SSC GD Constable Previous Year Paper (Held on: 13th December 2021 Shift 3)

According to given figure:

The figure will appear when it is opened as follows:

Hence, "Option - (1)" is the correct answer.

Logic : (Second number - First number) = (Second number - Third number)

Given : (64, 51, 38)

64 - 51 = 51 - 38

13 = 13 (LHS = RHS)

So,

• (52, 46, 40)

​(52 - 46) = (46 - 40)

6 = 6 (LHS = RHS)

• (90, 120, 64)

​(120 - 90) = (120 - 64)

30 ≠ 56 (LHS ≠ RHS)

• (22, 50, 79)

(50 - 22) = (50 - 79)

28 ≠ -29 (LHS ≠ RHS)

• (45, 54, 99) ​

(54 - 45) = (54 - 99)

9 ≠ -45 (LHS ≠ RHS)

Hence, "(52, 46, 40)" is the correct answer.

Logic : Position value of opposite letter according to English alphabetic series.

​So, 

• STORE is written as :

​

• PURE is written as :

​

Similarly,

• ASSURED is written as :

​

Hence, "2688692223" is the correct answer.

The set of words that best represented by the given Venn diagram is shown below:

1. Students, Part-time workers, Girls - As girls can be both students and part-time worker. Students can be both part-time workers. Part-time workers can be both students and girls.

2. Engineers, Illiterates, Urban residents -  engineers can not be illiterates. ⇒ Option - 2 eliminated

3) Females, Mothers, Sisters - Mothers and sisters will come inside females. Mothers can be sisters  ⇒ Option - 3 eliminated

4) Mammals, Human beings, Reptiles - Human beings will come inside mammals. Reptiles is different from both human beings and mammals ⇒ Option - 4 eliminated

Hence, "Students, Part-time workers, Girls" is the correct answer.

The logic followed here is :-

From the given two different cubes the adjacent sides are as shown below :

As 5 is common on both the dice, it is clear that 1, 2, 3 and 4 are adjacent to it and remaining number i.e., 6 will be opposite to it.

Opposite pairs:

1 → 2

3 → 4

5 → 6

So, the opposite side of "6" will be side "5".

Hence, the correct answer is "5".

The pattern followed here is : Consecutive multiple of (6) is added.

Hence, "67" is the correct answer.

Given :

• A jug of 147 ml volume capacity is to be filled with water by using the minimum number of glasses from among three glasses of 11 ml, 17 ml and 23 ml capacity.
• The glasses can be used only at their fullest capacity and each glass has to be used at least once.

​To find : Minimum number of glasses would be needed to fill the jug fully by using these three glasses

Explanation :

Total capacity of the three glasses = (11 + 17 + 23) ⇒ 51 ml

Total capacity of jug = 147 ml

Now,

• First round = (147 - 51)

Left after 1st round = 96 ml

• Second round = (147 - 51)

Left after 2nd round = 45 ml

• Third round of 23 ml glass only = (45 - 23)

Left after 3rd round = 22 ml

As after third round 22 ml is left, which can seen as two glasses of 11 ml glass, therefore:

• Fourth round of two glasses of 11 ml = [22 - (11 × 2)] ⇒ 0

​Thus, after the fourth round the capacity is full

⇒Minimum number of glasses used = 3 (1st round of all three glasses) + 3 (2nd round of all three glasses) + 1 (3 round of 1 glass of 23 ml) + 2 (4th round of 2 glasses of 11 ml)

= 9 Glasses (4 glasses of 11 ml + 2 glasses of 17 ml + 3 glasses of 23 ml)

Hence, "9" is the correct answer.

Logic : (Second number × 2) + 4 = First number

So,

• 60 : 28

(28 × 2) + 4 = 60

56 + 4 = 60

60 = 60 (LHS = RHS)

• 70 : 33

(33 × 2) + 4 = 70

66 + 4 = 70

70 = 70 (LHS = RHS)

Similarly,

• ? : 41​

(41 × 2) + 4 = ?

82 + 4 = ?

? = 86

Hence, "86" is the correct answer.

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. Some designers are architects  → Follow (As some nurses are architects, all doctors are designers. So, it is definitely true)

II. No doctor is an architect → Does not follow (As some nurses are architects, all doctors are designers. So, it is definitely true)

∴ Here, Only conclusion I follows.

Hence, the correct answer is "Only conclusion I follows".

The pattern followed here is :

Hence, "10.5" is the correct answer.

Given : P R _ _ U C _ _ R O D U _ _ P R O D _ _ T

By checking options :

1. ODCPTCUT → P R O D U C C P R O D U T C P R O D U T T → (It doesn't Follows the pattern)
2. ODPTUTCC → P R O D U C P T R O D U U T P R O D C C T → (It doesn't Follows the pattern)
3. ODTCTPUC → P R O D U C T C R O D U T P P R O D U C T → (It doesn't Follows the pattern)
4. ODTPCTUC → P R O D U C T P R O D U C T P R O D U C T → (It follows the pattern of : PRODUCT - PRODUCT - PRODUCT)

⇒Option - (1) gives the pattern of "P R O D U C T -  P R O D U C T - P R O D U C T"

Hence, "ODTPCTUC" is the correct answer.

Logic : Each letter-cluster include atleast one vowel.

​So, 

• MRF - It does not include any vowel.
• LIP - It includes one vowel i.e 'I'.
• HOT - It includes one vowel i.e 'O'.
• POD - It includes one vowel i.e 'O'.

​Thus, out of the four letter-cluster only MRF does not include any vowel.

Hence, "MRF" is the correct answer.

Given : 50 A 19 B (36 D 2) C 3 A 15 A (10 D 5) = ?

So, by interchanging the letters with the signs according to question :

50 + 19 - (36 ÷ 2) × 3 + 15 + (10 ÷ 5) = ?

50 + 19 - 18 × 3 + 15 + 2 = ?

50 + 19 - 54 + 15 + 2 = ?

86 - 54 = ?

? = 32

Hence, "32" is the correct answer.

So, according to the question :

• Pointing to the photograph of Krip, Poorvi said, "He is my brother's wife's only daughter's paternal grandfather's son

→ Poorvi's brother's wife's is the sister-in-law of Poorvi

→ Poorvi's sister in law's only daughter means Poorvi's brother's daughter or Poorvi's niece.

→ Poorvi's niece's paternal grandfather means Poorvi's brother's father who will also be father of Poorvi too.

​Thus, according to the final family tree Poorvi is the sister of Krip.

Hence, "Sister" is the correct answer.

Given : K, L, M, N, O, P, Q and R are sitting around a circular table with their backs towards the centre of the table. 

Explanation :

NOTE → As all of them are facing the center with their backs, therefore with respect to their sitting position i.e backwards, all of them will be facing outside.

1) R is to the immediate left of M, who is second to the left of P. 

2) K is at fourth place to the right of P. 

3) R is second to the right of L. 

4) Q is between L and N. 

As after positioning Q and N only one position is left which will be occupied by the only person left i.e O.

Thus, according to the final arrangement O is sitting between M and P.

Hence, "O" is the correct answer.

The correct mirror image of the given combination when mirror is placed at PQ is as shown below:

Detailed Explanation:

• The line PQ is the mirror
• The word "HOT4SP9OT" the mirror is placed vertically instead of horizontally ⇒ Option 2 is eliminated.
• The word "HOT4SP9OT" the fourth digit is "4". So, the mirror image should be "

" instead of "

" ⇒ Option 3 is eliminated..

• The word "HOT4SP9OT" the third letter is "T". So, the mirror image should be "T" instead of "

"⇒ Option 4 is eliminated.

Hence, the correct answer is "Option - (1)".

The image embedded in given figure is as shown below :

∴ Here, Option figure -(1) is embedded in given figure.

Hence, the correct answer is "Option-(1)".

Logic : 

• Immediate next letter of the first four letters is written diagonally.
• Immediate next letter of the last four letters is written diagonally.

​So, 

• FESTIVAL is written as:

​

Similarly, 

• MAJESTIC is written as :

​

Hence, "FKBNDJUT" is the correct answer.

Logic : Immediate opposite letter according to English alphabetic series.

​So, 

• QZCT : JAXG

​

Similarly,

• MRDY : ?

​

Hence, "NIWB" is the correct answer.

Given :

• Four - persons, Deepak, Gurkiran, Shahid and Vikrant
• They are sitting around a square shaped table facing the centre.
• They are sitting in such a way that each person is at the middle of each side of the table.

​Explanation :

1)  Vikrant is to the immediate right of Deepak.

2) Shahid is facing Vikrant.

As after positioning shahid only one position is left which will be occupied by the only person left i.e Gurkiran.

Thus, according to the final arrangement Vikrant is sitting immediate left of Gurkiran.

Hence, "Vikrant" is the correct answer.

Logic : Opposite letter is written according to English alphabetic series.

So,

• CAR is written as :

​

• TOP is written as :

​

Similarly,

• FATHER is written as :

​

Hence, "UZGSVI" is the correct answer.

Logic : 

• (1) is subtracted from each first letter's position value.
• (2) is added to each second letter's position value.

​So, 

Hence, "ZS" is the correct answer.

The figure that can replace the question mark (?) in the following series is shown below:

Hence, "Option - (1)" is the correct answer.

According to the sequence in the dictionary.

3. Morpheus
4. Morris 
5. Mortified
6. Mortise
7. Mosaic

Hence, the correct answer is "3, 5, 4, 2, 1"

The logic followed here is:

• Mount Everest is one the names of the highest mountains in the world.

Similarly,

• Nobel is one the prize considered to be the most prestigious in the world.

Additional Information

1. Fame - the state of being widely known or recognized
2. Duty - a moral or legal obligation
3. Book - a set of sheets of paper bound together.
4. Prize - a reward for victory or superiority. Like Nobel prizes, Booker prize etc.

The correct answer is Adar Poonawalla.

Key Points

• Adar Poonawalla does NOT feature in Forbes 'World's Billionaires List', 2021.
• He is chief Executive Officer (CEO) of the Serum Institute of India (SII)
• A private family-owned business founded in 1966 by his father Dr. Cyrus Poonawalla.
• SII is the world’s largest vaccine manufacturer by the number of doses produced and sold a year (1.5bn).
• In 2017, he was appointed by the Indian Prime Minister as Brand Ambassador for Swachh Bharat, a country-wide campaign initiated by the Government of India to improve waste management.

Additional Information

• Forbes' world's billionaires list for 2021 includes a record-breaking 2,755 billionaires.
• Jeff Bezos is the world’s richest person for the fourth year running, worth $177 billion, up by$64 billion from 2020 as a result of surging Amazon shares.
• Elon Musk rocketed into the No. 2 spot with a $151 billion fortune, up by$126.4 billion in 2020 when he ranked No. 31.

The correct answer is Barack Obama.

Key Points

• ‘A Promised Land’ is a book by Barack Obama.
• A Promised Land is a memoir by Barack Obama, a former President of the United States from 2009 to 2017 and the first African-American president of the United States.
• It was published on 17 November 2020, by Crown Publishing Group and is the first of a planned two-volume series.

Additional Information

• Barack Obama was the 44th president of the United States.
• He the first African American to become the president of the United States.
• Barack Obama was honoured with the 2009 Nobel Peace Prize for his extraordinary efforts to strengthen International Diplomacy.

The correct answer is Oordhwaka.

Key Points

• There are three styles of temple architecture in India:
• Nagara Style (North India)
• Dravida Style (South India)
• Vasara style (Mix of Nagara and Dravida style)
• Oordhwaka drums are placed vertically before the musician and sound is produced by striking them with sticks or fingers.
• Hence Oordhwaka is NOT associated with the temple architecture in India.

Additional Information

• Nagara Style:
• Built on a stone platform with steps leading up to it.
• Have a tower or Shikhara.
• Have Grabhagriha ( A place for the idols of god and goddess).
• Examples: Kandariya Mahadeo temple at Khajuraho, Lakshamana temple.
• Dravida Style:
• Generally enclosed within a compounded wall.
• The entrance gateway is known as Gopuram.
• The shape of Temple tower known as Vimana (similar to Shikhara in Nagara style).
• Large water tanks are common in the temple complex.
• Examples: Brahadeeshwara temple, Rajarajeswara temple.
• Vasara style:
• This style of temple architecture is a mix of Nagara and Dravid style.
• Examples: Dodda Basappa Temple, Hoysala Temple.

The correct answer is Agriculture.

Key Points

• Agriculture was the only sector in the Indian economy that showed an increased GVA (Gross Value Added) of 3.4% in the first quarter of 2020.
• Agriculture is set to cushion the shock of the COVID-19 pandemic on the Indian economy in 2020- 21 with a growth of 3.4 per cent resulting in an increase in its share in GDP to 19.9 per cent in 2020-21 from 17.8 per cent in 2019-20.
• The services sector accounts for 53.89% of total India's GVA of 179.15 lakh crore Indian rupees.
• With GVA of Rs. 46.44 lakh crore, the Industry sector contributes 25.92%.
• While Agriculture and allied sector share 20.19%.

Additional Information

• Gross value added (GVA) is defined as output (at basic prices) minus intermediate consumption (at purchaser prices)
• It is the balancing item of the national accounts production account. GVA can be broken down by industry and institutional sector.
• Gross value added (GVA) is an economic productivity metric that measures the contribution of a corporate subsidiary, company, or municipality to an economy, producer, sector, or region
• Gross value added measures profits and wages of London-based businesses and London's employees.
• GVA= GDP + subsidies on products – taxes on products.

The correct answer is 1973.

Important Points

• Islands of Laccadive, Minicoy, and Amindivi changed into Union Territory of Lakshadweep by an Act 1973 of Parliament.
• Lakshadweep is the smallest Union Territory of India.
• The old name of Lakshadweep was Laccadive.
• Lakshadweep got the official name on 1st November 1973.
• Capital - Kavaratti
• Lieutenant Governor - Praful Patel(Sept 2022)
• The former capital of Lakshadweep is Kozhikode and the capital was shifted to Kavaratti in 1964.
• Lakshadweep is the most Literate Union Territory.
• Lakshadweep comes under the jurisdiction of the Kerala High Court.

The correct answer is ecosystem.

Key Points

• Ecosystem was in 1935 that Arthur Tansley, the British ecologist, coined the term ecosystem.
• Sir Arthur George Tansley FLS, FRS was an English botanist and a pioneer in the science of ecology.
• Educated at Highgate School, University College London, and Trinity College, Cambridge, Tansley taught at these universities and at Oxford, where he served as Sherardian Professor of Botany until his retirement in 1937.
• He was born on 15 August 1871 in London, United Kingdom, and died on 25 November 1955 in Grantchester, United Kingdom
• Tansley founded the New Phytologist in 1902 and served as its editor until 1931.
• He was a pioneer of the science of ecology in Britain.

Additional Information

• An ecosystem is the basic ecological unit in which living organisms interact among themselves and with their surrounding physical environment.
• The entire biosphere is referred to as a global ecosystem.
• Natural ecosystem - Forest, Grassland, Desert
• Artificial ecosystem - Crop field, Aquarium

The correct answer is Bases are soapy to touch, bitter to taste and corrosive.

Key Points

• Properties of Bases
• Some properties, like a bitter taste, are owned by all bases.
• The bases feel slippery, too.
• Furthermore, when immersed in water, bases conduct electricity because they consist of charged particles in the solution.
• They are found to have a soapy texture when touched.
• These substances release hydroxide ions (OH– ions) when dissolved in water.
• In their aqueous solutions, bases act as good conductors of electricity.
• The pH values corresponding to bases are always greater than 7.
• Bases are bitter-tasting substances that have the ability to turn red litmus paper blue.
• Examples: Sodium hydroxide [NaOH], milk of magnesia [Mg(OH)2], calcium hydroxide [Ca(OH)2].

Additional Information 

• Properties of Acids
• Acids are corrosive in nature.
• They are good conductors of electricity.
• Their pH values are always less than 7.
• When reacted with metals, these substances produce hydrogen gas.
• Acids are sour-tasting substances.
• Examples: Sulfuric acid, Hydrochloric acid, Acetic acid.

The correct answer is when the river channel follows the slope of the terrain and with its tributaries resembles the branches of a tree.

Key Points

• A dendritic drainage pattern is formed when the river channel follows the slope of the terrain and with its tributaries resembles the branches of a tree.
• These are by far the most common, develop in areas where the rock (or unconsolidated material) beneath the stream has no particular fabric or structure and can be eroded equally easily in all directions.
• The drainage pattern resembling the branches of a tree is known as “dendritic” the examples of which are the rivers of northern plain.

Additional Information

• Important Drainage Patterns
• Radial Patterns
• ​When the rivers originate from a hill and flow in all directions, the drainage pattern is known as ‘radial’.
• Volcanoes usually display excellent radial drainage.
• The rivers originating from the Amarkantak range present a good example of it.
• Centripetal Patterns
• ​When the rivers discharge their waters from all directions in a lake or depression, the pattern is known as ‘centripetal’.
• Trellis drainage
• When the primary tributaries of rivers flow parallel to each other and secondary tributaries join them at right angles, the pattern is known as ‘trellis’.
• These patterns typically develop where sedimentary rocks have been folded or tilted and then eroded to varying degrees depending on their strength.
• The Rocky Mountains of B.C. and Alberta are a good example of this, and many of the drainage systems within the Rockies have trellis patterns.

The correct answer is The UAE.

Key Points

• ICC headquarter is located in Dubai, United Arab Emirates.
• The ICC is the global governing body for cricket.
• Representing 104 members, the ICC governs and administrates the game and works with our members to grow the sport.
• The ICC is also responsible for the staging of all ICC Events.
• The ICC presides over the ICC Code of Conduct, playing conditions, the Decision Review System, and other ICC regulations.
• Through the Anti-Corruption Unit, it coordinates action against corruption and match-fixing.
• It was established in 1909 by the representatives of England, Australia, and South Africa as Imperial Cricket Conference.

Additional Information

The correct answer is 10.

Key Points

• RigVeda:
• The oldest religious text in the world.
• It is the collection of hymns, composed around 1700 BC, contains 1,028 hymns, and is divided into 10 mandalas.
• The third mandala contains the Gayatri Mantra.
• Saraswati is the deity river in Rigveda.
• 8th Mandala is ascribed to Kanvas and Angiras.
• 9th Mandala is the compilation of soma hymns.
• The 10th Mandala of Rigveda contains the Purushasukta hymn which tells about the origin of the Varna system.
• The Rigvedic society comprised four varnas, namely Brahmana, Kshatriya, Vaishya, and Shudra.

Additional Information

• Samaveda
• There are 1549 verses (except 75 verses, all have been taken from Rigveda)
• There are two Upanishads embedded in Samaveda – Chandogya Upanishad and Kena Upanishad
• The Samaveda is considered the root of Indian classical music and dance
• It is considered as the storehouse of the melodious chants
• Though it has lesser verses than Rigveda, however, its texts are larger
• There are three recensions of the text of the Samaveda – Kauthuma, Raṇayaniya and Jaimaniya
• Yajurveda
• Stands to mean ‘Worship Knowledge’, Yajurveda dates back to 1100-800 BCE; corresponding with Samaveda.
• It compiles ritual-offering mantras/chants.
• These chants were offered by the priest alongside a person who used to perform a ritual (in most cases yajna fire).
• Atharvaveda
• Stands to mean a tatpurusha compound of Atharvan, an ancient sage, and knowledge (atharvan+knowledge), it dates back to 1000-800 BCE.

The correct answer is 50.

Key Points

• Kharaj was a tax on agricultural land under the Delhi sultanate, and its range was one-third to half of the produce.
• The 'kharaj' tax imposed by Alauddin Khalji was equal to about 50% of a peasant's produce.
• Kharaj is mainly imposed on non-Muslims and converts them to Islam in recently conquered territories of Islam.
• Under the law of Islam, only native Muslims or those who converted to Islam were allowed to own land.
• Thus, the non-Muslim cultivators were encouraged to adopt Islam, so that they could sustain their agricultural holdings.

Additional Information

• There are different types of tax imposed during the Delhi sultanate:
• Zakat was a tax on property realized by the Muslims.
• Kham was one-fifth of the booty captured, a tax on mines, treasure troves, and a share on war booty.
• Jaziya levied on the non-Muslim subjects, particularly the Hindus. Women and children were, however, exempted from the taxes.

The correct answer is Japanese.

Key Points

• The SpaceX Crew Dragon spacecraft launched into orbit in November 2020 had three American and one Japanese astronaut onboard.
• SpaceX’s Crew Dragon capsule carrying:
• NASA astronauts Shane Kimbrough and Megan McArthur,
• Japanese astronaut Akihiko Hoshide
• French astronaut Thomas Pesquet
• SpaceX launched the Crew-2 mission for NASA and carried the four astronauts to the International Space Station on 23rd April 2021.
• A SpaceX Falcon 9 rocket carried the four astronauts to space in the company’s Crew Dragon spacecraft named “Endeavour.”

Additional Information

• SpaceX (Space Exploration Technologies Corporation) is a privately-owned aerospace manufacturer founded by Elon Musk.
• Elon Musk is also the current CEO (Chief Executive Officer) and CTO (Chief Technology Officer) of the organization.
• It was founded in the year 2002.
• It offers products like launch vehicles, rocket engines, spacecraft, etc.
• It is headquartered in Hawthorne, California, US.

The correct answer is A bilateral maritime exercise between India and Singapore.

Key Points

• From 23 to 25 November 2020 in the Andaman Sea, the 27th edition of India-Singapore Bilateral Maritime Exercise SIMBEX-20 was organized.
• The host for the 2020 edition of SIMBEX is the Indian Navy (IN).
• The SIMBEX series of exercises between the Indian Navy and the Navy of the Republic of Singapore (RSN) has been conducted annually since 1994.
• The goal of the exercise is to enhance mutual interoperability and to absorb best practices from each other.

Additional Information

• List of Important Military Exercises:​

The correct answer is Cripps.

Key Points

• Cripps mission was initiated by the British Government to India to secure full Indian cooperation for their efforts in World War II.
• Cripps Mission came to India in 1942.
• Stafford Cripps was a labour minister in Winston Churchill's coalition government in Britain.
• The Cripps Mission came to India from 22 March to 11 April 1942.
• Its aim was to obtain Indian cooperation for the British war in the 2nd World war.

Additional Information

• Proposals of Cripps Mission:
• Setting up of an Indian dominion.
• A constituent Assembly would be formed to frame a new constitution for the country.
• India’s defence would be controlled by the British until this new constitution came into force.
• The transfer of power and the rights of minorities would be safeguarded by negotiations between the Constituent Assembly and the British government.

The correct answer is December,1885.

Key Points

• Indian National Congress was formed in 1885 by a member of the Imperial Civil Service, A.O. Hume did it.
• The first meeting of the Indian National Congress was held on 28 December 1885.
• The first session was held in a hall of Gokuldas Tejpal Sanskrit College in Bombay.
• Womesh Chandra Banerjee was the first President of the Indian National Congress. He was an Indian barrister.
• In the first session, 39 out of 72 were lawyers and the trend continued i.e. more than a third of the representatives were from legal backgrounds. Hence option 3 is correct.
• The first session of the Congress was proposed in Poona, but due to the outbreak of plague in Poona, the venue was shifted to Bombay.

Additional Information 

Important INC Sessions

The correct answer is Fugitive Economic Offenders (FEO) Act, 2018.

Key Points

• Fugitive Economic Offenders (FEO) Act, 2018 allows persecution of a person who being abroad refuses to return to India to face criminal prosecution.
• A person is to be declared as an FEO under the Fugitive Economic Offenders Act, 2018 if:
• an arrest warrant has been issued against him for any specified offences where the value involved is over Rs. 100 crore, and
• he has left the country and refuses to return to face prosecution

Additional Information

• To declare a person an FEO, an application will be filed in a Special Court (designated under the Prevention of Money-Laundering Act, 2002) containing details of the properties to be confiscated. The Special Court will require the person to appear at a specified place at least six weeks from the issue of notice. Proceedings will be terminated if the person appears.
• Authorities can provisionally attach properties of an accused, while the application is pending before the Special Court. Upon declaration as an FEO, the properties of a person may be confiscated and vested in the central government. Further, the FEO or any company associated with him may be barred from filing or defending civil claims.

The correct answer is the Governor.

Important Points

• The Advocate-General holds office during the pleasure of the Governor.
• The "Advocate General" is a constitutional post under the state government of India.
• Article 165 of the Indian constitution defines the "Advocate-General" of State.
• He is appointed by the Governor of the state.
• A person is eligible to become the Advocate-General if he/she is qualified to be appointed as a judge of the High court.
• The Advocate General holds the office during the pleasure of the Governor.
• There is no fixed tenure of the Advocate General.
• The advocate general is the highest law officer of the state.

The correct answer is Employment.

Key Points

• Economic Survey 2020-21 constructs a Bare Necessities Index (BNI) at the rural, urban and all India level.
• The BNI summarises 26 indicators on five dimensions:
• water, sanitation, housing, micro-environment, and other facilities.
• Hence Employment is not one of them.
• The Bare Necessities Index is an attempt to quantify this approach to economic development using data from the National Statistical Office.

Additional Information

• According to Economic Survey 2020-21, real the growth rate for the financial year 2022 is assumed as based on IMF estimates of 11.5 Percent.
• In 2020–2021, the survey predicts nominal GDP growth of 15.4% and real GDP growth of 11%. This is consistent with the International Monetary Fund's (IMF) prediction of real GDP growth of 11.5% in 2021–2022.
• The economy of India will shrink by 7.7 per cent in FY2020–2021.
• The real GDP of India is expected to expand by 11%, and the nominal GDP would increase by 15.4%, which would be the fastest growth rate since the country's independence in FY21-22. The GDP will be worth 149.20 lakh crores of rupees in absolute terms in 2021–22.

The correct answer is Paika.

Key Points

• Paika is performed holding a sword in one hand and a shield in the other.
• Its a martial folk dance where performer is in battle formation with spears and sheild
• Paika is a form of long spear and also the word paika signifies battle.

Additional Information

• Santhali dance is usually performed by each the boys and girls of the Santhal tribe. 
• It`s terribly almost like the bamboo folks dance of Assam and Mizoram.
• Jadur of Bihar is a folk dance particularly popular among the tribal people of South Bihar called the Oraons.
• The Karma dance form from Mandla district of Madhya Pradesh.

The correct answer is Five.

Key Points

• As of 2015, Five states were the focus of the World Bank funded National Ganga River Basin Projects (NGRBP) of National Mission for Clean Ganga.
• The $1 billion National Ganga River Basin Project is helping the National Ganga River Basin Authority (NGRBA) build institutional capacity for rejuvenating the river.
• It is also financing key infrastructure investments in the five mainstem states -
• Uttarakhand, Uttar Pradesh, Bihar, Jharkhand and West Bengal.
• The world bank and the National Mission of Clean Ganga(NMCG) discussed the components of the second national Ganga river basin Project which comprises spillovers of Ganga-I and take up new projects on tributaries like Yamuna and Kali.

Additional Information

• About Namami Gange Programme:
• The Namami Gange Programme is an integrated conservation mission, approved by Union Government in 2014 with a budget outlay of Rs 20000 crore.
• On 12th August 2011, National Mission for Ganga (NMCG) was registered as a society under the Societies Registration Act 1860.
• The Vision of the program is to restore the wholesomeness of the Ganga River by ensuring ‘Aviral Dhara and ‘Nirmal Dhara’ and maintaining the geological and ecological integrity of the river.
• About the World Bank :(Sept 2022) 
• Headquarters: Washington D.C, United States
• President : David Malpass

The correct answer is fourth.

Key Points

• Nitish Kumar has sworn in as the CM of Bihar for the 7th time in two decades and for the 4th time consecutively since 2015.
• Governor of the state, Phagu Singh Chauhan administered the oath upon Nitish Kumar for the office of Chief Minister.
• An alliance of National Democratic Alliance and Janata Dal-United has formed the government in Bihar with a hold on 125 seats out of a total of 242 seats.

Additional Information

Nitish Kumar as the CM of Bihar:

• He became the CM of Bihar for the first time in 2000 but resigned within a week.
• He then assumed the office in 2005 and again in the 2010 term after the assembly polls, but stepped down in 2014 and was succeeded by Jitan Ram Manjhi.
• In February 2015, he was back to the office after Jitan Ram Manjhi was expelled out.
• In 2015 November, after the assembly elections JDU-UPA alliance’s victory, He became the CM of Bihar.
• He stepped down again in 2017 by breaking up with UPA and very soon returned to the office after his party allied with NDA.
• On November 16, 2020, he has sworn in as the CM of Bihar for the 7th time.

The correct answer is basil.

Important Points

• Basil or Tulsi is used in the treatment of cough and cold.
• Tulsi is a medicinal plant and has anti-cancerous metabolites.
• An Indian-American scientist Chandrakanth Emani along with his team is genetically engineering tulsi or basil to raise its pharmaceutical value.
• They have genetically engineered tulsi to produce a compound in tulsi that has a great pharmaceutical value that can control breast cancer.
• The name of the component is Eugenol.

Additional Information

• Medicinal plants and herbs like turmeric, ginger, basil leaves, mint and cinnamon are commonly used in Indian dishes and they offer several health benefits.
• Cold and flu, relieve stress, better digestion, strong immune system and the list is simply endless.

The correct Answer is 108.

Key Points

• FIFA is the highest governing body of International football with its headquarters in Zurich, Switzerland.
• India retains the 108th slot in the current FIFA World Rankings.
• India was ranked best in the rankings in the year 1996 when it was placed at 94th.
• Belgium is the number one ranked team in the world followed by France and Germany, in the latest FIFA Rankings in April  2020.

Additional Information

• FIFA is an international governing body of association football, beach football and futsal.
• It was founded in 1904 to oversee international competition among the national associations of Belgium, Denmark, France, Germany, the Netherlands, Spain, Sweden and Switzerland.
• The current President of FIFA is Gianni Infantino.
• It was founded in the year 1904 in France.

The correct answer is The US.

Key Points

• The US emerged as the second-biggest source of foreign direct investment (FDI) into India during April-September 2020, according to data by the Ministry of Commerce and Industry in India.
• Mauritius was the largest source of foreign investment in India, followed by the US and the UK, according to the census by the RBI.
• FDI or Foreign Direct Investment is an investment that a parent company makes in a foreign country, therefore it is sector specific.
• It helps in increase in the country's Gross Domestic Product (GDP).
• FDI is the long term investment in a specific sector, whereby entry and exit is not easy.

Additional Information

• Foreign Institutional Investor
• In FII, the investor invests in the markets of a foreign nation, thus increases capital availability in the market.
• The FII is also known as hot money as the investors have the liberty to sell it and take it back. But in FDI, this is not possible.
• FII can enter the stock market easily and also withdraw from it easily. But FDI cannot enter and exit that easily.

The correct answer is Jio.

Key Points

• Board of Control for Cricket in India (BCCI) has announced Reliance Jio as the title sponsor of the Women's T20 Challenge 2020.
• This is the first time a sponsor is partnering with the BCCI exclusively for the women's counterpart to the IPL.
• The women's T20 challenge is scheduled to run from November 4-9, 2020 in Sharjah.

Additional Information

• Women's T20 Challenge -2022
• Along with the 15th season of the IPL 2022 league, BCCI organized the Women's T20 Challenge in which 4 matches were played between three teams.
• And the final match was played between Supernovas and the Velocity team, in which Supernovas won the title.
• In the Women's T20 Challenge- Three teams participated.
• Harmanpreet Kaur was the caption of the Supernovas team.
• Smriti Mandhana was the caption of the Trailblazer franchise.
• Deepti Sharma was the caption of the Velocity team.

Given:

Six years ago, the ratio of the ages of A and B was 17 ∶ 13

Ratio of their present ages is 5 ∶ 4

Calculation:

Let the age of A & B, 6 years ago be 17x & 13x.

Now, (17x + 6) / (13x + 6) = 5 : 4

⇒ 68x + 24 = 65x + 30

⇒ 3x = 6

⇒ x = 2

Ratio of their ages after 4 years from now,

(17x + 10) : (13x + 10) = 44 : 36 = 11 : 9

Given:

A shopkeeper bought 200 notebooks at the rate of Rs. 80 for 5.

He sold half of them at the cost price and the remaining notebooks at the rate of Rs. 100 for 5.

Formula used:

Profit% = $\frac{S.P - C.P}{C.P} × 100$ 

Where S.P = Selling Price, C.P = Cost Price

Calculation:

According to the question,

5 notebook cost price = Rs. 80

Total 200 notebooks cost price = (80/5) × 200

⇒ Rs. 3200

Now he sold half of them at cost price

100 notebooks sold at cost price

⇒ (80/5) × 100 = 1600

 And 100 notebooks sold at rate of Rs. 100 for 5

⇒ (100/5) × 100 = 2000

Total C.P = 3200

Total S.P = 1600 + 2000 = 3600

Profit = S.P - C.P

⇒ 3600 - 3200 = 400

 Profit% = $\frac{S.P - C.P}{C.P}× 100$ 

⇒ (400/3200) × 100

⇒ 12.5%

∴ The required profit percentage is 12.5%

Given:-

SP = 66000

Gain% = 10

Formula used:-

% Gain = {(SP - CP) × 100}/CP

Calculation:-

Let CP be x

⇒ 10 = {(66000 - x) × 100}/x

⇒ 0.1x = 66000 - x

⇒ 1.1x = 66000

⇒ x = 60000

According to question

SP = 66000 + 600 = 66600

⇒ %Gain = {(66600 - 60000)× 100}/60000

⇒ %Gain = 660000/60000 = 11

 

Additional Information

⇒ **%**Loss = {(CP - SP)× 100}/CP

Given:

Principal 1 = Rs. 6,400

Amount 1 = Rs. 8,848 

Time 1 = $4\frac{1}{2}$ years = 9/2 years

Principal 2 = Rs. 9,000

Time 2 = $2\frac{2}{5}$ years = 12/5 years

Formula used:

Simple Interest = (P × R × T) / 100

Amount = Principal + Simple Interest

Calculation:

Amount 1 = Principal 1 + Simple Interest 1

8848 = 6400 + Simple interest 1

Simple Interest 1 = 2448

Simple Interest = (P × R × T) / 100

⇒ 2448 = {6400 × R × 9/2}/100

⇒ R  = 17/2 %

Now we find the simple interest for given Quantity on same rate

Simple Interest 2 = (P × R × T)/100

⇒ (9000 × 17/2 × 12/5)/100

⇒ 1836

Amount 2 = Principal 2 + Simple Interest 2

⇒ 9000 + 1836 = 10,836

∴ The required amount is Rs 10,836.

Shortcut Trick

Use the direct ratio formula between Cost Price (CP) and Marked Price (MP):

CP / MP = (100 − Discount%) / (100 + Profit%)

Ratio = (100 − 25) / (100 + 25) = 75 / 125 = 3 : 5

Given, CP = 3 units = Rs. 5,400 ⇒ 1 unit = Rs. 1,800

MP = 5 units = 5 × 1,800 = Rs. 9,000

∴ The correct answer is Rs. 9,000.

Alternate Method

Given:

Cost Price (CP) of the cooler = Rs. 5,400

Discount percentage = 25%

Profit percentage = 25%

Formula Used:

Selling Price (SP) = CP × (100 + Profit%)/100

Marked Price (MP) = SP × 100/(100 − Discount%)

Calculations:

⇒ Selling Price (SP) = 5,400 × (100 + 25) / 100

⇒ SP = 5,400 × 125 / 100

⇒ SP = 5,400 × 5 / 4 = 1,350 × 5 = Rs. 6,750

⇒ Now, Marked Price (MP) × (100 − 25) / 100 = SP

⇒ MP × 75 / 100 = 6,750

⇒ MP × 3 / 4 = 6,750

⇒ MP = (6,750 × 4) / 3

⇒ MP = 2,250 × 4 = Rs. 9,000

∴ The correct answer is Rs. 9,000.

Additional Information

Relation between CP and MP

The relationship is given by the formula: CP / MP = (100 − Discount%) / (100 ± Profit/Loss%).

Successive Discounts

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

Markup Percentage

Markup % = [(MP − CP) / CP] × 100. This indicates how much the price is increased over the cost price before offering a discount.

Shortcut Trick 

Alternate MethodGiven:

Solution A contain acid and water in the ratio 3 ∶ 5

Solution B contain acid and water in the ratio 9 ∶ 7

Solution A and B are mixed in the ratio 2 ∶ 3

Calculation:

Solution A total capacity = 3 + 5 = 8 units

Solution B total capacity = 9 + 7 = 16 units

Now we added solution A and B in 2 : 3

So Firstly we equal the capacity of solution A and B

Solution A = (3 + 5) × 2 = 16 units

That is equal to Solution B = 16 units

Now Solution A given in 2 ratio 

⇒ 16 × 2 = 32 units

Which contains Acid = (3/8) × 32 = 12 

Water = (5/8) × 32 = 20

And Solution B given in 3 ratio

⇒ 16 × 3 = 48 units

Which contains Acid = (9/16) × 48 = 27

Water = (7/16) × 48 = 21

In the resulting solution of A and B, we get

Acid = Solution A Acid + Solution B Acid

⇒ 12 + 27 = 39 

Water = Solution A water + Solution B Water

⇒ 20 + 21 = 41

∴ The ratio of Acid and Water in Resulting mixture is 39 : 41.

Given:

Rate = 15%

Time = $5 {\frac{1}{2}}$ years

Differences of amount and simple interest are Rs.1755 at the same rate in 10 years

Formula used:

SI = PTR/100

A = P + SI

where, Amount = A, Princple = P, Time = T & Rate = R

Calculation:

Let the sum be x

SI = (x × 11/2 × 15)/100

A = x + (x × 11/2 × 15)/100

⇒ A = 365x/200

Again, SI = PTR/100 

SI = (x × 10 × 15)/100

SI = 150x/100

According to the question,

⇒ 365x/200 - 150x/100 = 1755

⇒ 65x/200 = 1755

⇒ x = 5400

∴ The sum is Rs. 5400

Shortcut Trick

The first 8 even natural numbers not divisible by 3 are: 2, 4, 8, 10, 14, 16, 20, 22.

The consecutive gaps between them are 2, 4, 2, 4, 2, 4, 2, which forms a perfectly symmetric sequence.

For any symmetrically distributed series, Average = (First Term + Last Term) ÷ 2

⇒ Average = (2 + 22) ÷ 2 = 12

∴ The correct answer is 12.

Alternate Method

Given:

We need to find the average of the first eight even natural numbers which are not divisible by 3.

Formula Used:

Average = (Sum of all observations) ÷ (Total number of observations)

Avg = 12

+2

+4

+2

+4

+2

+4

+2

2

4

8

10

14

16

20

22

Symmetric sequence → Average is exactly at the midpoint

Calculations:

⇒ The series of even natural numbers is: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

⇒ By removing the numbers divisible by 3 (i.e., 6, 12, 18...), we get the required series.

⇒ The first 8 numbers are: 2, 4, 8, 10, 14, 16, 20, 22

⇒ Sum = 2 + 4 + 8 + 10 + 14 + 16 + 20 + 22

⇒ Sum = 96

⇒ Average = 96 ÷ 8 = 12

∴ The correct answer is 12.

Additional Information

Average of an Arithmetic Progression

For any sequence in an Arithmetic Progression, the average is simply the middle term or calculated as (First Term + Last Term) ÷ 2.

Average of Symmetric Sequences

If a sequence has symmetrically distributed gaps reading exactly the same from left-to-right as right-to-left, its average is also the mean of any two equidistant terms from the ends.

Sum of First 'n' Even Numbers

The sum of the first 'n' consecutive even numbers is given by n(n + 1), making their direct average equal to (n + 1).

Given:-

Radius of hemispherical solid = 14 cm

⇒ π = 22/7

Formula used:- 

Total surface area = 2πr² + πr² = 3πr²

Calculation:-

Total surface area = 3 × (22/7) × 14²

Total surface area = 3 × 22 × 14 × 2

Total surface area = 1848 cm²

Additional Information 

1. Volume of Hemisphere = $\large{\frac{2}{3}×π× r^3}$

2. Curved surface area of hemisphere = 2 π × r²

Calculation:

p + p% of 99 = 99 + 99% of p

⇒ p + (p × 99)/100 = 99 + (99 × p)/100

⇒ p = 99

Now, (p + 51)% of 928 + 72

⇒ (99 + 51)% of 928 + 72

⇒ 150% of 928 +72

⇒ 1392 + 72

⇒ 1464

∴ Correct answer is 1464.

Given:

a : b = 9 : 7

Calculation: 

⇒ a/b = 9/7

⇒ $(11a-9b)\over(2a+3b)$ = b(11a/b - 9)/b(2a/b + 3)

⇒ (11 × 9/7 - 9)/(2 × 9/7 + 3)

⇒ $(11a-9b)\over(2a+3b)$ = $36\over39$ = $12\over 13$

∴  $(11a-9b)\over(2a+3b)$ = ​​​​$12\over13$ ​

Alternate Methoda : b = 9 : 7

a = 9, and b = 7

$(11a-9b)\over(2a+3b)$

 $(11\times9-9\times7)\over(2\times9+3\times7)$ = $36\over39$ = $12\over13$

∴ The correct answer is $12\over13$

Given:

Selling price in first case = 20,850

Selling price in second case = 21,450

Calculation:

Let price of radio be 100x and TV be 100y

According to question,

120x + 115y = 20,850       --------(1)

115x + 120y = 21,450       --------(2)

We can write it as,

24x + 23y = 4170               ___(3)

23x + 24y = 4290             ____(4)

Multiply Eq (3) by 23 and (4) by 24 & subtract (3) from (4), we get

⇒ (552x + 576y) - (552x + 529y)

⇒ 102,960 - 95910 = 7050

⇒ 47y = 7050

⇒ y = 150

⇒ 100y = 100 × 150

⇒ 15000

∴ The cost price of the TV is 15000

Given:

Speed of B in completing a work is 3 times that of A

B completes the work in 28 days

Calculation:

Let the speed of A in completing a work be x

then, speed of B in completing a work be 3x

According to the question,

B completes the work in 28 days

Total work done by B = 28 × 3x = 84x

Speed of both A and B = x + 3x = 4x

Work done by A and B both = 84x/4x = 21

∴ They complete the work in 21 days.

Given:

⇒ $\frac{5}{6} \div \frac{5}{6}of\frac{5}{6} × 1\frac{2}{3} + \frac{3}{4} \div \frac{4}{3}of1\frac{1}{2} - 1\frac{1}{2} - \frac{5}{6} \div \frac{3}{4}$

Solution:

⇒ $5\over6$ / $25\over36$ × $5\over3$ + $3\over4$ / 2 - 3 / 2 - 5 / 6 × 4 / 3

⇒ 5 / 6 × 36 / 25× 5 / 3 + 3 / 4 × 1 / 2 - 3 / 2 - 10 / 9

⇒ 6 / 5 × 5 / 3 + 3 / 8 - 3 / 2 - 10 / 9

⇒ 2 + 3 / 8 - 3 / 2 - 10 \ 9

⇒ - 17 / 72

∴ The Right answer is - 17 / 72

Shortcut Trick

Relative Speed when moving towards each other = 45 + 70 = 115 km/h.

Distance 12 min before meeting is simply the distance covered by Relative Speed in 12 min.

Distance = 115 × (12 ÷ 60) = 115 × (1 ÷ 5) = 23 km.

∴ The correct answer is 23 km.

Alternate Method

Given:

Speed of Car 1 (S₁) = 45 km/h

Speed of Car 2 (S₂) = 70 km/h

Time (t) = 12 min = 12 ÷ 60 hours = 1/5 hours

Formula Used:

Relative Speed (Opposite Direction) = S₁ + S₂

Distance = Relative Speed × Time

Calculations:

⇒ Relative Speed = 45 + 70 = 115 km/h

⇒ Distance = 115 × (1/5)

⇒ Distance = 23 km

∴ The correct answer is 23 km.

Additional Information

Relative Speed

When two objects move towards each other, their Relative Speed is the sum of their individual speeds (S₁ + S₂).

Distance Before Meeting

The distance between two objects 't' time before they meet is always equal to (Relative Speed × t).

Unit Conversion

To convert minutes to hours, divide by 60. To convert km/h to m/s, multiply by 5/18.

Given:

P₁ = Rs 16400 & P₂ = Rs 18000

T₁ = 3  years & T₂ = 4 years

Total SI = Rs 10302

Formula used:

SI = PRT/100

R = (SI × 100)/(PT)

Calculation:

10302 =  [(16400 × 3R₁)/100] + [(18000 × 4R₂)/100] 

According to the question,

R₁ = R₂ + R

⇒ 10302 =  [(16400 × 3R)/100] + [(18000 × 4R)/100] 

⇒ 10302 =  492R + 720R

⇒ 1212R = 10302

⇒ R = 10302/1212

∴ R = 8.5%

Shortcut Trick

Ratio of sides = 3 : 2 ⇒ Sum of parts = 3 + 2 = 5

Perimeter = 2 × (Sum of parts) × k = 600 ⇒ 10k = 600 ⇒ k = 60

Area of rectangle = (3 × 60) × (2 × 60) = 21600 m²

Area of square = 6 × 21600 = 129600 m²

Side of square = √129600 = 360 m

Perimeter of square = 4 × 360 = 1440 m

∴ The correct answer is 1440 m.

Alternate Method

Given:

Ratio of length (l) and breadth (b) of rectangle = 3 : 2

Perimeter of rectangle = 600 m

Area of square = 6 × Area of rectangle

Formula used:

Perimeter of rectangle = 2(l + b)

Area of rectangle = l × b

Area of square = side²

Perimeter of square = 4 × side

Let the sides of the rectangular field be 3x and 2x.

⇒ 2(3x + 2x) = 600

⇒ 2(5x) = 600

⇒ 10x = 600

⇒ x = 60 m

⇒ Length (l) = 3 × 60 = 180 m

⇒ Breadth (b) = 2 × 60 = 120 m

⇒ Area of rectangular field = 180 × 120 = 21600 m²

⇒ Area of square field = 6 × 21600 = 129600 m²

⇒ Side of square field (a) = √129600

⇒ a = 360 m

⇒ Perimeter of square field = 4 × 360 = 1440 m

∴ The correct answer is 1440 m.

Additional Information

Properties of Rectangle and Square

Diagonal of a rectangle = √(l² + b²) and diagonal of a square = a√2, where l is length, b is breadth, and a is the side.

Relationship between Area and Perimeter

For a fixed perimeter, a square has the maximum area among all rectangles. Area of square = (Perimeter / 4)².

Units Conversion

Always ensure units are consistent; 1 hectare = 10,000 m² and 1 m = 100 cm.

Concept used:

Calculation:

(-5) of (-45) ÷ (-15) - (-3) + 5 × 1/15

⇒ 225 ÷ (-15) - (-3) + 5 × 1/15

⇒ -15 + 3 + 5 × 1/15

⇒ -15 + 3 + 1/3

⇒ -12 + 1/3

⇒ -35/3

∴ The correct answer is $-11\frac{2}{3}$

Calculation:

25 - 4 of (14.4 ÷ 9) + 16 × 0.4

⇒ 25 - 4 of 1.6 + 16 × 0.4

⇒ 25 - 6.4 + 6.4 = 25

∴ Correct answer is 25

Shortcut Trick

Using the Net Deviation method from the total average (46):

Total deviation of first 5 numbers = 5 × (49 − 46) = +15

Total deviation of next 6 numbers = 6 × (54 − 46) = +48

Combined deviation of these 11 numbers = +15 + 48 = +63

To balance the total average, the remaining 8 numbers must contribute a deviation of −63.

Average of remaining numbers = 46 − (63 ÷ 8) = 46 − 7.875 = 38.125 ≈ 38.1

∴ The correct answer is 38.1.

Alternate Method

Given:

Total numbers = 19, Average = 46

First 5 numbers, Average = 49

Next 6 numbers, Average = 54

Formula Used:

Sum of observations = Average × Number of observations

Calculations:

⇒ Total sum of 19 numbers = 19 × 46 = 874

⇒ Sum of first 5 numbers = 5 × 49 = 245

⇒ Sum of next 6 numbers = 6 × 54 = 324

⇒ Number of remaining numbers = 19 − 5 − 6 = 8

⇒ Sum of remaining 8 numbers = Total sum − (Sum of first 5 + Sum of next 6)

⇒ Sum of remaining 8 numbers = 874 − (245 + 324) = 874 − 569 = 305

⇒ Average of remaining 8 numbers = 305 ÷ 8 = 38.125

⇒ Rounding to one decimal place, we get 38.1

∴ The correct answer is 38.1.

Additional Information

Net Deviation Method

The sum of deviations of all items from the true average is always zero. If a subset has a net positive deviation, the remaining items must have an equal negative deviation to bring the overall average back to balance.

Combined Average

When two groups of sizes n₁ and n₂ have averages A₁ and A₂ respectively, their combined average is calculated as: A = (n₁A₁ + n₂A₂) ÷ (n₁ + n₂).

Weighted Average

It is a type of average where each data point has a different weight or importance depending on its count. Formula: W.A. = (w₁x₁ + w₂x₂ + ... + w_nx_n) ÷ (w₁ + w₂ + ... + w_n).

Given:

Work done by 2 men = Work done by 3 women

Work completed by 10 men and 6 women in 5 days

Formula used:

M₁H₁D₁/W₁ = M₂H₂D₂/W₂

Where, M = number of men or women

H = hours taken

D = days taken

W = amount of work

Calculation:

Let 4 men and 9 women complete the same work in D days.

⇒ 2 M = 3 W

⇒ M/W = 3/2

According to the question,

⇒ (10M + 6W) × 5 = (4M + 9W) × D

⇒ (10 × 3 + 6 × 2) × 5

⇒ 42 × 5 = 210

⇒ (4M + 9W) × D = 210

⇒ (4 × 3 + 9 × 2) × D = 210

⇒ 30D = 210

⇒ D = 7 

∴ 4 men and 9 women complete the same work in 7 days.

Given:

Length of the train = 320 m

Time = 90 seconds

Formula used: 

Speed (v) = Distance / Time

Concept used:

To convert the m/s into km/hr we will multiply the number by (18/5). 

Calculation: 

Length of the platform = 3 × (Length of the train)

⇒ 3 × 320 = 960 m

Total distance = Length of the train + Length of the platform

⇒ 320 + 960 = 1280 m

Speed = 1280/90

⇒ 128/9 m/s

⇒ (128/9) × (18/5) km/h

⇒ 51.2 km/h

∴ Correct answer is  51.2 km/h.

Given:

200% of k - (k + 2)% of 50 = k

Formula used:

A% of B = (A/100) × B

Calculation:

⇒ 200% of k - (k + 2)% of 50 = k

⇒ (200/100) × k - (k + 2)/100 × 50 = k

⇒ 2k - 0.5(k + 2) = k

⇒ 2k - 0.5k - 1 = k

⇒ 1.5k - 1 = k

⇒ 1.5k - k = 1

⇒ 0.5k = 1

⇒ k = 1/0.5 = 2

Given: 

a = 2 × 32 × 5 = 2⁶ × 5

b = 34 × 5 × 7 = 2 × 17 × 5 × 7

c = 22 × 3 × 7 = 2 × 11 × 3 × 7

So, the LCM of abc = 2⁶ × 5 × 17 × 7 × 3 × 11

= 12,56,640

Given:

Market price of an article = Rs. 480

A shopkeeper earns a profit of Rs. 63.60 after a discount of 18% 

Formula used:

SP = MP × (100 - D%)/100

Profit % = (Profit/CP) × 100

Where Profit = SP - CP

Calculation:

∵ SP = MP × (100 - D%)/100

⇒ SP = 480 × (100 - 18)/100

⇒ SP = 480 × (82/100)

⇒ SP = Rs $393\frac{3}{5}$

Now, CP = SP - Profit

⇒ CP =  $393\frac{3}{5}$ - $63\frac{3}{5}$ = Rs 330

Profit % = (Profit/CP) × 100

⇒ ($63\frac{3}{5}$/330) × 100

⇒ $19\frac {3}{11}$ %

∴ The required gain percentage is  $19\frac {3}{11}$ %

The solution is**, 'I was locked out'** 

Key Points

• We give importance to the object of the Active Voice sentence by turning it into a Passive sentence, thus, making it the subject of the sentence.
• Example - Active Voice: Ria did this. 'This' is the object of the sentence. Passive Voice: This was done by Ria. Now, 'This' is the subject of the sentence.
• The correct sentence is, When I got back / to the flat, / I found that / I had been locked out.

Additional Information

• Some important points about the Active and Passive Voice:
• In the Active Voice, the subject is the doer and the object is the receiver.
• Example - Kiara made the drawing.
• In the Passive Voice, the subject is the receiver and the object is the doer.
• Example - The drawing was made by Kiara.

The correct answer is confined.

Key Points

• The most appropriate option to fill in the blank "My grandmother is ______ to the bed." is confined.
• Confined -  Restricted of space in area or volume or cramped.  
• For example: "She fears confined places."
• ​My grandmother is confined to the bed.
• An adjective is a word naming an attribute of a noun, such as sweet, red, etc.
• Therefore option 1 is the correct option.

Additional Information

• Let's discuss information about other options:
• Concealed - Kept secret or hidden. 
• ​For example: " I concealed my marks from my parents."
• Concerned - Worried, troubled, or anxious.
• ​For example : " Sam was concerned about his fathers health."
• Confirmed - Firmly established in a particular habit, belief, or way of life and unlikely to change their ways.
• ​For example : " A confirmed bachelor."

The correct answer is Arrogent.

Key Points

• The INCORRECTLY spelt word is Arrogent.
• ​Here the incorrect word contains "e" instead of "a".
• The correct spelt word is Arrogant.
• Arrogant - Having or revealing an exaggerated sense of one's own importance or abilities. 
• ​For example : "He is arrogant and cheap."
• The word Arrogant is an adjective.
• The word Attention is a noun.
• The word Immediate is an adjective.
• The word Appeal is an adjective.
• Therefore option 4 is the correct option.

Additional Information

• Let's discuss information about other options:
• Attention - Notice taken of someone or something or the regarding of someone or something as interesting or important. 
• ​For example : "He drew attention to three spelling mistakes."
• Immediate - Occurring, acting, or accomplished without loss or interval of time : instant, near to or related to the present of or relating to the here and now : current 
• ​For example : "The team must take an immediate decision to win the game."
• Appeal - Make a serious, urgent, or heartfelt request.
• ​For example : "They made an appeal in the court to grant his bail."

The correct answer is Follow.

Key Points

• The option that can be used as a one-word substitute for "Go or come after a person or thing proceeding ahead" is Follow.
• Follow - Go or come after a person or thing proceeding ahead.  
• Example: "The police followed the murder suspect."

Additional Information

• Let's discuss the meaning of the given options:
• Race - The act of running.
• Example: "He ran a 10km race."
• Hunt - Pursue and kill a wild animal for sport or food.
• ​Example: The king hunted a deer."
• Search - Try to find something by looking or otherwise seeking carefully and thoroughly.
• ​Example: "The CBI searched for the proofs."

The correct answer is at.

Key Points

• The segment that contains a grammatical error in "She arrived / at / Monday morning / to attend the marriage." is at.
• Here the grammatical error is at. The correct preposition used should be "on".
• The correct sentence formed will be "She arrived on Monday morning to attend the marriage."
• Prepositions are used to show position of an object or someone.
• Therefore option 4 is the correct option.

Additional Information

• Let's discuss information about prepositions:
• Prepositions are used to show position of an object or someone.
• The image contains some words which are used as prepositions.

The correct answer is Tactile.

Key Points

• The option that can be used as a one-word substitute for "Connected with the sense of touch" is
• Tactile - Of or connected with the sense of touch. 
• For example : "Vocal and visual signals become less important as tactile signals intensify."
• Therefore option 4 is the correct option.

Additional Information

• Let's discuss information about other options:
• ​Auditory - Relating to the sense of hearing.
• For example : "The auditory nerve."
• Olfactory - Relating to the sense of smell.
• For example : "The olfactory organs."
• Visual  - Relating to seeing or sight.
• For example : "Visually blind person."

The correct answer is are.

Key Points

• The most appropriate option that can substitute the underlined word in "There is two pens in the box. " is are.
• There are two pens in the box.
• Here in the given sentence there are two pens, i.e. more than one pen is available in the box.
• In the sentence "is" should he replaced by "are" as pens is a plural noun.
• Therefore option 4 is the correct option.

Additional Information

• Plural noun - Plural noun is a noun that refers to more than one of something.
• For example : "Shells" , "Rooftops" , etc.
• ​Plural nouns rules for making sentences:
• ​To make regular nouns plural, add -s to the end.
• ​Car= Cars.
• House = Houses.
• If singular noun ends with -s, -ss, -ch, -x or -z add -es to the end.
• ​Tax = Taxes.
• Church = Churches.
• In some cases , singular noun ending in -s or -z, it is required that you double the -s or -z in order to add the -es to make it plural.
• ​Gas = Gasses.
• Fez = Fezzes.
• If the noun ends with -f or -fe, the f is somehow changed to -ve before adding -s to them to form plural form.
• ​Wife = Wives.
• Roof = Roofs.
• If a singular noun ends with -y we simply add -s.
• ​Ray = Rays.
• If a singular noun ends with -o add -es to make it plural some are exceptions to them just add -s.
• ​Potato = Potatoes.
• Photo = Photos.
• If a singular noun ends with -us add -i at end.
• ​Cactus = cacti.
• If a singular noun ends with -is add -es.
• ​Analysis = Analyses.
• If a singular noun ends with -on add -a.
• ​Phenomenon = Phenomena.
• Some nouns don't change when they are pluralized.
• ​Sheep = Sheep.
• Series = Series.

The correct answer is Usual.

Key Points

• The most appropriate synonym of "Common" is Usual.
• Usual - Habitually or typically occurring or done or customary.
• For example : " She carried out her usual chaos."
• Common - Occurring, found, or done often or prevalent. 
• For example : "They had common interests in each other."
• Therefore option 1 is the correct option.

Additional Information

• Let's discuss information about other options :
• ​Scarce - Insufficient for the demand.
• ​For example : "The raw supplies were scarce."
• Particular - Of, relating to, or being a single person or thing.
• For example : " The particular person I had in mind."
• Individual - Single or separate.
• ​For example : " The tiny flowers were individually beautiful."