SSC GD Constable Previous Year Paper (Held on: 30th November 2021 Shift 2)

The logic followed here is :-

1) HAA → There are 2 vowels in given word.

2) UHH → There is 1 vowel in given word.

3) OFF → There is 1 vowel in given word.

4) IXX → There is 1 vowel in given word.

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

Hence, the correct answer is "HAA".

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

∴ Here, the number of teachers who are NEITHER rural NOR postgraduates is '85'.

Hence, the correct answer is "85".

The logic followed here is :-

By using BODMAS RULE.

Given expression : 106 R 115 Q 23 S 7 P 19

After replacing the symbols in place alphabet in given expression the expression is as follows : 106 + 115 ÷ 23 × 7 - 19

= 106 + 115 ÷ 23 × 7 - 19

= 106 + 5 × 7 - 19

= 106 + 35 - 19

= 141 - 19

= 122

Hence, the correct answer is "122".

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

Hence, the correct answer is "Option 1".

In first and second dice P and Q are common in both dice.

Second dice is rotated 90⁰ anti-clockwise in vertically on the other adjacent side of P, Q is 'F'.

∴ Here, the opposite side of 'G' is 'F'.

Hence, the correct answer is "F".

The logic followed here is :-

Hence, the correct answer is "PKU".

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

iii. Decisive

i. Declaim

iv. Declare

ii. Decline

v. Decode

Hence, the correct answer is "iii, i, iv, ii, v".

Preparing the family tree using the following symbols:

According to the given information,

1) M × R ÷ Q → M is brother of R, R is father of Q.

Here, M is father of Q.

2) Q ÷ M × R → Q is father of M, M is brother of R.

Here, M is son of Q.

3) M ÷ R × Q → M is father of R, R is brother of Q.

Here, M is father of Q.

4) M − R ÷ T → M is mother of R, R is father of T.

Here, No Q given.

Hence, the correct answer is "Q ÷ M × R ".

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

• The arrow moves one step in clockwise from figure to figure.
• The circle is rotated 90⁰ and moves anti-clockwise from figure to figure.

Hence, the correct answer is "Option 4".

The logic followed here is :-

PRINT : RNTPI

Similarly,

LEMON : ?

Hence, the correct answer is "EONLM".

Given :- _ b _ p p p _ q p _ p b _ p _

By checking options and substituting accordingly.

1)  b q b p b p → b b q p p - p b q p p - p b b p p

2) p b q p b q → p b b p p - p q q p p - p b b p q

3) p q b p q p → p b q p p - p b q p p - p b q p p

• Here "pbqpp" is repeated.

4) p q p p q b → p b q p p - p p q p p - p b q p b

• Option (3) gives the pattern of :- p b q p p - p b q p p - p b q p p

Hence, the correct answer is "p q b p q p".

The logic followed here is :-

'REACH' is coded as 85139.

And

'SUN' is coded as 264.

Similarly,

'SEARCH' will be coded as :

Hence, the correct answer is "251839".

Seven friends, L, M, N, O, P, Q and R, are sitting around a circular table, with their backs towards the centre.

1) L is sitting to the immediate right of P and O is sitting third to the left of L.

2) Q is sitting between R and O and M is not the neighbour of P.

∴ Here, 'M' is sitting to immediate right of 'L'.

Hence, the correct answer is "M".

The logic followed here is :-

Hence, the correct answer is "729".

The logic followed here is:

Column wise:

First number × 3 + Second number = Third number

1st Column: 

 

Third number  = 5 × 3 + 11 = 15 + 11 = 26.

2nd Column:

 

Third number  = 12 × 3 + 19 = 36 + 19 = 55

Similarly,

3^rd Column:

 

79 = ? × 3 + 25

⇒ ? × 3 = 54

⇒ ?  = 18

Hence, the correct answer is "18".

Given,

When 12 is added to a number, it is equal to 2 times the sum of 4 and the number.

Let us consider the number = X

⇒ X + 12 = 2(X + 4)

⇒ X + 12 = 2X + 8

⇒ 2X - X = 12 - 8

∴ X = 4

So, the number X = 4

Hence, the correct answer is "4".

The logic followed here is :

First letter is added with +4.

Second letter is opposite of that letter and it is repeated.

‘SPIRIT’ is written as ‘WKMIMG’.

Similarly,

‘GLOBAL’ will be written as :

Hence, the correct answer is "KOSYEO".

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

Detailed Explanation:

• The line PQ is the mirror.
• The word "TRIANGLE" ends with last letter 'E'. So, the mirror image will starts with " 

" ⇒ Option 1 and Option 2 are eliminated.

• The word "TRIANGLE" has last fifth letter 'A'. So, the mirror image should be "A" ⇒ Option 3 is eliminated.

Hence, the correct answer is "Option 4".

The figure embedded in the given options is as shown below :

Hence, the correct answer is "Option 3".

The logic followed here is :-

Patna is capital of Bihar state.

Similarly,

Dispur is capital of Assam state.

Additional Information

Hence, the correct answer is "Assam".

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

Conclusions:

1. All monitors are laptops → False (As All laptops are monitors so, All monitors are laptops is false)
2. Some TVs are monitors → True (As All monitors are TVs so, Some TVs are monitors is true)
3. No monitor is a laptop → False (As All laptops are monitors so, No monitor is a laptop is false)

∴ Here, Only conclusion 2 is true.

Hence, the correct answer is "Only conclusion 2 follows".

The logic followed here is :-

∴ Here, 'had' is written as 'dol'.

Hence, the correct answer is "dol".

The logic followed here is :-

Hence, the correct answer is "323".

The logic followed here is :-

Second number × 6 = First number.

54 : 9 → 9 × 6 = 54

Similarly,

? : 7 → 7 × 6 = 42

Hence, the correct answer is "42".

Seven friends, M, N, O, P, Q, R and S, are sitting in a straight line, all facing towards the north.

1) N is sitting at the middle position and Q is sitting to the immediate left of N.

2) M is sitting between Q and P.

 

3) S is sitting to the immediate left of O and M and O are not sitting at any of the ends.

∴ Here, 'R' is sitting in right end of line.

Hence, the correct answer is "R".

The correct answer is Suparno Satpathy.

Important Points

• Fit India was founded in 1993 by Shri Suparno Satpathy and incorporated as a company in 2000.
• The 'Fit India Movement' was launched in August, 2019.
• Fit India Movement is a nationwide movement in India that encourages people to remain healthy and fit by including physical and sports activities in their daily lives.
• It was unveiled by Indian Prime Minister Narendra Modi at Indira Gandhi Stadium in New Delhi on 29 August 2019 (National Sports Day).
• On 6 September 2019, the 17th and incumbent Speaker of Lok Sabha, Shree Omprakash Krishna Birla, conducted a session of Fit India in the Parliament Complex and invited all Members of Parliament to take part in the campaign.

The correct answer is David Warner.

Key Points

• The Allan Border Medal recognises the most outstanding male Australian cricketer.
• First awarded in 2000, the medal is named after former Australian men's captain Allan Border.
• David Warner won Allan Border Medal for the year of 2016, 2017, 2020.

Additional Information

• Former Australian captain Steve Smith won the third Allan Border Medal of his career at the Australian Cricket Awards for the period 2020-21.
• Before 2021 Steve Smith also won this award in 2018 and 2015.
• Apart from this, Beth Mooney bagged Belinda Clarke Award, the top honour for a female player at the Australian Cricket Awards.

The correct answer is Pressure.

Key Points 

• Pressure is equal to thrust divided by area.
• Thrust is a kind of pull force, which is applied by the medium on the object.
• Pressure (P) = Thrust force (FT)/ Area (A).
• The force per unit area is called pressure.
• The SI unit of pressure is Pascal (Pa).
• Pressure (P) = Force (F)/ Area (A)

Additional Information

• Thrust: The force acting perpendicular to the surface of the object is called thrust.
• When any object is put into the water then the object will replace the water the same as it’s volume and the cause of which there is a force acting upwards, to balance this weight is called the thrust force.
• The effect of thrust is more on the smaller surface area than the thrust acting on a larger surface area.

Thrust Force (FT) = Pressure (P) × Area (A)

The correct answer is bull taming festival.

Key Points

• Jallikattu is a game to control the bull.
• It is bull taming festival.
• It has been played during the Pongal festival in Tamil Nadu.
• In Jallikattu, the bull is controlled.
• The person controlling it has to remain on his back till a certain distance or three times the bull is jumped.

Additional Information

• The International Kite Festival (Uttarayan) is one of the biggest festivals celebrated.
• It is celebrated in Gujarat.
• The festival is observed by lighting the candles of a candelabrum with nine branches, commonly called a menorah or hanukkiah.
• It is celebrated in  Israel.
• Buffalo fighting is a unique and traditional festival of people in Do Son District, Haiphong City, Vietnam.
• This festival is not only associated with Water Goddess worshiping and sacrificing custom but also expressed bravery, chivalry, and risk-taking spirit of people in the coastal city of Haiphong.

The correct answer is maize.

Key Points

• Maize is a crop that is used both as food and fodder.
• It is a Kharif crop that requires a temperature between 21°C to 27°C.
• It grows well in old alluvial soil.
• In some states like Bihar maize is grown in the Rabi season also.
• The use of modern inputs such as HYV seeds, fertilisers and irrigation have contributed to the increasing production of maize.
• Major maize-producing states are Karnataka, Uttar Pradesh, Bihar, Andhra Pradesh, Telangana and Madhya Pradesh.

Additional Information

• Kharif crops are grown with the onset of monsoon in different parts of the country and these are harvested in September-October.
• Important crops grown during this season are paddy, maize, jawar, bajra, tur (arhar), moong, urad, cotton, jute, groundnut, and soyabean.
• Rabi crops are sown in winter from October to December and harvested in summer from April to June.
• Some of the important rabi crops are wheat, barley, peas, gram, and mustard.

The correct answer is Pagal Panthi Revolt - Tirot Sing.

Key Points

• Paika's rebellion took place in Odisha.
• Jagabandhu Bidyadhara Mohapatra Bhramarbara Raya popularly known as Buxi Jagabandhu or Paika Khandayat Buxi was the commander of the forces of the king of Khurda.
• The English Company’s conquest of Odisha in 1803 and dethronement of the Raja of Kundra had greatly reduced the power and prestige of the Paikas.
• The Paika rebellion succeeded in getting large remissions.
• Hence it is correctly matched.
• Pagal Panthi Revolt - East Bengal
• The revolt originated in the Bengal region in the late 18th century.
• Karam Shah was the founder of this religious sect.
• His son Tipu took the cause of tenants against Zamindars.
• The area remained disturbed in the 1830s and 1840s.
• Hence it is incorrectly matched.
• Ahom Revolt - Assam
• ​Ahom Revolt took place in 1828 in Assam.
• British did not fulfill their promise to withdraw after the first Burma war.
• Gomdhar Konwar was the leader of the revolt.
• Hence it is correctly matched.
• Kol Uprising - Chota Nagpur
• Kol Uprising took place in 1831 at Chota Nagpur.
• Large scale transfer of land to outsiders from Kol headmen.
• Buddhu Bhagat led this revolt.
• Hence it is correctly matched.

The correct answer is Lord Lytton.

Key Points

• On January 1, 1877, at Coronation Park in Delhi, British monarch Queen Victoria (1837–1901) assumed a new title: Kaiser-e Hind, Empress of India.
• Kaiser-I-Hind means Empress of India was the Title given to Queen Victoria in the year 1877 in Delhi Durbar by Viceroy Lord Lytton (1876-1880).
• This was made possible by passing the Royal Titles Act in 1876 In British Parliament.

Additional Information 

• Lord Lytton was an experienced diplomat and a man of striking ability and brilliance.
• The British Prime Minister, Disraeli appointed him as the Viceroy of India.
• He acted as viceroy of India from 1876 to 1880.
• Events under Lord Robert Lytton's rule:
• The prevailing famine and the political disturbances in the northwest Frontier caused great worry to the British at that time. The first Famine Commission (1878-80) under Sir Richard Strachey was appointed and it made many commendable recommendations.
• In 1878, the Vernacular Press Act was passed.
• Lord Lytton introduced a uniform salt tax throughout British India. He also abolished many import duties and supported the Free Trade Policy
• Second Afghan War (1878-80): Soon after the outbreak of the war in 1878, the British troops captured the territory between Kabul and Kandahar. The ruler of Afghanistan, Sher Ali fled from his country and died in 1879. His son Yakub Khan became the ruler and the British concluded the Treaty of Gandamak with him.

The correct answer is table tennis player.

Key Points

• Manika Batra: She is a top-ranked Indian table tennis player and ranked 63rd in the world.
• She specializes in playing long pimples on her backhand.
• She was born on June 15, 1995, at New Delhi.
• She was two times Gold medal winner in the commonwealth games 2018.
• She has represented India in the South Asian games 2016 and won 3 Gold medals.

Additional Information

• Rajiv Gandhi Khel Ratna Award: It is the highest sporting award of the Republic of India.
• It was named after former prime minister Rajiv Gandhi.
• It was given by the Ministry of Youth Affairs and Sports for the spectacular and most outstanding performance in the field of sports by a sportsperson over a period of four years.
• The award comprises of Medallion and a Cash prize of 25 lakh rupees.
• Award was instituted in 1991-92.
• First awardee: Viswanath Anand.

Important Points

• The Rajiv Gandhi Khel Ratna Award was renamed as the Major Dhyan Chand Khel Ratna Award in August 2021:
• The Major Dhyan Chand Khel Ratna Award is India's highest sporting honor and is awarded annually by the Ministry of Youth Affairs and Sports. The award is named after the legendary Indian field hockey player Major Dhyan Chand (1905–79).

The correct answer is jute.

Key Points

• India and Bangladesh are the leading producers of jute.
• West Bengal, Bihar, Assam, Odisha and Meghalaya are the major jute-producing states.
• The leading world's jute-producing countries are India, Bangladesh, China and Thailand.

Additional Information

• Jute is known as the golden fibre.
• Jute grows well on well-drained fertile soils in the flood plains where soils are renewed every year.
• A high temperature is required during the time of growth.
• It is used in making gunny bags, mats, ropes, yarn, carpets and other artefacts.
• Due to its high cost, it is losing the market to synthetic fibres and packing materials, particularly nylon.

The correct answer is Shekhar Kapur.

Key Points

• Shekhar Kapur has been named as the President of the Film and Television Institute of India.
• Shekhar Kapur replaces B. P. Singh as the President of the Film and Television Institute of India.

Additional Information

• The Film and Television Institute of India (FTII) is an autonomous institute.
• It comes under the Ministry of Information and Broadcasting of the Government of India.
• The Film and Television Institute of India (FTII) was established in 1960.
• The Film and Television Institute of India (FTII) is situated in Pune.

The correct answer is NaCl.

Key Points

• Ionic Bond: These bonds are also called Electrovalent bond.
• This type of linkage formed from the electrostatic attraction between oppositely charged ions in a chemical compound.
• The atom that loses the electrons becomes a positively charged ion (cation), while the one that gains them becomes a negatively charged ion (anion).
• The formation of ionic compounds (like the addition of sodium metal and chlorine gas to form NaCl) are usually extremely exothermic.
• The loss of an electron from an element.
• Always endothermic (takes energy to strip the electron from the atom)
• The gain of an electron by a non-metal:
• Generally exothermic (energy released)
• Ionic bond can be both Endothermic and exothermic.
• Examples - KCl, AlCl3, NaCl

Additional Information

Covalent Bond:

• A covalent connection is created when the electrons from each participating atom are shared equally.
• Shared pair or bonding pair refers to the pair of electrons involved in this sort of bonding.
• Molecular bonds are another name for covalent bonding.
• The atoms will gain stability in their outer shell through the sharing of bonding pairs, analogous to noble gas atoms.
• Examples - CH4, H2O, NH3

The correct answer is Ramesh Pokhriyal ‘Nishank’.

Key Points

• Union Minister of Education Shri Ramesh Pokhriyal 'Nishank' presented the AICTE Lilavati Awards 2020 on women empowerment.
• The awards were presented based on the theme “Women Empowerment”.
• The winners were selected by AICTE (All India Council for Technical Education) in six sub-themes.

Additional Information

• List of winners:
• SWEAT (Sona Women Entrepreneurship and Training) from Sona College of Technology, Tamil Nadu won the award under the ‘Women Entrepreneurship’ sub theme.
• College from Tamil Nadu, Paritrana from St. Joseph’s College of Engineering won the award for the ‘Self Defense’ sub theme.
• Under the ‘Literacy’ sub theme, Bharatiya Vidyapeeth of the Institute of Management and Entrepreneurship Development Pune won the award.
• The Lilavati Award under the “Women’s Health” sub theme was won by the WIT Women Health Coalition from Walchand Institute of Technology, Maharashtra.
• Radiant Seetha from Thiagarajar Polytechnic College won the contest in the ‘Legal Awareness’ sub theme.
• Under the ‘Sanitation & Hygiene’ sub-theme, Smt. Kishoritai Bhoyar College of Pharmacy, Nagpur, Maharashtra won the award.

The correct answer is Substitute goods.

Key Points

• Substitute Goods are goods that are identical, similar or comparable to another product, in the eyes of the consumer, such that they can either fully or partly satisfy the same needs of the consumer.
• Substitute Goods are those goods which can be used with equal ease in place of one another.
• Demand for a good will bear a direct relationship to the price of its substitute good.
• For example, tea and coffee.

Additional Information

• Capital goods are physical assets that a company uses in the production process to manufacture products and services that consumers will later use.
• An intermediate good is a product used to produce a final good or finished product also referred to as a consumer good.
• Consumer goods are products bought for consumption by the average consumer.

The correct answer is Prairies.

Key Points

• The Prairies are known as the granaries of the world because of the huge production of wheat.
• The moderate temperature, reasonable rainfall, and fertile and humid soil in these prairies made them the main producer of wheat in the world.
• That is why they are known as the granaries of the world.
• The prairie is a region of surplus wheat production.

Additional Information

• Important Grasslands
• East Africa- Savanna
• Brazil- Campos
• Venezuela- Llanos
• Argentina- Pampas
• N. America- Prairie
• S. Africa- Veld
• C. Asia- Steppe
• Australia- Down

The correct answer is 32.

Key Points

• The following rules are followed for writing the number of electrons in different energy levels or shells:
• The maximum number of electrons present in a shell is given by the formula $= 2 n ^2$
• Where ‘n’ is the orbit number or energy level index, 1,2,3,....
• Hence the maximum number of electrons in different shells are as follows:
• first orbit or K-shell will be $= {2\times1^2}=2$
• second orbit or L-shell will be $= 2\times 2 ^2=8$
• third orbit or M-shell will be  $= 2\times 3^2 = 18$
• fourth orbit or N-shell will be$= 2\times 4^2=32$ and so on,
• The maximum number of electrons that can be accommodated in the outermost orbit is 32.

The correct answer is Persian.

Key Points

• The language of administration under the Delhi Sultans was Persian.
• We can say this because much literature of that time was written in the Persian language.
• ​The Delhi Sultanate literature began with the rise of Persian-speaking people to the throne of the Sultanate of Delhi, which naturally resulted in the spread of the Persian language in India.
• It was the official language and soon literary works in the language began to appear.
• Initially, Persian literature talked about topics that were familiar to those from Persia.

Additional Information

• Gradually however as more Indians learnt the language, the literary works began to have a more Indian theme.
• Amir Khusrau was a noted writer of the period, who was one of the first writers to write Persian literature about events concerning India.
• His inspiration came from events he saw around, his work soon grew to be appreciated and he became a court poet

The correct answer is 2.

Key Points

• 4 members represent Himachal Pradesh in the 17th Lok Sabha as of 22 November 2020.
• 4 MP of Himachal Pradesh
• Kangra - Kishan Kapoor
• Mandi - Pratibha Singh
• Hamirpur - Anurag Thakur
• Shimla - Suresh Kumar Kashyap

Additional Information

• The 17th Lok Sabha elections were held in seven phases from 11 April to 19 May 2019.
• Bhartiya Janta Party (BJP) won the majority (303 seats) and Narendra Modi has been elected as the Prime Minister.
• The 17th Lok Sabha has the highest ever number of women parliamentarians ever at 78.
• There are 545 seats in Lok Sabha and Uttar Pradesh has the maximum seats-80.
• Chief Election Commissioner-Rajiv Kumar
• Speaker of Lok Sabha-Om Birla
• Protem Speaker of Lok Sabha-Virendra Kumar

The correct answer is Hawa Mahal.

Key Points

• Hawa Mahal
• It is a palace in Jaipur, Rajasthan.
• The words “Hawa Mahal” means “Wind Palace.”
• It exhibits a unique combination of Mughal and Rajput architectural styles.
• It is a five-story pyramidal-shaped monument that rises to about 50 feet (15 m).
• Its five-floor exterior is akin to a honeycomb with its 953 small windows called Jharokhas.

Additional Information

• The Ujjayanta Palace is a museum and the former palace of the Kingdom of Tripura situated in Agartala, which is now the capital of the Indian state of Tripura.
• Bara Imambara, also known as Asfi Imambara is an imambara complex in Lucknow, India built by Asaf-ud-Daula, Nawab of Awadh in 1784.
• The Bibi Ka Maqbara is a tomb located in Aurangabad, Maharashtra, India.
• It was commissioned in 1660 by the Mughal emperor Aurangzeb in the memory of his wife Dilras Banu Begum.

The correct answer is Mughal Emperor.

Key Points

• Nizam-ul-Mulk Asaf Jah, the founder of Hyderabad state, was the most powerful member of the court of the Mughal Emperor, Farrukh Siyar.
• He was entrusted first with the governorship of Awadh, and later given charge of the Deccan.
• As the Mughal governor of the Deccan provinces, Asaf Jah already had full control over its political and financial administration.
• He already had complete control over his political and financial administration.
• He was first given the charge of the governor of Awadh and later the Deccan.
• He followed a tolerant policy against all religions.

Additional Information

• Farrukhsiyar(1713-1719 AD):
• Known as 'Sahid-i-Mazlum' and son of Azim-us-Shah.
• Assigned the duty of Deccan's governor to Chin Quilch Khan who was better known as 'Nizam-ul-Mulk'.
• Peshwa Balaji Vishwanath visited in his court to take grant for collecting Chauth and Sardesh Mukhi on Maratha land.
• Rafi Ush-Shan was the father of Rafi Ud-Darajat.
• He was the tenth Mughal Emperor.

The correct answer is 12 November.

Key Points

• World Pneumonia Day is observed globally on 12th November every year.
• It aims to highlight the fact that pneumonia remains the world’s leading killer of adults and children – claiming the lives of 2.5 million in 2019, including 672,000 children.
• The day was first celebrated in the year 2009.
• Symptoms of pneumonia may include cough, fever, shortness of breath, etc.

Additional Information

Important days:

The correct answer is Education for All.

Key Points

• The union budget of India was introduced on 1 February 2020 by Finance Minister Nirmala Sitharaman.
• The  budget is woven around three prominent themes
• ​​Aspirational India.
• Economic Development.
• Caring Society.

Hence Education for All was NOT the theme for Union Budget 2020-21.

• This is the first time since 1993 that the deposit insurance coverage has been raised.
• In May 1993, deposit insurance cover was increased to Rs 1 lakh from Rs 30,000.
• The Indian Union Budget 2020-21 announced that the Deposit Insurance and Credit Guarantee Corporation (DICGC) has been permitted to increase deposit insurance coverage to Rs. 5 lakh per depositor from Rs. 1 lakh previously.
• If a customer’s deposit amount crosses Rs 5 lakh in a single bank, only up to Rs 5 lakh, including the principal and interest, will be paid by the DICGC if the bank turns bankrupt.​

Additional Information

• Independent India's first budget was presented on November 26, 1947, by the then Finance Minister RK Shanmukham Chetty.
• Sitharaman holds the record for delivering the longest speech when she spoke for 2 hours and 42 minutes while presenting the Union Budget 2020-21.
• The covid-19 pandemic turned the Budget for 2021-22 paperless - a first in Independent India.
• In 2019, Sitharaman became the second woman to have presented the budget after Indira Gandhi.

The correct answer is Sania Mirza.

Key Points

• Sania Mirza became the first Indian to win the Fed Cup Heart Award 2020 for Asia/Oceania zone, for her successful return to the court post-motherhood.
• She became the first Indian to win Fed Cup Heart Award and she donated a 2k$ prize to Telangana's CM Relief Fund.
• She won the award for Asia/Oceania zone after securing a whopping 10,000 plus votes out of the total 16,985 casts for this year's three regional Group I nominees.

Additional Information

• Sania Mirza-
• Sania Mirza has won six grand slams and also became doubles world no. 1.
• In July 2016, Mirza published an autobiography titled Ace Against Odds.
• She has been awarded Rajiv Gandhi Khel Ratan Award in 2015 and Padma Bhushan in 2016.
• She also won the NRI of the year award of 2016.

The correct answer is It applies to certain parts of India.

Important Points

• ​The Equal Remuneration Act, of 1976 provides for payment of equal wages for work of the same and similar nature to male and female workers and for not making discrimination against female employees in matters of transfers, training and promotion etc.
• It is a Central Legislation.
• ​Hence statement 2 is correct.
• Article 39 which is included in the Constitution of India deals with equal remuneration pay.
• The equal remuneration act extends to the whole of India.
• ​Hence statement 1 is INCORRECT.
• Provisions of the Act extend to all categories/types of employment.
• The main Object and scope of  this Act
• Payment of equal remuneration to men and women workers for the same work or work of similar nature without any discrimination based on gender.
• ​Hence statement 3 is correct.
• To prevent discrimination based on gender, especially against women employees while making recruitment of women for the same work or work of similar nature or in any condition of service after the recruitment of women.
• The Act provides for the payment of equal remuneration to men and women workers for the same work or work of a similar nature and the prevention of discrimination on the ground of sex against women in the matter of employment.
• ​Hence statement 4 is correct.

The correct answer is 2014.

Key Points

• Malala Yousafzai is a Pakistani activist for female education.
• In 2014, she was awarded the Nobel Peace Prize.
• She is the youngest Nobel Prize laureate.
• She was honored with the Nobel Prize at the age of 17.
• Kailash Satyarthi and Malala Yousafzai shared the Nobel Peace Prize in 2014.

Additional Information

• Notable work of Malala Yousafzai:
• We are displaced: True Stories of Refugee Lives.
• Malala's Magic Pencil.
• My Story of Standing Up for Girls' Rights.
• Pakistan's first National Youth Peace Prize was given to her.
• 'Gul Makai' is a Malala Yousafzai biographical drama.
• Between 1901 and 2021, 947 laureates and 28 organizations received the Nobel Prize.

The correct answer is 2019.

Key Points

• India completed the 50th anniversary of bank nationalisation programme in 2019.
• The Government of India on Nationalised the 14 largest commercial banks on 19 July 1969.

Additional Information

• The Nationalisation was done through the Banking Companies (Acquisition and Transfer of Undertakings) Ordinance, 1969.
• This was the bold decision taken by that time Prime Minister of India Smt Indira Gandhi.
• These lenders held over 80 percent of bank deposits in the country.
• In, 1980 Another Six Private Banks were Nationalised.
• At Present, currently, there are 19 Nationalised banks in India.
• Till the year 1969, the State Bank of India (SBI) was the only bank that was not Privately Owned, which was called the Imperial Bank before its Nationalisation in the year 1955.

Shortcut Trick

Effective Compound Interest (CI) rate for 2 years at 10% = 10 + 10 + (10 × 10)/100 = 21%.

Given, 21% of Principal = ₹651 ⇒ 1% = 651 ÷ 21 = 31.

New conditions: Time = 4 years (double) and Rate = 5% (half).

Total Simple Interest (SI) rate = 4 × 5% = 20%.

Since 1% = 31, then 20% = 20 × 31 = 620.

∴ The correct answer is ₹620.

Alternate Method

Given: CI = ₹651, Time (T₁) = 2 years, Rate (R₁) = 10% p.a.

Formula Used: CI = P[(1 + R/100)ⁿ − 1]; SI = (P × R × T) / 100

⇒ CI = P[(1 + 10/100)² − 1]

⇒ 651 = P[(1.1)² − 1]

⇒ 651 = P[1.21 − 1] = 0.21P

⇒ P = 651 ÷ 0.21 = ₹3100

⇒ New conditions: Time (T₂) = 2 × 2 = 4 years, Rate (R₂) = 10 ÷ 2 = 5%

⇒ SI = (3100 × 5 × 4) ÷ 100

⇒ SI = 31 × 20 = ₹620

∴ The correct answer is ₹620.

Additional Information

Effective Rate of Compound Interest

For 2 years, the effective rate of CI is R + R + (R²/100) percent.

Simple Interest Property

Simple Interest remains constant every year for a fixed principal and rate. SI = P × R × T / 100.

Comparison of SI and CI

For the first year, CI and SI are equal if the interest is compounded annually. For 2 years, CI − SI = P(R/100)².

Given:-

A can do a work in 10 days

B can do a work in 12 days

they undertake to do job for Rs. 6000

Concept used:-

Efficiancy concept related to work and time.

Total work = LCM(Time taken by all individual)

Calculation:-

Total work = LCM(10, 12)

Total work = 60 units

Rs. per unit = 6000/60 = 100 Rs. per unit

∴ A's per day work = 60/10 = 6 units

A's per day income = 6 × 100 = Rs. 600

B's per day work = 60/12 = 5 units

B's per day income = 5 × 100 = Rs. 500

Let C's per day work = x units

According to Question-

⇒ (6 × 4) + (5 × 4) + (x × 4) = 60

⇒ 24 + 20 + 4x = 60

⇒ 4x = 60 - 44

⇒ x = 16/4

⇒ x = 4 units

C's per day income = 4 × 100 = Rs. 400 

∴ C should be paid for work = 400 × 4 = Rs.1600

Given: 

25 and 750 are the HCF and the LCM of two numbers

If one of the two numbers is 75

Concept used:

LCM × HCF = First number × Second number

Calculation:

LCM × HCF = First number × Second number

⇒ 750 × 25 = 75 × Second number

⇒ Second number = 18750/75 = 250

∴ The second number is 250.

Given:

Total weight of 24 boys is 1080 kg

Solution:

Average weight of 24 boys = 1080/24 = 45

According to question,

Average weight of girls = 45 - 7 = 38

Total Weight of 28 girls = 38 × 28

⇒ 1064 kg

The total weight of 28 girls is 1064 kg.

Shortcut Trick

Radius (r) = Curved Surface Area ÷ (2 × π × h) = 264 ÷ (2 × 22/7 × 14) = 3 cm.

Volume (V) = (Curved Surface Area × Radius) ÷ 2 = (264 × 3) ÷ 2.

⇒ Volume = 132 × 3 = 396 cm³.

∴ The correct answer is 396 cm³.

Alternate Method

Given:

Height (h) of the cylinder = 14 cm

Curved Surface Area (CSA) = 264 cm²

Formula Used:

Curved Surface Area (CSA) = 2πrh

Volume (V) = πr²h

Calculations:

⇒ CSA = 2 × (22/7) × r × 14 = 264

⇒ 2 × 22 × r × 2 = 264

⇒ 88 × r = 264

⇒ Radius (r) = 264 ÷ 88 = 3 cm

⇒ Volume (V) = πr²h

⇒ Volume = (22/7) × 3 × 3 × 14

⇒ Volume = 22 × 9 × 2

⇒ Volume = 44 × 9 = 396 cm³

∴ The correct answer is 396 cm³.

Additional Information

Total Surface Area of Cylinder

The Total Surface Area includes the curved surface and the two circular ends: TSA = 2πr(r + h).

Volume and CSA Relation

The Volume of a cylinder is directly related to its Curved Surface Area by the formula: Volume = (CSA × r) ÷ 2.

Volume of a Cone

For a cone with the same radius and height, the volume is exactly one-third of the cylinder: V = (1/3)πr²h.

Shortcut Trick

Solve using the BODMAS priority (Of → Division → Addition/Subtraction).

Simplify: (2 × 8) ÷ 3 + (19/5) ÷ x = 62/9 + 43/9

16/3 + 19/5x = 105/9 ⇒ 16/3 + 19/5x = 35/3

19/5x = 35/3 − 16/3 ⇒ 19/5x = 19/3

By comparing the numerators: 5x = 3 ⇒ x = 3/5

∴ The correct answer is 3/5.

Alternate Method

Given Equation: 2 of 8 ÷ 3 + 3 4/5 ÷ x − 4 7/9 = 6 8/9

Method: Apply the BODMAS rule to simplify the expression step by step.

⇒ 2 × 8 ÷ 3 + 19/5 ÷ x − 43/9 = 62/9

⇒ 16 ÷ 3 + 19/5x − 43/9 = 62/9

⇒ 16/3 + 19/5x = 62/9 + 43/9

⇒ 16/3 + 19/5x = 105/9

⇒ 16/3 + 19/5x = 35/3

⇒ 19/5x = 35/3 − 16/3

⇒ 19/5x = 19/3

⇒ 1/5x = 1/3

⇒ 5x = 3

⇒ x = 3/5

∴ The correct answer is 3/5.

Additional Information

BODMAS Rule

It defines the order of operations: Brackets, Of (Multiplication), Division, Multiplication, Addition, and Subtraction.

Mixed Fraction Conversion

To convert a mixed fraction a b/c to an improper fraction, use the formula: (a × c + b) / c.

Division of Fractions

To divide by a fraction or variable, multiply by its reciprocal: (a/b) ÷ x = a/(b × x).

Shortcut Trick

Balance after 1^st year = (15000 × 1.15) − 2500 = 14750

Balance after 2^nd year = (14750 × 1.15) − 2500 = 14462.5

Balance after 3^rd year = (14462.5 × 1.15) − 2500 = 14131.875

On rounding to two decimal places, the remaining amount is Rs. 14,131.87.

∴ The correct answer is Rs. 14,131.87.

Alternate Method

Given:

Borrowed Principal (P) = Rs. 15000

Rate of Interest (r) = 15% p.a. (Compounded Annually)

Annual Repayment (x) = Rs. 2500

Formula Used:

Balance after n years = P(1 + r/100)ⁿ − x[((1 + r/100)ⁿ − 1) / (r/100)]

Calculations:

⇒ Total amount accrued after 3 years = 15000 × (1 + 15/100)³

⇒ 15000 × (1.15)³ = 15000 × 1.520875 = 22813.125

⇒ Total value of repayments at the end of 3 years = 2500 × [(1.15³ − 1) / 0.15]

⇒ 2500 × [0.520875 / 0.15] = 2500 × 3.4725 = 8681.25

⇒ Balance Owed = 22813.125 − 8681.25 = 14131.875

⇒ Remaining Debt ≈ Rs. 14,131.87

∴ The correct answer is Rs. 14,131.87.

Additional Information

Compound Interest Concept

In Compound Interest, the interest for each period is added to the principal to calculate the interest for the next period. Formula: A = P(1 + r/n)^nt.

Reducing Balance Method

When a part payment is made, it is first adjusted against the accrued interest and the remainder reduces the Principal for the next calculation cycle.

Rule of 72

A quick way to estimate how long it takes for an investment to double: Years to double ≈ 72 ÷ Annual Interest Rate.

Given: 

⇒  $\frac{3}{5}$ ÷ 4$\frac{4}{5}$ of $\frac{5}{16}$ + $\frac{2}{3}$ ÷ $\frac{8}{15}$× 1$\frac{1}{5}$ - $\frac{1}{4}$ × $\frac{3}{4}$ ÷ 1$\frac{1}{4}$ of $\frac{2}{5}$ 

Concept used: 

Calculation: 

⇒  $\frac{3}{5}$ ÷ 4$\frac{4}{5}$ of $\frac{5}{16}$ + $\frac{2}{3}$ ÷ $\frac{8}{15}$× 1$\frac{1}{5}$ - $\frac{1}{4}$ × $\frac{3}{4}$ ÷ 1$\frac{1}{4}$ of $\frac{2}{5}$ 

⇒  $\frac{3}{5}$ ÷ $\frac{24}{5}$ of $\frac{5}{16}$ + $\frac{2}{3}$ ÷ $\frac{8}{15}$× $\frac{6}{5}$ - $\frac{1}{4}$ × $\frac{3}{4}$ ÷ $\frac{5}{4}$ of $\frac{2}{5}$ 

⇒  $\frac{3}{5}$ ÷ $\frac{24}{5}$ × $\frac{5}{16}$ + $\frac{2}{3}$ ÷ $\frac{8}{15}$× $\frac{6}{5}$ - $\frac{1}{4}$ × $\frac{3}{4}$ ÷ $\frac{5}{4}$ ×  $\frac{2}{5}$ 

⇒  $\frac{3}{5}$ ÷ $\frac{3}{2}$ + $\frac{2}{3}$ ÷ $\frac{8}{15}$× $\frac{6}{5}$ - $\frac{1}{4}$ × $\frac{3}{4}$ ÷ $\frac{1}{2}$ 

⇒  $\frac{3}{5}$ × $\frac{2}{3}$ + $\frac{2}{3}$ × $\frac{15}{8}$× $\frac{6}{5}$ - $\frac{1}{4}$ × $\frac{3}{4}$ × $\frac{2}{1}$ 

⇒  $\frac{2}{5}$ + $\frac{3}{2}$ - $\frac{3}{8}$

⇒  $\frac{61}{40}$

Given:

Average of five consecutive even numbers = 36

Formula used:

Average = Sum of total number/Total number

Calculation:

Let the five consecutive even numbers are x, (x + 2), (x + 4), (x + 6), (x + 8) 

Average = Sum of total number/Total number

⇒ 36 = $\frac{x + (x + 2) + (x + 4) + (x + 6) + (x + 8)}{5}$

⇒ 36 = (5x + 20)/5

⇒ 36 = x + 4

⇒ x = 36 - 4 

⇒ x = 32

Now,

x + 2 = 32 + 2 = 34

x + 4 = 32 + 4 = 36

x + 6 = 32 + 6 = 38

x + 8 = 32 + 8 = 40

So, the five consecutive even numbers are 32, 34, 36, 38, 40

Now, the next five consecutive odd numbers 41, 43, 45, 47, and 49.

Average = Sum of total number/Total number

Average = $\frac{32+34+36+38+40+41+43+45+47+49}{10}$ = $\frac{405}{10}$ 

Average = 40.5

∴ The average of all the numbers is 40.5

Given:

Ratio of A & B is 7 : 9

Total amount = 1,26,672

Calculation:

A : B = 7 : 9

A = 7x, B = 9x

Sum of A + B = 16x

Difference between A & B = 2x

Now, 16x = 1,26,672

So, 2x = $1,26,672 \times 2\over16$ = 15834

So, the difference between A & B is 15834.

Shortcut Trick

Sum of length and width (l + b) = Perimeter ÷ 2 = 40 ÷ 2 = 20 m.

Area (l × b) = 72 m².

Relationship: Diagonal² = (l + b)² − 2(l × b).

Diagonal² = 20² − 2 × 72 = 400 − 144 = 256.

Diagonal = √256 = 16 m.

∴ The correct answer is 16 m.

Alternate Method

Given:

Perimeter of the rectangular sheet = 40 m

Area of the rectangular sheet = 72 m²

Formula Used:

1. Perimeter = 2(Length + Breadth)
2. Area = Length × Breadth
3. Diagonal (d) = √(Length² + Breadth²)

Calculations:

⇒ 2(l + b) = 40

⇒ l + b = 20 m

⇒ l × b = 72 m²

We know that (l + b)² = l² + b² + 2lb

⇒ 20² = l² + b² + 2(72)

⇒ 400 = l² + b² + 144

⇒ l² + b² = 400 − 144

⇒ l² + b² = 256

⇒ Diagonal (d) = √(l² + b²) = √256

⇒ d = 16 m

∴ The correct answer is 16 m.

Additional Information

Pythagoras Theorem in Rectangle

A rectangle is divided into two right-angled triangles by its diagonal. Thus, d² = l² + b².

Direct Relation Formula

The diagonal can be directly found if perimeter (P) and area (A) are known: d = √[(P/2)² − 2A].

Rectangle Diagonals

In a rectangle, both diagonals are equal in length and bisect each other.

Shortcut Trick

B's 12% loss is given as Rs. 72, making A's details irrelevant for solving.

Cost Price for B = 72 × (100 ÷ 12) = Rs. 600

Cost Price for C (B's Selling Price) = 600 − 72 = Rs. 528

Cost Price for D (C's Selling Price) = 528 × (125 ÷ 100) = Rs. 660

∴ The correct answer is Rs. 660.

Alternate Method

Given:

Profit percentage of A = 20%

Loss percentage of B = 12%

Loss amount of B = Rs. 72

Profit percentage of C = 25%

A's CP Rs. 500

+20%

B's CP Rs. 600

-12% (Rs. 72)

C's CP Rs. 528

+25%

D's CP Rs. 660

Calculations:

Let the cost price of B be CP_B.

⇒ 12% of CP_B = 72

⇒ (12 ÷ 100) × CP_B = 72

⇒ CP_B = (72 × 100) ÷ 12 = Rs. 600

The selling price of B becomes the cost price of C (CP_C).

⇒ CP_C = CP_B − Loss of B

⇒ CP_C = 600 − 72 = Rs. 528

Now, C sold it to D at 25% profit.

⇒ SP_C = CP_C × (100 + Profit%) ÷ 100

⇒ CP_D = 528 × (125 ÷ 100)

⇒ CP_D = 528 × (5 ÷ 4)

⇒ CP_D = 132 × 5 = Rs. 660

∴ The correct answer is Rs. 660.

Additional Information

Successive Transactions

When an item is sold successively through multiple steps, the Selling Price (SP) of the current seller becomes the Cost Price (CP) for the next buyer. Example: SP_A = CP_B.

Profit & Loss Percentage

Profit % = (Profit ÷ CP) × 100 and Loss % = (Loss ÷ CP) × 100. Both are always calculated on the base Cost Price (CP) unless specified otherwise.

Identifying Redundant Data

In multi-step math problems, if the exact absolute value (like loss amount) is provided for an intermediate step, the calculations regarding prior steps can be ignored to save time.

Given:-

Speed of train is decreased by 25%

And it takes 42 min more to cover the same distance.

Formula used:-

Time = Distance/Speed

Calculation:-

Let Time be 't', Distance be 'd', and Speed be 's'

Case-1

Time(t) = d/s

∴ d = t × s    ....(i)

Case-(2)

t + 42/60 = d/(0.75 × s)    ∵ (42 mins = 42/60 hours) 

∴ d = (t + 7/10) × (0.75 × s)

d = (10t + 7)/10 × (0.75 × s)       .......(ii)

From equation (i) and (ii)

t × s = [(10t + 7) × (0.75 × s)]/10

10t = 7.5t + 5.25

2.5t = 5.25

t = 2.1 hours or 21/10 hours

∴ Time taken by train is 2$\large{\frac{1}{10}}$ hours.

Given:

A plot is sold for Rs. 34,080 and the owner loses 20%. 

Formula used:

P% = $\frac{SP - CP}{CP}×100$

L% = $\frac{CP - SP}{CP}×100$

Calculation:

Plot is sold for Rs. 34,080 and the owner loses 20%

L% = $\frac{CP - SP}{CP}×100$

⇒ 20 = $\frac{CP - 34080}{CP}×100$

⇒ 20CP = 100CP - 3408000 

⇒ 100CP - 20CP = 3408000

⇒ 80CP = 3408000

⇒ CP = 3408000/80 = 42600

Again,

P% = $\frac{SP - CP}{CP}×100$

⇒ 20 = $\frac{SP - 42600}{42600}×100$

⇒ 20 × 42600 = 100SP - 4260000

⇒ 852000 = 100SP - 4260000

⇒ 100SP = 852000 + 4260000

⇒ SP = 5112000/100 = 51120 

∴ The plot is sold for Rs. 51120.

Given:

32 workers working for 9 hours a day can finish work in 14 days

M₁ = 32

H₁ = 9 hours

D₁ = 14 days

H2 = 8 hours

D₂ = 18 days

Concept used:

M₁ × H₁ × D₁ = M2 × H2 × D2 

Calculation:

⇒ 32 × 9 × 14 = M₂ × 8 × 18

M₂ = 4032/144

M₂ = 28 

∴  28 workers are required to finish the same work in 18 days.

Shortcut Trick

Total Interest for 1 year = (1800 × 6%) + (2800 × 7%) = 108 + 196 = ₹304.

Time (T) = Total Interest ÷ Interest per year = 2736 ÷ 304 = 9 years.

Shiv's Interest = 2500 × 8% × 9 = 200 × 9 = ₹1800.

Shiv's Total Amount = Principal + Interest = 2500 + 1800 = ₹4300.

∴ The correct answer is ₹4300.

Alternate Method

Given: P₁ = ₹1800, R₁ = 6%, P₂ = ₹2800, R₂ = 7%, Total Interest = ₹2736, Shiv's P = ₹2500, Shiv's R = 8%.

Formula Used: Simple Interest (SI) = (P × R × T) ÷ 100; Amount = P + SI

⇒ SI₁ + SI₂ = 2736

⇒ [(1800 × 6 × T) ÷ 100] + [(2800 × 7 × T) ÷ 100] = 2736

⇒ 108T + 196T = 2736

⇒ 304T = 2736 ⇒ T = 9 years

⇒ Shiv's SI = (2500 × 8 × 9) ÷ 100 = 1800

⇒ Shiv's Total Payment = 2500 + 1800 = 4300

∴ The correct answer is ₹4300.

Additional Information

Simple Interest Formula

SI = (P × R × T) ÷ 100, where P is Principal, R is Rate per annum, and T is Time in years.

Total Amount

Amount (A) = Principal (P) + Simple Interest (SI). It is the total money returned to the lender.

Rate and Time Relationship

If the Principal is constant, SI is directly proportional to the product of Rate and Time (R × T).

Given:

Three successive discounts of 8%, 12.5%, and 20%

Formula used:

Single equivalent discount = x + y - xy/100

Calculation:

Let Price = 100

The sale price after three successive discounts = Price × (1 - x/100) (1 - y/100) (1 - z/100)

⇒ 100 × (1 - 8/100) (1 - 12.5/100) (1 - 20/100)

⇒ 100 × (92/100) (87.5/100) (80/100)

⇒ 64.4

Now,

Single equivalent discount = 100 - 64.4

∴ The single equivalent discount is 35.6%

Calculation:

According to question, 

⇒ 440 × 35/100 = 154

Let the number be x added so that 

The sum may be equal to 42% of 550

⇒ 154 + x = 550 × 42/100

⇒ 154 + x = 231

⇒ x = 77

∴ The Required number is 77

Given:

Car covers a distance in 6 hours.

The speed been increased by 10 km/h, then

The same distance could have been covered in 5 hours.

Formula used:

Distance = Speed × Time

Calculation:

Let the speed of car be S km/h

According to the question, 

The same distance is covered in both case

S × T₁ = (S + 10) × T₂

⇒ S × 6 = (S + 10) × 5

⇒ S × 6 = S × 5 + 50

⇒ 6S - 5S = 50

⇒ S = 50 km/h

Distance = Speed × Time

⇒ 50 × 6 = 300 km

∴ The Required distance is 300 km.

Shortcut Trick

Average Cost Price (CP) of the two equal lots = (60 + 50) ÷ 2 = ₹55 per dozen.

Selling Price (SP) for all eggs = ₹70 per dozen.

Profit per dozen = SP − Avg CP = 70 − 55 = ₹15.

Total dozens bought = Total Profit ÷ Profit per dozen = 930 ÷ 15 = 62 dozens.

∴ The correct answer is 62 dozens.

Alternate Method

Given:

Cost Price of 1^st lot = ₹60 per dozen

Cost Price of 2^nd lot = ₹50 per dozen

Selling Price = ₹70 per dozen

Total Profit = ₹930

Formula Used:

Total Profit = (Total Selling Price) − (Total Cost Price)

⇒ Let the number of eggs in each lot be x dozens.

⇒ Total eggs bought = x + x = 2x dozens.

⇒ Total Cost Price (CP) = (60 × x) + (50 × x) = 110x.

⇒ Total Selling Price (SP) = 70 × (2x) = 140x.

⇒ Total Profit = 140x − 110x = 30x.

⇒ 30x = 930.

⇒ x = 930 ÷ 30 = 31 dozens.

⇒ Total number of eggs bought = 2 × 31 = 62 dozens.

∴ The correct answer is 62 dozens.

Additional Information

Profit and Loss Formulas

Profit = Selling Price − Cost Price; Profit% = (Profit ÷ Cost Price) × 100.

Weighted Average Cost Price

When quantities are equal, Average CP = (CP₁ + CP₂) ÷ 2. If quantities are different (n₁, n₂), then Average CP = (n₁CP₁ + n₂CP₂) ÷ (n₁ + n₂).

Calculating SP from Gain%

Selling Price = Cost Price × (100 + Gain%) ÷ 100.

Shortcut Trick

Ratio of Cost Price (CP) to Selling Price (SP) is 3 : 5 (since SP = 5/3 CP).

Selling Price (SP) = 65% of Marked Price (MP) = 0.65 × 700 = ₹455.

5 units = ₹455 ⇒ 1 unit = ₹91.

Cost Price (CP) = 3 units = 3 × 91 = ₹273.

∴ The correct answer is ₹273.

Alternate Method

Given:

Marked Price (MP) = ₹700

Discount Percentage = 35%

Relation: Selling Price (SP) = (5/3) × Cost Price (CP)

Formula Used:

SP = MP × (100 − Discount%)/100

CP = SP × (3/5)

Calculations:

⇒ SP = 700 × (100 − 35)/100

⇒ SP = 700 × 65/100

⇒ SP = 7 × 65 = ₹455

⇒ According to the question, 455 = (5/3) × CP

⇒ CP = (455 × 3) / 5

⇒ CP = 91 × 3

⇒ CP = ₹273

∴ The correct answer is ₹273.

Additional Information

Relation between CP and MP

The direct ratio is MP/CP = (100 + Profit%)/(100 − Discount%).

Marked Price (MP)

It is the price printed on the label of an article, also known as the list price.

Discount Calculation

Discount is always calculated on the Marked Price. SP = MP − Discount.

Profit and Loss

Profit or Loss is always calculated on the Cost Price unless specified otherwise. Profit = SP − CP.

Calculation:

Number of rows = 6, 10, 12 and 15. 

LCM = 6, 10, 12 and 15

⇒ 6 = 2 × 3

⇒ 10 = 2 × 5

⇒ 12 = 2 × 2 × 3

⇒ 15 = 5 × 3

LCM = 2 × 3 × 5 × 2 = 60

There are two 2 which gives a square of 2 but only one 3 and one 5 so, to get a perfect square number we have to multiply 60 by 3 and 5.

The perfect square is 60 × 3 × 5 = 900.

Shortcut Trick

Remaining mixture after removing 4 Litres = 35 − 4 = 31 Litres.

Since the ratio remains 3 : 2, Milk = (3/5) × 31 = 18.6 Litres and Water = (2/5) × 31 = 12.4 Litres.

Add 4 Litres of pure Milk: New Milk = 18.6 + 4 = 22.6 Litres.

New Ratio = 22.6 : 12.4 = 226 : 124 = 113 : 62.

∴ The correct answer is 113 : 62.

Alternate Method

Given:

Total volume of mixture = 35 Litres

Initial Ratio (Milk : Water) = 3 : 2

Quantity replaced = 4 Litres

Calculations:

⇒ Initial Milk = (3/5) × 35 = 21 Litres

⇒ Initial Water = (2/5) × 35 = 14 Litres

⇒ Milk in 4 Litres mixture = (3/5) × 4 = 2.4 Litres

⇒ Water in 4 Litres mixture = (2/5) × 4 = 1.6 Litres

⇒ Remaining Milk = 21 − 2.4 = 18.6 Litres

⇒ Remaining Water = 14 − 1.6 = 12.4 Litres

⇒ After adding 4 Litres of Milk, New Milk = 18.6 + 4 = 22.6 Litres

⇒ New Ratio (Milk : Water) = 22.6 : 12.4

⇒ New Ratio = 226 : 124 = 113 : 62

∴ The correct answer is 113 : 62.

Additional Information

Mixture Replacement Rule

When a portion of a mixture is removed, the ratio of the components in the remaining mixture and the removed part remains the same as the original ratio.

Ratio Definition

A ratio a : b indicates that the quantity is divided into (a + b) parts, where the first component represents a/(a+b) of the total.

Successive Replacement Formula

Final Quantity = Initial Quantity × (1 − Replaced Volume/Total Volume)ⁿ, where n is the number of times the process is repeated.

Given:-

P:Q:R = 13:17:25

R = 6800 + Q

Calculation:-

Let the sum of money be 'x'

P's share = (13x)/55

Q's share = (17x)/55

R's share = (25x)/55

∵ R's share = 6800 + Q's share

⇒ (25x)/55 = 6800 + (17x)/55

⇒ (25x - 17x)/55 = 6800

⇒ 8x/55 = 6800

⇒ x = (6800 × 55)/8

⇒ x = 850 × 55

⇒ x = 46750 

∴ P's share = (13 × 46750)/55

⇒ 11050

Q's share = (17 × 46750)/55

⇒ 14450

∴ Difference b/w P and Q's share = 14450 - 11050

⇒ 3400

∴ Difference b/w P and Q's share is 3400

Given:

Student got 160.

He required 50 number more to secure minimum 35% marks.

Calculation:

Let the maximum number be x.

Total marks required for the student to pass = 160 + 50 = 210

So, 35 % of x = 210

⇒ $35\over100$x = 210

⇒ x = 600

∴ The maximum mark is 600.

The correct answer is 'Mannequin'.

Key Points

• The one-word substitute for the given group of words is 'Mannequin.'
• The marked option Mannequin means a model of a human body used for displaying clothes in shop windows.
• Example:That mannequin outside that clothing store looked so real to me.
• Therefore, the correct answer is option 1.

The correct answer is 'than Mr. Sen.'

Key Points

• We know that this is a grammatically incorrect sentence.
• We need to choose that segment as our marked option which is erroneous.
• In this the error lies in 'than Mr. Sen' part of the sentence.
• Instead of 'than', we need to use 'To' for making this sentencing error-free.
• Here, the concept of prepositions is brought under consideration. Words like 'senior, anterior, posterior, junior' take the preposition 'to after them.
• As per the above rule, we will use 'senior to'.
• Thus, the correct answer is option 3.

The correct answer is 'works'.

Key Points

• The given sentence is grammatically incorrect.
• The error lies in underlined segment .
• As the given sentence is an unconditional sentence,the main clause should be in the future tense and the subordinate clause should be in the present indefinite tense.
• Let's consider the structure of this condit

The correct answer is 'To become upset or angry'.

Key Points

• The given idiom 'To lose one’s head' means to become very upset or angry.
• Example:  Our team captain stays calm in adverse situations and does not lose his head.
• Therefore, from the given meaning and the example sentence, the most appropriate meaning is ' to become upset or angry'.
• Hence, the correct answer is option 3.

The correct answer is 'can live for an extremely long time'. 

Key Points

• The given sentence has an underlined segment.
• We need to substitute that underlined segment if there is any grammatical error in it.
• In this question, in the underlined segment, there is inappropriate usage of prepositions and therefore we need to substitute it.
• Preposition 'for' is used for saying how long something lasts .
• Thus, it is clear that instead of can live in , we will use 'can live for' to make this sentence grammatically and contextually correct.
• Hence, the correct answer is option 2.