SSC GD Constable Previous Year Paper (Held on: 6th December 2021 Shift 1)

The logic followed here is :-

BY using BODMAS RULE :

Given equation : 46 ₹ 23 # 21 $ 3 @ 17

After replacing the mathematical symbols in place of symbols given in equation is as follows : 46 + 23 × 21 ÷ 3 - 17

= 46 + 23 × 21 ÷ 3 - 17

= 46 + 23 × 7 - 17

= 46 + 161 - 17

= 207 - 17

= 190

Hence, the correct answer is "190".

The logic followed here is :-

'STUDIES' is coded as '60433'.

And

'PACKAGE' is coded as '201113'.

Similarly,

'BLOWING' will be coded as :

Hence, the correct answer is "292330".

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

 

Conclusions:

I. All cats are elephants → True (As All cats are dogs and All dogs are elephants so, All cats are elephants is true)

II. All elephants are cats → False (As All cats are dogs and All dogs are elephants so, All elephants are cats is false)

∴ Here, Only conclusion I is true.

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

Preparing the family tree using the following symbols:

Family Tree :

∴ Here, 'Ajay' is brother-in-law of Manish.

Hence, the correct answer is "Brother-in-law".

The image embedded in given figure is as shown below :

Hence, the correct answer is "Option 4".

The water image of the given figure is as shown below :

Detailed Explanation:

• The line PQ is water image.
• The word "YRemN4" has first letter 'Y'. so, the water image should be "

" ⇒ Option 4 is eliminated.

• The word "YRemN4" has second letter 'R'. so, the water image should be "

" ⇒ Option 1 is eliminated.

• The word "YRemN4" has fourth letter 'm'. so, the water image should be "

" ⇒ Option 3 is eliminated.

Hence, the correct answer is "Option 2".

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

∴ Here, Number of Indians are medalists but are NOT Athletes is '7'.

Hence, the correct answer is "7".

Five persons are sitting around a circular table facing the centre of the table.

1) Shweta is to the immediate left of Kartik.

2) Jenny is between Suvarna and Kartik and Mahi is second to the right of Jenny.

Shweta sitting second to the right of Suvarna

Hence, the correct answer is "Shweta".

The arrangement of the given words in the order in which they appear in an English dictionary is as shown below :

4. Sealed
5. Season
6. Seating
7. Seize
8. Sense

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

The logic followed here is :-

1) AEI → All given letters are vowels.

2) QNV → All given letters are consonants.

3) OEU → All given letters are vowels.

4) EIU → All given letters are vowels.

∴ Here, 'QNV' is different from other three alternatives.

Hence, the correct answer is "QNV".

The logic followed here is :-

Hence, the correct answer is "PZWN".

The logic followed here is :-

First number × 13 = Second number.

23 : 299 → 23 × 13 = 299

Similarly,

24 : ? → 24 × 13 = 312

Hence, the correct answer is "312".

The logic followed here is :-

⇒ (First number, First number², First number³)

1) (9, 81, 729) → (9, 9², 9³) = (9, 81, 729)

2) (8, 64, 412) → (8, 8², 8³) = (8, 64, 512)

3) (5, 25, 125) → (5, 5², 5³) = (5, 25, 125)

4) (6, 36, 216) → (6, 6², 6³) = (6, 36, 216)

∴ Here, '(8, 64, 412)' is different from other three alternatives.

Hence, the correct answer is "(8, 64, 412)".

After unfolding the given paper the figure formed is as shown below :

Hence, the correct answer is "Option 4".

The logic followed here is :-

Hence, the correct answer is "569".

The logic followed here is :-

'LAWYER' is written as 'LWEAYR'.

And

'ADVICE' is written as 'AVCDIE'.

Similarly,

'COURTS' will be written as :

Hence, the correct answer is "CUTORS".

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

• The square with arrow pointed outwards moves one step clockwise and rotated 90⁰ clockwise from figure to figure.
• Triangle moves one step anti-clockwise from figure to figure.
• Circle with arrow pointing outwards rotates 90⁰ anti-clockwise in same position from figure to figure.

Hence, the correct answer is "Option 4".

The logic followed here is :-

'KAPIL' is written as 'NDRKN'.

And

'SAROJ' is written as 'VDTQL'.

Similarly,

'POOJA' will be written as :

Hence, the correct answer is "SRQLC".

Given,

When a natural number X is added to its next natural number Y and another natural number that is five times its next natural number Y.

First natural number = X

Next natural number Y = X + 1

Another natural number that is five times its next natural number Y = 5(X + 1)

Sum of these three numbers = 104

⇒ X + X + 1 + 5(X + 1) = 104

⇒ X + X + 1 + 5X + 5 = 104

⇒ 7X + 6 = 104

⇒ 7X = 98

⇒ X = 14

Hence, the correct answer is "14".

The logic followed here is :-

Prime numbers from 1 to 50 : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

Hence, the correct answer is "143".

The logic followed here is :-

Rectification is the action of putting something right which means correction.

Similarly,

Eviction is the action of forcing someone to leave an organization  which means Expulsion.

Hence, the correct answer is "Expulsion".

The logic followed here is:-

The opposite surface of the open dice can be found by the below method:-

• Alternate surfaces are opposite to each other.
• No two opposite surfaces are touched by side or by corners

So, by using the above rule we can find the opposite surface of open dice.

In the given figure, Opposite faces are :

1) 

 → All are adjacent sides of given cube.

2)  

→ Here on top it should have X face instead of K face.

3)  

 →All are adjacent sides of given cube.

4)  

→ Here K and X are opposite faces but given as adjacent sides.

∴ Here, dice A and C are formed after folding the sheet.

Hence, the correct answer is "A and C".

Important Points

For Figure A, the unfolded dice can be represented as

From above, the sequence is the same, thus dice shown in Figure A can be formed.

For figure C

From above, the sequence is the same, thus dice shown in Figure C can be formed.

Mistake PointsOption 2 can't form a Dice.

As, while folding the cube X should be the upper face of H and L.

And, K should be the bottom face of H and L.

K is placed below H in the given DIce, so K can't be above H.

Eight persons, namely Arvind, Kunal, Nidhi, Pawan, Sahil, Tanya, Tanmay and Sunita, are sitting around a circular table facing the centre.

1) Kunal is sitting second to the right of Pawan and Tanmay is sitting third to the left of Pawan.

2) Sunita is sitting to the immediate left of Tanmay and to the right of Arvind and Tanya is sitting third to the right of Arvind.

 

3) Nidhi is sitting second to the right of Sahil.

∴ Here, 'Pawan' is sitting between Nidhi and Sahil.

Hence, the correct answer is "Pawan".

Given :- W _ A T _ W X _ _ Q _ _ A T Q

By checking options and substituting accordingly.

1) X Q A T W X → W X A T Q - W X A T Q - W X A T Q

• Here, "WXATQ" is repeated.

2) A Q A T W X → W A A T Q - W X A T Q - W X A T Q

3) X Q A Q W X → W X A T Q - W X A Q Q - W X A T Q

4) X Q A T W A → W X A T Q - W X A T Q - W A A T Q

• Option (1) gives the pattern of :- W X A T Q - W X A T Q - W X A T Q

Hence, the correct answer is "X Q A T W X".

The logic followed here is:-

First and last letter of given word is added with +5.

Middle letter of given word is added with +1.

LGS : QHX

Similarly,

NDP : ?

Hence, the correct answer is "SEU".

The correct answer is 2011.

Key Points

• The Food and Agriculture Organization of the United Nations (FAO) declared the Saffron Heritage of Kashmir a 'Globally Important Agricultural Heritage System' (GIAHS) in the year 2011.
• It is also known as Saffron Heritage Site of Kashmir in India and popularly used a set of unique low-tillage traditional agricultural practices.
• The region is also best suited for agro-forestry and this practice is prevalent in a fallow period for growing fruit, fodder and mulberry trees along the farm boundaries.

Additional Information

• Globally Important Agricultural Heritage System (GIAHS):-
• A GIAHS is a living, evolving system of human communities in an intricate relationship with their territory, cultural or agricultural landscape, or biophysical and wider social environment.
• In 2002, during the World Summit on Sustainable Development (Johannesburg, South Africa), the Food and Agriculture Organization (FAO) of the United Nations launched a Global Partnership Initiative on conservation and adaptive management of “Globally Important Agricultural Heritage Systems”.
• The overall goal of the GIAHS Programme is to identify and safeguard Globally Important Agricultural Heritage Systems and their associated landscapes, agricultural biodiversity, knowledge systems, and culture.
• Since 2005, Food and Agriculture Organisation (FAO) has designated 62 systems in 22 countries as agricultural heritage sites, and as of June 2021, 15 new proposals from 9 different countries were received
• The three GIAHS in India are:
• Koraput Traditional Agriculture, Odisha
• Kuttanad Below Sea Level Farming System, Kerala
• Pampore Saffron Heritage, Jammu & Kashmir

The correct answer is Death of Alexander.

Important Points

• Alexander the Great died in Babylon in 323 B.C.
• Chandragupta Ⅰ is considered to be the founder of the Gupta Era which started with his accession in 319 - 320 CE.
• The beginning of the Shaka era is now widely equated to the ascension of king Chashtana in 78 CE.
• This led the 16-year-old Harshavardhana to ascend the throne of Thanesar in 606 AD.
• Hence Death of Alexander comes first in chronological order.

Additional Information

• Alexander the Great was a king (basileus) of the ancient Greek kingdom of Macedon.
• Alexander is considered one of history's most successful commanders.
• He invaded India in 326 BC during the period of Dhana Nanda.
• Alexander the Great died of malaria in Babylon (now Iraq), on June 13, 323 B.C.
• He was just 32 years old at the time of his death.

The correct answer is Boxing.

Key Points

• Dingko Singh was an Indian boxer.
• He won the gold medal at the 1998 Asian Games in Bangkok.
• He was from the North-eastern Indian state of Manipur.
• He was awarded the Padma Shri by the Government of India in 2013.
• He was 47.
• Dingko won the Asian Games gold in 1998 and was bestowed the Arjuna award the same year.
• Dingko, who was employed with the Navy, had taken to coaching after hanging up his gloves.

Additional Information

• Asian Games
• It is also known as Asiad.
• It is a multi-sport event held every four years among athletes from all over Asia.
• The first Asian Games were held in India in 1951.
• The most recent one was held in Palembang and Jakarta, Indonesia from 18 August-2 September 2018.
• The next games will be held from 10 to 25 September 2022 in China.

The correct answer is Operation Blue Freedom.

Important Points

• Union Social Justice and Empowerment Minister Dr. Virendra Kumar flagged off ‘Operation Blue Freedom’ on 16 August 2021.
• It is an expedition by the people with disabilities from across India to the world’s highest battlefield Siachen Glacier.
• Selected people with disabilities will undertake an expedition to Kumar Post to create a new world record to scale the world’s highest battlefield.
• The team of people with disabilities has been trained by ‘Team CLAW’, an elite team of Former Special Forces Veterans working towards creating ecosystems for people with disabilities to thrive.
• The team will drive via Manali to Leh and will prepare for the Siachen Glacier world record expedition.
• The team will subsequently undergo three stages of acclimatisation and training at Leh (Stage 1), Siachen base camp (Stage 2) and North Pullu (Stage 3) before being inducted into the Siachen Base Camp for the final expedition.
• The final leg of the expedition from Siachen Base Camp to Kumar Post, standing tall at an altitude of 15,632 feet, will commence on September 1, 2021.

The correct answer is Clay.

Key Points

• Clayey soil retains the highest amount of water and sandy soil retains the lowest amount of water.
• Clay soil is soil that is comprised of very fine mineral particles and not much organic material.
• Clay is the smallest particle among the other two types of soil.
• The particles in this soil are tightly packed together with each other with very little or no airspace.
• This soil has very good water storage qualities and makes it hard for moisture and air to penetrate into it.
• It is very sticky to the touch when wet, but smooth when dried.
• Clay is the densest and heaviest type of soil that does not drain well or provide space for plant roots to flourish.

Additional Information

• Sand is a granular material composed of finely divided rock and mineral particles.
• Sand has various compositions but is defined by its grain size.
• Silt is granular material of a size between sand and clay and composed mostly of broken grains of quartz.
• Silt may occur as soil or as sediment mixed in suspension with water.
• Loam is soil composed mostly of sand, silt, and a smaller amount of clay.
• By weight, its mineral composition is about 40–40–20% concentration of sand–silt–clay.

The correct answer is Renu Devi.

Key Points

• On 16 November 2020, Renu Devi from Bettiah took oath as one of the Deputy Chief Ministers of Bihar. With this, she became the first women Deputy CM of Bihar.
• Along with her, Tarkishore Prasad also took oath as one of the Deputy Chief Ministers.
• Nitish Kumar was sworn in as the Chief Minister for the seventh time and for the fourth consecutive term, in presence of top leaders of the NDA, including Union Home minister Amit Shah and BJP national president JP Nadda. As CM, he had a continuous run since November 2005, except for the period in 2014-15.
• JDU leaders Vijay Kumar Choudhary, Vijendra Prasad Yadav, Ashok Choudhary, and Mewa Lal Choudhary also took oath as Cabinet Ministers of the state.

Additional Information 

• Basic Information about Bihar:(Sept 2022)
• Chief Minister: Nitish Kumar​
• Governor: Phagu Chauhan
• State Animal: Gaur (Mithun)
• State Bird: House Sparrow
• State Flower: Kachnar
• State Tree: Peepal Tree
• State Fruit: Mango
• Wildlife Sanctuaries: Valmiki Tiger Reserve, Gautam Buddha Bird Sanctuary, Vikramshila Gangetic Dolphin Sanctuary, Kanwar Jheel Bird Sanctuary

The correct answer is Compression.

Key Points

• A sound wave is a pattern of disturbance caused by the energy travelling away from the source of the sound.
• Sound waves are longitudinal waves.
• Higher frequency corresponds to a higher pitch while a lower frequency corresponds to a lower pitch.
• Amplitude corresponds to the loudness of the sound.
• Since sound at all frequencies has the same speed in the air, a change in frequency means a change in wavelength.
• The sound waves travel the fastest through solids.
• The speed of sound is the lowest in gases.
• The number of rarefactions and compressions that occur per unit of time is known as the frequency of a sound wave.

Additional Information 

• Electromagnetic waves are not a characteristic of a sound wave.
• Electromagnetic waves differ from mechanical waves in that they do not require a medium to propagate.
• This means that electromagnetic waves can travel not only through the air and solid materials but also through the vacuum of space.
• Radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays, all of these waves form part of the electromagnetic spectrum.

The correct answer is Arunachal Pradesh.

Key Points

• A group of researchers have recorded a new serpent and named it Salazar’s pit viper.
• The new species, Trimeresurus Salazar is the fifth variety of reptiles to have been discovered in Arunachal Pradesh in a little more than a year.
• The name was inspired by Salazar Slytherin, the co-founder of J.K. Rowlings’ fictional Hogwarts School of Witchcraft and Wizardry.

Additional Information

• Arunachal Pradesh:
• State Animal - Gayal.
• State Bird - Great Hornbill.
• National Parks - Mouling National Park, Namdapha National Park.
• Dams - Dibang Dam (Dibang River), Ranganadi Dam (Ranganadi River), Subansiri Lower Dam (Subansiri River).

The correct answer is P. V. Narasimha Rao.

Key Points

• The Insider is an account of the political scenario of India during the time of the former Prime Minister P.V. Narasimha Rao, who is the author of the book.
• Pamulaparthi Venkata Narasimha Rao (28 June 1921 – 23 December 2004) was an Indian lawyer and politician who served as the 9th Prime Minister of India from 1991 to 1996.
• He is often referred to as the "Father of Indian Economic Reforms".
• He employed Dr. Manmohan Singh as his Finance Minister to embark on a historic economic transition.
• Rao was also referred to as Chanakya for his ability to steer economic and political legislation through the parliament at a time when he headed a minority government.

Additional Information

• Dr. Oscar Fernandes was an Indian politician, a senior Indian National Congress leader and was the Union Cabinet Minister for Transport, Road and Highways and Labour and Employment, Government of India in UPA government.
• Kunwar Natwar Singh, IFS is an Indian diplomat and politician who served as the Minister of External Affairs from May 2004 to December 2005.
• Manmohan Singh is an Indian politician, economist and statesman who has been the 13th prime minister of India from 2004 to 2014.
• He is also the third longest serving prime minister after Jawaharlal Nehru and Indira Gandhi.

The correct answer is Uttarakhand.

Key Points

• Hurka Baul is a dance form prevalent in the state of Uttarakhand.
• The Hurkiya Baul dance is done in the fields while paddy and maize are being grown.
• After executing the preceding ceremony on a set day, the dance is done in several fields to various tunes.

Additional Information

• The dance is named after the Hurka, which is the drum that provides musical accompaniment to the dance, and Baul, which is the song.
• The only musical instrument used in the dance is the hurka.
• The singer relates the story of conflicts and heroic acts slowly and interestingly in the Hurka Baul dance performance. The actors usually arrive from two directions and execute the story in a sequence of snappy motions and appealing dancing styles.
• Other important dance forms of Uttarakhand are
• Pandav Nritya,
• Bhotia Dance,
• Cholia Dance,
• Jhora Dance, and
• Mukhota Dance.

The correct answer is Rakhigrahi.

Key Points

• The port cities of the Indus Valley Civilisation are
• Sutkagendor,
• Balakot,
• Lothal,
• Allahdino, and
• Kuntasi.
• ​Rakhigarhi is NOT a port town of the Indus Valley Civilisation.

Additional Information

• Rakhigarhi is the largest Harappan site in the Indian subcontinent.
• At Rakhigarhi, excavations are being done to trace its beginnings and to study its gradual evolution from 6000 BCE (Pre-Harappan phase) to 2500 BCE.
• The site was excavated by Amarendra Nath of ASI.
• The site is located in the Sarasvati river plain, some 27 km from the seasonal Ghaggar river.
• In May 2012, the Global Heritage Fund, declared Rakhigarhi one of the 10 most endangered heritage sites in Asia.

The correct answer is Father of Indian unrest.

Key Points 

• The book 'Indian Unrest' written by Valentine Chirol, Stated Tilak the "Father of Indian unrest".
• He was also given the title of "Lokmanya" which means accepted by the people.
• Bal Gangadhar Tilak was born on 23rd July 1856 in Maharashtra.
• He was an extremist leader and actively participated in the struggles of the Indian national movement.
• He stressed the need for self-rule.
• He was a prominent Extremist leader.

Additional Information

• He started a Marathi newspaper called "Kesari" and Maratha in English.
• He wrote "Arctic Home in the Vedas" and "Gita Rahashya".
• Bal Gangadhar Tilak popularised the Vinayaka Chaturthi festival to be held in public so as to reduce the gap between Brahmins and Non-brahmins.
• V. O. Chidambaram is an ardent follower of Bal Gangadhar Tilak.
• Bal Gangadhar Tilak set up his Indian Home Rule League in April 1916.
• Bal Gangadhar Tilak held his first Home Rule meeting at Belgaum. Poona was the headquarters of his league.

The Correct Answer is Article 72.

Key Points

• The pardoning powers of the President come under Article 72 of the constitution.
• Article 72 of the Constitution empowers the President to grant pardons to persons who have been tried and convicted of any offence in all cases where the:  
• Punishment or sentence is for an offence against a Union Law.
• Punishment or sentence is by a court-martial (military court).
• The Sentence is a sentence of death.

Additional Information

• Pardon: To free the criminal from all Punishments.
• Commutation: To substitute one form of punishment with another without changing the sentence i.e reduction of a judicial sentence, especially a sentence of death to the another less severe punishment.
• Respite: Change the nature of punishment due to some special condition i.e awarding lesser punishment due to the pregnancy of women offenders.
• Reprieve: Temporarily deferred punishment.
• Remission: Reducing the period of a sentence without changing its character.

Important Points 

The correct answer is 75%.

Key Points

• The National Food Security Act (NFSA 2013) is also known as the Right to Food Act.
• The act includes Midday Meal Scheme, Public Distribution System (PDS), and Integrated Child Development Services Scheme, and also recognizes maternity entitlements.
• The Midday Meal Scheme and the Integrated Child Development Services Scheme are for the benefit of every eligible individual whereas the PDS will reach about two-thirds of the population i.e 50% in urban areas and 75% in rural areas.
• Under PDS beneficiaries are entitled to 5 Kilograms of cereals per person per month and the prices of cereals are Rice at Rs 3 and Wheat at Rs 2 Per Kilograms.

Additional Information

• It provides food and nutritional security life at affordable prices i.e subsidized food grains to approximately two-thirds of India's 1.2 billion people.
• The act was enacted by Manmohan Singh's Indian National Congress-led UPA (United Progressive Alliance) Government.
• The act was introduced in the Parliament on 22nd December 2011, promulgated a presidential ordinance on 5th July 2013, signed on 10th September 2013, and enacted into law on 12th September 2013.
• Daily free cereals were provided to eligible lactating mothers, pregnant women, and certain categories of children.
• The Antyodaya Anna Yojana was launched on 25th December 2000 under the Prime Ministership of Atal Bihari Vajpayeeji.
• The Antyodaya Anna Yojana aimed to provide highly subsidized food to millions of the poorest families.

The correct answer is India.

Key Points

• India to host Cricket World Cup 2023.
• The 2023 Men's ICC Cricket World Cup will be the 13th edition of the ICC Men's Cricket World Cup, scheduled to be hosted by India during October and November 2023.

Additional Information

• There are 12 ICC World Cups that have been played so far.
• England Wales has hosted the Cricket World Cup 5 times.
• India has hosted the Cricket World Cup 3 times in association with three other countries but now India will host the Cricket World Cup 2023 alone.
• This will be the first time that Cricket World Cup 2023 would be completely held on Indian soil.
• 2011 - India, Sri Lanka, Bangladesh
• 2015 - Australia, New Zealand

The correct answer is Sumit Nagal.

Key Points 

• Sumit Nagal became the first Indian tennis player to win a round at a Grand Slam in seven years when he downed American Bradley
• Somdev Verman was the last Indian to win a main draw match, it was in 2013 when he beat Slovakia's Lukas Lacko
• Sumit Nangal is from Harayana, Jhajjar districts

Additional Information 

• Prajnesh Gunneswaran is an Indian tennis player.
• He has won 2 ATP Challenger and 8 ITF titles in singles and 1 ITF title in doubles.
• Mukund Sasipisun is an Indian tennis player.
• Sasipisun has a career high ATP singles ranking of 229 achieved on 17 October 2019.
• Ramanathan Ramkumar is an Indian professional tennis player.

The correct answer is 1765.

Key Points

• The Mughal Emperor Shah Alam II granted the Diwani of Bengal, Bihar, and Orissa to the East India Company in 1765.
• Diwani of Bengal- Result of Battle of Buxar
• The Battle of Buxar was fought between the British and the combined forces of Mir Qasim, Shuja Ud Daulah who was the Nawab of Awadh, and the Mughal Emperor Shah Alam II. This battle was won by the Britishers.
• The result of this battle was, the Diwani that is the right to collect the revenue of Bengal, Bihar, and Odisha was sanctioned to the British by the Mughal Emperor in return for an annual sum of money and in the districts of Allahabad and Kora.

Additional Information 

• Treaty of Allahabad
• The Treaty of Allahabad was signed on 12 August 1765, between the Mughal Emperor Shah Alam II, son of the late Emperor Alamgir II, and Robert Clive, of the East India Company, in the aftermath of the Battle of Buxar of 23 October 1764.
• The treaty was handwritten by I'tisam-ud-Din, a Bengali Muslim scribe and diplomat to the Mughal Empire.
• The Treaty marked the political and constitutional involvement and the beginning of British rule in India.
• Based on the terms of the agreement, Alam granted the East India Company Diwani rights, or the right to collect taxes on behalf of the Emperor from the eastern province of Bengal-Bihar-Orissa.
• These rights allowed the company to collect revenue directly from the people of Bengal, Bihar, and Orissa.

The correct answer is South Asia.

Key Points

• South Asia is the fastest growing in human development progress as per the 'Human Development Report 2019'.
• This region in human development progress witnessed a 46% growth from 1990-2018.
• It is followed by East Asia and the Pacific at 43%.

Additional Information

• India ranked 131 among 189 countries on the Human Development Index (HDI) for 2019, slipping two places from the previous year, according to the Human Development Report (HDR) 2020.
• The HDI is a statistical tool used to measure a country’s overall achievement in its social and economic dimensions.
• The three dimensions included in the HDI index are:
• Long and Healthy Life
• Knowledge
• Decent Standard of Living

The correct answer is It is a life-saving gas.

Important Points 

• Carbon monoxide (CO) is produced due to incomplete combustion of fossil fuels, metallurgical operations, automobile emission, cigarette smoking.
• It is combustible, may serve as a fuel source and can form explosive mixtures with air.
• It easily combines with haemoglobin and produces carboxyhaemoglobin which impairs oxygen transport resulting in headache, decreased vision, cardiovascular disease, and asphyxia.
• It reduces the oxygen-carrying capacity of the blood.
• It is only slightly soluble in water, blood serum and plasma.
• It is a colourless and odourless gas.
• It is not a persistent pollutant as such it combines with oxygen to form CO2, which is further removed from the atmosphere naturally by the process of photosynthesis.
• Hence It is not a life-saving gas.

The correct answer is State Bank of India.

Key Points

• On 30 April 1955, the Imperial Bank of India has renamed the State Bank of India.
• The Imperial Bank of India was founded by J. M. Keynes on 27 January 1921.
• It was an amalgamation of the three Presidency Banks- Bank of Bengal, Bank of Madras, and Bank of Bombay.
• Its headquarters is in Mumbai, Maharashtra.

Additional Information

• Imperial Bank of India was established on 27 January 1921.
• It was done by merging three presidential banks into a single banking entity.
• Bank of Bengal (2 June 1806)
• Bank of Bombay (15 April 1840)
• bank of Madras (1 July 1843)
• It was one of the oldest and largest banks in the Indian sub-continent.
• Initially, it acted as Central Bank for British India, before the establishment of the Reserve Bank of India in 1935.
• Headquarters: Bombay, Bombay State, India.

The correct answer is New Delhi

Key Points

• Environment, Forest, and Climate Change Minister Bhupender Yadav dedicated the first functional Smog Tower in India at Anand Vihar, New Delhi on 7 September 2021.
• The smog tower is a structure designed as a large-scale air purifier to reduce pollution particles in surrounding areas.
• Built by Tata Company, the tower has a capacity of 1,000 cubic metres per second.

Important Points 

• ​The smog tower at Anand Vihar, with a height of over 20 metres, is of downdraft type - polluted air comes in from the top of the tower and clean air comes out of the bottom - and is intended for the localised reduction in particulate matter.
• The filtration system used in the tower has been designed by the University of Minnesota with an expected efficiency of 90 per cent.
• Forty fan units have been installed to provide a design airflow rate of 1,000 m3/sec

The correct answer is 1921.

Important Points

• Great Divide in the demographic history of India
• The year 1921 is taken as the demographic divide for the reason that before this year, the population was not stable, sometimes it increased and at other times it decreased.
• Prior to 1921, the course of population growth was undulating (several ups and downs, mainly because of mortality differentials).
• From 1911–to 1921, India experienced a negative growth rate in its population.
• After 1921, Mortality started declining as a result of improvements in public health measures while fertility remains unchanged. Which caused a continuous and rapid increase in population growth rate in upcoming decades.
• India’s population grew slowly till the 1920s.
• The year 1921 is a “year of the great divide” in the demographic history of India when mortality started to decline leading to an acceleration in the rate of population growth.
• During the next three decades (1921-51) the rate of population growth continued at a level of over one per cent per annum.
• The slight dip in the growth rate in 1941-51 partly reflects the Bengal famine of 1942-43 and dislocation due to the partition of India in 1947.
• After independence, the rate of population growth accelerated considerably because of the extension of public health services. It is growing increasingly since then.

The correct answer is A Sivathanu Pillai.

Key Points

• Dr AS Pillai has authored the book "40 Years with Abdul Kalam- Untold Stories".
• The author had the opportunity of working with this great soul closely for more than four decades and shared difficulties, failures, and successes.
• This book discusses many of the interesting events, mostly the untold ones, during this journey, including those at ISRO, DRDO, and BrahMos, and interactions with the corridors of power.
• Manufacturing is the key to economic prosperity and the chapter on Strategic Industries gives a complete insight into how India has steadily progressed in modern India.
• It was a long and unique journey for the author with the most appreciated true Indian, KALAM the Brahmarishi.

Additional Information 

• Dr Abdul Kalam, a great human being, established a unique place in the hearts of Indians with his admirable virtues and combined a simple lifestyle with strong willpower to envision an empowered nation.
• Without any ego, he could adapt himself to the situation to win over the person in front of him or would instantly become a captivating communicator to the audience. Everyone, irrespective of age, position, or religion, who met him on different occasions, celebrates him as a friend.
• As the eleventh President of India, he totally changed the perception of India in the global arena.

The correct answer is Gandharva marriage.

Key Points

• Gandharva marriage is a kind of love marriage which is called the Gandharva vivah.
• In this marriage, there is no need for family permission so no consent of their family.
• It does not allow any space of dowry or any kind of varna relation.

Additional Information

The correct answer is IDBI Bank.

Key Points

• IDBI Bank has introduced banking services on WhatsApp for its customers.
• This launch is a part of sustained initiatives the Bank has taken to enable customers to access banking services remotely at their convenience.
• WhatsApp Banking service will be offered through a dedicated WhatsApp-verified number ensuring end-to-end encryption.

Additional Information

• Whatsapp was launched in the year 2009 in California, the USA.
• It was co-founded by Jan Koum and Brian Acton.
• Facebook Inc. acquired the company in February 2014 for $19bn.
• Abhijit Bose is the head of Whatsapp in India.
• India is the biggest market for Whatsapp with 400 million users.

Given:

A boat takes 40% less time to travel a certain distance in still water than to cover two times of the same distance downstream.

Concept used:

Time = Distance/Speed

Downstream = u + v

Here, u = speed of the object

v = speed of the stream

The speed of the boat in still water is 25 km/h

Calculation:

Let the speed of the stream be 'v' km/h

And let the distance covered be 'x' km

$\rm\frac{x}{25}=\frac{60}{100}\times\frac{2x}{25+v}$

⇒ $\rm\frac{x}{25}=\frac{3}{5}\times\frac{2x}{25+v}$

⇒ $\rm\frac{x}{25}=\frac{6x}{125+5v}$

⇒ 125 + 5v = 150

⇒ 5v = 25

⇒ v = 5

So, speed of the stream = 5 km/h

∴ The speed (in km/h) of the stream is 5.

Given:

Pipes A and B can fill a tank in 36 minutes and 45 minutes

Concept used:

Total work = Time taken by the pipes × efficiency of the pipes

Calculation:

Let the efficiency of the leakage be (- x) units/minute

LCM of 36 and 45 = 180

So, Let the total work be 180 units

Now, efficiency of pipe A = 180/36 = 5 units/minute

And, efficiency of pipe B = 180/45 = 4 units/minute

According to the question,

All three pipes were opened for the first 20 minutes, and then the leakage pipe was sealed and the tank was full in 15 minutes.

i.e., (9 - x) × 20 + 15 × 9 = 180

⇒ 180 - 20x + 135 = 180

⇒ - 20x = - 135

⇒ x = 135/20 or 27/4

Now, time taken by the leakage pipe to empty the tank = Total work\Efficiency

⇒ 180/(27/4) ⇒ 180 × (4/27)

⇒ 80/3

⇒ $26\frac{2}{3}$ minutes

∴ The leak alone can empty the full tank in $26\frac{2}{3}$ minutes.

Shortcut Trick

When the Principal and Rate of interest are the same, Simple Interest is directly proportional to Time.

SI ∝ T

Ratio of SI = T₁ : T₂

Ratio of SI = 4 : 6

Ratio of SI = 2 : 3

∴ The correct answer is 2 : 3.

Alternate Method

Given:

Let the Principal = P

Let the Rate of Interest = R% p.a.

Time period 1 (T₁) = 4 years

Time period 2 (T₂) = 6 years

Formula Used:

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

Calculations:

⇒ Simple Interest for 4 years (SI₁) = (P × R × 4) ÷ 100

⇒ Simple Interest for 6 years (SI₂) = (P × R × 6) ÷ 100

⇒ Ratio = SI₁ : SI₂

⇒ Ratio = [(P × R × 4) ÷ 100] : [(P × R × 6) ÷ 100]

⇒ Ratio = 4 : 6

⇒ Ratio = 2 : 3

∴ The correct answer is 2 : 3.

Additional Information

Simple Interest Concept

Simple Interest is calculated only on the initial principal sum. The interest earned every year remains constant. Formula: SI = (P × R × T) ÷ 100.

Proportionality Rules in SI

When Principal and Rate are fixed, SI is directly proportional to Time. Similarly, when Principal and Time are fixed, SI is directly proportional to the Rate.

Sum Doubling Time

For a sum to double itself under simple interest, the accumulated interest must be equal to the principal amount. The required time can be found directly using T = 100 ÷ R.

Amount Calculation

The total accumulated amount at the end of the time period is the sum of the Principal and Simple Interest. Formula: A = P(1 + (R × T) ÷ 100).

Given:

Concrete consists of 3 parts of lime, 7 parts of gravel and 6 parts of sand.

Calculation:

Ratio of lime : gravel : sand = 3 : 7 : 6

Now,

In 800 kg of concrete,

Gravel = 800 × [7/(3 + 7 + 6)]

⇒ 800 × (7/16)

⇒ 350

So, required gravel = 350 kg

∴ Gravel is 350 (in kg).

Given:

$\rm \frac{45+\frac{6}{7}\ of\ 21-8}{64-\frac{3}{5}\ of\ (28-13)}$

Concept used:

Calculation:

$\rm \frac{45+\frac{6}{7}\ of\ 21-8}{64-\frac{3}{5}\ of\ (28-13)}$

⇒ $\rm \frac{45+\frac{6}{7}\ of\ 21-8}{64-\frac{3}{5}\ of\ 15}$

⇒ $\rm \frac{45+18-8}{64-9}$

⇒ $\rm \frac{55}{55}$

⇒ 1

∴ The required answer is 1.

Shortcut Trick

$CP \over MP$ = $100-D \over 100+P$

Where, D = discount%, P = profit%

According to the question,

$CP \over MP$ = $100-15 \over 100+70$

$CP \over MP$ = $85 \over 170$

$CP \over MP$ = $1 \over 2$

Thus, CP:MP = 1:2

The required ratio = (2-1)/1 × 100 = 100%

Hence, the marked price should be marked at 100% above the cost price.

Alternate Method

Given:

A shopkeeper allows a discount of 15% on the marked price of goods and still gains 70% on the whole. 

Calculation:

Let the cost price of the goods be 100x

So, selling price = 100x + 100x × 70%

⇒ 170x

According to the question,

Marked price - marked price × 15% = 170x

⇒ 0.85Marked price = 170x

⇒ Marked price = 170x/0.85

⇒ Marked price = 200x

So, extra = 200x - 100x

⇒ 100x

Required % = (100x/100x) × 100

⇒ 100

∴ He marks his goods at 100% above the cost price.

Given:

An article was sold at 75% of its marked price and thus gained 25%.

Calculation:

Let the marked price be ₹100 units

So, selling price = 100 units × 75%

⇒ ₹75 units

Now,

Cost price + Cost price × 25% = 75a

⇒ 1.25cost price = 75 units

⇒ Cost price = 75 units/1.25

⇒ ₹60 units

∴ The cost price of the article is ₹60 units.

Shortcut Trick

Ratio of A : B = 120 : 100 = 6 : 5

Ratio of B : C = 125 : 100 = 5 : 4

Combined Ratio A : B : C = 6 : 5 : 4

Total parts = 6 + 5 + 4 = 15 units → ₹15,000

Share of C = 4 units = (15,000 ÷ 15) × 4 = ₹4,000

∴ The correct answer is ₹4,000.

Alternate Method

Given: Total amount = ₹15,000, A gets 20% more than B, and B gets 25% more than C.

⇒ Let the share of C be 100x.

⇒ Share of B = 100x + 25% of 100x = 125x.

⇒ Share of A = 125x + 20% of 125x = 125x + 25x = 150x.

⇒ Total sum = 150x + 125x + 100x = 375x.

⇒ 375x = 15,000

⇒ x = 15,000 ÷ 375 = 40.

⇒ C's share = 100x = 100 × 40 = ₹4,000.

∴ The correct answer is ₹4,000.

Additional Information

Percentage Increase Formula

New Value = Original Value × (100 + Increase%) ÷ 100.

Ratio Balancing

When combining A:B and B:C, ensure the value of the common term B is the same in both ratios to find the unified ratio A:B:C.

Sum Distribution

Share of any person = (Individual Ratio Part ÷ Sum of all Ratio Parts) × Total Amount.

Given:

Ajay can complete $\frac{5}{12}$ of a task in 20 days.

Calculation:

$\frac{5}{12}$ of the work can be completed in 20 days

So, the number of days to complete total work = 20 × $\frac{12}{5}$

⇒ 48 days

Now,

To complete $\frac{3}{4}$ of the task Ajay will take = 48 × $\frac{3}{4}$

⇒ 36 days

∴ He can complete $\frac{3}{4}$ of the task in 36 days.

Given:

$\rm \frac{\frac{3}{4}×1\frac{1}{2}÷2\frac{1}{4}+5\frac{1}{2}÷3\frac{2}{3}\ of\ \frac{2}{5}}{\frac{4}{5}\ of\ 7\frac{1}{2}÷\frac{3}{4}}$

Concept used:

Calculation:

$\rm \frac{\frac{3}{4}×1\frac{1}{2}÷2\frac{1}{4}+5\frac{1}{2}÷3\frac{2}{3}\ of\ \frac{2}{5}}{\frac{4}{5}\ of\ 7\frac{1}{2}÷\frac{3}{4}}$

⇒ $\rm \frac{\frac{3}{4}×\frac{3}{2}÷\frac{9}{4}+\frac{11}{2}÷\frac{11}{3}\ of\ \frac{2}{5}}{\frac{4}{5}\ of\ \frac{15}{2}÷\frac{3}{4}}$

⇒ $\rm \frac{\frac{3}{4}×\frac{3}{2}÷\frac{9}{4}+\frac{11}{2}÷\frac{22}{15}\ }{6÷\frac{3}{4}}$

⇒ $\rm \frac{\frac{3}{4}×\frac{3}{2}\times\frac{4}{9}+\frac{11}{2}\times\frac{15}{22}\ }{6\times\frac{4}{3}}$

⇒ $\rm \frac{\frac{1}{2}+\frac{15}{4}\ }{8}$

⇒ $\rm \frac{\frac{2 + 15}{4}\ }{8}$

⇒$\frac{17}{32}$

∴ The required answer is $\frac{17}{32}$.

Given:

A man traveled from place A to B at 30 km/h and from B to C at 45 km/h.

His average speed for the whole journey was 40 km/h. 

Formula used:

Average speed = Total distance/ Total time

Calculation:

Let the distance between A and B (AB) be 'x' km and the distance between B and C (BC) be 'y' km.

Then, Total distance = (x + y) km

And, Total time = (x/30 + y/45) hrs

According to the question,

(x + y)/(x/30 + y/45) = 40

⇒ [(x + y)/{(6x + 4y)/180}] = 40

⇒ 180x + 180y = 40(6x + 4y)

⇒ 180x + 180y = 240x + 160y

⇒ 240x - 180x = 180y - 160y

⇒ 60x = 20y

⇒ x : y = 1 : 3

∴ The required ratio is 1 : 3.

Given:

The surface area of a solid cube is 726 cm2

The radius of the cylinder = 11 cm

Formula used:

Total surface area of cube = 6(side)²

Volume of cube = (side)³

Calculation:

6(side)² = 726

⇒ (Side)² = 726/6

⇒ (Side)2 = 121

⇒ Side = 11 cm

So, volume of the cube = (11)³ = 1331 cm³

Let the height of the cylinder be 'h' cm

According to the question,

π × 11² × h = 1331

⇒ $\frac{22}{7}$ × 121× h = 1331

⇒ $\frac{22}{7}$h = 11

⇒ h = 11 × $\frac{7}{22}$

⇒ h = 3.5

∴ The height (in cm) of the cylinder is 3.5.

Given:

The cost price of the article is ₹600.

The sales price of an article, including the sales tax, is ₹772.8.

Profit = 15%

Concept used:

Selling price = Cost price + Cost price × profit%

Calculation:

According to the question,

Selling price without sales tax = 600 + 600 × 15%

⇒ 690

So, amount of sales tax = 772.8 - 690

⇒ 82.8

% of sales tax = (82.8/690) × 100

⇒ 12

∴ The rate of sales tax is 12%.

Given:

A number when divided by 65, gives 31 as the remainder.

Calculation:

Let the number be (65x + 31) [As 65 > 31]

Now,

When we divide 65x by 13 we get 0 as the remainder

Again

If we divide 31 by 13 we get 5 as the remainder

So, the required remainder for the number = 5

∴ The same number when divided by 13, gives the remainder of 5.

Given:

546789x531y is divisible by 88

Concept used:

1. If the last three digits of a number are divisible by 8, then the number is completely divisible by 8

2. If the difference of the sum of alternative digits of a number is 0 or divisible by 11, then that number is divisible by 11 completely.

3. If any number is completely divisible by 88 then the number is also completely divisible by 8 and 11

Calculation:

Given number is completely divisible by 88 then it is also divisible by 11 and 8

When the number is divisible by 8 then,

31y is divisible by 8 when y = 2      ----(1)

When the number is divisible by 11 then,

(5 + 6 + 8 + x + 3 + y) – (4 + 7 + 9 + 5 + 1)

⇒ 22 + x + y – 26

⇒ x + y – 4 

⇒ x + 2 – 4      ----(From eq (1))

⇒ x – 2

Now,

For x = 2,

x – 2 = 0

So, x = 2

Now,

(x - y) ⇒ 2 - 2

⇒ 0 

∴ The required answer is 0.

Shortcut Trick

Work remaining after 4 days for 20 persons = 20 × (8 − 4) = 80 units.

Remaining persons after COVID 19 infection = 20 − 4 = 16 persons.

Days to finish remaining work = 80 ÷ 16 = 5 days.

Total time taken = 4 days (initial) + 5 days (remaining) = 9 days.

∴ The correct answer is 9 days.

Alternate Method

Given: Initial 20 persons were set to work for 8 days. After 4 days, 4 persons left the job.

Formula Used: Total Work = Number of Persons × Number of Days

⇒ Total Work planned = 20 × 8 = 160 units

⇒ Work completed in first 4 days = 20 × 4 = 80 units

⇒ Remaining Work = 160 − 80 = 80 units

⇒ Remaining Persons = 20 − 4 = 16 persons

⇒ Extra days required = 80 ÷ 16 = 5 days

⇒ Total days required = 4 + 5 = 9 days

∴ The correct answer is 9 days.

Additional Information

Chain Rule Formula

The general relation is M₁D₁H₁/W₁ = M₂D₂H₂/W₂, where M = Men, D = Days, H = Hours, and W = Work.

Inverse Proportion

For a constant amount of work, the number of persons is inversely proportional to the time taken (M ∝ 1/D).

Work and Efficiency

Efficiency = Total Work ÷ Total Time. If efficiency decreases due to fewer people, time increases proportionally.

Given:

Principle = Rs. 50,000

Time = 2 years

Rate = 2%

Concept Used:

A = P(1 + R/100)ⁿ,

Where,

A is amount,

P is principle,

R is rate of interest

n is number of years

Calculation:

Using the formula, 

For 1^st year,

⇒ A = 50,000(1 + 2/100) = 50,000 × 102/100 = 51,000

For 2nd year,

⇒ A = 50,000(1 + 2/100)² = 50,000(51/50)²

⇒ A = 50,000 × 51/50 × 51/50 = 52,020

Difference = 52020 - 51000 = 1020

∴ Difference in the amount is Rs. 1,020.

Given:

The marked price of an article is ₹500. After giving three successive discounts of x%, 20%, and x%, it is sold for ₹309.76.

Concept used:

Marked price × (100 - discount)%

Calculation:

According to the question,

500 × $\frac{100-x}{100} × \frac{80}{100} × \frac{100 - x}{100}$= 309.76

⇒ 400 × $\frac{100-x}{100} × \frac{100 - x}{100}$= 309.76

⇒ $\frac{4(100 - x)^2}{100}$= 309.76

⇒ $\frac{(100 - x)^2}{100}$= 77.44

⇒ (100 - x)² = 7744

⇒ (100 - x)2 = 88²

⇒ (100 - 12)2 = 882

S0, x = 12

∴ The value of x is 12.

Alternate Method

Selling Price = [(1 - d1/100) × (1 - d2/100) × (1 - d3/100)] × MP

Where, d1 = d3 = x%, and d2 = 20%  

309.76 = (1 - x/100) × (1 - 20/100) ×(1 - x/100) × 500

309.76 = (1 - x/100)2 × 4/5 × 500

309.76 = (1 - x/100)2 × 400

309.76/400 = (1 - x/100)2  

17.6/20 = (1 - x/100)

176/200 = (1 - x/100)

22/25 = (1 - x/100)

1 - 22/25 = x/100

3/25 = x/100

12 = x

Hence, the correct answer is 12.

Shortcut Trick

Use the Successive Percentage logic for the Area ratio.

Old Area = 100% × 100% = 100 units

New Area = (100 + 10)% × (100 − 20)% = 110% × 80% = 88 units

Ratio of Old Area to New Area = 100 : 88 = 25 : 22

∴ The correct answer is 25 : 22.

Alternate Method

Given:

Length of rectangular field (L₁) = 20 m

Breadth of rectangular field (B₁) = 10 m

Formula Used:

Area of Rectangle = Length × Breadth

Calculations:

⇒ Old Area = L₁ × B₁ = 20 × 10 = 200 m²

⇒ New Length (L₂) = 20 + 10% of 20 = 20 + 2 = 22 m

⇒ New Breadth (B₂) = 10 − 20% of 10 = 10 − 2 = 8 m

⇒ New Area = L₂ × B₂ = 22 × 8 = 176 m²

⇒ Ratio = Old Area : New Area

⇒ Ratio = 200 : 176

⇒ Ratio = (200 ÷ 8) : (176 ÷ 8)

⇒ Ratio = 25 : 22

∴ The correct answer is 25 : 22.

Additional Information

Area and Perimeter of Rectangle

The Area is Length × Breadth and the Perimeter is 2 × (Length + Breadth).

Successive Percentage Change

For two percentage changes x% and y%, the effective change is (x + y + xy/100)%. Here, x = +10 and y = −20.

Ratio and Simplification

To simplify a ratio A : B, divide both terms by their Highest Common Factor (HCF).

Given:

Six years ago, the average age of A, B, and C was 29 years.

Eight years ago, the average age of A and C was 27 years.

Concept used:

Average = Sum of elements/Number of elements

Calculation:

Total age of A, B, and C 6 years ago = 29 × 3 = 87

Total age now = 87 + (3 × 6)

⇒ 87 + 18 = 105 years

Again,

Total age of A and C 8 years age = 27 × 2 = 54

Total age now = 54 + (2 × 8)

⇒ 54 + 16 = 70 years

So, the present age of B = 105 - 70

⇒ 35 years

∴ The present age (in years) of B is 35.

Shortcut Trick

Average weight of two new students = (54 + 50)/2

104/2 = 52, which is equal to the average of the initial 20 students.

i.e., The deviation of their average from the old average is 0 ⇒ 52 - 52 = 0

∴ There is no change in the new average even after including these 2 students.

i.e., The new average of a total of 22 students = 52

Ratio of new average to old average = 52 : 52 = 1 : 1

Hence, the correct answer is 1 : 1

Alternate Method

Given:

The average weight of 20 girls in a school was 52 kg

Two new students of weights 54 kg and 50 kg were admitted

Concept used:

Average = Sum of elements/No. of elements

Calculation:

Total weight of 20 girls = 52 × 20

⇒ 1040 kg

After two new students total weight = 1040 + 54 + 50

⇒ 1144

New average = 1144/(22)

⇒ 52 kg

Ratio = 52 : 52

⇒ 1 : 1

∴ The ratio of this new average to the old one is 1 : 1.

Given:

A sum of ₹600 becomes ₹850 in 3 years at simple interest.

Concept used:

S.I = (P × R × T)/100

Here, P = Sum, T = Time, R = Rate

Calculation:

Let the rate be R%

Interest = 850 - 600

⇒ 250

According to the question,

250 = (600 × 3 × R)/100

⇒ 250 = 18R

⇒ R = 250/18

⇒ R = $\frac{125}{9}$

So, rate = $\frac{125}{9}$%

∴ The rate is $\frac{125}{9}$%.

Given:

Ram gave 60% of the money to his wife

Gave 20% of the remaining money to each one of his 3 children

Spent 3/5 of left money 

Remaining amount is Rs. 9,600

Calculation:

Let the total amount be Rs. 10,000

Money gave to his wife,

60% of 10,000 = 60/100 × 10,000 = 6,000

Remaining = 10,000 - 6,000 = 4,000

20% of 4,000 to each children, 

⇒ 20/100 × 4,000 = 800

Total amount to children = 3 × 800 = 2,400 (because he has 3 children) 

Remaining amount = 4,000 - 2,400 = 1,600

Spent 3/5 of 1,600 = 3/5 × 1,600 = 960

Remaining amount = 1,600 - 960 = 640

According to the question, 

⇒ 640 = 9,600

⇒ 1 = 9,600/640 = 15

Money gave to Wife = 6,000 × 15 = 90,000

∴ The money Ram gave to his wife is Rs. 90,000

Shortcut Trick Let the number be N

N × 40% - N × 30% =70

N × 10% = 70 

N × 1/10 = 70

N = 70 × 10

N = 700

Hence, the correct answer is 700.

Alternate Method

Given:

The difference between 40% of a number and 30% of the same number is 70

Calculation:

Let the number be 100x

Then 40% of 100x = 100x × (40/100)

⇒ 40x

30% of 100x = 100x × (30/100)

⇒ 30x

Difference = 40x - 30x = 10x

Here, 10x = 70

⇒ x = 7

So, 100x = 100 × 7

⇒ 700

So, the number is 700

∴ The required answer is 700.

Shortcut Trick

Ratio of Cost Price (CP) to Marked Price (MP) = (100 − 25) : 100 = 75 : 100 = 3 : 4.

Selling Price (SP) = 85% of MP = 4 × 0.85 = 3.4 units.

Profit = SP − CP = 3.4 − 3 = 0.4 units.

Profit % = (0.4 ÷ 3) × 100 = 40 ÷ 3 = 13.33%.

∴ The correct answer is 13.33%.

Alternate Method

Given: Cost Price (CP) = ₹2,250, Markup Reduction = 25%, Discount = 15%.

Formula: Marked Price (MP) = CP ÷ (1 − Markup Rate); Selling Price (SP) = MP × (1 − Discount Rate).

⇒ Marked Price (MP) = 2250 ÷ (75/100) = 2250 × (4/3) = ₹3,000.

⇒ Selling Price (SP) = 3000 × (100 − 15)/100 = 3000 × 0.85 = ₹2,550.

⇒ Profit = 2550 − 2250 = ₹300.

⇒ Profit % = (300 ÷ 2250) × 100 = (1 ÷ 7.5) × 100 = 13.33%.

∴ The correct answer is 13.33%.

Additional Information

Direct CP and MP Relationship

The ratio of Marked Price to Cost Price can be directly found using the formula: MP/CP = (100 + Profit%)/(100 − Discount%).

Markup Percentage

Markup % is the percentage by which the Marked Price is higher than the Cost Price: Markup % = [(MP − CP)/CP] × 100.

Net Profit with Successive Changes

If an article is marked up by m% and then a discount of d% is given, the net Profit % = m − d − (m × d)/100.

The correct answer is option 2) i.e. 'are some boring patches.'

 

Key Points 

• The error lies in Part (is few boring patches) of the sentence.
• As per instructions, the remaining portion of the sentence is correct.
• According to the rules of adjectives, 'some' and 'few' are quantifiers.
• 'Few' is used to refer to countable numbers which are very finite.
• 'Some' is used to refer to uncountable numbers and the quantity of which is unknown.
• Here, the 'boring patches' in the well-written book are uncountable nouns.
• Therefore, in the erroneous part, the use of 'is few' in the sentence should be replaced with 'are some' to make it grammatically correct.
• Therefore, the correct answer is Option 2.

 

Correct sentence: The book is well-written but there are some boring patches in it.

The correct answer is option 1) i.e. 'Disappear.'

Key Points 

• Let's look at the meanings of the given word and marked option:

 

• ​Let's look at the meanings of the other given options:

 

• Hence from the given meanings, we find that 'Emerge' and 'Disappear' are antonyms.
• So, the correct answer is option 1.​​

Additional Information   

• Let's look at the synonyms and antonyms for the given word 'Emerge':
• Synonyms: appear, arrive, come up, crop up, develop.
• Antonyms: abandon, decrease, disappear, drop, fall.

The correct answer is option 4) i.e. 'Mundane.'

Key Points  

  

• Let's look at the meaning of the marked option:

• Example:
• I don't think Hershel paid much attention to the mundane things in life.
• ​Let's look at the meanings of the other given options:

• Hence, from the given meanings, we find that 'Mundane' is the correct one-word substitute.
• So, the correct answer is option 4.

 

Correct one-word substitute: Mundane.

The correct answer is option 3) i.e. 'venue.'

Key Points 

• Let's look at the meaning of the words given in the options:

• The context of the sentence is that the entry tickets were in high demand of the place of the public event.
• According to the above-mentioned points, the most appropriate word to fill in the blank is "venue."
• Therefore, the correct answer is Option 3.
• Another example:
• The venue for the FIFA World Cup 2022 is Qatar.

 

Complete Sentence: There was a huge demand for entry tickets at the venue.

The correct answer is option 3) i.e. 'Shrewd.'

Key Points   

• Let's look at the meaning of the given word:

• Let's look at the meaning of the words given in the options:

 

• Clearly, the word 'Shrewd' is closest in meaning to the given word 'Cunning.'
• Therefore, the correct synonym of the given word is option 3.

Additional Information    

• Let's look at the synonyms and antonyms for the given word 'Cunning':
• Synonyms: acute, deep, keen, knowing, sharp, slick, smart.
• Antonyms: blunt, coarse, dull, ignorant, obtuse, rough.

The correct answer is option 3) i.e. "To waste one's time and energy doing trivial things."

Key Points   

• Let’s look at the meaning of the given idiom/ phrase:
• The phrase 'To go round in circles' means 'to waste one's time and energy engaging in trivial, aimless, or futile activities and failing to make any progress as a result.' (तुच्छ, उद्देश्यहीन या व्यर्थ गतिविधियों में अपना समय और ऊर्जा बर्बाद करना और परिणामस्वरूप कोई प्रगति करने में असफल होना।)
• Example:
• ​The discussion about women's empowerment in our society kept going round in circles.
• Hence, the only possible answer is option 3 'To waste one's time and energy doing trivial things,' which exactly resembles the meaning of the given idiom/ phrase.

 

Correct meaning: To waste one's time and energy doing trivial things.

The correct answer is option 2) i.e. "Voluntere."

Key Points

• The correct spelling is 'Volunteer.'
• 'Volunteer' means 'a person who does something, especially helping other people, willingly and without being forced or paid to do it.' (एक व्यक्ति जो कुछ करता है, विशेष रूप से अन्य लोगों की मदद करता है, स्वेच्छा से और बिना मजबूर या भुगतान किए इसे करने के लिए)
• Example:
• ​The NGO is relying on volunteers to run the field work and answer the phone calls.
• Therefore, 'Voluntere' is incorrectly spelt among the given options.
• Hence, option 2 is the correct answer.​

Additional Information 

• Let's know the meaning of the other options: