SSC CHSL Tier-1 2022: Official Paper (Held On: 13 March, 2023 Shift 4) (Previous Year Paper)

The logic followed here is:

So, '672' will complete the series.

Hence, the correct answer is "Option 4".

The logic followed here is:

Step I: The empty circle shifted in clockwise direction in +1, +2, +3, +4 places in next step.

Step II: The shaded circle shifted in clockwise direction in +1, +2, +3, +4 places in next step.

 

So, the complete series will be:

Hence, the correct answer is "Option 1".

The logic followed here is:

Now,

DFH : HFD

Similarly, for QSU : ?

Hence, the correct answer is "Option 2".

The logic followed here is:

Country: Currency .

Option 1) China - Yuan → Yuan is the official currency of China.

Option 2) Thailand - Baht → Baht is the official currency of Thailand.

Option 3) Lira - Turkey → Lira is the official currency of Turkey. Here, we have Currency: Country instead of Country: Currency.

Option 4) Japan - Yen → Yen is the official currency of Japan.

All the given pairs represent the country and its respective currency, except for "Lira - Turkey".

Hence, the correct answer is "Option 3".

The triangles are:

So, there are '20' triangles in the given figure.

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: State : Capital.

Meghalaya : Shillong → Shillong is the capital city of Meghalaya.

Similarly, 

Rajasthan : Jaipur → Jaipur is the capital city of Rajasthan.

Hence, the correct answer is "Option 1".

The image embedded in given figure is as shown below:

Hence, "Option 1" is the correct answer.

BODMAS Table: 

Given equation I. 8 + 7 × 9 ÷ 3 - 6 = 25

Now, if '8 and 7' are interchanged, then:

⇒ 7 + 8 × 9 ÷ 3 - 6 = 25

⇒ 7 + 8 × 3 - 6 = 25

⇒ 7 + 24 - 6 = 25

⇒ 31 - 6 = 25

⇒ 25 = 25.

LHS = RHS.

Given equation II: 7 × 5 - 8 + 6 ÷ 2 = 38

Now, if '8 and 7' are interchanged, then:

⇒ 8 × 5 - 7 + 6 ÷ 2 = 38

⇒ 8 × 5 - 7 + 3 = 38

⇒ 40 - 7 + 3 = 38

⇒ 43 - 7 = 38

⇒ 36 ≠ 38

LHS ≠ RHS.

Here, Only 'Equation I' correct after interchanging the given symbol.

Hence, the correct answer is "Option 3".

The logic followed here is:

'BITCOIN' is coded as 'AJSDNJM'.

Similarly, for 'CURRENCY'

'CURRENCY' is coded as 'BVQSDOBZ'.

Hence, the correct answer is "Option 3".

According to the given Venn diagram:

The shaded area shows the "register neither tools nor sword".

So, the total number of register are neither tools nor sword = 18,

Hence, the correct answer is "18".

From the given open Dice:

B and A is the opposite sides.

C and 2 is the opposite sides.

8 and 9 is the opposite sides.

And, two opposite sides can not be the adjacent surfaces, so it can't be shows in a dice.

Now,

Option 1) 

→ Can be made, because all the surfaces are adjacent sides.

Option 2) 

→ Can not be made, because 8 and 9 is the opposite sides.

Option 3) 

→ Can not be made, because A and B is the opposite sides

Option 4) 

→ Can not be made, because C and 2 is the opposite sides.

Hence, the correct answer is "Option 1".

Given equation: 72 × 19 ÷ 13 + 16 - ? ÷ 15 × 7 = 266.

Decoding the given information :

Now, replacing the sign from left to right and using BODMAS rule, we get :

New equation : 72 + 19 × 13 - 16 ÷ ? × 15 + 7 = 266.

Let ? be x

Calculation :

⇒ 72 + 19 × 13 - 16 ÷ x × 15 + 7 = 266

⇒ 72 + 19 × 13 - 16 ÷ x × 15 + 7 = 266

⇒ 72 + 247 - 16 ÷ x × 15 + 7 = 266

⇒ 319 - 16 ÷ x × 15 + 7= 266

⇒ 326 - 16 ÷ x × 15 = 266

⇒326 - 266 = 16 ÷ x × 15

⇒ 60 =   16 ÷ x × 15

⇒ x =$16 × 15 \over 60$

⇒x = 4

Hence, the correct answer is "Option 3".

The logic followed here is:

Option 1) 317 - 713 → 317 written in reverse order 713.

Option 2) 342 - 243 → 342 written in reverse order 243.

Option 3) 749 - 974 → 749 written in reverse order 947 ≠ 974.

Option 4) 643 - 346 → 643 written in reverse order 346.

Here, 'Option 3' odd among the given options.

Hence, the correct answer is "Option 3".

Family Chart:

Given: 

Ashok's brother's sister is the wife of Ram's son Rahul.

So, Ashok related to Rahul's daughter as Mother's brother.

Hence, the correct answer is "Option 3".

The image embedded in given figure is as shown below:

Hence, "Option 1" is the correct answer.

The logic followed here is:

Hook Pass : Basketball → "Hook Pass" is a specific technique or move used in the game of Basketball.

Similarly,

Butterfly strokes : Swimming → "Butterfly strokes" is a specific swimming technique used in the sport of Swimming.

Hence, the correct answer is "Option 3".

The image embedded in given figure is as shown below:

Hence, "Option 1" is the correct answer.

The logic followed here is:

Given Sequence: xy_zx_xzxy_ _

Now, putting the letters in the blank spaces given in the option one by one:

Option 1) xxyz → x y x z x x x z x y y z

Option 2) xyxx → x y x z x y x z x y x x

Option 3) xyxz → x y x z / x y x z / x y x z

Here, 'Option 3' followed a pattern.

Option 4) yxyz → x y y z x x x z x y y z

Hence, the correct answer is "Option 3".

The words arranged in the English dictionary order as:

3. Cosment 1. Cosmip
4. Cosmopolitan
5. Cost 2. Costume

Thus, the words arranged in English dictionary order as '3, 1, 4, 5, 2'.

Hence, the correct answer is 'Option 2'.

Given:

Statement I: All unions are intersections.

Statement II: All intersections are negations.

The least possible Venn diagram for the given statement is:

Conclusion I: Some negations are intersections - True (Because, All intersections are negations it also gives some negations are intersections).

Conclusion II: No union is a negation - False (Because, those parts of unions which is intersections is also negations).

So, Only conclusion I follows.

Hence, the correct answer is "Option 1".

The logic followed here is:

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

Option 1) 13 - 2199 → 13³ + 1 = 2198 ≠ 2199. 

Option 2) 14 - 2745 → 143 + 1 = 2745.

Option 3) 12 - 1729 → 123 + 1 = 1729.

Option 4) 17 - 4914 → 173 + 1 = 4914.

So, '13 - 2199' odd among the given options.

Hence, the correct answer is "Option 1".

The logic followed here is:

Option 1) BDF → B + 2 = D; D + 2 = F.

Option 2) UWY → U + 2 = W; W + 2 = Y.

Option 3) IKM → I + 2 = K; K + 2 = M.

Option 4) PRS → P + 2 = R; R + 2 = T ≠ S.

So, 'PRS' odd among the all options.

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: 1^st number × 3^rd number = 2^nd number.

Now,

(14, 28, 2)

⇒ 14 × 2 = 28.

(3, 42, 14)

⇒ 3 × 14 = 42.

Similarly, for (17, 68, 4)

⇒ 17 × 4 = 68.

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: (1^st number)⁴ = 2^nd number.

Now,

6 : 1296

→ 6⁴ = 1296.

5 : 625

→ 54 = 625.

Similarly, for ? : 6561

→ 94 = 6561.

Hence, the correct answer is "Option 2".

The logic followed here is:

'567' is coded as 'high and low',

'629' is coded as 'Building are high',

'531' is coded as 'hot and sour'.

Here,

Code for '5' is 'and'.

Code for '6' is 'high'.

Code for '7' is 'low'.

Here, The code for 'low' is '7'. 

Hence, the correct answer is "Option 3".

The correct answer is Neither I nor II.

Key Points

• Soil
• Plants obtain inorganic elements from the soil, which serves as a natural medium for land plants.
• Soil is the outer loose layer that covers the surface of Earth.
• Soil quality is a major determinant, along with climate, of plant distribution and growth.
• Soil quality depends not only on the chemical composition of the soil but also on the topography (regional surface features) and the presence of living organisms.
• In agriculture, the history of the soil, such as the cultivating practices and previous crops, modify the characteristics and fertility of that soil.
• Soil develops very slowly over long periods of time, and its formation results from natural and environmental forces acting on minerals, rock, and organic compounds.​

Additional Information

• Sandy Soil
• Sandy Soil is light, warm, dry and tends to be acidic and low in nutrients.
• Sandy soils are often known as light soils due to their high proportion of sand and little clay.
• These soils have fast water drainage and are easy to work with.
• It mainly consists of rock particles such as limestone, shale, granite and quartz.
• Sandy Soil has a low percentage of organic material. Water travels through sandy soil very easily, so nutrients leach out quickly.
• Vegetable plants that thrive in sandy soil are Carrots, Radishes, Potatoes, Lettuce, Collard greens, Tomatoes, Zucchini, Corn, Asparagus, Watermelon, Beans, and Cucumber.
• Clay soil
• Clay soil is soil that is comprised of very fine mineral particles and not much organic material.
• Clay is the smallest particle amongst the other two types of soil.
• The particles in this soil are tightly packed together with each other with very little or no airspace.
• This soil has very good water storage qualities and makes it hard for moisture and air to penetrate into it.
• It is very sticky to the touch when wet, but smooth when dried.
• Clay is the densest and heaviest type of soil which that not drain well or provide space for plant roots to flourish.
• Clay can be used to make pots, pipes, and other useful objects that can be used for household purposes.
• Clay is used for manufacturing ceramic tiles as well that can be used for counters, floors, and walls.

The correct answer is Apple.

Key PointsMalic acid is found primarily in apples. The word Malic is derived from the Latin word malum, which means apple. It is also found in wine, grapes rhubarb, carrots, beans, and many other fruits and vegetables. It is used as a flavouring agent to enhance the taste of the food products like candy, beverages, and iced tea. Malic acid is an organic chemical compound that contains C, H, and O atoms. It is an unsaturated acid having a carbon-carbon double bond and Its chemical formula is C4H6O5.​ 

Additional Information Few naturally occurring acids are -

The correct answer is UCO Bank.

Key Points

• UCO Bank has received the RBI’s approval to open a special vostro account with Gazprombank of Russia for trade settlement in Indian rupees.
• With this, it has become the first bank to receive RBI’s approval to settle trade in Indian currency.
• On 11 July 2022, RBI issued a circular allowing trade settlements between India and other countries in rupee.

Additional Information

• UCO Bank is one of the nationalized banks in India.
• It is under the ownership of the Ministry of Finance, Government of India.
• Based on 2020 data, it is ranked 80 on the Fortune India 500 list.
• UCO Bank:
• Headquarters: Kolkata
• CEO: Soma Sankara Prasad (1 Jan 2022–)
• Founded: 6 January 1943
• Founder: Ghanshyam Das Birla

The correct answer is Telugu new year.

Key Points

• Ugadi
• Ugadi, which is observed as Andhra Pradesh's Hindus' New Year's Day, is observed on the first day of the Hindu Luni-Solar Calendar in the month of Chaitra.
• According to the Gregorian calendar, it takes place in either March or April.
• This Indian holiday heralds the arrival of pleasure, joy, hope, and light.
• The Sanskrit words "Yuga," which means age, and "adi," which means the beginning, are combined to form the word "Ugadi."
• It denotes the start of a new era in plain terms.
• In Karnataka, Andhra Pradesh, and Telangana, this holiday is celebrated with great zeal and passion.

Additional Information

• The ninth month of the Hindu calendar is Agrahya or Mrga.
• The Hindu month of Vaisakha corresponds to April or May on the Gregorian calendar in the national calendar of India.
• The fifth month of the Hindu calendar is shravan.

The correct answer is Pune.

Key Points

The correct answer is 86^th.

Key Points

• Article 21 A was added by the 86^th Constitutional Amendment Act of 2002.
• This article declares that the State shall provide free and compulsory education to all children of the age of six to fourteen years in such a manner as the State may determine.
• This article deals with the concept of inclusive education, Specific terms in inclusive education such as Impairment, Disability, Special Educational Needs, Learning Difficulties, Reasons For Inclusion, Provisions for Children With Special Needs, etc.

Additional Information

The correct answer is Both I and II.

Key Points

• The slope of the consumption function represents the marginal propensity to consume (MPC), which is the change in consumption resulting from a change in income.
• The aggregate demand function also includes consumption as a component, and therefore, the slope of the aggregate demand function is determined by the marginal propensity to consume. So, they have the same slope.
• The aggregate demand function consists of several components, including consumption, investment, government spending, and net exports.
• While the consumption function represents the relationship between consumption and income, the aggregate demand function represents the relationship between aggregate demand (total spending) and the overall price level.
• The aggregate demand function can be considered as the sum of all spending components, including consumption. Since consumption is a part of aggregate demand, the aggregate demand function and the consumption function are parallel to each other.

Therefore, both statements I and II are correct.

The correct answer is Sattriya.

Key Points

• Satriya Nritya is the classical dance form of the North-Eastern State of Assam which represents the Satriya culture, the basis of the religious and cultural fabric of Assam.
• It is a dance-drama performance art with origins in the Krishna-centered Vaishnavism monasteries of Assam and attributed to the 15^th-century Bhakti movement scholar and saint Mahapurush Srimanta Sankardev.
• Dance historian Dr. Sunil Kothari has recently been bestowed with the Madhabdev Award by the Government of Assam for popularising the Sattriya dance.
• Sattriya was given the status of classical dance in the year 2000 by the Sangeet Natak Akademi.

Additional Information

• Other classical dances of India are:
• Bharatnatyam (Tamil Nadu), Kathakali (Kerala), Kuchipudi (Andhra Pradesh), Kathak (North India), Mohiniyattam (Kerala), Manipuri (Manipur) and Odissi (Odisha).

The correct answer is Tipu Sultan.

Key Points

• Tiger of Mysore
• Born in November 1750, Tipu Sultan was Haidar Ali’s son and a great warrior, also known as the Tiger of Mysore. Hence, Option 1 is correct.
• He was a well-educated man fluent in Arabic, Persian, Kanarese, and Urdu.
• Mysore had grown in strength under the leadership of powerful rulers like Haidar Ali (ruled from 1761 to 1782) and his famous son Tipu Sultan (ruled from 1782 to 1799).
• Tipu introduced several administrative innovations during his rule, including his coinage, a new Mauludi lunisolar calendar, and a new land revenue system which initiated the growth of the Mysore silk industry.
• Embracing Western military methods like artillery and rockets alongside traditional Indian weapons including war elephants, he ensured his forces could overwhelm his Indian rivals and match the British armies sent against him.
• He was also a patron of science and technology and is credited as the ‘pioneer of rocket technology in India.
• He wrote a military manual (Fathul Mujahidin) explaining the operation of rockets.
• Tipu was a great lover of democracy and a great diplomat who gave his support to the French soldiers at Seringapatam in setting up a Jacobin Club in 1797.
• Tipu himself became a member of the Jacobin Club and allowed himself to be called Citizen Tipu.
• He planted the Tree of Liberty at Seringapatam.

The correct answer is Haryana.

Key Points The 4^th edition of the Khelo India Youth Games:

• It was held in Haryana.
• The Games will be held in Panchkula.
• The Haryana government has decided to organize the Khelo India Youth Games in February 2022, in view of the possible third wave of the Covid-19 pandemic.
• Gatka, Kalaripayattu, Thang-Ta, and Mallakhamba, four indigenous games were added in December 2020.
• Haryana came second in both Khelo India Youth Games 2019 and 2020 editions (200 medals in 2020 and 159 medals in 2019).

Additional Information

• The Khelo India Youth Games are an annual multidisciplinary grassroots game organised at a national level in India in January or February.
• Previously known as Khelo India School Games (KISG).
• It is held for two groups of students: under-17-year-olds in high school and under-21-year-olds in college.
• Every year, the top 1,000 children will be awarded a 5-lakh annual scholarship for the next eight years in order to prepare them for international sporting events.
• The first edition of the Khelo India Youth Games was held in Delhi in 2018.
• The second edition of the Khelo India Youth Games was held in Pune in 2019.
• The third edition of the Khelo India Youth Games was held in Guwahati in 2020.

The correct answer is Fourth.

Key Points

• The Apple II is an example of a Fourth-generation computer.
• Fourth-generation computers (1972-present) use microprocessors. This made them even smaller, faster, and more efficient.
• Second Generation Computers (1950s-1960s):
• Transistors were smaller, faster, more reliable, and produced less heat than vacuum tubes.
• The use of transistors led to a significant reduction in the size of computers, making them more compact and efficient.
• The Apple II, introduced in 1977, is considered a representative example of this generation.
• The second generation of computers was marked by the replacement of vacuum tubes with transistors.

Additional Information

• First-generation computers (1946-1958) were mainframe computers that used vacuum tubes as their primary components. They were large, expensive, and consumed a lot of power.

• Third-generation computers (1965-1971) used integrated circuits (ICs). This made them even smaller, faster, and more efficient.

The correct answer is Hypertext Transfer Protocol.

Key Points

• HTTP stands for Hypertext Transfer Protocol. Hypertext Transfer Protocol is an application protocol used for data communication. It is the base of data communication in the World Wide Web. It provides a standard for web browsers that facilitates users to exchange information over the internet.
• HTTP is used by most websites to access any file or page. HTTP is a request-response protocol in the client-server computing model. It is an application layer protocol designed within the framework of the Internet Protocol Suite.
• Hypertext - A text containing a link within it, is known as hypertext. If you click on a word on a webpage and it redirects you to a new page, it means you have clicked on a hypertext.​
• It is the protocol where encrypted HTTP data is transferred over a secure connection. It ensures data security over the network - mainly public networks like Wi-Fi.
• By virtue, HTTPS encryption is done bi-directionally, which means that the data is encrypted at both the client and server sides. Only the client can decode the information that comes from the server. So, HTTPS does the encryption of data between a client and a server, which protects against eavesdropping, forging of information, and tampering of data.

Additional Information

• HTTPS is HTTP with encryption.
• The only difference between the two protocols is that HTTPS uses TLS (SSL) to encrypt normal HTTP requests and responses. As a result, HTTPS is far more secure than HTTP.
• A website that uses HTTP has http:// in its URL, while a website that uses HTTPS has https://.

The correct answer is Both I and II.

Key Points

• The Lucknow Pact of December 1916 was an understanding between the Congress and the Muslim League. Hence statement I is correct.
• Congress and the Muslim League decided to work together for representative government in the country through the Lucknow pact.
• As a result of the Lucknow Pact, congress accepted separate electorates.
• This was the first time both the INC and the Muslim League's leaders had met in a joint session.
• The pact provided a joint political platform for the Moderates, Extremists, and the Muslim League. Hence statement II is correct.​
• The Indian National Congress was headed by Bal Gangadhar Tilak and the All-India Muslim League was led by Muhammad Ali Jinnah.
• Lucknow Pact was adopted by Congress at its Lucknow session on 29 December 1916.
• Lucknow Pact was adopted by the Muslim League on 31 December 1916.
• The Pact addressed both the structure of India's government and the relationship between Hindu and Muslim communities.
• This Lucknow pact prepared the door for Hindu-Muslim cooperation in the Khilafat movement, as well as Mohandas Gandhi's non-cooperation movement, which began in 1920.
• Muslim League was formed in 1906.​

Additional Information

The correct answer is Indira Gandhi International Airport, Delhi.

Key Points

• Delhi’s Indira Gandhi International Airport has become the first airport in the country to run entirely on hydro and solar power from June 2022.
• This is part of the airport’s goal to achieve the ‘Net Zero Carbon Emissions Airport’ target by the year 2030.
• In 2015, the Cochin International Airport in Kerala became the first airport in the world to run solely using solar energy.

Additional Information

• Important Current Affairs related to Airport:​
• Qatar's Hamad International Airport has been named the World’s Best Airport for the year 2022.
• The Kempegowda International Airport in Bengaluru has bagged the best regional airport in India and South Asia title in the 2022 Skytrax World Airport Awards.
• The Chhatrapati Shivaji Maharaj International Airport in Mumbai has launched a Vertical Axis Wind Turbine (VAWT) and Solar PV hybrid (Solar Mill).
• With this, It will become the first airport in India to launch a one-of-its-kind hybrid power project.
• Delhi's Indira Gandhi International Airport has decided to replace all vehicles with electric vehicles (EVs) on the airside operations to cut greenhouse gas emissions.

The correct answer is 'The Satpura range flanks its broad base in the west'

Key Points

• Deccan Plateau:
• The Deccan Plateau is a large plateau located in southern India, characterized by its high altitude and rich volcanic soil, which supports diverse flora and fauna.
• This plateau is primarily a segment of the ancient Gondwanaland and includes parts of eight Indian states, stretching from the Satpura Range in the north to the Southern Indian ranges of the Eastern and Western Ghats.
• The plateau covers approximately 500,000 square kilometers, making it one of the largest plateaus in the world.
• Geographical Features:
• The Deccan Plateau is higher in the west and slopes gently eastwards, a characteristic that influences the flow of many rivers originating in the west and draining eastwards into the Bay of Bengal.
• This eastward slope is due to tectonic activity and the ancient geological processes that have shaped the land over millions of years.
• It forms a roughly triangular landmass, bounded by the Satpura and Vindhya Ranges to the north, the Eastern Ghats to the east, and the Western Ghats to the west.

Additional Information

• Extension to the Northeast:
• An extension of the Deccan Plateau is also visible in the northeast, where it merges into the Chota Nagpur Plateau. This area, rich in minerals, is crucial for India's mining industry.
• Incorrect Statement about the Satpura Range:
• The Satpura range does not flank the Deccan Plateau’s broad base in the west. Instead, it is situated to the north of the plateau and runs parallel to the Vindhya Range. Together, they demarcate the boundary between the Indo-Gangetic plains and the Deccan Plateau.
• The Western Ghats, a continuous range running parallel to the western coast of India, is the range that borders the Deccan Plateau on the west.
• Western and Eastern Ghats:
• The Western Ghats are known for their biodiversity and are a UNESCO World Heritage site. They rise steeply from the west coast and descend gently towards the plateau.
• The Eastern Ghats are a series of discontinuous hills and mountains that run along India's eastern coast. These ranges are lower in elevation compared to the Western Ghats and are less continuous.

The correct answer is Only I.

Key Points

• Lovlina Borgohain is a well-known Indian boxer.
• She hails from Assam, India, and has represented her country in many international tournaments, including the Olympics.
• She has won numerous medals for her country in the field of boxing, which confirms the first part of the statement as true.
• Nikhat Zareen, on the other hand, is also an Indian sportsperson, but she is not a wrestler.
• She, too, is involved in boxing, not wrestling.
• She is a former Junior World Champion and has represented India in various boxing championships.
• The misconception might arise due to the fact that both Lovlina Borgohain and Nikhat Zareen are involved in combat sports.
• However, they are both boxers and not involved in wrestling.
• Hence, statement II**, "Nikhat Zareen - Wrestling", is not correct while statement I, "Lovlina Borgohain - Boxing", is correct.**
• Thus, the correct answer is 4) Only I.

Lovlina Borgohain

Nikhat Zareen

The correct answer is India.

Key Points

• The X-ray spectrometer 'CLASS' on the Chandrayaan-2 Orbiter has mapped an abundance of sodium on the moon for the first time, according to ISRO.
• The findings of the spectrometer were published in 'The Astrophysical Journal Letters' in the last week of Sept 2022.
• The new findings will be helpful in the study of surface-exosphere interaction on the moon.

Additional Information

• Chandrayaan-2 is India’s 2^nd moon mission which was successfully launched by GSLV-MkIII-M1 from Second Launch Pad at Satish Dhawan Space Centre, Sriharikota in Andhra Pradesh.
• In 2019, Chandrayaan-2 was launched with an orbiter and a lander named Vikram, and a six-wheeled rover named Pragyaan ISRO.
• The orbiter is still functional and the lander crashed before its induction in any research operation.
• The spacecraft was launched on its mission to the Moon on 22 July 2019 by a GSLV Mark III-M1.
• It got a failure when was entering the atmosphere of the moon.
• According to a failure analysis report submitted to ISRO, the crash was caused by a software glitch. ISRO may re-attempt a landing in 2022 with Chandrayaan-3.
• India's first mission to the moon, Chandrayaan1 was launched from Sriharikota.
• It was successfully launched on October 22, 2008.
• Chandrayaan-1 operated for 312 days.
• It confirmed the presence of lunar water.
• The evidence of lunar caves was also confirmed by the Chandrayaan-I.

The correct answer is Part IX.

Key Points

• Panchayati Raj
• Panchayati Raj is the system of local self-government of villages in rural India as opposed to urban and suburban municipalities.
• It consists of the Panchayati Raj Institutions (PRIs) through which the self-government of villages is realized.
• They are tasked with "economic development, strengthening social justice and implementation of Central and State Government Schemes including those 29 subjects listed in the Eleventh Schedule."
• ​Part IX of the Indian Constitution is the section of the Constitution relating to the Panchayats.
• It stipulates that in states or Union Territories with more than two million inhabitants there are three levels of PRIs:
• Zilla Parishad at the District Level
• Panchayat Samiti at the Block Level
• Gram/Village Panchayat at the Village Level

Additional Information

• 73^rd Constitutional Amendment Act,1992 added Article 243 to Article 243O and a new part Part IX to the constitution of India.
• Salient features of this Act:
• Gram Sabha (Article 243A):
• ​A body of all persons registered in the electoral roll of that Panchayat.
• Three-Tier System (Article 243B):
• ​Panchayat at the village, intermediate, and district levels.
• The election of members and chairpersons are given under Article 243B.
• Reservation of seats for SC/ST is provided at all three levels under Article 243D.
• The duration of Panchayats is given under Article 243E, it is constituted for five years.
• Grounds of disqualification are given under Article 243F.
• Powers, authorities, and responsibilities are given in Article 243G and enlisted in the 11^th schedule of the constitution.
• State Election Commission (243K) for superintendence, control, and direction of the election in Panchayats.

The correct answer is Karnam Malleswari.

Key Points

• Karnam Malleswari is a former woman weightlifter from India.
• She was born on June 1, 1975, and belongs to Andhra Pradesh.
• Her first achievement was at Weightlifting Nationals (senior) held at Ambala in 1991, where she won a silver medal.
• At Sydney Olympics, in 2000 she won a bronze medal in weightlifting in the 69kg category.
• She clinched a gold at the 1994 Asian Games held in Hiroshima.
• She also fetched gold medals at the 1994 and 1995 World Championships.
• She has been honoured with Arjuna Award (1994), Rajiv Khel Ratna Award  (1999) and Padma Shri (1999).
• She is also known as the 'Iron Lady of Andhra Pradesh'.

Additional Information

The correct answer is Henry Louis Vivian Derozio.

Key Points

• Henry Louis Vivian Derozio is the founder of the Young Bengal movement.
• Henry Louis Vivian Derozio:
• He was an Indian poet of Portuguese origin and assistant headmaster of Hindu College, Kolkata.
• He was a radical thinker of his time and one of the first Indian educators to disseminate Western learning and science among the young men of Bengal.
• He joined the Hindu College as a teacher at the age of seventeen.
• He and his students called DErozians or Young Bengal promoted radical reformist ideas among the people of Bengal.
• He was a poet, novelist, and writer. He was also the first nationalist poet of modern India.
• The " Fakeer of Jungheera" is a long poem by Henry Louis Vivian Derozio.
• Most of the work in found to Indian religion, culture, rule and regulation, rigidity, culture, etc.
• Derozio died of cholera at an early age of 22 on 26 December 1831 in Calcutta. His body was buried in the South Park Street Cemetery of Kolkata.

Additional Information

• Dayananda Saraswati
• Dayananda Saraswati [1824-1883] was the first to give the call for Swarajya – "India for Indians" – in 1876.
• For his own inspiration, Swami Dayanand went to the Vedas which he regarded as infallible.
• He rejected all later religious thought if it conflicted with the Vedas.
• This total dependence on Vedas and their infallibility gave his teachings orthodox coloring.
• He was opposed to idolatry, ritual, and priesthood and particularly to the prevalent caste practices and popular Hinduism as preached by brahmins.
• ​Swami Dayanand met Keshub Chandra Sen, Vidyasagar, Justice Ranade, Gopal Hari Deshmukh, and other modern religious and social reformers.
• He took inspiration from the Vedas and considered them to be ‘India’s Rock of Ages, the infallible, and the true original seed of Hinduism.
• He gave the slogan “Back to the Vedas”.
• Dayananda’s slogan of ‘Back to the Vedas’ was a call for a revival of Vedic learning and Vedic purity of religion and not a revival of Vedic times.
• He accepted modernity and displayed a patriotic attitude to national problems.
• Lala Hansraj
• ​Anglo-Vedic colleges or schools are also known as Dayanand Anglo-Vedic schools.
• Dayanand Anglo Vedic (DAV) Schools were founded in 1886 in Lahore by the efforts of Mahatma Hansraj in memory of Swami Dayanand Saraswati.
• The schools were run by the Dayanand Anglo-Vedic College Trust & Management Society, also known as the Dayanand Anglo-Vedic Education Society.
• DAV institutions are the best place to study and work together.
• Under the DAV family, there are 900 schools, 75 colleges, and a university.
• “DAV Movement” founded in 1886 by Lala Lajpat Rai (Father of the DAV Movement) picked up momentum due to the arduous efforts of Lala Lajpat Rai, Mahatma Hans Raj, Pandit Gurudutt Vidyarthi, and many others dedicated as the Arya Samaj activist.
• Keshub Chandra Sen (also spelled Keshab Chunder Sen) was born in an affluent family of Calcutta on 19 November 1838.
• In 1857, he joined the Brahmo Samaj and took up studying philosophy.
• Sen was inspired by Christian teachings and sought to fuse Christian teachings into the Hindu framework.
• He thought that only the Christian doctrine would help instill new life into Hindu society.
• He was also impressed with the discipline of Christian missionary work and started following it himself.
• His lean towards Christianity caused a rift between him and Tagore and he broke away from the Samaj and formed the Bharat Barshiya Brahmo Samaj (Brahmo Samaj of India).

The correct answer is Iga Swiatek.

Key Points

• Iga Sviatek defeated Ons Jabeur of Tunisia to win the US Open 2022.
• Two-time French Open champion Swiatek defeated Ons Jabeur in straight sets 6-2, 7-6(5) in the final to win her third Grand Slam title.
• Sviatek had never advanced past the fourth round at the US Open.
• In July, Sviatek came to Flushing Meadows with a 4-4 record after a 37-match winning streak ended.
• Iga Sviatek is a Polish professional tennis player.
• She is currently ranked world No. 1 by the Women's Tennis Association (WTA).

Additional Information 

• US Open Tennis Championships
• The US Open Tennis Championships is a hardcourt tennis tournament.
• It is held every year in Queens, New York.
• Since 1987, the US Open has been chronologically the fourth and final Grand Slam tournament of the year.
• Founded - 1881
• The other three, in chronological order, are
• The Australian Open,
• French Open and
• Wimbledon.

The correct answer is Jupiter.

Key Points

• The Solar System contains 8 planets:

Additional Information

• Venus and Earth are almost the same size, have about the same mass (they weigh about the same), and have a very similar composition (are made of the same material).
• Venus is considered as Earth’s-twin because its size and shape are very much similar to that of the earth.
• Venus is the second planet from the Sun and is the brightest planet in the solar system.
• It is sometimes referred to as the sister planet to Earth, because of its similar mass and size.
• The planet is named after the Roman goddess of love and beauty.
• Venus is the brightest planet and is easily noticeable with unaided eyes.
• One of the earliest Babylonian astronomical documents speaks about Venus.

Shortcut Trick

My Very Excited Mother Just Served Us Nachos

• M → Mercury, V → Venus, E → Earth, M → Mars, J → Jupiter, S → Saturn, U → Uranus, N → Neptune

The correct answer is SBI.

Key Points

• Electoral bonds in India can be purchased from the State Bank of India (SBI).
• Therefore, the correct option is SBI
• These bonds are a financial instrument for making donations to political parties and were introduced by the Government of India in 2017.
• These are available for purchase by any Indian citizen or company from specified branches of the State Bank of India.

Additional Information

The correct answer is Dalton's Law.

Key Points

• Dalton's Law:
• Definition: Dalton's Law, also known as the Law of Partial Pressures, states that the total pressure exerted by a mixture of gases is the sum of the partial pressures of the individual gases.
• Partial Pressure: The pressure that each gas would exert if it alone occupied the entire volume of the mixture is its partial pressure.
• Independent Behaviour: The law assumes that gases behave independently of each other, meaning the pressure of each gas in a mixture is unaffected by the presence of other gases.
• Applications: Dalton's Law has important applications in many areas including chemistry, physics, physiology, and even scuba diving, where understanding the pressures of different gas components is crucial.

Additional Information

The correct answer is Peru.

Key Points

• El Nino is a surroundings layout that depicts the odd warming of surface waters in the Japanese tropical Pacific Ocean.
• El Nino is a weather circumstance that happens in the Pacific Ocean.
• The term **El Niño (**Spanish for 'the Christ Child') refers to a warming of the ocean surface, or above-average sea surface temperatures, in the central and eastern tropical Pacific Ocean.
• The low-level surface winds, which normally blow from east to west along the equator (“easterly winds”), instead weaken or, in some cases, start blowing the other direction (from west to east or “westerly winds”).
• El Niño recurs irregularly, from two years to a decade, and no two events are exactly alike. El Niño events can disrupt normal weather patterns in the United States and globally.
• Los Angeles Nina is a surroundings layout that depicts the cooling of floor sea waters along the tropical west shore of South the united states.
• The Mediterranean Sea envelops endless islands, a number of them being volcanic starting. The two by using a huge margin biggest islands are Sicily and Sardinia.

Additional Information

Shortcut Trick

Total bananas = 2 dozen = 24. Cost Price (CP) = ₹30.

Selling Price (SP) for 15 bananas = 15 × (₹12 ÷ 12) = ₹15.

Remaining 9 bananas SP = 9 × (₹5 ÷ 12) = ₹3.75.

Total SP = 15 + 3.75 = ₹18.75.

Loss % = [(30 − 18.75) ÷ 30] × 100 = (11.25 ÷ 30) × 100 = 37.5%.

∴ The correct answer is 37.5%.

Alternate Method

Given:

Total quantity = 24 bananas (2 dozen)

Total CP = ₹30

Rate 1 = ₹12 per dozen | Quantity 1 = 15 bananas

Rate 2 = ₹5 per dozen | Quantity 2 = 9 bananas (24 − 15)

Formula Used:

Loss = Cost Price (CP) − Selling Price (SP)

Loss Percentage = (Loss ÷ CP) × 100

Calculations:

⇒ SP of 15 bananas = 15 × (12 ÷ 12) = ₹15

⇒ SP of remaining 9 bananas = 9 × (5 ÷ 12) = 45 ÷ 12 = ₹3.75

⇒ Total SP = 15 + 3.75 = ₹18.75

⇒ Total Loss = 30 − 18.75 = ₹11.25

⇒ Loss % = (11.25 ÷ 30) × 100

⇒ Loss % = 0.375 × 100 = 37.5%

∴ The correct answer is 37.5%.

Additional Information

Profit Percentage Formula

When SP > CP, Profit % = [(SP − CP) ÷ CP] × 100.

Selling Price Calculation

In case of Loss, SP = CP × (100 − Loss %) ÷ 100. In case of Profit, SP = CP × (100 + Profit %) ÷ 100.

Unit Conversion

1 Dozen = 12 units. Always convert rates to a single unit (per item) or convert quantities to dozens for calculation consistency.

Given:

x - y = 8 and 8xy = 8

Concept Used:

(x - y)³ = x³ - y³ - 3xy(x - y)

Calculation:

8xy = 8

⇒ xy = 1

x - y = 8

Cubing both sides

(x - y)³ = 8³

x3 - y3 - 3xy(x - y) = 512

x3 - y3 = 3xy(x - y) + 512

Put the given values

x 3 - y3 = 3 × 1 × 8 + 512

x3 - y3 = 24 + 512

x3 - y3 = 536

2x3 - 2y3 = 536 × 2 = 1072

∴ Option 3 is the correct answer.

Calculation:

Statement I:

Marks obtained by S1 and S2 = 60 + 80 = 140

Average = 140/2 = 70

Statement I is true.

Statement II:

The ratio of marks obtained by Q in S3 to the marks obtained in S4 are 130 : 70 = 13 : 7

Statement II is true.

Both the statement is true.

∴ Option 2 is the correct answer.

Given:

a + b + c = 12

ab + bc + ca = 22

Formula Used:

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

Solution:

Using the given equation a + b + c = 12, we can substitute this value into the formula:

a^3 + b^3 + c^3 - 3abc = (12)(a2 + b2 + c2 - ab - bc - ca)

To find the value of a2 + b2 + c2  - ab - bc - ca, we'll square the equation a + b + c = 12:

(a + b + c)² = 12²

a2 + b2 + c2 + 2(ab + bc + ca) = 144

Substituting the given equation ab + bc + ca = 22:

a2 + b2 + c2 + 2(22) = 144

a2 + b2 + c2 = 100

Now we have the value of a2 + b2 + c2 - ab - bc - ca:

a2 + b2 + c2 - ab - bc - ca = 100 - 22 = 78

Substituting this value back into the formula, we get:

a3 + b3 + c3 - 3abc = (12)(78)

a3 + b3 + c3 - 3abc = 936

Therefore, the value of a3 + b3 + c3 - 3abc is 936.

Given:

△PQR is right angled at Q.

Concept Used:

Angle sum property = Sum of all the angles of the triangle is 180° .

Calculation:

△PQR is right angled at Q.

Value of P + R = 180° - ∠Q

⇒ 180° - 90° 

⇒ 90° 

cos (P + R) = cos 90° 

⇒ cos (P + R) = 0

∴ Option 4 is the correct answer.

Given:

The angle subtended by a chord on the major arc of a circle is 50 degrees.

Concept used:

The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

Calculation:

Let O, R, and PQ be the centre, a point on the major arc, and the aforementioned chord respectively.

So, the major arc for the PQ chord is PRQ.

Hence, ∠PRQ = 50°

Here, ∠POQ is the angle subtended by the same chord, PQ on the centre of the circle.

According to the concept,

∠POQ = 2 × ∠PRQ

⇒ ∠POQ = 2 × 50°

⇒ ∠POQ = 100°

∴ The angle subtended by the same chord on the centre of the circle is 100°.

∴ Option 1 is the correct answer.

Calculation:

J1 = The average production of rice by A in years L, M and N = (100 + 80 + 60)/3 = 80

J2 = The production of rice by B in years N, P and Q = (100 + 90 + 75) = 265

J2/J1 = 265/80 = 3.31

∴ Option 2 is the correct answer.

Given:

3tanθ = 2

Formula Used:

tanθ = sinθ/cosθ 

Calculation:

⇒ (3sinθ - cosθ)/(3sinθ + cosθ)

Divide by cosθ in numerator and denominator

⇒ [(3sinθ - cosθ)/cosθ]/[(3sinθ + cosθ)/cosθ]

⇒ (3tanθ - 1)/(3tanθ + 1) 

⇒ (3 × 2/3 - 1)/(3 × 2/3 + 1) 

⇒ (2 - 1)/(2 + 1)

⇒ 1/3

∴ Option 4 is the correct answer.

Given:

(1 - 1/p)²

Formula Used:

(a - b)² = a² + b² - 2ab

Calculation:

(1 - 1/p)2 = 1 + 1/p² - 2/p

∴ Option 2 is the correct answer.

Calculation:

√3tan²θ - 4tanθ + √3 = 0

⇒ √3tan²θ + √3 =  4tanθ 

⇒ $\sqrt 3[tan\theta +\frac{1}{tan\theta }] = 4$

⇒ $[tan\theta +\frac{1}{tan\theta }] = \frac{4}{\sqrt 3}$

Squaring both sides,

$[tan\theta +\frac{1}{tan\theta }]^2 = \frac{16}{ 3}$

$[tan^2\theta +\frac{1}{tan^2\theta }+2] = \frac{16}{3}$

⇒ $[tan^2\theta +\frac{1}{tan^2\theta }] = \frac{16}{3}-2$

⇒ $[tan^2\theta +\frac{1}{tan^2\theta }] = \frac{10}{3}$

⇒ $tan^2\theta +cot^2\theta= \frac{10}{3}$

∴ Option 2 is the correct answer.

Shortcut Trick

Total Votes = 12000

Valid Votes share = 90%

Other candidate share = 100% − 60% = 40% of valid votes

Votes for other candidate = 12000 × 0.90 × 0.40 = 4320

∴ The correct answer is 4320.

Alternate Method

Given:

Total number of votes = 12000

Percentage of valid votes = 90%

Percentage of valid votes for Candidate 1 = 60%

Calculations:

⇒ Total valid votes = 90% of 12000

⇒ Total valid votes = (90 ÷ 100) × 12000 = 10800

⇒ Since Candidate 1 got 60% of valid votes, Candidate 2 (other candidate) got = 100% − 60% = 40%

⇒ Valid votes for other candidate = 40% of 10800

⇒ Valid votes for other candidate = (40 ÷ 100) × 10800

⇒ Valid votes for other candidate = 4 × 1080 = 4320

∴ The correct answer is 4320.

Additional Information

Valid and Invalid Votes

In election problems, always calculate valid votes first: Valid Votes = Total Cast Votes − Invalid Votes.

Winning Margin

The difference between the votes of the winner and the loser is called the margin: Margin = Winner's Votes − Loser's Votes.

Successive Percentage

To find a final value after multiple percentage conditions: Final = Total × (Valid%) × (Candidate's share%).

Given:

P:Q = 1:3, Q:R = 3:4, R:S = 2:1

Calculations:

Let P = k, Q = 3k

Q:R = 3:4 ⇒ Q = 3k, R = 4k

R:S = 2:1 ⇒ R = 2n, S = n

Match R ⇒ 4k = 2n ⇒ n = 2k

S = n = 2k

P:S = k : 2k ⇒ 1 : 2

∴ P:S = 1:2

 

Alternate Method

 

 

P : Q : R : S = 1 : 3 : 4 : 2

 

P : S = 1 : 2

Given:-

Diagonals are d1 = 8 cm

                       d2 = 13 cm

Working formula

Area of rhombus = (1/2) d1 × d2

Calculation:-

Area of rhombus = (1/2) × 8 × 13

∴ Area of rhombus is 52 cm2

Shortcut Trick

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

SP = 75% of 1200 = 3/4 × 1200 = Rs. 900.

Profit = SP − CP = 900 − 800 = Rs. 100.

∴ The correct answer is Rs. 100.

Alternate Method

CP: 800

SP: 900

MP: 1200

Profit = +100

Discount = 25% Profit = SP − CP = 100

Given:

Marked Price (MP) = Rs. 1200

Discount = 25%

Cost Price (CP) = Rs. 800

Formula Used:

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

Profit = SP − CP

Calculations:

⇒ SP = 1200 × (100 − 25) / 100

⇒ SP = 1200 × 75 / 100

⇒ SP = 12 × 75 = Rs. 900

⇒ Profit = 900 − 800

⇒ Profit = Rs. 100

∴ The correct answer is Rs. 100.

Additional Information

Marked Price & Discount

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

Profit & Loss Calculation

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

Successive Discount

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

Given:

M1 = 50 boys

H1 = 6 hours

D1 = 30 days

M2 = 25 boys

D2 = 24 days

Concept Used:

M1D1H1 = M2D2H2

Where,

M1 and M2 = Number of persons

D1 and D2 = Number of days

H1 and H2 =  Number of hours

Calculation:

According to the question, we have

(50 × 6 × 30) = (25 × 24 × H₂)

⇒ H2 = (50 × 6 × 30)/(25 × 24)

⇒ H2 = 15

∴ The 25 boys can complete the same work in 24 days by working 15 hours per day.

Calculation:

The total market price of all articles

1300 + 900 + 1100 + 800 + 600 + 700 + 1200 = 6600

The total selling price of all articles

700 + 400 + 700 + 600 + 500 + 400 + 400 = 3700

According to the question:

(6600 - 3700)/3700 × 100

(2900)/3700 × 100

78.37 percent

∴ Option 3 is the correct answer.

Given:

PM and PN are two tangents of a circle from an external point P.

PM = y2 - 9

PN = 55

Concept:

Tangents are equal in length drawn from an outside point on the circle.

Calculation:

According to the concept,

PM = PN    (Tangents are equal)

y2 - 9 = 55

y2 = 55 + 9 = 64

y = 8

∴ Option 3 is the correct answer.

Given:

ABCD is a cyclic quadrilateral, AB is the diameter of the circle

∠ACD = 45°

Concept used:

The angle subtended by the diameter of a circle at the circumference is 90°.

The opposite angles of a cyclic quadrilateral are supplementary which means that the sum of either pair of opposite angles is equal to 180°.

Calculation:

Both ∠ADB and ∠ACB are subtended by the diameter AB.

According to the concept,

∠ADB = ∠ACB = 90°

Now,

∠BCD

⇒ ∠ACD + ∠ACB

⇒ 45 + 90

⇒ 135° 

According to the concept,

∠BAD + ∠BCD = 180° 

⇒ ∠BAD + 135° = 180°

⇒ ∠BAD  = 180° - 135°

⇒ ∠BAD  = 45°

∴ The value of ∠BAD is 45°.

Shortcut Trick

Since Time is constant, the Distance is directly proportional to Speed (D ∝ S).

Ratio of Speeds = 10 : 12 = 5 : 6

Ratio of Distances = 5 : 6

Difference in ratio units = 6 − 5 = 1 unit

According to the question, 1 unit = 15 km

Actual distance cycled (5 units) = 5 × 15 = 75 km

∴ The correct answer is 75 km.

Alternate Method

Given: Initial Speed = 10 kmph, Final Speed = 12 kmph, Increase in Distance = 15 km.

Formula Used: Time = Distance ÷ Speed

⇒ Let the actual distance be 'x' km.

⇒ Time taken at 10 kmph = x/10 hours

⇒ Time taken at 12 kmph = (x + 15)/12 hours

⇒ x/10 = (x + 15)/12

⇒ 12 × x = 10 × (x + 15)

⇒ 12x = 10x + 150

⇒ 12x − 10x = 150

⇒ 2x = 150

⇒ x = 150 ÷ 2 = 75 km

∴ The correct answer is 75 km.

Additional Information

Constant Time Property

When time is constant, the ratio of distances covered is the same as the ratio of their respective speeds: D₁/D₂ = S₁/S₂.

Constant Distance Property

When distance is constant, speed and time are inversely proportional: S₁ × T₁ = S₂ × T₂ or S₁/S₂ = T₂/T₁.

Speed-Distance Units

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

∴ The correct answer is 75 km.

Given: 

Average monthly income of A and B = Rs. 7000

Average monthly income of B and C = Rs. 7750

Average monthly income of A and C = Rs. 6750

Formula used:

Average of N terms = Sum of N terms/N 

Calculation:

A + B = 2 × 7000 = 14000

B + C = 2 × 7750 = 15500

C + A = 2 × 6750 = 13500     -----(1)

⇒ A + B + C = 43000/2 = 21500      -----(2)

⇒ (2) - (1)

⇒ B = 21500 - 13500 = 8000

∴ Monthly income of B is Rs. 8000.

∴ Option 2 is the correct answer.

Calculation:

Football liked by 122 students.

Hockey liked by 58 students.

Cricket liked by 115 students.

Kabaddi liked by 50 students.

Tennis liked by 105 students.

∴ Football is favourite sport of maximum students.

∴ Option 1 is the correct answer.

Calculation:

Let the sum be P and the rate of interest be r

Simple interest = PRT/100

⇒ 1050 = P + PR × (5/100)

⇒ P(1 + 5R/100) = 1050        -------(1)

⇒ 1230 = P + PR × (8/100)

⇒ P(1 + 8R/100) = 1230        -------(2)

Solving (1) and (2), 

⇒ (1 + 5R/100)/(1 + 8R/100) = 1050/1230

⇒ (1 + 5R/100)/(1 + 8R/100) = 35/41

⇒ 41(1 + 5R/100) = 35(1 + 8R/100)

⇒ 41 + 205R/100 = 35 + 280R/100

⇒ 75R/100 = 6

⇒ R = 6 × 4/3

⇒ R = 8%

Put the value in (1)

⇒ P(1 + 5 × 8/100) = 1050 

⇒ P = 1050 × 5/7

⇒ P = Rs. 750

∴ Option 4 is the correct answer.

Calculation:

Statement I:

$\frac{1}{2} + \frac{1}{6} + \frac{1}{12} + ...... \frac{1}{110} < \frac{5}{6}$

Expand LHS

$\frac{1}{2} + \frac{1}{2\times 3} + \frac{1}{3\times 4} + ...... \frac{1}{10\times 11} < \frac{5}{6}$

$\frac{1}{2} + \frac{1}{2} -\frac{1}{3} + \frac{1}{3} -\frac{1}{4} + ...... \frac{1}{10}-\frac{1}{11} < \frac{5}{6}$

$1-\frac{1}{11} < \frac{5}{6}$

$\frac{10}{11} < \frac{5}{6}$

which is wrong,

Statement I is incorrect.

Statement II:

$\frac{1}{3} + \frac{1}{15} + \frac{1}{35} + ...... \frac{1}{143} > \frac{7}{13}$

$\frac{1}{3} + \frac{1}{3\times 5} + \frac{1}{5\times 7} + ...... \frac{1}{11\times 13} > \frac{7}{13}$

$\frac{1}{3} +\frac{2}{2}[ \frac{1}{3\times 5} + \frac{1}{5\times 7} + ...... \frac{1}{11\times 13}] > \frac{7}{13}$

$\frac{1}{3} +\frac{1}{2}[\frac{1}{3}-\frac{1}{5} + \frac{1}{5}-\frac{1}{7} + ...... +\frac{1}{11}-\frac{1}{13}] > \frac{7}{13}$

$\frac{1}{3} +\frac{1}{2}[\frac{1}{3}-\frac{1}{13}] > \frac{7}{13}$

$\frac{1}{3} +\frac{5}{39}> \frac{7}{13}$

$\frac{6}{13}> \frac{7}{13}$

which is wrong

Statement II is incorrect

Both the statement is incorrect.

∴ Option 4 is the correct answer.

Given:

Length of one diagonal of the rhombus = 40 cm

Length of the other diagonal of the rhombus = 60 cm

Formula Used:

In a rhombus, the diagonals are perpendicular bisectors of each other, and they divide the rhombus into four congruent right-angled triangles.

Let's use the Pythagorean theorem to find the length of the side of the rhombus.

Solution:

Let's denote the length of the side of the rhombus as "s" and the diagonal as d1 and d2.

According to the given information, the diagonals of the rhombus are 40 cm and 60 cm. These diagonals divide the rhombus into four congruent right-angled triangles.

Using the Pythagorean theorem, we can write the following equation for one of the right-angled triangles:

(d1/2)² + (d2/2)² = (s)²

Simplifying this equation:

(40/2)2 + (60/2)2 = (s)2

(20)2 + (30)2 = (s)2

400+ 900 = (s)2

s² = 1300

s = √1300

s = 10√13

Therefore, the length of the side of the rhombus is 10√13 cm.

Shortcut Trick

Solve using BODMAS: Divide first, then multiply.

15 + (18 ÷ 3) × 5 − (12 ÷ 4) + a = 100

15 + 6 × 5 − 3 + a = 100

15 + 30 − 3 + a = 100

42 + a = 100 ⇒ a = 58

∴ The correct answer is 58.

Alternate Method

Given equation: 15 + 18 ÷ 3 × 5 − 12 ÷ 4 + a = 100

Formula used: BODMAS (Brackets, Of, Division, Multiplication, Addition, Subtraction)

⇒ 15 + (18 ÷ 3) × 5 − (12 ÷ 4) + a = 100

⇒ 15 + 6 × 5 − 3 + a = 100

⇒ 15 + 30 − 3 + a = 100

⇒ 45 − 3 + a = 100

⇒ 42 + a = 100

⇒ a = 100 − 42

⇒ a = 58

∴ The correct answer is 58.

Additional Information

BODMAS Rule

BODMAS stands for Brackets, Of, Division, Multiplication, Addition, and Subtraction. It defines the order in which mathematical operations should be performed.

Division and Multiplication Priority

In the BODMAS rule, Division and Multiplication have the same priority level and are solved in the order they appear from left to right.

Addition and Subtraction Priority

Addition and Subtraction also have the same priority and are typically performed after all multiplication and division steps are completed.

The correct answer is 'Option 4' i.e. 'Slowly moved'.

Key Points

• The underlined part of the sentence, "slow moved forward," is incorrect.
• The verb "moved" should be modified by an adverb, not an adjective.
• The adverb "slowly" correctly modifies "moved," showing the manner in which the action is performed.
• Furthermore, we need to use the past tense "moved" to match the past tense verb "released" earlier in the sentence.

Therefore, the correct sentence is: He released the brake, and the tractor slowly moved forward.

The correct answer is 'Option 3' i.e. 'Occurred'. 

Key Points

• The sentence is discussing whether certain thoughts have ever happened or come to mind for Liz Truss, who is still the prime minister of Britain at the time of writing.
• The verb "occurred" accurately conveys this meaning. It implies the idea of thoughts happening or taking place in one's mind.
• "occurred," is the most suitable choice, as it accurately reflects the idea of thoughts happening or coming to mind.

Therefore, the correct sentence is: I don't know if such thoughts have ever occurred to Liz Truss, who is still, at the time of writing, Britain's prime minister.

Additional Information

• Let's analyze the other options:
• "Yielded" means to produce or provide, but it doesn't fit the context of thoughts happening to someone.
• "Monitored" means to observe or track, which doesn't make sense in the context of thoughts occurring to someone.
• "Desisted" means to cease or stop, which also doesn't fit the context of thoughts happening to someone.

The correct answer is 'Option 4' i.e. 'Associated with'. 

Key Points

• The word "associated" means connected or linked to something else.
• In this context, the phrase "associated with" accurately expresses the relationship between hallucinations and mental health issues.
• Hallucinations are often found or connected with mental health problems.

Therefore, the correct sentence is- 'A hallucination is an error in perception that is why it is often associated with mental health issues.

Additional Information

• Now let's analyze the other options:
• "Accounted with" doesn't convey the appropriate meaning in this context. It implies a financial or numerical calculation, which doesn't fit the relationship between hallucinations and mental health issues.
• "Suspended in" implies a state of being temporarily stopped or hanging in something, which doesn't make sense in the context of hallucinations and mental health issues.
• "Dispose of" means to get rid of or throw away, which doesn't convey the intended meaning of the sentence.

The correct answer is 'Option 3' i.e. 'Dengue fever infects little' 

Key Points

• The sentence contains an error in the phrase "infects little." because it conveys the opposite meaning of what is intended.
• The word "little" is incorrect in this context because it implies a small quantity or amount, which doesn't make sense in relation to the number of people infected with dengue fever.
• The correct word to use here is "more than" to convey the large number of people affected by dengue fever annually.

Therefore, the correct sentence is: "As per the study, mosquito-borne dengue fever infects more than 400 million people annually."

The correct answer is 'Option 2' i.e. 'Large crowd has gathered from yesterday'. 

Key Points

• The segment "large crowd has gathered from yesterday" contains a grammatical error.
• The word "from" should be replaced with "since" to indicate the duration of time.
• "Since" is more appropriate in this context as it signifies that the crowd has been gathering continuously starting from the previous day.

Therefore, the correct sentence is: 'It's 4 p.m. local time and quite a large crowd has gathered since yesterday evening around the giant stage.

The correct answer is Ignore, avoid or be unfriendly towards someone.

Key Points

• The correct answer is 4) Ignore, avoid or be unfriendly towards someone.
• The idiom "give cold shoulder" means to intentionally ignore, avoid, or be unfriendly towards someone. It is an expression used to describe a behavior where someone is deliberately disregarded or treated with indifference.(किसी के प्रति जानबूझकर उपेक्षा करना, बचना या अमित्र होना। यह एक ऐसे व्यवहार का वर्णन करने के लिए उपयोग की जाने वाली अभिव्यक्ति है जहां किसी को जानबूझकर अवहेलना या उदासीनता से व्यवहार किया जाता है।)
• Example: "Sarah tried to talk to her colleague about an important matter, but he gave her the cold shoulder and walked away without acknowledging her."
• In this example, the colleague intentionally ignores Sarah and shows unfriendliness by walking away without acknowledging her attempt to engage in a conversation.(इस उदाहरण में, सहकर्मी जानबूझकर सारा की उपेक्षा करता है और बातचीत में शामिल होने के उसके प्रयास को स्वीकार किए बिना दूर जाकर मित्रता दिखाता है।)
• Therefore, the most appropriate meaning of the idiom "give cold shoulder" is to ignore, avoid, or be unfriendly towards someone.

The correct answer is 3) Indict.

Key Points

• The word "indict" is the correct spelling. It is a verb that means to formally accuse someone of a crime or wrongdoing, typically through a legal process.
• Example: "The prosecutor plans to indict the suspect for fraud and embezzlement."
• In this example, "indict" is used to describe the action of formally charging the suspect with specific crimes.
• Now let's examine the other options:
• Indiet: This option is not the correct spelling of the word. It does not exist in the English language.
• Indit: This option is not the correct spelling of the word. It does not exist in the English language.
• Indicte: This option is not the correct spelling of the word. It has an extra "e" at the end. The correct spelling is "indict" without the additional "e."
• It's important to note that "indict" is a commonly misspelled word, often confused with similar-sounding words. However, the correct spelling is "indict" with a "c," as shown in option 3.