SSC GD Constable Previous Year Paper (Held on: 7th December 2021 Shift 2)

The logic followed here is:

Logic: In a row: First Number + Third Number = Second Number

• 12 + 18 = 30
• 18 + 27 = 45

Similarly,

• 24 + 24 = 48

Hence, '48' is the correct answer.

The correct mirror image of the given figure when the mirror is placed to the right side of the figure is shown below:

Hence, 'option 3' is the correct answer.

The logic followed here is:

Hence, 'XVIGRURVW' is the correct answer.

The logic followed here is:

(2^nd number)² = 1^st number + 9

153 : 12

⇒ 12² = 144; 144 + 9 = 153.

for, 205 ∶ 14

⇒ 142 = 196; 196 + 9 = 205.

Similarly, for ? : 17

⇒ 172 = 289; 289 + 9 = 298.

Hence, the correct answer is "298".

The logic followed here is:

Hence, '48' is the correct answer.

The logic followed here is:

Similarly,

Hence, 'QEI' is the correct answer.

The logic followed here is:

1. UQN → U - 4 = Q; Q - 3 = N
2. GCY → G - 4 = C; C - 4 = Y
3. JFB → J - 4 = F; F - 4 = B
4. OKG → O - 4 = K; K - 4 = G

Hence, 'UQN' is the odd one out.

The least possible Venn diagram is:          

Conclusions:

Ⅰ. All tigers are animals. → Follows (As, All tigers are lions and All lions are animals)

Ⅱ. No tigers is a bird. → Do not follow (As, bird is not given in the statement, the relation between bird and tiger cannot be determined)

Hence, only conclusion I follows.

The logic followed here is:

Hence, 'IJN' is the correct answer.

The paper when unfolded will appear as shown below:

Hence, 'option 2' 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:

4. Ceramic 
5. Cerebral 
6. Ceremony
7. Certain
8. Certify

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

The logic followed here is:

• 'Chair’ is related to ‘Wood’ → Chair is made up of wood.

Similarly,

• 'Blanket’ is related to '______' → Blanket is made up of wool.

Hence, 'Wool' is the correct answer.

Given equation: 30 + 28 - 34 ÷ 2 × 4 = 2

1. 28 and 34

30 + 34 - 28 ÷ 2 × 4 = 2

⇒ 30 + 34 - 14 × 4 = 2

⇒ 30 + 34 - 56 = 2

⇒ 64 - 56 = 2

⇒ 8 ≠ 2 

2. 34 and 4

30 + 28 - 4 ÷ 2 × 34 = 2

⇒ 30 + 28 - 4 ÷ 2 × 34 = 2

⇒ 30 + 28 - 2 × 34 = 2

⇒ 30 + 28 - 68 = 2

⇒ 58 - 68 = 2

⇒ -10 ≠ 2

3. 30 and 34

34 + 28 - 30 ÷ 2 × 4 = 2

⇒ 34 + 28 - 15 × 4 = 2

⇒ 34 + 28 - 60 = 2

⇒ 62 - 60 = 2

⇒ 2 = 2

4. 4 and 2

30 + 28 - 34 ÷ 4 × 2 = 2

⇒ 30 + 28 - 8.5 × 2 = 2

⇒ 30 + 28 - 17 = 2

⇒ 58 - 17 = 2

⇒ 41 ≠ 2

Hence, '30 and 34' is the correct answer.

The logic followed here is:

Hence, '10' is the correct answer.

Eight friends P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre.

1. T is third to the left of U. 2. Only Q is between S and T.

 Case -I

 Case -II

3. P is fourth to the left of S.

Case -I

<br>

Case -II

4. V is second to the right of R.

The above condition cannot be satisfied in Case II, so it is eliminated.

Case -I

As W is the only person left, it will occupy the vacant position.

Case -I

Clearly, V is is sitting between P and T.

Hence, 'V' is the correct answer.

Five friends are sitting in a row facing north.

1. G is sitting to the immediate right of I.
2. If H and I are sitting next to each other. 3. F is sitting to the immediate left of H, but to the immediate right of E.

Clearly, H is sitting in the centre.

Hence, 'H' is the correct answer.

The logic followed here is:

‘CANDLE’ is coded as ‘52144113’

Similarly, for QUIET:

So, 'QUIET' will be coded as '02591271'.

Hence, the correct answer is "Option 1".

Given sequence: E_ _CD _ H J _ _ E H _ _ D

1. H, E, C, D, C, J, C → E H E C D - C H J D C - E H J C D
2. H, J, C, E, C, E, H → E H J C D - C H J E C - E H E H D
3. H, J, E, C, D, J, C → E H J C D - E H J C D - E H J C D
4. H, C, E, J, D, C, E → E H C C D - E H J J D - E H C E D

• In option 3, EHJCD is repeated.

Hence, 'H, J, E, C, D, J, C' is the correct answer.

The logic followed here is:

Similarly,

Hence, 'LHMC' is the correct answer.

Let the number be 'a'.

According to question:

a + (a - 1) + 2(a - 1) = 61

⇒ a + a - 1 + 2a - 2 = 61

⇒ 4a - 3 = 61

⇒ 4a = 61 + 3

⇒ 4a = 64

⇒ a = 64 ÷ 4

⇒ a = 16

Hence, '16' is the correct answer.

The image embedded in given figure is as shown below:

Hence, 'option 4' is the correct answer.

Using the symbols in the table below, we can draw the following family tree:

B is the brother-in-law of J.

Hence, 'brother-in-law' is the correct answer.

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

Hence, 'option 4' is the correct answer.

Explanation:

4 and 2 are the common faces in 2nd and 3rd dice, so it is clear that 6 is opposite to 3.

Hence, '6' is the correct answer.

Given:

15 students study both history and psychology.

22 students study history

and 32 students study psychology.

12 students who study only physics.

The possible Venn diagram for the given statement is:

students study only history = 12,

students study only physics = 7.

So, the total number of students who study only history and only physics = 12 + 7 = 19.

Hence, the correct answer is "19".

The correct answer is 299.

Key Points

• Constituent Assembly 
• A constituent assembly was first proposed by M N Roy in 1934.
• The Constituent Assembly's momentous work of drafting the Constitution took nearly three years to complete.
• It held eleven sessions over a total of 165 days throughout this time.
• 114 of those days were used to consider the Draft Constitution.
• According to the system advised by the Cabinet Mission, members were chosen by indirect election by the members of the Provincial Legislative Assemblies.
• Specifically, 93 members represented the Indian Princely States, 4 members represented the Chief Commissioners' Provinces, and 292 members were chosen through the Provincial Legislative Assemblies.
• Thus, there would be 389 people in the Assembly as a whole.
• A separate Constituent Assembly was established for Pakistan as a result of the partition under the Mountbatten Plan of June 3, 1947.
• Representatives of several Provinces ceased to be members of the Assembly.
• As a consequence, there were 299 members left in the Assembly.

Additional Information

• The Indian Constitution is the country's highest law.
• It is the world's longest-written national constitution.
• On November 26, 1949, the Indian Constituent Assembly approved it.
• It went into effect on January 26, 1950.
• The Government of India Act of 1935 was superseded by the constitution as the primary law governing the nation.
• The Republic of India replaced the Dominion of India.
• Article 395 of the constitution was repealed by its framers to secure constitutional autochthony.
• Republic Day, which is observed on January 26, honours India's constitution.
• India is proclaimed to be a sovereign, socialist, secular, and democratic republic in the constitution.
• It also guarantees its citizens justice, equality, and liberty while working to foster fraternity.
• At the Parliament House in New Delhi, the original 1950 constitution is kept in a nitrogen-filled case.
• The 42nd amendment act, passed in 1976 during the Emergency, added the phrases "secular" and "socialist" to the preamble.

The correct answer is Volley Ball.

Key Points

• Cricket, rugby union, football, volleyball, athletics, and tennis are among the most popular sports in Sri Lanka.
• Volleyball
• Volleyball is the national sport of Sri Lanka.
• The major volleyball regulatory body in Sri Lanka is called the Sri Lanka Volleyball Federation (SLVF).
• R. W. Camack, then the Colombo Y.M.C.A.'s Director of Physical Education, brought volleyball to Sri Lanka in 1916.
• The Federation is composed of 99 associated organisations and is run by a 25-person honorary council.
• The current president of SLVF is Kanchana Jayarathna, the chairman of Sabaragamuwa Provincial Council and the current secretary general is A. S. Nalaka.
• It is affiliated with the Asian Volleyball Confederation and the Federation Internationale de Volleyball internationally.
• It has the approval of the **National Olympic Committee (NOC) of Sri Lanka. **​

Additional Information

• Sri Lanka:
• National bird - Ceylon junglefowl
• National language - Sinhala / Tamil
• National flower - Water lily flower
• National tree - Ceylon ironwood
• National butterfly - Sri Lankan birdwing
• National anthem - Sri Lanka Matha
• President - **Ranil Wickremesinghe (**succeeded Gotabaya Rajapaksa)
• Prime minister - Dinesh Gunawardena​

The correct answer is Project Dolphin.

Key Points

• Project Dolphin
• 2019 saw the National Ganga Council give preliminary clearance to Project Dolphin.
• Project Dolphin is one of the activities planned as part of Arth Ganga, the government's ambitious inter-ministerial initiative.
• Project Dolphin will resemble Project Tiger, which helped boost the number of tigers.
• The Ministry of Environment, Forests and Climate Change will presumably implement it.
• The Gangetic Dolphin, a national aquatic species and an indicator species for the Ganga River that flows through numerous states, requires a special conservation program.
• Indicator species are living things, typically bacteria or plants, that act as proxies for the local environment.
• Because the Gangetic dolphin is at the top of the food chain, preserving the species and its habitat will guarantee the survival of the aquatic life in the river.
• A dolphin conservation campaign was started in 2016 by the National Mission for Clean Ganga (NMCG) to guarantee the long-term survival of dolphins and other river wildlife.

Additional Information

• Namami Gange:
• Namami Gange Programme is an Integrated Conservation Mission.
• It is approved as a ‘Flagship Programme’ by the Union Government in June 2014.
• It has a budget outlay of Rs.20,000 Crore,
• The goal of effective abatement of pollution, conservation, and rejuvenation of the National River Ganga.
• The main pillars of the Namami Gange Programme are:-
• Sewerage Treatment Infrastructure
• River-Front Development
• River-Surface Cleaning
• Bio-Diversity
• Afforestation
• Public Awareness
• Industrial Effluent Monitoring
• Ganga Gram

The correct answer is Tamil Nadu.

Key Points

• The first and only state in India to require rooftop rainwater collecting is Tamil Nadu.
• All new buildings must now have rain water harvesting structures thanks to changes made to Section 215(a) of the Tamil Nadu District Municipalities Act, 1920, and the 1973 Building Rules.
• Rainwater Harvesting:
• The process by which rainwater is collected from roof catchments and stored in reservoirs is known as rooftop rain water harvesting.
• By using artificial recharge techniques, collected rainwater can be stored in subsurface ground water reservoirs to provide the demands of the family through tank storage.

Additional Information

• The villages of Arittapatti and Meenakshipuram in the Madurai district have recently been designated as the first biological heritage site in Tamil Nadu by the state government's recent notice.
• The first multi-modal logistics park (MMLP) in India will be built by Reliance Industries Limited (RIL) close to Chennai, Tamil Nadu.
• It is a Rs.1,424 project.
• It will be implemented under the PM Gati Shakti National Master Plan, which was launched in October 2021.
• The model concession agreement for this project is on a Design, Build, Finance, Operate, and Transfer (DBFOT) model.
• The project has a 45-year total concession period.
• With an expected developer investment of Rs.783 crore, the MMLP would be completed in three phases.
• By 2025, the initial phase will be finished.

The correct answer is Aedes.

Key Points

• ​The mosquito genus Aedes was first discovered in the tropical and subtropical regions.
• Johann Wilhelm Meigen gave the genus its name in 1818.
• The generic name, aedes, means "odious" or "unpleasant" in Ancient Greek.
• Dengue virus, yellow fever virus, chikungunya virus, and Zika virus are all known to be transmitted by Aedes aegypti.
• They have distinct markings on their body and legs in black and white.
• They only bite during the daylight when they are active.

Additional Information

• Anopheles:
• J. W. Meigen initially identified and named the mosquito genus Anopheles in 1818.
• Malaria can only be spread by Anopheles mosquitoes.
• Culex:
• Culex are also referred to as common house mosquitoes.
• The viruses that cause West Nile fever, St. Louis encephalitis, Japanese encephalitis, as well as viral infections of birds and horses, are conveyed mostly by these carriers.
• Mansonides:
• Mansonides carries filarial worms and produces larvae and pupae that get their oxygen from plants submerged in water.
• Venezuelan equine encephalitis is known to be spread by Mansonia titillans in the southern United States, Central America, and South America.

The correct answer is Narmada.

Key Points

• Narmada
• The Narmada River is also referred to as the Reva, and it was formerly called Narbada or Nerbudda in English.
• It is the fifth-longest river in India and the longest river that flows west altogether.
• It is also the state of Madhya Pradesh's greatest flowing river.
• This river traverses the Indian states of Gujarat and Madhya Pradesh.
• It is also known as the "Life Line of Madhya Pradesh and Gujarat."
• The Narmada River rises from the Amarkantak Plateau in Anuppur district Madhya Pradesh.
• It runs westward across a distance of 1,312 km, forming the historic border between North India and South India, before draining through the Gulf of Khambhat into the Arabian Sea .​​

Additional Information

• Krishna:
• It has its beginnings in the Western Ghats, close to Mahabaleshwar, in Maharashtra, at a height of roughly 1,300 meters.
• The Krishna is the second largest east-flowing Peninsular river which rises near Mahabaleshwar in Sahyadri. Its total length is 1,401 km.
• The Koyna, the Tungbhadra, and the Bhima are its major tributaries
• It travels east from Mahabaleshwar to the town of Wai before emptying into the Bay of Bengal.
• It passes through the Indian states of Maharashtra, Karnataka, Andhra Pradesh, and Telangana.
• Kaveri:
• It originates at Talakaveri in the Brahmagiri range in the Western Ghats, Kodagu district of the state of Karnataka, at an elevation of 1,341 meters above mean sea level.
• It then travels for about 800 kilometers until emptying into the Bay of Bengal.
• Godavari:
• Trimbakeshwar, in Nashik, Maharashtra, is where it originates.
• It drains the states of Maharashtra, Telangana, Andhra Pradesh, Chhattisgarh, and Odisha as it travels 1,465 kilometers east.
• In the end, the river flows into the Bay of Bengal.

​

The correct answer is 1920.

Key Points

• The Second World Congress of the Communist Third International(1920) laid the foundation for the creation of an émigré Communist Party of India.
• A subcommittee called the "Small Bureau" was established by the Comintern Executive Committee (ECCI) to start the procedure.
• In order to combat imperialism in Asia, the Bureau organized the First Congress of the Peoples of the East in Baku in September 1920.
• The Communist Party of India was subsequently founded on October 17, 1920, in Tashkent.
• The seven members were M. N. Roy, Evelyn Roy-Trent, Abani Mukherjee, Rosa Fitingov, Mohammad Ali, Mohamad Shafiq, and Acharya.
• As a result of the election, Shafiq was chosen as the party's secretary, Roy as the secretary of the bureau located in socialist Turkestan, and Acharya as the chairman who approved the minutes.
• The organization chose "The Indian Communist Party" as its name at its inaugural meeting on October 17.
• The Comintern's guiding principles were also endorsed at the inaugural conference, and it was determined to develop a CPI program "tailored to the conditions of India."
• The Comintern's membership process and affiliation were the subjects of an initial discussion.
• The singing of "The International" marked the end of the meeting.

The correct answer is 13th.

Key Points

• The Sangita-Ratnakara is Sanskrit for "Ocean of Music and Dance."
• It is one of the most significant Indian texts on musicology.
• In the thirteenth century, Sarngadeva wrote it in Sanskrit.
• The author served in King Singhana II's court during the Yadava dynasty, whose seat of government was in Devagiri, Maharashtra.
• There are seven chapters in the text.
• Svaragatadhyaya, Ragavivekadhyaya, Prakirnakadhyaya, Prabandhadhyaya, Taladhyaya, and Vadyadhyaya, the first six chapters, cover a variety of musical topics and instruments.
• Nartanadhyaya's final chapter discusses dance.

The correct answer is Sawai Raja Jai Singh.

Key Points

• Jai Singh II was also referred to as Sawai Jai Singh.
• He was the 29th Kachwaha Rajput king to lead the Amber Kingdom.
• He later founded the fortified city of Jaipur and made it his capital.
• He was born in Amber, the Kachwaha Rajputs capital.
• When his father, Raja Bishan Singh, passed away on December 31, 1699, he was 11 years old and took over as the monarch of Amber.
• In 1722, Sawai Jai Singh received the subadari of Agra and made Jaipur the capital of his empire.
• He was appointed to govern Malwa three times **between 1714 and 1737.**​

Additional Information

• Sawai Raja Jagat Singh:
• After Pratap Singh's passing, Jagat Singh II occupied the throne of Jaipur.
• In the  y ear 1803, Jagat Singh was crowned.
• Jahandar Shah:
• He was the ninth Mughal Emperor.
• He reigned in the years 1712–1713.
• He was Bahadur Shah's son.
• Shahjahan:
• He was the Mughal Empire's fifth emperor.
• He ruled from January 1628 until July 1658.
• He was Jahangir's third son.

The correct answer is Navneet Munot.

Key Points

• The CEO and MD of HDFC Asset Management Company Limited is Mr. Navneet Munot.
• In the financial markets, Mr. Munot has more than 28 years of experience.
• He has held the positions of Chief Investment Officer at SBI Mutual Funds, Executive Director and Head of Multi-Strategy Boutique at Morgan Stanley Investment Management, and CIO for fixed income and hybrid funds at Birla Sun Life Mutual Funds.

Additional Information

• VK Yadav:
• He is the administrator of Delhi Gymkhana Club Limited.
• He is the Ex Chairman & CEO of Railway Board, Indian Railways.
• TN Manoharan:
• He is former president of the Institute of Chartered Accountants of India and Ex-chairman of Canara Bank.
• Rajiv Kumar:
• He is the 25th Chief Election Commissioner of India.

The correct answer is Satyendranath Tagore.

Key Points

• Satyendranath Tagore (1 June 1842 – 9 January 1923):
• He was a civil servant, poet, composer, writer, social reformer, and linguist from Kolkata, West Bengal.
• He also studied music and composition.
• In 1863, he was the first Indian to be appointed an officer in the Indian Civil Service.
• He joined the service in 1864.
• He was a Bramho Samaj member.
• His "Mile Sabe Bharat Santan, Ektan Gago Gaan," a patriotic song in the Bengali language, was acclaimed as **India's first national anthem. **​

Additional Information

• Nibaran Chandra Mukherjee:
• He was a Brahmo reformer in India during the 19th century.
• Pingali Venkayya  (2 August 1876/8 – 4 July 1963):
• He was a Gandhian and an Indian freedom fighter.
• He was the designer of the flag that served as the model for the Indian National Flag.
• Bipin Chandra Pal (7 November 1858 – 20 May 1932):
• He was a social reformer, orator, writer, and freedom fighter for the Indian independence struggle.
• He was one of the **"Lal Bal Pal" trio'**s three members.
• Along with Sri Aurobindo, Pal was one of the primary designers of the Swadeshi movement.

The correct answer is Masulipatnam.

Key Points

• A type of hand-painted or block-printed cotton textile known as kalamkari.
• It is made in the Iranian city of Isfahan and the Indian state of Andhra Pradesh.
• In the twenty-three stage process of Kalamkari, only natural dyes are employed.
• In India, there are two distinct Kalamkari art styles: the Machilipatnam style and the Srikalahasti style.
• The "kalam" or pen is used to draw the subject and fill in the colors freehand in the Srikalahasti style of Kalamkari.
• This artistic movement flourished in temples that focused on forging distinctive religious identities.
• It can be seen on scrolls, temple hangings, chariot banners, and representations of gods and scenes from Hindu epics.
• The fashion owes its current popularity to Kamaladevi Chattopadhyay, the first chairman of the  All India Handicrafts Board.

Additional Information

• Nirmal Painting:
• This particular kind of ancient painting uses herbs and minerals as dyes.
• Telangana is where it is done.
• The golden color, which is generated from a combination of gums and herbs, is the most prevalent color utilized in this picture.
• The Mughals were originally exposed to this painting by traders, who were drawn to its beauty and supported it by bringing many artisans to the capital.

The correct answer is 20% to 30%.

Key Points

• The National Clean Air Programme was launched by the central government.
• Its target is to achieve a 20% to 30% reduction in Particulate Matter concentrations by 2024, keeping 2017 as the base year for the comparison of concentration.
• It was introduced as a long-term, time-bound, national-level strategy to address the air pollution problem across the country in a comprehensive manner.
• Based on the Air Quality data from 2014–2018, 122 non-attainment cities have been identified nationwide under NCAP.
• The action plans tailored to each city include, among other things, steps to improve the monitoring system, cut down on industrial and vehicle emissions, raise public awareness, etc.
• Steering Committee, Monitoring Committee, and Implementation Committee are the committees at the central and state level that routinely monitor the implementation of city-specific action plans.
• State Pollution Control Boards monitor city air quality and occasionally release their findings.
• For effective monitoring, several Smart Cities have set up Integrated Command and Control Centres (ICCCs) that are also connected to **Air Quality Monitors (AQMs).**​

Additional Information

• Central Pollution Control Board:
• The Central Pollution Control Board (CPCB) is a statutory organization.
• It was established in September 1974 in accordance with the 1974 Water (Prevention and Control of Pollution) Act.
• The Air (Prevention and Control of Pollution) Act of 1981 gave the CPCB the authority and responsibility to carry out these duties.
• It performs the functions of a field formation and offers technical assistance to the Ministry of Environment and Forests in accordance with the 1986 Environment (Protection) Act.
• The CPCB's primary responsibilities include
• promoting the cleanliness of streams and wells in various States through the prevention, control, and abatement of water pollution, and
• enhancing air quality and preventing, controlling, or abating air pollution nationwide.

The correct answer is 12 October 2020.

Key Points

• Through a virtual ceremony, Prime Minister Narendra Modi distributed a commemorative coin worth 100 rupees in memory of Vijaya Raje Scindia.
• The Rajmata of Gwalior, Vijaya Raje Scindia, is a well-known figure.
• The coin was released on October 12 to commemorate Vijaya Raje Scindia's 100th birthday.
• She was a prominent Jana Sangh figure and a BJP founding member.
• Scindia, who hails from a royal dynasty, was a prominent representative of the saffron party and an outspoken supporter of its fundamental Hindutva principles.
• The special commemorative coin was minted by the Finance Ministry as a part of these celebrations.

Additional Information

• On September 1, 2021, Prime Minister Narendra Modi issued a special commemorative coin worth Rs 125.
• It was issued to commemorate the 125th birthday of Srila Bhaktivedanta Swami Prabhupada, the founder of the International Society for Krishna Consciousness (ISKCON).

The correct answer is 2020.

Key Points

• Krishi UDAN Scheme
• Krishi UDAN Scheme was introduced in August 2020 on both national and international routes.
• It was launched to help farmers transport their agricultural products and increase the value realization of their output.
• The program intends to guarantee smooth, affordable, timely air transportation for all agricultural produce, especially those coming from the Northeast, hilly regions, and tribal areas of the nation.
• The Ministry of Commerce and Industry's Invest India, India's national Investment Promotion & Facilitation Agency, and AAI Cargo Logistics and Allied Services Company Limited (AAICLAS), a 100% subsidiary of the Airports Authority of India, provided assistance in developing the improved version of the Krishi UDAN scheme.
• The goals are to carry agri-produce, which includes horticulture, fishery, livestock, and processed goods, using an increased proportion of air.

Additional Information

• Budget 2020:
• Nirmala Sitharaman, India's finance minister, unveiled the country's 2020 Union Budget on February 1 .
• This is the second budget of the second term of the NDA administration, led by Narendra Modi.
• A day before the budget, on January 31, 2020, the Economic Survey for the 2019–2020 fiscal year was made public.
• Budget 2022:
• The objectives of the budget for FY2022-23 are intended to further India's aspirations in Amrit Kaal as it approaches the 100th anniversary of its independence.
• In 2022–23, the government plans to spend Rs 39,44,909 crore, a 4.6% increase over the updated projection for 2021–22.
• The total expenditure for 2021–22 is anticipated to be 8.2% higher than anticipated in the budget.
• In 2022–2023, the government forecasts a nominal GDP growth rate of 11.1%.
• The target revenue deficit for 2022–2023 is 3.8% of GDP, which is less than the previously estimated 4.7% for 2021–2022
• The target fiscal deficit for 2022–23 is 6.4% of GDP, which is less than the previously estimated 6.9% for 2021–22.
• Interest expenditure at Rs 9,40,651 crore is estimated to be 43% of revenue receipts.
• The Ministry of Communications (93%), the Ministry of Road Transport and Highways (52%), and the Ministry of Jal Shakti (25%), are among the top 13 ministries with the biggest allocations.​

The correct answer is Palkonda Hills.

Key Points

• Palkonda Hills 
• The Palkonda Hills are a group of hills in the Andhra Pradesh state of southern India that are a part of the Eastern Ghats.
• They extend from northwest to southeast, coming to a head at the Tirupati pilgrimage site.
• The Telugu terms pal, which means milk, and Konda, which means hill, are combined to form the name Palkonda, which means "milk hills."
• They got their name because they had pastureland there.
• These hills rise to an average height of 2,000 feet.
• The range's highest peak is at Buttaid, where it rises to a height of **3,060 feet.**​

Additional Information

• Anaimalai Hills:
• The Elephant Mountains are another name for the Anaimalai Hills.
• These are a group of mountains in Kerala's southern Western Ghats.
• Nilgiri Hills:
• In India's western Tamil Nadu, southern Karnataka, and eastern Kerala, the Nilgiri Mountains are a portion of the Western Ghats.
• They connect the Western Ghats with the Eastern Ghats and are situated at the intersection of three states.
• Mahabaleshwar Hills:
• Mahableshwar is the best hill station in Maharashtra.
• It is situated about 4500 ft. above sea level on the Sahyadri spurs.

The correct answer is 1972.

Key Points

• The Ministry of Finance, Government of India, owns General Insurance Corporation of India Limited.
• It is a central public sector organization.
• On November 22, 1972, it was incorporated under the Companies Act of 1956.
• GIC Re has its registered office and headquarters in Mumbai.
• Up until the Indian insurance market was opened to foreign reinsurance players in late 2016, including firms from Germany, Switzerland, and France, it was the only nationalized reinsurance company operating there.
• Shares of GIC Re are traded on the National Stock Exchange of India Ltd. and BSE Limited.
• Devesh Srivastava is the Chairman-and-Managing Director of GIC.

The correct answer is Srinagar.

Key Points

• In Srinagar, Jammu and Kashmir, India, there is a tulip garden called the Indira Gandhi Memorial Tulip Garden.
• With a total area of around 30 acres, it is Asia's largest tulip garden.
• It is located at the foot of the Zabarwan mountain range and was constructed on a slope in a terraced style with seven terraces and views of the Dal Lake.
• The garden was established in 2007 with the intention of enhancing Kashmir Valley tourism and floriculture.
• It was formerly known as Siraj Bagh.
• There are 46 different types of flowers in addition to tulips, including hyacinths, daffodils, and ranunculus that were also imported from Holland.
• The tulip garden is home to around 68 varieties of tulips.
• The Government of Jammu and Kashmir hosts the Tulip Festival every Spring to promote tourism.

The correct answer is Michigan.

Key Points

• The winner of Miss India USA 2021 is Michigan native Vaidehi Dongre.
• Georgia's Arshi Lalani was named as the first runner up.
• North Carolina native Mira Kasari finished as the second runner up in the competition.
• Vaidehi Dongre is a graduate from the University of Michigan and currently works as a business development manager.
• She was reared in the US but was born in India.

Additional Information

• Aarya Walvekar, an Indian-American teenager from Virginia, was crowned Miss India USA in 2022 at the annual beauty pageant.

The correct answer is Mumbai Indians.

Key Points

• A men's T20 franchise cricket league in India is known as Indian Premier League.
• Ten teams representing seven Indian cities and three Indian states compete in it every year.
• The Board of Control for Cricket in India (BCCI) established the league in 2007.
• IPL's current chairman is Arun Singh Dhumal.
• It typically takes place in India's warm months of March through May and has a special window in the ICC Future Tours Programme.
• Mumbai Indians and Chennai Super Kings are the most successful teams in the history of the league in terms of titles won with five.
• Kolkata Knight Riders has won two championships.
• Gujarat Titans, Rajasthan Royals, Deccan Chargers, and Sunrisers Hyderabad have all won the championship once.
• The Chennai Super Kings are the reigning champions after their 5-wicket victory over the Gujarat Titans in the 2023 season final.

The correct answer is eye.

Key Points

• The ability to see in three dimensions—length, width, and depth—is known as stereopsis.
• It enables a person to determine how far away or close an object is from them.
• Many different visual inputs, referred to as depth cues, are the source of depth perception.
• These depth cues might be monocular (one eye) or binocular (two eyes).
• Because the eyes are somewhat offset on the head, each eye receives a separate image, leading to binocular vision (left and right eyes).
• The term "horizontal disparities" or, more generally, "binocular disparities" is used to describe these spatial variances.
• The visual cortex of the brain processes disparities to produce depth perception.
• While binocular disparities are naturally present when viewing a real three-dimensional scene with two eyes, they can also be simulated by artificially presenting two different images separately to each eye using a method called stereoscopy.
• In these circumstances, the perception of depth is also known as "stereoscopic depth."

The correct answer is Shashi Tharoor.

Key Points

• A former international civil servant, diplomat, bureaucrat, politician, writer, and public intellectual from India, Shashi Tharoor has represented Thiruvananthapuram, Kerala, in the legislature since 2009.
• He is the Chairman of the Standing Committee on Chemicals and Fertilizers.
• Shashi Tharoor published the book Why I Am a Hindu in 2018.
• Tharoor clarifies his personal religious beliefs while writing about the history of Hinduism and its fundamental principles, as well as related socio-cultural changes in India.
• His other works include An **Era of Darkness, Pax Indica, Tharoorosaurus, and The Paradoxical Prime Minister. **​

Additional Information

The correct answer is BRICS Partnership for Global Stability, Shared Security and Innovative Growth.

Key Points

• The 2020 BRICS summit marked the group's twelfth annual gathering.
• The five member states Brazil, Russia, India, China, and South Africa's chiefs of state or governments attended the summit on international relations.
• Due to the COVID-19 pandemic, the meeting's original dates of July 21–23, 2020, in Saint Petersburg were changed to a video conference on November 17.
• The most recent BRICS summit was hosted by Russia at Ufa.
• The first Sherpa meeting was held in Saint Petersburg from February 11 to 13 2020.
• Sergei Ryabkov, the Russian Federation's deputy minister of foreign affairs and a Russian Sherpa for the BRICS, served as the meeting's chairman.
• The theme for 2020 was “BRICS Partnership for Global Stability, Shared Security and Innovative Growth.

Additional Information

• The 14th BRICS summit was essentially hosted by China.
• In addition to the main meeting, ministers from the UAE, Saudi Arabia, Egypt, Kazakhstan, Indonesia, Argentina, Nigeria, Senegal, and Thailand participated in the BRICS Plus virtual conference.
• Foster High-quality BRICS Partnership, Usher in a New Era for Global Development is the theme of the 14th BRICS Summit.

The correct answer is 21 years.

Key Points

• In rural areas of the Indian subcontinent, a form of local self-government known as the Panchayati Raj Institution, or PRI, is used.
• It is divided into three levels: village, intermediate block/taluk/mandal, and district.
• The management of local matters is made easier by local self government.
• These local bodies have elected representatives who, as a result, have a greater awareness of problems at the grassroots level.
• Therefore, a person must be at least 21 years old to run in elections.
• The 73rd Amendment added Part IX in the constitution of India and was **titled “The Panchayats”. **​
• Article 243C in The Constitution Of India deals with the composition of Panchayats.

The correct answer is Lawn tennis.

Key Points

• A rectangular court is used for the sport of lawn tennis.
• It can be played inside or outdoors by two players (in singles), four players (in men's and women's doubles), or partners of both sexes (mixed doubles).
• The players hit a ball back and forth across a net with rackets.
• By striking the ball out of the opponent's reach or in a way that prevents him from successfully returning it, one can gain points.
• Trophies related to lawn tennis are:
• Barna Bellack Cup, Davis Cup, Grand Prix, Jaylaxmi Cup (Women's), Rajendra Prasad Cup, Rajkumar Cup (Junior boys), Rajkumari Cup (Junior girls), Ramanujan Trophy, Thant Cup, Travancore Cup (Women's), Wightman Cup and Wimbledon Trophy.

Additional Information

Shortcut Trick

Remaining work after A works for 10 days = 1 − 10/40 = 3/4.

B finishes 3/4 work in 45 days → B finishes full work in 45 × (4/3) = 60 days.

Combined time for 100% work = (40 × 60) / (40 + 60) = 24 days.

Time for 75% work = 24 × 0.75 = 18 days.

∴ The correct answer is 18 days.

Alternate Method

Given: Time taken by A = 40 days, Work done by A = 10 days, Time taken by B for remaining work = 45 days.

Formula Used: Efficiency = Total Work ÷ Time taken

⇒ Work done by A in 10 days = 10/40 = 1/4 of the total work.

⇒ Remaining work = 1 − 1/4 = 3/4.

⇒ B alone takes 45 days to complete 3/4 of the work.

⇒ Time for B to complete 100% work = 45 × 4/3 = 60 days.

⇒ Total efficiency of (A + B) = 3 + 2 = 5 units/day.

⇒ 75% of total work = 75% of 120 = 90 units.

⇒ Time required for (A + B) to finish 90 units = 90 ÷ 5 = 18 days.

∴ The correct answer is 18 days.

Additional Information

Combined Efficiency

If two persons A and B can finish a work in 'x' and 'y' days respectively, then working together they finish the work in (x × y) / (x + y) days.

Work and Time Relation

Work done is directly proportional to the time taken and efficiency: Work = Efficiency × Time.

Fractional Work

If a person completes '1/n' part of work in 't' days, they will complete the full work in 'n × t' days.

Concept used:

Calculation:

⇒ 3 × 8 ÷ 4 of 6 - 6 ÷ 4 × (13 - 15) + 4 - 2 × 9 ÷ 6 × 6

⇒ 3 × 8 ÷ 24 - (6/4) × (-2) + 4 - 2 × (9/6) × 6

⇒ 3 × (8/24) + 3 + 4 - 18

⇒ 3 × 1/3 + 3 + 4 -18

⇒ 1 + 7 - 18

⇒ 8 - 18

⇒ -10

∴ The correct answer is -10.

Given:

Pipes A and B can fill an empty cistern in 12 hours and 16 hours.

After 3 hours pipe B is closed.

Calculation:

Let pipe A take to fill the remaining cistern be x hr.

A + B = 1 (Total work)

⇒  $x+3\over12$ + $3\over16$ = 1

⇒ $x+3\over12$ = 1 - $3\over16$ = $13\over16$ 

⇒ x + 3 = $13\over16$ × 16 = $39\over4$

⇒ x = $39\over4$ - 3 = $27\over4$ = $6\frac{3}{4}$

∴ Pipe A takes to fill the remaining cistern is $6\frac{3}{4}$ hours.

Alternate MethodPart of the tank is filled by pipes A and B in 3 hours.

⇒ 3($1\over12$ + $1\over16$) = 3 × $7\over48$ = $7\over16$

Remaining part = 1 - $7\over16$ = $9\over16$

This part is filled by pipe A.

Required time = $9\over16$ × 12 = $27\over4$ = $6\frac{3}{4}$ 

∴ Pipe A takes to fill the remaining cistern is $6\frac{3}{4}$ hours.

Given:

Average of 23 numbers is 45

Average of the first 12 numbers is 40.5

Average of the last 6 numbers is 48.5 

Formula used:

Average = Sum of numbers/Total numbers

Calculation:

Average = Sum of numbers/Total numbers

⇒ 45 = Sum of 23 numbers/23

∴ Sum of 23 numbers = 45 × 23 = 1035

Again,

⇒ 40.5 = Sum of first 12 numbers/12

∴ Sum of first 12 numbers = 40.5 × 12 = 486

Again, 

48.5 = Sum of last 6 numbers/6

∴ Sum of last 6 numbers = 48.5 × 6 = 291

Now,

Sum of remaining 5 numbers = Sum of 23 numbers - (Sum of First 12 numbers + Sum of last 6 numbers)

Sum of remaining 5 numbers = 1035 - (486 + 291) = 1035 - 777 = 258

∴ Average of remaining 5 numbers = 258/5 = 51.6

∴ The average of remaining 5 numbers is 51.

Given:

X be the greatest number of 4-digits which when divided by 12, 15, 16 and 20 and the remainders are 9, 12, 13, and 17, respectively

Calculation:

For LCM (12, 15, 16, 20)

⇒ 12 = 2 × 2 × 3

⇒ 15 = 3 × 5

⇒ 16 = 4 × 4

⇒ 20 = 2 × 2 × 5

LCM = 24 × 3 × 5 = 240

We know that the greatest 4-digit number is 9999

Now, we divide 9999 by 240 and after dividing the remainder is 159

∴ We subtract 159 in 9999

⇒ 9999 - 159 = 9840

Now, 12 - 9 = 3, 15 - 12 = 3, 16 - 13 = 3, 20 - 17 = 3

Here, the difference is the same which is 3S

So, the greatest number which is divisible by 12, 15, 16, and 20 is

⇒ 9840 - 3 = 9837

Sum of digits of 9837 = 9 + 8 + 3 + 7 = 27

∴ The sum of the digits of x is 27

Given:

Distance covered upstream = 48 km

Distance covered downstream = 48 km

Speed of current of river (u) = 4 km/h

Formula used : 

v = speed of boat, u = speed of river, and D = Distance

Time taken downstream = D/(v + u)

Time taken upstream = D/(v - u)

Calculation:

According to question,

⇒ 48/(v - u) = 48/(v + u) + 1

⇒ (48 × 2 × u)/(v - u)(v + u) = 1 --------------(1)

Now putting value of u in eq (1),

⇒ 48 × 2 × 4/(v - 4)(v + 4) = 1

⇒ v² - 16 = 384

⇒ v² = 400 

⇒ v = +20(Correct) , -20(incorrect)

∴ The correct answer is 20 km/h.

Shortcut Trick:

By Directly putting v = 20 in eq(1)

⇒ (48 × 2 × 4)/(20 -4)(20 + 4) = 1

⇒ (48 × 8)/(16 × 24) = 1

⇒ 1 = 1

∴ L.H.S = R.H.S

Here, it shows that the correct answer will be 20.

Shortcut Trick

Lead distance of Train A = 80 km/h × (30/60) hr = 40 km.

Relative speed in same direction = 100 − 80 = 20 km/h.

Time to cross = Lead distance ÷ Relative speed = 40 ÷ 20 = 2 hr.

∴ The correct answer is 2 hr.

Alternate Method

Given:

Speed of Train A (S_A) = 80 km/h

Speed of Train B (S_B) = 100 km/h

Headstart for Train A = 30 minutes = 0.5 hours

Formula Used:

Distance = Speed × Time

Relative Speed (Same direction) = S₁ − S₂

Time = Distance ÷ Relative Speed

Calculations:

⇒ Distance covered by Train A in 30 minutes = 80 × (30/60) = 40 km.

⇒ This 40 km is the initial distance gap between Train B and Train A when Train B starts.

⇒ Relative speed of Train B with respect to Train A = 100 − 80 = 20 km/h.

⇒ Time taken by Train B to cross Train A = Initial Distance ÷ Relative Speed

⇒ Time = 40 / 20 = 2 hr.

∴ The correct answer is 2 hr.

Additional Information

Relative Speed Concept

When two objects move in the same direction, their relative speed is the difference of their speeds: S_rel = S₁ − S₂.

Relative Speed in Opposite Directions

When two objects move in opposite directions, their relative speed is the sum of their speeds: S_rel = S₁ + S₂.

Unit Conversion

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

Time of Crossing

Time = (Total Distance or Gap) ÷ Relative Speed. For two trains crossing each other, Total Distance = Length of Train 1 + Length of Train 2.

Given:

Total seats = 2100

Each seat costs = Rs.160

Calculation:

$82\frac{2}{3}$% of seats were filled out of 2100 seats.

Remaining seats = 2100 - 2100 × $248\over 3$%

⇒ 2100 - 2100 × $248\over 3× 100$ = 364 seats

Each seat costs = Rs. 160

Total loss incurred = 364 × 160 = Rs. 58240

∴ The total loss incurred is Rs. 58240.

Calculation:

Let there be n numbers in the original list and their mean be x.

Then, the sum of n numbers = n × y

And the Average of the number is A

According to question,

⇒ x / n = A  ----------------(1)

⇒ x + 25 / n + 1 = A + 4  ------------(2)

⇒ x + 32 / n + 2 = (A + 4) - 1 / 3  ------------(3)

By solving the equation (1) and (2) we get,

⇒ x + 25 / n + 1 = A + 4

⇒ x + 25 = (A + 4) × (n + 1)

⇒ x + 25 = An + 4n + A + 4

⇒ An + 25 = An + 4n +A + 4

⇒ 4n + A = 21 ------------(4)

Now Solving equation (1) and (3) we get,

⇒ x + 32 / n + 2 = a + 11 / 3 

⇒ 3 (x + 32) = (3A + x) (x + 2)

⇒ 96 - 22 = 11n + 6

⇒ 74 - 11n = 6A    -----------------(5)

Now solving equation (4) and (5) we get,

74 - 11n = 6A 

74 - 11n = 6(21 - 4n)

74 - 11n = 126 - 24n

13n = 52

n = 4

Number in the original list  = 4

Shortcut Trick

For 2 years, the difference (D) between CI and SI is given by: D = P × (R/100)²

324 = 40,000 × (R/100)²

(R/100)² = 324 ÷ 40,000 = 81 ÷ 10,000

Taking square root on both sides: R/100 = 9 ÷ 100

R = 9%

∴ The correct answer is 9%.

Alternate Method

Given:

Principal (P) = ₹40,000

Time (T) = 2 years

Difference (D) = ₹324

Formula Used:

Difference (D) = P × (R/100)²

Calculations:

⇒ 324 = 40,000 × (R/100)²

⇒ (R/100)² = 324 ÷ 40,000

⇒ (R/100)² = 81 ÷ 10,000

⇒ R/100 = √(81 ÷ 10,000)

⇒ R/100 = 9 ÷ 100

⇒ R = 9

∴ The correct answer is 9%.

Additional Information

Difference for 3 Years

The difference between CI and SI for 3 years is D = P(R/100)² × (3 + R/100).

Simple Interest (SI)

SI is calculated only on the principal amount: SI = (P × R × T) ÷ 100.

Compound Interest (CI)

CI is interest calculated on the initial principal and also on the accumulated interest: CI = P[(1 + R/100)^T − 1].

Given:

Profit = 25%, CP is reduced = 20%

Formula used:

SP = CP × (100 + P%)/100

Profit = SP - CP

Profit% = P × 100/CP

Calculation:

Let CP be Rs. 100

SP = 100 × (100 + 25)/100 = 125

If CP is reduced 20%, then CP = 80

But SP is the same i.e Rs. 125

Profit = 125 - 80 = 45

Profit% = 45 × 100/80 = ​$56\frac{1}{4}$​​%

​∴ The profit % is $56\frac{1}{4}$%

Given:

Side of Square ABCD = 30 m

Formula used:

Area of square = (side)²

Calculation:

Side of least sized square = 15√2 m

Area of Least sized square = (15√2)²

⇒ 225 × 2 

⇒ 450 m²

∴ The correct answer is 450 m².

Given:-

Diameter (d) = 1.5 × height (h)

Curved surface area = 480π cm²

Formula used:-

Slant height (l) = $\large{√{r^2 + h^2}}~$

Curved surface area = πrl

Calculation:-

According to the question,

Radius (r) = 0.75 × h

∴ l = $√{r^2 + h^2}$

⇒ l = $√{(0.75 × h)^2 + h^2}~~$

⇒ l = h × $√{0.5625 + 1}~$

⇒ l = 1.25 × h

⇒ l = 1.25 × (r / 0.75)

⇒ l = 1.667 × r

Now, Curved surface area = π × r × l = 480π

⇒ r × 1.667 × r = 480

⇒ r² = 480/1.667

⇒ r² = 287.94

⇒ r = √ 287.94 = 17 cm

∴ h = 17/(0.75) = 22.66 cm

∴ l = $√{17^2 + 22.66^2}$  

⇒ l = 28.32cm

⇒ l = 20√2 = 28.32cm

Shortcut TrickDiameter = 1.5 × height 

Radius(r) = 0.75 × h

⇒ r / h = 75/100 = 3/4

Let r = 3x and h = 4x

⇒ l = $\sqrt{r^2 + h^2}$ = √ (3x)² + (4x)² = 5x

Now, Curved surface area = π × r × l = 480π

⇒ π × 3x × 5x = 480 π 

⇒ x² = 32 ⇒ x = 4√2 cm

∴ The slant height = 5x = 5 × 4√2 = 20√2 cm

Shortcut Trick

Total amount % for 5.5 years at 7.5% = 100% + (7.5 × 5.5)% = 141.25%

Total interest % for 8.25 years at 7.5% = (7.5 × 8.25)% = 61.875%

Given 141.25% → ₹16,950 ⇒ 1% → 16,950 ÷ 141.25 = ₹120

Required Simple Interest = 61.875% × 120 = ₹7,425

∴ The correct answer is ₹7425.

Alternate Method

Given:

Rate (R) = 7.5% p.a.

Time (T₁) = 5.5 years

Amount (A) = ₹16,950

Time (T₂) = 8.25 years

Formula Used:

Simple Interest (SI) = (P × R × T) ÷ 100

Amount (A) = P + SI

Principal 100%

5.5 yrs @ 7.5% Int: + 41.25%

Amount (141.25%) ₹16,950

Principal 100%

8.25 yrs @ 7.5% Int: + 61.875%

Interest (61.875%) ₹7,425

Calculations:

⇒ Let the principal sum be P.

⇒ Total interest percentage for 5.5 years = 7.5% × 5.5 = 41.25%

⇒ Amount = P + 41.25% of P = 141.25% of P

⇒ 141.25% of P = 16,950

⇒ P = (16,950 × 100) ÷ 141.25

⇒ P = 1,695,000 ÷ 141.25 = ₹12,000

⇒ Now, Simple Interest for 8.25 years:

⇒ SI = (12,000 × 7.5 × 8.25) ÷ 100

⇒ SI = 120 × 7.5 × 8.25

⇒ SI = 900 × 8.25 = ₹7,425

∴ The correct answer is ₹7425.

Additional Information

Simple Interest vs Compound Interest

Simple Interest is calculated only on the principal amount, remaining constant each year. Compound Interest is calculated on the principal plus any previously accumulated interest.

Effective Simple Interest Rate

Total simple interest over a time period can be directly calculated as an effective percentage of the principal using the formula: Effective Rate = Rate × Time (in %).

Proportionality of Simple Interest

For a given sum and fixed rate, the Simple Interest earned is directly proportional to the time duration. (i.e. SI₁ ÷ SI₂ = T₁ ÷ T₂).

Given:

Amount in 4 years = ₹9,648

Amount in 7 years = ₹11,484

Formula used:

A = P + SI

Calculation:

Amount in 4 years = ₹9,648

Amount in 7 years = ₹11,484

SI in 3 years = 11,484 - 9,648 = 1836

SI in 1 years = 1836/3 = 612

SI in 4 years = 612 × 4 = 2448

For 4 years, A = P + SI

⇒ 9,648 = P + 2448

⇒ P = 9648 - 2448 = 7200

∴ The sum is Rs. 7200.

Solution:

HCF of (116 - 68) = 48, (68 - 52) = 16, and (116 - 52) = 64

HCF of 16, 48, 64 = 16

∴ The greatest number is 16 which divides 52, 68 and 116 to leave the same remainder in each case.

Given:

CP of 62 books = SP of 50 books

Formula used:

Profit = SP - CP

Profit% = P × 100/CP

Calculation:

CP × 62 = SP × 50

⇒ (CP/SP) = 50/62 = 25/31

CP = 25, SP = 31

Profit = 31 - 25 = 6

Profit% = 6 × 100/25 = 24

∴ The profit % is 24%.

Concept used:

Calculation:

⇒ 1 ÷ 1 \( \left{ {\frac{1}{2} + \frac{5}{2} of \frac{1}{5} - \left( {\frac{1}{4}; ÷ \frac{1}{2} + \frac{1}{2}} \right) + \frac{1}{2} \times 3} \right} \)

⇒ 1 ÷ 1 \( \left{ {\frac{1}{2} + \frac{5}{2} of \frac{1}{5} - \left( {\frac{1}{4}; \times 2+ \frac{1}{2}} \right) + \frac{1}{2} \times 3} \right} \)

⇒ 1 ÷ 1 \( \left{ {\frac{1}{2} + \frac{1}{2} - {1}+ \frac{3}{2} } \right} \)

⇒ 1 ÷ 1  \( \left{ { \frac{3}{2} } \right} \)

⇒ 1 ÷ \( \left{ { \frac{3}{2} } \right} \)

⇒ 2/3

∴ The correct answer is 2/3.

Shortcut Trick

Reduced Price per kg = (Total Amount × Discount%) ÷ Extra Quantity

Reduced Price = (1876 × 18%) ÷ 5

Reduced Price = (1876 × 0.18) ÷ 5

Reduced Price = 337.68 ÷ 5 = 67.536

Nearest integer value = 68

∴ The correct answer is ₹68.

Alternate Method

Given: Total Expenditure = ₹1876, Discount = 18%, Extra Rice = 5 kg.

Formulas: Reduced Price = (Expenditure × Discount%) ÷ Extra Quantity | Original Price = Reduced Price ÷ (100 − Discount%) × 100

⇒ Savings due to discount = 18% of 1876

⇒ Savings = (18 ÷ 100) × 1876 = 337.68

⇒ This saving of ₹337.68 allows buying 5 kg more rice.

⇒ Reduced Price per kg = 337.68 ÷ 5

⇒ Reduced Price = 67.536 ≈ ₹68

∴ The correct answer is ₹68.

Additional Information

Price and Consumption Relationship

When expenditure is constant, Price is inversely proportional to Consumption. If price decreases by x%, consumption must increase to keep the total cost same.

Original Price Calculation

Original Price = Reduced Price ÷ (1 − Discount Rate). In this case: 67.536 ÷ 0.82 ≈ ₹82.36 per kg.

Given:

MP is 25% higher than CP

Discount = 30%

Formula used:

SP = MP × (100 - L%)/100

L% = L × 100/CP

Calculation:

Let CP be Rs. 100x

MP = 125x

SP = 125x × (100 - 30)/100 = 125x × 7/10

SP = 87.5x

Loss = 100x - 87.5x = 12.5x

Loss% = 12.5x × 100/100x = 12.5

Hence, the required loss is 12.5%

Alternate Method As MP is 25% above CP 

CP : MP = 100 : 125

CP : MP = 4 : 5              ------- (1)

Also CP : MP = (100 - D%) : (100 - P)

CP : MP = 70 : (100 - P)      ------- (2)

⇒ 4 : 5 = 70 : (100 - P)           -- From (1) and (2)

⇒ 4(100 - P) = 350

⇒ 4P = - 50

P = - 12.5

Profit is negative because there is a loss of 12.5%

∴ The required loss is 12.5%

Given:

Vessels A and B contain acid and water in the ratio 3 ∶ 2 and 7 ∶ 3

Contents of A and B are mixed in the ratio 4 ∶ 3

Calculation:

In vessel A

Acid : water = 3 : 2

∴  Acid = 3/5, water = 2/5

In vessel B

Acid : water = 7 : 3

∴ Acid = 7/10,water = 3/10

Now, According to the question,

$\frac{acid}{water}$ = $\frac{4\times\frac{3}{5}+3\times\frac{7}{10}}{4\times\frac{2}{5}+3\times\frac{3}{10}}$

⇒ $\frac{acid}{water}$ = $\frac{\frac{12}{5}+\frac{21}{10}}{\frac{8}{5}+\frac{9}{10}}$

⇒ $\frac{acid}{water}$ = $\frac{\frac{24+21}{10}}{\frac{16+9}{10}}$

⇒ $\frac{acid}{water}$ = $\frac{\frac{45}{10}}{\frac{25}{10}}$

⇒ $\frac{acid}{water}$ = $\frac{45}{25}$ = ${9 \over 5}$

∴ acid : water = 9 : 5

∴ The ratio of acid and water in the resulting solution is 9:5

Solution:

Let the CP of the article be x.

If the Salesman sells the article of 24 % Profit, then SP of the article = x × (124 / 100)

If the Salesman had purchased the article 12 % less, the new CP of the article = x × (88 / 100)

According to Question,

⇒ [(124x/100) - 69] - (88x/100) = (88x/100) × (20/100)

⇒ 1.24x - 69 - .88x = 0.176x

⇒ .36x - 69 = 0.176

⇒ .36x - 0.176x = 69

⇒ 0.184x = 69

⇒ x = (69 × 1000)/184 = 375

∴ The Cost price of the item is 375

Given:-

Total number of boys passed = 702

28% of Boys and 16% of Girls failed. 

Calculation:-

Let 100N be the total number of students who appeared-

∴ No. of boys = 65% of 100N = 65N

∴ No. of girls = (100 - 65)% of 100N = 35N

So, total number of boys passed = 702

∴ Total boys - Failed boys = 702

⇒ 65N - 28% of 65N = 702

⇒ 65N - (0.28 × 65N) = 702

⇒ 65N(1 - 0.28) = 702

⇒ 65N × 0.72 = 702

N = 702/46.8 = 15

∴ Total number of students = 100 × 15 = 1500

So, the total no. of girls passed = 35N - (0.16 × 35N)

Total passed girls = 35N(1 - 0.16)

⇒ 35 × 15 × 0.84 = 441

∴ 441 girls are passed

Calculation:

Five years ago, the ration of ages of A and B = 5x : 8x

According to the question,

⇒ (5x +15)/(8x+ 15) = 8/11 

⇒ 11(5x + 15) = 8(8x + 15)

⇒ 55x + 165 = 64x + 120

⇒ 9x = 45

⇒ x = 5

Present age of B = 8x + 5

⇒ 8 × 5 + 5 = 45

∴ Present age of B = 45

Shortcut Trick

The third proportional to any two numbers a and b is given directly by the formula: b² ÷ a.

Here, a = 6 and b = 42.

Third proportional = (42 × 42) ÷ 6

Third proportional = 42 × 7 = 294

∴ The correct answer is 294.

Alternate Method

Given:

First number (a) = 6

Second number (b) = 42

Formula Used:

If x is the third proportional to a and b, then a : b :: b : x.

6

:

42

::

42

:

x

Ratio Equivalence: Third Proportional

Calculations:

⇒ 6 : 42 :: 42 : x

⇒ 6 ÷ 42 = 42 ÷ x

⇒ 6 × x = 42 × 42

⇒ x = (42 × 42) ÷ 6

⇒ x = 7 × 42

⇒ x = 294

∴ The correct answer is 294.

Additional Information

Fourth Proportional

If a : b :: c : d, then d is the fourth proportional to a, b, and c. It is calculated directly as d = (b × c) ÷ a.

Mean Proportional

The mean proportional (or geometric mean) between two numbers a and b is calculated as √(a × b).

First Proportional

If x : a :: a : b, then x is the first proportional. It is calculated directly as x = a² ÷ b.

The incorrectly spelt word is: Imaculate.

Key Points

• The correct spelling is 'immaculate'.
• Immaculate: perfectly clean, neat, or tidy.

Therefore, the correct answer is option (1) Imaculate.

Additional InformationOther Options and their meanings-

• Immense- Very big or great
• Impediment- Something that makes it difficult for a person or thing to move or progress
• Immature- Not fully grown or developed

The correct answer is Rescued.

Key Points

• Let's consider meaning of each option-
• Rescued- Save (someone) from a dangerous or difficult situation.
• Transferred- Move from one place to another.
• Preserved- Maintain (something) in its original or existing state.
• Passed- Move or cause to move in a specified direction.
• Hence 'rescued' is the most appropriate word to fill in the blank.
• Thus, option 1 is the correct answer.

 

Correct sentence: The little girl rescued a puppy from the street.

The correct answer is committed many mistakes.

Key Points

• The given sentence is written in Simple Past tense.
• Structure: Subject + V2 + object
• ​Example: He went to the gym.
• Use of much: a large amount of something if the noun is non-countable.
• Use of many: a large amount of something if the noun is countable.
• ​Mistakes are countable nouns.
• Commit: to do something bad
• V2 form of commit is committed.
• Therefore, 'did much mistakes' should be replaced with 'committed much mistakes' to make it grammatically correct.

 

Correct Sentence: He committed many mistakes.

The correct answer is 'I am thinking'.

Key Points

• The error lies in 'I am thinking' part of the sentence.
• The sentence should be written in Simple present tense.
• We use the present tense to talk about something that is going on now(currently).
• Structure: Subject + V1 + s/es(if singular subject) + object (Active Voice)
• ​Example: He plays football. (Active Voice)
• V1 form of 'thinking' is 'think'.
• Therefore, the use of 'I am thinking' should be replaced with 'I think' to make it grammatically correct.

 

Correct sentence: I think your idea will be really appreciated by everyone.

The correct answer is Choice between two unpleasant alternatives.

Key Points

• The most appropriate meaning of the given idiom 'Between Scylla and Charybdis' is 'Choice between two unpleasant alternatives'.
• Between Scylla and Charybdis: Between two perils or evils, neither of which can be evaded without risking the other.
• Example: Mr. Jefferson does not see that his argument will bring him between Scylla and Charybdis.
• Therefore, as per the above-mentioned points, option 2 is the correct answer.

 

Correct meaning: Choice between two unpleasant alternatives.

The correct answer is Discontinue.

Key Points

• Persist means to continue doing something even though other people say that you are wrong or that you cannot do it.
• Example: If you persist in making so much noise, I shall call the police.
• Marked option Discontinue means cease from doing or providing (something), especially something that has been provided on a regular basis.
• Example: The ferry service was discontinued by the proprietors.
• It is clear that 'Discontinue' and 'Persist' are two opposite words in meaning.
• Therefore the correct answer is option 4.

 

Additional Information

• Incline- Be favourably disposed towards or willing to do something.
• Convince- Cause (someone) to believe firmly in the truth of something.
• Enable- Unable, not able.