SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 3) (Previous Year Paper)

The logic followed here is:

hence, '6' is the correct answer.

Given :

Given code : P – Q % R & S + T

1) P – Q

‘P – Q’ means 'P is the mother of Q'.

2) Q % R

'Q % R' means 'Q is the brother of R'.

3) R & S 

R & S means 'R is the son of S'.

4) S + T

'S + T' means 'S is the father of T'.

 draw a family tree.,

Here , P is mother of T.

Hence, 'Mother' is the correct answer.

Calculation:

By option Method:

Option 1 : exchange 8 and 2 in 7 ÷ 2 – 8 × 4 + 1 = 0

⇒ 7 ÷ 8 – 2 × 4 + 1 = 0

⇒ 0.87 - 8 + 1 =0

⇒ -6.125 ≠ 0

This is not correct the equation.

Option 2 : exchange 8 and 2 in 2 × 4 – 8 + 5 ÷ 1 = 50

⇒ 8 × 4 – 2 + 5 ÷ 1 = 50 

⇒ 32 - 2 + 5 = 50

⇒ 35  ≠ 50

This is not correct the equation.

Option 3 : exchange 8 and 2 in 8 × 4 + 6 – 2 ÷ 1 = 6

⇒ 2 × 4 + 6 – 8 ÷ 1 = 6

⇒ 8 +6 -8 = 6

⇒ 6 = 6

This is correct the equation.

Option 4 : exchange 8 and 2 in 8 × 4 – 9 ÷ 3 + 2 = 35

⇒ 2 × 4 – 9 ÷ 3 + 8 = 35

⇒ 8 - 3 + 8 = 35

⇒ 13 ≠ 35

This is not correct the equation.

Hence, 'Option 3' is the correct answer.

Given :

$18 + (12 × 6) + (63 ÷ 7) × 4 +{(27)^{\frac{1}{3}}}-11=112:$

Calculation:

By option Method:

Option 1 : exchange 18, 11

⇒ $11 + (12 × 6) + (63 ÷ 7) × 4 +{(27)^{\frac{1}{3}}}-18=112:$

⇒11 + 72 + 9 x 4 + 3 - 18 = 112

⇒ 11 + 72 + 36 +3 -18 = 112

⇒ 104 ≠ 112

This is not correct the equation.

Option 2 : exchange 12, 4

⇒ $18 + (4 × 6) + (63 ÷ 7) × 12 +{(27)^{\frac{1}{3}}}-11=112:$

⇒ 18 + 24 + 9 x 12 + 3 -11 = 112

⇒ 18 + 24 + 108 + 3 -11 = 112

⇒ 142 ≠ 112

This is not correct the equation.

Option 3: exchange 6, 4

⇒ $18 + (12 × 4) + (63 ÷ 7) × 6 +{(27)^{\frac{1}{3}}}-11=112:$

⇒ 18 + 48 + 9 x 6 + 3 -11 = 112

⇒ 18 + 48 + 54 + 3 -11 = 112

⇒ 112 = 112

This is correct the equation.

Option 4: exchange 18, 12

⇒ $12 + (18 × 6) + (63 ÷ 7) × 4 +{(27)^{\frac{1}{3}}}-11=112:$

⇒ 12 + 108 + 9 x 4 +3 -11 =112

⇒ 12 + 108 + 36 +3 -11 =112

⇒ 148 ≠ 112

This is not correct the equation.

Hence, 'Option 3' is the correct answer.

The logic followed here is :

Hence, 'SA' is the correct answer.

The order of words according to dictionary,

2- Historian

4- Historical

1- History

3- Hobnail

5- Hobnob

Hence, 'Option 2' is the correct answer.

The pattern followed here is:

'Litre' is the measuring unit of 'Milk'.

Similarly,

'Kilogram' is the measuring unit of 'Sugar'.

Hence, 'Kilogram' is the correct answer.

Statements:

I. All R are H.

II. Some T are R.

Conclusions:

I. All H are R → Does not follow → Since 'All R are H' that means All H are R is a possibility not necessity so conclusion does not follow

II. All T are H → Does not follow → Since 'All R are H' &  Some T are R. that also means 'All T are H' is a possibility not necessity so conclusion does not follow

III. No R is T → Does not follow →  Since 'Some T are R'. that also means Some part of R lies in T so conclusion does not follow.

Hence, Neither conclusion follows.

The logic followed here is :

• The letters in word opposites to each other in as given in above table.

Similarly,

Hence, 'WVXVMG' is the correct answer.

The logic followed here is:

Similarly,

Hence, 'VGJI' is the correct answer.

Given:

Given expression:

Q is the sister of P

Option 1 : P × Q + R

P × Q  means that P is the brother of Q

Q + R means that Q is the father of R

Here, Q is brother of P.

Option 2 : P + R × Q

P + R means that P is the father of R

R × Q means that R is the brother of Q

Here gender of Q Unknown.

Option 3 : P × Q ÷ R

P × Q means that P is the brother of Q

Q ÷ R means that Q is the mother of R

Here, Q is the sister of P. So it will be answer.

Option 4 : Q × P ÷ R

Q × P means that Q is the brother of P

P ÷ R means that P is the mother of R

Here, Q is the brother P.

Hence, 'Option 3' is the correct answer.

The pattern followed here is:

'Meter' is the measurement unit of ' length'.

Similarly,

'Ampere' is the measurement unit of ' Electric current'.

Hence, 'Electric current : Ampere' is the correct answer.

The correct figure is:

Hence, the correct answer is "Option 2".

The positional values of English alphabet series are as follows:

 

The pattern followed here is:

Hence, the correct answer is 'LNM'.

The logic followed here is:

Apply the logic on each options,

Option 1 : (79, 51, 103)

The logic does not apply here.

Option 2 : (76, 34, 72)

The logic apply here.

Option 3 : (63, 23, 55)

The logic does not apply here.

Option 4 : (52, 22, 38)

The logic does not apply here.

Hence , the correct answer is 'Option 2'.

Alternate Method Logic: (1^st number ÷ 2) + 2^nd number = 3^rd number.

For, (56, 6, 34)

→ (56 ÷ 2) + 6 → 28 + 6 = 34.

For, (102, 27, 78)

→ (102 ÷ 2) + 27 → 51 + 27 = 78.

Similarly, for (76, 34, 72)

→ (76 ÷ 2) + 34 → 38 + 34 = 72.

Hence , the correct answer is 'Option 2'.

1) 9 – 5 × 4 + 6 ÷ 3 = 30

After interchanging the numbers 5 and 9, we get

5 – 9 × 4 + 6 ÷ 3 = 30

Applying the BODMAS Rule, we get

5 – 9 × 4 + 2 = 30

⇒ 5 – 36 + 2 = 30

⇒ 7 - 36 = 30

⇒ - 29 ≠ 30

The given equation is incorrect.

2) 9 × 3 + 5 ÷ 1 – 6 = 20

After interchanging the numbers 5 and 9, we get

5 × 3 + 9 ÷ 1 – 6 = 20

Applying the BODMAS Rule, we get

5 × 3 + 9 – 6 = 20

⇒ 15 + 9 - 6 = 20

⇒ 24 - 6 = 20

⇒ 18 ≠ 20

The given equation is incorrect.

3) 7 × 9 + 5 – 8 ÷ 4 = 40

After interchanging the numbers 5 and 9, we get

7 × 5 + 9 – 8 ÷ 4 = 40

Applying the BODMAS Rule, we get

7 × 5 + 9 – 2= 40

⇒ 35 + 9 - 2 = 40

⇒ 44 - 2 = 40

⇒ 42 ≠ 40

The given equation is incorrect.

4) 9 × 4 + 5 – 8 ÷ 2 = 25

After interchanging the numbers 5 and 9, we get

5 × 4 + 9 – 8 ÷ 2 = 25

Applying the BODMAS Rule, we get

5 × 4 + 9 – 4 = 25

⇒ 20 + 9 – 4 = 25

⇒ 29 - 4 = 25

⇒ 25 = 25

The given equation is correct.

Hence, the correct answer is '9 × 4 + 5 – 8 ÷ 2 = 25'.

Statements:

Some apples are fruits.

All fruits are vegetables.

No vegetable is healthy.

Conclusions:

I- No apple is healthy → False (No direct relationship given between apple and healthy, so it may be possible but not defined)

II- No healthy is vegetable → True (It is given that no vegetable is healthy, so no healthy is vegetable)

III- Some vegetables are apples → True (It is given that some apples are fruits and all fruits are vegetables, so some vegetables are apples)

Hence, "Only conclusions II and III follow".

The pattern followed here is :

• Figure one is related figure two, Figure third is related figure fourth and Figure fifth will be related figure sixth.
• All elements are moving clockwise direction.

​

Similarly,

Hence, 'Option 1' is the correct answer.

The logic followed here is :

• First number x 2 + 1 = Second number.

 

Apply the logic on each options,

Option 1 : 32 – 65

 

The logic apply here.

Option 2 : 12 – 25

 

The logic apply here.

Option 3 : 28 – 56 

The logic does not apply here.

Option 4 : 26 – 53

 

The logic apply here.

Hence , the correct answer is 'Option 3'.

The logic followed here is:

(First Number)² - 16 = Second Number

For 27 : 713, we have

27² - 16 = 729 - 16

⇒ 713

For 35 : 1209, we have

35² - 16 = 1225 - 16

⇒ 1209

Using the same logic for the third term, we can get the fourth term.

32² - 16 = 1024 - 16

⇒ 1008

Hence, the correct answer is "1008".

The correct mirror image of the given figure when the mirror is placed at the line MN is as follows:

Hence, "Option 4" is the correct answer.

Taking dice positions 2 and 3 with 6 as common,

 

Moving clockwise from the Common number 6,

 

Pair of opposite numbers:

6 - 5

3 - 4

1 - 2

So, the opposite number to 1 is 2.

Hence, the correct answer is "2".

The pattern followed here is:

• The big circle flipped horizontally in each successive figure.
• The two small circle are anti-clockwise rotated at 90^o in each successive figure.

Similarly,

Hence, 'Option 3' is the correct answer.

The logic followed here is:

Hence, ‘160’ is the correct answer.

The pattern followed here is:

Hence, ‘ISA’ is the correct answer.

The correct answer is 543.

Key Points

• The Lok Sabha, also known as the House of the People, is the lower house of India's bicameral Parliament.
• Its members are chosen by direct election on the basis of adult suffrage to represent their respective constituencies, and they serve terms of five years or until the body is dissolved by the President on the recommendation of the council of ministers.
• The Lok Sabha is composed of representatives of people chosen by direct election on the basis of Universal Adult Suffrage.
• The Constitution of India allows for a maximum of 550 members in the House, with 530 members representing the States and 20 representing the Union Territories.
• At present, the Lok Sabha has 543 seats filled by elected representatives. The term of the Lok Sabha, unless dissolved, is five years from the date appointed for its first meeting.
• However, while a proclamation of emergency is in operation, this period may be extended by Parliament by law for a period not exceeding one year at a time and not extending in any case, beyond a period of six months after the proclamation has ceased to operate.
• There are now 543 Lok Sabha constituencies in India, with the most constituencies being in Uttar Pradesh (80).

Additional Information

• The President, Lok Sabha, and Rajya Sabha together make up the Parliament of India.
• The Rajya Sabha and Lok Sabha are both essential parts of India's parliament. The Lok sabha has 543 members, whereas the Rajya sabha has 250 members .
• The majority of state-related decisions are made based on votes cast by Rajya sabha members, but no decision may be made for the state without the consent of the Lok Sabha members.
• Both the Speaker and the Deputy Speaker of the Lok Sabha are chosen by a simple majority of the members present and voting to serve as the House's presiding authorities. The Constitution merely stipulates that the Speaker must be a member of the House; no other requirements are set forth for election as Speaker.

The correct answer is John Alexander Newland.

Key Points

• In 1887, the Royal Society, London gave the Davy Medal for the ‘discovery of the periodic law of chemical elements’ to John Alexander Newland.
• British chemist, John Alexander Reina Newlands specialised in elemental periodicity.
• John Newlands was the first to create a table of chemical elements grouped according to their respective atomic weight.
• He made his idea of the periodicity of the chemical elements, which he had arranged in order of atomic weight, public in 1864.
• In order to make a connection with musical octaves, Newlands named this phenomenon, The Law of Octaves after noticing commonalities between elements whose atomic weights varied by seven.

Additional Information

• The first person to arrange chemical elements according to their atomic weights was AEB de Chancourtois, who also created an early version of the periodic table known as the "telluric helix" because tellurium was in the centre.
• Russian chemist and inventor Dmitri Ivanovich Mendeleev is best known for conceiving the Periodic Law and developing a preliminary version of the periodic table of elements.
• A pioneer in creating the first iterations of the periodic table of chemical elements was the German chemist Julius Lothar Meyer.

The correct answer is Karve Committee.

Key Points

• In , the Karve Committee was formed for the Village and Small-scale Industries.
• The Planning Commission (now NITI AAYOG) established the Karve Committee, a group focused on rural areas and small-scale industry, in 1955.
• The Karve Committee was so named in honour of its head, Dattatreya Gopal Karve, a professor and economist from India who made contributions to the disciplines of public administration, economics, and the cooperative movement in his country.
• The Karve Committee was established for the expansion and development of small businesses and rural development.

Additional Information

• Rangarajan Committee:
• ​In order to review the poverty measurement methodology, the C Rangarajan Committee was established. The Tendulkar Committee's estimate of India's poverty rate was rejected in the report. The research claims that in, this percentage was 29.5 percent of the population, meaning that three out of every 10 Indians were considered to be poor.
• Basel Committee:
• The Group of Ten (G10) countries' central bank governors created the Basel Committee on Banking Supervision (BCBS), a group of banking regulatory agencies, in 1974. The committee offers a space for ongoing collaboration on banking supervision issues. Its goal is to increase knowledge of important supervisory issues and raise the standard of global financial supervision.
• Narasimhan Committee:
• ​Maidavolu Narasimham served as the Narasimham Committee's founding chairman. Between 2 May 1977 to 30 November 1977**, he served as the RBI's 13^th governor**. In 1998, a new Committee was established, this one headed by Narasimham and with P Chidambaram serving as the finance minister.
• The Narasimham Committee-I, which was established in 1991, is the predecessor to the Narasimham Committee-II, which was established in 1998. The Committee is often referred to as the Banking Sector Committee. The Committee was tasked with reviewing the reforms' implementation status and making recommendations for how to further enhance the industry.

The correct answer is Kerala.

Key Points

• The Technology Transfer Scheme was implemented by the state of Kerala in November 2022.
• The government will reimburse companies up to 10 lakh under the Technology Transfer Scheme**,** run by Kerala Startup Mission (KSUM), for technologies they acquire from government research institutions or source themselves and use to create potentially marketable items.
• With the aid of this programme, startups of Kerala will have easier access to the knowledge needed to transform their concepts into goods that can be sold.
• Startups that are registered as Limited Liability Partnerships (LLP) or Private Limited companies in Kerala and have an active registration with the Kerala Startup Mission (KSUM) are eligible for the technology transfer scheme.

Additional Information

• Transfer of Technology (ToT) or technology transfer is the transfer of data such as designs, inventions, materials, software, trade secrets, and technical know-how from one organisation to another or from one use to another.
• The rules, practises, and principles of any organisation taking part in the technology transfer process serve as guidelines.
• In order to share skills, knowledge, technologies, production techniques, and other things, universities, businesses, and governments can engage in formal or informal technology transfer.
• This method of knowledge sharing ensures that scientific and technological advancements are accessible to more users, who can then contribute to their growth or utilisation.
• Technology transfer can take place vertically by shifting technologies or horizontally by moving technologies between various regions.

The correct answer is Dantidurga.

Key Points

• Rashtrakuta leader, Dantidurga deposed the Chalukyas after deciding that he wanted to be more than a Samanta.
• After engaging in a ceremony known as the 'hiranya-garbha', he proclaimed himself as the king of the Deccan region of the Chalukyas and formed the Rashtrakuta Empire.
• According to Vedic philosophy, the origin of the universe or the manifested cosmos is known as hiranya-garbha, which means "golden womb" or "universal womb".
• With the assistance of Brahmanas, Dantidurga completed the hiranya-garbha ceremony, signifying his rebirth as a Kshatriya.

Additional Information

• Around 780 CE, Rashtrakuta ruler named, Dhruva Dharavarsha seized power over the realm.
• Dhruva Dharavarsha made the kingdom so large that it included the entire area between the Kaveri River and Central India.
• Dantidurga's uncle, Krishna I overthrew Kirtivarman II, the last Badami Chalukya king, in 757 CE to assume control of the expanding Rashtrakuta Empire.

The correct answer is Government of India Act of 1858.

Key Points

• The Government of India Act of 1858 was the Act of the British Parliament which stated that a member of the British Cabinet was appointed Secretary of State for India.
• The Government of India Act 1858 was enacted by the British Parliament on 2 August 1858.
• With the passage of the Government of India Act 1858, the East India Company's territories and government were turned over to the British Crown.
• Following the end of the company's administration over British colonies in India, control was transferred directly to the British government.
• Lord Stanley was appointed as the first Secretary of State for India.

Additional Information

• The Indian Councils Act 1861 was an Act of the British Parliament that changed the executive council of India into a cabinet that utilised the portfolio system.
• The Regulating Act of 1773 was an Act of the British Parliament designed to restructure the East India Company's administration of its rule in India.
• The British Parliament enacted the Charter Act, 1853 to extend the charter of the East India Company.

The correct answer is Siraj Ud Daulah.

Key Points

• The East India Company force led by Robert Clive and Siraj-Ud-Daulah, the Nawab of Bengal, engaged in a battle on June 23, 1757, at Plassey, in response to the East India Company's misuse of trade privileges, which infuriated the Nawab.
• Mir Jafar, the chief commander of Nawab Siraj-ud-Daulah, defected, which allowed for the victory of East India Company.
• With Clive's triumph, the British rose to become India's dominant economic and military force after capturing Calcutta.
• The Battle of Plassey took place at a site called Palashi (or Plassey), on the banks of the Hooghly River, about 150 kilometres north of Calcutta and south of Murshidabad, which was then the capital of Bengal Subah.

Additional Information

• The title of the kings who ruled the state of Awadh in north India during the 18^th and 19^th centuries was "Nawab of Awadh" or "Nawab of Oudh".
• First Nawab of Bengal, Murshid Quli Khan reigned from 1717 to 1727 and was also known as Zamin Ali Quli. He was born as hindu and was originally called, Surya Narayan Mishra.

The correct answer is 27 percent.

Key Points

• The report produced by Jayantkumar Banthia Commission,  recommended that OBCs should be given up to 27 percent reservation in local bodies.
• This report is accepted by court, and it confirmed that OBCs will get 27 percent political reservation in local self-government elections in the state.
• In case of direct recruitment to Group C and D posts which normally attract candidates from a locality or a region, the percentage of reservation forSCs /STs is generally fixed in proportion to the population of SCs and STs.​

Additional Information

• ​ This report made a way for candidates who belong to Other Backward Classes in Local Bodies’ Elections in Maharashtra.
• Commission has recommended to provide 27& reservation in local bodies.
• This recommendation has been accepted by the supreme court.
• As per report, reservation should be provided to OBCs in proportion to their population in each local body.
• However, this reservation should not affect the statutory reservation for scheduled castes and scheduled tribes. It is subject to reservation limit of 50%.

The correct answer is Airways.

Key Points

• In the early twentieth century, it is the fastest way of transport developed and most expensive due to the high cost of fuels.
• It is the only mode of transport to reach the most distant and remote areas especially where there are no railways and roads.
• For rescuing people and distributing medicine, water, clothes, and food, helicopters are extremely useful in most inaccessible areas and in times of calamities.

Additional Information

• Railways: railway is a kind of transport that needs railway tracks in the destination region, sometimes, the service is found unavailable or difficult to use.
• Roadways: A natural disaster can cause loss of life or damage property and typically leaves some economic damages. It firstly damages the road network that restricts transport by heavy vehicles.
• Waterways: Waterways also require a seaport to reach ,but it sometimes becomes unavailable for the services or located far away from the area.

The correct answer is 5.

Key Points

• The right to equality is one of the five fundamental rights in the Indian constitution, which are:
• This right of equality in law, prohibition of discrimination on grounds of race, religion, gender, and caste or birthplace.
• It also includes equality of opportunity in matters of employment and abolition of untouchability and titles.
• In a few words, it can be said that it is the right to live with equal opportunities.
• It implies treating all people in the same way and nobody can be treated privileged that may dishonor any individual or group.
• Article no 14 of our constitution, it guarantees that all people shall be equally protected by the laws of the country.

Additional Information

• ​Article 14 provides for equality in general.
• Article 21 guarantees the right to life and liberty.
• Article 15 prohibits Page 14 14 discrimination on the grounds of religion, race, caste, sex, or place of birth.
• This concept is borrowed from British Constitution.

The correct answer is Aspartame.

Key Points

• Aspartame is an artificial non-saccharide sweetener 200 times sweeter than sucrose and is commonly used as a sugar substitute in foods and beverages.
• It is a methyl ester of the aspartic acid/phenylalanine dipeptide.
• Chemical formula: C₁₄ H₁₈ N₂ O₅ .

Additional Information

• Saccharin
• Saccharin often used in the form of sodium saccharin, is an artificial sweetener with effectively no nutritional value.
• It is about 550 times as sweet as sucrose but has a bitter or metallic aftertaste, especially at high concentrations.
• Saccharin is used to sweeten products such as drinks, candies, cookies, especially for masking the bitter taste of some medicines.
• Sucralose
• It is a general-purpose sweetener that can be found in a variety of foods including baked goods, beverages, chewing gum, gelatins, and frozen dairy desserts.
• It is heat stable, meaning that it stays sweet even when used at high temperatures during baking, making it suitable as a sugar substitute in baked goods.
• Neotame
• The safety studies found that long-term neotame consumption is associated with low body weight and low body weight gain, although this has long been considered the result of low food consumption

The correct answer is 7000.

Key Points

• The process of silk production is known as sericulture.
• It was discovered by the Chinese 7000 years ago.
• According to legend, the princess Xi Lingshi discovered that a cocoon could be unraveled to produce a thread when one dropped into her tea while sat under a mulberry tree.
• The secret of silk production is the tiny creature known as the silk worm, the most common being the Bombyx Mori.
• A flightless, domesticated moth, it lays 500 eggs in 5 days and then dies.

Additional Information

• Silk Route:
• ​The Silk Route  was a network of Eurasian trade routes active from the second century BCE until the mid-15^th century.
• Spanning over 6,400 kilometers.,
• It played a central role in facilitating economic, cultural, political, and religious interactions between the East and West.
• The name "Silk Road", first coined in the late 19^th century, has fallen into disuse among some modern historians in favor of Silk Routes,
• It  describes the intricate web of land and sea routes connecting East and Southeast Asia, the Indian subcontinent, Central Asia, the Middle East, East Africa and Europe.

The correct answer is 2000.

Key Points

• The Commonwealth Youth Games (CYG) is an international multi-sport event organized by the Commonwealth Games Federation.
• The games were held in the years, mid-way between when the Commonwealth Games are held, and 2008.
• They continued to be held every four years, but in the year after the Commonwealth Games are held, from 2011 to 2015.
• Since 2017, they've been held in the year before the Commonwealth Games are held.
• The first edition was held in Edinburgh, Scotland from 10–14 August 2000.
• The age limitation of the athletes is from 14 to 18.

Additional Information

• Commonwealth Youth Games 2023
• The 2023 Commonwealth Youth Games will be held in Port of Spain, Trinidad and Tobago. The games were originally scheduled to be held in 2021, but were postponed due to the COVID-19 pandemic. The games will now be held from 4 to 11 August 2023.
• The Commonwealth Youth Games are a multi-sport event for athletes aged 14 to 18. The games are held every four years and are organized by the Commonwealth Games Federation. The 2023 Commonwealth Youth Games will be the seventh edition of the games.
• The games will feature 10 sports: athletics, badminton, boxing, cycling, gymnastics, judo, netball, rugby sevens, swimming, and tennis. There will also be a cultural program that will feature music, dance, and art from the Commonwealth.

The correct answer is the beating retreat ceremony.

Key Points

• Beating Retreat Ceremony is a military ceremony dating back to 17^th-century England.
• The Beating Retreat Ceremony was originally known as ‘Watch Setting’.
• This Ceremony was first used to recall nearby patrolling units to their castle.
• It was initiated at sunset by the firing of a single round from the evening gun.
• The Beating Retreat Ceremonies usually consist of firing a canon, marching a band, and other decorative presentations.
• Currently, most of the armed forces in the ‘Commonwealth’ perform some ceremonial form of retreat.

Additional Information

• According to Wing Commander Indranil Nandi, the Republic Day fly-past will feature 45 Indian Air Force (IAF) aircraft, one Indian Navy aircraft, and four Indian Army helicopters.
• At Home’ ceremony at Rashtrapati Bhawan, It is an opportunity for people from various walks to meet the PM (Prime Minister) and the President and to interact with each other.
• PM Modi pays tribute to fallen soldiers at National War Memorial on Republic Day.

The correct answer is Poland and Slovenia.

Key Points

• FIVB had announced that Poland and Slovenia will host the relocated 2022 Men's World Championship.
• It was the eighteenth edition of the World Athletics Championships.
• It was organized at Hayward Field in Eugene, Oregon, United States.
• The time was  from July 15–24, 2022 with the country hosting that competition for the first time.
• India appeared for two times only.

​ 

Additional Information 

• ​The first Championship was held in the year 1936 at Lahore (now in Pakistan).
• In 1951, the Volleyball Federation of India was formed, and its first meeting was held in Ludhiana (Punjab).
• Top five volleyball country Brazil, Russia, Serbia, Cuba, USA.

The correct answer is Permanent winds.

Key Points

• Polar easterlies are dry, cold prevailing winds that blow from the east.
• They emanate from the polar highs, areas of high pressure around the North and South Poles.
• Polar easterlies flow to low-pressure areas in sub-polar regions.
• Westerlies are prevailing winds that blow from the west at mid-latitudes.
• These winds are also called trades winds because winds blow from subtropical high-pressure belts towards the equatorial low-pressure.

Additional Information 

• Seasonal winds
• The winds which change their direction in different seasons.
• For example, the monsoons in India are seasonal winds.
• Sea storm
• The Sun's heat causes ocean surface waters to evaporate.
• The warm, moist air rises, cools, and condenses to form clouds.
• If the air is warm enough, large thunderstorms can form.
• Local winds
• This wind flow are caused by the uneven heat of the Earth's surface within a small area.
• Local winds form only when strong winds are weak.

The correct answer is Rajendra Kumar.

Key Points

• Dr. Rajendra Kumar, a senior IAS officer from Tamil Nadu Cadre (Batch : 1992) took over the charge of Director General of Employees’ State Insurance Corporation (ESIC) under Ministry of Labour & Employment, Govt. of India at its Headquarters on 04.10.2022 in New Delhi.
• Before assuming the charge of Director General, ESIC, Dr. Rajendra Kumar, IAS has served as an Additional Secretary in the Ministry of Electronics and IT (MeiTY) in the Government of India.

Additional Information

• Employees' State Insurance Corporation (abbreviated as ESIC) is one of the two main statutory social security bodies under the ownership of Ministry of Labour and Employment, Government of India, the other being the Employees' Provident Fund Organisation.
• The fund is managed by the Employees' State Insurance Corporation (ESIC) according to rules and regulations stipulated in the ESI Act 1948.
• Headquarter: New Delhi.

The correct answer is Filament.

Key Points

• The motile bacterias have thin filamentous extensions from their cell wall called flagella.
• Bacteria show a range in the number and arrangement of flagella.
• The bacterial flagellum is made up of three parts:

1. Filament
2. Hook
3. Basal body

• The filament is the longest portion and extends from the cell surface to the outside.
• This filament consists of Protein which is known as a bacteria cytoskeleton.

Additional Information

• Flagellum
• It is primarily a motility organelle that enables movement and chemotaxis.
• Bacteria can have one flagellum or several, and they can be either polar (one or several flagella at one spot) or peritrichous (several flagella all over the bacterium).
• Gram-negative bacteria
• The example of the bacteria Escherichia coli and Salmonella swim by rotating helical filamentous organelles called the flagellum.
• The flagellum rotates at a speed of 200–300 Hz driven by a reversible rotary motor embedded in the cell membrane at the base of the filament.

The correct answer is Sattriya.

Key Points

• Borgeet, a musical composition, is used in Sattriya.
• It is composed for Madhavdeb and Sankardev based on classical raga.
• The instruments include Khol (asymmetrical drum), Cymbals, manjira, flute, violin, harmonium, etc.​
• Some eminent personality who contributed importance are Late Moniram Dutta, Muktiyar Barban etc.

Additional Information

• ​Manipuri dance
• It is counted among major classical dance forms of India, especially noted for themes based on Vaishnavism and spectacular execution of 'Ras Lila', dance dramas based on love between Radha and Krishna.
• Kathak dance
• It is originated from Uttar Pradesh (U.P) in North India.
• This one is derived from the word Katha meaning story, and during the whole dance, the dancers narrate stories through their eyes and expressions.
• Bharatanatyam dance
• In this dance for style is noted for its fixed upper torso, bent legs and knees flexed (Araimandi) combined with footwork, and a vocabulary of sign language based on gestures of hands, eyes, and face muscles.

The correct answer is Collar cells.

 Key Points

• The body of sponges (poriferans) has several minute pores called ostia through which the water enters into the central cavity, spongocoel.
• The flagellated cells called choanocytes (collar cells) line the spongocoel.
• These cells generate a flow of water and the water current helps in food gathering, respiratory exchange and removal of waste.
• The water finally goes out of the body through a large pore called osculum. (Plural: oscula).
• The body wall of the sponge is composed of two layers: outer pinacoderm and inner choanoderm. In between these two layers, mesenchyme is present with various mesenchymal cells.

Additional Information

• Somatic cells make up the connective tissue, skin, blood, bones and internal organs.
• White blood cells are made in the bone marrow. They are stored in your blood and lymph tissues.
• These sex cells are also called reproductive cells or gametes. Sperm cells are produced in men's testicles and egg cells are produced in women's ovaries

The correct answer is Odisha.

Key Point

• Chilika is Asia's largest and the world's second-largest lagoon.
• It lies on the east coast of India in the state of Odisha, separated from the mighty Bay of Bengal by a small strip of sand.
• Chilika Lake is a brackish water lake and a shallow lagoon with estuarine character spread across the districts of Puri, Khurda, and Ganjam.

Additional Information

• Shanthi Sagara Lake | Davanagere District, Government of Karnataka.
• Vembanad Lake is the longest lake in India and the largest lake in Kerala.
• Kolleru Lake is one of the largest freshwater lakes in India located in state of Andhra Pradesh.

The correct answer is Sonipat.

Key Points

• Coal is a combustible black or brownish black sedimentary rock with a high amount of carbon and hydrocarbons.
• It is a important source of non-renewable energy.
• It is known as black diamond.
• Sonipat was earlier known as Sonprastha, which later became Svarnaprastha (Golden City), which is derived from two Sanskrit words, Svarna (Gold) and Prastha (Place).

Additional Information

• ​ Neyveli
• It is situated in Tamil Nadu.
• It is the principal lignite reserve Centre.
• Lignite is used for generation of electricity.
• Korba
• This Coalfield is located in Korba district in the Indian state of Chhattisgarh.
• It is situated in the basin of the Hasdeo River which is a tributary of the Mahanadi.
• Singareni
• It is a village located in Khammam district, Telangana, India.
• ​It is a coal reserve centre.

The correct answer is Padma Shri.

Key Points

• Hema Malini (born 16 October 1948) is an Indian actress, director, producer, and politician.
• She is primarily known for her work in Hindi films, Known for starring in both comic and dramatic roles.
• she is one of the most popular and successful leading actresses of mainstream .
• She is known as Dream Girl of Hindi cinema.
• She was honoured with the Padma Shri, the fourth-highest civilian honour awarded by the Government of India in 2000.

Additional Information

• ​ Bharat Ratna is awarded to a person as a recognition of exceptional service or performance in any field of the Indian endeavour.
• Padma Bhushan is awarded for the exceptional and distinguished service in Architecture ,medicine and public affairs.

The correct answer is Kuchipudi.

Key Points

• Kuchipudi is known as  the eight major Indian classical dances.
• It originates from a village named Kuchipudi in the Indian state of Andhra Pradesh.
• Kuchipudi is a dance-drama performance, with its roots in the ancient Hindu Sanskrit text of Natya Shastra.​​​
• Tirtha Narayanayati, a composer of Carnatic music and his orphan disciple Sidhyendra Yogi, a Telugu Brahmin, are accredited for initiating, methodizing and arranging the present day version of Kuchipudi in the 17^th century.

Additional Information

• ​Kathak is one of the eight major forms of Indian classical dance. It is the classical dance form from Uttar Pradesh.
• Odissi, also referred to as Orissi in old literature, is a major ancient Indian classical dance that originated in the temples of Odisha – an eastern coastal state of India.
• Sattriya dance originated in Assam.

The correct answer is 1/1-c.

Key Points

• The magnitude of the multiplier is directly related to the marginal propensity to consume (MPC), which is defined as the proportion of an increase in income that gets spent on consumption.
• MPC stands for Marginal Propensity to Consume.
• It is defined as the proportion of an aggregate raise in income that is spent by a consumer on goods and services instead of saving it.
• Expenditure multiplier= $1\over Marginal: propensity: to: save$
• We also know Marginal Propensity to save =1- Marginal propensity to consume = 1 - c
• i.e. Saving = Income - consume.
• here Income taken as 1 to ease the understand.
• Therefore if we can express the expenditure multiplier = $1\over 1-c$

Given:

Amount interest = Rs 480

Rate = 8%

Time = 2 year

Formula used:

Simple interest, $I=\frac{Principal:×:rate :of :interest:×:time}{100}$

Calculation:

$480=\frac{Principal ×8×2}{100}$

⇒ 48000=Principal×16

⇒ Principal=$\frac{48000}{16}$

⇒ Principal=3000

Hence, the sum is Rs 3000.

Given:

Curved surface area of the circular cone = 5940 sq.cm

Radius of the base(r) = 21 cm.

Formula Used:

Curved Surface area = π × radius × Slant height

Calculation:

Now it can be written as 

⇒ π × 21 × Slant height = 5940

⇒ π × slant height = $\frac{5940}{21}$

⇒ Slant height = $\frac{5940}{21×\pi}$ = 90

∴ The slant height of the cone is 90.

Given:

Two right angle triangle ABC and DEF.

∠A = 25°, ∠E = 25°, ∠B = ∠F = 90° and AC = ED

Concept used:

Two right-angled triangles are said to be congruent to each other when the hypotenuse and one side of the right triangle are equal to the hypotenuse and the corresponding side of the other right-angled triangle.

Calculation:

As, ∠A = ∠E = 25°, ∠B = ∠F = 90° and AC = ED

According to the congruence theorem of the triangle it can be written as:  ΔABC ≌ ΔEFD

Thus, ∠A=∠E; ∠B=∠F; ∠C=∠D

 

Hence, the correct answer is ΔABC ≌ ΔEFD.

Given:

Four fraction $\frac{1}{2},\frac{3}{4},\frac{5}{6},\frac{7}{8}$

Formula used:

H.C.F of fraction $=\frac{\ H.C.F \ of \ numerator}{\ L.C.M \ of \ denominators}$

Calculation:

HCF of the fractions

 = $\frac{ \ HCF \ of 1,3,5,7}{\ LCM \ of 2,4,6,8}$

=$\frac{1}{24}$

Hence the correct answer is option(2).

Given :

The Pie chart 

Formula Used:

The total angle of a circle =360⁰.

Calculation:

Total number of blood donors A and AB =(90⁰+70⁰)=160⁰.

Average number of blood donors $=\frac{160^0}{2}=80^0$

Donors of 'O' blood group=80⁰.

Ratio of donors of blood group 'O' and Average number of donors A and AB

=80⁰:80⁰

=1:1

Hence the correct answer is 1:1.

Given:

Abha and Anuj working together completed a job in$40\over9$ days.

Formula Used:

Total units of work. = Total number of days × Total Efficiency

​​$\frac{{M1.D1.T1.E1}}{{W1.C1}} = ;\frac{{M2.D2.T2.E2}}{{W2.C2}}$

Where,

M is the number of working men

D is the total number of days

T is total hours of working days

E is the efficiency of working men

W is total work

C is the consumption of working men

Calculation:

According to the question,

In both cases, they have worked equal units of work, 

Using the formula,

⇒ (Abha + Anuj) × 40/9 = [(2 × Abha) + (1/3 × Anuj)] × 60/17

⇒ 34 Abha + 34 Anuj = 54 Abha + 9 Anuj

⇒ 25 Anuj = 20 Abha

⇒ 5 Anuj = 4 Abha

The ratio of efficiency, 

⇒ Abha = 5 units/day & Anuj = 4 units/day

Total units of work, 

Total units of work. = Total number of days × Total Efficiency

⇒ (5 + 4) × 40/9 = 40 units 

Total number of days = Total units of work/Efficiency

Total number of days required by Abha to complete the work,

⇒ 40/5 = 8 days

Total number of days required by Abha to complete the work is 8 days.

Shortcut Trick

If p − 1/p = k, then p² + 1/p² = k² + 2.

If p² + 1/p² = m, then p⁴ + 1/p⁴ = m² − 2.

Given k = 6 ⇒ p² + 1/p² = 6² + 2 = 38.

Then, p⁴ + 1/p⁴ = 38² − 2 = 1444 − 2 = 1442.

∴ The correct answer is 1442.

Alternate Method

Given: p − 1/p = 6

Formula Used: (a − b)² = a² + b² − 2ab and (a + b)² = a² + b² + 2ab

Squaring both sides of the given equation:

⇒ (p − 1/p)² = 6²

⇒ p² + (1/p)² − 2 × p × (1/p) = 36

⇒ p² + 1/p² − 2 = 36

⇒ p² + 1/p² = 38

To find p⁴ + 1/p⁴, we square the resultant equation again:

⇒ (p² + 1/p²)² = 38²

⇒ (p²)² + (1/p²)² + 2 × p² × (1/p²) = 1444

⇒ p⁴ + 1/p⁴ + 2 = 1444

⇒ p⁴ + 1/p⁴ = 1444 − 2

⇒ p⁴ + 1/p⁴ = 1442

∴ The correct answer is 1442.

Additional Information

Algebraic Reciprocal Identities

When variables are reciprocals, the middle term 2ab simplifies to a constant 2, making p² + 1/p² = (p − 1/p)² + 2.

Perfect Square Calculation

To calculate 38² quickly, use (40 − 2)² = 1600 − 160 + 4 = 1444.

Relationship between Powers

The value of p⁴ + 1/p⁴ can always be derived from p² + 1/p² using the identity (x + 1/x)² − 2.

Given:

7 digit number 89476*2 is divisible by 8

Concept Used

Divisibility of 8 = last three digits of the number must be divisible by 8.

Calculation:

Here, 6*2 must be divisible by 8.

putting value of * = 1,2,3,4 ....

⇒ y = 1 as 612 is not divisible by 8  and give reminder 4.

⇒ y = 2 as 622 is not divisible by 8  and give reminder 6.

⇒ y = 3 as 632 is divisible by 8 .

Hence, the smallest possible value of * such that the number is divisible by 8 is '3'.

Given:

Discount=20%

Marked Price=Rs 400

Profit=25%

Formula Used:

Discount = Discount Marked Price × 100 

Selling Price = Marked Price - Discount 

Profit = Selling Price - Cost Price

Calculation:

Selling Price = 400 - $\frac{400 ×20}{100}$

⇒ 320

Profit = 25 = $\frac{320: -:CP}{CP}$ × 100

⇒ CP = 1280 - CP

⇒ 5CP = 1280

⇒ CP = $\frac{1280}{5}$

⇒ CP = 256

Hence, the cost price if the store earned a profit of 25% after giving the discount is Rs. 256.

Shortcut Trick

A megastore is offering 20% discount, so MP = 5 and SP =4

So, 5 unit → 400,

Then SP = 4 unit → 400/5 × 4 = Rs.320

Now, the store earned 25%, the CP = 4 and SP = 5

So, 5 unit → 320, 

Then CP = 4 unit → 320/5 × 4 = Rs.256

Given:

The expression

x4 - 15x3 + 15x2 - 15x + 40

x=14

Concept used:

Putting the values

Calculation:

After putting the values 

x4 - 15x3 + 15x2 - 15x + 40

⇒ (14)4 - 15×(14)3 + 15×(14)2 - 15×14 + 40

⇒ 38416-41,160+2940-210+40

⇒ 26

Hence the correct option is 26.

Shortcut Trick

x4 - 15x3 + 15x2 - 15x + 40

⇒ (14)4 - 15 × (14)3 + 15×(14)2 - 15×14 + 40

⇒ (14)4 - (14 + 1) × (14)3 + (14 + 1)(14)2 - (14 + 1) 14 + 40

⇒ (14)4 - (14)4 - (14)3 + 14³  + (14)2 - 14² - 14 + 40

⇒ 26

Given:

$\Delta ABC \cong \Delta PQR$

BC = 6cm

$\angle A = {75^o}$

Concept Used:

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Calculation:

If triangles ABC and PQR are congruent, then:

∠A = ∠P and ∠B = ∠Q

QR side of Δ PQR should be equal to side BC of Δ ABC so that the two triangles are congruent.

$QR = 6cm,\angle P = {75^o}$

Hence the correct option is Option(3).

Given:

Speed of the thief = x km/h

Speed of the policeman = 10km/h

Formula Used:

Speed = $\frac{Distance}{Time}$

Calculation:

Two bodies are moving in same direction then,

The relative speed between police and thief = (10 - x) km/h = (10 - x) × $\frac{5}{18}$ m/sec.

Distance between Police and thief is = 100m

Speed = (10 - x) ×$\frac{5}{18}$ = $\frac{100}{3×60}$ 

⇒ (10 - x) = $\frac{100×18}{3×60×5}$ = 2 

⇒ x = 10 - 2 = 8 km/h

∴ The speed of the thief is 8km/h.

Mistake Points

As the unit outside of the bracket is km/hr

Therefore the units of the final will be the same i.e.km/h

Given:

Speed of bus = 45 km/h

Speed of car = 80 km/h

Formula Used:

Average Speed = $\frac{\text { Total Distance Covered }}{\text { Total Time Taken }}$

Calculation:

Let the distance covered by person by bus be d.

When the person travels by bus the time taken can be calculated as:

Time Taken = Distance/Speed = $d \over 45$

When the person travels by car, the distance will be same. So, time taken can be calculated as:

Time Taken = Distance/Speed = $d \over 80$

The total time taken for the entire journey can be calculated as:

Total time taken = $d \over 45$ + $d \over 80$

Also, the Total Distance covered = 2d

So, Average speed can be calculated as:

⇒ $\frac{2 d}{\frac{d}{45}+\frac{d}{80}}$

⇒ $\frac{2 d}{16 d + 9d \over 720}$

⇒ $\frac{2 d}{\frac{25 d}{720}}$

⇒ $\frac{2 d \times 720}{25 d}$

⇒ 57.6 km/h

 ∴ The average speed for the whole journey is 57.6 km/h.

 Shortcut Trick

If distance is constant, the average speed = $\frac{2 \times S_1 \times S_2}{(S_1 + S_2)}$ [ where S1 and S2 are two speeds ]

Average speed = $\frac{2 \times 45 \times 80}{(45 + 80)}$ = 288/5 = 57.6 km/hr

Given:

 

 

 

 

 

 

 

Concept Used:

Difference between the cost of fruits A and B in all five shops together = |Sum total of difference in each shop|

Calculation:

 

 ∴ The difference between the cost of fruits A and B in all five shops together is 36.

Given:

$\sin θ = \frac{8}{{17}}$, where θ is an acute angle

Formula Used:

sin²θ + cos²θ = 1

tan θ = $\frac{\sinθ}{\cosθ}$ , and 

cot θ = $\frac{\cosθ}{\sinθ}$

Calculation:

In order to find $\tanθ$ and $\cotθ$, we need $\cosθ$:

sin2θ + cos2θ = 1

cos θ = $\sqrt{1-{(\sinθ)}^2}$

⇒ $\sqrt{1-{(\frac{8}{17})}^2}$

⇒ $\sqrt{1-{(\frac{64}{289})}}$

⇒ $\sqrt{\frac{225}{289}}$

⇒ $\frac{15}{17}$

Now, calculating $\tan θ + \cot θ$:

⇒$\frac{\sinθ}{\cosθ}+\frac{\cosθ}{\sinθ}$

⇒$\frac{(\sinθ)^2+(\cosθ)^2}{\sinθ\cosθ}$

⇒$\frac{1}{\sinθ\cosθ}$

⇒$\frac{1}{\frac{8}{17}\times\frac{15}{17}}$

⇒$\frac{17\times17}{8\times15}$

⇒$\frac{289}{120}$

 ∴ The value of tan θ  + cot θ is $\bf \frac{289}{120}$.

Shortcut Trick 

$\sin θ = \frac{8}{{17}}$ = P/H, we know the Pythagorean triplet (8, 15, 17)

Then, base (B) = 15, so tan θ = P/B = 8/15, cot θ = 15/17

⇒ tan θ + cot θ 

⇒ 8/15 + 15/8 

⇒ $\bf \frac{289}{120}$

Given:

Profit = 130% of the cost

Cost is increased by 28%

Selling price remains constant

Formula Used:

Profit = Selling Price - Cost Price

Calculation:

Let the cost price be x and selling price be y

So, Profit = 1.3x = y - x

⇒ y = 2.3x

Now, cost increases by 28%. So, the new cost price will be:

Cost price = x + 0.28x = 1.28 x

The selling price remains constant.

Then, the Profit after increase in cost price can be calculated as:

Profit = y - 1.28x

⇒ 2.3x - 1.28x

⇒ 1.02x

Profit Percentage = $\frac{\text{New Profit}}{\text{New Cost}}$ × 100

⇒ $\frac{1.02x}{1.28x}$ × 100

⇒ ~ 80%

 ∴ The Profit Percentage after increase in cost price will be 80%.

Given:

Number of boys and girls in a school in 6 years.

Calculation:

Number of Boys in the Year A = 80 

Number of Boys in the Year C = 120 

Number of Girls in the Year E = 40

Number of Girls in the Year F = 80

Total number of boys in year A and C together = 80 + 120 = 200

Total number of Girls in year E and F together = 40 + 80 = 120 

Ratio = 200 : 120 = 20 : 12 = 5 : 3

∴ The ratio of number of boys in year A and C together to the number of girls in year E and F together is 5 : 3.

Given:

$\rm {\sin ^2}θ ,{\cos ^2}θ = \frac{2}{9}$

Concept used:

Cosec θ = $1 \over sin θ$

Sec θ = $1 \over cos θ$

sin²θ + cos²θ = 1

Calculation:

According to the question, 

⇒ cosec2θ + sec2θ = $1 \over sin^2 θ$ + $1 \over cos^2 θ$

⇒ cosec2θ + sec2θ = ${sin^2θ + cos^2θ}\over {sin^2θ cos^2θ}$

⇒ cosec2θ + sec2θ = ${1\over {2\over9}}$

⇒ cosec²θ + sec²θ = ${9\over 2}$

∴ The value of cosec2θ + sec2θ is equal to 9/2.

Given:

ABC is an equilateral triangle.

Side of the triangle = 36 cm 

Concept used:

O is the circumcenter of the triangle ABC

OD is perpendicular to BC.

Calculation:

In triangle OBD and ODC, 

OB = OC (radius of circle)

BD = DC (D is the mid-point of BC)

OD = common 

∴ △OBD =  △ODC, 

∠BOD = ∠COD

∠BOC = 2 ∠BAC = 2 × 60° = 120° (because the angle subtended by an arc at the center is double the angle subtended by it any point on the remaining part of the circle.)

∠BOD = ∠COD = $\angle BOC \over 2$ = $120° \over 2$  =  60°

Now, BD = DC = $BC \over 2$ = 18 cm.

In △BOD, 

sin ∠BOD = $BD \over OB$

sin 60° = $18 \over OB$

OB = 18 × $2 \over √ 3$

OB = 12√3 cm = r

∴ The radius of the circle circumscribing this equilateral triangle is 12√3 cm.

Shortcut TrickCircum-radius of an equilateral Δ is a/√3, 

where a is side of an equilateral Δ  

Calculation:

Circum-radius = 36/√3

⇒ (12 × 3)/√3 = 12√3.   

∴ The radius of the circle circumscribing this equilateral triangle is 12√3 cm.