SSC GD Constable Previous Year Paper (Held on: 6th December 2021 Shift 3)

The logic followed here is:

1. OQP → O + 2 = Q; Q - 1 = P
2. UYW → U + 4 = Y; Y - 2 = W
3. DHF → D + 4 = H; H - 2 = F
4. LPN → L + 4 = P; P - 2 = N

Hence, 'OQP' is the odd one out.

The code for each word is shown below:

Clearly, 'MAYANK' be written as 'ne' in that language.

Hence, 'ne' is the correct answer.

There are 9 members, C, D, E, F, G, H, I, J and K, in a joint family. There are three married couples in the family.

• D is a teacher and the brother of E and F.
• G is the mother of I.
• J is the wife of C, and C is the grandfather of I.
• E is the only daughter of C.
• K is the daughter of F and H.

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

D is the teacher and his wife is G.

Hence, ‘G’ is the correct answer.

The logic followed here is:

• 'Triangle’ is related to ‘Pyramid’ → A pyramid is a structure whose outer surfaces are triangular.

Similarly,

• ‘Rectangle’ is related to ‘________’ → Cuboid is a hexahedron, a six-faced solid whose outer surfaces are rectangle.

Hence, 'Cuboid' is the correct answer.

The figure that will come next in the following figure series is shown below:

1. Triangle shift their position downward in next figure then moved upward in next figure and so on.

2. Arrow rotate clockwise one step in second figure, then rotate two step clockwise in third figure, then rotate three step clockwise in fourth figure at last rotate four step clockwise in last figure. 

3. Star rotate anticlockwise one step in second figure, then rotate two step anticlockwise in third figure, then rotate three step anticlockwise in fourth figure at last rotate four step anticlockwise in last figure.

Hence, ‘option 1’ is the correct answer.

The logic followed here is:

Hence, 'OJL' is the correct answer.

Faces opposite to each other is shown below:

 → Cannot be formed as 2 and 4 are opposite faces.

 → Cannot be formed as 3 and 5 are opposite faces.

 → Can be formed.

 → Cannot be formed as 3 and 5 are opposite faces.

Hence, 'Only C' is the correct answer.

The logic followed here is Row - wise:

(First number)² + Third number = Second number

Row 1: 

• 3² + 4 = 9 + 4 = 13

And,

Row 2:  

• 4² + 11 = 16 + 11 =27

Similarly,

Row 3:  

• 6² + 31 = 36 + 31 = 67

Hence, '67' is the correct answer.

The Venn diagram that best represents the relationship between Dove, Bear, and Bird is:

Dove is a bird.

Bear is an animal.

Hence, 'option 1' is the correct answer.

The logic followed here is:

• 36 : 9 → 36 ÷ 4 = 9

Similarly,

• ? : 16 → ? ÷ 4 = 16
• ⇒ ? = 16 × 4
• ⇒ ? = 64

Hence, '64' is the correct answer.

The logic followed here is:

13 × 2 + 1 = 26 + 1 = 27

27 × 2 + 2 = 54 + 2 = 56

56 × 2 + 3 = 112 + 3 = 115

115 × 2 + 4 = 230 + 4 = 234

234 × 2 + 5 = 468 + 5 = 473

Hence, '473' is the correct answer.

Select the correct option that indicates the arrangement of the given words in the order in which they appear in an English dictionary.

1. Parade
2. Parallel
3. Peach
4. Peanut
5. Pearl

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

The logic followed here is:

Similarly,

Hence, 'QUVX' is the correct answer.

The logic followed here is :-

24391 is written as ≠∞ש*.

And

15678 is written as *β€µ£.

Similarly,

65432 will be written as :

Hence, the correct answer is "€β∞×≠".

Pranavi, Vinita, Rupa, Soumya, Bhavana, Urmila and Arohi are seven friends sitting in a circle, facing the centre of the circle.

1. Arohi is second to the left of Soumya and is the neighbour of Bhavana and Urmila.

2. Soumya is not a neighbour of Rupa or Bhavana.

Case II is eliminated based on the above statement.

3. Pranavi is a neighbour of Vinita and Rupa.

Based on the given information, the statement which is correct is: 

1. Arohi is sitting between Rupa and Pranavi. → False
2. Rupa is sitting between Bhavana and Pranavi. → True
3. Vinita is sitting between Bhavana and Pranavi. → False
4. Soumya is sitting between Urmila and Arohi. → False

Hence, 'Rupa is sitting between Bhavana and Pranavi' is the correct answer.

Given: 

The total cost price of two different refrigerators is 80,000.

The selling price of two different refrigerators is 88,000.

Let,

the cost price of two different refrigerators is x and y respectively.

So, x + y = 80,000 ---------------(i)

By selling one for 3/4 of its cost price and another for 4/3 of its cost price, she earns a profit of ₹8,000.

So, The selling price of two different refrigerators is 88,000. 

Therefore,

(3/4)x + (4/3)y = 88,000

⇒ (9x + 16y)/ 12 = 88,000

⇒ 9x + 16y = 1056000  ----------------(ii)

From, (i) and (ii) 

(9x + 16y) - (9x + 9y) = 1056000 - 720000

⇒ 9x + 16y - 9x  - 9y = 336000

⇒ 7y = 336000

⇒ y = 48000

Then x = 80000 - 48000 = 32000

Hence,  the cost price of the refrigerator which was bought at a higher price is 48000 rs.

Hence, the correct answer is "option (3)".

 

Alternate Method

     3              :              2

5X = 80000

X = 16000

Hence, X = 48000.

J, H, Q, S, X, L and I are sitting in a straight line facing south, but not necessarily in the same order.

1. X is sitting between J and S and is second to the right of H. 2. Q and H are at the extreme ends of the straight line.

 

2. L is sitting at the second place to the left of Q and to the immediate left of I.

There are two people between J and Q, so case 2 will be eliminated.

From Case I, H sits third to the left of J.

From the options, we can conclude that H sits third to the left of J.

Hence, 'H' is the correct answer.

Given sequence: H _ M T _ H O _ T C H O M _ C _ O _ T C

1. M C M T H C → H M M T C - H O M T C - H O M T C - H O C T C
2. O C T M C M → H O M T C - H O T T C - H O M M C - C O M T C
3. O C M T H M → H O M T C - H O M T C - H O M T C - H O M T C
4. H C M T O M → H H M T C - H O M T C - H O M T C  - O O M T C

• In option 3, HOMTC is repeated.

Hence, 'O C M T H M' is the correct answer.

The paper when unfolded will appear as shown below:

Hence, 'option 3' is the correct answer.

The least possible Venn diagram is:          

Conclusions:

I. Some lockers are doors. → Do not follow (As, there is no definite relation between lockers and doors. Hence, false)

II. All keys are doors. → Do not follow (As, there is no definite relation between keys and doors. Hence, false)

Hence, neither conclusion I nor II follows.

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

• The line PQ is the mirror.
• The given letters and numbers "CQ6RUL" has Q, 6, R and L, so the mirror image should be "

 

 

" and "

" ⇒ Option 1 is eliminated.

• The given numbers "CQ6RUL" has fourth letter R, so the mirror image should be "

" ⇒ Option 2 is eliminated.

• The given numbers "CQ6RUL" has third number "7" so the mirror image should be "

" ⇒ Option 4 is eliminated.

Hence, 'option 4' is the correct answer.

The logic followed here is:

Hence, '118' is the correct answer.

The number of triangles in the figure is shown below:

Hence, '14' is the correct answer.

The logic followed here is:

​

Similarly,

Hence, 'LLWCWR' is the correct answer.

The logic followed here is:

​

Similarly,

Hence, '181468' is the correct answer.

The correct answer is Audiovisual.

Key Points

• The World Day for Audiovisual Heritage was held on the 27th October 2020 with the theme, 'Your Window to the World'.
• It raises global awareness of issues on preserving audiovisual material, such as sound recordings and moving images.
• The theme for the year 2020 is Your Window To The World.
• The 33rd session of UNESCO’s General Conference adopted a resolution to proclaim 27 October as World Day for Audiovisual Heritage.

Additional Information

The correct answer is Bauxite.

Key Points

• Non-metallic mineral reserves consist of quarries of stone and clay and sand pits; mineral deposits with chemical and fertilizer; salt deposits; quartz deposits, gypsum, Lime stone, Mica, natural gemstones, asphalt and bitumen, peat, and other non-metallic minerals other than coal and oil
• Hence Bauxite does NOT fall in the category of non-metallic minerals.

Additional Information

• Metallic minerals, as the name suggets, are minerals containing one or more metals.
• These usually occur as mineral deposits and are great heat and electricity conductors, such as iron, copper, silver, bauxite, Lead, manganese, etc
• Lead is a chemical element with the symbol Pb.
• It is a heavy metal.

The correct answer is Chennai.

Key Points

• Chennai is the headquarters of Equitas Small Finance Bank.
• Equitas Small Finance Bank has been empanelled as the banking partner of the state government of Maharashtra with an aim to offer its services to employees of the State Government in December 2021.
• Equitas Small Finance Bank Ltd:
• Founded in: 2016.
• Headquarters: Chennai, Tamil Nadu.
• MD & CEO: Vasudevan Pathangi Narasimhan.
• Tagline: It's Fun Banking.
• In September 2021, Equitas Bank has appointed Rani Rampal & Smriti Mandhana as its brand ambassadors.
• Equitas Small Finance Bank and Equitas Holdings Ltd have been given RBI's no- objection to their proposal of amalgamation, subject to conditions.
• According to RBI conditions laid down for SFBS in June 2016.
• Equity shares of SFBS should be listed on recognised stock exchange(s) within three years from the date the net worth of SFB reaches Rs 500 crore.

The correct answer is 2 years.

Key Points

• As per the Motor Vehicles (Amendment) Act 2019, driving under the influence of alcohol is punishable with imprisonment up to 2 years and/or fine of ₹15,000 for second offence.
• The Motor Vehicles (Amendment) Act 2019 has increased the penalty for not wearing a seat belt in India.
• The new penalty is ₹1000 as against ₹100 before.
• The Motor Vehicles (Amendment) Bill, 2019 was introduced in Lok Sabha on July 15, 2019, by the Minister for Road Transport and Highways.
• The Act provides for the grant of licenses and permits related to motor vehicles, standards for motor vehicles, and penalties for violation of these provisions.

Additional Information

• The main subjects of the Motor Vehicles (Amendment) Bill, 2019 are:
• Compensation for road accident victims.
• Compulsory insurance cover all road users in India
• The Bill defines a good samaritan as a person who renders emergency medical or non-medical assistance to a victim during a road accident.
• National Transportation Policy for establishing a planning framework for road transport.
• Establishment of National Road Safety Board.
• The Bill increases penalties for several offences under the Act.
• The Bill defines aggregators as digital intermediaries or market places which can be used by passengers to connect with a driver for transportation purposes

The correct answer is Concave mirror.

Key Points

• Concave mirror is used as a reflector in search lights.
• Concave mirror: The mirrors curved inside on the reflecting side are called concave mirrors.
• These mirrors produce real as well as virtual images, inverted and erect, and magnified as well as the diminished image of the object.
• These are used in:
• reflecting telescope,
• shaving mirrors,
• ophthalmoscopes
• reflector for the headlight of a vehicle and
• searchlights.

Additional Information

• Convex mirror: It is an outward curved mirror that produces a diminished image.
• Convex mirrors either diverge a parallel beam of light into all directions or gather light from all directions and produce a parallel beam out of it.
• Convex mirrors are used as rear view mirrors in vehicles, sunglasses, magnifying glasses.
• Convex mirrors are those which have the  bulging side facing the light.
• Concave lenses are most commonly used to correct myopia which is also called near-sightedness.
• A plane mirror has several different uses and applications, including periscope and kaleidoscope, automobiles, shaving mirrors, dentists' mirror, torch lights, solar cookers, and security-related purposes.

The correct answer is Two-third.

Key Points

• As per the Economic Survey of India 2019-20, Two-third contribution of the service sector to the total FDI inflows into India.
• India has attracted the highest ever total FDI inflow of $81.72 billion during the financial year 2020-21 and it is 10\% higher as compared to the last financial year 2019-20 (US$ 74.39 billion).
• In terms of top investor countries, ‘Singapore’ is at the top with 29%, followed by the U.S.A (23%) and Mauritius (9%) for the F.Y. 2020-21.
• Foreign direct investments (FDI) into the country grew 19% to $59.64 billion during 2020-21 on account of measures taken by the government on the fronts of policy reforms, investment facilitation and ease of doing business.
• The computer software and hardware sector attracted the highest inflows with around 44% share of the total FDI equity inflows.

Additional Information

• The economic survey is an annual report card of the economy.
• It represents a day before the budget examines the performance of each and every sector and then suggests future moves.
• The economic survey was de-linked from the Budget in 1964.
• And unveiled in advance in order to provide a context of the latter.
• Last year the theme was Saving Lives and Livelihoods.
• The central theme of Economic Survey 2021-22 is the "Agile Approach".
• Another theme highlighted in this Economic Survey relates to the art and science of policy-making under conditions of extreme uncertainty.

The correct answer is Murshid Quli Khan.

Key Points

• Bengal gradually broke away from Mughal control under Murshid Quli Khan.
• Murshid Quli Khan declared himself the Nawab of Bengal.
• He shifted his capital from Dhaka to Murshidabad.
• Murshid Quli Khan, also known as Mohammad Hadi and born as Surya Narayan Mishra, was the first Nawab of Bengal, serving from 1717 to 1727.

Additional Information

• Mukarram Khān Chishtī was the Subahdar of Bengal during the reign of Mughal emperor Jahangir from 1626 to 1627.
• Alivardi Khan was the Nawab of Bengal from 1740 to 1756.
• He toppled the Nasiri dynasty of Nawabs and assumed power himself.
• He is also known for his victory during the Battle of Burdwan against the Maratha Empire during the Maratha invasions of Bengal.

The correct answer is Great Himalaya.

Key Points

• The northern most range of the Himalayan mountain is known as Great Himalaya.
• It is also called Himadri.
• Himadri is the backbone of the Himalaya.
• It is the most continuous range consisting of the loftiest peaks with an average height of 6,000 metres.
• It contains all the prominent Himalayan peaks like Mount Everest, Annapoorna, Nandadevi, etc.

Important Points

• Himalaya is the youngest fold mountain range in the world.
• The word Himalaya means "the abode of snow".
• The Himalaya is mostly formed of sedimentary rocks.
• The Himalayas consist of three main parallel ranges, namely:
• The greater Himalayas.
• The lesser Himalayas.
• The outer Himalayas.

Additional Information

• The Lesser Himalayas:
• It is the mountain range that lies between Himadri and Siwalik.
• It is also called Himachal.
• It is mainly composed of highly compressed and altered rocks.
• The altitude varies between 3,700 and 4,500 metres and the average width is 50 Km.
• Pir Panjal is the largest range in Himachal.
• This region is well known for its hill stations.
• The Shiwalik(Outer Himalayas):
• The outermost range of the Himalayas is called the Shiwalik(Outer Himalayas.)
• It extends over a width of 10-50 Km and has an altitude varying between 900 and 1100 metres.
• The word Shiwalik literally means "tresses of Shiva".
• Shiwalik is parallel to the Ganga plain.

The correct answer is G Sankara Kurup.

Key Points

• G. Sankara Kurup was the first Indian to get Jnanpith Award in 1965 for Malayalam Literature.
• Jnanpith Award was instituted in the year 1961.
• The Jnanpith ward is the highest literary honour.
• Malayali poet Akkitham has won the 2019 Jnanpith award.

Additional Information

• Jnanpith Award is the oldest and the highest Indian literary award presented annually by the Bharatiya Jnanpith organization.
• It was instituted in 1961 and is awarded to an author for his/her outstanding contribution to literature.
• The award is bestowed only on Indian writers writing in Indian languages included in the Eighth Schedule of the Constitution of India and English.
• The winner is given a cash prize of Rs.11 lakh and a bronze replica of Goddess Saraswati, the Hindu goddess of learning.

The correct answer is hydrogen.

Key Points

• Acidic and basic solutions in water conduct electricity because they produce hydrogen and hydroxide ion, respectively.
• Acids and Bases exhibit their conducting property only if they are in aqueous solution in which they could completely ionize in water.
• As per Arrhenius' concept, acids are those that produce the hydrogen ion (H+) when dissolved in water.
• Bases produce the hydroxide ion(OH-) when dissolved in water.
• These ions, when in water, act as charge carriers and can hence conduct electricity.
• The pH level is a measure of the number of Hydrogen ions in a solution.
• The lower the solution or compound on the pH scale, the higher will be the concentration of hydrogen ions.

The correct answer is Sabarmati.

Key Points

• Mahatma Gandhi started the Salt March on 12 March 1930 from Sabarmati.
• The Salt March, also known as Dandi March was an act of nonviolent civil disobedience led by Mahatma Gandhi against the salt tax by the British government in India.
• The march began on 12 March 1930 from Sabarmati Ashram and lasted on 6 April 1930 at Dandi.
• Dandi March or Salt Satyagraha was started by Mahatma Gandhi in Sabarmati launched on March 12, 1930, and it lasted till April 5, 1930, in Dandi (Navsari).
• It was a part of Non-violent Civil Disobedience.
• It was against the tax collected by the British Raj on salt and Gandhi opposed this by producing salt through evaporation.
• This significantly influenced American activist's Martin Luther King, James Bevel, and others.
• It is also known as the White Flowing River as all people took part in the march by wearing White Khadi.
• Gandhi called it "Poor Man's Struggle".
• Due to this, mass civil disobedience was observed and Indians boycotted British clothes and goods.
• International Walk for Justice and Freedom - Mahatma Gandhi Foundation re- framed and cast the Salt March in 2005 on the 75th anniversary of Dandi March.
• National Salt Satyagraha Memorial - Dandi (inaugurated Jan 30, 2019).

Additional Information

• The Champaran Satyagraha of 1917 was the first Satyagraha movement led by Gandhi in India.
• It was against the imposed indigo cultivation by the British power.
• Sevagram is located near Wardha in Maharashtra.
• Mahatma Gandhi established his ashram at Sevagram in 1936.
• The ashram employed some Harijans in the common kitchen to break the caste barrier.
• Santiniketan was originally an ashram built by Debendranath Tagore.
• Debendranath was the father of the Poet, Rabindranath and was also known as Maharshi.
• Santiniketan was expanded by Rabindranath Tagore and it became a university town after Visva Bharati was established.
• Rabindranath Tagore wrote many of his literary classics at Santiniketan.

The correct answer is Khushi Chindaliya.

Key Points

• Khushi Chindaliya has been appointed as Regional Ambassador for India by United Nations Environment Programme in September 2020.
• A 17-year-old girl from Surat has been appointed as Regional Ambassador for India by the United Nations Environment Programme - Tunza Eco-Generation.
• Khushi Chindaliya will spread awareness about the safeguard of environmental treasures and discuss India's contribution to environmental conservation.
• She will also discuss the subject with other ambassadors around the world.
• She intends to raise awareness about climate change, the necessity of environmental protection, and the need to protect natural resources.
• Until February 2021, she will collaborate with the United Nations Environment Programme (UNEP)- Tunza Eco-Generation on several environmental awareness programmes.
• Khushi is one of 100 young Indians whose articles were selected by UNESCO for publication in a book titled "Year 1 AC (After Coronavirus): Essays by 100 YoungnIndians."
• In 2019, she was inducted as a member and worldwide ambassador of the National Society of High School Scholars, an international organisation administered by Sir Alfred Nobel's descendants.

Important Points

• The United Nations Environment Programme (UNEP) is in charge of organising the UN system's response to environmental challenges.
• After the United Nations Conference on the Human Environment in Stockholm in June 1972, it was founded by Maurice Strong, its first director.
• The Headquarters of the United Nations Environment Programme is located in Nairobi, Kenya.

Additional Information

• Dia Mirza:
• She was appointed brand ambassador for the Wildlife Trust of India on World Environment Day 2017.
• Nethra Kumanan:
• She has become the first Indian woman sailor to qualify for the Olympics after she was assured of a top-place finish in the laser radial event of the Asian Qualifiers in Oman.
• She has a 21-point advantage over her nearest rival Ramya Saravanan – in the Laser Radial Class event.
• In sailing, the athlete who has the least points wins the competition.
• Smriti Mandhana:
• She won ICC's woman cricketer of the Year and women's ODI player of the Year in 2018.
• Mandhana, who scored four centuries in 51 one-day international matches.
• Mandhana scored 2025 ODI runs with an average of 43.1 and played 75 T20 internationals and 2 test matches since her debut in 2013.
• She received Arjuna Award in 2019. Smriti Mandhana becomes the brand ambassador of Equitas Small Finance Bank.

The correct answer is Vijender Singh.

Key Points

• Vijender Singh was the first Indian boxer to receive a medal at the Olympic games.
• Vijender Singh:
• He is associated with the sport of Boxing.
• Vijender Singh Beniwal, better known as Vijender Singh is an Indian professional boxer and the current WBO Asia Pacific Super Middleweight Champion and WBO Oriental Super Middleweight Champion from Kaluwas, Bhiwani district in Haryana.
• He is the first Indian boxer to have ever won a medal at the Olympics.
• He also medals in Commonwealth Games and Afro-Asian Games.
• He was born on 29 October 1985 in Jat family Kaluwas village in Bhiwani District in Haryana state. He won Bronze medals in the 2008 Beijing (China) Olympics.
• He trained National Level Boxer under Jagdish Singh at the Bhiwani Boxing Club.
• In January 2010, he conferred with Padma Shri.
• In 2009, he awarded India's Highest Sporting Honor Rajiv Khel Ratna with another Boxer Mary Kom and Sushil Kumar.
• Some of the achievements during his professional career are 2009 world championship Bronze medal, 2006 Commonwealth Silver medals, 2010 Asian Games Gold medals, etc.

Additional Information

• Laishram Sarita Devi:
• Laishram Sarita Devi of Manipur is among the six boxers from 5 continents who were elected as members of AIBA athlete Commission.
• She is DSP in Manipur Police.
• The election of the Athletes Commission members was organized during AIBA Men and Women World Boxing Championship 2019 in Russia.
• Akhil Kumar:
• He is an Indian boxer who has won several international and national boxing awards.
• He practices an "open guarded" boxing style.
• In 2005, the Indian government gave him the Arjuna Award for his achievements in international boxing.
• Mary Kom:
• She is an Indian boxer from the northeast state of Manipur.
• She is also known as MC Mary Kom or Magnificent Mary.
• Mary Kom is famed as a five-time World Boxing Champion and the only boxer to win a medal in every one of the six world championships.
• In the 2012 Olympics, she became the first Indian women boxer to qualify and win a bronze medal in the 51 kg flyweight category of Boxing.
• She is currently ranked as Number 4 in the Flyweight category of AIBA World Women's Ranking.

The correct answer is Hoshang Shah.

Key Points

• Hoshang Shah built Mandu as his capital.
• He was the first independent ruler of the Ghori Dynasty.
• He was the second sultan of Malwa, a dynasty that ruled Mandu between 1401 and 1531.
• He was also known as Alp Khan before he took the title of Hoshang Shah.
• He was the son of Dilawar Khan Ghori, who was a court member of Delhi Sultan Firoz Shah Tughlaq.
• They renamed the fort "Shadiabad" (city of joy) and built palaces, mosques, and tombs amid the gardens, lakes, and woodland within its walls.

Additional Information

• Dilawar Khan Ghori was governor of the Malwa province of central India and later Sultan of the Malwa Sultanate during the decline of the Delhi Sultanate.
• Mir Jafar was a successor of Siraj ud-Daulah to whom he served as a Commander and betrayed him in the Battle of Plassey.

The correct answer is first.

Key Points

• The Andhra State Act (1953) formed the first linguistic state of India.
• The Andhra State Act (1953) formed the first linguistic state of India, known as the state of Andhra, by taking out the Telugu-speaking areas from the State of Madras (now Tamil Nadu).
• The States Reorganisation Act (1956) merged the Telugu-speaking areas of Hyderabad state with the Andhra state to create the enlarged Andhra Pradesh state.
• The Andhra Pradesh Reorganisation Act (2014) bifurcated Andhra Pradesh into two separate states, namely, the Andhra Pradesh (residuary) and Telangana.

Additional Information

• Four icons of Telangana are:
• State Bird - Palapitta (Indian Roller or Blue Jay).
• State Animal - Jinka (Deer).
• State Tree - Jammi Chettu (Prosopis Cineraria).
• State Flower - Tangedu (Tanner's Cassia).

The correct answer is Rakhi Halder.

Key Points

• Rakhi Halder is related to weightlifting.
• She claimed gold in the 64 kg category of the 35th edition of the Senior Women's National Weightlifting Championships at Khudiram Anushilan Kendra in Kolkata.
• She created two new National records by clinching a Bronze medal in the women's 64kg category at the Qatar International Cup in Doha.
• The Commonwealth Championship gold medallist superseded the senior national record in both snatch and total lift with her personal best effort of .218kg, 95kg, in the snatch with 123kg in clean.

Additional Information

• K. Roshilata Devi of Manipur in action in the 64Kg U-21 Weightlifting event at Khelo India Youth Games 2019.
• Veerjeet Kaur, who originally hails from Rori village in Sirsa district in Haryana, becomes U-21 champion in the 49 Kg girls' at Khelo India Youth Games.
• Harjinder Kaur is an Indian weightlifter.
• She won the bronze medal at the 2022 Commonwealth Games.
• She also won the silver medal in 2021 Commonwealth Youth Games in 71 kg weight category.

The correct answer is Christian.

Key Points

• James Mill, in his book, 'The History of British India' had divided Indian History into three periods that do NOT include Christianity.
• James Mill was born in 1773.
• His greatest literary work was "The History of British India" and it was published in the year 1817.
• James Mill divided Indian history into three periods namely Hindu, Muslim and British history.
• He wrote in the book that there was religious intolerance, caste discrimination, and superstitious practices in Indian society.
• The book is based on the company (i.e. East India Company) rule in India.
• The history of British India in 3 volumes was written by James mill, who is a Scottish historian, economist, political theorist, and philosopher.

Additional Information

• Important Books:
• India’s Struggle for Independence
• Author: Bipan Chandra
• The book is a detailed overview of the Independence movement of India. The book covers the struggle from the first revolution for independence which began with Mangal Pandey to the non-cooperation movement by Mahatma Gandhi and the civil disobedience movements.
• India Wins Freedom
• Author: Abul Kalam Azad
• This book is an autobiographical account from one of the architects of modern India, Maulana Abul Kalam Azad. It depicts the views of Maulana Azad on the events that ultimately led to the partition of India.
• Without Fear
• Author: Kuldip Nayar
• The book takes a closer look to the freedom fighter Bhagat Singh. The book explores both his sides, as a passionate freedom fighter and as an intellectual inspired by the Karl Marx and Lenin’s writings.
• An Era of Darkness: The British Empire in India
• Author: Shashi Tharoor
• Author reveals how colonizers exploited India and how disastrous British Rule was for India, with impeccable research and acuity. He also demolishes the arguments of Western and Indian apologists for Empire on the benefits and British rule; including democracy and freedom.

      ० Subhash Chandra Bose

• Author: Hugh Toye
• Hugh Toye was a British Army intelligence officer and he worked in India and Burma during World War. The book details the personality of Subhash Chandra Bose and also offers important insights into Europe-Asia relations and nationalism.

The correct answer is Indus.

Key Points

• Indus river flows between the Zaskar (Zanskar) and Ladakh ranges.
• Indus river originates from the Kailash range.
• The Indus River originates near the Mansarovar Lake in the Tibetan plateau, on the northern slopes of the Kailash Mountain Range.
• Mt. Kailash is the tallest summit of the Kailash range.
• Mount Kailash located in the Himalayan range far west of Tibet.
• Major tributaries of the Indus river are Beas, Chenab, Jhelum, Ravi, Sutlej.
• All the above tributaries meet the Indus river in Pakistan at Maithankot and the meeting place is called Panchnad.
• The Indus River, along with the Chenab, Jhelum, Sutlej, Ravi, Beas, and two tributaries from Afghanistan and Khyber Pakhtunkhwa, forms Pakistan's Sapta Sindhu (Seven Rivers) delta.
• The Indus River is 3180 kilometers long.
• The Indus River empties into the Arabian Sea.

Additional Information

River Ganga:

• The River Ganga originates from the Gangotri glacier in Uttarakhand.
• Alaknanda River joins Bhagirathi at Devprayag and from there the river is called Ganga.
• Yamuna(Largest right bank tributary of Ganga), Damodar (Sorrow of Bengal), Ghagra, Gomti, Gandak, Ramganga, Kosi (Sorrow of Bihar), Son, Mahananda are major tributaries of River Ganga.
• It flows through the states of Uttarakhand, Uttar Pradesh, Bihar, Jharkhand, and West Bengal.
• It is a transboundary river, flows through India and Bangladesh.
• The total length of the river is 2600 km.

**Yamuna:**​

• The longest tributary of the Ganges and it joins the Ganges at Prayag (Allahabad).
• It originated from the Yamununotri glacier(Banderpunch range).

Brahmaputra:

• The Brahmputra river originates from the Mansarovar Lake Region near Mount Kailash and flows through China, India, and Bangladesh and drain in the Bay of Bengal in Bangladesh.
• The world's largest river island lies in the Brahmputra river named "Majuli" as recorded in the Guinness Book of World Records and it is the first river Island in India.

The correct answer is Mohammed Quli Qutub Shah.

Key Points

• The Charminar is located in Hyderabad, Telangana, India. 
• It was constructed in 1591 by Muhammad Quli Qutb Shah.
• It is a monument and mosque.  Muhammad Quli Qutb Shah built it in 1591 after shifting his capital from Golkonda to the city of Hyderabad.
• It has become a symbol of Hyderabad.
• It is listed as an archaeological and architectural treasure on the official "List of Monuments" prepared by the Archaeological Survey of India.
• It has been officially incorporated as the Emblem of Telangana for the state of Telangana.

Additional Information

• Hyderabad is the capital city of the Indian state of Telangana and the de jure capital of Andhra Pradesh.
• According to the 2011 Census of India, Hyderabad is the fourth-most populous city in India.
• Hyderabad was integrated into the Indian Union in 1948 and continued as the capital of Hyderabad State (1948–56).
• In 2014, Andhra Pradesh was bifurcated to form Telangana and Hyderabad became the joint capital of the two states with a transitional arrangement scheduled to end in 2024.

The correct answer is Australia and Japan.

Key Points

• Australia and Japan signed a landmark 'Reciprocal Access Agreement’ (‘RAA’) on 17 November 2020 in an attempt to counter China's growing influence in the South China and Indo Pacific region.​
• The defense agreement has taken six years of negotiations.
• This will bring the countries closer amidst militarization in the South China sea and a series of disputes over islands in the East China sea.
• This is the first agreement of Japan to allow foreign military presence in its sovereign territory since 1960.
• It signed the Status of Forces Agreement with the US in 1960 and with Djibouti in 2009.

Additional Information

• Reciprocal Access Agreement (RAA) comes week after foreign ministers of the Quad alliance, which includes the US and India, met in Tokyo.
• The pact allows Japanese and Australian troops to visit each other's countries and conduct training and joint operations.
• Australian Prime Minister said that the treaty will strengthen their security ties and facilitate cooperation between defence forces.
• The two sides also agreed on the need for a framework to allow the Japanese military to protect Australian forces if needed.
• Current prime minister of Australia is Anthony Albanese. (2022)

The correct answer is 1958.

Key Points

• In the year 1958 the Kandahar Edicts of Ashoka were discovered.
• Kandahar bilingual inscription:
• The Kandahar bilingual inscription is a famous bilingual inscription in Greek and Aramaic.
• Declared and carved around 260 BC by Ashoka, the ruler of the Indian Maurya Empire.
• This is the earliest known inscription of Ashoka, written in the 10th year of his reign.
• This first inscription was written exclusively in Classical Greek and Aramaic.
• It was discovered in 1958, during some excavation work under a 1-meter high layer of rubble, and is known as KAI 279.
• It is sometimes considered one of Ashoka's many "Minor Rock Edicts", in contrast to his "Major Rock Edicts", which consist of portions or totality of his Edicts from 1 to 14.
• Two inscriptions have been found in Afghanistan with Greek inscriptions, one of which is a bilingual inscription in Greek and Aramaic, the other being a Kandahar Greek inscription only in Greek.

The correct answer is Rs. 100 crore.

Key Points

• As per Budget 2020-2021 to ease the eligibility of non-banking finance companies (NBFCs) to recover loans from truant borrowers under the Sarfaesi Act 2002 has been reduced to an asset size of Rs.100 crore.
• SARFAESI Act, 2002 (The Securitisation and Reconstruction of Financial Assets and Enforcement of Security Interest Act) empowers financial institutions to take possession of collateralised assets, manage assets, sell, or lease a part, or all of the business of the borrower
• In short SARFAESI Act helps bank or financial institutions to recover bad loans (The loans which becomes non performing assets and cease to generate income for the bank).
• The Act is applicable to cases where security interest for securing repayment of any financial asset is more than Rs.1 lakh.

Additional Information

• SARFAESI Act, 2002 was passed in the parliament after the recommendations of the Narsimham Committee – I.
• Non Performing Assets is a credit facility (i.e. term loan, cash credit, and overdraft, bills purchased and discounted and other loans) where no payment is received even after 90 days, either towards principal or interest.

The correct answer is Ravi Kumar Dahiya.

Key Points

• Mirabai Chanu and Ravi Kumar Dahiya won silver medals at the (2020) Olympic Games held in Tokyo in 2021.

Tokyo Olympics 2021 India Medal List -

Additional Information

• Mirabai Chanu -
• Mirabai Chanu gave India a perfect start at the Tokyo Olympics by winning the country’s first weightlifting silver in the 49kg category.
• Mirabai Chanu created history for India on July 26th 2021 as she became the first weightlifter to win silver in the 49-kg weightlifting category at the Tokyo Olympics.
• Chanu lifted a total of 202kg (87kg+115kg) to better Karnam Malleswari’s bronze in the 2000 Sydney Olympics.
• Ravi Kumar Dahiya -
• Ravi Kumar became the second Indian wrestler to clinch an Olympic silver after losing his 57kg final to Russian two-time defending world champion Zavur Uguev.
• This is India's second silver and fifth medal overall at the Tokyo Olympics.
• Ravi is the fourth Indian male wrestler, and fifth overall, to win a medal at the Olympics.
• His medal also marks the fourth consecutive medal for India at the Olympics in wrestling.
• Ravi Kumar joined the legendary Sushil Kumar to become only the second Indian wrestler to win an Olympic silver.

The correct answer is Human immunodeficiency virus.

Key Points

• The full form of HIV is Human Immunodeficiency Virus.
• The human immunodeficiency viruses are two species of Lentivirus that infect humans.
• Over time, they cause acquired immunodeficiency syndrome, a condition in which progressive failure of the immune system allows life-threatening opportunistic infections and cancers to thrive.
• HIV (human immunodeficiency virus) is a virus that attacks the immune system, the body's natural defence system.
• Without a strong immune system, the body has trouble fighting off disease.
• Both the virus and the infection it causes are called HIV.
• White blood cells are an important part of the immune system.

Additional Information

• AIDS (acquired immunodeficiency syndrome)  is caused by the Human Immunodeficiency Virus (HIV).
• It is important to note that HIV/AIDS is not spread by mere touch or physical contact; it spreads only through body fluids. It is transmitted through - 
• ​Sexual contact with an infected person
• Transfusion of contaminated blood and blood product
• Sharing of infected needles
• Multiple sexual partners
• Infected mother to child

The correct answer is global stability, shared security, and innovative growth.

Key Points

• The theme of the 12th BRICS Summit hosted by Russia in 2020 was global stability, shared security, and innovative growth.
• The 12th BRICS Summit will be held on 17th November 2020 via video conference.
• The theme of the Meeting of the Leaders of BRICS countries which includes Brazil, Russia, India, China, and South Africa is "BRICS Partnership for Global Stability, Shared Security and Innovative Growth".
• The Summit this year is being held under the Chairmanship of Russia and aims at multifaceted cooperation between the member countries.

Additional Information

• India had outlined four priority areas for its Chairship.
• These are Reform of the Multilateral System, Counter Terrorism, Using Digital and Technological Tools for achieving SDGs, and Enhancing People to People exchanges.
• The Indian Chairship of BRICS in 2021 coincides with the fifteenth anniversary of BRICS.
• BRICS:
• BRICS is an acronym for the informal grouping of 5 emerging economies, Brazil, Russia, India, China, and South Africa.
• The grouping was formed in 2009, and since then BRICS nations have met annually at formal summits.
• South Africa was added to the group in 2010.
• The primary purpose is to enhance economic and political cooperation among BRICS nations.
• The 13th BRICS summit will be hosted by India in 2021.
• India hosted two summits 4th (2012) and 8th (2016).
• India will host the 13th BRICS Summit in 2021.

Calculation:

SP of the watch for Kavita = 0.88 × Rs 2500 = Rs 2200

SP for the fan for Kavita = 1.15 × Rs 2200 = Rs 2530

Profit = Rs 2530 - Rs 2500 = Rs 30

Profit % = $30\over2500$ × 100 = 1.2%

∴ The total gain percent is 1.2%.

Formula:

LCM × HCF = One number × Other number

(a + b)2 = a2 + b2 + 2ab

(a - b)2 = a2 + b2 - 2ab

Calculation:

LCM = 5 × 28 = 140

Let the numbers be "a" and "b"

⇒ 140 × 5 = a × b

⇒ ab = 700  (Equation 1)

According to the question-

⇒ a - b = 15  (Equation 2)

Squaring Equation 2, we get-

⇒ 15² = a2 + b2 - 2 × 700

⇒ a2 + b2 = 1625

Substituting the value in (a + b)2, we get-

⇒ (a + b)2 = 1625 + 2 × 700

⇒ (a + b)2 = 3025

⇒ (a + b) = 55

∴ The sum of the numbers is 55.

Concept:

Money compounds to equal values in an equal period of time at the same rate of interest.

Calculation:

According to the question, the amount becomes $3\over2$ times in 4 years.

Total time required = 4 + 4 = 8 years

∴ The total time required is 8 years.

Formula:

SI = PRT/100, where

SI = Simple Interest, P = Principal

R = Rate, T = Time

Calculation:

Let the sum invested at 10% be "a"

⇒ Sum invested at 8% = Rs 9600 - a

⇒ SI for "a" = $a \times 10 \times 4\over100$ = $2a \over5$

Similarly, SI for Rs (9600 - a) = $(9600-a) \times 8 \times 4\over100$

According to the question-

$(9600-a) \times 8 \times 4\over100$ + $2a \over5$ = Rs 3500

⇒ $307200 - 32a +40a\over100$ = Rs 3500

⇒ 307,200 + 8a = 350,000

⇒ 8a = 42,800

⇒ a = Rs 5350

∴ The amount invested at 10% is Rs 5350.

Formula:

D = S × T

Effective upstream speed = x – y, Where

x = Speed of swimmer, y = Speed of river

D = Distance in km, S = Speed in km/hr

T = Time in hours

Calculation:

Effective upstream speed = 12 - 2 = 10 km/hr

Time taken to swim 6 km upstream = 6/10 hour

Time taken in minutes = 6/10 × 60 = 36 minutes.

∴ The total time taken is 36 minutes.

Formula:

Sum = Average × Total Number

Calculation:

Sum of 3 numbers = 110 × 3 = 330

Let the first number be 6x

⇒ Second number = 2x

⇒ Third number = 3x According to the question-

⇒ 6x + 3x + 2x = 330

⇒ 11x = 330

⇒ x = 30

smallest number

= 2x = 2 × 30 = 60

∴ The smallest number is 60.

Shortcut Trick

Equate the parts: (1/2)A = (1/5)B = (3/8)C

Ratio A : B : C = 2 : 5 : 8/3 = 6 : 15 : 8

Total ratio units = 6 + 15 + 8 = 29 units

29 units = 5800 ⇒ 1 unit = 200

Third part (8 units) = 8 × 200 = 1600

∴ The correct answer is Rs. 1,600.

Alternate Method

Given:

Total amount = Rs. 5,800

Condition: (1/2) × First Part = (1/5) × Second Part = (3/8) × Third Part

Calculations:

Let the three parts be A, B, and C.

⇒ A/2 = B/5 = 3C/8 = k (say)

⇒ A = 2k, B = 5k, C = 8k/3

⇒ Sum: A + B + C = 5800

⇒ 2k + 5k + 8k/3 = 5800

⇒ 7k + 8k/3 = 5800

⇒ (21k + 8k) / 3 = 5800

⇒ 29k / 3 = 5800

⇒ 29k = 17400

⇒ k = 600

⇒ Third part (C) = 8 × 600 / 3 = 8 × 200 = 1600

Hence, the value of the third part is 1600. Therefore, the correct option is (4).

∴ The correct answer is Rs. 1,600.

Additional Information

Ratio Distribution

If a total amount T is divided in the ratio a : b : c, then the value of the third part is calculated as [c / (a + b + c)] × T.

Compound Ratio

The compound ratio of two ratios a : b and c : d is given by (a × c) : (b × d).

Equating Fractions

When fractions of parts are equal (e.g., A/x = B/y = C/z), the parts A, B, and C are directly proportional to the denominators x, y, and z.

Concept:

Calculation:

$\frac{{6\frac{1}{2} + 2\frac{5}{7} \times \frac{{14}}{{19}} - \frac{1}{2} \div 2\ of\frac{1}{4}}}{{11 \times 12 \div 12 + 12}}$

⇒ $\frac{{\frac{13}{2} + \frac{19}{7} \times \frac{{14}}{{19}} - \frac{1}{2} \div \frac{1}{2}}}{{11 \times 1 + 12}}$

⇒ $\frac{{\frac{13}{2} + \frac{19}{7} \times \frac{{14}}{{19}} - 1}}{{11 + 12}}$

⇒ $\frac{{\frac{13}{2} + 2 - 1}}{23}$

⇒ $\frac{{\frac{17}{2} - 1}}{23}$

⇒ $\frac{{\frac{17-2}{2} }}{23}$

⇒ $\frac{15}{2\times23}$

⇒ $\frac{{15}}{{46}}$

∴ The answer to the expression is $\frac{{15}}{{46}}$.

Calculation:

Part filled by Pipe A in 1 hour = $1\over10$

Part filled by Pipe B in 1 hour = $1\over{13{1\over3}}$ = $3\over40$ 

⇒ Total part filled by A and B working together in 1 hour = $1\over10$ + $3\over40$ = $7\over40$

Let the Pipe empty $1\over c$ part in 1 hour.

When all opened together-

⇒ $7\over40$ - $1\over c$ = $1\over 8$

⇒ $1\over c$ = $7\over40$ - $1\over 8$

⇒ $1\over c$ = $7-5\over40$

⇒ $1\over c$ = $2\over 40$

⇒ c = 20 hours

Time required by the Pipe C alone to empty 25% of the tank

⇒ 0.25 × 20 = 5 hours.

∴ Pipe C would require 5 hours to empty the tank alone.

Shortcut Trick

Price after first two discounts = 250 × 0.8 × 0.9 = 180.

Third discount amount = 180 − 164.70 = 15.30.

Discount percentage x = (15.30 ÷ 180) × 100 = 8.5%.

∴ The correct answer is 8.5.

Alternate Method

Given: Marked Price (MP) = ₹250, Final Selling Price (SP) = ₹164.70, Successive discounts = 20%, 10%, and x%.

Formula: Final SP = MP × (100 − d₁)/100 × (100 − d₂)/100 × (100 − x)/100

⇒ 164.70 = 250 × (80/100) × (90/100) × (100 − x)/100 ⇒ 164.70 = 250 × 0.8 × 0.9 × (100 − x)/100 ⇒ 164.70 = 180 × (100 − x)/100 ⇒ 164.70 / 180 = (100 − x) / 100 ⇒ 0.915 = (100 − x) / 100 ⇒ 91.5 = 100 − x ⇒ x = 100 − 91.5 ⇒ x = 8.5

∴ The correct answer is 8.5.

Additional Information

Successive Discount Equivalent

For two successive discounts a% and b%, the single equivalent discount is (a + b − ab/100)%.

Marked Price and Selling Price

Selling Price = Marked Price − Discount. Also, Discount % = (Discount ÷ Marked Price) × 100.

Successive Percentage Decrease

If a value decreases by x%, y%, and z% successively, the final value = Initial Value × (1 − x/100) × (1 − y/100) × (1 − z/100).

Formula:

CSA = πrl

l² = h² + r²

where "r", "h", and "l" are the radius, height, and slant height

CSA = Curved Surface Area

Calculation:

Substituting the values, we get-

⇒ 3185π = π × 35 × l

⇒ l = 91 cm

Substituting the value of r & I in l2 = h2 + r2,

⇒ 91² = h² + 35²

⇒ h² = 91² - 35²

⇒ h = 84 cm.

The height of the cone is 84 cm.

Formula:

SP - CP = P, where

SP = Selling Price

CP = Cost Price

P = Profit

Calculation:

Let the cost price be Rs a.

SP for 20% profit = 1.2 × a = 1.2a

New SP = 1.2a - 150

New CP = a - 150

Acccording to the question-

⇒ 1.2a - 150 - (a - 150) = 25/100 × (a - 150)

⇒ 1.2a - 150 - a + 150 = 0.25a - 37.5

⇒ 37.5 = 0.05a 

⇒ a = 750

∴ The cost of the fan is Rs 750.

Shortcut Trick

To find the value of x added to a, b, c, d to make them in proportion: x = |(bc − ad) / ((a + d) − (b + c))|.

Here a = 11, b = 18, c = 27, d = 42.

x = |(18 × 27 − 11 × 42) / ((11 + 42) − (18 + 27))| = |(486 − 462) / (53 − 45)| = 24 / 8 = 3.

Substitute x = 3 into the terms: (11 × 3 + 3) = 36 and (9 × 3 − 2) = 25.

Mean Proportional = √(36 × 25) = 6 × 5 = 30.

∴ The correct answer is 30.

Alternate Method

Given: Numbers 11, 18, 27, and 42. When x is added, they form a proportion.

Formula Used: If p, q, r, s are in proportion, then p/q = r/s. Mean proportional of a and b = √(a × b).

⇒ (11 + x) / (18 + x) = (27 + x) / (42 + x)

⇒ (11 + x)(42 + x) = (18 + x)(27 + x)

⇒ 462 + 11x + 42x + x² = 486 + 18x + 27x + x²

⇒ 462 + 53x = 486 + 45x

⇒ 53x − 45x = 486 − 462

⇒ 8x = 24

⇒ x = 3

Now, calculate the two terms for mean proportional:

⇒ First term = 11x + 3 = 11(3) + 3 = 36

⇒ Second term = 9x − 2 = 9(3) − 2 = 25

⇒ Mean Proportional = √(36 × 25) = √900 = 30

∴ The correct answer is 30.

Additional Information

Mean Proportional

The mean proportional between two numbers 'a' and 'b' is given by the square root of their product: √(a × b).

Third Proportional

The third proportional to two numbers 'a' and 'b' is a value 'c' such that a : b = b : c, which gives c = b² / a.

Fourth Proportional

The fourth proportional to three numbers a, b, and c is a value 'd' such that a : b = c : d, which gives d = (b × c) / a.

Property of Proportion

If four numbers are in proportion, the product of the extremes (first and last terms) is always equal to the product of the means (second and third terms).

Concept:

The cylinder is to be cast from the solid cube. Hence, the volume of the cube would be equal to the volume of the re-cast cylinder.

Formula:

Volume of cylinder = π × r2 × h

TSA of cube = 6a2

Volume of cube = a3 

where-

r = radius of cylinder

h = height of cylinder

a = side of the cube

Calculation:

According to the question-

⇒ 6a2 = 294

⇒ a2 = 49 or a = 7 cm

Volume of solid cube = 7 × 7 × 7 = 343 cm3

Since Volume of solid cube = Volume of cylinder

⇒ 343 = $22\over7$ × 7 × 7 × h

⇒ h = $49\over22$ cm or 2.22 cm

∴ The height of the cylinder is 2.2 cm.

Shortcut Trick

Cost Price of 1 pencil = 1500 ÷ (35 × 12) = 1500 ÷ 420 = ₹25/7

Selling Price for 40% gain = (25/7) × 1.4 = ₹5 per pencil

Number of pencils for ₹125 = 125 ÷ 5 = 25 pencils

∴ The correct answer is 25 pencils.

Alternate Method

Given: Total CP = ₹1,500, Total Quantity = 35 dozen = 420 pencils.

Formula Used: Selling Price = CP × (100 + Gain%) ÷ 100

⇒ Cost Price (CP) of 420 pencils = ₹1,500

⇒ Selling Price (SP) of 420 pencils = 1500 × (140/100) = ₹2,100

⇒ Since ₹2,100 is the SP for 420 pencils

⇒ Number of pencils for ₹1 = 420 ÷ 2100

⇒ Number of pencils for ₹125 = (420 ÷ 2100) × 125

⇒ 125 ÷ 5 = 25 pencils

∴ The correct answer is 25 pencils.

Additional Information

Unitary Method in Profit & Loss

To find quantity for a specific SP: (Total Quantity ÷ Total SP) × Required Amount.

Successive Percentage Shortcut

If there is a profit of x% and then a loss of y%, effective change = x − y − (xy/100).

Quantity-Price Relation

If the total expenditure is constant, quantity is inversely proportional to the price.

Formula:

P = $SI×100\over R× T$

A = P × (1 + $R\over 100$)T

CI = A - P

where-

P = Principal, SI = Simple Interest

R = Rate, T = Time

CI = Compound Interest, A = Amount

Calculation:

Using the SI formula, we get-

10,692 = $29700×R\times 3\over100$ 

⇒ R = $10,692 \times 100\over29700 \times 3$ = 12%

Amount accrued to Anil, when invested at compound Interest,

⇒ 12,500 × (1 + $12\over 100$)2

Total amount = Rs 15,680

CI = Rs 15,680 - Rs 12,500 = Rs 3,180

∴ The compound interest on the sum is Rs 3,180.

Concept:

Calculation:

$\left( {\frac{7}{5} \div \frac{7}{{10}}of\frac{3}{4}} \right) \div \frac{4}{9} + \left( {\frac{7}{{16}} \div 10\frac{1}{2} \times 7\frac{1}{5}} \right) \times \frac{5}{{12}}$

⇒ $\left( {\frac{7}{5} \div \frac{21}{{40}}} \right) \div \frac{4}{9} + \left( {\frac{7}{{16}} \div \frac{21}{2} \times \frac{36}{5}} \right) \times \frac{5}{{12}}$

⇒ $\left( {\frac{7}{5} \times \frac{40}{{21}}} \right) \div \frac{4}{9} + \left( {\frac{7}{{16}} \times \frac{2}{21} \times \frac{36}{5}} \right) \times \frac{5}{{12}}$

⇒ $\left( {\frac{8}{3} } \right) \div \frac{4}{9} + \left( {\frac{9}{30}} \right) \times \frac{5}{{12}}$

⇒ $\left( {\frac{8}{3} } \right) \times \frac{9}{4} + \left( {\frac{1}{8}} \right )$

⇒ 6 + $1\over8$ = $\frac{{49}}{8}$

The answer is $\frac{{49}}{8}$.

Calculation:

Let the number B be 100.

⇒ A = 1.2 × 100 = 120

⇒ C = 0.8 × (100 + 120) = 0.8 × 220 = 176

Difference between B and C = 176 - 100 = 76

Difference of C and B less than A = 120 - 76 = 44

Difference percentage = $44\over120$ × 100 = 36.7%

∴ The answer is 36.7%.

Concept:

The greatest number that would exactly divide the given numbers would be the HCF.

Calculation:

Using the factorial method, we find the factor of-

⇒ 2880 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 

⇒ 6525 = 3 × 3 × 5 × 5 × 29 

⇒ 8307 = 3 × 3 × 13 × 71

We find that the HCF of the numbers is 3 × 3 i.e., 9.

∴ The greatest number that divides 2880, 6525, 8307 exactly is 9.

Alternate Method 

 Let's check the numbers are divisible by using divisibility rules of 7, 11, 3 & 9.

We need to find the greatest number. Therefore,

11 = If the difference between the sums of the alternate digits is either 0 or divisible by 11.

⇒ 2880. Here, 2 + 8 = 10 & 8 + 0 = 8 

Difference between 10 - 8 = 2 which is not equal to 0 or multiple of 11.

9 = a number is divisible by 9 if the sum of its digits is divisible by 9.

⇒ 2880 = 2 + 8 + 8 + 0 = 18 

⇒ 6525 = 6 + 5 + 2 + 5 = 18

⇒ 8307 = 8 + 3 + 0 + 7 = 18 

18 is divisible by 9. Therefore, 9 satisfies the condition.

∴ The greatest number that divides 2880, 6525, 8307 exactly is 9.

Calculation:

Let the first part be "a"

Second part = 564 - a

According to the question-

${1\over8} × a\over {{1\over5}×(564-a)}$ = $5\over4$

⇒ $5 × a\over {8×(564-a)}$ = $5\over4$

⇒ $a\over {2×(564-a)}$= 1

⇒ a = 2 × (564 - a)

⇒ a = 1128 - 2a

⇒ 3a = 1128 or a = 376

Second part = 564 - 376 = 188

∴ The first part is 376 and the second part is 188.

Formula:

D = S × T, where

D = Distance

S = Speed

T = Time

Calculation:

Let the S₁ and S₂ be the speed of A and B respectively and T₁ and T₂ be the time taken to complete the distance after the meeting point.

⇒ $S_1\over S_2$ = $\sqrt {T_2\over T_1}$

Substituting the values respectively-

⇒ $S_1\over 12$ = $\sqrt {1.8\over 3.2}$

⇒ S₁ = 12 × $3\over4$ = 9 km/hr

The speed of A is 9 km/hr.

Shortcut Trick

Net increase in total weight = Total persons × Increase in average = 17 × 0.5 = 8.5 kg

Sum of weights of 3 new persons = (3 × 76.5) + 8.5 = 229.5 + 8.5 = 238 kg

Given weights are 82 kg, 75 kg, and x kg ⇒ 82 + 75 + x = 238

⇒ 157 + x = 238 ⇒ x = 81

∴ The correct answer is 81 kg.

Alternate Method

Given:

Average weight of 14 persons = 76.5 kg

Number of new persons = 3

Increase in average weight = 0.5 kg

Formula Used:

Sum of observations = Average × Number of observations

14 persons (Avg: 76.5 kg)3 join17 persons (New Avg: 77.0 kg)

Calculations:

⇒ Total weight of 14 persons = 14 × 76.5 = 1071 kg

⇒ Total number of persons after 3 join = 14 + 3 = 17 persons

⇒ New average weight = 76.5 + 0.5 = 77 kg

⇒ Total weight of 17 persons = 17 × 77 = 1309 kg

⇒ Sum of weights of the 3 new persons = 1309 − 1071 = 238 kg

⇒ 82 + 75 + x = 238

⇒ 157 + x = 238

⇒ x = 238 − 157 = 81

∴ The correct answer is 81 kg.

Additional Information

Weighted Average

When two groups with averages A₁ and A₂ and sizes n₁ and n₂ are combined, the combined average is (n₁ × A₁ + n₂ × A₂) ÷ (n₁ + n₂).

Net Deviation Method

The sum of deviations of all individual values from their average is always zero. Adding new items increases the overall average only if their combined value exceeds the original average.

Average of a Group

Average = Sum of all observations ÷ Total number of observations.

Formula:

MP × (1 - $D\%\over100$) = CP × (1 + $G\%\over100$), where

D% and G% are Discount and Gain percentages respectively.

Calculation:

Substituting the values, we get-

⇒ MP × (1 - $15\over100$) = Rs 340 × (1 + $5\over100$)

⇒ MP = $340 \times 105\over85$ = Rs 420

∴ The marked price is Rs 420.

Shortcut Trick

Let efficiency of C = 4 units/day ⇒ B = 6 units/day (50% more) ⇒ A = 3 units/day (50% less).

Combined efficiency of A, B and C = 3 + 6 + 4 = 13 units/day.

Total work = Combined efficiency × Total days = 13 × 48 = 624 units.

Time taken by A alone = Total work ÷ A's efficiency = 624 ÷ 3 = 208 days.

∴ The correct answer is 208 days.

Alternate Method

Given:

A is 50% less efficient than B.

B is 50% more efficient than C.

Time taken by A, B and C working together = 48 days.

Formula Used:

Total Work = Total Efficiency × Time Taken

Time Taken = Total Work ÷ Individual Efficiency

Calculations:

⇒ Let the efficiency of C be 100x units/day.

⇒ Efficiency of B = 100x + (50% of 100x) = 150x units/day

⇒ Efficiency of A = 150x − (50% of 150x) = 75x units/day

⇒ Efficiency Ratio of A : B : C = 75x : 150x : 100x = 3 : 6 : 4

⇒ Total combined efficiency of A, B and C = 3 + 6 + 4 = 13 units/day

⇒ Total work = Combined efficiency × Total days = 13 × 48 = 624 units

⇒ Time taken by A alone = Total Work ÷ Efficiency of A = 624 ÷ 3 = 208 days.

∴ The correct answer is 208 days.

Additional Information

Time and Efficiency Relationship

Efficiency is inversely proportional to time. If person A is twice as efficient as person B, A will take half the time B takes to complete the same work.

Pipes & Cisterns

The concept of time and work applies similarly to pipes and cisterns. Inlet pipes have positive efficiency while outlet pipes have negative efficiency.

Work & Wages

Wages are always distributed in the ratio of the total work done by the individuals. If they work for the same number of days, wages are distributed exactly in the ratio of their efficiencies.

Alternate Day Work

When individuals work on alternate days, calculate the work completed in one full cycle (e.g., 2 days for 2 people) first to find out the required total cycles.

Calculation:

Let  $15\over100$ × A = $\frac{45}{100}$  × B = k

∴ A = $100k\over15$ and B = $100k\over45$

According to the question-

⇒ A - B = $100k\over15$ - $100k\over45$ = $300k -100k\over45$ = $200k\over45$

A% = ${100k\over15}\over{200k\over45}$ × 100 = $100k\over15$ × $45\over200k$ × 100 = 150%

∴ The answer is 150%.

Shortcut Trick 

15% of A = 45% of B

Here, 15% = 3/20 & 45% = 9/20

⇒ 3A/20 = 9B/20

⇒ A/B = 9/3 = 3/1

⇒ A - B = 3 - 1 = 2

Percentage of A - B is A,

⇒ A/(A - B) = 3/2 = 150%

∴ The answer is 150%.

The correct answer is option 3), i.e., 'Illustration.'

Key Points  

  

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

• Example:
• The publisher selected paintings to use for the illustration of the book.
• ​Let's look at the meanings of the other given options:

• Hence, from the given meanings, we find that 'Illustration' is the correct one-word substitute.
• So, the correct answer is option 3.

 

Correct one-word substitute: Illustration.

The correct answer is option 1), i.e., "Anger or fuss about something trivial."

Key Points   

• Let’s look at the meaning of the given idiom/ phrase:
• The phrase 'Storm in a teacup' means 'great outrage or excitement about a trivial matter.' (किसी तुच्छ बात को लेकर बड़ा आक्रोश या उत्तेजना)
• Example:
• ​The speaker of the parliament finds the whole issue about the reservation of the economically weaker sections is a storm in a teacup.
• Hence, the only possible answer is option 1 'Anger or fuss about something trivial,' which exactly resembles the meaning of the given idiom/ phrase.

 

Correct meaning: Anger or fuss about something trivial.

The correct answer is option 3), i.e., 'Uneven.'

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:

• | Word | Meaning | | --- | --- | | Usual | happening or done most of the time; ordinary. (अधिकांश समय हो रहा है या किया गया है; साधारण) | | Common | something that is  same in a lot of places or for a lot of people. (कुछ ऐसा जो बहुत सी जगहों पर या बहुत से लोगों के लिए समान हो) | | Uneven | varying in quality, size or shape; not always good. (गुणवत्ता, आकार या आकार में भिन्नता; हमेशा अच्छा नहीं) | | Smooth | having a surface or consisting of a substance that is perfectly regular and has no holes, lumps, or areas that rise or fall suddenly. (एक सतह या एक पदार्थ से मिलकर जो पूरी तरह से नियमित है और इसमें कोई छेद, गांठ या ऐसे क्षेत्र नहीं हैं जो अचानक उठते या गिरते हों) |

 

• Clearly, the word 'Uneven' is closest in meaning to the given word 'Irregular.'
• 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 'Irregular':
• Synonyms: capricious, erratic, intermittent, jerky, sporadic, uneven.
• Antonyms: constant, continuous, dependable, regular, reliable, smooth.