SSC CHSL Tier-1 2022: Official Paper (Held On: 10 March, 2023 Shift 2) (Previous Year Paper)

The logic followed here is:

For, 64 # 58 # 32 = -26

⇒ 64 - (58 + 32)

⇒ 64 - 90 = -26.

For, 104 # 17 # 89 = -2

⇒ 104 - (17 + 89) 

⇒ 104 - 106 = -2.

Similarly, for 56 # 7 # 24 = ?

⇒ 56 - (7 + 24) 

⇒ 56 - 31 = 25.

Hence, the correct answer is "25".

The logic followed here is:

Logic: Product of the Place Value of the given letters.

Now,

'DO' is written as '60',

→ D = 4, O = 15,

⇒ 4 × 15 = 60.

'PIE' is written as '720',

→ P = 16, I = 9, E = 5,

⇒ 16 × 9 × 5 = 720.

Similarly, for 'CAT'

→ C = 3, A = 1, T = 20,

⇒ 3 × 1 × 20 = 60.

So, 'CAT' is written as '60'.

Hence, the correct answer is "60".

The logic followed here is:

Site ∶ Engineer → An engineer is associated with a specific location where they work.

Similarly,

House ∶ Servant → A servant is associated with a specific House where they work.

Hence, the correct answer is "Option 4".

 Additional Information

Waiter ∶ Restaurant → A Waiter is associated with a specific Restaurant where they work.

Grocer ∶ Shop → A Grocer is associated with a specific Shop where they work.

Scientist ∶ Laboratory → A Scientist is associated with a specific Laboratory where they work.

The logic followed here is:

Bhutan ∶ Thimphu → Thimphu is the capital city of Bhutan.

Similarly,

Pakistan ∶ Islamabad → Islamabad is the capital city of Pakistan.

Hence, the correct answer is "Option 3".

Additional Information Rome ∶ Italy → Rome is the capital city of Italy.

China ∶ Hong Kong → Hong Kong is a Special Administrative Region of China.

Bangladesh ∶ Taka → Taka is the currency of Bangladesh.

Given Statements:

I. Some walls are broken.

II. All windows are broken.

III. Some walls are not painted.

The least possible Venn diagram for the given statement is:

Conclusions:

I. Some broken are windows - True (All window are broken it means some part of broken will be also window).

II. All windows are painted - False (Because, there is no definite relation given between window and painted, so it can be possible only).

So, Only conclusion I follows.

Hence, the correct answer is "Option 2".

Let's arrange the words in alphabetical order. All words begin with "Activi", so we'll compare the next letters:

1. Activity (t)
2. Activist (s)
3. Activismal (m)
4. Activisticy (s)
5. Activize (z)

After "Activi", the words beginning with "m", "s", "t", and "z" are our differentiators. Alphabetically, "m" comes before "s", "s" comes before "t", and "t" comes before "z". We also have two words starting with "s" - "Activist" and "Activisticy", and in this case, the shorter word comes first.

So, when we arrange these words in alphabetical order, we get:

3. Activismal
4. Activist
5. Activisticy
6. Activity
7. Activize

Therefore, the word that will come in the 'Fourth' position is "Activity".

The logic followed here is:

Step I: Circle is getting shifted and getting doubled from the fourth image.

Step II: Triangle is getting shifted and getting doubled from the third image.

Step III: Rectangle is getting shifted and getting doubled from the second image.

So, 'Option 4' will replace the question mark.

Hence, the correct answer is "Option 4".

BODMAS Table: 

Given equation I. 18 ÷ 3 + 8 × 5 - 4 = 20

Now, if '+ and -' are interchanged, then:

⇒ 18 ÷ 3 - 8 × 5 + 4 = 20

⇒ 6 - 8 × 5 + 4 = 20

⇒ 6 - 40 + 4 = 20

⇒ 10 - 40 = 20

⇒ - 30 ≠ 20

LHS ≠ RHS.

Given equation II: 6 + 8 × 9 ÷ 3 - 4 = 14

Now, if '+ and -' are interchanged, then:

⇒ 6 - 8 × 9 ÷ 3 + 4 = 14

⇒ 6 - 8 × 3 + 4 = 14

⇒ 6 - 24 + 4 = 14

⇒ 10 - 24 = 14

⇒ -14 ≠ 14

LHS ≠ RHS.

Here, Both Equation I and II are the incorrect after interchanging the given symbol.

Hence, the correct answer is "Option 4".

The logic followed here is:

For, 'CEMENT' is written as 'ECOCPR',

For, 'HEIGHT' is written as 'JCKEJR',

Similarly, for 'FATHER'

So, 'FATHER' is coded as 'HYVFGP'.

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: (1st number × 5) + (1st number ÷ 2) = 2nd number.

Now,

For, 58 ∶ 319

⇒ (58 × 5) + (58 ÷ 2)

⇒ 290 + 29 = 319.

For, 32 ∶ 176

⇒ (32 × 5) + (32 ÷ 2)

⇒ 160 + 16 = 176.

Similarly, for 76 ∶ ?

⇒ (76 × 5) + (76 ÷ 2)

⇒ 380 + 38 = 418.

Hence, the correct answer is "Option 4".

According to the given Venn diagram:

<br> <br>

The shaded area shows "the educated and rich but not famous peoples".

So, there are 3 peoples are educated and rich but not famous.

Hence, the correct answer is "3".

The logic followed here is:

Logic: 1st number ÷ 5 = 2nd number.

Now, checking the options:

Option 1) 331235-66247 → 331235 ÷ 5 = 66247.

Option 2) 15265-3053 → 15265 ÷ 5 = 3053.

Option 3) 51265-10253 → 51265 ÷ 5 = 10253.

Option 4) 126215-25247 → 126215 ÷ 5 = 25243 ≠ 25247.

So, '126215-25247' odd among the given options.

Hence, the correct answer is "Option 4".

The image embedded in given figure is as shown below:

Hence, "Option 1" is the correct answer.

The logic followed here is:

RV ∶ TE 

Similarly, for EL ∶ ?

So, 'EL : GO' would be the related letters.

Hence, the correct answer is "Option 2".

The logic followed here is:

Given Sequence: A A_AB_ABC_A_C_E

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

Option 1) BCCBD → A / A B / A B C / A B C C / A B C D E

Option 2) BCDBD → A / A B / A B C / A B C D / A B C D E

Here, 'Option 2' followed a pattern.

Option 3) AABCD → A / A A / A B A / A B C B / A C C D E

Option 4) BABCD → A / A B / A B A / A B C B / A C C D E

Hence, the correct answer is "Option 2".

The image embedded in given figure is as shown below:

 

Hence, "Option 3" is the correct answer.

Family Chart:

Given: 

N is the brother of Y,

Y is the sister of B,

B is the wife of Z.

C is the mother of Y.

So, Z is Son in law of C.

Hence, the correct answer is "Option 1".

The mirror image for the given question is:

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: (1st number)² - 1 = 2nd number,

(1st number + 1)² = 3rd number.

Now,

For, (8, 63, 81)

⇒ 8² - 1 = 64 - 1 = 63.

⇒ (8 + 1)² = 9² = 81.

For, (11, 120, 144)

⇒ 112 - 1 = 121 - 1 = 120.

⇒ (11 + 1)2 = 122 = 144.

Similarly, for (9, 80, 100)

⇒ 92 - 1 = 81 - 1 = 80.

⇒ (9 + 1)2 = 102 = 100.

Hence, the correct answer is "Option 1".

The logic followed here is:

Option 1) HS → H and S is the opposite letters.

Option 2) CX → C and X is the opposite letters.

Option 3) MN → M and N is the opposite letters.

Option 4) JP → J and P is not the opposite letters, J + 6 = P.

Hence, the correct answer is "Option 4".

The logic followed here is:

So, '399' will complete the series.

Hence, the correct answer is "Option 1".

The logic followed here is:

Logic: (1st number)² = 2nd number.

Now, checking the options:

Option 1) 108-11664 → (108)² = 11664.

Option 2) 116-13456 → (116)2 = 13456.

Option 3) 112-12544 → (112)2 = 12544.

Option 4) 104-10886 → (104)2 = 10816 ≠ 10886.

So, '104-10886' is odd among the given options.

Hence, the correct answer is "Option 4".

The image embedded in the given figure is as shown below:

 

Hence, "Option 1" is the correct answer.

The triangles are:

So, there are 11 triangles are in the given figure.

Hence, the correct answer is "11".

The logic followed here is:

Logic: Product : Creator 

 

Option 1) Poem - Poet → A poet is the person who creates a poem. This is a creation-creator relationship.

Option 2) Ornament - Goldsmith → A goldsmith is the person who crafts ornaments. This is also a creation-creator relationship.

Option 3) Clothes - Tailor → A tailor is the person who makes clothes. Again, this is a creation-creator relationship.

Option 4) Carpenter - Furniture → A carpenter is the person who makes furniture, this is a creator-creation relationship.

Here, 'Carpenter - Furniture' is odd among the options.

Hence, the correct answer is "Option 4".

The correct answer is 2015.

Key Points 

• The Planning Commission was charged with the responsibility of making assessments of all resources of the country, augmenting deficient resources, formulating plans for the most effective and balanced utilization of resources, and determining priorities.
• On 1 January 2015, a Cabinet resolution was passed to replace the Planning Commission with the newly formed NITI Aayog.

Additional Information

• NITI-National Institution for Transforming India
• NITI Aayog is a policy think tank of the Government of India which replaced the Planning Commission of India. It was established with the aim of achieving sustainable development goals with cooperative federalism by fostering the involvement of State Governments in economic policies.
• One of the objectives of NITI Aayog is to develop mechanisms to formulate credible plans at the village level and aggregate these progressively at higher levels of government.
• Chairman of NITI Aayog- PM Narendra Modi

The correct answer is Razia Sultana.

Key Points

• Razia Sultana was the first female Muslim ruler of the Indian subcontinent.
• She ruled in Delhi from 1236 to 1240 as the Sultan herself – it was a title never before bestowed on a woman, a position of power never before attained by a woman.
• Before ascending to the throne of Delhi after her father’s death, the reign was briefly handed over to her half-brother Rukn ud-din Firuz.
• But after Firuz’s assassination within 6 months of his ascendency, the nobles agreed to place Razia on the throne.

Additional Information

Slave Dynasty 

• Established by Qutb ud-Din Aibak.
• Dynasty lasted from 1206 to 1290.
• It was the first of the dynasties to rule as the Delhi Sultanate.
• Dynasty ended when Jalal ud din Firuz Khilji overthrew the last Mamluk ruler Muiz ud din Qaiqabad in 1290.
• Dynasty was succeeded by the Khilji (or Khalji) dynasty, the second dynasty of the Delhi Sultanate.

The correct answer is Nelson Mandela.

Key Points

• Nelson Mandela
• His autobiography is Long Walk to Freedom.
• Nelson Mandela, in full Nelson Rolihlahla Mandela, by name Madiba.
• He won the Nobel Prize for Peace in 1993.
• Mandela is also known for being the first black president of South Africa, serving from 1994 to 1999.
• He created the Nelson Mandela Foundation, focusing its work towards c
• Mandela used the country's love for rugby as a way to unite blacks and whites in the racially divided country.
• Nelson Mandela International Day is celebrated on 18 July every year to remember the contributions of Mandela to the culture of peace, human rights, reconciliation and freedom.

Additional Information

• The Nobel Prize in Literature is a Swedish literature prize that is awarded annually, since 1901, to an author from any country who has, in the words of the will of Swedish industrialist Alfred Nobel, "in the field of literature, produced the most outstanding work in an idealistic direction".
• Though individual works are sometimes cited as being particularly noteworthy, the award is based on an author's body of work as a whole.

The correct answer is Fifth.​

 Key Points

• On the basis of nominal GDP, India is the world's fifth-largest economy as of 2022.
• GDP stands for Gross Domestic Product.
• GDP is the total market value of all final goods and services produced during a given time period within a nation's domestic borders.
• GDP is the most referred indicator for highlighting a country's economy, whether its size or its performance, and GDP is used as the benchmark growth indicator.
• The major contribution of GDP in India is of the service sector, followed by the manufacturing sector, and then by the primary sector.

Additional Information

• GDP:
• GDP’s full form is Gross Domestic Product is evaluated regularly to account for changing production structure, relative prices, and better recording of economic activities.
• Gross Domestic Product (GDP) is the total monetary value of final goods and services produced in the economic territories of a country in a given year.
• Non-monetary goods and services (e.g. cooking by housewives) are not included in GDP calculation.
• Economic transactions virtually include everything economic in the country. For e.g., if a stockbroker sells and purchases the same stock worth Rs. 1000 five times in a day, it does not increase the GDP of the country by Rs. 5000.
• Economic transactions may also include buying and selling of bonds, FII inflows, and outflows, etc.
• GDP includes the value of all goods and services produced within a country within a year.

The correct answer is Convex Mirrors.

Key Points Convex mirror:

• The spherical mirror whose reflecting surface is in upside is called a convex mirror.
• It is always from a virtual image of any object.
• It is used as a rear-view mirror in the vehicle
• It is also from a full-size diminished image of the objects placed at far away distances with a wide range of field of; view.
• Due to a wide range of fields of view, we can see the image of the maximum object behind the vehicles.

Additional Information

• The optical instrument which reflects the light falling on it and makes images of anybody is called a mirror.
• A mirror that has a spherical reflecting surface is called a spherical mirror.
• A mirror whose reflecting surface is flat is called a plane mirror.
• A mirror whose reflecting surface is part of a cylindrical surface is called a cylindrical mirror.

The correct answer is 2010.

Key Points

• On 12 August 2009, the first draft of the Direct Tax Code Bill was created.
• In 2010, a Revised Discussion Paper was created.
• In 2010, The Direct Tax Code bill was introduced in Parliament, and a Standing Committee of Finance (SCF) was appointed for a detailed discussion.
• In 2012, the committee submitted its report to Parliament.
• In 2014, a revised version of the Direct Tax Code was created after the committee report.
• The bill lapsed due to the change in government after the general elections.
• In 2017, An expert committee was set up to draft a fresh Direct Tax Code.
• In Aug 2019, the task force report was submitted to the Finance Minister.

Additional Information

The correct answer is Touchpad.

Key Points

• Neeti should use a touchpad as an input device.
• A touchpad works by sensing the user's finger movement and downward pressure, and it is commonly used on laptops and other portable devices.
• With a touchpad**, Neeti can move the cursor on the screen and perform various operations such as clicking, scrolling, and zooming by using different gestures.**
• Touchpads are easy to use and provide a convenient way to interact with a computer without the need for an external mouse or keyboard.

Additional Information

The correct answer is India.

Key Points 

• The 2022 FIFA U-17 Women's World Cup was the 7th edition of the FIFA U-17 Women's World Cup.
• Odisha Chief Minister Naveen Patnaik launched the FIFA U-17 Women's World Cup India 2022 Host City logo.
• The FIFA U-17 Women's World Cup India 2022 was held from October 11 to October 30 in Odisha, Goa, and Maharashtra.
• This was the first FIFA women's competition to be held in India and the first FIFA competition to be organized by the state of Odisha.
• The launch of the official Host City logo of Odisha was an important milestone that also reflects the progress of women's football.
• The official host city logo of Odisha is a composite that represents the official emblem of the FIFA U-17 Women's World Cup India 2022 with a specially designed artwork that highlights the rich cultural heritage, vibrant sports ecosystem, and overall splendour of the state.

Additional Information 

• 2022 FIFA U-17 Women's World Cup
• Since its inception, the biennial international women's youth football championship has been contested by the under-17 national teams of FIFA's member associations. 2008.
• The tournament will be hosted by India, which would have hosted the 2020 edition before it was cancelled due to the COVID-19 pandemic.
• This is the second time that India hosts a FIFA tournament after the men's 2017 FIFA U-17 World Cup.
• This is the first time India hosts a FIFA women's football tournament.
• Morocco and Tanzania also made their debuts along with hosts India.

The correct answer is Operating systems.

Key Points

• Operating systems is not an application software.
• It is system software that manages computer hardware and software resources and provides common services for computer programs.
• Application software refers to programs that are designed to perform specific tasks for the user, such as creating documents, editing photos, or managing data.

Additional Information

The correct answer is Cosmos.

• The word "Universe" refers to the entirety of all matter and energy, including all celestial bodies and forms of energy in space.
• Astronomy and cosmology are fields of study focused on understanding the nature, properties, and origins of the universe.
• The term "cosmos" is often used as a synonym for the universe and is derived from the Greek word "kosmos," which means "order" or "harmony."
• The ancient Greeks believed the universe was a perfectly ordered and harmonious system.
• Today, "cosmos" is often used in a more poetic or philosophical context than "universe" to refer to the larger philosophical questions inspired by our observations of the universe.
• The term "cosmos" emphasizes the idea of order and harmony in the universe and is often used to describe the beauty and mystery of the universe.
• Big Crunch:
• A theoretical scenario in which the expansion of the universe eventually reverses and all matter collapses back into a hot, dense singularity.
• Astronomy:
• ​The scientific study of celestial objects and phenomena in the universe, including stars, planets, galaxies, and black holes, as well as the properties, physics, and evolution of these objects.
• Supernova:
• ​A powerful and luminous explosion that occurs when a massive star reaches the end of its life and expels most of its mass in a massive burst of energy and radiation.

The correct answer is Defence.

Key Points 

• Pay Roll Automation for Disbursement of Monthly Allowances (PADMA), an automated Pay & Allowances module for the Indian Coast Guard was inaugurated by Shri Rajnish Kumar, Controller General of Defence Accounts (CGDA), Ministry of Defence.
• PADMA is an automated platform leveraging latest technology which will provide seamless and timely disbursal of Pay & Allowances to around 15,000 Indian Coast Guard personnel.
• This module has been developed under the aegis of Defense Accounts Department and will be operated by Pay Accounts Office Coast Guard, Noida.
• The launch marked the beginning of the Centralized Pay System (CPS), the foundation of which is being laid down by the Defence Accounts Department Headquarters to provide one stop pay accounting solutions for all organizations under the Ministry.
• The CGDA emphasized that the Government has campaigned for Digital India to ensure dedicated services and reduce manual intervention at every level & to promote E-Governance in a big way.
• Launch of PADMA will strengthen the Digital India concept.
• Also, it is an ‘Atmanirbhar Bharat’ initiative as the entire module has been designed and developed by Indian entrepreneurs assisted by domain experts.

Additional Information 

• About Ministry of Defence:
• The Ministry of Defence (MoD) is a central government ministry of the Government of India responsible for managing the country's armed forces.
• Its primary objective is to ensure India's territorial integrity, security, and sovereignty.
• The ministry is responsible for formulating defence policies and plans, procuring and maintaining equipment and ammunition for the armed forces, and coordinating with other departments to ensure national security.
• The Defence Minister is the head of the Ministry of Defence and is responsible for overall policy direction and decision-making.
• The ministry is also responsible for managing the Defence Research and Development Organization (DRDO), Ordnance Factories Board (OFB), and other defence-related institutions.
• Rajnath Singh is the current (2023) Defence Minister of India.

The correct answer is Will Smith.

Key Points

• The winners of the 94th Academy Awards or Oscar awards were announced on 28 March 2022.
• Will Smith was declared the best actor for 'King Richard.
• While Jessica Chastain won the best actress Oscar for “The Eyes of Tammy Faye."
• Jane Campion became just the third woman in the 94-year history of the Oscars to win the best director, for her “Power of the Dog.

Important Points

• Oscar Award:
• It was instituted in 1929 and is conferred annually by the Academy of Motion Pictures in the United States.
• Mahboob Khan’s Mother India was the first Indian film to be nominated in the best foreign film category in 1958.
• The first Indian to share the Oscar was Bhanu Athaiya for the film ‘Gandhi’.
• Satyajeet Ray was the first Indian who was awarded Oscar for lifetime achievement in cinema in 1992.
• The 2022 Oscar awards were the 94th edition.
• It was held at Dolby Theatre at Ovation Hollywood.

The correct answer is 1961.

Key Points

• The Dowry Prohibition Act was passed in India in 1961.
• The Act prohibits the giving or taking of dowry in India and provides penalties for offenders.
• The Act was enacted to curb the practice of dowry, which is a social evil in India that has resulted in the exploitation and harassment of women.
• The Act is enforced by the Indian police and legal system.
• The Act has been amended over the years to strengthen its provisions and increase the penalties for offenders.

Additional Information

The correct answer Singapore.

Key Points

• Indian shuttler PV Sindhu clinched her maiden Women's Single title of the Singapore Open Badminton tournament on 17 July 2022.
• She defe in the final of the Singapore Open.
• Sindhu has won three titles in 2022 - the Swiss Open, Syed Modi India International, and now the Singapore Open.

Additional Information

• The Singapore Open tournament:
• The Singapore Open is an annual badminton tournament held in Singapore.
• It is part of the BWF World Tour and is a Super 500 level event, which makes it one of the most prestigious badminton tournaments in the world.
• The tournament features events for men's and women's singles, doubles, and mixed doubles, and attracts top players from around the world.
• The Singapore Open has been held since 1987 and is organized by the Badminton Association of Singapore.
• The tournament offers significant prize money and world ranking points, making it an important event for professional badminton players.
• The Singapore Open is typically held in April each year and has been won by many of the greatest badminton players in history.

The correct answer is Pooja Patel.

Key Points

• At the 36th National Games, Pooja Patel of Gujarat has become the first athlete to win gold in Yogasana.
• Pooja won the gold medal in the traditional Yogasana category.
• Yogasana is one of the five sports to be played at the National Games in 2022 for the first time.
• This Indian indigenous sport made its debut at the Khelo India University Games in early 2022.

Additional Information 

• ​The 36th edition of the National Games is being held at six cities in Gujarat.
• PM Modi had inaugurated the 36th National Games in the Narendra Modi stadium in Ahmedabad, Gujarat on 29 Sept 2022.
• The mascot of the games is named as 'Savaj' which means cub in Gujarati.
• While the theme of the anthem of the national games is 'Ek Bharat Shreshtha Bharat.'

The correct answer is Mangrove Forests

Key PointsMangrove Forests

• Found in the areas of coasts influenced by tides. Mud and silt get accumulated on such coasts.
• Dense mangroves are the common varieties with roots of the plants submerged underwater.
• The deltas of the Ganga, the Mahanadi, the Krishana, the Godavari, and the Kaveri are covered by such vegetation.
• In the Ganga Brahmaputra delta, Sundari trees are found, which provide durable hard timber.
• Palm, coconut, keora, agar, also grow in some parts of the delta.
• Royal Bengal Tiger is the famous animal in these forests. Turtles, crocodiles, gharials, and snakes are also found in these forests.

Additional InformationTropical Evergreen Forests:

• These forests are restricted to heavy rainfall areas of the Western Ghats and the island groups of Lakshadweep, Andaman, and Nicobar, upper parts of Assam, and Tamil Nadu coast.
• They are at their best in areas having more than 200 cm of rainfall with a short dry season.
• The trees reach great heights up to 60 meters or even above.
• Since the region is warm and wet throughout the year, it has luxuriant vegetation of all kinds.
• The trees, shrubs, and creepers give it a multilayered structure.
• There is no definite time for trees to shed their leaves.
• As such, these forests appear green all the year-round

Tropical Deciduous Forests

• ​These are the most widespread forests of India.
• They are also called the monsoon forests and spread over the region receiving rainfall between 200 cm and 70 cm.
• Trees of this forest type shed their leaves for about six to eight weeks in dry summer.
• On the basis of the availability of water, these forests are further divided into moist and dry deciduous.

Natural vegetation refers to a plant community, which has grown naturally without human aid and has been left undisturbed by humans for a long time. The following major types of vegetation may be identified in our country

1. Tropical Evergreen Forests
2. Tropical Deciduous Forests
3. Tropical Thorn Forests and Scrubs
4. Montane Forests
5. Mangrove Forests

Correct Answer R Venkataramani

Key Points

• R Venkataramani is the incumbent Attorney-General for India. He succeeded to the office as the 16th Attorney-General on 1 October 2022. His predecessor was K. K. Venugopal.
• Mukul Rohatgi ​
• Mukul Rohatgi is an Indian lawyer and designated senior advocate.
• He was the 14th Attorney General of India.
• He had a three-year term as Attorney General from 19 June 2014 to 18 June 2017.
• He is a senior advocate in the Supreme Court of India.
• He has also previously served as the Additional Solicitor General of India.
• KK Venugopal
• KK Venugopal is an Indian constitutional lawyer and a senior advocate in the Supreme Court of India.
• On 1 July 2017, he was appointed as the Attorney General of India.

Additional Information 

• Attorney General Constitutional Provisions
• According to Article 76 of the Indian Constitution, the Attorney General (AG) of India is the highest law officer of India.
• As the Chief Legal Adviser to the Government of India, the Attorney General acts to advise the Central Government on all legal matters.
• Apart from this, the Attorney General of India also represents the Central Government in the Supreme Court.

The correct answer is Dal

**Key Points:**Dal is a lake in Srinagar.

• It is an urban lake, which is the second largest in the union territory of Jammu and Kashmir.
• It is integral to tourism and recreation in Kashmir and is named the "Lake of Flowers", "Jewel in the crown of Kashmir" or "Srinagar's Jewel".

Additional Information

• Pangong Tso Lake, also popularly known as Pangong Lake is situated 160kms from Leh.
• It is based at an altitude of around 4350m above sea level in the eastern part of Leh on the Changtang plateau.
• Wular Lake is one of the largest freshwater lakes in Asia.
• It is sited in the Bandipora district in Jammu and Kashmir, India.
• The lake basin was formed as a result of tectonic activity and is fed by the Jhelum River.

Vembanad:

• Vembanad (Vembanad Kayal or Vembanad Kol) is the longest lake in India and the largest lake in the state of Kerala.
• With an area of 2033 square kilometres, it is the second-largest Ramsar site in India only after the Sunderbans in West Bengal.
• Spanning several districts in Kerala, it is known as Vembanadu Lake in Kottayam, Punnamada Lake in Alappuzha and Kochi Lake in Kochi.

Correct Answer 2400

Key Points:

• Somewhat before the time of the Mauryan empire, about 2400 years ago, emperors in China began building the Great Wall.
• It was meant to protect the northern frontier of the empire from pastoral people.
• Additions to the wall were made over a period of 2000 years because the frontiers of the empire kept shifting.
• The wall is about 21,196 km long and is made of stone and brick, with a road along the top.
• Several thousand people worked to build the wall.
• There are watch towers all along, at distances of about 100-200 m.

Additional Information Mauryan Empire

• The Maurya dynasty (321–185 BC) was a powerful dynasty in ancient India.
• The Maurya dynasty ruled India for 137 years.
• The credit for its establishment is given to Chandragupta Maurya and his minister Chanakya (Kautilya).
• This empire started from the plains of the Ganges river (today's Bihar and Bengal) in the state of Magadha in the east.
• Its capital was Pataliputra (near present-day Patna city).
• Chandragupta Maurya established this empire in 321 BC and rapidly expanded his empire towards the west.
• The Mauryan Empire grew and thrived during the Iron Age.
• He took advantage of the differences between several small regional kingdoms that had arisen after Alexander's invasion.
• By 316 BC, the Maurya dynasty had occupied the whole of North Western India.
• The Maurya dynasty expanded on a large scale in the reign of the Chakravarti emperor Ashoka.
• Due to Emperor Ashoka, the Maurya Empire became the greatest and most powerful and became famous all over the world.

Correct Answer Hindustani vocal music

Key Points

• Shri Mani Prasad was a renowned Hindustani classical vocalist.
• He was a disciple of the legendary musician Ustad Bade Ghulam Ali Khan.
• He is known for his expertise in the Patiala Gharana style of Hindustani classical music.
• Mani Prasad was a distinguished performer and teacher of music and has left a lasting impact on the Hindustani classical music tradition

The correct answer is ​Parasnath

• Parasnath Hill is the highest peak in Jharkhand state.

Key Points:

• It is named after Lord Parshvanatha, the 23rd Tirthankara of the Jain religion.
• It is located in the Giridih district of Jharkhand.
• The height of Parasnath Hill is about 1365 m.
• For Jain people, it is the most important pilgrimage center.
• Jain calls the hill "Sammed Sikhar".
• Parasnath was the 23rd Tirthankara and the hill was named after him.
• Some believe that the 9th Tirthankaras achieved salvation on this hill.
• There is a shrine on the hill for each Tirthankara.

Additional Information Anamudi is the highest peak of the Anaimalai hills.

• Anaimalai hills are situated in the north of Anamudi.
• Anamudi is located in Kerala.
• Anamudi is also known as the Everest of South India.
• The elevation of Anamudi hill is 2,695 meters.
• The name Anamudi means "elephant's head".
• General Douglas Hamilton made the first recorded ascent of Anamudi.
• Anamudi is the meeting point of Anamalai, Palanimalai, and ealaimalai.

Girnar hills:-

• It is a group of mountains situated in the Junagadh district of Gujarat.
• It is a sacred pilgrimage site of both Hindus and Jains and is considered to be older than even the Himalayas.
• The highest point in Gujarat, Mt. Girnar has for centuries been one of the most important pilgrimage sites in the state and in all of Western India, with 866 Hindu and Jain temples spread over the 5 summits.

Correct Answer Rohtang Pass

Rohtang Pass

• It is a high mountain pass on the eastern end of the Pir Panjal Range of the Himalayas around 51 km from Manali.
• It connects the Kullu Valley with the Lahaul and Spiti Valleys of Himachal Pradesh.
• It links Manali and Leh by road.
• The pass lies on the watershed between the Chenab and Beas basins.
• It as polar climate köppen (ET).

Other important passes:

Correct Answer A. P. J. Abdul Kalam.

Key Points Integrated Guided Missile Development Programme

• IGMDP was the brainchild of renowned scientist Dr APJ Abdul Kalam.
• It was intended to attain self-sufficiency in the field of missile technology.
• After keeping in mind the requirements of various types of missiles by the defense forces, the program recognized the need to develop five missile systems.
• The IGMDP formally got the approval of the Indian government on 26th July 1983.
• The missiles developed under IGMDP are:
• Short-range surface-to-surface ballistic missile – Prithvi
• Intermediate-range surface-to-surface ballistic missile – Agni
• Short-range low-level surface-to-air missile – Trishul
• Medium-range surface-to-air missile – Akash
• Third-generation anti-tank missile – Nag

Additional Information Vikram Sarabhai:

• Dr. Vikram Sarabhai was born on August 12, 1919, in Ahmadabad.
• Dr. Vikram Sarabhai was considered the Father of the Indian space program.
• He was a great institution builder and established a large number of institutes in diverse fields.
• He was instrumental in establishing the Physical Research Laboratory (PRL) in Ahmedabad in November 1947.
• He was also Chairman of the Atomic Energy Commission.
• Dr. Sarabhai's dialogue with NASA in 1966, the Satelite Instructional Television Experiment (SITE) was launched during July 1975-July 1976.
• Dr. Sarabhai started a project for the fabrication and launch of an Indian Satellite.
• As a result, the first Indian satellite, Aryabhata, was put in orbit in 1975 from a Russian Cosmodrome.
• He founded a Community Science Centre at Ahmedabad in 1966.
• Today, the Centre is called the Vikram A Sarabhai Community Science Centre.

Homi J. Bhabha:

• Homi J. Bhabha was an Indian nuclear physicist, founding director, and professor of physics at the Tata Institute of Fundamental Research. Colloquially known as the father of the Indian nuclear program.
• Homi J. Bhabha was the Chairman of the Atomic Energy Commission that was set-up in August 1948.
• Dr. Homi Bhabha established the Atomic Energy Establishment, Trombay (AEET) in January 1954.
• In 1966, Atomic Energy Establishment, Trombay was renamed; Bhabha Atomic Research Centre (BARC).
• Dr. Bhabha was one of the founding directors of the Tata Institute of Fundamental Research.
• He was awarded the Admas Prize.

Correct Answer Aedes

Key Points

• Chikungunya
• Chikungunya is a viral disease that is primarily transmitted to humans through the bite of infected mosquitoes. Here are some key points to understand about Chikungunya:
• Cause:
• Chikungunya is caused by the Chikungunya virus, which belongs to the alphavirus genus of the family Togaviridae. The primary vectors for Chikungunya are the Aedes species of mosquitoes, particularly Aedes aegypti and Aedes albopictus, which are also responsible for transmitting diseases such as dengue and Zika.
• Transmission:
• ​The Chikungunya virus is typically transmitted from human to human through the bite of an infected female mosquito. The mosquitoes typically bite during the day, with peak hours around dawn and dusk. Unlike some other mosquito-borne diseases, Chikungunya does not have an animal reservoir and primarily circulates among humans.
• Symptoms:
• ​After an incubation period of 2 to 12 days, people infected with Chikungunya typically develop symptoms abruptly.

Additional Information

Culex:

• Culex mosquitoes are most commonly associated with the transmission of West Nile virus, Japanese encephalitis, and St. Louis encephalitis.
• They typically breed in stagnant water and are often found in urban and suburban areas. Culex mosquitoes are generally most active during dusk and dawn.
• Carrier: Aedes mosquitoes (primarily Aedes aegypti and Aedes albopictus)

Mansonia:

• Mansonia mosquitoes are less well-known but can transmit diseases such as lymphatic filariasis.
• These mosquitoes breed in weedy swamps and marshes. They are unique in that their larvae and pupae attach to aquatic plants to obtain oxygen, rather than coming to the water’s surface.

Anopheles:

• Anopheles mosquitoes are best known for spreading malaria. They can also transmit other diseases such as lymphatic filariasis and some forms of encephalitis.
• Anopheles mosquitoes breed in clean, unpolluted water and are active primarily at night. They are distinguished by their characteristic resting posture, where their bodies are lifted at an angle to the surface.
• Carrier: Anopheles mosquitoes (primarily Anopheles gambiae, Anopheles funestus, among others)

The correct answer is Pune

Key Points:

• The Aga Khan Palace was built by Sultan Muhammed Shah Aga Khan III in the city of Pune, Maharashtra in 1892.
• The palace was an act of charity by the spiritual leader of the Nizari Ismaili Muslims, who wanted to help the poor in the neighboring areas of Pune, who were drastically hit by famine.

Additional Information:

• Sir Sultan Mahomed Shah, Aga Khan III was the 48th Imam of the Nizari Ismaili sect of Islam.
• He played a very important role in giving the Muslims a political stance to express their opinions to the British.
• In 1906, the Aga Khan was a founding member and first president of the All India Muslim League.

Given:

A can complete the work in 20 days

B can complete the work in 30 days

We need to determine whether the following statements are correct or not:

I. Ratio of efficiency of A and B is 3 ∶ 2.

II. Working together A and B can complete the same work in 12 days.

Formula used:

If A can complete a work in x days, then the work done by A in one day = 1/x.

If A can do the work in x days, then B can do the same work in y days, then the ratio of work done by A and B in one day = 1/x : 1/y = y/x.

If A and B work together, their work done in one day = (1/x + 1/y).

If A and B can complete a work together in d days, then their work done in one day = 1/d.

Solution:

Let the total work be W.

A can complete the work in 20 days, so his daily efficiency is 1/20 of the work.

B can complete the work in 30 days, so his daily efficiency is 1/30 of the work.

I. Ratio of efficiency of A and B is (1/20) : (1/30) = 3 : 2. Therefore, statement I is correct.

II. Let the number of days it takes A and B to complete the work together be d.

Then, the work done by A in one day = 1/20, and the work done by B in one day = 1/30.

Their work done in one day working together = (1/20) + (1/30) = 1/12.

Therefore, A and B can complete the work together in 12 days. So, statement II is correct.

Hence, both statement I and statement II are correct.

∴ Option 2 is the correct answer.

Calculation:

The sum of cars and trains manufactured in 2017 and 2018 = 1600 + 2600 + 1800 + 2000 = 8000

Total number of buses manufactured in 2016, 2017 and 2018 together = 2000 + 1600 + 3000 = 6600

Ratio = 8000 : 6600

⇒ 40 : 33

∴ Option 4 is the correct answer.

Given:

Length of rectangular sheet = Breadth + 24 cm

Perimeter of rectangular sheet = 128 cm

Formula used:

Perimeter of a rectangle = 2(length + breadth)

Solution:

Let the breadth of the rectangular sheet be x cm.

Then, the length of the rectangular sheet = x + 24 cm (as given in the question)

Perimeter of the rectangular sheet = 2(length + breadth)

128 = 2(x + x + 24)

128 = 4x + 48

4x = 80

x = 20

Therefore, the breadth of the rectangular sheet is 20 cm.

Length of the rectangular sheet = breadth + 24 = 20 + 24 = 44 cm.

Hence, the length of the rectangular sheet is 44 cm.

∴ Option 2 is the correct answer.

Given:

Principal amount (P) = Rs. 6000

Rate of interest (R) = 10% per annum

Time period (t) = 2 years

Formula used:

I. Simple Interest (S.I.) = (P * R * t) / 100

II. Compound Interest (C.I.) = P * [1 + (R/100)]^t - P

where, P is the principal amount, R is the rate of interest, t is the time period.

For annual compounding, t = number of years.

Solution:

I. Simple Interest = (P * R * t) / 100

= (6000 * 10 * 2) / 100

= Rs. 1200

Therefore, statement I is correct.

II. Compound Interest = P * [1 + (R/100)]^t - P

= 6000 * [(1 + (10/100))^2 - 1]

= 6000 * [(1.1)^2 - 1]

= 6000 * [1.21 - 1]

= 6000 * 0.21

= Rs. 1260

Therefore, statement II is also correct.

Hence, both statement I and statement II are correct.

∴ Option 2 is the correct answer.

Given:

tan θ + cot θ = 2

Calculation:

⇒ (sin θ/cos θ) + (cos θ/sin θ) = 2

⇒ (sin2 θ + cos2 θ)/sin θcos θ = 2      (∵ sin2 θ + cos2 θ = 1)

⇒ 2sin θcos θ = 1

⇒ sin 2θ = 1      (∵ sin 2A = 2sinAcosA)

⇒ 2θ = 90o      (∵ sin 90o = 1)

⇒ θ = 45o

tan θ - cot θ = tan 45o - cot 45o = (1) - (1) = 0

∴ tan θ - cot θ = 0

Given:

a - b = 5 and ab = 150

Concept used:

a3 - b3 = (a - b)3 + 3ab(a - b)

Calculation:

a3 - b3 = (a - b)3 + 3ab(a - b)

Putting these equations in the above identity

⇒  a3 - b3  = (5)³ + 3 × 150(5)

⇒  a3 - b3  = 125 + 2250

⇒ a3 - b3= 2375

∴ a3 - b3 = 2375

Calculation:

Profit percent earned by the company during the years 2016 to 2020 = 45 + 70 + 60 + 40 + 55 = 270

Average profit percent earned by the company during the years 2016 to 2020 = 270/5

⇒ 54%

∴ Option 4 is the correct answer.

Shortcut Trick

Radius (r) = [Total Distance] ÷ [2 × π × Revolutions]

Distance = 44 km = 44,000 m.

r = 44,000 ÷ (2 × 22/7 × 500)

r = (44,000 × 7) ÷ (44 × 500)

r = 1,000 × 7 ÷ 500 = 14 m.

∴ The correct answer is 14 m.

Alternate Method

Given: Total Distance = 44 km, Number of Revolutions = 500.

Formula: Distance = Number of Revolutions × Circumference (2πr)

⇒ Total Distance = 44 × 1000 = 44,000 m

⇒ Distance covered in 1 revolution = 44,000 ÷ 500

⇒ Circumference (2πr) = 88 m

⇒ 2 × (22/7) × r = 88

⇒ (44/7) × r = 88

⇒ r = (88 × 7) ÷ 44

⇒ r = 2 × 7 = 14 m

∴ The correct answer is 14 m.

Additional Information

Circumference of a Circle

The distance around the edge of a circle is calculated as C = 2πr or C = πd, where r is the radius and d is the diameter.

Distance and Revolutions

For any rolling wheel, the Total Distance covered is always equal to the Number of Revolutions × Circumference.

Unit Conversion

Always ensure units are consistent; 1 kilometer (km) = 1000 meters (m) and 1 meter (m) = 100 centimeters (cm).

Given:

The distance of chord MN from the center is 15 cm

The length of chord MN is 40 cm

Concept:

Chord length using perpendicular distance from the centre = 2 × √ (r2 – d2) [∵ r = radius, d = perpendicular distance]

Calculation:

Length of Chord = 2 × √ (r2 – d²)

40 =  2 × √ (r² – 15²) = 25 cm

∴ Option 4 is the correct answer.

We know that

 cosec 90° = 1

cos 60° = 1/2

Calculation:

cosec 90°/(1 - cos2 60°)

⇒ 1/ 1 - (1/2)²

⇒ 1/(3/4)

⇒ 4/3

∴ Option 2 is the correct answer.

Concept used:

Follow the BODMAS rule to solve this question, as per the order given below,

Calculation:

 1200 ÷ 15 × [45 ÷ (17 - 2)] of 2 + [-2 (1 + 2)]

 1200 ÷ 15 × [45 ÷ 15] of 2 + [- 6]

⇒ 1200 ÷ 15 × [(3)] of 2 - 6

⇒  1200 ÷ 15 × 6 - 6

⇒  80 × 6 - 6

⇒ 480 - 6 = 474

∴ Option 4 is the correct answer.

Calculation:

I. The number of male teachers in school L is 135.44 percent of the number of female teachers in school P.

Number of male teachers in school L = 160

Number of female teachers in school P = 110

(160/110) x 100% ≈ 145.45%

Therefore, the statement I is incorrect. The correct percentage is 145.45% and not 135.44%.

II. The ratio of the number of female teachers in M and N together to the number of male teachers in N and P together is 29 ∶ 32.

Number of female teachers in schools M and N together = 170 + 120 = 290

Number of male teachers in schools N and P together = 170 + 150 = 320

The ratio of the number of female teachers in M and N together to the number of male teachers in N and P together = 290 ∶ 320

We can simplify this ratio by dividing both numbers by 10.

29 ∶ 32

Therefore, statement II is correct.

Given:

Party A got 30% of the total votes

Party B got 25% of the total votes

Party C got the remaining votes and got 9000 more votes than Party A

Formula:

The percentage of votes received by a party can be converted to the actual number of votes by multiplying the percentage by the total number of votes.

Solution:

Let's assume that the total number of votes in the Lok Sabha election is 'x'.

Then,

The number of votes received by Party A is 0.3x.

The number of votes received by Party B is 0.25x.

The number of votes received by Party C is = x - 0.3x - 0.25x = 0.45x.

The number of votes received by Party C is 9000 more than the number of votes received by Party A, so:

0.45x = 0.3x + 9000

Simplifying this equation:

0.15x = 9000

x = 60000

Therefore, the total number of votes in the Lok Sabha election is 60000.

The number of votes received by Party B is:

0.25x = 0.25(60000) = 15000

Therefore, Party B got 15000 votes.

Given:

sin x = $\frac{1}{2}$

Formula used:

(1.) sec2θ - tan2θ = 1

(2.) cosec2θ - cot2θ = 1

(3.) sin(30∘) = $\frac{1}{2}$

Calculation:

According to the question,

Since sin(30∘) = $\frac{1}{2}$,

Therefore, x = 30∘

Again according to the question,

⇒ ? = (sec4x + cosec4x) - (tan4x + cot4x)

⇒ ? = sec4x + cosec4x - tan4x - cot4x

⇒ ? = sec4x - tan4x + cosec4x - cot4x

⇒ ? = (sec2x - tan2x)(sec2x + tan2x) + (cosec2x - cot2x)(cosec2x + cot2x)

⇒ ? = (1)(sec2x + tan2x) + (1)(cosec2x + cot2x)

⇒ ? = (sec2x + tan2x) + (cosec2x + cot2x)

⇒ ? = (sec230∘ + tan230∘) + (cosec230∘ + cot230∘)

⇒ ? = ($\frac{2}{√ 3}$)2 + ($\frac{1}{√ 3}$)2 + (2)2 + (√3)2

⇒ ? = $\frac{4}{3}$ + $\frac{1}{ 3}$ + 4 + 3

⇒ ? = $\frac{4 + 1 + 12 + 9}{3} = \frac{26}{3}$

Therefore, '$\frac{26}{3}$' is the required answer.

Additional Information 

(1.) If secθ + tanθ = a, then secθ - tanθ = $\frac{1}{a}$

(2.) If cosecθ + cotθ = a, then cosecθ - cotθ = $\frac{1}{a}$

Shortcut Trick

Use the Prime Number count mnemonic for 1−100: 44−22−3−22−3−2−1.

The numbers from 21 to 50 fall into the 3^rd, 4^th, and 5^th intervals.

21−30 (3^rd interval) = 2 prime numbers (23, 29).

31−40 (4^th interval) = 2 prime numbers (31, 37).

41−50 (5^th interval) = 3 prime numbers (41, 43, 47).

Total = 2 + 2 + 3 = 7.

∴ The correct answer is 7.

Alternate Method

Given Range: 20 to 50

A prime number has only two factors: 1 and itself. Check odd numbers between 20 and 50:

⇒ Numbers to check: 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49.

⇒ Multiples of 3: 21, 27, 33, 39, 45 (Not prime).

⇒ Multiples of 5: 25, 35 (Not prime).

⇒ Multiples of 7: 49 (Not prime).

⇒ Remaining Prime Numbers: 23, 29, 31, 37, 41, 43, 47.

⇒ Count = 7.

∴ The correct answer is 7.

Additional Information

Prime Numbers from 1 to 100

There are exactly 25 prime numbers between 1 and 100. The only even prime number is 2.

Composite Numbers

A natural number greater than 1 that is not prime is called a composite number. 1 is neither prime nor composite.

Twin Primes

Pairs of prime numbers that have a difference of 2 (e.g., 29 and 31, or 41 and 43) are called Twin Primes.

Calculation:

We have:

2p + 5q = 12 ........(1)

pq = 3 ........(2)

Squaring equation (1), we get:

$4p^2 + 20pq + 25q^2 = 144$

Substituting the value of pq from equation (2), we get:

$4p^2 + 20(3) + 25q^2 = 144$

Simplifying this equation:

$4p^2 + 25q^2 = 84$

Therefore, the value of $4p^2 + 25q^2$ is 84.

Shortcut Trick

For any triangle with two given sides a and b (where a < b), the number of possible integral values for the third side is given by the formula:

Number of values = (2 × smaller side) − 1

Given sides: 6 cm and 11 cm.

⇒ Smaller side = 6 cm

⇒ Number of integral values = (2 × 6) − 1 = 12 − 1 = 11

∴ The correct answer is 11.

Alternate Method

Given:

Side AB = 6 cm

Side BC = 11 cm

Let the third side AC be x cm.

Formula Used:

According to the Triangle Inequality Theorem, for any triangle with sides a, b, and c:

|a − b| < c < a + b

Calculations:

Applying the inequality to the given sides:

⇒ |11 − 6| < x < 11 + 6

⇒ 5 < x < 17

Since x must be an integral value (integer), the possible values for x are:

⇒ x ∈ {6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}

Counting the total number of integers in this range:

⇒ Count = 16 − 6 + 1 = 11

∴ The correct answer is 11.

Additional Information

Triangle Inequality Theorem

The theorem states that the sum of the lengths of any two sides of a triangle must be strictly greater than the length of the third side. Conversely, the difference between any two sides must be strictly less than the third side.

Types of Triangles by Sides

If the third side x satisfies x² < a² + b², the triangle is acute. If x² = a² + b², it is a right triangle. If x² > a² + b², it is obtuse.

Range of the Third Side

For given sides a and b, the third side c always lies in the open interval (b − a, b + a). The total number of integers in this range is (2 × smaller side) − 1.

Calculation:

Total cost price of articles D, E, and F = 700 + 600 + 400 = 1700

Total cost price of articles G, H, and I = 500 + 300 + 800 = 1600

Total profit of articles D, E, and F = 200 + 150 + 300 = 650

Total profit of articles G, H, and I = 400 + 250 + 350 = 1000

Statement I: The profit of D, E and F is 30.63 percent of the cost price of G, H and I.

Profit of D, E and F = 200 + 150 + 300 = 650

Cost price of G, H, and I = 500 + 300 + 800 = 1600

The percentage is (650/1600) × 100 = 40.625%

So, this statement is incorrect.

Statement II: The ratio of total cost price to the total profit is 1 ∶ 2.

Total cost price = 1700 + 1600 = 3300

Total profit = 650 + 1000 = 1650

The ratio of total cost price to the total profit is 3300 : 1650 = 2 : 1

So, this statement is also incorrect.

Therefore, both statements are incorrect.

Given:

The ratio of present ages of father, mother, and son = 8:5:2

Present age of father = 48 years

Formula used:

Average age = Total age/Number of members

Calculation:

We can find the present ages of the mother and son by using the ratio:

Mother's age = (5/8) ×  Father's age = (5/8) * 48 = 30 years

Son's age = (2/8) × Father's age = (1/4) × 48 = 12 years

After 3 years, their ages will be:

Father's age = 48 + 3 = 51 years

Mother's age = 30 + 3 = 33 years

Son's age = 12 + 3 = 15 years

The total age of the family after 3 years will be:

Total age = 51 + 33 + 15 = 99

The average age of the family after 3 years will be:

Average age = Total age/Number of members

Average age = 99/3 = 33

Therefore, the average age of the family after 3 years will be 33 years.

Given:

Two successive discounts of 12% and 10%.

Formula Used:

Equivalent discount = 100% - [(100% - discount1) × (100% - discount2)]/100%

where discount1 and discount2 are the two successive discounts given.

Solution:

Substituting discount1 = 12% and discount2 = 10% in the formula, we get:

Equivalent discount = 100% - [(100% - 12%) × (100% - 10%)]/100%

= 100% - [(88%) × (90%)]/100%

= 100% - 79.2%         

= 20.8%

Therefore, the equivalent single discount of two successive discounts of 12% and 10% is 20.8%.

Given:

Janki purchased 10 dozen corn at the rate of Rs. 180 per dozen.

She sold each corn at the rate of Rs. 22.

Formula:

Cost Price (CP) = Cost of 1 dozen of corn = Rs. 180

Selling Price (SP) = Rs. 22

Profit = SP - CP

Profit Percentage = (Profit /CP) × 100

Calculation:

To solve this problem, we need to find the total cost of 10 dozen of corn, the total selling price of all the corn, and then calculate the profit percentage.

Total Cost Price = 10 × CP = 10 × 180 = Rs. 1800

Total Selling Price = Number of corn sold × SP = 120 × 22 = Rs. 2640

Profit = Selling Price - Cost Price = 2640 - 1800 = Rs. 840

Profit Percentage = (Profit/CP) × 100 = (840/1800) × 100 = 46.67%

Therefore, Janki's percent profit is 46.67%.

Given:- 

<br>

 x² + 4y² + z² - 4xy + 4yz - 2xz 

<br>

Formula used :-

<br>

(a + b +c )² = a² + b²+ c² + 2ab + 2bc + 2ca  

<br>

Calculation:-  

<br>

⇒ x2 + 4y2 + z2 - 4xy + 4yz - 2xz   

 

⇒ x2 + (2y)² + z2 - 2.(x).(2y) + 2.(z).(2y) - 2.(x).(z)  

<br>

⇒  (-x)² + (2y)² + z2 + 2.(-x).(2y) + 2.(z).(2y) + 2.(-x).(z) 

<br>

Comparing (a + b +c )2 = a2 + b2+ c2 + 2ab + 2bc + 2ca   

<br>

We get  

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⇒  (-x)2 + (2y)2  + z2 + 2.(-x).(2y) + 2.(z).(2y) + 2.(-x).(z)  

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⇒ (2y - x + z)² 

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∴  The required  answer is  (2y - x + z)2

Given:

A square with a side of length 18 cm.

Formula:

The area of a circle = πr², where r is the radius of the circle.

Calculation:

To find the area of the biggest circle that could be drawn in a square of side 18 cm, The side of the square will be equal to the diameter of the circle.

The length of side = 18

The radius of the circle = diameter/2 = (18/2) = 9

The area of the circle = π × r² = π × (9)² = 81π

Therefore, the area of the biggest circle that could be drawn in a square of side 18 cm is 81π.

Given:

The average salary per employee in the sales department is Rs. 350.

The average salary of 10 senior employees is Rs. 450 per employee.

The average salary of the remaining staff is Rs. 250 per employee.

Formula:

Average = (Sum of observations)/(Number of observations)

The sum of observations = Average × Number of observations

Calculation:

Let the total number of employees in the sales department be x.

The sum of salaries of all the employees in the sales department is:

(10 × 450) + (x - 10) × 250

The average salary per employee is given as Rs. 350, so we can write:

350 = [(10 × 450) + (x - 10) × 250]/x

Multiplying both sides by x, we get:

350x = (10 × 450) + (x - 10) × 250

Expanding the right-hand side, we get:

350x = 4500 + 250x - 2500

Simplifying and solving for x, we get:

100x = 2000

x = 20

Therefore, the total number of employees working in the sales department is 20.

Shortcut Trick

Remaining distance ratio = 1 − 3/5 = 2/5

Remaining distance = 250 × (2/5) = 100 km

Target time to reach = 6 hours − 0.5 hours (30 min) = 5.5 hours

Remaining time = 5.5 − 3.5 = 2 hours

Required Speed = 100 ÷ 2 = 50 km/h

∴ The correct answer is 50 km/h.

Alternate Method

Given:

Total Distance = 250 km

Total Time allowed = 6 hr

Distance covered = 3/5 of 250 km in 3.5 hr

Target = Reach 30 minutes early

Formula Used:

Speed = Distance ÷ Time

Calculations:

⇒ Distance covered = (3 ÷ 5) × 250 = 150 km

⇒ Remaining distance = 250 − 150 = 100 km

⇒ Target reaching time = 6 hr − (30 ÷ 60) hr = 5.5 hr

⇒ Time remaining for the journey = 5.5 − 3.5 = 2 hr

⇒ Required speed = 100 ÷ 2 = 50 km/h

∴ The correct answer is 50 km/h.

Additional Information

Average Speed

It is calculated as Total Distance ÷ Total Time. If a journey is divided into parts, Average Speed = (d₁ + d₂) ÷ (t₁ + t₂).

Speed Conversion

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

Relative Speed

When two objects move in the same direction, relative speed = |u − v|. In opposite directions, relative speed = u + v.

The correct answer is 'Apprehensive’.

Key Points

• ANXIOUS: The word 'Anxious' is an adjective that conveys a feeling of worry, unease, or nervousness, typically about an imminent event or something with an uncertain outcome. (चिंतित)
• Example: Sarah was anxious about her upcoming exam.
• APPREHENSIVE: The term 'Apprehensive' is an adjective as well and carries a similar meaning. It refers to being anxious or fearful that something bad or unpleasant will happen.(भयभीत)
• Example: He felt apprehensive about the consequences.

Therefore, the correct answer is Option 2, 'Apprehensive' since it is the closest in meaning to 'Anxious'.

Additional Information

• COLLECTED: It means calm and composed. संकलित
• ACCEPT: This verb refers to consent to receive or undertake something offered. स्वीकार करना
• FLAWLESS: Which refers to being without any blemishes or mistakes. परिपूर्ण; निर्दोष

The correct meaning of the idiom "slack off" is option 2) To ease pressure on something.

Explanation:

"Slack off" is an idiom that means to decrease or reduce one's effort or activity, to relax, or to take it easy. It is often used in the context of work or study, where someone who was previously working hard or putting in a lot of effort suddenly starts to work less or become lazy. When someone "slacks off," they are reducing the amount of pressure or workload they are experiencing.

Here are the meanings of the other options in English and Hindi:

To understand a hidden meaning - This option is not the correct meaning of the idiom "slack off." "To understand a hidden meaning" means to discover or comprehend a meaning that is not immediately obvious. In Hindi - एक छिपी हुई अर्थ को समझना

To ease pressure on something - This is the correct meaning of the idiom "slack off." "To ease pressure on something" means to reduce the workload or pressure on something. In Hindi - कुछ पर दबाव कम करना

To make most effort - This option is not the correct meaning of the idiom "slack off." "To make most effort" means to put in the maximum amount of effort possible. In Hindi - सबसे अधिक प्रयास करना

To be very rude - This option is not the correct meaning of the idiom "slack off." "To be very rude" means to be impolite or disrespectful to someone. In Hindi - बहुत अकड़ दिखाना

So, the correct answer to the given question is option 2) To ease pressure on something.

The correct improvement for the underlined part of the sentence is option 4) been removed for.

Explanation:

The underlined part of the sentence "has not been remove for 6 months" contains a grammatical error. The verb 'remove' is in the present tense, but it should be in the past participle form to show that the action has already been completed. The correct form of the verb in this case is "been removed."

The correct indirect form of the given sentence is option 4) My mother said that she was meeting my father that day.

Explanation:

In indirect or reported speech, we report what someone said without using their exact words. The tense of the reported speech is usually shifted back one tense, and pronouns and time expressions are also changed accordingly.

In the given sentence, the reporting verb "said" is in the past tense, which means that the tense of the reported speech should also be shifted back one tense. "I am meeting your father today" is in the present continuous tense, which should be changed to the past continuous tense ("was meeting") in reported speech.

Therefore, the correct indirect form of the sentence is "My mother said that she was meeting my father that day".

The error is in option 2) "molecules raise into the air."

The correct form of the verb in this sentence is "rise" because it should be in the present tense. The correct sentence should read, "When we cook garlic, the sulphide molecules rise into the air and fill the room with their pleasing aroma."

The correct order of the parts of the sentence is: SQPR

Key Points

• S. appears at the climax, the moment when
• This sentence sets the context by stating that a product placement occurs at the climax, which is the moment of highest intensity or suspense in a narrative.
• Q. our attention is fixated on what will happen next,
• The sentence starting with "our attention is fixated" describes the state of focus or concentration that occurs during the climax. At this point, the audience is eagerly anticipating what will happen next in the story.
• P. we are either less likely to notice the placement
• This statement suggests that due to the heightened focus on the narrative's unfolding events, there is a reduced likelihood of noticing the product placement. The audience's attention is primarily directed towards the storyline rather than the presence of any advertising.
• R. or more likely to be annoyed by it if we do notice it
• In this final part, it is mentioned that if the audience does happen to notice the product placement during the climax, there is a higher chance of them being annoyed by it. This annoyance can stem from the distraction it poses or the perception of the advertisement interrupting the narrative flow.

The sentence is discussing the effects of product placement in a narrative, and the proper order of events is:

"If a product placement appears at the climax, the moment when our attention is fixated on what will happen next, we are either less likely to notice the placement or more likely to be annoyed by it if we do notice it."

The correct option to fill in the blank is "late."

Explanation of the options:

"Late" means near or towards the end of a particular period of time, in this case, the thirties.

"Lest" means with the intention of preventing something undesirable; it is not the correct word for the given sentence.

"Latter" means the second of two things mentioned, and it does not make sense in the given sentence.

"Least" means the smallest in amount or extent and is not relevant to the sentence.

Therefore, "late" is the correct option to complete the sentence.

The correct option is "Mount Kilimanjaro in Tanzania and on Mount Kenya".

 Key Points

• The proper sentence should read: "Africa has glaciers on Mount Kilimanjaro in Tanzania and on Mount Kenya".
• The use of the definite article 'the' before each mountain name, as in the original sentence, is redundant and grammatically incorrect as specific geographical locations typically don't use it.
• Using 'on' before each mountain's name maintains parallel structure and consistency, which enhances readability and clarity.
• This modification makes a more concise and correct sentence, meeting English language standards for geographical names.

Therefore, the correct option is 'Option 4'.

Additional Information

• Option 1 (Mount Kilimanjaro in Tanzania and the Mount Kenya) still incorrectly uses 'the' before Mount Kenya.
• Option 3 (No improvement) doesn't modify the sentence, which has grammatical errors.
• Option 4 (the Mount Kilimanjaro in Tanzania and to Mount Kenya) retains the incorrect 'the' and awkwardly uses 'to' instead of 'on'.

The most appropriate one-word substitution for the given group of words "Recovering from an illness or medical treatment" is "Convalescent".

Explanation:

Bohemian: A person who is socially unconventional and often involved in the arts.

Connoisseur: A person who is an expert in a particular area, especially in matters of art or taste.

Convalescent: A person who is recovering from an illness or medical treatment.

Cosmopolitan: A person who is familiar with and at ease in many different countries and cultures.

Hinglish Solutions:

दिए गए समूह के शब्दों के लिए सबसे उपयुक्त एक शब्दीय विस्तार "बीमारी या चिकित्सा से स्वस्थ होना" के लिए "Convalescent" है।

HinglishBohemian: एक व्यक्ति जो सामाजिक रूप से अनुपचारिक है और अक्सर कला से जुड़ा होता है।

Connoisseur: एक व्यक्ति जो एक विशेष क्षेत्र में विशेषज्ञ है, खासकर कला या स्वाद के मामलों में।

Convalescent: एक व्यक्ति जो एक बीमारी या चिकित्सा से स्वस्थ हो रहा है।

Cosmopolitan: एक व्यक्ति जो कई विभिन्न देशों और संस्कृतियों में परिचित है और आसानी से अनुकूल है।

The correct sequence of the jumbled sentence is:

C. Gifts the sorceress gave me.

B. A story and a parchment.

A. The story was the tale of Kunti, mother of Arjun

D. mother of Arjun. The parchment was a map of Bharat's many kingdoms.

 

Explanation:

There were two final gifts the sorceress gave me: a story and a parchment. The story was the tale of Kunti, mother of Arjun. The parchment was a map of Bharat's many kingdoms.

Therefore, the correct sequence of the jumbled sentence is option 1) CBAD.

Option 2 contains a grammatical error.

The correct sentence should be: "for he had neither gun nor spear."

Explanation:

The error in option 2 is the use of "or" instead of "nor." "Neither/nor" is used to indicate a negative correlation between two items, whereas "either/or" is used to indicate a positive correlation. In this case, the sentence is stating that the boy had neither a gun nor a spear, so "nor" is the correct word to use.

Meander: to wander aimlessly or follow a winding course.

Grave: a place of burial for a dead body, typically a hole dug in the ground and marked by a stone or a mound.

Gall: bold and impudent behavior.

Brave: ready to face and endure danger or pain; showing courage.

The correct option for a word that means the same as 'Gallivant' is option 1) Meander.

 HinglishMeander: भटकना, घूमना

Grave: कब्र, समाधि

Gall: धृष्टता, साहस

Brave: साहसी, बहादुर

The correct passive form of the given sentence is: "All the cash has been taken by Meghna." (Option 2)

Explanation

All the cash had been taken by Meghna. - This is a correct passive construction, but it uses the past perfect tense, which implies that the action was completed before another past action. In the given sentence, there is no such indication of a past action, so this option is not appropriate.

All the cash has been taken by Meghna. - This is the correct passive form of the given sentence. It uses the present perfect tense, which indicates that the action was completed in the past, but the result is still relevant in the present.

All the cash had been taking by Meghna. - This is incorrect as "taking" is not the correct form of the verb to use in a passive construction.

All the cash was taken by Meghna. - This is a correct passive construction, but it uses the past tense, which implies that the action was completed in the past and is not relevant in the present. The present perfect tense is a more appropriate choice in this case.

The correct answer is Option 3.

Key Points

• Option 1) Inarticulate: This word means unable to express oneself clearly or fluently. It is the opposite of the meaning of 'glib' which means fluent and voluble but insincere and shallow. Therefore, this option is incorrect.
• Option 2) Implausible: This word means not seeming reasonable or probable; failing to convince. It is not a synonym of 'glib'. Therefore, this option is incorrect.
• Option 3) Easy: This word means achieved without great effort; presenting few difficulties. This option is a synonym of 'glib'. Therefore, this option is correct.
• Option 4) Sincere: This word means free from pretence or deceit; proceeding from genuine feelings. It is the opposite of the meaning of 'glib' which means fluent and voluble but insincere and shallow. Therefore, this option is incorrect.

Hence, the correct answer is option 3) Easy.

The correct answer is 'Option 3' i.e. 'Something that is bought without examining properly'.

Key Points

• The idiom "Pig in a poke" refers to buying or accepting something without first inspecting it or knowing its value, akin to buying a pig concealed in a bag (poke) without seeing it first.(बगैर ठीक से जांचे सामान को ख़रीदना)
• For example: "He bought the car online and it turned out to be a pig in a poke - it had numerous mechanical issues."
• The correct meaning "Something that is bought without examining properly" aligns with this concept. It refers to purchasing or acquiring something without a thorough inspection(बिना ठीक से जांचे वस्तु को ख़रीदना)
• For example: "Buying a house without a proper inspection can turn out to be a situation of buying something that is bought without examining properly."

Therefore, the correct answer is- 'Option 3' i.e**. 'Something that is bought without examining properly'.**

Additional Information

• Option 1 'To bring something to an end' signifies finalizing or concluding a matter or situation.(किसी चीज़ को अंत करना)
• Idiom- "Put the sunset on the day" suggests the act of concluding or finalizing something, akin to the sun setting, which represents the end of the day.
• Option 2 'A brave man amongst all the cowards' signifies a person who shows courage even when everyone else around them is scared. (डरपोकों के बीच एक बहादुर आदमी)
• Idiom- "A lion among sheep" signifies a brave person standing out amongst the crowd of those who are fearful.
• Option 4 'To obstruct someone's work' implies creating hurdles or interruptions in someone else's tasks.(किसी के काम में बाधा डालना)
• Idiom- "Throwing rocks in the gears" indicates deliberate sabotage or hindrance to someone's tasks or processes similar to how throwing rocks in mechanical gears would halt their operation.

The correct answer is Saint.

Additional Information

Vile: unpleasant, disgusting, or morally reprehensible (घिनौना)

Junkie: a drug addict (नशेड़ी)

Saint: a person acknowledged as holy or virtuous and typically regarded as being in heaven after death (महात्मा)

Atrocious: horrifyingly wicked (नृशंस)

The opposite of "fiend" which means an evil or wicked person would be a person who is good or virtuous.

Therefore, the correct answer is option 3) Saint.

Option 1) Vile means unpleasant or morally reprehensible and is not an antonym of "fiend."

Option 2) Junkie means a drug addict and is not related to the meaning of "fiend."

Option 4) Atrocious means horrifyingly wicked and can be a synonym of "fiend," but it is not the opposite

The correct order of the sentence is: PQSR

Explanation:

The sentence starts with an independent clause. It introduces the subject of the sentence, which is 'the researchers'.

R -   "performed experiments and developed a model" describes the actions taken by the researchers. They conducted experiments and created a model.

Q - "which explains how the worm's taste sensors" introduces the aspect being explained by the model developed by the researchers. It focuses on the worm's taste sensors and how they work.

S -  "process information from the environment" describes the process carried out by the worm's taste sensors. They receive information from the environment.

R - "to direct its foraging behaviour" the last part of the sentence explains the purpose of the model developed by the researchers. It helps the worm to direct its foraging behaviour.

Therefore, the correct order of the sentence is PQSR.

Option 2 is the correct answer: "No sooner had the news leaked out than"

Explanation:

The original sentence uses the phrase "hardly had" to indicate that something happened immediately after something else. The correct phrase to replace it with is "no sooner had."

Additional Information

Option 1, "No sooner did the news leaked out than," is incorrect because it uses the wrong verb tense. "Leaked" is past tense, but "did" requires present tense.

Option 3, "No sooner had the news leaked out that," is also incorrect because it uses the wrong conjunction. "That" is not the correct conjunction to use after "leaked out" in this context.

Option 4, "No improvement," is incorrect because the original sentence needs to be improved to make grammatical sense.