SSC GD Constable Previous Year Paper (Held on: 15th February 2019 Shift 2)

The pattern followed is,

The figure is moving anti clockwise by one position.

The figure which will come next in the pattern is,

Hence, option 2 is the correct answer.

The figure which will complete the given pattern is,

Hence, option 4 is the correct answer.

The pattern followed is,

Hence, “- 11” is the correct answer.

The pattern followed is,

Each term in the series is divisible by 15 except 85

45 ÷ 15 = 3

75 ÷ 15 = 5

85 ÷ 15 = Not divisible

105 ÷ 15 = 7

Hence, “85” is the odd number.

The least possible Venn diagram is,

Conclusion I: No nail is a pin → False (This is definitely false)

Conclusion II: Some pins are nails → True (This is definitely true)

Hence, “only conclusion II” follows.

Arranging them according to the given information,

A is opposite D and third to the right of B.

E is between C and D.                          

G is between A and F.

H is to the immediate right of A.

‘F’ is sitting opposite C.

Hence, “F” is the correct answer.

Arranging them according to the given information,

J teaches Science on Wednesday.

O teaches Math second day after J.

K teaches on the first day of the week, but teaches neither Hindi nor English.

 

M teaches English before N and L teaches Arts before J.

K does not teach Hindi, so N teaches Hindi.

The only subject left is Social Science which is taught by K.

 

N teaches on Saturday.

Hence, “N” is the correct answer.

Interchanging the symbols and using BODMAS rule,

Option 1 → − and ÷

The original equation is,

15 + 15 × 15 − 15 ÷ 15 = 15

Interchanging the signs,

L.H.S = 15 + 15 × 15 ÷ 15 - 15

15 + 15 × 1 – 15

15 + 15 – 15

30 – 15

15 = R.H.S

Option 2 → + and −

The original equation is,

15 + 15 × 15 − 15 ÷ 15 = 15

Interchanging the signs,

L.H.S. = 15 – 15 × 15 + 15 ÷ 15

15 – 15 × 15 + 1

15 – 225 + 1

16 – 225 = - 209 ≠ R.H.S

Option 3 → × and ÷

The original equation is,

15 + 15 × 15 − 15 ÷ 15 = 15

Interchanging the signs,

15 + 15 ÷ 15 – 15 × 15

15 + 1 – 15 × 15

16 – 225 = - 209 ≠ R.H.S

Option 4 → + and ×

The original equation is,

15 + 15 × 15 − 15 ÷ 15 = 15

Interchanging the signs,

15 × 15 + 15 – 15 ÷ 15

15 × 15 + 15 – 1

225 + 15 – 1

240 – 1 = 239 ≠ R.H.S

Hence, option 1 is the correct answer.

The least possible Venn diagram is,

Conclusion I: Some griefs are angers → True (as some angers are griefs given so some griefs are also angers it is definitely true)

Conclusion II: Some loves are griefs → True (as some griefs are loves given so some loves are also griefs it is definitely true)

Hence, “Both conclusions follows" is the correct answer.

Additional Information

The pattern followed is,

Similarly,

Hence, “RISI” is the correct answer.

The pattern followed is,

Odd number squares and even number cubes are continuously in the given diagram.

1² = 1

2³ = 8

3² = 9

4³ = 64

5² = 25

6³ = 216

Hence, “216” is the correct answer.

VIBGYOR → 7 colours → Violet, Indigo, Blue, Green, Yellow, Orange and Red.

Yellow, Red and Blue colours in VIBGYOR.

Whereas, Purple is not a colour in VIBGYOR.

Hence, “purple” is the odd one.

Alternate Method

Red, Blue and Yellow are primary colours while Purple is not a primary colour. Therefore, Purple colour does not belong to the group.

The pattern followed is,

Similarly,

Hence, “150” is the correct answer.

The pattern followed is,

Hence, “107” is the correct answer.

The mirror image of the given figure when the mirror is placed at right side is,

Hence, option 4 is the correct answer.

The pattern followed is,

Hence, “LWV” is the correct answer.

The pattern followed is,

Similarly,

Hence, “NVZ” is the correct answer.

Pathology is the study of the causes and effects of diseases.

Similarly,

Astronomy is the study of celestial bodies, planets are celestial bodies.

‘Planets’ is related to the third term in the same way as the second term is related to the first term.

Hence, “planets” is the correct answer.

The pattern which will appear when the transparent sheet is folded along the dotted line is,

Hence, option 1 is the correct answer.

Note: This is SSC's previous year question and the answer given is 5. Also, according to options, only the above logic follows.

The pattern followed here is:

Similarly,

Hence, “5” is the correct answer.

Alternate Method

The pattern followed here is,

For 24: 4,

24 ÷ 4 = 6

24 is divisible by 4, in the same way, 45 will be divisible by 5.

Similarly,

For 45: ?

45 ÷ 5 = 9

5 is the only number among the given options, by which 45 is divisible.

‘5’ is related to the third number in the same way as the second number is related to the first number.

Hence, “5” is the correct answer.

The figure is embedded in,

Hence, option 4 is the correct answer.

Chairs are a part of furniture and Car are different.

The correct Venn diagram is,

Hence, option 1 is the correct answer.

Famous and Obscure are antonyms.

Similarly, the antonym for Crazy is Sane.

‘Sane’ is related to the third term in the same way as the second term is related to the first term.

Hence, “sane” is the correct answer.

Arranging them according to the given information,

1. P is sitting at one extreme end.

2. P is sitting second to the right of T.

3. O is sitting between R and T.

Case 1: Facing North

Case 2: Facing South

4. Q is sitting to the immediate left of S.

5. U is not sitting at any extreme end.

Case 1: Facing North

Case 2: Facing South

U is sitting between P and T.

Hence, “U” is the correct answer.

 

Logic: In all options sum of position value of all letters is 21 except option 4

 

Hence, “CHI” is the correct option.

The correct answer is Cetaceans.

Important Points 

• Cetaceans are any member of an entirely aquatic group of mammals commonly known as whales, dolphins, and porpoises.
• It is commonly grouped with the fishes.
• It is distributed in all the world’s oceans from the far polar reaches to the Equator.
• Cetaceans have all features of mammals like breathe air, give birth to live young, produce milk, and have hair.
• Cetaceans use up to 80 percent of their lung volume in a single breath.
• Like all mammals Cetaceans also have a four-chambered heart.
• They reproduce by internal fertilization.

​

Additional Information

• Amphibians are small vertebrates that can live in aquatic as well as terrestrial habitats.
• Common examples of amphibians are Bufo (Toad), Rana (Frog), Hyla (Tree frog), and Salamandra (Salamander).
• The odontocetes are also called as toothed whales.
• Odontocetes are a parvorder of cetaceans that includes dolphins, river dolphins, porpoises, pilot whales, beaked whales, and bottlenose whales,

The correct answer is Milad-un-nabi.

Key Points 

• Milad-un-nabi festival is celebrated to mark the birth anniversary of Prophet Muhammad.
• This day is celebrated in the month of Rabi’ al-awwal (Third month of the Islamic calendar).
• It is celebrated by Muslims all over the world.
• It was first celebrated as an official festival in Egypt.
• On this day the followers of Prophet Muhammad will discuss and celebrate the advent of the Prophet Muhammad's birth and his teachings.
• Prophet Muhammad was an Arab religious and political leader.​
• Muhammed was born in Mecca.
• He is considered the founder of Islam.

Additional Information

• Eid-ul-Fitr is celebrating every year to acknowledge Allah’s revelation of the Quran to the Prophet Muhammad.
• It is also known as the festival of breaking fast.
• Shab-e-Barat is celebrating to commemorates the entry of Muhammad into the city of Mecca.
• Eid al-Adha is known as the festival of sacrifice.

The correct answer is ​Lord Curzon.

Important Points

• Bengal was partitioned by the British viceroy Lord Curzon.
• Lord Curzon announced the partition of Bengal on 20^th July 1905.
• The partition came into effect on 16^th October 1905.
• At that time of partition, Bengal was the biggest province of British India that included Bihar and parts of Orissa.
• The British argued that the division was for administrative convenience.
• The partition of the Bengal is an example of the British policy of divide and rule.
• The main reason for the partition of Bengal was to destroy the political influence of the educated middle class among whom the Bengali intelligentsia was the most prominent.
• The swadeshi movement was started to protest against the partition of Bengal.
• Bengal partition was finally cancelled by Lord Hardinge in 1911.

Additional Information

• Lord Lytton was the viceroy who passed the vernacular press act in 1878.
• Lord Canning was the first viceroy and the last governor-general of India.
• Lord Dalhousie was the Governor-General of India who started the first railway line in India in 1853(connecting Bombay to Thane).

The correct answer is Mixed.

Important Points

• Mixed cropping refers to, growing two or more crops simultaneously on the same piece of land.
• Mixed cropping reduces risk and gives some insurance against the failure of one of the crops.
• In mixed cropping seeds of plants are mixed before sowing.
• Growing wheat and mustard or groundnut and sunflower on the same land at the same time is mixed cropping.
• One crop may be the main crop and the rest may be the subsidiaries in mixed cropping.
• Pest infestation of crops can be greatly reduced by mixed cropping.

Additional Information

• Inter-cropping refers to growing two or more crops simultaneously on the same field in a definite pattern.
• Inter-cropping is carried out by placing a few rows of one crop alternate with a few rows of a second crop.

The correct answer is Shah Jahan.

Important Points

• The Moti Masjid in Agra was built by Mughal ruler Shah Jahan.
• It is located in Agra in Uttar Pradesh.
• Shah Jahan constructed the Moti Masjid for his members of the royal court.
• Shah Jahan was the fifth Mughal emperor who reigned the dynasty from 1628 to 1658.
• The historical structures built during the reign of Shah Jahan are:
• Taj Mahal.
• Red Fort.
• Jama Masjid.
• Shalimar Garden in Lahore.
• French traveller Bernier and Tavernier visited India during the reign of Shah Jahan.
• The Afghan noble Khan Jahan Lodi rebelled and was defeated by Shah Jahan.
• Shah Jahan was imprisoned by his son Aurangzeb in 1658 in Agra.

Mistake Points

• The Moti Masjid inside the Red Fort complex in Delhi was built by the Mughal emperor Aurangzeb.
• The Moti Masjid in Lahore Fort was built by Mughal emperor Jahangir.

Additional Information

• The historical structures built during the reign of Akbar are:
• Agra Fort.
• Lahore Fort.
• Fathepur Sikri.
• Allahabad Fort.
• Buland Darwaza.
• Humayun fought two battles against Sher Shah at Chausa(1539) and Kannauj(1540).

Important Points

Mughals:

• The Mughals were descendants of two great lineages of rulers.
• From their mother’s side, they were descendants of Genghis Khan (died 1227), the Mongol ruler who ruled over parts of China and Central Asia.
• From their father’s side, they were the successors of Timur (died 1404), the ruler of Iran, Iraq and modern-day Turkey.
• However, the Mughals did not like to be called Mughal or Mongol. This was because Genghis Khan’s memory was associated with the massacre of innumerable people.
• It was also linked with the Uzbeks, their Mongol competitors.
• On the other hand, the Mughals were proud of their Timurid ancestry, not least of all because their great ancestor had captured Delhi in 1398.

The correct answer is Number of females per thousand males in the age group 0-6.

Important Points

• The child sex ratio is the number of females per thousand males in the age group 0-6.
• The age-specific sex ratios in India started to be computed in 1961.
• The child sex ratio in 2011 is decreased by 13 points.
• The child sex ratio of India is 919 in the census 2011.
• Haryana is the worst state with an incredibly low child sex ratio of 793.
• The highest child sex ratio of 972 is found in Arunachal Pradesh.
• The sex ratio is an important indicator of gender balance in the population.

Tax on soft beverages is NOT correct.

• The lack of a legal system available to consumers to protect them from exploitation in the marketplace leads to the formation of the consumer movement in India.
• The consumer movement was organized in India form the 1960s.
• The movement encourages consumers to stand up for their rights and lead to an overwhelming number of disputes in consumer courts.

Important Points

• Factors that gave rise to the consumer movement in India are:
• Rampant food shortages.
• Hoarding and Black Marketing.
• Adulteration of food and edible oil.

Additional Information

• The consumer movement in India was a passage to the consumer protection act in India in 1986.
• National Consumer Day is observed every year on December 24 to spread awareness to about consumer importance, their rights, and responsibilities.
• Consumer protection act 1986 is popularly known as COPRA.
• United Nations adopted the UN guidelines for consumer protection in 1985.

The correct answer is 1919, Mahatma Gandhi.

Important Points 

• Rowlatt Satyagraha was a nationwide satyagraha against the proposed Rowlatt Act (1919).
• It was launched by Mahatma Gandhi in 1919.
• Rowlatt satyagraha made Gandhiji a truly national leader.
• The Rowlatt Act empowered the British government to arrest any person without reason and imprison without trial.
• The official name of the Rowlatt act was "anarchical and revolutionary crimes act".
• Rowlatt act was passed on 6^th February 1919.
• Gandhiji called Rowlatt Act as "black act".
• Mahatma Gandhi decided to fight against the Rowlatt Act and he gave a call for satyagraha on 6^th April 1919.
• Lord Chelmsford was the British viceroy who gave the consent to the Rowlatt act.

The correct answer is Lactobacillus acidophilus.

• Lactobacillus is the non-spore-forming bacteria of the family Lactobacillaceae.
• Lactobacillus bacteria have the ability to produce lactic acid as a by-product of glucose metabolism.
• Curd is formed with the help of Lactobacillus acidophilus bacteria.
• Lactobacillus bacteria are commercially used during the production of sour milks,  yogurt and cheeses.
• These bacterias can survive in both aerobic and anaerobic environments.
• Lactobacillus acidophilus is being used by many yogurt manufacturers by adding to their bacterial cultures.
• Bifidobacteria are a group of bacteria called probiotics that normally live in your intestines and stomach and helps for digestion and staving off harmful bacteria.
• Lactic acid is the acid present in the milk.
• Bacillus coagulans is a lactic acid-forming bacterial species that was first isolated and described by B.W. Hammer in 1915.

The correct answer is Odisha.

• Odisha is the largest bauxite producing state in India.
• Odisha consists of more than 50% of India's resources of bauxite.
• Bauxite is an ore of aluminum.
• Bauxite deposits are formed by the decomposition of a wide variety of rocks that consists of aluminium silicates.
• Major bauxite producing areas are Odisha, Jharkhand, Chhattisgarh, Madhya Pradesh, Gujarat, Maharashtra, and Tamil Nadu
• Bauxite is mainly used to produce alumina through the Bayer process.
• Important bauxite mines in India are:
• Bilaspur & Maikal Hills.
• Singhbhum.
• Jamnagar.
• Balangir.
• Bargarh.
• Koraput.
• Kalahandi.
• Sambalpur.
• Sundergarh.

Additional Information

The correct answer is Barter system.

Important Points 

• The barter system is a trade in which goods are exchanged between the buyer and seller without the use of real money.
• ‘Double coincidence of wants is a feature of the barter system.
• Double coincidence of wants occurs when two people have goods and they are both happy to swap in exchange.
• People have to swap their goods in the barter system.
• The double coincidence of wants is the foundation of a bartering economy.
• Lack of double coincidence of wants is a major issue in the barter system.
• It is difficult to carry forward one’s wealth under the barter system.
• Wealth can not be stored in the form of money for future use in the barter system.
• The barter system is considered as the oldest form of commerce.

​

Additional Information

• Liquidity is the measure of the cash and other assets that have available to quickly pay bills.
• Forex Rate(also called foreign exchange rate) is the price of one currency in terms of another.

The correct answer is Somdev Devvarman.

Important Points 

• Somdev Devvarman is a former professional tennis player in India.
• He was honoured with the Padma Shri award in 2018.
• He was appointed as the national observer for tennis in 2017 by the ministry of youth affairs and sports.
• He was honoured with the Arjuna award for his contributions to the tennis game in 2011.
• He retired from professional tennis in 2017.

Additional Information 

• Sania Mirza is a professional tennis player in India.
• She is the brand ambassador for the Indian state of Telangana.
• She was honoured with the Padma Shri award in 2006.
• Ace Against Odds is the autobiography of Sania Mirza.
• Yuki Bhambri is a professional tennis player in India.
• He is the first Indian tennis player to win the junior Australian Open title.
• Leander Paes is a professional tennis player in India.
• He was honoured with the Padma Shri award in 2001.
• He is the sports ambassador of the Haryana state.

The correct answer is Pataliputra.

Important Points

• Mauryan empire lasted from about 321 to 185 BCE.
• Pataliputra was the capital of the Mauryan empire.
• The area around Pataliputra was under the direct control of the emperor.
• There were five major political centres in the Mauryan empire including the capital Pataliputra and the provincial centres of Taxila, Ujjayini, Tosali, and Suvarnagiri.

Key Points

• The third Buddist council was held at Pataliputra.
• Kautilya's Artha-shastra was the most important literary source for the Maurya's.
• Chandragupta Maurya is the founder of the Mauryan dynasty.
• Ashoka was the most famous Mauryan ruler and he was the first ruler who tried to take his message to the people through inscriptions.
• Mauryan empire started declining due to the invasions, defections by southern princes after the death of Ashoka.

Additional Information

• Vaishali was the capital of Vrijji mahajanapada.
• Indraprastha was the capital of the Pandavas.
• Kushinagar was the capital of the Malla Republic.

The correct answer is Foodpanda.

Important Points 

• Ola acquires the Foodpanda India business in 2017.
• Foodpanda was Ola’s second attempt at food delivery after the Ola Cafe in 2015
• Ola has suspended the Foodpanda India's food delivery business in 2019.
• Foodpanda is an online food delivery marketplace owned by a Berlin-based company.
• It was founded in 2012.
• Foodpanda's business in India was acquired by Ola on 29 December 2017.
• Ola suspended Foodpanda India in 2019 and fired most of its 1,500 food delivery executives.
• Ola is an Indian cab-aggregator offering services that include vehicles for hire and food delivery.
• It was founded in 2010 by Indian entrepreneur Bhavish Aggarwal.

Additional Information 

• ​Swiggy, Zomato, and Uber eats are the leading online food ordering and delivery platforms in India.

The correct answer is Police.

• Among the options, only Police is a subject of the state list.

​ 

• State List contains subjects of State and local importance.
• The state legislature has the exclusive power to make laws with respect to any of the subjects in the state list.
• Important subjects covered by the state list are:
• Police.
• Prison.
• Trade and Commerce.
• Agriculture and irrigation.
• Fisheries.
• Local government.
• Livestock and Animal Husbandry.
• Public Health.

 

• Important subjects covered by the union list are:
• Defence of the country.
• Foreign affairs.
• Banking.
• Communications.
• Currency.
• Railways.
• Important subjects covered by the concurrent list are:
• Forests.
• Education.
• Electricity.
• Marriage and divorce.
• Trade Unions.

The correct answer is Roger Federer.

Important Points

• Roger Federer is a professional tennis player from Switzerland.
• Roger Federer won his first Stuttgart Open men’s singles title in June 2018.
• He won the tournament, defeating Canadian tennis player Milos Raonic.
• It was his 98^th tour-level title in his career.
• He is the second male tennis player(singles) after American Jimmy Connors to claim 100 ATP titles.
• The Stuttgart open is an ATP world tour 250 series tennis tournament.
• This tournament is ​currently sponsored by Mercedes Benz and called the MercedesCup.
• Italian tennis player Matteo Berrettini wins the Stuttgart Open men’s singles title in 2019.

Additional Information

• Dominic Thiem is a professional tennis player from Austria.
• Nicolas Mahut is a French professional tennis player.

The correct answer is India.

Key Points

• Federalism is a system of government in which the power is divided between a central body and different constituent units of the country.
• There are mainly two kinds of routes through which federations have been formed.

1. Holding together federations.
2. Coming together federations.

• In holding together federations a large country is dividing its power between the constituent states and the national government.
• India is an example of ‘holding together federation’
• Countries like Spain and Belgium are the other examples of holding together federations.
• The central government tends to be more powerful in holding together federations.
• In coming together federations independent States coming together on their own to form a bigger unit, so that by pooling sovereignty and retaining identity they can increase their security.
• Countries like the USA, Switzerland, and Australia are examples of coming together’ federations.

The correct answer is 1998.

• The National Sports Development Fund (NSDF) was established by the central government in the year 1998.
• It was established under the charitable endowments act of 1890.
• It was established to impart momentum and flexibility in assisting the cause of sports.
• The national sports development fund provides financial assistance for the development of infrastructure and other activities for the promotion of sports in India.
• The fund is managed by a council constituted by the central government, the union youth affairs and sports minister as its chairperson.
• The council has the power to decide all policy matters relating to the fund.
• The key objectives of the national sports development fund are:
• To construct and maintain infrastructure for the promotion of sports and games.
• To supply sports equipments to various organizations and individuals for the promotion of sports and games.
• To identify problems and take up proper actions for providing support to excellence in sports.
• To promote international cooperation, in particular, exchanges that promote the development of sports.

The correct answer is Narendra Modi.

Important Points​ 

• Exam Warriors is a book authored by Narendra Modi.
• The book is a compilation of the Prime Minister’s advice to students on cracking exam stress in his monthly radio programme, Mann ki Baat.
• The book was released by former external affairs minister Sushma Swaraj.
• Narendra Modi is the current prime minister of India.
• He is the first Indian prime minister to born in independent India.
• He is the 15^th person to become the prime minister of India.
• He is the second prime minister to visit the Siachin glacier.
• Notable works of Narendra Modi are:
• Convenient Action: Continuity for Change.
• Social Harmony.
• Jyotipunj.
• Abode of Love.
• India's Singapore Story.

​ 

• | Author | Books | | --- | --- | | Manmohan Singh | - Biological Drug Products: Development and Strategies - Collateral and Financial Plumbing 2^nd Impression - India's Economic Reforms and Development; Essays for Manmohan Singh - Changing India - Demonetisation: The Economists Speak | | Arun Jaitley | - A NEW INDIA: Selected Writings 2014–19 - Articles and Speeches by Arun Jaitley A Compilation - Andhere se Ujale ki Ore |

The correct answer is Agenda 21.

• Agenda 21 was the declaration signed at UNCED 1992 in Rio De Janeiro, Brazil.
• Agenda 21 is a comprehensive plan of action recommended by the UN summit to be taken globally, nationally, and locally by organizations of the United Nations System, Governments, and Major Groups in every area in which human impacts environment.
• Agenda 21 signed with an aim to achieve global sustainable development.
• It was adopted by more than 178 governments at the United Nations Conference on Environment and Development in 1992.
• Agenda 21 is divided into 40 chapters that have been grouped into 4 sections and 351-page.

The correct answer is Kerala.

Important Points 

• Kalaripayattu is the martial art form prevalent in the Indian state of Kerala.
• The word meaning of Kalaripayattu is “art of the battlefield".
• It is believed to be Lord Vishnu is the founder of martial arts in India.
• Kalaripayattu is considered as the oldest form of martial arts in India.
• Kalaripayattu was used as a code of combat by the dynasties in South India.
• Kalaripayattu is considered the most scientific type of martial art form in the world.

Additional Information

• Other important art forms in Kerala are:
• Kathakali.
• Mohiniyattam.
• Chakyar Koothu.
• Theyyam.
• Ottamthullal.
• Important art forms in Tamil Nadu are:
• Kolattam.
• Bharatanatyam.
• Bommalattam.
• Chakkai Attam.
• Devaraattam.
• Therukoothu.
• Important art forms in Karnataka are:
• Yakshagana.
• Somana Kunita.
• Jagghalige Kunita.
• Krishna Parijata.
• Odissi is an Important art form in Odisha.

The correct answer is Rice, cotton.

• India has three cropping seasons namely;

1. Rabi.
2. Kharif.
3. Zaid.

Key Points

• Kharif crops are grown in June-July and are harvested in September-October.
• Among the options, Rice and cotton are examples of Kharif crops.
• Other Important crops grown during this season are:
• Paddy.
• Maize.
• Jowar.
• Bajra,
• Moong.
• Urad.
• Jute.
• Groundnut.
• Soyabean.

Additional Information

• Rabi crops are sown in the winter season from October to December and harvested in the summer season from April to June.
• Wheat, Barley, Peas, Gram, and Mustard-produced during Rabi.
• Zaid season is a short season In between the Rabi and the Kharif seasons.
• Cucumber, watermelon produced during Zaid.

The correct answer is HelpUsGreen.

Important Points 

• Indian social enterprise HelpUsGreen was recently honoured by the UN for its efforts in cleaning the Ganga river.
• HelpUsGreen was honoured with the United Nations momentum of change award 2018.
• The company recycles the floral waste at temples into a suitable for Thermocol.
• HelpUsGreen is the world’s first lean solution to the monumental temple-waste problem.
• HelpUsGreen startup was founded in 2015.
• It was founded by Ankit Agarwal and Karan Rastogi.
• The company upcycles more than 2.4 tonnes of floral waste collected daily from temples and mosques in Uttar Pradesh.
• HelpUsGreen plans to expand to Bangladesh and Nepal, providing livelihood to more than 5000 women by 2021.

Additional Information 

• The worldwide fund for nature(old name was world wide fund) is an international non-governmental organization that works for wilderness preservation and the reduction of human impact on the environment.
• Satpuda Foundation is a non-profit NGO working to save wildlife and forests across central India.
• Navdanya is an earth-centric, women-centric, and farmer-led movement for the protection of biological and cultural diversity of earth.

The correct answer is ​0 to 14.

Important Points

• The pH scale is the scale used to express the acidity or alkalinity of a substance based on the concentration of hydrogen ions in its solution.
• pH scale was discovered by Soren Sorensen.
• The range of pH scale 0 to 14.
• If pH < 7 then solution is acidic.
• If pH > 7 then solution is basic.
• If pH = 7 then solution is neutral.

Additional Information

• pH means the potential of Hydrogen.
• The strength of acids and bases depends on the number of H⁺ ions and OH^- ions produced, respectively.
• The human body works within the pH range of 7.0 to 7.8.
• When the pH of rainwater is less than 5.6, it is called acid rain.
• Tooth decay starts when the pH of the mouth is lower than 5.5.

The correct answer is Ganges River Dolphin.

Important Points

• Ganges River Dolphin is the national aquatic animal of India.
• It represents the health of the rivers, particularly the Ganga.
• The Union government declared River Dolphin as the national aquatic animal to save dolphins from extinction.
• The ministry of environment and forests notified the Ganges River Dolphin as the National Aquatic Animal in 2010.
• The Ganges river dolphin was officially discovered in the year 1801.
• The Ganges river dolphin can only live in freshwater.

Additional Information

• Tiger is the national animal of India.
• Peacock is the national bird of India.
• Lotus is the national flower of India.
• Mango is the national fruit of India.
• Banyan tree is the national tree of India.
• River Ganges is the national river of India.

Mean proportion

⇒ 0.7 : x ∷ x : 2.8

⇒ x² = 0.7 × 2.8 = 1.96

⇒ x = √1.96 = 1.4

Third proportional

⇒ 2.5 : 3.5 ∷ 3.5 : x

⇒ x = (3.5 × 3.5)/2.5

⇒ x = 4.9

According to question:

Ratio of mean propotional and third proportional = (1.4)/ (4.9) = 2/7

∴ The required ratio of the mean proportional and third proportional = 2 : 7.

Total number of students in city A = 54

⇒ Total number of students in city B = 126

⇒ Total number of students in city C = 84

⇒ Total number of students in city D = 96

⇒ Total number of students in city E = 132

Ratio of students Passed and Failed in city A = 5 : 4 

⇒ Ratio of students Passed and Failed in city B = 4 : 3 

⇒ Ratio of students Passed and Failed in city C = 10 : 11

⇒ Ratio of students Passed and Failed in city D = 9 : 7

⇒ Ratio of students Passed and Failed in city E = 6 : 5 

Total number of students who appeared in examination from cities C and D = 84 + 96 =180

Total number of students who failed in cities A, B and E =

Number of students who failed in A = (4/9) × 54 = 24

Number of students who failed in B = (3/7) × 126 = 54

Number of students who failed in E = (5/11) × 132 =60

⇒ (24 + 54 + 60) = 138

The total number of students who appeared in the examination from cities C and D more than Total number of students who failed in cities A, B and E = 180 – 138 = 42

⇒ (42/138) × 100 = 30.43%

∴ the required percentage = 30.43%

Given:

Surbhi can do a piece of work in 24days

Surbhi after completed (3/8)th work and then left

The remaining work is completed by Amit in 10 days

Calculation:

Let the total work be x units

Efficiency of Surbhi = x/24 = x/24 units/day

According to question:

(3/8) × x = 3x/8 units

Surbhi after doing 3x/8 units left the work

Remaining work = x – (3x/8) = 5x/8 units

Amit done the remaining work in 10 days

Efficiency of Amit = (5x/8) ÷ 10 = x/16 units/day

125% of the work = (125/100) × x = 5x/4 units

Efficiency of surbhi and amit = (x/24) + (x/16) = 5x/48 units/day

Time taken to complete 5x/4 work = (5x/4) ÷ (5x/48) days

⇒ 12 days

∴ Time taken to complete the 125% of the work together is 12 days

Alternate Method

Calculation:

Let the total work be 72 units

Efficiency of Surbhi = 72 / 24 = 3units/day

According to question:

(3/8) × 72 = 27units

Surbhi after doing 27units left the work

Remaining work = 72 – 27 = 45units

Amit done the remaining work in 10days

the efficiency of Amit = 45/10 = 4.5units/day

125% of the work = (125/100) × 72 = 90units

Efficiency of Surbhi and Amit = (3 + 4.5) = 7.5units/day

Time taken by Amit and Surbhi working together to complete 125% work = 90/7.5 days

⇒ 12 days

∴ The time taken to complete 125% of the work together is 12 days

Given:

Average of 17numbers is 29

The average of first 9 number = 31

The average of last 9 number = 27

Formula used:

Average = sum of all the numbers ÷ total number

Calculation:

Average of 17 numbers

Sum of all the all the number = 17 × 29 = 493

According to question:

Sum of first 9 numbers = 9 × 31 = 279

Sum of last 9 numbers = 9 × 27 = 243

9^th number is calculated twice = (279 + 243) – 493 = 29

If 9^th number is excluded = 493 – 29 = 464

Average of 16 numbers = 464 / 16 = 29

∴ The required average = 29

Anu sells an article at a profit of 25%

If she brought at 25% less

And sold it for Rs.30.25 less than the gain percentage = 30%

Calculation:

Let the cost price of an article be 100x

According to the question;

An article is sold at a profit of 25%

Then the selling price = 125x

According to the question;

If the article is purchased at 25% less

Then the cost price = 100 – (25/100) = 75x

And then sold it for Rs.30.25 less

Selling price = 125x – 30.25      ......(1)

Also, at a profit of 30%,

Selling price = 75x × (130/100)

Selling price = 3x × 130/4

Selling price = 97.5x      ......(2)

Thus, from eq (1) and (2),

⇒ 125x – 30.25 = 97.5x

⇒ 125x – 97.5x = 30.25 

⇒ 27.5x = 30.25

⇒ x =30.25/27.5

⇒ x = 1.1

Original cost price = 1.1 × 100 = 110

∴ The original price of the article is Rs.110.

Shortcut Trick

Total parts in A = 4 + 5 = 9. Total parts in B = 7 + 11 = 18.

Equalize totals: A × 2 (Spirit 8, Water 10) and B × 1 (Spirit 7, Water 11).

Multiply by mixing ratio 2 : 5 → A × 2 : (16, 20) and B × 5 : (35, 55).

Resulting Spirit = 16 + 35 = 51. Resulting Water = 20 + 55 = 75.

Ratio = 51 : 75 = 17 : 25.

∴ The correct answer is 17 : 25.

Alternate Method

Given:

Ratio of Spirit and Water in Vessel A = 4 : 5

Ratio of Spirit and Water in Vessel B = 7 : 11

Mixing Ratio of A and B = 2 : 5

Calculations:

⇒ Quantity of Spirit in A = 4/9 and Water in A = 5/9

⇒ Quantity of Spirit in B = 7/18 and Water in B = 11/18

⇒ Total Spirit in mixture = (2 × 4/9) + (5 × 7/18)

⇒ Total Spirit = 8/9 + 35/18 = (16 + 35)/18 = 51/18

⇒ Total Water in mixture = (2 × 5/9) + (5 × 11/18)

⇒ Total Water = 10/9 + 55/18 = (20 + 55)/18 = 75/18

⇒ Required Ratio = (51/18) : (75/18) = 51 : 75

⇒ Simplified Ratio = 17 : 25

∴ The correct answer is 17 : 25.

Additional Information

Alligation Rule

It is used to find the ratio in which two ingredients at given prices/concentrations must be mixed to produce a mixture of a desired price/concentration.

Replacement Formula

Final Quantity = Initial Quantity × (1 − x/V)ⁿ, where x is quantity replaced, V is total volume, and n is number of operations.

Weighted Average

When mixing two quantities Q₁ and Q₂ with concentrations C₁ and C₂, the final concentration C = (Q₁C₁ + Q₂C₂) / (Q₁ + Q₂).

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

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket –

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is:

$[\frac{2}{3}\div\frac{8}{15} of \frac{2}{5} + \frac{2}{5} of 7\frac{1}{2}\div\frac{3}{4}] of \frac{4}{19}$

Calculation:

⇒ (8/15)× (2/5) + (2/5)× (15/2)

⇒ {(2/3) × (75/16) + 4} of (4/19)

⇒ {(150/48) + 4} of (4/19)

⇒ {342/48} × {4/19}

⇒ 3/2

∴ the required answer = 3/2

Given:

Total number of students in city A = 54

⇒ Total number of students in city B = 126

⇒ Total number of students in city C = 84

⇒ Total number of students in city D = 96

⇒ Total number of students in city E = 132

Ratio of students Passed and Failed in city A = 5 : 4 = 5 + 4 = 9

⇒ Ratio of students Passed and Failed in city B = 4 : 3 = 4 + 3 = 7

⇒ Ratio of students Passed and Failed in city C = 10 : 11 = 10 + 11 = 21

⇒ Ratio of students Passed and Failed in city D = 9 : 7 = 9 + 7 = 16

⇒ Ratio of students Passed and Failed in city E = 6 : 5 = 6 + 5 = 11

Percentage of passed students in city A = (5/9) × 100 = 55.55%

Percentage of passed students in city B = (4/7) × 100 = 57.14%

Percentage of passed students in city C = (10/21) × 100 = 47.61%

Percentage of passed students in city D = (9/16) × 100 = 56.25%

Percentage of passed students in city E = (6/11) × 100 = 54.54%

∴ in city C the percentage of passed students in less than 50%

Given:

Two pipes X and Y can fill the tank in “t” min

X alone takes = (t + 6)min

Y alone takes = (t + 54)min

Calculation:

Let the total volume of the tank be xunits

X’s efficiency = [x/(t+6)] units/min

Time taken by both pipes X and Y to fill the tank = [{x/(t+6)} + {x/(t+54)}] × t = x

⇒ (2t + 60) t = (t + 6) (t + 54)

⇒ 2t² + 60t = t² + 60t + 324

⇒ t² = 324

⇒ t = √324 = 18

∴ time taken by X and Y together to fill the tank = 18mins

Formula Used:

Mean = Sum of numbers/Number of Numbers

Median (for even numbers) = (Sum of middle 2 numbers)/2

Calculation:

Mean of the given data

⇒ (66 + 59 + 68 + 65 + 62 + 59 + 58 + 56 + 63 + 65)/ 10 = 621/10 = 62.1

Arrange the data in ascending order =

56, 58, 59, 59, 62, 63, 65, 65, 66, 68

Median of the given data = (62 + 63) /2 = 62.5

According to question

Difference between the median and mean of the data = 62.5 – 62.1 = 0.4

∴ The required difference between median and mean is 0.4

Given:

Profit% = 17%

Discount% = 10%

Concept:

Marked price – discount = Selling Price

Cost Price + profit = Selling Price

Formula used:

Profit% = {(Profit)/Cost Price} × 100

Calculation:

Marked Price × (discount%) = Cost Price × (profit%)

⇒ Marked Price × (90/100) = Cost Price × (117/100)

⇒ Marked Price/ Cost Price = 117/90

⇒ Marked Price / Cost Price = 13/10

Profit = Selling Price – Cost Price

Selling Price = Marked price × (discount%)

⇒ Selling Price = 13 × (14/100) = 11.18

Profit = 11.18 – 10 = 1.18

⇒ Profit% = (1.18/10) × 100 = 11.18%

∴ the required profit% = 11.18%

Given:

Price of oil is increased by 20%

Expenditure of oil is increased by 15%

Concept:

Expenditure = Price of the product × consumption of the product

20% = 1/5

15% = 3/20

Calculation:

C1 = 4

C2 = 23/6

C1 - C2= 4 – (23/6)

⇒ C1 - C2 = (24 – 23) / 6

⇒ C1 - C2 = 1/6

∴ Reduction in consumption of oil = [(1/6)/4] × 100 = 25/6% = 4(1/6)%

Alternate Method

Let initially oil is consumed 100lt at 100Rs/lt.

Initial expenditure = 100 × 100 = 10000

Now, new price = 120% of 100 = 120rs

And, New expenditure = 115% of 10000 = 11500

Hence, new consumption = 11500/120 = 575/6 lt

∴ Required percentage = [{(575/6) - 100}/100] × 100 = -25/6% = -4(1/6)%      (negative sign shows decrement)

Calculation:

LCM of 12, 15, 18, 20, 27 = 540

According to question:

Least number which when divided by 12, 15, 18, 20, 27 the remainder in each case is 2

Let the number be x,

x is divisible by 23,

by hit and trial method, we get n = 4 and x = 2160

⇒ 2162 is divided by (2 + 1 + 6 + 2) = 11,

⇒ quotient = 2162 = (11 × 196) + 6 = 196

∴ the required number = 196

Alternate Method

LCM of  12, 15, 18, 20, 27 = 540 

So, the required number x will be in the form of (540m + 2), where m is a natural number

Now according to question, the number x is divisible by 23

Now we can check one by one by putting m = 1, 2, 3, 4......... which will be the smallest number divisible by 23

taking m = 1 

we get 542 which is not divisible by 23

taking m = 2 

we get 1082 which is also not divisible by 23 

taking m = 3 

we get 1622 which is also not divisible by 23

taking m = 4 

we get 2162 which is divisible by 23.

⇒ 2162 is divided by (2 + 1 + 6 + 2) = 11,

⇒ quotient = 2162 = (11 × 196) + 6 = 196

∴ the required number = 196

Given:

Length of train A = 186m

Length of train B = 200m

Speed of train A = 64km/hr = 64 × (5/18) = (160/9)m/sec

Speed of train B = 80km/hr = 80 × (5/18) = (200/9)m/sec

Concept:

When the two trains are running opposite to each other then the speed of both trains are added

When a person sitting in a train crosses another train, the length of the train that crosses the train in which one person is sitting is taken as the distance

Formula used:

Distance = speed × time

Calculation:

Relative speed when both the trains are running towards each other = (200/9) + (160/9) = 360/9 = 40m/sec

Distance = 200m

Time = 200/ 40 = 5sec

∴ the time taken to cross the man who is sitting in train A = 5 sec

Given:

Total number of students in city A = 54

Total number of students in city B = 126

Total number of students in city C = 84

Total number of students in city D = 96

Total number of students in city E = 132

Ratio of students Passed and Failed in city A = 5 : 4

Ratio of students Passed and Failed in city B = 4 : 3

Ratio of students Passed and Failed in city C = 10 : 11 

Ratio of students Passed and Failed in city D = 9 : 7

Calculation:

Number of students passed in A = (5/9) × 54 = 30

Number of students passed in D = (9/16) × 96 = 54

Total number of students passed in A and D = (30 + 54) = 84

Number of students who failed in B = (3/7) × 126 = 54

Number of students who failed in E = (5/11) × 132 =60

Total number of students failed in B and E = (54 + 60) = 114

Ratio of Total number of students passed in A and D and Total number of students failed in B and E = 84 : 114 = 14 : 19

∴The required ratio = 14 : 19

 

The ratio = (5/9 × 54 + 9/16 × 96) : (3/7 × 126 + 5/11 × 132) = 14 : 19

∴The required ratio = 14 : 19

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

 the 

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket –

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

Given expression is:

(0.2 ÷ 0.2 of 0.1 − 0.03 ÷ 0.6 of 0.01) ÷ (0 .25 × 0.75 ÷ 1.25 of 0.4 + 0.125)

Calculation:

⇒ (0.2 ÷ 0.02 – 0.03 ÷ 0.006) ÷ (0.25 × 0.75 ÷ 0.5 + 0.125)

⇒ (10 – 5) ÷ (0.25 × 1.5 + 0.125)

⇒ 5 ÷ (0.375 + 0.125)

⇒ 5 ÷ (0.5)

⇒ 10

∴ the required number = 10

∴ the number lies between 9.5 to 10.5

Given:

The surface area of a cuboidal box is 240 cm2 and the length of its diagonal is 11 cm.

Formula used:

Diagonal of cuboid = √(l² + b² + h²)

Surface area of cuboid = 2(lb + bh + hl)

Calculation:

Let the length of the cuboid be l

Let the breath of the cuboid be b

Let the height of the cuboid be h

According to question:

Diagonal of cuboid = √(l² + b² + h²)

 ⇒ l² + b² + h² = 121 -----(i)

Surface area of cuboid = 2(lb + bh + hl) = 240 ----(ii)

Sum of length, breath and height = (l + b + h)² = (l² + b² + h²) + 2(lb + bh + hl)

Substituting values

⇒ (l + b + h)² = 121 + 240 = 361

⇒ (l + b + h) = √361 = 19cm

∴ The required sum is 19cm.

Given:

Amount = Rs.9243.20

Time = 1.5years

Rate% = 4% p.a.

Formula used:

Simple Interest = (Principal × time × rate) / 100

Calculation:

Let the principal be x

⇒ simple interest = (x × 1.5 × 4)/100

⇒ simple interest = 6x/100

Amount = Principal + simple interest

According to question:

9243.20 = x + (6x/100)

⇒ 9243.20 = 106x/100

⇒ x = (9243.20 × 100)/106 = 8720

∴ the principal = Rs.8720

According to question:

Simple interest = (8720 × 7.5 × 8) /100

⇒ 523200 / 100 = Rs.5232

∴ the Simple Interest = Rs.5232

2Given:

Principal = Rs.12000

Rate% = 12%p.a.

Time = 2years

Compound interest is compounded 8-monthly.

Calculation:

Total months in 2years = 24 months

There are (24/8) = 3 cycles of 8months in 2 years

Interest = 12% for 12 months

Interest for 1 month = 1%

Interest for 8 months = 8%

Effective rate percentage after 2 years when the sum is compounded 8monthly

⇒ {8 + 8 + (8× 8)/100} = 16.64%

⇒ {16.64 + 8 + (16.64 × 8)/100} = 25.97%

Compound interest after 2 years = 25.97% of 12000 = Rs. 3116.4

∴ The amount = 12000 + 3116.4 = Rs.15116.4 ≈ Rs. 15117

Principal = Rs.12000

The amount( the sum is compounded 8monthly = 12/8 = 1.5) = P{1 + 12/(1.5 × 100)}^{1.5 × 2}

⇒ 12000 × (1 + 2/25)³

⇒ 12000 × (27/25)3 = Rs.15116.4 ≈ Rs. 15117

∴ The amount is Rs. 15117

Given:

The radius of sphere = 3m

Radius of wire = 0.1m

Formula used

Volume of sphere = (4/3) π × (radius)³

Volume of cylinder (wire) = π × (radius)² × height

Calculation:

According to question;

The volume of sphere = The volume of cylindrical wire

Length of wire = [(4/3) π × (radius)³] / [π × (radius)²]

Length of wire = (4 × 3 × 3) / (0.01) = 3600 m = 3.6 km

∴ The length of wire = 3.6 km

Additional Information

When one metallic shape is melted and converted into other shapes, The material used in it is the same.

So, we take the volume is the same of both shapes.

Given:

A man can row down stream 9km in 2hrs

A man can row upstream 9km in 6hrs

Concept:

When the boat is rowing upstream speed of boat and the speed of stream is subtracted,

When the boat is rowing downstream speed of boat and speed of stream is added

Formula used:

Distance = speed × time

Calculation:

Let the speed of boat in still water be x

Let the speed of stream be y

According to question:

9km = (x + y) × 2

9km = (x – y) × 6

⇒ 2x + 2y = 9 -----(i)

⇒ 6x – 6y = 9 -----(ii)

Multiply by 3 equation(i)

⇒ 6x + 6y = 27 -----(i)

Solving equation(i) and equation(ii)

⇒ x = 3

Putting value of x  in eqation (i)

⇒ 6 × 3 + 6y = 27

⇒ 18 + 6y = 27

⇒ 6y = 9

⇒ y = 3/2 = 1.5

∴ the speed of stream = 1.5km/hr

Shortcut Trick

Area of rhombus = (1/2) × d₁ × d₂

Since side = 13 cm and half-diagonal = 5 cm, the other half-diagonal = √(13² − 5²) = 12 cm ⇒ d₂ = 24 cm.

Area of rhombus = (1/2) × 10 × 24 = 120 cm².

Area of equilateral triangle = 6√3 × 120 = 720√3 cm².

(√3/4) × a² = 720√3 ⇒ a² = 2880 ⇒ a = 24√5 cm.

∴ The correct answer is 24√5 cm.

Alternate Method

Given:

⇒ Side of the rhombus (s) = 13 cm

⇒ One diagonal of the rhombus (d₁) = 10 cm

⇒ Area of the equilateral triangle = 6√3 × Area of the rhombus

Formula Used:

⇒ In a rhombus, the diagonals bisect each other at right angles (90°): s² = (d₁/2)² + (d₂/2)²

⇒ Area of a rhombus = (1/2) × d₁ × d₂

⇒ Area of an equilateral triangle = (√3/4) × a², where a is the side length of the triangle.

Calculations:

Let the other diagonal of the rhombus be d₂.

Since the diagonals of a rhombus bisect each other at right angles:

⇒ (d₁/2)² + (d₂/2)² = s²

⇒ (10/2)² + (d₂/2)² = 13²

⇒ 5² + (d₂/2)² = 169

⇒ 25 + (d₂/2)² = 169

⇒ (d₂/2)² = 169 − 25 = 144

⇒ d₂/2 = √144 = 12 cm

⇒ d₂ = 24 cm

Now, calculate the area of the rhombus:

⇒ Area of rhombus = (1/2) × d₁ × d₂

⇒ Area of rhombus = (1/2) × 10 × 24 = 120 cm²

According to the question, the area of the equilateral triangle is 6√3 times the area of the rhombus:

⇒ Area of equilateral triangle = 6√3 × 120 = 720√3 cm²

Let the side of the equilateral triangle be a:

⇒ (√3/4) × a² = 720√3

⇒ a²/4 = 720

⇒ a² = 720 × 4 = 2880

⇒ a = √2880 = √(576 × 5) = 24√5 cm

Thus, the length of the side of the equilateral triangle is 24√5 cm.

Explanation of Options:

Option (1) 36√6: If the side of the triangle were 36√6 cm, its area would be (√3/4) × (36√6)² = (√3/4) × 7776 = 1944√3 cm², which is not equal to 720√3 cm².

Option (2) 24√6: If the side of the triangle were 24√6 cm, its area would be (√3/4) × (24√6)² = (√3/4) × 3456 = 864√3 cm², which is not equal to 720√3 cm².

Option (3) 24√5: This is the correct value as shown by the calculation above, yielding an area of exactly 720√3 cm².

Option (4) 12√6: If the side of the triangle were 12√6 cm, its area would be (√3/4) × (12√6)² = (√3/4) × 864 = 216√3 cm², which is not equal to 720√3 cm².

∴ The correct answer is 24√5 cm.

Additional Information

Properties of a Rhombus

All four sides of a rhombus are equal, opposite angles are equal, and the diagonals bisect each other at right angles (90°).

Area of a Rhombus

The area can be calculated using the formula Area = (1/2) × d₁ × d₂, where d₁ and d₂ are the lengths of the diagonals.

Equilateral Triangle Formulas

For an equilateral triangle of side length a, the Area = (√3/4) × a², and the Height = (√3/2) × a.

Given:

Average weight of number of students in a group = 54kg

12 students weight 52kg joined the group, the weight fall the students in the group decreases by 750gm

Formula Used:

Average = Sum of observation/Number of observation

Calculation:

Let the number of students initially = x

Sum = Average ×  Number of students

Total intial weight = 54xkg

Weight of new students = 12 × 52 = 624kg

The new average = 54 - 0.75 = 53.25 kg

⇒ New average = (54x + 624) / (x + 12) = 53.25

⇒ 54x + 624 = 53.25x + 639

⇒ 0.75x = 15

⇒ x = 20

∴ There is 20 students initially

Let cost price of the article be = Rs.100x and selling price of article = Rs.100y

When sold at 75% of the price, new selling price = Rs. 

Loss% = (100x - 75y)/100x × 100

⇒ 10 = (100x - 75y)/x

⇒ 90x = 75y

⇒ x/y = 75/90 = 5/6

So, x = 5, y = 6

CP = 500, SP = 600

Profit % = 600 - 500/500 × 100 = 20%

∴ Profit % is 20%

Calculation:

Let the price at which shopkeeper sell the article = 100

According to question:

If he sold at 75% of 100 he losses 10%

75% of 100 = 75

75 is 90% of the cost price

⇒ 90% = 75

⇒ 1% = 75/90

⇒ 100% = (75/90)× 100 = 250/3

Cost price = 250/3

As we assumed selling price = 100

Profit = 100 – (250/3) = 50/3

⇒ profit% = [(50/3) / (250/3] × 100 = [50/250] × 100 = 20%

∴ the required percentage = 20%

Given:

The ratio of ages of A and B 4 years ago = 5 : 7

The ratio of ages of A and B 4 years from now = 7 : 9

Calculation:

Let the constant be x

Age of A and B 4 years ago = 5x and 7x

According to question:

⇒ (5x + 8) / (7x + 8) = 7 / 9

⇒ 45x + 72 = 49x + 56

⇒ 4x = 16

⇒ x = 4

Present age of A and B =

Present age of A = 5 × 4 = 20 + 4 = 24

Present age of B = 7 × 4 = 28 + 4 = 32

A’s age after 12 years = 24 + 12 = 36

B’s age after 12 years = 32 + 12 = 44

Ratio of A’s age after 12 years : B’s age after 12 years = 9 : 11

The correct answer is "whereas she was".

Key Points

• In the given sentence, the conjunction 'and' used is incorrect also the words "arrogant and shy" are in contrast with each other.
• Let us explore the given options:
• As soon as means at the moment (that); when.
• So that means to show purpose or to give an explanation.
• And is used to connect words of the same part of speech, clauses, or sentences, that are to be taken jointly.
• Whereas means in contrast or comparison with the fact that.
• Hence, the correct answer is option 4.

Correct Sentence: They thought she was arrogant, whereas she was very shy.

• दिए गए वाक्य में, Conjunction ' and ' का प्रयोग गलत है , " arrogant और shy " शब्द एक दूसरे के साथ विपरीत हैं।
• आइए दिए गए विकल्पों का पता लगाएं :
• As soon as इसका मतलब जब
• So that का मतलब उद्देश्य दिखाना या स्पष्टीकरण देना है ।
• And भाषण के एक ही हिस्से, खंड, या वाक्यों के शब्दों को जोड़ने के लिए उपयोग किया जाता है, जिन्हें संयुक्त रूप से लिया जाना है।
• Whereas का अर्थ है कि इसके विपरीत या तुलना ।
• इसलिए , सही उत्तर विकल्प 4 है।

The correct answer is "and also".

Key Points

• In the given sentence, the conjunction 'and' used is incorrect. We know with "not only", we use "but also" in a sentence.
• "Not only" and "but also" are correlative conjunctions work in pairs to join words, phrases, or clauses.
• The construction "not only....but also" is called correlative conjunction. It is used to present two related pieces of information.
• Both pieces of information are being presented by the writer as surprising or unexpected, with the second one being even more surprising than the first.
• The first piece of information comes after not only, and the second piece of information comes after but also.
• Hence, the correct answer is option 1.

Correct Sentence: He not only got a scholarship but also a good job.

Additional Information

• Correlative conjunctions work in pairs to join words, phrases, or clauses. The correlative conjunctions are either...or, neither...nor, both...and, not only...but also, whether...or.

The correct answer is "to".

Key Points

• Let us explore the given options:
• The preposition 'against' means in opposition to.
• The preposition 'for' usually tells us about the use of something, a reason or purpose.
• The preposition 'with' means accompanied by another person or thing.
• The preposition 'to' is used for showing the purpose of an action
• Hence, the correct answer is option 4.

Complete Sentence: She did not reply to my Letter.

Additional Information

• A preposition is a word used to link nouns, pronouns, or phrases to other words within a sentence.

• They act to connect the people, objects, time and locations of a sentence.

• Prepositions are usually short words, and they are normally placed directly in front of nouns.

• आइए दिए गए विकल्पों का पता लगाएं :

• 'Against' preposition का मतलब 'विरोध में' है।

• 'For' preposition आमतौर पर हमें किसी चीज के उपयोग, किसी कारण या उद्देश्य के बारे में बताता है।

• प्रीपोज़िशन 'With' का अर्थ है किसी अन्य व्यक्ति या चीज़ के साथ।

• कार्रवाई के उद्देश्य को दिखाने के लिए 'to' का प्रयोग किया जाता है

• इसलिए , सही उत्तर विकल्प 4 है।

पूरा वाक्य: She did not reply to my Letter.

The correct answer is "Fulfil".

Key Points

• Let us explore the options:
• Fullfil does not have any meaning or incorrectly spelt as two 'l' before 'f' is used unnecessarily.
• Fullfill does not have any meaning or incorrectly spelt as two 'l' before 'f' and after 'i' is used unnecessarily.
• Fulfil means to achieve or realize something desired, promised, or predicted.
• Foolfil does not have any meaning or incorrectly spelt as two 'o' instead of one 'u' is used unnecessarily.
• Hence, the correctly spelt word is option 3.

The correct answer is "Monogamy".

Key Points

• Let us explore the given options:
• Monogamy means the practice of marrying or state of being married to one person at a time.
• Monotony means sameness of pitch or tone in a sound or utterance.
• Polygamy means the practice or custom of having more than one wife or husband at the same time.
• Bigamy means the offence of marrying someone while already married to another person.
• Hence, the correct answer is option 1.

The correct answer is "Defence".

Key Points  

• The word 'Attack' means an aggressive and violent act against a person or place.
• The antonyms of the word 'Attack' are "defence, guard, shield".
• From the antonym of the given word, we can say that the word 'Defence' is opposite in meaning.
• The word 'Defence' means the action of defending from or resisting attack.

Hence, the correct answer is option 1. Let's see the meaning of other given options-

 

Additional Information

• The synonyms of the word 'Attack' are "aggression, offence, assault".
• Example of 'Attack' in a sentence:
• At least 21 killed in Pakistani university attack; Taliban claims responsibility.

The correct answer is "Remembrance".

Key Points  

• Let us explore the options:
• Remembrance means memory or recollection.
• Remembranse does not have any meaning or incorrectly spelt as 's' is used instead of 'c'.
• Remembarence does not have any meaning or incorrectly spelt as 'a' is used unnecessarily.
• Rememberance does not have any meaning or incorrectly spelt as 'e' between 'b' and 'r' is used unnecessarily.
• Hence, the correctly spelt word is option 1.

The correct answer is "Same".

Key Points  

• The word 'Identical' means resembling another in every respect.
• The synonyms of the word 'Identical' are "same, duplicate, even, indistinguishable".
• From the synonym of the given word, we can say that the word 'Same' is the same in meaning.
• The word 'Same' means identical; not different.

Hence, the correct answer is option 2. Let's see the meaning of other given options-

 

Additional Information

• The antonyms of the word 'Identical' are "different, dissimilar, unlike".
• Example of 'Identical' in a sentence:
• They were wearing identical dresses by the designer.

The correct answer is "Happiness".

Key Points

• The word 'Glee' means great delight, especially from one's own good fortune or another's misfortune.
• The synonyms of the word 'Glee' are "happiness, merriness, cheerfulness".
• From the synonym of the given word, we can say that the word 'Happiness' is the same in meaning.
• The word 'Happiness' means the state of being happy.

Hence, the correct answer is option 1. Let's see the meaning of other given options-

 

Additional Information

• The antonyms of the word 'Glee' are "heartbreak, misery, mourning".
• Example of 'Glee' in a sentence:
• Her face lit up with mischievous glee.

The correct answer is "Transparent".

Key Points

• Let us explore the given options:

• Vague means not seen or understood clearly. (अस्पष्ट)

• Opaque means not able to be seen through; not transparent. (पारदर्शी नहीं)

• Foggy means not seen or understood clearly. (धूमिल)

• Transparent means (of a material or article) allowing light to pass through so that objects behind can be easily seen. (पारदर्शी)

• Hence, the correct answer is option 4.

The correct answer is "has been blamed".

Key Points

• In the given sentence, the subject of the sentence is composed of two nouns "The T.V. and the computer" but followed by a singular verb 'has'.
• When the subject of the sentence is composed of two or more nouns or pronouns connected by 'and', use a plural verb.
• Therefore, the plural form of the verb 'have' should be used instead of 'has'.
• Hence, the correct answer is option 2.

Correct Sentence: The T.V. and the computer have been blamed for reduced reading habits amongst children.

Additional Information

• Subjects and verbs must agree with one another in number (singular or plural). Thus, if a subject is singular, its verb must also be singular; if a subject is a plural, its verb must also be plural.

Hinglish

• दिए गए वाक्य में, वाक्य का विषय दो संज्ञाओं "The T.V. and the computer" से बना है, लेकिन इसके बाद एकवचन क्रिया 'has' है।
• जब वाक्य का विषय 'and' से जुड़े दो या दो से अधिक संज्ञा या सर्वनाम से बना हो, तो बहुवचन क्रिया का प्रयोग करें।
• इसलिए, क्रिया के बहुवचन रूप 'have' का प्रयोग 'has' के स्थान पर किया जाना चाहिए।
• अत: सही उत्तर विकल्प 2 है।

सही वाक्य: The T.V. and the computer have been blamed for reduced reading habits amongst children.

Additional Information

• विषय और क्रिया एक दूसरे के साथ संख्या (एकवचन या बहुवचन) में सहमत होना चाहिए। इस प्रकार, यदि कोई विषय एकवचन है, तो उसकी क्रिया भी एकवचन होनी चाहिए; यदि कोई विषय बहुवचन है, तो उसकी क्रिया भी बहुवचन होनी चाहिए।

The correct answer is "I am fastly".

Key Points

• The word 'fastly' used as an adverb in the given sentence is incorrect as 'fast' is the correct adverb.
• The adverb 'fast' means at high speed but is inappropriate to use in the sentence as per the context.
• The adverb 'very' which means in a high degree should be used to modify the adjective 'excited' means very enthusiastic and eager.
• Hence, the correct answer is option 4.

Correct Sentence: I am very excited and really looking forward to the trip.​

Additional Information

• An adverb is a word that modifies (describes) a verb, an adjective, another adverb, or even a whole sentence. Adverbs often end in -ly, but some (such as fast) look exactly the same as their adjective counterparts.

Hinglish

• दिए गए वाक्य में क्रिया विशेषण के रूप में प्रयुक्त 'fastly' शब्द गलत है क्योंकि 'fast' सही क्रिया विशेषण है।
• क्रिया विशेषण 'fast' का अर्थ तेज गति से लेकिन संदर्भ के अनुसार वाक्य में उपयोग करने के लिए अनुपयुक्त है।
• क्रिया विशेषण 'very' जिसका अर्थ है उच्च स्तर में विशेषण 'excited' को संशोधित करने के लिए उपयोग किया जाना चाहिए जिसका अर्थ है 'बहुत उत्साही और उत्सुक'।
• अतः सही उत्तर विकल्प 4 है।

सही वाक्य: I am very excited and really looking forward to the trip.​

Additional Information

• क्रिया विशेषण एक ऐसा शब्द है जो एक क्रिया, एक विशेषण, एक अन्य क्रिया विशेषण, या यहां तक ​​कि एक पूरे वाक्य को संशोधित (वर्णन) करता है। क्रियाविशेषण अक्सर -ly में समाप्त होते हैं, लेकिन कुछ (जैसे fast) उनके विशेषण समकक्षों के समान ही दिखते हैं।