DSSSB TGT Hindi (Female) 15 Sep 2018 Shift 3 (Previous Year Paper)

Given:

Total Salary = Salary + Tip

Assume, Salary = S

Then; Tip = $\dfrac{4}{3}\times S$

Total Salary = $\dfrac{4}{3}\times S\ + S$

= $\dfrac{7}{3}\times S$

Required Fraction = $\dfrac{Tip}{Total\ Salary}$

= $\dfrac{4S}{3}\times\dfrac{3}{7S}$

= $\dfrac{4}{7}$

Hence, option (1) is the correct answer.

Checking each figure one by one:

1. Option (1) is:

2. Option (2) rotates 90° Anti Clockwise.

→

3) Option (3) rotates 90° Clockwise.

→

4) Option (4) rotates 90° Anti-clockwise.

→

 

Option (1), (2), and (3) is the same except figure (4)

Hence, option (4) is the correct answer.

American Singers who are not Doctors means part of American and Singers not included Doctors i.e. 1.

Hence, "1" is the correct answer.

The logic followed is:

Option 1: Wing

Monkey don't have the wings.

Option 2: Heart

It is the most vital organ for the survival. It pumps the blood throughout the body. With hearth monkey cannot be alive.

Option 3: Horns

Monkey doesn't have the horns.

Option 4: Eggs

Monkey do not lays the egg.

Thus the monkey always have Heart.

Hence, the correct answer is "Heart".

The logic followed is:

In all the numbers except option (2), the first number is greater than the second. 

Option 1: 625 :: 325

First number > second number.

Option 2: 100 :: 140

First number < second number.

Option 3: 256 :: 136

First number > second number.

Option 4: 36 :: 21

First number > second number. 

Hence, the correct answer is "100 :: 140".

The given figure when unfolded is as follows:

→

Hence, option (4) is the correct answer.

Step 1: The figure is rotated 90° clockwise direction.

Similarly;

Step 2: The figure is rotated 90° clockwise direction.

So, the correct image is :

Hence, option (4) is the correct answer.

Age of Rakesh = 50 years

Age of Rajesh = 70 years

Assume x years ago the ratio = 1 : 2

Age of Rakesh x years ago = (50 - x) years

Age of Rajesh x years ago = (70 - x) years

Ratio of ages x years ago = 1 : 2

(50 - x) : (70 - X) = 1 : 2

⇒ 2 × (50 - x) = 1 × (70 - x)

⇒ 100 - 2x = 70 - x

⇒ 2x - x = 100 - 70

⇒ x = 30

So, 30 years ago the ratio of age of Rakesh and Rajesh = 1 : 2

Hence, "30 years" is the correct answer.

The embedded part of this image is:

Hence, Option (3) is the correct answer.

LOGIC:

In a row inside figures are 5, 3, and 1.

In Row 2:

Squares are 5, 3, and 1.

In Row 3:

Circles are 5, 3, and 1.

Similarly;

In Row 1:

Triangles are 5, 3, and 1.

So, next term is;

Hence, option (4) is the correct answer.

Total books published = 12,462

Percentage of history books have been published by XYZ in the year 2016-17 = 15%

History books = 15% of 12,462

= (15 × 12,462)/100

= 1869.3 = 1869 (approximately)

Hence, "1869" is the correct answer.

According to the English alphabet series and its positional value:

The logic follows here is:

Hence, "QL" is the correct answer.

LOGIC: The mirror image of the first image is jointed together.

The mirror image of trapezium:

After joining:

Similarly;

The mirror image of the pentagon:

After joining:

The correct image is;

Hence, option (3) is the correct answer.

Decoding the information, 

 

Given the equation: 18 + 32 - 4 × 6 ÷ 5

After replacing the signs from left to right and using the BODMAS rule,

18 × 32 ÷ 4 - 6 + 5.

= 18 × 8 - 6 + 5

= 144 - 6 + 5

= 149 - 6

= 143

Hence, the correct answer is "143".

Mistake Points

• In "144 - 6 + 5", 6 and 5 have different signs.
• So one must not add 6 and 5.
• In this case, we will rearrange the terms 5 and 6 as follows: 144 + 5 - 6
• Then we get 149 - 6 = 143.

Preparing the family tree using the following symbols:

A possible tree diagram will be:

The son of the only sister of Varun's father is the cousin of Vividha.

Hence, "cousin" is the correct answer.

The capital of Norway is Oslo, not Cairo.

Hence, "Norway : Cairo" is the correct answer.

All conditions are as follows;

Sandhya is satisfied 2 conditions only.

No other data is given,

Hence, option (4) is the correct answer.

The pattern followed here is:

[

](https://chat.google.com/u/0/api/get_attachment_url?url_type=DOWNLOAD_URL&attachment_token=AAUuIGuZD65Slka0chLgiBDbezjczztvO2DwEcQ7PSbedBTPtiRI6lKAtMuMkq%2Fm2bryW8rCv%2BfmFvK9qO7Ss76kD4mHoVUvyAkjEQOhzqiZx5Nm17R3ZSLSSAqH%2FzcuTIpOlvkLOutj%2F056X5jf3q0xsDOs85kBSKarFm%2BAmFA2l%2FuNKpXNrB5WM3dlQtky7B4R%2B8SfktGWvHnhqJtgoSZFJFKOS%2BY39oH3xkf5mRZwEh3PNJYzkt%2FihpzFg%2BzFoskFnnBFYiI1F%2FbMnogt9hwDByenX3fgZ5Ox2hgnjiNKSpChgmsPoZ%2BSQTyzaO44gj0dK476MxrNL2kACSfLH98B2yG6bFeGlW4RLvqWdWp6k%2BZUoDeC1cGqw50b0TaxDzOxU%2F%2BN94psE7WgE%2FiqCMCmsiUzQUSPsjG%2FH0xF%2BH%2BGH1ewVj%2BQROvovVwLTMvkcypYsvLeUSahbB3laXhioRxSmeXFHRb1AUujMGq9cI9onWGorg%3D%3D&content_type=image%2Fpng&auto=true)

Hence, "185" is the correct answer.

Fawn is the small kid of Deer.

Similarly;

Tadpole is the small kid of Frog.

Hence, "Frog" is the correct answer.

 

The correct answer is Option 2: Will announce to find the owner of the note.

 

• Qualities Projected in this situation:  (Sense of responsibility and determination).

Key Points

• Checklist for attempting SRT questions:

1. Read the question and options carefully.
2. Look for options that are realistic, optimistic, and reflect officer-like qualities.
3. Do not skip any situation.
4. Relegate the negative sentences and choose the most logical option among the remaining. As time is an important factor, hence your thinking ability should be swift.
5. React quickly and be logical.

The correct answer is Sanskrit.

Key Points

• Manusmriti is usually translated as "code of Manu", but it literally means "reflections of Manu".
• It was written in Sanskrit.
• It presents itself as a document that compiles and organizes the code of conduct for human society.
• Manu-smriti is the popular name of the work, which is officially known as Manava-dharma-shastra.

Important Points 

• The Manusmriti was one of the first Sanskrit texts studied by the European philologists.
• It was first translated into English by Sir William Jones.
• His version was published in 1794.

The correct answer is 28 February.

Key Points

• 28^th February is celebrated as National Science Day.
• Indian Scientist Sir C. Venkata Raman on this day in 1928, discovered a phenomenon of scattering of photons which was later known as the ‘Raman Effect'.
• In 1930, he got Nobel Prize for this exceptional discovery.
• The National Council for Science and Technology Communication (NCSTC) in 1986 requested the Government of India to designate 28 February as National Science Day.
• The government of India accepted and announced the day as National Science Day in 1986.

 

Important Points

• The theme for National Science Day 2021 is 'Future of STI: Impact on Education Skills and Work'.

The correct answer is In 2016.

Key Points

• Banks Board Bureau
• Banks Board Bureau is an autonomous body of the Government of India tasked to improve the governance of Public Sector Banks, recommend the selection of chiefs of government-owned banks and financial institutions and help banks in developing strategies and capital raising plans.
• Chairperson: Bhanu Pratap Sharma
• Founded: 28 February 2016
• Parent department: Ministry of Finance
• Agency Executive: Bhanu Pratap Sharma, Chairman

Important Points

• Dinesh Khara has been recommended by the Banks Board Bureau as the next Chairman of State Bank O f India from October 2020.

The correct answer is A group of states.

Key Points

• Mahajanapadas:​
• The Mahajanapadas from Maha: Great, and Janapada: foothold of a people were sixteen kingdoms or group of states.
• They existed in Northern ancient India from the sixth to fourth centuries BCE during the second urbanization period.
• Ancient Buddhist texts like the Anguttara Nikaya make frequent reference to sixteen great kingdoms and republics which had developed and flourished in a belt stretching from Gandhara in the northwest to Anga in the eastern part of the Indian subcontinent.
• They are - Kashi, Kosala, Anga, Magadha, Vajji, Malla, Chedi, Vatsa, Kuru, Panchala, Machcha, Surasena, Assaka, Avanti, Gandhara and Kamboja.
• These Mahajanpadas are either Monarchy or Republics (Ganasanghas).
• The important Republics of this period were the Sakyas of Kapilavastu and the Licchavis of Vaishali.
• The important Monarchical Mahajanpadas of this period were Kaushambi (Vatsa), Magadha, Kosala and Avanti.
• They included parts of the trans-Vindhyan region and all had developed prior to the rise of Buddhism in India.

The correct answer is 10.

Key Points

• The then President Pranab Mukherjee launched IMPRINT India, a joint initiative of India’s top educational institutes.
• On the basis of Prime Minister Narendra Modi’s suggestion, the initiative links research done by institutions of national importance with immediate requirements of the society.
• The initiative will focus on 10 themes which includes Health Care, Computer Science and ICT, Water Resources and River systems, Defense and Manufacturing, among others.
• Currently, the initiative is  joint project of IITs and IISc.

Additional Information

• Focuses on socially relevant research in higher educational institutions with a budget provision of Rs.487 crore.
• Establishment of 9 research parks at a total cost of Rs.775 crore, 8 of them being in the Indian Institutes of Technology (IITs) and one in Indian Institute of Science (IISc).
• These research parks will propel innovation through incubation and joint research between academia and industry.
• IMPRINT is a first-of-its-kind Pan-IIT and IISc joint initiative to develop an (a) New Education Policy, and (b) Roadmap for Research to solve major engineering and technology challenges in selected domains needed by the country.
• The ten domains represent the most important areas relevant to our country in order to enable, empower and embolden the nation for inclusive growth and self-reliance.

The correct answer is Indian.

Key Points

• A team from the Physical Research Laboratory led by Prof. Abhijit Chakraborty​, Ahmedabad, has spotted for the first time a distant planet.
• It is six times bigger than Earth and revolving around a Sun-like star about 600 light-years away.
• It is said to be a Sub-Saturn or Super-Neptune size planet (mass of about 27 Earth Mass and size of 6 Earth Radii) around a Sun-like star.
• Both the planet and the star have been named EPIC. EPIC 211945201b (or K2-236b)
• It is the name given to the planet and the host star is named EPIC 211945201 or K2-236.

The correct and answer is Ministry of Science and Technology.

Key Points

• The Prime Minister is the head of the:
• Nuclear Command Authority.
• NITI Aayog.
• Appointments Committee of the Cabinet.
• Department of Atomic Energy.
• Department of Space and
• Ministry of Personnel Public Grievances and Pensions.

Additional Information

• The Prime Minister of India serves the country by following various functions. He performs his functions taking responsibilities as:
• The leader of the Country: The Prime Minister of India is the Head of the Government of India.
• Portfolio allocation: The Prime Minister has the authority to assign portfolios to the Ministers.
• Chairman of the Cabinet: The Prime Minister is the chairman of the cabinet and presides over the meetings of the Cabinet. He can impose his decision if there is a crucial opinion difference among the members.
• Official Representative of the country: Prime minister represents the country for high-level international meetings
• The link between the President and the Cabinet: The Prime Minister acts as the link between President and the cabinet.
• He communicates all decisions of the Cabinet to the President which is related to the administration of the affairs of the Union and proposals for legislation.

The correct answer is Article 17.

Key Points

• Article 17 of the Indian Constitution eliminates the practice of untouchability.
• Untouchability is abolished and its practice in any form is forbidden.
• The enforcement of any disability arising out of Untouchability shall be an offense punishable in accordance with the law.

 

Additional Information

The correct answer is Andhra Pradesh.

Key Points

• The Kaveri river rises from The Brahmagiri hills.
• The Kaveri River rises on the Brahmagiri Hill of the Western Ghats in southwestern Karnataka state, flows through the states of Karnataka and Tamil Nadu in a southeasterly direction for 765 km, and descends the Eastern Ghats in a series of great falls.
• The Kaveri river is joined by two tributaries the Hemavati and Lakshmantirtha.
• Brahmagiri hills is a mountain range in the Western Ghats of Maharashtra.
• Trimbakeshwar Shiva Temple is located near the Brahmagiri hills.
• The Kaveri Valley flows through Kerala>Kanataka>Tamil Nadu.

The correct answer is Scattering.

Key Points

• The sky would appear blue because it has the least wavelength and gets scattered the most.
• The sky would appear deep red because, during sunrise and sunset, the rays have to travel a larger part of the atmosphere because they are very close to the horizon, Therefore, the light other than red is mostly scattered away and most of the red light enters.
• Sky would appear white because, on a hot day due to a rise in temperature, water vapour into the atmosphere leads to the abundant presence of water molecules in the atmosphere.

 

Important Points

• Rayleigh Scatter:
• Rayleigh scatter occurs when radiation (light) interacts with molecules and particles in the atmosphere that are smaller in diameter than the wavelength of the incoming radiation.
• Shorter wavelengths are more readily scattered than longer wavelengths.

 

The correct answer is Dehradun.

Key Points

• ICFRE: Indian Council of Forestry Research and Education.
• Founded: 1^st June 1991.
• It has been declared an autonomous council under the then Ministry of Environment and Forests and registered as a Society under the Societies Registration Act, 1860.
• Headquarters: Dehradun.
• It is an apex body in the national forestry research system that promotes and undertakes a need-based forestry research extension.
• Director-General ICFRE: Arun Singh Rawat (as of June 2021)

Additional Information

• Important Research institute in India​

The correct answer is Jhoti Chita.

Key Points

• Jhoti Chita is a traditional Odia art.
• This art is mostly shown in rural areas of Odisha.
• It is made from rice paste and with the help of a piece of cloth surrounded by a stick is used to create beautiful patterns on the floor and walls.

Additional Information

• About Odisha (as of June 2021)
• CM: Naveen Patnaik
• Governor: Ganeshi Lal
• State flower: Peepal
• State Animal: Elephant
• Highest Peak: Deomali
• National Parks and Wildlife Sanctuaries: Similipal National Park, Bhitarkanika NP, Badrama WS, Baisipalli WS, Balukhand Konark WS, Chandaka Dampara WS, Chilika Nalaban WP

​

The correct answer is ​T → M → K → D → H.

Key Points

1. Power Organization of Magadha Rulers (544 BC to 322 BC)

• ​​Magadha was an ancient Indian kingdom in Bihar.
• The First capital of Magadha was Rajgir.
• The first ruling dynasty of Magadha was the Haryak dynasty.
• Bimbasar ruled Magadha Empire for almost 52 years.
• Nanda Dynasty ruled the Magadha Empire during the Alexander invasion of India.
• The last of the Nanda Dynasty, Dhana Nanda was overthrown by Chandragupta Maurya.
• Bimbisara was the founder of the Harayak dynasty.

2. Invasion of Alexander of Macedon (326 BC to 325 BC)

• ​​In the 4^th century, the Greek ruler Alexander fought with the Iranians to establish their supremacy over the world.
• Alexander conquered Iran, Iraq & Asia minor also.
• After his Kabul conquest, he invaded India through Khyber Pass as he was attracted by India's wealth,
• Alexander's invasion became a great success.
• He added to his empire a part of the North-western frontier of India.
• However, his success was soon lost to the Magadha rulers.

3. Ashoka's rule (268 BC to 232 BCE)

• ​​Ashoka, the greatest ruler of the Mauryan Empire was the son of Bindusara and he succeeded to the throne after his father.
• He was the first ruler who took messages to the people through his inscriptions.
• After his accession to the throne, the Kalinga war was the only war that he fought.
• As he was moved by the massacre of the Kalinga war, he gave up the idea of conquest by war and followed conquest by dhamma.
• Indo-Greek Rule in the North West (2^nd CE to the beginning of the 1^st CE)
• Indo-Greeks were followed by Central Asian people known as the Shakas.
• They set up kingdoms in the northwest, north and western India.
• Some of these kingdoms lasted for about 500 years.
• Shakas were defeated by the Gupta kings.​​
• Beginning of Gupta rule (319 CE to 467 CE)
• ​​The Gupta Empire was an ancient Indian empire existing from the mid-to-late 3^rd century CE to 543 CE.
• This period is considered the Golden Age of India by historians.
• The ruling dynasty of the empire was founded by king Sri Gupta the most notable rulers of the dynasty were Chandragupta I, Samudragupta, and Chandragupta II alias Vikramaditya.
• The 5^th-century CE Sanskrit poet Kalidasa credits the Guptas with having conquered about twenty-one kingdoms, both in and outside India, including the kingdoms of Parasikas, the Hunas, the Kambojas, tribes located in the west and east Oxus valleys, the Kinnaras, Kiratas, and others

The correct answer is Malaysia.

Key Points

• Nipah virus (N_iV) is a zootonic virus that is transmitted to humans from animals.
• It was first isolated and identified in 1998-99 by Malaysian pig farmers.
• It is transmitted to humans after direct contact with the bodily fluids of infected bats, pigs, rabbits, and other infected people.
• It can also be transmitted through contaminated food or directly between people.
• Although the Nipah virus has caused only a few known outbreaks in Asia, it infects a wide range of animals and causes severe disease and death in people, making it a public health concern.

Important Points

• The Nipah outbreak reported in Kozhikode and Malappuram districts of Kerala in May 2018 was the third of Nipah Virus Outbreaks in India, the earlier being in 2001 and 2007, both in West Bengal.

The correct answer is Barapani.

Key Points

• Dam siat is the local name of this lake.
• The Lake was built in 1960.
• By creating a dam along the Umiam River, the lake was formed.
• Assam state electricity board has built the Umiam dam.
• To store water to generate hydroelectric power was the initial aim of building the dam.
• In northeast India, it is the first hydroelectric power project.
• In Meghalaya, the Lake is a source of attraction for tourists.

Additional Information

The correct answer is New Delhi.

Key Points

• Indian Farmers Fertiliser Cooperative Limited (IFFCO): (as of June 2021)
• Founded: 1967
• Chairman: Balvinder Singh Nakai
• Managing Director: U. S. Awasthi
• Headquarters: New Delhi

 

Important Points

• Indian Farmers Fertilizer Cooperative Ltd (IFFCO) signed an MoU with the Indian Council of Agricultural Research (ICAR) for joint research, testing and validation of different products through ICAR institutes and Krishi Vigyan Kendras (KVKs).
• The objective of the collaboration is to serve farmers in reducing consumption of chemical fertilizers by effective use of technology.
• The MoU would help in solving the problems of farmers.
• This is another collaborative step to double the farmer's income by 2022, a vision by our Prime Minister Narendra Modi.

The correct answer is Innovation.

Key Points

• Global Innovation Index (GII)
• It provides detailed metrics about the innovation performance of 131 countries and economies around the world.
• Its 80 indicators explore a broad vision of innovation, including political environment, education, infrastructure, and business sophistication.
• It is published annually by Cornell University, INSEAD, and the WIPO.
• India is at the 48^th position in the list of top 50 innovative countries.
• 2020 Theme:
• Who will Finance Innovation?
• The GII 2020 sheds light on the state of innovation financing by investigating the evolution of existing mechanisms and by pointing to progress and remaining challenges.

Important Points

• India ranks 48^th among the 131 economies featured in the GII 2020.
• Switzerland is the world’s most innovative economy followed by Sweden, the United States of America, the United Kingdom, and the Netherlands, according to the GII 2020 (13^th edition).

The correct answer is Harry Kane (England).

Key Points

• Harry Kane was given the Golden Boot award in the 2018 FIFA World Cup.
• England's Harry Kane finished as the leading goalscorer at the 2018 FIFA World Cup to win the Adidas Golden Boot.
• France's Antoine Griezmann and Belgium's Romelu Lukaku finished second and third respectively.
• The Adidas Golden Boot accolade is coveted by every top striker on the planet, but only the highest scorers at the FIFA World Cup finals are awarded it.

Important Points 

• The 2021 FIFA Club World Cup is scheduled to be the 18^th edition.
• A FIFA-organized international club football tournament between the winners of the six continental confederations, as well as the host nation's league champions.
• The tournament will be hosted by Japan in December 2021.
• Federation Internationale de Football Association (FIFA)
• President: Gianni Infantino
• Founded: 21 May 1904
• Headquarters: Zurich, Switzerland

The correct answer is In 1975.

Key Points

• Firstly in 1974, by the 35^th Constitutional Amendment, Sikkim was given a special status of Associate State of India.
• But, a year later, 36^th Constitutional Amendment act 1975 repealed 35^th Constitutional Amendment.
• In 1974, Sikkim expressed its desire for greater association with India. Accordingly, the 35^th Constitutional Amendment Act (1974) was enacted by the parliament.
• This amendment introduced a new class of statehood under the constitution by conferring on Sikkim the status of an ‘associate state’ of the Indian Union.
• In a referendum held in 1975, they voted for the abolition of the institution of Chogyal and Sikkim becoming an integral part of India.
• Consequently, the 36^th Constitutional Amendment Act (1975) was enacted to make Sikkim a full-fledged state of the Indian Union (the 22^nd state).

Additional Information

• About Sikkim: (as of June 2021)
• Capital: Gangtok.
• Governor: Ganga Prasad.
• Chief Minister: Prem Singh Tamang.
• Traditional Local festivals of Sikkim are Maghe Sankranti and Bhimsen Puja. Losar, Saga Dawa and Bhumchu are the popular buddhist festivals in Sikkim.
• Important folk dances in Sikkim are Mask Dance, Lu Khangtamo, Rechungma, Maruni and Limboo or Subba Folk Dance.
• National Park: Khangchendzonga National Park (UNESCO World Heritage Site) Declared in 1977 and extended in 1997.

The correct answer is Tripura.

Key Points

• Dipa Karmakar became the first gymnast to have received the prestigious Rajiv Gandhi Khel Ratna Award.
• She is from Agartala, Tripura.
• She received honours from the President at the Rashtrapati Bhavan on August 29, 2016.
• She joined the club of 12 eminent female sports personalities who have been awarded the Rajiv Gandhi Khel Ratna Award.

 

Additional Information

• About Tripura: (as of June 2021)
• It is located in the northeastern part of the country.
• It is bordered to the north, west, and south by Bangladesh, to the east by the state of Mizoram, and to the northeast by the state of Assam.
• The capital is Agartala, near the Bangladesh border in the northwestern part of the state.
• About half of Tripura’s land area is under forest cover.
• Roughly half of the state’s population belongs officially to Scheduled Castes and Scheduled Tribes.
• Some prominent tribal groups include the Reang, the Chakma, the Halam (a subgroup of the Kuki), the Garo, the Lusai (Mizo), and the Marma (Mogh); most originally moved to Tripura from various hill regions in neighbouring states.
• Chief Minister : Manik Saha
• Governor: Satyadev Narayan Arya

Given:

The length of a rectangle is increased by 40%

Formula used:

Area of rectangle = Length × Breadth

Calculation:

Suppose the length and breadth of the rectangle are ‘x’ and ‘y’ respectively.

So, area of rectangle = xy

Now,

Increased length = 1.4x

New breadth = xy/1.4x

⇒ y/1.4

Change in breadth = y - (y/1.4)

⇒ 2y/7

Decreased% = $\dfrac{\frac{2y}{7}}{y} × 100$

⇒ $\dfrac{200}{7}\%$

∴ Percentage decreased in breadth = $\dfrac{200}{7}\%$

Alternate Method

Let the length be 100 and breadth b

Length = 100

Initial area = 100b

New length = 140

New breadth = 100b/140 = b/1.4

Change in breadth = 2b/7

Decreased% = $\dfrac{\frac{2b}{7}}{b} × 100$

⇒ $\dfrac{200}{7}\%$

∴ Percentage decreeased in breadth = $\dfrac{200}{7}\%$

Given: 

8 men and 2 women can do a piece of work in 24 days

16 men in 8 hours is equal to the work done by 2 women in 24 hours

Formula:

Total work = Efficiency × Time Taken

Calculation:

Let efficiency of 1 man and 1 woman be M and W respectively

According to the question,

(8M + 2W) × 24 = Total work      ----(1)

Now, 

16M × 8 = 2W × 24

⇒ 8M = 3W      

Putting the value of 8M = 3W in equation (1),

(8M + 2W) × 24 = Total work 

⇒ (3W + 2W) × 24 = 120 W

Then,

8M = 3W

⇒ (8M) × 5 = (3W) × 5 (Multiplying both sides with 5)

⇒ 40M = 15W

Again, According to the question,

(40M + 45W) × d = 120W × 1.5

⇒ (15W + 45W) × d = 120W × 1.5

⇒ 60W × d = 120W × 1.5

⇒ d = 3 days

∴ The required time will be 3 days.

Given:

Speed of train = 65 km/h

Another speed = 5 km/hr

Time = 12 sec

Formula used:

Distance = Speed × Time

Time = Distance/Speed

When two bodies move in same direction,

Relative Speed = Difference of Speeds

Concept used:

To convert a speed from km/h to m/s, we multiply it by 5/18

Calculation:

Let the length of train be X m

According to the question,

Distance = (65 - 5) × 5/18 × 12

⇒ X = 60 × 5/18 × 12 = 200 m

∴ The length of the train is 200 m.

Given:

A person spends 80% of his income. If his income increases by 20% and his expenditure increases by 10%.

Concept used:

Income - Expenditure = Saving

Calculation:

Let the income be 100x

According to the question:

A man spends 80% of his income

Expenditure = 80x

⇒ 100x - 80x = 20x

Savings = 20x

Income increases by 20% 

⇒ 100x + 20x = 120x

Expenditure increases by 10%

⇒ 10% = 1/10

Increase of  10% = 11/10

⇒ 80x × 11/10

⇒ 88x

New savings = 120x - 88x = 32x

Change in savings 

⇒ 32x - 20x = 12x

Percentage increase in saving = (12x/20x) × 100 = 60%

∴ His savings are increased by 60%.

Given:

Total principal = Rs. 17600

Rate = 6% and 5%

Time = 2 years

Formula Used:

S.I = PRT/100

Where,

S.I = Simple interest, P = Principal,

R = Rate of interest, T = Time duration

Calculation:

Let the principal at the rate of 6% and 5% be x and (17600 - x) respectively,

According to the question, we have

(x × 6 × 2)/100 = {(17600 - x) × 5 × 2}/100 

⇒ 12x = 176000 - 10x

⇒ 22x = 176000

⇒ x = 8000

∴ The principal at the rate of 6% is Rs. 8000.

Given:

The ratio of the number = 15 : 6 : 7

LCM of the number = 2520

Calculation:

Let the number be 15x, 6x and 7x

LCM of 15x, 6x and 7x is 210x

210x = 2520

⇒ x = 2520/210 = 12

⇒ x = 12

HCF of 15x, 6x and 7x is x

So HCF of the numbers is 12

∴ The HCF of the numbers is 12.

Given:

R₀ = 4 cm 

Ri = 3 cm 

r = 2 cm

Formulae used:

Volume of bigger sphere = Number of smaller spheres × Volume of smaller sphere

n = Number of smaller spheres

Calculations:

4/3 π (R03 - Ri3) = n × 4/3 π (r3)

∴ n = (R03 - Ri3) / (r3)

⇒ (43 - 33) / (23)

⇒ 37/8

∴ n = 4

Given:

Two pipes A and B can fill a tanker in 6 hours and 12 hours respectively

Pipe C can empty it in 15 hours.

Concept:

If a tap can fill a tanker in x hours, then the tanker filled by the tap in 1 hour = 1/x of the total tanker.

Calculation:

Part of tanker filled by three pipes in an hour

⇒ $\frac{1}{6}{\rm{}} + {\rm{}}\frac{1}{12} - \frac{1}{15}{\rm{}} = {\rm{}}\frac{{10{\rm{;}} + {\rm{;}}5 - 4}}{{60}}$

⇒ 11/60

Time = 60/11 hours

∴ The tanker will be filled in 60/11 hours.

Formula used:

a³ + b³ = (a + b)(a² - ab + b²)

Calculation:

$\dfrac{0.07\times0.0049+0.000125}{0.0049 + 0.0025-0.0035}$

⇒ $\dfrac{(0.07)^3+(0.05)^3}{(0.07)^2 + (0.05)^2-0.07 \times 0.05}$

Where, a = 0.07 and b = 0.05

⇒ $\dfrac{(0.07+0.05) \times [(0.07)^2+(0.05)^2-0.07 \times 0.05]}{(0.07)^2 + (0.05)^2-0.07 \times 0.05}$

⇒ 0.07 + 0.05 = 0.12

∴ The value of $\dfrac{0.07\times0.0049+0.000125}{0.0049 + 0.0025-0.0035}$ is 0.12.

Calculation:

According to the question,

Mean ratio,

a/b = b/c

⇒ c = b²/a      ----(1)

⇒ c = √ab

From equation (1),

√ab = b2/a 

Squaring both sides,

⇒ (√ab)² = (b2/a)²

⇒ ab = b⁴/a²

⇒ a³ = b³

⇒ a = b

⇒ a - b = 0

∴ a - b is equal to 0.

Concept used:

$\dfrac{5\dfrac{2}{11}-3\dfrac{13}{14}+\dfrac{12}{7}\div\dfrac{36}{7}}{\left(1\dfrac{2}{9}\div1\dfrac{2}{5}of\dfrac{5}{21}\right)+\dfrac{1}{3}}$

Follow the BODMAS rule according to the table given below:

Calculation:

$\dfrac{5\dfrac{2}{11}-3\dfrac{13}{14}+\dfrac{12}{7}\div\dfrac{36}{7}}{\left(1\dfrac{2}{9}\div1\dfrac{2}{5}of\dfrac{5}{21}\right)+\dfrac{1}{3}}$

⇒ $\dfrac{\dfrac{57}{11}-\dfrac{55}{14}+\dfrac{12}{7}\div\dfrac{36}{7}}{\left(\dfrac{11}{9}\div\dfrac{7}{5}of\dfrac{5}{21}\right)+\dfrac{1}{3}}$

⇒ $\dfrac{\dfrac{57}{11}-\dfrac{55}{14}+\dfrac{12}{7}\times \dfrac{7}{36}}{\left(\dfrac{11}{9}\div\dfrac{35}{105}\right)+\dfrac{1}{3}}$

⇒ $\dfrac{\dfrac{57}{11}-\dfrac{55}{14}+\dfrac{12}{7}\times \dfrac{7}{36}}{\left(\dfrac{11}{9}\times \dfrac{105}{35}\right)+\dfrac{1}{3}}$

⇒ $\dfrac{\dfrac{57}{11}-\dfrac{55}{14}+\dfrac{1}{3}}{\left(\dfrac{11}{3}\right)+\dfrac{1}{3}}$

⇒ $\dfrac{\dfrac{2394 - 1815 + 154}{462}}{\left(\dfrac{11 + 1}{3}\right)}$

⇒ $\dfrac{\dfrac{2548 - 1815 }{462}}{\dfrac{12}{3}}$

⇒ $\frac{733}{462} \times \frac{1}{4}$

⇒ $\frac{733}{1848}$

Given:

LCM = 143 × HCF

Formual used: 

HCF × LCM = Product of the two numbers

Calculation:

Let, the two be number x and y

According to the question,

x × y = HCF × LCM

⇒ x × y = 143 × 18 × 18

⇒ x × y = 13 × 11 × 18 × 18

Since, 18 is HCF, so 18 will be present in both numbers

Then, x or y = 18 × 11

 x or y = 18 × 13

Now,

Sum of Recipropcal of numbers = 1/x + 1/y

⇒ (x + y)/xy

⇒ [(18 × 13) + (18 × 11)]/(143 × 18 × 18)

⇒ (18 × 24)/(143 × 18 × 18) = 4/429

∴  The sum of the reciprocals of those two numbers is 4/429.

Hint

xy =  (143 × 18 × 18) and x + y = [(18 × 13) + (18 × 11)]

Where, 18 is common so,

(18 × 13 + 11) = 18 × 24

Given:

The ratio between the two numbers = 3 : 4

Each number is increased by 12

Calculation:

Let the numbers be 3x and 4x

According to the question:

(3x + 12)/(4x + 12) = 5/6

⇒ 6 × (3x + 12) = 5 × (4x + 12)

⇒ 18x + 72 = 20x + 60

⇒ 20x - 18x = 72 - 60

⇒ 2x = 12, x = 6

Required numbers = 3x = 3 × 6 = 18

4x = 4 × 6 = 24

The difference between the numbers = 24 - 18 = 6

∴ The difference between the numbers will be 6.

Shortcut Trick 

Given:

Selling price of article A = Rs. 2240

Profit on article A = 12%

Selling price of article B = Rs. 1700

Loss on article B = 15%

Formula used:

Profit% or Loss% = {(Profit or Loss)/Cost Price} × 100

Calculation:

Cost price of article A is

112% = 2240

⇒ 100% = 2240 × (100/112)

⇒ 100% = Rs. 2000

Cost price of article B is

85% = 1700

⇒ 100% = 1700 × (100/85)

⇒ 100% = Rs. 2000

Total cost price = 2000 + 2000 = Rs. 4000

Total selling price = 2240 + 1700 = Rs. 3940

Loss = 4000 - 3940 = Rs. 60

Loss% = (60/4000) × 100 = 1.5

∴ The overall loss % is 1.5%.

Given:

Increased radius = 120% of Original radius

Formula used:

Area of circle = πr2

Calculation:

Let the original radius be r and the increased radius is R.

Increased radius = 120% of Original radius

⇒ R = 120/100 × r

⇒ R = 6/5 × r

Original raea = πr2

Increased area = πR2

⇒ Increased area = π × (6/5 × r)2

⇒ Increased area = 36/25 × π × r2

Required percentage = (Increased area – original area)/Original area × 100

⇒ Required percentage = (36/25 × π × r2 – πr2)/ πr2 × 100

⇒ Required percentage = (11/25 × πr2)/ πr2 × 100

⇒ Required percentage = 11 × 4

⇒ Required percentage = 44%

∴ The area of the circle is increased by 44%.

Shortcut Trick

Let the original number be 100%.

Successive percentage = a% + b% + (ab/100)%

⇒ 20% + 20% + {(20)(20)/100}%

⇒ 44%

∴ Its area is increased by 44%.

Given:

P = Rs. 20000 

R = 12%

n = 12/8 = 3/2

t = 2 year

Formula used:

A = P × {1 + (R / 100n)}nt

Where P = Principal amount, R = Rate of interest in %, n = number of times interest applied per year and t = time period

Calculation:

A = 20000 × {1 + (12/150)}³

A = 20000 × {1 + 0.08}3

A = 20000 × {1.08}3

A = 20000 × 1.08 × 1.08 × 1.08

A = 25194.24

Compound Interest = A - P

Compound interest = Rs. 5194.24

Given:

Time taken by man to cover 15 km upstream and 22 km downstream = 5 hrs.

Time taken by man to cover 20 km upstream and 44 km downstream = 8 hrs.

Concept Used:

If 'b' is the speed of a boat and 's' is the speed of a stream then,

Upstream speed of boat = b - s

Downstream speed of boat = b + s

Formula used:

Time = Distance/Speed

Calculation:

Let the speed of the boat be 'b' and the speed of the stream be 's'.

According to the question,

{15/(b - s)} + {22/(b + s)} = 5      ----(i)

{20/(b - s)} + {44/(b + s)} = 8      ----(ii)

Let us put 1/(b - s) = P and 1/(b + s) = Q in equation (i) and (ii),

So, 

15P + 22Q = 5      ----(iii)

20P + 44Q = 8      ----(iv)

Multiplying equation (iii) by 2, and subtracting equation (iii) from equation (iv), we get

(15P + 22Q) × 2 - (20P + 44Q) = 10 - 8

⇒ 30P + 44Q  - 20P - 44Q = 2

⇒ 10P = 2

⇒ P = 1/5

Putting the value of P in equation (iii), we get

15P + 22Q = 3 

⇒ 15 × 1/5 + 22Q = 5

⇒ 3 + 22Q = 5

⇒ 22Q = 2

⇒ 22Q = 2

⇒ Q = 1/11

So, b - s = 5 & b + s = 11

So, b = 8 km/hr and s = 3 km/hr.

∴ The speed of stream is 3 km/hr.

Given:

The efficiency of A, B and C = 2 : 3 : 4

They together can complete = 12 days

Formula used:

Work done = Time × Efficiency

Calculation:

Total work is

12 × (2 + 3 + 4) = 108

B can complete the work in

108/3 = 36 days

∴ B can complete the work in  36 days.

Given:

the percentage marks obtained by C = 80, 64, 72, 76, 72

Formula used:

Average = Sum of observations/Number of observations

Calculation:

Average % = (80 + 64 + 72 + 76 + 72)/5 = 364/5 = 72.8%

∴ The average percentage of marks obtained by all the students in subject C is 72.8%.

Given:

Calculation:

Marks of P in A subject = 50 × 60/100 = 30

Marks of P in B subject = 75 × 76/100 = 57

Marks of P in C subject = 75 × 80/100 = 60

Marks of P in D subject = 150 × 56/100 = 84

Marks of P in E subject = 50 × 52/100 = 26

Total marks of P = 30 + 57 + 60 + 84 + 26 =257

Total marks = 50 + 75 + 75 + 150 + 50 = 400

Required % = (257/400) × 100 = 64.25%.

∴ The required percentage is 64.25%.

The correct answer is 'Although.'

Key Points

• The conjunction 'Although' means in spite of the fact that; even though.
• Example: Although she is young, she is very independent.
• The given sentence means that in spite of the fact that his foot was in bad condition, he managed to play.
• Therefore, the most appropriate word to be filled in the blank is 'although'.

Hence, the correct answer is option 4.

Complete Sentence: Although my foot was in a bad shape, I managed to play the match.

The correct answer is not a member.

Key Points

• Unless is used to say what will or will not happen if something else does not happen or is not true; except if. It simply means "if ... not". We use it for negative conditions.
• We use a positive verb after unless.
• Ex: I will walk to school unless it rains.
• Thus, not should be removed.

Correct sentence: You are not allowed in this club unless you are a member.

he correct answer is ADBCE.

Key Points

• Sentence A will be the first sentence of the sequence because it introduces the subject of the sentence i.e. in most government departments. The sentence talks about something regarding government departments.
• Sentence D will come after A because it tells us what is happening in most government departments i.e. promotions are given.
• Next sentence is B as it further mentions who is being promoted.
• Sentence B and C through the conjunction 'and'. It also mentions that there is no incentive even after being promoted.
• The sentence 'E' is the concluding part because it is further mentioning that for whom there are no incentives.

Correct Sentence: In most government departments promotions are given on seniority basis and there is no incentive for a hard working person.

Important Points

• Important Rules to Solve the Sentence Jumbles:
• Read the sentences attentively and try to comprehend the idea or theme of the sentences.
• Try to identify the opening and closing sentences.
• Try to identify the mandatory pairs. Two sentences can be connected through various connectors and other determinants.

The correct answer is but.

Key Points

• The conjunction 'but' marks an opposition or contrast. 
• I want to go to the party, but I am tired.
• Similarly, in the given sentence, but should be used as it means on the contrary i.e. on the other hand.
• Hence, but is the correct fit word for the blank.

Complete sentence: It happened a long time ago but I can still remember that horrible night.

The correct answer is at.

Key Points

• The preposition 'at' is used to speak about specific locations in cities or the countryside.
• The given sentence is talking about the Race Course Road bungalow, which is a specific location.
• Thus, the suitable preposition here is 'at'.

Hence, the correct answer is option 2.

Complete Sentence: Talks are to be held in the Race Course Road bungalow.

Confusion Points

• In is used in an enclosed space, or a general area that contains borders or boundaries.​

The correct answer is 'Naive.'

Key Points

• Crafty means 'clever at getting or achieving things by using unfair or dishonest methods (अनुचित तरीके से कुछ प्राप्त करने में चालाक; धूर्त, चालाक, चालबाज)'.
• ​Example: The schemes to evade taxes were very crafty.
• Naive means 'without enough experience of life and too ready to believe or trust other people (जिसे जीवन का पर्याप्त अनुभव नहीं और जो दूसरों पर तुरंत विश्‍वास या भरोसा कर लेता है; भोला-भाला)'.
• ​Example: Naive trainees were often thus coaxed into doing hard, boring work for little remuneration.
• It is clear that Crafty and 'Naive' are opposite in meaning.

Therefore, the correct answer is option 2.

Additional Information 

• Noisy means making a lot of or too much noise; full of noise (शोर मचाने वाला; शोर-भरा, कोलाहलपूर्ण).
• Cunning means clever in a dishonest or bad way (चालाक, धूर्त).
• Remarkable means unusual and surprising in a way that people notice (असाधारण और आश्‍चर्यजनक इस तरह से जो ध्‍यान देने योग्‍य है).

The correct answer is has gone.

Key Points

• The present perfect tense refers to an action or state that either occurred at an indefinite time in the past or began in the past and continued to the present time.
• In such cases, 'has or have' is followed by the third form of the verb, or the past participle form of the verb.
• Thus, has gone is the perfect fit for the blank.

Confusion Points

• Option 4: went:- It is in simple past which represents the action that happened at some specific time in past.

The correct answer is brief.

Key Points

• Concise means short and clear, expressing what needs to be said without unnecessary words.
• ​Ex: Since I get bored easily, I only read concise stories under fifty pages.
• Brief means short in duration, extent, or length.
• ​Ex: She presented a brief report.
• Thus, we can conclude that concise is similar in meaning to brief.
• Hence, option 1 is the most appropriate answer choice.

The correct answer is The branches of the Dragon tree can be hollowed out and used as musical instruments.

Key Points

The construction of the sentences is incorrect except option 4. Let's explore all the other options: 

• Option 1: The branches of the Dragon tree hollowed out and as musical instruments can be used.
• ​Helping verb (can be) is missing before hollowed out. Moreover, the sentence is grammatically absurd.
• Option 2: The branches of the Dragon tree can be used as musical instruments and hollowed out.
• ​The main verb 'hollowed out' should be placed after 'can be'. Thus, it is also incorrect.
• Option 3: The musical instruments can be hollowed out and used as branches of the Dragon tree.
• ​It is not practically possible to use musical instruments as branches of the Dragon tree. It should be vice- versa.
• Thus, option 4 is the correct sentence in which two clauses are joined by the coordinating conjunction 'and'. It makes proper grammatical sense.

The correct answer is am going.

Key Points

• The sentence begins with 'yesterday'. It implies that the sentence is in past tense.
• Thus, am going should be replaced by was going.

​

The correct sentence: Yesterday I met an old friend of mine when I was going to the bank.

The correct answer is interactions.

Key Points

Let us look at the meanings of all the words:

• Interactions: an occasion when two or more people or things communicate with or react to each other
• Requests: an act of asking politely or formally for something
• Emotions: strong feeling such as love or anger, or strong feelings in general
• Affairs: a situation or subject that is being dealt with or considered

The given sentence is talking about younger generations being negligible about communicating with society due to overuse of mobile phones, so, the correct word for the blank should be interactions.

The correct sentence: Nowadays the younger generation is so overpowered by mobile phones that their social interactions have become almost negligible.

The correct answer is "Sorrow". 

Key Points

• Misery is a state of deep distress or unhappiness caused by need or by misfortune. (दुख).
• Example: The loss of his job plunged him into deep misery.
• Sorrow is a feeling of deep distress caused by loss, disappointment, or other misfortune suffered by oneself or others. (दुःख).
• Example: His face showed sorrow for his friend's misfortune.
• Therefore, the correct answer is "Option 3".

Additional Information

• Nervousness refers to the state of being anxious or uneasy. (घबराहट).
• For example, she felt a wave of nervousness before going on stage.
• Anger is a strong feeling of annoyance, displeasure, or hostility. (क्रोध).
• For example, his face turned red with anger when he was lied to.
• Confusion is a state of being bewildered or unclear in one’s mind about something. (भ्रम).
• For example: She had a look of confusion when she saw the unexpected results.

The most suitable preposition is behind.

Key Points

Let's understand the usage of the given preposition:

• Behind: at or to the far side of (something), typically so as to be hidden by it 
• Ex: The recording machinery was kept behind screens.
• Over: above or higher than something else, sometimes so that one thing covers the other; above 
• Ex: His flat was over the shop.
• Along: from one part of a road, river, etc. to another 
• Ex: From here we marched along the Kalatso plain to Menza.
• Through: moving in one side and out of the other side of (an opening, channel, or location)
• Ex: He walked through the doorway into the living room.
• Therefore, by understanding the usage of the above preposition it is clear that 'behind' is the correct answer.

The correct sentence: The child ran away and hid behind the tree.

The correct answer is fill.

Key Points

• Evacuate means to remove the contents of : empty.
• ​Ex: When it springs a leak, evacuate the water tank.
• Fill means cause (a space or container) to become full or almost full.
• ​Ex: I filled the bottle with water.
• Thus, we can conclude that fill is opposite in meaning to evacuate.
• Hence, option 4 is the most appropriate answer choice.

Additional Information

Let's understand the meaning of other options:

• Invade: to enter a country by force with large numbers of soldiers in order to take possession of it
• Vacate: leave (a place that one previously occupied)
• Emerge: become apparent or prominent

The correct answer is drought.

Key Points

Let us look at the meanings of all the words:

• Drought: a prolonged period of abnormally low rainfall, leading to a shortage of water
• Summer: the season when the temperature is high
• Storms: a violent disturbance of the atmosphere with strong winds and usually rain, thunder, lightning, or snow
• Winter: the season when the temperature is low

The given sentence is talking about farmers having no water to irrigate the fields, so, the correct word for the blank should be drought as it means shortage of water.

The correct sentence: The crops in many districts of Maharashtra were affected by a long spell of drought. The farmers had no water to irrigate the fields.

The correct answer is stern and dominating.

Key Points

• Refer to the lines: 
• ‘Ah! I dare say he will,' replied the lady pettishly, ‘on our victuals and our drink. I see no saving in parish children, not I; for they always cost more to keep, than they're worth. However, men always think they know best. There! Get downstairs, little bag o' bones.’
• With this, the undertaker's wife opened a side door, and pushed Oliver down a steep flight of stairs into a stone cell, damp and dark: forming the ante-room to the coal-cellar, and denominated ‘kitchen’; wherein sat a slatternly girl, in shoes down at heel, and blue worsted stockings very much out of repair.
• Pettishly means showing anger and behaving impatiently.
• Upon the perusal of the above bold lines, it can be deduced that the lady was firm, strict, or uncompromising in nature.
• Thus, we can conclude that the lady is stern and dominating.

The correct answer is 1 - b, 2 - c, 3 - a.

Key Points

Let's see the meaning of words (1,2,3):

• Vixenish: A female fox
• Countenance: a person's face or facial expression
• Victuals: food or provisions

From the meanings of the words, we can conclude that Vixenish means fox like, Countenance means face and Victuals means food. Thus, 1 - b, 2 - c, 3 - a makes a correct pair.

The correct answer is a novel.

Key Points

• A novel is a piece of writing that is usually long and complex and deals especially with human experience through a usually connected sequence of events or a long printed story about imaginary characters and events.
• The given piece of writing narrates the events and mentions many characters.
• Thus, the given piece is a novel.

Additional Information

• Article: a piece of writing included with others in a newspaper, magazine, or other publication
• Biography: an account of someone's life written by someone else
• Report: to give a description of something or information about something to someone