SSC GD Constable Previous Year Paper (Held on: 14th December 2021 Shift 2)

The pattern followed here is:

1. Star, Kite and Square are shifting their position by an angle of 90° moving in clockwise direction.

2. The circle in the middle is rotating in clockwise direction by an angle of 90° without changing its original position.

3. The arrow is shifting its position and also rotating itself by an angle of 90° moving in clockwise direction.

Hence, 'option 2' is the correct answer.

By using the symbols in the table given below, we can draw the following family tree:

Clearly, Neeraj is the brother of the Lady in the photo.

Hence, ‘Brother’ is the correct answer.

The logic followed here is:

1. OWL → Two consonants and a vowel.
2. LUX → Two consonants and a vowel.
3. GHE → Two consonants and a vowel.
4. BJP → Three consonants.

Hence, 'BJP' is the odd one out.

Nine friends, A, B, C, D, E, F, G, H and I are sitting in a row, facing the north.

1. B is at the one end of the row.

Case I : 

Case II :

2. H is at the second place to the left of B. 3. A is second to the left of H. 4. F is between A and H.

Statement 2 cannot be satisfied in Case II, so it is eliminated.

Case I : 

5. C is at the third place to the right of E. 6. D is between I and C.

As only G is left, G will occupy the vacant position.

So, the final arrangement is:

Clearly, A is at the centre of the row.

Hence, 'A' is the correct answer.

The logic followed here is:

Logic: First number × 6 + 5 = Second number

• 36 : 221 → 36 × 6 + 5 = 216 + 5 = 221

Similarly,

• 43 : 263 → 43 × 6 + 5 = 258 + 5 = 263

Hence, '43 : 263' is the correct answer.

The mirror image of the given combination when the mirror is place at the right side is as shown below :

• The line PQ is the mirror.
• The given word "EGPTBN" has fifth letter "B", so the mirror image should be "

" ⇒ Option 1 is eliminated.

• The given word "EGPTBN" has sixth letter "N", so the mirror image should be "

" ⇒ Option 2 is eliminated.

• The given word "EGPTBN" has second, third and fourth letter "G", "P", and "T" so the mirror image should be "

 

 

" ⇒ Option 3 is eliminated.

Hence, 'option 4' is the correct answer.

The logic followed here is:

Similarly,

Hence, 'FSWI' is the correct answer.

The least possible Venn diagram is:

Conclusions:

I. Some painters are lawyers. → Follow (As, Some skilled are lawyers and All skilled are painters)

II. No painter is lawyer. → Do not follow (As, Some skilled are lawyers and All skilled are painters → Some painters are lawyers)

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

The paper when unfolded will appear as shown below:

Hence, 'option 1' is the correct answer.

Five friends are standing in a line facing towards north.

1. A Lawyer and a Judge are standing at the two extreme ends of the line.
2. A Pharmacist is to the left of the Judge. 

3. The Teacher is standing between the Lawyer and the Scientist. 4. A Scientist is standing to the right of a Teacher.

Counting from the left, the Scientist is standing at third place.

Hence, 'Third' is the correct answer.

Given sequence: bi_h_h_is_ohb_sh_h

1. sobhio → bishoh - bishoh - bishoh
2. sohboi → bishoh - hisboh - boshih
3. shoboi → bishhh - oisboh - boshih
4. shobio → bishhh - oisboh - bishoh

• In option 1, bishoh is repeated.

Hence, 'sobhio' is the correct answer.

The correct option that indicates the arrangement of the given words in the order in which they appear in an English dictionary is:

1. Creepy
2. Cremate
3. Creosote
4. Crescendo
5. Crescent

Hence, '1, 2, 3, 4, 5' is the correct answer.

The logic followed here is:

Similarly,

Hence, 'MLPQBA' is the correct answer.

The logic followed here is:

Logic: First Number × Third Number × 2 = Second Number

• 12, 168, 7 → (12 × 7) × 2 = 168

Similarly,

• 14, 448, 16 → (14 × 16) × 2 = 448

Hence, '14, 448, 16' is the correct answer.

There is one odd day in an ordinary year and two odd days in a leap year.

If May 27, 2007, is Sunday

May 27, 2008 - Tuesday

May 27, 2009 - Wednesday

May 27, 2010 - Thursday

May 27, 2011 - Friday

May 27, 2012 - Sunday

May 27, 2013 - Monday

May 27, 2014 - Tuesday

May 27, 2015 - Wednesday

May 27, 2016 - Friday

May 27, 2017 - Saturday

May 27, 2018 - Sunday

May 25, 2018 falls 2 days before May 27, 2018.

So, Sunday - 2 = Friday

Therefore, it was Friday on May 25, 2018.

Hence, 'Friday' is the correct answer.

Short-trick:

As, there is one odd day in an ordinary year and two odd days in a leap year.

Number of odd days between May 27, 2007 to May 27, 2018 = 2 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 + 1 =  14

14 divided by 7 gives 0 as remainder.

So, it was Sunday on May 27, 2018.

Therefore, the day on May 25, 2018 = Sunday - 2 = Friday.

Hence, 'Friday' is the correct answer.

The logic followed here is:

Hence, '60' is the correct answer.

After replacing the symbols by their meaning, we get:

(11 - 5 + 18) ÷ 8 × 17

= (29 - 5) ÷ 8 × 17

= 24 ÷ 8 × 17

= 3 × 17

= 51

Hence, '51' is the correct answer.

The image embedded in given figure is as shown below:

Hence, 'option 3' is the correct answer.

The faces opposite to each other is shown below:

 → Can't be formed as 2 cannot be to the right side of 4 and 5 as 2's position is to the left of 4 and 5 in the unfolded dice.

 → Can't be formed as 6 cannot be to the left side of 4 and 5 as 6's position is to the right of 4 and 5 in the unfolded dice.

 → Can be formed.

 → Can't be formed as 4 and 8 are opposite faces.

Hence, 'Only C' is the correct answer.

The number of people who have extra fingers and blue eyes and no dimples is A.

• A = 28

The number of people who have extra fingers and dimples and no blue eyes is B.

• B = 15

The sum of A and B = 28 + 15 = 43

     Hence, '43' is the correct answer.

The logic followed here is:

• 'Oven' is related to 'Baking' → Baking is a method of preparing food that uses dry heat, typically in an oven.

Similarly,

• 'knife' is related to '________' → Chopping means to cut something into pieces with repeated sharp blows of an axe or knife.

Hence, 'Chopping' is the correct answer.

The logic followed here is:

Logic: First and the last alphabet of word is multiply with 2 and middle number is multiply with 1.

Similarly,

Hence, '40920128' is the correct answer.

The logic followed here is:

Similarly,

Hence, '19918191' is the correct answer.

The logic followed here is:

38 × 3 + 6 = 114 + 6 = 120

120 × 3 + 6 = 360 + 6 = 366

366 × 3 + 6 = 1098 + 6 = 1104

Hence, '1104' is the correct answer.

The logic followed here is:

Hence, 'QWD' is the correct answer.

The correct answer is Lothal.

Key Points

• Fire altars of Harappan culture were found in the Lothal.
• Fire altars are pits meant for religious rites involving sacrifices to fire.
• These were a hallmark of Aryan religious beliefs.
• Shreds of evidence of fire altars are found in Lothal and Kalibangan towards the late Harappan phase, showing the presence of immigrants.

Additional Information

• Places and their importance in Harappan Culture

The correct answer is Karnataka.

In News

• Union Railways Minister Piyush Goyal dedicated the Hubballi Rail Museum in Karnataka in August 2020.
• This rail museum is the first of its kind in North Karnataka and the second in South Western Railway after the historic Mysore Rail Museum.
• The main objective of establishing this museum on behalf of Indian Railways is to make people aware of the glorious history of the railways.
• Through this museum, Indian Railways will tell people how the railway stations used to be earlier and how they have changed over time.
• This railway museum is located on National Highway 67 near the Hubballi railway station.
• People passing through this route can stop here and enjoy the railway museum.
• Karnataka has become the fourth state in the country where two or more railway museums exist.
• This Museum will have interesting information related to the railways for the common people.

Additional Information

The correct answer is Vijayalaya.

Key Points

• Vijayalaya was the founder of the Chola dynasty.
• The Chola dynasty was a Tamil dynasty that ruled primarily in southern India until the 13th century.
• The dynasty originated in the fertile valley of the Kaveri River.

Additional Information 

• Karikala Chola was the most famous among the early Chola kings, while Rajaraja Chola, Rajendra Chola and Kulothunga Chola I were famous emperors of the medieval Cholas.
• The Cholas were at the height of their power during the tenth, eleventh and twelfth centuries.
• Under Rajaraja Chola I (Rajaraja the Great) and his son Rajendra Chola, the dynasty became a military, economic and cultural power in Asia.
• The Chola territories stretched from the islands of the Maldives in the South to as far North as the banks of the Godavari River in Andhra Pradesh. Rajaraja Chola conquered peninsular South India, annexed parts of Sri Lanka and occupied the islands of the Maldives.
• Rajendra Chola sent a victorious expedition to North India that touched the river Ganga and defeated the Pala ruler of Pataliputra, Mahipala.
• He also successfully raided the kingdoms of the Malay Archipelago.
• The power of the Cholas declined around the 12th century with the rise of the Pandyas and the Hoysala, eventually coming to an end towards the end of the 13th century. The Cholas left behind a lasting legacy.
• Their patronage of Tamil literature and their zeal for building temples have resulted in some great works of Tamil literature and architecture.
• The Chola kings were avid builders and envisioned the temples in their kingdoms not only as places of worship but also as centres of economic activity. They pioneered a centralised form of government and established a disciplined bureaucracy.

The correct answer is Ismail Omar Guelleh.

Key Points

• Ismail Omar Guelleh won the Padma Vibhushan in 2019.
• Ismail Omar Guelleh is the current President of Djibouti, in office since 1999.
• He received the Padma Vibhushan for his assistance in the secure emigration of Indian nationals from Yemen.

Additional Information

• Padma Shri​
• ​Padma Shri also spelt Padma Shree, is the fourth-highest civilian award of the Republic of India, after the Bharat Ratna, the Padma Vibhushan, and the Padma Bhushan.
• It is awarded by the Government of India every year on India's Republic Day.
• ​Padma Vibhushan
• ​The Padma Vibhushan is the second-highest civilian award of the Republic of India, after the Bharat Ratna.
• The awards were started on 2 January 1954, the award is given for "exceptional and distinguished service".
• Latest awarded: 2022: Bipin Rawat (posthumous); Kalyan Singh (posthumous); Prabha Atre; Radheshyam Khemka (posthumous).
• ​Padma Bhushan
• ​The Padma Bhushan represents the third-highest civilian award in the Republic of India and is awarded to recognize distinguished service of a high order to the nation, in any field.
• Instituted on 2 January 1954, in the hierarchy, the Padma Bhushan comes after the Bharat Ratna and the Padma Vibhushan, but before the Padma Shri.

The correct answer is Manipur.

Key Points

• 'Shirui Lily Festival' is celebrated in Manipur.
• The Shirui Lily Festival celebrates the State Flower of Manipur and the event is a part of Manipur Tourism’s efforts to develop and implement sustainable and responsible tourism in the State and also to save and increase awareness about the endangered species of Manipur’s Shirui Lily, found only in the Shirui Hills.
• The festival is organized every year around April-May. The Department of Tourism will organize the 4th State Level Shirui Lily Festival from May 25–28, 2022.
• The Shirui Lily Festival is celebrated in honour of the state flower, the Shirui Lily.
• The celebration is during the peak blooming season of the Shirui Lily, a rare and endangered flower that can only be found in Manipur.
• Shirui lily grows on top of the Shirui hills in Manipur and cannot be replanted anywhere else in the world.
• The state flower of Manipur fills the air with its pleasant fragrance during the blooming season.
• The festival is observed primarily with the aim of spreading awareness and conserving the endangered state flower, “Shirui Lily”.
• The festival provides an opportunity for people from various communities and tribes to come together, explore the highest hill station of Manipur, the picturesque Ukhrul district and get deeper insights into the Tangkhul Naga tribe dwelling here.

The correct answer is 400.

Key Points

• In September 2021**, the Cabinet Committee on Economic Affairs (CCEA) approved the highest absolute increase in Minimum Support Prices (MSP) over the previous year for lentil (Masur), rapeseed and mustard at 400 per quintal for Rabi Marketing Season (RMS) 2022–23.**
• The Cabinet Committee on Economic Affairs (CCEA), chaired by the Hon'ble Prime Minister Shri Narendra Modi, has approved the increase in the Minimum Support Prices (MSP) for all mandated Rabi crops for the Rabi Marketing Season (RMS) 2022–23.
• The government has increased the MSP of Rabi crops for RMS 2022–23 to ensure remunerative prices to the growers for their produce.
• The highest absolute increase in MSP over the previous year has been recommended for lentils (Masur) and rapeseeds & mustard (Rs.400 per quintal each), followed by gram (Rs.130 per quintal).
• In the case of safflower, there has been an increase of Rs.114 per quintal, in comparison to last year. The differential remuneration is aimed at encouraging crop diversification.

Additional Information

• Minimum Support Prices (MSP)
• The Minimum Support Price (MSP) is a form of market intervention by the government of India to insure agricultural producers against any sharp fall in farm prices.
• The minimum support prices are announced by the government of India at the beginning of the sowing season for certain crops on the basis of the recommendations of the Commission for Agricultural Costs and Prices (CACP).
• MSP is a price fixed by the government of India to protect the producer (farmers - against an excessive fall in price during bumper production years.
• The minimum support prices are guaranteed prices for their produce from the Government.
• The major objectives are to support the farmers from distress sales and to procure food grains for public distribution.
• In case the market price for the commodity falls below the announced minimum price due to bumper production and a glut in the market, government agencies purchase the entire quantity offered by the farmers at the announced minimum price.

The correct answer is Warabandi.

Key Points

• Warabandi is a system of equitable distribution of water in the command area of the canal outlet.
• Warabandi is a system of rotation of supply of water according to a predetermined schedule as per area and crop needs specifying the day, time and duration of supply to each holding to ensure equitable water distribution among farmers of an outlet command.
• The Warabandi system is an organised way of water distribution to a large number of cultivators in the irrigation system.
• In this system, the discharge of an outlet is usually fixed at 30 litres/sec, using APM-type outlets. In some situations, the outlet is set for higher discharges, ranging from 30–85 litres/sec.
• Discharge rate higher than 85 litres/sec is beyond the control of the farmers adopting the Warabandi system major features favouring the adoption of this system are nearly level land, consolidated rectangular land holdings and water scarcity it stands for equitable distribution of water to the largest number of farmers in the command area of an outlet/distributors.
• In this system**, the distribution of water is carried out by keeping the stream of water constant and regulating the time of its flow this method of water allocation has originated in the Indus river system in India and Pakistan considered to be a powerful tool for promoting better water utilization.**

The correct answer is Azotobacter.

Key Points

• Azotobacter is a free-living aerobic nitrogen-fixing bacteria.
• Nitrogen is a critical limiting element for plant growth and production. It is a major component of chlorophyll, the most important pigment needed for photosynthesis, as well as amino acids, the key building blocks of proteins.
• It is also found in other important biomolecules, such as ATP and nucleic acids.
• Even though it is one of the most abundant elements (predominately in the form of nitrogen gas (N2) in the Earth’s atmosphere), plants can only utilize reduced forms of this element.
• Plants acquire these forms of “combined” nitrogen by:

1. The addition of ammonia and/or nitrate fertilizer (from the Haber-Bosch process) or manure to the soil
2. The releases of these compounds during organic matter decomposition
3. The conversion of atmospheric nitrogen into compounds by natural processes, such as lightning, and
4. Biological nitrogen fixation.

• Biological nitrogen fixation (BNF), is carried out by a specialized group of Prokaryotes.
• These organisms utilize the enzyme nitrogenase to catalyze the conversion of atmospheric nitrogen (N2) to ammonia (NH3).
• Plants can readily assimilate NH3 to produce the aforementioned nitrogenous biomolecules.

The correct answer is 12.

Key Points

• The Schedules are basically tables which contains additional details not mentioned in the articles.
• There are 12 Schedules in the Indian Consitution.​

Shortcut Trick

• How to remember all the 12 schedules: TEARS OF OLD PM
• 1st Schedule: T- Territory
• 2nd Schedule: E- Emoluments/salary
• 3rd Schedule: A- Affirmation/Oath
• 4th Schedule: R- Rajya Sabha
• 5th Schedule: S- Scheduled Tribe
• 6th Schedule: O- Other Tribes
• 7th Schedule: F- Federal (Division Of Powers)
• 8th Schedule: O- Official Regional Languages
• 9th Schedule: L- Land Reform
• 10th Schedule: D- Defection (Anti-Defection Law)
• 11th Schedule: P- Panchayati Raj
• 12th Schedule: M- Municipal Corporation

The correct answer is 1968.

Key Points

• The Maldives transitioned from a Sultanate to a Presidential form of government in 1968.

Additional Information

• History of Maldives
• The Maldives was a hub for trade across the Indian Ocean even before the British took control of the nation in the 1880s.
• At the time, it was a Sultanate with close ties to both India and the Arabian Peninsula.
• The British governed the country as a colony till 1965, exercising control over foreign policy but leaving internal governance to the Sultan.
• Following independence, a national vote in March 1968 abolished the Sultanate and founded a Republic.
• Ibrahim Nasir, the first president, decided to leave office in 1978 after serving two terms in a row.
• He facilitated a smooth and peaceful transfer of power by rejecting the offer of a third term.
• Subsequently, the Maldives was ruled for a major part of its post-independence period – from 1978 to 2008 – by Maumoon Abdul Gayoom, a former university lecturer and Maldivian Ambassador to the United Nations (UN).
• He grew up in Egypt and studied at Al Azhar University, then a stronghold of radical Islamic ideas.

The correct answer is Chapchar Kut.

Key Points

• Chapchar Kut main festival of the state of Mizoram.
• The Chapchar Kut is a festival of Mizoram, India.
• It is celebrated in March after the completion of their most arduous task of jhum operation i.e., jungle-clearing (clearing of the remnants of burning). It is a spring festival celebrated with great favour and gaiety.
• The Chapchar Kut festival is considered as one of the major festivals of Mizoram and is named after bamboo that has been cut and dried.
• The festival is also regarded as an agricultural festival that is celebrated in the month of March before the planting begins.
• The main highlight of the festival is the Cheraw or bamboo dance.
• Apart from this, the festival also involves different styles of dance that are performed on the beats of drums.
• Also, a number of events such as art shows, handicrafts, flower shows etc. are organized during the festival.

Additional Information

• Some important festivals of Mizoram

The correct answer is Madhya Pradesh.

In News

• ​​​Madhya Pradesh chief minister Shivraj Singh Chouhan announced in November 2020 a first-of-its-kind 'gau cabinet', yoking together six departments functioning under five ministers to work for the "conservation and welfare of cows".
• The mini-cabinet will meet for the first time on November 22 in honor of Gopashtami at Susner, the nation's first cow sanctuary, in the Agar Malwa district. The ministers of animal husbandry, forestry, panchayat, revenue, home, and farmers' welfare departments will be a part of this mini-cabinet.

Additional Information

• No one is permitted to transport cattle within the state under the Anti-Cow Slaughter Act of 2004.
• Even the transportation of cattle through the state needed special permission.
• In 2019, the State Government (Congress) of Madhya Pradesh amended the act. A six-month prison sentence and a fine ranging from Rs 25,000 to Rs 50,000 were mandated by the amendment for those found guilty of using violence against cows.
• In 2019, the State Government (Congress) of Madhya Pradesh amended the act.
• A six-month prison sentence and a fine ranging from Rs 25,000 to Rs 50,000 were mandated by the amendment for those found guilty of using violence against cows.
• Hinduism, Jainism, Sikhism, and Buddhism are among the religions that revere and honor cows in India.
• They consider the slaughter of cows to be sinful.
• On the other hand, in India, Christianity, Zoroastrianism, and Islam all accept the cow as a source of meat.
• Some Zoroastrians, however, worship cows and refrain from eating their meat.

The correct answer is Gwalior.

Key Points

• Raja Mansingh Tomar ruled over Gwalior.
• Maharaja Man Singh Tomar was born to Raja Kalyanmall Tomar of Gwalior.
• He was a great ruler and ruled for over 30 years.
• In his years the Tomar sometime at feud with and sometimes allied with the sultans of Delhi.
• Among others, he married the famous Gujari rani 'Mrignayani'.
• Tradition has it that Mrignayni was a very beautiful and courageous woman who said no to veiling her face like other queens did and fought a few battles along with Raja Man Singh.
• Maharaja Man Singh was a great warrior and great patron of Music.
• One of the nine gems of his court was Tansen.
• He died in the battles of Haldighati along with 3 generations.
• Within Gwalior Fort, also built by Raja Mansingh Tomar, is the Man Mandir Palace, built between 1486 and 1517.

The correct answer is India.

Key Points

• The Women's Asian Cup of the Asian Football Confederation was held in India in 2022.
• The AFC Women's Asian Cup returns to India for the first time since 1979 as the best of Asia bids to stake its claim to the continent's top honour.
• In Maharashtra, the competition took place from January 20 to February 6, 2022.
• India is returning to the competition for the first time since 2003 in a 12-team field.
• Thomas Dennerby is the coach of the national team after being promoted to the role last year from the U-17 girls' set-up.
• The tournament was originally set to be held in 2021 in Navi Mumbai, Ahmedabad, and Bhubaneswar but was postponed due to the COVID-19 pandemic.
• This edition of the tournament will be played behind closed doors.
• The tournament was held in Maharashtra across three cities: Mumba, Navi Mumbai, and Pune.
• The three venues are Mumbai Football Arena (Mumbai), DY Patil Stadium (Navi Mumbai) and ShivChatrapati Sports Complex (Pune).
• The tournament has been expanded to 12 teams for the first time in its history.
• Apart from the host India, the other teams are Japan, China, Iran, Chinese Taipei, Australia, Vietnam, Myanmar, Indonesia, Thailand, South Korea and the Philippines.

The correct answer is Indian Bank.

In News 

• All branches of Allahabad Bank will function as branches of Indian Bank following the amalgamation of the two lenders as per the Reserve Bank of India (RBI)'s notification dated March 28, 2020.
• All branches of Allahabad Bank will function as branches of Indian Bank following the amalgamation of the two lenders as per the Reserve Bank of India (RBI)'s notification dated March 28, 2020. Effective April 1, Allahabad Bank will cease to exist in its present form and will be officially merged with Indian Bank.
• The integration offers the merged entity a host of revenue and cost synergies.
• The realisable revenue synergies arise from harmonised and wider product offerings, optimisation of operations, increased opportunities for cross-selling, and technology spending optimisation.
• The large branch network and BC network of both lenders spread over the length and breadth of the country will ensure full coverage of priority sectors.
• Customers of both shall have access to a wider range of products and services.

Additional Information

The correct answer is New Zealand.

Key Points

• Greg Barclay, the new independent chairman of the International Cricket Council, belongs to New Zealand.
• Greg Barclay has been elected as the new Independent Chair of the International Cricket Council (ICC) and he succeeds Shashank Manohar, who stepped down earlier this year.
• Barclay, an Auckland-based commercial lawyer, has been a director of New Zealand Cricket (NZC) since 2012 and is currently NZC’s representative on the board of the International Cricket Council.
• He will step down from his position at NZC to lead the ICC independently.
• He was a director of the ICC Men's Cricket World Cup 2015 and is a former board member and chairman of the Northern Districts Cricket Association.
• Greg is also an experienced company director holding board positions with various New Zealand and Australian companies.

Additional Information

• The International Cricket Council
• The ICC is the global governing body for cricket. Representing 108 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.
• The ICC also appoints all match officials that officiate at all sanctioned international matches.
• Through the Anti-Corruption Unit, it coordinates action against corruption and match-fixing.

The correct answer is "800 m race."

Key Points

• Tintu Luka is an Indian track and field athlete. She held the national record in the 800m race.
• Indian track and field athlete Tintu Luka (born on 26 April 1989) specializes in middle-distance running competitions.
• She is the women's 800-meter national record holder and was born in Valathode, Kerala.
• Luka represented India at the 2012 and 2016 Summer Olympics. In addition to being the 2015 Asian Champion in the 800 meters, she has won a total of six medals at the Asian Athletics Championships.
• Luka also competes in sprinting events like the 400-meter dash and the 4 x 400-meter relay.
• At the 2013 and 2014 Asian Games, he was a member of the relay team that won the gold medal.
• She trains at the Usha School of Athletics in Koyilandy, Kerala, under the guidance of Indian Olympian P. T. Usha.
• She was awarded the Arjuna award, the country's second-highest sporting honour by the Government of India in 2014.

The correct answer is DBS Bank India.

In News

• In November 2020, the Union Cabinet of India approved the merger of capital-starved Lakshmi Vilas Bank (LVB) with DBS Bank India.
• The Union Cabinet, headed by Prime Minister Narendra Modi, on Wednesday approved the merger of Lakshmi Vilas Bank (LVB) with the wholly-owned subsidiary of Singapore-based DBS Bank in India.
• Following this, the government lifted restrictions on depositors regarding the withdrawal of their money from the bank.
• The 94-year-old LVB will no longer exist, and all of its equity will be lost.
• As part of the amalgamation, DBIL will infuse fresh capital of Rs 2,500 crores into LVB.

Additional Information

• Additionally, this is the first time a struggling Indian bank has been bailed out by a foreign organization in Indian history.
• DBS received 563 branches, 974 ATMs, and a $1.6 billion franchise in retail liabilities as part of the agreement.
• Previously, the RBI placed LVB under a one-month moratorium until December 16, during which time depositor withdrawals were restricted to a maximum of Rs 25,000.
• DBS was the first foreign bank to receive a banking licence after the central bank allowed foreign banks to set up a wholly-owned subsidiary in 2014.
• The proposed deal could result in a 30–40% increase in DBS's Indian assets because DBS is likely to use digital capabilities to improve its physical footprint in India.

The correct answer is Dafla Hills.

Key Points

• Dafla hills are located in the state of Arunachal Pradesh.
• Part of the Siwalik located in Arunachal Pradesh between the Subansiri River and the Kameng River that to the south of the Kamla River
• Tribes living here practice Jhuming cultivation.
• Covered with dense bamboo, pine and deodar trees.

Additional Information 

​Important hills in India

The correct answer is current prices.

Key Points

• Nominal GDP is an assessment of economic production in an economy that includes current prices in its calculations.
• Nominal Gross Domestic Product (Nominal GDP) is the total market value of all goods and services produced in a country’s economy over a given period.
• Unlike other GDP measurements, nominal GDP is not adjusted to account for price changes from inflation and deflation.
• It means that it rises and falls (usually rises) with the change in price and economic output in an economy.
• In the real world, the nominal GDP is usually used to compare GDP to other economic variables that do not adjust for inflation, including debt.

Additional Information

• Real GDP is another measurement of economic activity but differs slightly from nominal GDP in use and measurement.
• Nominal GDP is an economic measure that does not account for changes in the price level.
• In other words, it is the market value of all final goods and services in an economy over a period.
• If prices were to change, but the economic output was to remain constant, then the nominal GDP would change that is why the metric is sometimes misleading to economists and investors.
• In contrast, real GDP accounts for changes in price that may occur due to inflation or deflation.
• A simpler way to understand real GDP is to think of it as nominal GDP that’s been adjusted for changes in price.
• Real GDP will either use the prices in a base year or a GDP Deflator to account for the changes in price.
• In doing so, economists and investors can gain a better idea of the real change in economic activity in a given period.

The correct answer is Sourav Ganguly.

Key Points

• Sourav Ganguly became the brand ambassador of Bengal Peerless Housing Development Company in September 2020.
• Bengal Peerless Housing Development Company Ltd, one of the leading real estate developers in India, welcomes Sourav Ganguly as the Brand Ambassador for the company.
• Ganguly an Indian cricket administrator, commentator and former national cricket team captain and currently the 39th President of the Board of Control for Cricket in India (BCCI) will primarily lead the marvelous Avidipta II campaign.
• Sourav’s persona and global acceptance as the leader of leaders would lead to winning many matches for the company as well as for Avidipta II.

Additional Information

• Virat Kohli has partnered with the global wellness brand Hyperice as an 'athlete-investor' and brand ambassador.
• Smriti Mandhana has been appointed as brand ambassador for GUVI.
• MS Dhoni is the brand ambassador of HomeLane, Unacademy, Copter7, and Neuberg Diagnostics.

The correct answer is Second Saturday of May and October.

Key Points

• World Migratory Bird Day (WMBD) is observed on the second Saturday in May and the second Saturday in October.
• The day began in 2006 by the United Nations (UN).
• For 2022, it is being observed on May 14 and October 8.
• The day raises awareness about the problems that migratory birds face.
• “Impact of Light Pollution on Migratory Birds" is the theme of the campaign for 2022.

Additional Information

• Some important days of October:

The correct answer is constitutional framework.

Key Points

• The Nehru Report (1928) read like what it claimed to be – a constitutional document. written in a legal style containing 22 chapters and 87 articles.
• The very first article of the Report unequivocally claimed dominion status for India.
• Other notable features included a section on fundamental rights: the right to free expression and opinion, equality before the law, right to bear arms, freedom of conscience, free profession and propagation of religion.
• The most remarkable provision was the right to free elementary education.
• The Report introduced a parliamentary system of government along with universal adult suffrage.
• On the communal question, the Report proposed reservations for Muslims in legislatures, however, these were restricted to only those constituencies where Muslims were in a minority.
• Also, there was no mention of separate electorates for Muslims.

Additional Information

• The following were the recommendations advanced by the Nehru Report:

1. India should be given the status of dominion.
2. There should be a federal form of government with residuary powers vested in the centre.
3. India should have a parliamentary form of government headed by a Prime Minister and six ministers appointed by the Governor-General.
4. There should be a bi-cameral legislature.
5. There should be no separate electorate for any community.
6. The system of weightage for minorities was as bad as that of separate electorates.
7. Reservation of Muslim seats could be possible in the provinces where the Muslim population was at least ten per cent, but this was to be in strict proportion to the size of the community.
8. Muslims should enjoy one-fourth of representation in the Central Legislature.
9. Sindh should be separated from Bombay only if the Committee certified that it was financially self-sufficient.
10. The N. W. F. P. should be given full provincial status.
11. Hindi should be made the official language of India.

The correct answer is Calorie and joule.

Key Points

• Calories and joule both are the units to measure the energy.
• Scientists define energy as the ability to do work.
• Modern civilization is possible because people have learned how to change energy from one form to another and then use it to do work.
• People use energy to walk and bicycle, move cars along roads and boats through water, cook food on stoves, make ice in freezers, light our homes and offices,  manufacture products, and send astronauts into space.
• There are many different forms of energy, including Heat, Light, Motion, Electrical, Chemical, Gravitational etc.

Additional Information

The correct answer is 42.

In News

• As of December 2020, there were 42 Ramsar sites in India.
• Ramsar site is any wetland site which has been listed under the Ramsar Convention that aims to conserve it and promote sustainable use of its natural resources is called a Ramsar Site.
• Ramsar Convention is known as the Convention of Wetlands. It was established in 1971 by UNESCO and came into force in 1975.
• India is a party to the Ramsar Convention. India signed under it on 1st February 1982.

Additional Information

• Currently as of December 2022, in India, there is a total of 75 Ramsar sites.
• Sundarbans is the largest Ramsar Site in India.
• Chilika Lake (Orissa) and Keoladeo National Park (Rajasthan) were recognized as the first Ramsar Sites of India
• Taamil Nadu has the most Ramsar Sites in India.
• It has 14 Indian Wetlands.
• Renuka Wetland in Himachal Pradesh is the smallest wetland in India.

Shortcut Trick A : B : C : D = (8 × 3 × 1) : (3 × 1 × 9) : (1 × 9 × 5) : (9 × 5 × 2)

⇒ 24 : 27 : 45 : 90

⇒ (24x + 27x + 45x + 90x) = 186x

⇒ 186x = 25110

⇒ x = 135

Difference between shares of B and D = 90x - 27x = 63x

⇒ 63 × 135 = 8505.

Alternate Method

Given:

Total amount = ₹ 25110

A : B = 8 : 9

B : C = 3 : 5

C : D = 1 : 2

Concept used:

Balanced ratio

for eg : 

If A/B = 3/2 and B/C = 1/3

Here B is common which contains two different values.

∴ B needs to be equal in both ratios.

A/B = 3/2 , B/A = 1 × 2/3 × 2 = 2/6 

∴ The value of B is equal in both ratios.

Calculation:

⇒ A : B = 8 : 9

⇒ B : C = 3 × 3 : 5 × 3 = 9 : 15

⇒ C : D = 15 × 1 : 15 × 2 = 15 : 30

∴ By balancing the ratio between A, B, C, and D.

we get,

⇒ A : B : C : D = 8 : 9 : 15 : 30 (8x : 9x : 15x : 30x)

⇒ 8x + 9x + 15x + 30x = 25110

⇒ 62x = 25110

⇒ x = 405

⇒ D - B = 30x - 9x = 21x

⇒ D - B = 21 × 405 = 8505

∴ The difference between shares of B and D is ₹ 8505.

Shortcut Trick Expenditure of Renu is 150% more than her savings means,

⇒ 150/100 = 3/2

So, Let the Expenditure be 5x ( 3 + 2) and Savings be 2x

Income : Expenditure : Savings

⇒ 7x :  5x : 2x

We can assume here 7x = 70x, 5x = 50x  &  2x = 20x

According to the questions,

Income increase by 20% 

New income = 70x + (20% × 70x) = 84x

Savings increase by 50%

New savings = 20x + (50% × 20x) = 30x then,

New expenditure is (84x - 30x) = 54x

% increase in expenditure = 54x - 50x = 4x

⇒ (4x/50x) × 100 = 8%.

Alternate Method

Given:

Expenditure of Renu is 150% more than her savings.

After that, her income increases by 20% and her savings increase by 50%

Formula used:

Income = Expenditure + Savings

Calculation:

Let savings be x

According to the question,

Expenditure = x + (x × 150%)

⇒ 5x/2

Income =  Expenditure + Saving

Income = 5x/2 +  x 

⇒ 7x/2

If her income increases by 20%,

New Income = $\frac{7x}{2} +( \frac{7x}{2}×20\%)$

⇒ 21x/5

If her savings increases by 50%,

New saving = x + (x × 50%)

⇒ 3x/2

New Expenditure = 21x/5 - 3x/2 = 27x/10

Increased Expenditure = 27x/10 - 5x/2

⇒ 2x/10

Increased Expenditure(%) = ${\frac{2x}{10}\over\frac{5x}{2}}×100$

⇒ 8%

∴  The increased expenditure is 8%.

Alternate Method Let saving = 100 then expenditure = 150% 0f saving = 250

Income = saving + expenditure = 100 + 250 = 350

Income after increase 20% = 350 × 120% = 420

then saving increase by 50%, which becomes 100 × 150% = 150

then Expenditure become = 420 - 150 = 270

Increment in expenditure = 270 - 250 = 20

% increase in expenditure = 20/250 × 100 = 8%

Given:

(5 ÷ 8) of (4 ÷ 5) of 25 (152 - 132) 

Concept used:

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

Calculation:

(5 ÷ 8) of (4 ÷ 5) of 25 (152 - 132)

⇒ (5 ÷ 8) of (4 ÷ 5) of 25 (225 - 169)

⇒ (5 ÷ 8) of (4 ÷ 5) of 25 (56)

⇒ (5 ÷ 8) of (4 ÷ 5) of 1400

⇒ (5/8) × (4/5) × 1400

⇒ 700

∴ The value is 700.

Concept used:

LCM method to find a number.

Calculation:

LCM of 3, 5, 7, 9 = 315

Now, we know least four digit number is 1000

If we divide 1000 by 315 we get 55 as remainder

⇒ 315 - 55 = 260

So the number is = 1000 + 260 = 1260

 ∴  The Required answer is 1260.

Given:

Numbers divisible by 6 between 7 and 50: 12, 18, 24, 30, 36, 42, 48

Prime numbers between 10 and 45: 11, 13, 17, 19, 23, 29, 31, 37, 41, 43

Formula used:

Average = (First + Last) ÷ 2 for AP

Average = Sum ÷ Count

Calculations:

For numbers divisible by 6: 12, 18, 24, 30, 36, 42, 48

Count = 7

⇒ Average = $\dfrac{12+48}{2}$ = $\dfrac{60}{2}$ = 30

For primes between 10 and 45:

Sum = 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 = 264

Count = 10

⇒ Average = $\dfrac{264}{10}$ = 26.4

Difference = (Average of divisible-by-6) − (Average of primes)

⇒ Difference = 30 − 26.4 = 3.6

∴ The correct answer is 3.6.

Given:

Area of base of right circular cone = 7546 cm²

Height = 15 cm

Concept used:

Volume of cone = (1/3) πr²h

The base area of cone = πr² where,

Height = h and Radius = r

Calculation:

Area of base of right circular cone = 7546 cm2

πr² = 7546

⇒ r² = 2401

⇒ r  = 49

Volume of cone = (1/3) π $×$ 49² × 15 

⇒ 1/3 × 22/7 × 49 × 49 × 15 = 37730

∴  The volume of the cone is 37730.

Shortcut Trick

Ratio of Cost Price (CP) to Selling Price (SP) per unit:

CP = ₹24,000

SP = 2,26,560 ÷ 8 = ₹28,320

Ratio CP : SP = 24,000 : 28,320 = 100 : 118

Profit = 118 − 100 = 18 units on a base of 100.

∴ The correct answer is Profit 18%.

Alternate Method

Given:

Number of TV sets = 8

Cost Price (CP) of each set = ₹24,000

Total Selling Price (SP) of 8 sets = ₹2,26,560

Formula Used:

Total CP = Number of items × CP per item

Profit = Total SP − Total CP

Profit % = (Profit ÷ Total CP) × 100

Total CP: ₹1,92,000

Total SP: ₹2,26,560

Profit: ₹34,560 Net Change = +18%

Calculations:

⇒ Total Cost Price (CP) = 8 × 24,000 = ₹1,92,000

⇒ Total Profit = 2,26,560 − 1,92,000 = ₹34,560

⇒ Profit Percentage = (34,560 ÷ 1,92,000) × 100

⇒ Profit Percentage = 3,456,000 ÷ 1,92,000 = 18%

∴ The correct answer is Profit 18%.

Additional Information

Profit and Loss Basics

Profit = SP − CP (when SP > CP). Loss = CP − SP (when CP > SP).

Percentage Calculation

Profit % = (Profit ÷ CP) × 100 and Loss % = (Loss ÷ CP) × 100. Both are always calculated on Cost Price.

Selling Price Formula

SP = CP × (100 + Profit %) ÷ 100 or SP = CP × (100 − Loss %) ÷ 100.

Given:

3/5 of a number = 54

Calculation:

Let the number be X

According to the questions,

(3/5) × X = 54

⇒ X = 90

Now, (2/9) of the number 

⇒ X × 2/9

⇒ 90 × (2/9) = 20

∴The Required answer will be 20.

Shortcut Trick

Total Work = LCM(20, 35, 60) = 420 units | Efficiencies: A = 21, B = 12, C = 7.

If B and C stayed till the end, additional work = (12 × 8) + (7 × 12) = 96 + 84 = 180 units.

Total time to finish work = (420 + 180) ÷ (21 + 12 + 7) = 600 ÷ 40 = 15 days.

Since C left 12 days before completion, C worked for 15 − 12 = 3 days, which is the exact duration all three worked together.

∴ The correct answer is 3 days.

Alternate Method

Given:

Time taken by A alone = 20 days

Time taken by B alone = 35 days

Time taken by C alone = 60 days

B left 8 days before completion and C left 12 days before completion.

Concept / Formula Used:

Total Work = LCM of given individual times.

Efficiency = Total Work ÷ Days

Calculations:

⇒ Let the total time to complete the work be x days.

⇒ A worked for the entire x days.

⇒ B worked for (x − 8) days.

⇒ C worked for (x − 12) days.

⇒ Total work = Work done by A + Work done by B + Work done by C

⇒ 420 = 21x + 12(x − 8) + 7(x − 12)

⇒ 420 = 21x + 12x − 96 + 7x − 84

⇒ 420 = 40x − 180

⇒ 40x = 600

⇒ x = 15 days

⇒ The work was completely finished in 15 days.

⇒ Since C left 12 days before the completion, C worked for 15 − 12 = 3 days.

⇒ All three worked together only as long as C was present, which means they worked together for exactly 3 days.

∴ The correct answer is 3 days.

Additional Information

Work and Wages

Wages are always distributed in proportion to the total work done by each individual. If individuals work for the same total duration, wages are divided strictly in the ratio of their efficiencies.

Alternate Day Work

When individuals work on alternate days, calculate the total work done in a complete cycle (e.g., A + B combined over 2 days) and approach the total work using multiples of this cycle period.

Pipes and Cisterns

The concept remains fundamentally identical to Time and Work. The only specific variation is that an emptying pipe (outlet) possesses a negative efficiency, while a filling pipe (inlet) possesses a positive efficiency.

Given:

a = 15

b = 45

Concept used:

If a : b  = b : c then b² = ac  where,

b is said to be the mean proportional to  a and c,

And, c is third proportional to a and b.

Calculation:

According to the questions,

⇒ c = b²/a

⇒ c = $\frac{45 × 45}{15}$

⇒ c = 3 × 45 = 135

∴ The third proportional is 135.

Given:

Equilateral Triangle side (a) = 12m

Concept used:

Perimeter of equilateral triangle = 3a

Calculation:

According to the questions,

Perimeter = 3 × 12 = 36

Total Fencing cost = 36 × 4.50 = 162

∴ The total fencing cost is Rs 162.

Given:

The MP is 50% above the CP

After three successive discounts of 10%, 15% and 20% loss is Rs. 410.

Concept:

If there are three successive discounts of a%, b% and c% on MP

⇒ SP = $MP × \frac{(100 - a)}{100}×\frac{(100 - b)}{100}× \frac{(100 - c)}{100}$

Formula used:

Loss = CP - SP

Calculation:

Let CP be 100x

⇒ MP = 150x

After three successive discounts of 10%, 15% and 20% on MP

SP = 150x × (90/100) × (85/100) × (80/100)

⇒ 150x × (9/10) × (17/20) × (4\5) = 459x/5

∴ SP = 459x/5

Also loss = 410

⇒ 100x - 459x/5 = 410

⇒ 41x/5 = 410

⇒ x = 50

⇒ SP = (459 × 50)/5 = Rs. 4590  

Hence SP is 4590.

Given:

The average of 12 numbers is 38

The average of the first three numbers, the next four numbers, and further next two numbers are 33, $35\frac{1}{2}$, and 40 respectively

Formula used:

Sum of the numbers = Average × numbers

Calculation:

The sum of 12 numbers = 38 × 12 = 456

Sum of the first three numbers = 33 × 3 = 99

Sum of the next four numbers = 71/2 × 4 = 142

Sum of the next two numbers = 40 × 2 = 80

The total sum of 9 numbers = 99 + 142 + 80 = 321

Sum of the remaining three numbers = 456 - 321 = 135

Now let the tenth numbers be x

So, The 11^th number and the 12^th number are (x + 4) and (x + 5) respectively

⇒ x + (x + 4) + (x + 5) = 135

⇒ 3x + 9 = 135

⇒ x = 42

⇒ The 12^th number = 42 + 5 = 47

∴ The correct answer is 47.

Shortcut TrickLoss is 15% when SP is Rs. 5,270

⇒ 5270 = 85% of CP

⇒ 6324 = 85/5270 × 6324 = 102% of CP

⇒ Second SP(6324) is 102% of CP

∴ There will be a profit of 2%

Alternate MethodGiven:

First SP = Rs. 5,270

Loss incurred = 15%

Second SP = Rs. 6,324

Formula used:

CP = SP × 100/(100 - Loss%)

Profit = SP - CP

Profit% = (Profit/CP) × 100

Calculation:

According to the questions,

Loss is 15% when SP is Rs

So, CP = 5270 × 100/(100 - 15) = Rs. 6200

When the article is sold at Rs. 6,324

Profit = 6324 - 6200 = 124

Profit% = (124/6200) × 100 = 2%

∴ The profit percentage is 2%

Shortcut Trick

Total time difference for P when speed doubles = 6 + 2 = 8 hr.

Speed ratio for P is 1 : 2 → Time ratio is 2 : 1.

Difference in time units = 2 − 1 = 1 unit → 8 hr.

Initial time taken by P = 2 units = 2 × 8 = 16 hr.

Time taken by Q for 96 km = 16 − 6 = 10 hr.

Time taken by Q for 48 km = 10 ÷ 2 = 5 hr.

∴ The correct answer is 5 hr.

Alternate Method

Given: Total distance = 96 km. Let speed of P be s_P and speed of Q be s_Q.

Formula: Time = Distance ÷ Speed

⇒ Case 1: (96 ÷ s_P) − (96 ÷ s_Q) = 6 --- (Equation 1)

⇒ Case 2: (96 ÷ s_Q) − (96 ÷ (2 × s_P)) = 2 --- (Equation 2)

⇒ Adding Eq 1 and Eq 2: (96 ÷ s_P) − (48 ÷ s_P) = 6 + 2

⇒ 48 ÷ s_P = 8

⇒ s_P = 48 ÷ 8 = 6 kmph

⇒ Substitute s_P in Eq 1: (96 ÷ 6) − (96 ÷ s_Q) = 6

⇒ 16 − (96 ÷ s_Q) = 6

⇒ 96 ÷ s_Q = 10 hr (Time taken by Q for 96 km)

⇒ Time for 48 km = (Time for 96 km) ÷ 2 = 10 ÷ 2 = 5 hr.

∴ The correct answer is 5 hr.

Additional Information

Speed-Time Relationship

For a constant distance, Speed is inversely proportional to Time (S ∝ 1/T). If speed becomes n times, time becomes 1/n times.

Average Speed Formula

When two equal distances are covered at speeds x and y, Average Speed = (2 × x × y) ÷ (x + y).

Relative Speed

For two objects moving in the same direction, Relative Speed = |s₁ − s₂|. In opposite directions, Relative Speed = s₁ + s₂.

Given:

Simple interest = Principal × $4\over25$

Number of rate percent = time in year

Formula used:

S.I. = P × r × t / 100 where,

Principal = P, Rate = r, Time = t, and Simple interest = S.I

Calculation:

Let, the principal be 100.

According to the questions,

Then, S.I. = 100 × $4\over25$ = 16

And time = x year, rate = x%

S.I. = P × r × t / 100

⇒ 16 = 100 × x × x /100

⇒ x² = 16

⇒ x = 4

∴ Time = 4 years and rate = 4%.

Given:

P = 20,000 

R = 4.5%

T = 3 year

Formula used:

CI = P (1 + r / 100)n - P

S.I. = P × t × r/100 where,

Compound interest = C.I, Simple interest = S.I, Principal = P, Rate = r,

and Time = t.

Calculation:

S.I. = P × t × r/100

⇒ 20,000 × 4.5 × 3/100 

⇒ S. I. = Rs. 2700 

Again,

CI = P (1 + r / 100)ⁿ - P

⇒ 16000 (1 + 5 / 100)² - 16000

⇒ 16000 (105 / 100)² - 16000

⇒ 16000 × (21 / 20)² - 16000

⇒ 16000 × (441 / 400) - 16000

⇒ 40 × 441 - 16000

⇒ 17640 - 16000 = Rs.1640

Difference between Interest of both cases =  2700 - 1640

⇒ Rs.1060 

∴The difference between the Interest of both cases is Rs.1060

Shortcut Trick

Profit on 1 pencil = (SP of 1 pencil) − (CP of 1 pencil)

Profit on 1 pencil = (54 ÷ 9) − (35 ÷ 10) = 6 − 3.5 = &inr;2.5

Total number of pencils = Total Profit ÷ Profit per pencil

Total pencils = 350 ÷ 2.5 = 140

∴ The correct answer is 140 pencils.

Alternate Method

Given:

Cost Price (CP) of 10 pencils = &inr;35

Selling Price (SP) of 9 pencils = &inr;54

Total profit gained = &inr;350

Calculations:

⇒ CP of 1 pencil = 35 ÷ 10 = &inr;3.5

⇒ SP of 1 pencil = 54 ÷ 9 = &inr;6

⇒ Profit earned on 1 pencil = SP − CP = 6 − 3.5 = &inr;2.5

⇒ Total number of pencils = Total profit ÷ Profit on 1 pencil

⇒ Total number of pencils = 350 ÷ 2.5

⇒ Total number of pencils = 140

∴ The correct answer is 140 pencils.

Additional Information

Basic Profit and Loss

Profit = SP − CP | Profit % = (Profit ÷ CP) × 100.

Unitary Method

Finding the value of a single unit first (CP and SP of 1 item) simplifies comparing varying quantities.

LCM Method

Instead of the unitary method, making quantities equal by taking the LCM of given items (e.g., LCM of 9 and 10 is 90) helps avoid decimal calculations.

Given:

Rate of interest: 12%

Total time: 16 months

Compound interest: 3494.40

Compounded 8 monthly

Concept used:

Golden ratio for 2-year compound interest ratio = 2 : 1

Amount = Principal × (1 + Rate/100)ⁿ

Calculation:

According to the questions,

Principal compounded 8 monthly

So, rate is = ($8 \over 12$) × 12 % = 8 %

In 16 month principal compounded 2 times.

For 16 month total rate = 8 + 8 +$(8 × 8) \over 100$ % = 16.64 %

So, 16.64 % = 3494.40

100 % =  $3494.40 \over 16.64$ × 100 = 21000

So, the principal is 21000

So the Amount for 2 years at the rate of 12 % compounded annually

Amount = 21000 × (1 + 12/100)²  

⇒ 21000 × 112/100 × 112/100  = 26342.40

∴ The amount is Rs.26342.40

Shortcut Trick

Total Cost = ₹71,820 for 15 grams.

Cost per gram (including charges) = 71820 ÷ 15 = ₹4788.

Charges = 12%. Original price = 100%. Total = 112%.

112% → 4788. Therefore, 100% → (4788 ÷ 112) × 100 = 42.75 × 100 = ₹4275.

∴ The correct answer is ₹4275.

Alternate Method

Given:

Total Weight = 15 grams

Total Amount Paid = ₹71,820

Additional Charges (GST + Making) = 12%

⇒ Let the Original Price per gram be ₹X.

⇒ Price of 15 grams = 15X.

⇒ Price including charges = 15X × (112/100) = 71820.

⇒ 15X × 1.12 = 71820.

⇒ 16.8X = 71820.

⇒ X = 71820 ÷ 16.8.

⇒ X = 4275.

∴ The correct answer is ₹4275.

Additional Information

Percentage Increase Formula

Final Value = Original Value × (100 + Increase %)/100. This is used for GST and tax calculations.

Successive Percentage

If two charges are applied sequentially, the effective rate is a + b + (ab/100), though here they are given as a combined 12%.

Reverse Percentage

To find the base value from a taxed amount: Base = Taxed Amount ÷ (1 + Rate/100).

Given:

Distance = 1800 m

Time = 5 min

Formula used:

Speed = Distance/Time

Calculation:

According to the questions,

Distance = 1800 m = 1.8 km

Time = 5 min = 5/60 hr

Speed = $\frac{1.8}{5\over60}$ km/hr

⇒ 21.6 km/hr

∴ The Speed is  21.6 km/hr.

Shortcut TrickLet the MP be 100, Discount = 12.5 then SP = 100 - 12.5 = 87.5

MP = 1225/87.5 × 100 = 1400

Discount = 1400 × 9.5% = 133

SP = MP - Discount

SP = 1400 - 133 = Rs.1267

Alternate MethodGiven:

An article was sold for Rs 1225 after allowing a discount of 12.5%

If 9.5% discount is given then how much will it be sold

Formula used:

SP = $\frac{MP}{100}(100 - D)$ 

SP = MP - Discount

SP = Selling price, MP = Marked price, & D = Discount

Calculation:

SP = $\frac{MP}{100}(100 - D)$

⇒ $\frac{MP}{100} (100 - 12.5)$ = 1225

⇒ $\frac{MP}{100}(87.5)$ = 1225

⇒ MP = 1400

Now, If the discount is 9.5% then, 

SP = $\frac{1400}{100}(100 - 9.5)$

⇒ SP = 14× 90.5

⇒ SP = 1267

∴ An article was sold for ₹1267 after allowing a discount of 9.5%.

Given:

Rs. 8505 is divided among P, Q and R

Ratio = $1\frac{1}{3}: 1\frac{3}{4}:2\frac{1}{6}$

Calculation:

Ratio = $1\frac{1}{3}:1\frac{3}{4}:2\frac{1}{6}$

⇒ $\frac{4}{3}:\frac{7}{4}:\frac{13}{6}$

Multiplying the ratios by LCM of (3, 4, 6) = 12

⇒ ${4\over3}\times12:{7\over4}\times12:{13\over6}\times12$

⇒ 16 : 21 : 26

Let the ratio factor be x

⇒ P = 16x, Q = 21x, R = 26x

⇒ 16x + 21x + 26x = 8505

⇒ 63x = 8505

⇒ x = 135

⇒ P = 16x = 2160

⇒ Q = 21x = 2835

⇒ R = 26x = 3510

⇒ R - P = 3510 - 2160 = 1350

∴ The difference of P and R's shares is Rs. 1350

Given:

 A can complete work in 28 hours 

 B can complete one-fourth of the time taken by A

Concept used:

Total Time = Total work / Total efficiency 

Calculation:

According to the questions,

A can complete total work in 28 hours

B can complete the same work 1/4 of time taken by A 

⇒ 1/4 × 28 = 7 hours then,

Total work = LCM of 28 and 7 = 28 units

Efficiency of A = 28/28 = 1 unit

Efficiency of B = 28/7 = 4 unit

Time = 28/(1 + 4) = 28/5 hours 

⇒ 28/5 = 5 hour 36 minutes

∴ A and B completed the total work in 5 hour 36 min.

Given:

$\rm \frac{1}{4} ÷ 4\frac{2}{9} \ of \ \frac{9}{19} + (\frac{5}{4} - \frac{3}{8}).$

Concept used:

Follow the BODMAS rule according to the table given below:

Calculation:

⇒ $1\over4$ ÷ $38\over9$ of $9\over 19$ + ($10 - 3\over 8$ )

⇒ $1\over4$ ÷ 2 + ($7\over 8$ )

⇒ $\frac{1}{4} \times \frac{1}{2}$ + $7\over 8$ 

⇒ $\frac{1+7}{8}$

⇒ 8/8

⇒ 1

∴ The value is 1.

The correct answer is enable.

Key Points

• Enable: to make it possible for somebody/something to do something.
• Example: Digitalisation has enabled us to save a lot of resources.
• The word enable has been used here in the sense that note-making helps in organizing one's thoughts in a better way.
• The word that must be filled in the blank should be a 'verb' it is preceded by a helping verb 'will'.
• Thus, the most appropriate option to fill in the blank is Option 2.

Additional Information

• Capable: having the ability or qualities necessary to do something.
• Disable: to make somebody unable to use part of his/her body properly.
• Adjustable: that can be adjusted.

The correct answer is caused much damage.

Key Points

• The sentence is given in Simple Past tense.
• 'Did' is followed by the first form of the verb (here, cause).
• Subject + did not + V1 + Object.
• Example: I did not cook food last night.
• 'Caused much damage' should be replaced by 'cause much damage'.
• Therefore, the segment that contains a grammatical error is 'caused much damage'.
• Thus, the correct answer is Option 1.

<br>

Correct Sentence: Fortunately, the fire did not cause much damage to the building.

The correct answer is Occupy space.

Key Points

• Take up room: ​to fill or occupy space.
• Example: The dining table is taking up too much room in our drawing room.
• Thus, the most appropriate meaning of the given idiom is 'Occupy space'.
• Therefore, the correct answer is Option 3.

The correct answer is nice than.

Key Points

• The comparative degree of 'nice' should be used here.
• When two items/people are compared, a comparative degree is used by putting ‘er’ to the adjective word in association with the word ‘than’.
• Example: Urvashi is smarter than her sister.
• 'Nice than' should be replaced by 'nicer than'.
• Thus, the correct option is Option 4.

<br>

Correct Sentence: This apartment is nicer than that one.

The correct answer is Dull.

Key Points

• Dull: not interesting or exciting; boring.
• Keen: very interested in something.
• Thus, the most appropriate antonym for 'dull' is 'keen'.

Additional Information

• Potent: strong or powerful.
• Charitable: kind; generous.
• Tender: kind and loving.

The correct answer is Release.

Key Points

• Possess: to have or own something.
• Release: to allow somebody/something to be free.
• Hence, the most appropriate antonym for 'Possess' is 'Release'.

Additional Information

• Maintain: to keep something in good condition by checking and repairing it regularly.
• Obtain: to get something.
• Occupy: to fill a space or period of time.

The correct answer is 'imitate'.

Key Points

• Imitate: to copy the behaviour of somebody/something.
• Example: My younger sister always tries to imitate me.
• In the given context, the little girl tried to sing like the singer. She tried to copy the way the singer sang.
• ​Hence, the most appropriate option to fill in the blank is Option 1.

<br>

Correct Sentence: The little girl tried to imitate the singer.

Additional Information

• Imply: to suggest something in an indirect way or without actually saying it.
• Languish: to lose strength or energy and not make any progress in something.
• Emit: to send out something, for example, a smell, a sound, smoke, heat, or light.

The correct answer is Abbreviation.

Key Points

• Abbreviation: a short form of a word or phrase.
• Example: USA is the commonly used abbreviation for the United States of America.
• Hence, the correct option that can be used as a one-word substitute for the given group of words is Option 3.

Additional Information

• Punctuation: the marks used for dividing writing into sentences and phrases.
• Connotation: an idea expressed by a word in addition to its main meaning.
• Allocation: the act or process of giving out parts of a whole.

The correct answer is Quack.

Key Points

• Quack: ​the sound that a duck makes.
• Example: People could hear the ducks quacking.
• Hence, the correct option that can be used as a one-word substitute for the given group of words is Option 3.

Additional Information

• Moo: the characteristic deep call of cattle.
• Caw: the harsh cry of a rook, crow, or similar bird.
• Grunt: the sound made by camels.

The correct answer is Enough.

Key Points

• Sufficient: as much as is necessary; enough.
• Enough: as much or as many of something as necessary.
• ​Thus, the most appropriate synonym for 'Sufficient' is 'Enough'.

Additional Information

• Lacking: not having enough of something.
• Large: big.
• Deficient: not having enough of something.