}}=32$

⇒ $x^{\frac{1}{3}}y^{\frac{1}{3}}$ = 8

Take cube on both sides, 

⇒ xy = 512

Therefore, '512' is the required answer.

Given:

The given expression:

$7\frac{1}{3}+4\frac{1}{3}+2\frac{1}{2}+5\frac{1}{2}=?-4\frac{1}{3}$

Calculation:

According to the question:

⇒ $7\frac{1}{3}+4\frac{1}{3}+2\frac{1}{2}+5\frac{1}{2}=?-4\frac{1}{3}$

⇒ $(\frac{22}{3} )+ (\frac{13}{3} )+ (\frac{5}{2} )+ (\frac{11}{2} )=?- (\frac{13}{3} )$

⇒ $(\frac{44}{6} )+ (\frac{26}{6} )+ (\frac{15}{6} )+ (\frac{33}{6} )=?- (\frac{26}{6} )$

⇒ $(\frac{44}{6} )+ (\frac{26}{6} )+ (\frac{15}{6} )+ (\frac{33}{6} )+ (\frac{26}{6} )=?$

⇒ ? = $(\frac{144}{6} )$ = 24

Therefore, "24" is the required answer.

Given:

The given expression:

(9)3 + (2)3 + 3(9 × 2) 11 = ?

Calculation:

According to the question,

⇒ (9)3 + (2)3 + 3(9 × 2) 11 = ?

⇒ 729 + 8 + 594 = ?

⇒ ? = 1331

Therefore, "1331" is the required answer.

Given:

The given numbers are: 882, 396 and 1404.

Concept:

The highest number that divides a, b and c exactly is H.C.F of a, b and c.

Calculation:

Prime factorisation of the given numbers:

882 = 2 × 3 × 3 × 7 × 7

396 = 2 × 2 × 3 × 3 × 11

1404 = 2 × 2 × 3 × 3 × 3 × 13

Now, the common factors in all three numbers are = 2, 3, 3

Therefore, H.C.F = 2 × 3 × 3 = 18

The greatest number which divides 882,396 and 1404 exactly = 18

Therefore, '18' is the required answer.

Shortcut Trick

Each even-placed multiple is exactly 5 more than its preceding odd-placed multiple.

Multiples: (5, 10), (15, 20), (25, 30), ... (495, 500).

Difference between every pair (Even − Odd) = 5.

Therefore, Average of Even (Q) − Average of Odd (P) = Constant difference = 5.

∴ The correct answer is 5.

Alternate Method

Given: First 100 multiples of 5: {5, 10, 15, 20, ..., 500}

Formula Used: Average of an Arithmetic Progression (AP) = (First term + Last term) ÷ 2

⇒ Set P (Odd places): 1st, 3rd, ..., 99th multiples

⇒ P = {5, 15, 25, ..., 495}

⇒ Average P = (5 + 495) ÷ 2 = 500 ÷ 2 = 250

⇒ Set Q (Even places): 2nd, 4th, ..., 100th multiples

⇒ Q = {10, 20, 30, ..., 500}

⇒ Average Q = (10 + 500) ÷ 2 = 510 ÷ 2 = 255

⇒ Difference = Q − P = 255 − 250 = 5

∴ The correct answer is 5.

Additional Information

Average of Arithmetic Progression

For any sequence in AP, the average is always the middle term or the mean of the first and last terms: (a + l) ÷ 2.

Consecutive Terms Difference

If every term of set B is 'k' more than the corresponding term of set A, then Average(B) − Average(A) = k.

Sum of First n Multiples

Sum of first n multiples of 'x' = x × [n(n+1) ÷ 2]. The average is x × (n+1) ÷ 2.

Given:

To increase the revenue from the first-class fare, the railways decrease the first-class fare by 30 percent.

As a result, the revenue from the first class fare increased by 26 percent.

Concept used:

Revenue = Fare × Number of ticket sold

Calculation:

Let the fare = Rs. 100

Let the initial number of ticket sold/ number of passenger = 100

Initial Revenue = Rs. 100 × 100 = Rs. 10000

Now, 

The decreased fare = (100% - 30%) of Rs. 100 = Rs. 70

Increased revenue = (100% + 26%) of Rs. 10000 = Rs. 12600

Let the number of passengers in new case = x

Now, 

⇒ 70 × x = 12600

⇒ x = 180

The required change (in %) = $\frac{180-100}{100}$ × 100 = 80%

Therefore, "80%" is the required answer.

Given:

A distributed Rs. 2500 among his three friends B, C and D.

B received 40 percent of the amount,

C received 60 percent of remaining amount,

Rest of the amount is received by D.

Calculation:

According to the question,

Amount received by B = 40% of 2500 = Rs. 1000

Remaining amount = Rs. 2500 - Rs. 1000 = Rs. 1500

Amount received by C = 60% of 1500 = Rs. 900

Remaining amount received by D = Rs. 1500 - Rs. 900 = Rs. 600

Therefore, "Rs. 600" is the required answer.

Given:

Average cost price of items A and B is Rs. 400.

A and B are sold at 10 percent and 20 percent profit respectively,

Total selling price of A and B is Rs. 918,

Formula used:

1. Selling price = (100% + Profit%) of Cost price

Calculation:

Let A and B are the cost price of A and B respectively.

According to the question,

Total cost price of A and B = Rs. 400 × 2 = Rs. 800

It can be written as:

⇒ A + B = 800    ---(1)

Selling price of A = (100% + 10%) of A = 1.1A

Selling price of B = (100% + 20%) of B = 1.2B

Now, 

Total selling price = Rs. 918

⇒ 1.1A + 1.2B = 918    ---(2)

On solving (1) and (2), we get,

⇒ B = Rs. 380

Therefore, the cost price of B = Rs. 380

Therefore, "Rs. 380" is the required answer.

Given:

After selling 17 balls for Rs. 720 the loss is equal to the cost price of 5 balls.

Calculation:

Let C and S be the cost price and selling price of the ball respectively.

Selling price of 17 balls = 17S

Selling price of 1 ball = 720/17

Cost price of 17 balls = 17C

According to the question,

⇒ 17C - 17S = 5C

⇒ 12C = 17S

⇒ S/C = 12/17

Again according to the question,

⇒ $\frac{\frac{720}{17}}{C} = \frac{12}{17}$

⇒ C = Rs. 60

Therefore, "Rs. 60" is the required answer.

Given:

On a tree, there are some parrots and pigeons in the ratio of 7 ∶ 9.

After an hour 8 parrots fly and 6 pigeons and 10 sparrows come on the tree. The ratio of parrots and pigeons now is 1 ∶ 4. 

Calculation:

Case 1:

Number of parrots = 7x

Number of pigeons = 9x

Case 2:

Number of parrots = 7x - 8

Number of pigeons = 9x + 6

Number of sparrows = 10

According to the question,

⇒ (7x - 8)/(9x + 6) = 1/4

⇒ 28x - 32 = 9x + 6

⇒ 19x = 38

⇒ x = 2

Number of parrots in new scenario = 7x - 8 = 6

The ratio of parrot and sparrow = 6 : 10 = 3 : 5

Therefore, "3 : 5" is the required answer.

Shortcut Trick

Combine ratios A : B = 3 : 4 and B : C = 6 : 5 by making B common.

LCM of 4 and 6 is 12.

A : B : C = (3 × 3) : 12 : (5 × 2) = 9 : 12 : 10

C's age = 10 units = 20 years ⇒ 1 unit = 2 years.

A's age = 9 units = 9 × 2 = 18 years.

∴ The correct answer is 18 years.

Alternate Method

Given:

Ratio of present age of A to B = 3 : 4

Ratio of present age of B to C = 6 : 5

Present age of C = 20 years

9 parts A = ? 18

12 parts B 24

10 parts C = 20 20

× 2

× 2

Calculations:

⇒ Let age of B be a common multiple in both ratios.

⇒ LCM of 4 and 6 = 12.

⇒ Multiply A : B by 3 to get B = 12 ⇒ A : B = 9 : 12

⇒ Multiply B : C by 2 to get B = 12 ⇒ B : C = 12 : 10

⇒ Combined ratio of A : B : C = 9 : 12 : 10

⇒ Let the present ages of A, B, and C be 9x, 12x, and 10x respectively.

⇒ We are given present age of C = 20 years.

⇒ 10x = 20 ⇒ x = 2

⇒ Present age of A = 9x = 9 × 2 = 18 years.

∴ The correct answer is 18 years.

Additional Information

Combining Ratios

If a : b = n₁ : d₁ and b : c = n₂ : d₂, the combined ratio a : b : c can be found by equalizing the common term 'b'. Multiply the first ratio by n₂ and the second ratio by d₁, resulting in (n₁ × n₂) : (d₁ × n₂) : (d₁ × d₂).

Age Problems Shortcut

Always relate the exact given numerical value (in years) to its corresponding ratio unit to find the value of 1 ratio part. Multiply this single unit value by the required ratio parts to get the final exact age directly.

Given:

A certain sum yields Rs. 840 more simple interest if it is invested for two years at 18 percent p.a. than at 12 percent p.a. 

Formula used:

S.I = PRT/100

Where, 

P = Principal sum

R = rate of interest applied 

T = time of investment

Calculation:

According to the question,

⇒ $\frac{P \times 18 \times 2}{100}$ - $\frac{P \times 12 \times 2}{100}$ = 840

⇒ 36P - 24P = 84000

⇒ 12P = 84000

⇒ P = 7000

The principal sum = Rs. 7000

Therefore, "Rs. 7000" is the required answer.

Given:

The speed of a train is 72 kmph.

Formula:

Distance = Speed × time 

Calculation:

According to the question,

Speed of train = 72 × 5/18 = 20 m/sec

Time required = 10 min 35 sec = 635 sec

Distance = 20 × 635 = 12700 m = 12.7 km

Therefore, "12.7 km" is the required answer.

Given:

A man travels the first part of his journey at 20 km/h and the next at 70 km/h, covering the entire journey at an average speed of 50 km/h.

he covered 42 km at the rate of 70 km/h,

Concept:

1. Distance = Speed × Time
2. Average speed = Total distance/ Total time

Calculation:

Case 1:

Distance = 42 km

Speed = 70 km/hr

Time = 42/70 = 0.6 hr

Case 2:

Distance = x km

Speed = 20 km/hr

Time = x/20 hr

Now,

Average speed = (42 + x)/(0.6 + x/20) 

According to the question,

⇒ (42 + x)/(0.6 + x/20) = 50

⇒ 42 + x = 50(0.6 + x/20)

⇒ 42 + x = 30 + 2.5x

⇒ 1.5x = 12

⇒ x = 8

Therefore, "8 km" is the required answer.

Given:

Eighteen taps can fill a water tank in 20 minutes.

Concept used:

Time taken by A to complete the work = t

Efficiency of A = 1/t

Calculation:

Let the capacity of tank = 1 unit

Time taken by 18 taps to fill a water tank = 20 min

Time taken by 1 tap to fill a water tank = 20 × 18 = 360 min

Efficiency of 1 tap = 1/360 unit per min

Efficiency of x taps = x/360

Required capacity to fill = 1/3

Time required = 15 min

It can be written as:

⇒ $\frac{\frac{1}{3}}{\frac{x}{360}}$ = 15

⇒ 1/45 = x/360

⇒ x = 8

The number of taps = 8 

Therefore, "8" is the required answer.

Given:

P, Q, R worked together for 10 days and received Rs. 24000 as wages and they share the wages in the ratio of 5 ∶ 2 ∶ 1 respectively.

Concept:

1. Ratio in which profit distributed = Ratio in which they do work

Since they work for same number of days, 

Therefore, the wages ratio is same as the efficiency ratio.

2. Total unit of work done by a person = Efficiency of that person × Time taken by that person to that work 

Calculation:

Since they work for same number of days, 

Therefore, the wages ratio is same as the efficiency ratio.

Efficiency of P = 5 units a day

Efficiency of Q = 2 units a day

Efficiency of R = 1 unit a day

Combined efficiency = 5 + 2 + 1 = 8 units a day

Total unit of work = 8 × 10 = 80 units

Number of days required for P to work alone = 80/5 = 16 days

Therefore, "16 days" is the required answer.

Given:

A person sold ice cream in conical cups such that he filled the cup with the ice cream and made a hemispherical ball with the ice cream above the cup.

The radius of both the cup and ball is 7 cm,

The total height of both is 20 cm.

Formula used:

1. Volume of cone = π/3 × r² × h
2. Volume of hemisphere = 2/3 × π × R³

Where, 

r = radius of cone 

R= radius of hemisphere

h = height of the cone

Calculation:

According to the question,

Total height = 20 cm

Height of hemisphere = radius of hemisphere = 7 cm

Therefore, the height of cone = 20 - 7 = 13 cm

Volume of cone = π/3 × 72 × 13 ≈ 667 cm³

Volume of hemisphere =  2/3 × π × 73 ≈ 718 cm³

Total volume = 667 + 719 = 1386 cm³

Therefore, '1386 cm³' is the required answer.

Given:

The perimeter of a rectangle and a square is 160 cm each.

The difference between their areas is 600 cm2.

Formula used:

1. Area of rectangle = length × breadth
2. Area of square = side²
3. Perimeter of rectangle = 2(length + breadth)
4. Perimeter of square = 4 × side

Calculation:

Let S and R be the area of square and area of rectangle respectively.

According to the question,

⇒ 2(l + b) = 160

⇒ l + b = 80

⇒ 4a = 160

⇒ a = 40

Side length of the square = 40 cm

Area of square = 40² = 1600

Now, 

⇒ Required difference in their respective area = 600

⇒ Required difference in their respective area = S - R = 600

⇒ 1600 - R = 600

⇒ R = 1000 cm²

Therefore, "1000 cm²" is the required answer.

Given:

The given pie-chart represents the distribution of the percentage of sales of a particular brand of car from five showrooms A, B, C, D and E during 2018.

The total number of cars sold during that year from the five showrooms is 5000.

Calculation:

Number of cars sold from company B = 22% of 5000 = 1100

Number of cars sold from company D = 9% of 5000 = 450

Total number of cars sold from company B and D = 1100 + 450 = 1550

Therefore, "1550" is the required answer.

Given:

The following bar graph shows the number of students placed in six companies from a college in 2021.

Calculation:

According to the question:

The total number of students placed = 25 + 41 + 36 + 16 + 22 + 28 = 168

Total number of students from the college = 168 + 72 = 240

The percentage of students from HCL = 36/240 × 100 = 15%

Therefore, "15%" is the required answer.

The correct answer is 'The World Health Organisation's experts says that immunising'

 Key Points

• The issue in this sentence is subject-verb agreement. The subject, "The World Health Organization's experts," is plural.
• The correct verb form for the plural subject should be 'say', not 'says'. The verb 'says' is used for singular third-person subjects, such as 'he', 'she', or 'it'.
• Therefore, the sentence should be "The World Health Organization's experts say that immunising children against the coronavirus “is not a high priority” given the extremely limited global supply of vaccines."

Therefore, the correct answer is Option 1.

The correct answer is 'who has won a beautiful car'

 Key Points

• The problem in this sentence is the tense of the verb "has won".
• The use of "has won" suggests the action is in the recent past and still has relevance to the present.
• However, the sentence states "in the lottery yesterday", indicating that the event occurred in the past and is complete.
• The correct form should be "who won a beautiful car" to correctly represent the completed action.

Therefore, the correct answer is Option 2.

The correct answer is 'made of some kind'

 Key Points

• The underlined segment "make of some kinds of grain" is incorrect both in terms of verb form and countability.
• The verb should be "made" instead of "make" because "meals" is the object that has been made from grain.
• Additionally, "some kind" is grammatically correct because "grain" is an uncountable noun, so it should be referred to in the singular form, not plural ("kinds").

Therefore, the correct answer is Option 1.

The correct answer is 'No Improvement.'

 Key Points

• The bracketed part "As I did not think it was proper to" is grammatically correct.
• It correctly uses the past simple tense, indicating the speaker's previous judgment or consideration about what was proper.
• The other options provided are less formal or grammatically incorrect.

Therefore, the correct answer is Option 4.

The correct answer is 'will'

 Key Points

• In English grammar, "will" is used to express future actions decided at the moment of speaking or predicting future events.
• In this case, the sentence talks about a future action, specifically, ordering the army to open fire.

<br>

Therefore, the most appropriate option to fill in the blank is "will".

The completed sentence reads: "Rumours spread that he will soon order the army to open fire."

Additional Information

• Let's understand why the other options are not appropriate:
• "will be" - This option is inappropriate as it is used when referring to future actions that have already been planned or are certain to happen. This form often comes with a specific time reference. However, the sentence is about a speculative action (rumored), not a confirmed one, and there's no specific time reference.
• "would be" - This form is used for hypothetical or possible actions, usually in if-clauses or when reporting speech. Although there's an element of uncertainty in the sentence (rumours), the context doesn't fit the hypothetical nature that would require the use of "would be".
• "would have" - This form is used to describe unreal or hypothetical actions in the past. It often comes in if-clauses when expressing regrets, or missed opportunities. This sentence is not referring to a past hypothetical situation, so "would have" doesn't fit.

The correct answer is 'under, solve'

 Key Points

• The expression "going under the knife" is an idiomatic way to refer to undergoing surgery.
• "Solve" is used to mean addressing or remedying a problem, in this case, "his knee problems".

Therefore, the correct answer is Option 4.

The correct answer is 'regulations, is'

 Key Points

 

• "regulation, are" - The first part is incorrect because the use of "each" suggests that we are referring to individual elements of a group, thus making "regulation" plural as "regulations". The second part "are" is incorrect because "a larger plan" is singular and thus should take a singular verb "is".
• "regulations, is" - The first part "regulations" is correct because "each" refers to individual elements of a group, therefore making "regulation" plural. The second part "is" is correct because "a larger plan" is a singular noun phrase and requires a singular verb "is".
• "regulations, are" - The first part is correct as explained above. However, the second part "are" is incorrect because "a larger plan" is singular and requires a singular verb "is".
• "regulation, is" - The first part is incorrect because "each" refers to individual elements of a group, thus making "regulation" plural as "regulations". The second part is correct because "a larger plan" is singular and requires a singular verb "is".
  

Therefore, the most appropriate option to fill in the blanks is 2) "regulations, is".

The completed sentence reads: “It is clear that each of these draft regulations is part of a larger plan that is against the ethos and interests of the islands and islanders."

The correct answer is 'QPRS'

 Key Points

• Starting with Q establishes the main idea that fruits continue to respire.
• P and R add more details to this respiration process by explaining it involves taking in oxygen and giving off carbon dioxide.
• S brings in the comparison to human beings, which is then connected to S6's statement about breathing.

Therefore, the correct answer is Option 1.

The correct answer is 'Gracious'

 Key Points

• The word 'Benevolent' means well-meaning and kind. It is used to describe someone who is generous and has a disposition to do good.
• 'Gracious' is a synonym for 'benevolent' as it also describes someone who is courteous, kind, and pleasant, especially towards someone of lower social status.
• The other options 'Cruel', 'Barbaric', and 'Savage' are not synonyms for 'Benevolent', but rather, they are antonyms.

Therefore, the correct answer is Option 3.

The correct answer is 'Save'

 Key Points

• The word 'Squander' means to waste (something, especially money or time) in a reckless and foolish manner.
• 'Save' is an antonym for 'Squander' as it means to keep and store up (something, especially money) for future use.
• The other options 'Confine', 'Persecute', and 'Posit' do not carry meanings that are opposite to 'Squander'.

Therefore, the correct answer is Option 4.

The correct answer is 'Coureir'

 Key Points

• The correct spelling of this word is 'Courier'.
• 'Canine', 'Compile' and 'Bolster' are all spelled correctly.

Therefore, the correct answer is Option 4.

The correct answer is 'Tropical'

 Key Points

• 'Tropical' is spelled correctly and refers to regions or climates situated in or characteristic of the tropics.
• 'Tropikal', 'Trapical', and 'Tropicol' are incorrect spellings of 'Tropical'.

Therefore, the correct answer is Option 2.

The correct answer is 'Act without preparation'

 Key Points

• The idiom 'Play it by ear' originates from music, where it refers to playing music without reference to written notation.
• In a broader sense, it means to act according to the circumstances, rather than according to a predetermined plan.
• Example - Since I'm not sure when my last meeting will end, let's play it by ear for our dinner plans
• The other options do not correctly reflect this meaning.

Therefore, the correct answer is Option 3.

The correct answer is 'Lose the job'

 Key Points

• The idiom 'Get the axe' is often used to refer to someone losing their job.
• The 'axe' symbolizes a tool used to cut off something, in this case, employment.
• The other options do not correctly represent the meaning of the idiom.

Therefore, the correct answer is Option 1.

The correct answer is 'Anarchist'

 Key Points

• An 'Anarchist' is someone who believes in or tries to bring about anarchy, often seen as seeking to overturn organized government.
• 'Vandals', 'Criminal', and 'Amphibian' do not carry the same meaning as the given group of words.

Therefore, the correct answer is Option 2.

The correct answer is 'Battle of Assaye'

Key Points

• The passage clearly mentions, "as a newly appointed major-general, won a decisive victory over the Maratha Confederacy at the Battle of Assaye in 1803."
• The other options mentioned in the question do not align with the passage details about Wellesley's major-general rank and decisive victory.

Therefore, the correct answer is Option 2.

The correct answer is 'Waterloo'

Key Points

• The text states: "He ended the Napoleonic Wars when he defeated Napoleon at the Battle of Waterloo in 1815."
• The other options listed, 'Wellington', 'Dublin', and 'Tory', do not match the details provided in the passage about where Napoleon was defeated.

Therefore, the correct answer is Option 3.

The correct answer is 'Wellesley had never been a colonel'

Key Points

• The passage clearly states: "He was a colonel by 1796".
• The other statements are correct according to the passage.

Therefore, the correct answer is Option 4.

The correct answer is 'Commendable'

Key Points

• The term 'exemplary' in the passage is used to describe Wellington's battle record, meaning it is worthy of imitation; commendable.
• The other options 'Dishonorable', 'Disparaging', and 'Lacking' do not align with the meaning of 'exemplary'.

Therefore, the correct answer is Option 1.

The correct answer is 'Politics'

Key Points

• The passage states: "After the end of his active military career, he returned to politics."
• The other options 'Adaptive defensive style of warfare', 'Poetry', and 'Training ofyoung soldiers' do not match the details provided in the passage about Arthur Wellesley's career after the military.

Therefore, the correct answer is Option 2.

उपर्युक्त विकल्पों में से ‘कष्टसाध्य’ में तत्पुरुष समास है। 

Key Points

• 'कष्टसाध्य' का समास विग्रह ‘कष्ट से साध्य’ होगा।
• यह करण तत्पुरुष समास का उदाहरण है।

Additional Information

दिए गए विकल्पों में से सही उत्तर ‘किवाड़’ है। 

Key Points

• उपर्युक्त विकल्पों में से 'किवाड़' शब्द तद्भव है।
• जिसका तत्सम 'कपाट' होता है।
• अन्य शब्द तत्सम हैं। यथा -
• सुभाग - सुहाग
• भिक्षा - भीख
• याचक - भिक्षुक

Additional Information

दिए गए विकल्पों में 'धनवान' यौगिक शब्द का उदाहरण है। 

Key Points

'धनवान' यौगिक शब्द है क्योंकि इसका निर्माण धन+वान (रूढ़+रूढ़) के मेल से हुआ है। 

अन्य विकल्प

Additional Information

रचना के आधार पर शब्दों के तीन भेद माने गए हैं -

सही उत्तर है - अजय पढ़कर खाता है। 

Key Points

• अजय पढ़कर खाता है। -इस वाक्य में दो क्रियाएं हैं।
• पढ़ना और खाना।
• पढ़ना क्रिया पूर्वकालिक क्रिया है क्योंकि यह दूसरी क्रिया के पहले हो रही है।

Important Points

• पूर्वकालिक क्रिया-
• पूर्वकालिक का अर्थ होता है– पहले से हुआ।
• जब कर्ता एक कार्य को समाप्त करके तुरंत दूसरे काम में लग जाता है, तब जो क्रिया पहले ही समाप्त हो जाती है, उसे पूर्वकालिक क्रिया कहते हैं।
• पूर्वकालिक क्रिया को धातु में कर या करके लगाकर बनाया जाता है।

उपरोक्त विकल्पों में 'अरण्य' का पर्यायवाची शब्द 'अनन्य' नही होता है।

• अनन्य के पर्���ायवाची - एकनिष्ठ, अद्वितीय, एकमात्र, अभिन्न, अविभक्त, एकाश्रयी, अप्रतिरूप, अद्वितीय, अननुरूप, एकमेव,

Key Points

Additional Information

सही उत्तर है - साधन-कान। 

 Key Points

• करण का अर्थ- साधन
• कर्ण का अर्थ- कान

Additional Information

स्वार्थपरायण शब्द का विलोम शब्द स्वार्थविमुख है।

Key Points

• स्वार्थपरायण का विलोम स्वार्थविमुख होगा।
• स्वार्थी का विलोम निस्वार्थी होता है।

Additional Information

दिए गए विकल्पों में से सही उत्तर ‘सहगान’ है। 

Key Points

• ‘सबके साथ मिलकर गाया जानेवाला गान’ को सहगान कहा जाता है।

अन्य विकल्प:​

Additional Information

सही उत्तर है - यदि रोहित ने निमंत्रण दिया होता तो मैं उसकी शादी में अवश्य चलता।

Key Points

• हेतुहेतुमद भूतकाल: यह भूतकाल में उस समय को दर्शाती है जहाँ एक क्रिया दूसरी क्रिया पर निर्भर करती है।
• जैसे: यदि रोहित ने निमंत्रण दिया होता तो मैं उसकी शादी में अवश्य चलता

Important Pointsअन्य विकल्प:-

• कल रात को गौरव आया होगा। - सम्भाव्य भूतकाल
• रोहन अभी खाना खाकर आया है।  - आसन्न भूतकाल
• सम्भवत: वह कल स्कूल जायेगा।  - सम्भाव्य भविष्य काल

Additional Informationभूतकाल के 6 भेद माने गए हैं - 

‘हरएक’ शब्द एकवचन में प्रयुक्त किया जाता है। 

Key Points

• 'हरएक' शब्द एकवचन में प्रयुक्त होता है। 
  

दाम, ओठ, होश यह सभी बहुवचन के उदाहरण है।

Additional Information