DSSSB TGT Maths (Male) 23 Sep 2018 Shift 2 (Previous Year Paper)

Concepts of BODMAS rule:

• BODMAS has to be used when there is more than one operation in a mathematical expression. There is a sequence of certain rules that need to be followed when using the BODMAS method.

Conditions to follow:

• If there is any bracket, open the bracket, then add or subtract the terms. a + (b + c) = a + b + c,  a + (b - c) = a + b - c
• If there is a negative sign just open the bracket, multiply the negative sign with each term inside the bracket. a – (b + c) ⇒ a – b – c
• If there is any term just outside the bracket, multiply that outside term with each term inside the bracket. a(b + c) ⇒ ab + ac

Remember BODMAS Rule:

One easy way to remember the BODMAS rule is to perform these steps:

The logic followed is:

Decoding the information, 

Given the equation: 320 × 4 - 7 + 20 ÷ 38 = ?

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

320 ÷  4 × 7 - 20 + 38 = ?

80 × 7 - 20 + 38 = ?

560 - 20 + 38 = ?

598 - 20 = ?

? = 578 

Hence, the correct answer is "578".

By checking Options:

(1) Moon : Earth → Moon revolves around the Earth and they are not attached.

(2) Wheel : Axle → Wheel is attached to the axle and they rotate together.

(3) Star : Galaxy →  Star revolves around the centre of the Galaxy and they are not attached.

(4) Mercury : Sun → Mercury revolves around the Sun and they are not attached.

Important Points 

The stars in our galaxy are all orbiting in a nearly circular path around the centre of the galaxy. 

The wheel and axle is a simple machine consisting of a wheel attached to a smaller axle so that these two parts rotate together 

Hence, Wheel : Axle is differently related.

Checking each figure one by one:

1. Figure (A) is as follows:

2. Figure (B) after rotating 90° anticlockwise is the same as Figure (A):

3) Figure (C) after rotating 180° clockwise is the same as Figure (A):

4) Figure (D) after rotating 180° clockwise is not same as Figure (A):

Figures A, B, and C are the same except Figure D.

Hence, option (1) is the correct answer.

The pattern followed is:

Hence, the correct answer is "144".

The pattern followed is:

Hence, the correct answer is "G".

Naidu fitness club gives 30% concession in the monthly fee to those belonging to any of the following categories:

Condition iv follows.

So concession is 30% is given by Naidu Club.

Concession = 30% of 5000

= (30 × 5000)/100

= 1500

Pay after concession = 5000 - 1500

= 3500

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

The logic followed is:

The chef is a professional cook who prepare the food.

Similarly,

Tailor is a profession who stitches the cloth.

Hence, the correct answer is "Clothes".

The family chart is as follows:

Drawing the family tree as per the given information:

Thus Radhas mother’s sister related to Archana as Aunt.

Hence, the correct answer is "Aunt".

The logic followed is:

The second number = (First number)² × 2 

Option 1 → 8 - 128

128 = (8)² × 2

128 = 64 × 2

128 = 128

Option 2 → 12 - 288

288 = (12)2 × 2

288 = 144 × 2

288 = 288

Option 3 → 6 - 72

72 = (6)² × 2

72 = 36 × 2

72 = 72

Option 4 → 7 - 100

100 = (7)² × 2

100 = 49 × 2

100 ≠ 98 

Hence, the correct answer is "Option 4".

The logic followed is:

In all the options except (option D), all the faces open in the same direction, and the next figure can be obtained by 90º clockwise rotation.

Option 1:

Both the shapes are in the same direction.

90º clockwise rotation will give the next figure.

Option 2:

Both the shapes are in the same direction.

90º clockwise rotation will give the next figure.

Option 3:

Both the shapes are in the same direction.

Both the shapes are in the same direction.

90º clockwise rotation will not give the next figure. 

Option 4:

Both the shapes are opposite to each other.

Thus figure D is not following the pattern. 

Hence, the correct answer is "Option 4".

Ratio between the present ages of A and B = 5 : 4

Let;

Age of A = 5x

Age of B = 4x

According to question;

Age of A = Age of B + 3

5x = 4x + 3

5x - 4x = 3

x = 3

So, Age of A = 5 × 3 = 15 years

Age of B = 4 × 3 = 12 years

The age of A after 3 years = 15 + 3 = 18 years

The age of B after 3 years = 12 + 3 = 15 years

Ratio of the ages of A and B after 3 years = 18 : 15

= 6 : 5

Hence, "6 : 5" is the correct answer.

Given:

Total crop production = 23,428 tonnes

Calculation:

Amount of wheat is cultivated = 35%

We know, 100% = 23,428 tonnes

Then, wheat production = 23428 × (100/35) = 8199.8 tonnes

∴ Wheat production in XYZ is 8199.8 tonnes

The logic followed is:

In all the figures except (option c), there is a total of 1 single-sided arrow two line segments, and two shaded circles. 

Figure A:

One single-sided arrow

Two-line segment

Two shaded circle

Figure B:

One single-sided arrow

Two-line segment

Two shaded circle

Figure C:

One single-sided arrow

Three-line segment

Three shaded circle

Figure D:

One single-sided arrow

Two-line segment

Two shaded circle

Hence, the correct answer is "Option 3".

The pattern followed is:

Given series:

1. There is a rotation of 90º clockwise in next each step.
2. One similar figure is added next to each step.

The figure which will come next is,

Hence, the correct answer is "Option 3".

As we can see the given figure is embedded in Option 2. 

Hence, the correct answer is "Option 2".

From the diagram given below:

The shaded part represents women who have done MCA but are not computer engineers.

Hence, the correct answer is "4".

Thus, the image that is formed after folding the paper is an image shown below,

Hence, the correct answer is "Option 1".

Let the number of donkeys be ‘a’ and the number of ducks be ‘b’.

So, total number of heads are (a + b) and total number of legs are (4a + 2b)

According to question:

(4a + 2b) = 2(a + b) + 16

→ 4a + 2b = 2a + 2b + 16

→ 4a + 2b – 2a – 2b = 16

→ 2a = 16

→ a = 8

So, the number of donkeys is 8.

Hence, ‘8’ is the correct answer.

• The correct answer is Option 1: Make an arrangement to deposit or hand over the required money/help for him

• Qualities Projected in this situation:  (Effective intelligence, speed of decision, and Cooperation).

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 logic followed is:

News is information about current events. This may be provided through many different media: word of mouth, printing, postal systems, broadcasting, electronic communication, or through the testimony of observers and witnesses to events.

Option 1 - Advertisement

It is not always necessary to present in the news program. Without it also a news program can be run.

Option 2 - Cartoon

It is not always necessary to present in the news program. Without it also a news program can be run.

Option 3 - Jokes

It is not always necessary to present in the news program. Without it also a news program can be run.

Option 4 - News

So the most important thing a news program always has is the news. Without it, there is no sense of news program.

Hence, the correct answer is "News".

The correct answer is Kathak.

• Indrani Rahman was an Indian classical dancer of Bharatanatyam, Kuchipudi, Kathakali, and Odissi, which she popularized in the west, and later settled in New York in 1976.
• In 1952, she won the Miss India pageant.
• **She popularised the Indian classical dance form, **Odissi during her international tours.
• Indrani had received the Padma Shri in 1969 and the Sangeet Natak Akademi Award in the performing arts and also the Taraknath Das Award.

​

Additional Information

• As per Sangeet Natak Akademi, there exist eight classical dance forms in India, which include Bharatnatyam, Kuchipudi, Kathakali, Mohiniattam, Odissi, Manipuri, Kathak, and Sattriya.
• Bharatnatyam-
• It is a classical dance from Tamil Nadu.
• Rukmini Devi Arundale, another famous proponent of Bharatnatyam, is remembered for giving global recognition to the dance.
• Kuchipudi-
• It is a classical dance from Andhra Pradesh.
• ​Radha Reddy and Raja Reddy, Yamini Krishnamurthy, Indrani Rahman, etc are famous proponents.
• ​Kathakali-​
• It is a classical dance from Kerala.
• Guru Kunchu Kurup, Gopi Nath, Kottakal Sivaraman, Rita Ganguly, etc are famous proponents.
• Kathak-​
• It is a classical dance from Uttar Pradesh.
• Birju Maharaj, Lacchu Maharaj, Sitara Devi, Damayanti Joshi, etc are famous proponents.

The correct answer is Cattle.

Key Points

• The period between 1500 B.C and 600 B.C may be divided into the
• Early Vedic Period or Rig Vedic Period (1500 B.C -1000 B.C) and
• Later Vedic Period (1000B.C - 600 B.C).
• During the Rig Vedic period, the Aryans were mostly confined to the Indus region.
• The Rig Veda refers to Saptasindhu or the land of seven rivers. This includes the five rivers of Punjab, namely Jhelum, Chenab, Ravi, Beas, and Sutlej along with the Indus and Saraswathi.
• The political, social, and cultural life of the Rig Vedic people can be traced from the hymns of the Rig Veda.
• The word ‘Veda’ is derived from the root ‘vid’, which means to know. In other words, the term ‘Veda’ signifies ‘superior knowledge’.
• The Rig Vedic Aryans were pastoral people and their main occupation was cattle rearing.
• Their wealth was estimated in terms of their cattle.
• When they permanently settled in North India they began to practice agriculture.
• With the knowledge and use of iron, they were able to clean forests and bring more lands under cultivation.

The correct answer is Killian Mbappe.

Key Points

• The 2018 FIFA World Cup took place between 14 June and 15 July 2018 in Russia.
• It was the 21^st edition of the FIFA World Cup.
• The final match of the FIFA World Cup 2018 was played between France and Croatia.
• France defeated Croatia in the final and claimed their second World Cup.
• England's Harry Kane became the top scorer in the tournament with 6 goals and won the Golden Boot Award.
• France’s Kylian Mbappe won the Young Player award in the tournament.
• The official mascot of the FIFA World Cup 2018 was Zabivaka.
• The official song of the tournament was “Live It Up”.
• FIFA World Cup 2022 is scheduled to be held in Qatar in 2022.

​

The correct answer is Article 43.

Key Points

• Article 43 says that the State shall endeavour to secure, by suitable legislation or economic organization or in any other way, to all workers, agricultural, industrial or otherwise, work, a living wage, conditions of work ensuring a decent standard of life and full enjoyment of leisure and social and cultural opportunities and, in particular, the State shall endeavour to promote cottage industries on an individual or co-operative basis in rural areas.

​

Additional Information

• The Directive Principles of State Policy are enumerated in Part IV of the Constitution from Articles 36 to 51.

• The framers of the Constitution borrowed this idea from the Irish Constitution of 1937, which had copied it from the Spanish Constitution.

• The phrase ‘Directive Principles of State Policy’ denotes the ideals that the State should keep in mind while formulating policies and enacting laws.

• On the basis of their content and direction, they can be classified into three broad categories, viz,

• Socialistic,

• Gandhian and

• Liberal-intellectual.

• Article 38 says that to promote the welfare of the people by securing a social order permeated by justice–social, economic, and political and to minimize inequalities in income, status, facilities, and opportunities.

• Article 39 says that to secure

• the right to adequate means of livelihood for all citizens;

• the equitable distribution of material resources of the community for the common good;

• prevention of concentration of wealth and means of production;

• equal  pay for equal work for men and women;

• preservation of the health and strength of workers and children against forcible abuse; and

• opportunities for the healthy development of children.

• Article 41 says that to secure the right to work, to education, and to public assistance in cases of unemployment, old age, sickness, and disablement.

The correct answer is 60 billion.

Key Points 

• Scientists have developed the world’s fastest rotor, which will help in studying quantum mechanics.
• The rotor can spin at more than 60 billion revolutions per minute, making it the world’s fastest man-made object.
• It is more than 100,000 times faster than a high-speed dental drill.
• The fastest rotor has many applications, including material science as it can help the survivability of different materials in extreme conditions.
• It can also help in learning about vacuum friction and gravity, as understanding these mechanisms is one of the essential goals for modern physics.
• This study has been done by Purdue University in West Lafayette.
• In a more advanced version, it can be used to study things like quantum mechanics (fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles) and properties of vacuum.

The correct answer is Paris.

• European Space Agency's headquarters are located in Paris, France.
• The European Space Agency (ESA) is Europe’s gateway to space.
• Its mission is to shape the development of Europe’s space capability and ensure that investment in space continues to deliver benefits to the citizens of Europe and the world.
• ESA is an international organisation with 22 Member States.
• By coordinating the financial and intellectual resources of its members, it can undertake programmes and activities far beyond the scope of any single European country.
• Its purpose is to provide for and to promote, for exclusively peaceful purposes, cooperation among the European States in space research and technology and their space applications.
• In short, ESA’s job is to draw up the European space programme and carry it through.
• ESA's programmes are designed to find out more about Earth, its immediate space environment, our Solar System and the Universe.

Additional Information

• Space agency of
• Vienna is the Austrian Space Agency.
• Brussels is European Space Agency.
• London is United Kingdom Space Agency.

The correct answer is Ulaanbaatar.

Key Points

• Mongolia is a landlocked country in East Asia.
• It is sandwiched between Russia to the north and China to the south, where it neighbors the Inner Mongolia Autonomous Region.
• It covers an area of 1,564,116 square kilometers, with a population of just 3.3 million, making it the world's most sparsely populated sovereign nation.
• Mongolia is the world's largest landlocked country that does not border a closed sea, and much of its area is covered by grassy steppe, with mountains to the north and west and the Gobi Desert to the south.
• Ulaanbaatar, the capital and largest city, is home to roughly half of the country's population.

Additional Information

The correct answer is 21^st Constitutional Amendment Act, 1967.

• The Sindhi language was added in the 8^th schedule by the 21^st Amendment Act of 1967.
• The Eighth Schedule lists languages that the Government of India has the responsibility to develop.
• The Eighth Schedule to the Constitution originally included 14 languages.
• The 71^st Amendment, enacted in 1992, included three more languages, i.e. Konkani, Meitei (Manipuri), and Nepali.
• The 92^nd Amendment, added Bodo, Dogri, Santhali, and Maithali in 2003, raising the total number of languages to 22.

Additional Information

• There are 22 languages that have been recognized in the eighth schedule of the Indian constitution.
• Part XVII of the Indian constitution deals with the official languages of India from articles 343 to 351.
• Originally, only 14 languages were mentioned and later, after several amendments, the other languages were added.
• Konkani, Manipuri, and Nepali were added by the 71^st Amendment Act of 1992.
• Bodo, Dongri, Maithili, and Santhali were added by the 92^nd Amendment Act of 2003.
• In all the 22 official languages the Hindi language is spoken by most Indians.

The correct answer is Australia.

• The Indian Air Force participated in Exercise Pitch Black 2018 (PB-18), a three-week multinational drill scheduled from July 24, 2018, in Australia.
• Ex Pitch Black is a biennial large force employment warfare exercise hosted by the Royal Australian Air Force (RAAF).
• It aimed to undertake simulated air combat exercises in a controlled environment and mutual exchange of best practices towards enhancing IAF's operational capability.
• The multilateral exercise featured a range of realistic, simulated threats found in modern and dynamic battle-space environment.
• It provided an opportunity to test and improve our force integration, utilising one of largest training airspace areas in the world.

​

 Exercise Pitch Black

• It is a biennial warfare exercise hosted by Royal Australian Air Force (RAAF).
• It is normally held in Northern Australia, primarily at RAAF Bases Darwin and Tindal.
• The aim of the exercise is to practice Offensive Counter Air (OCA) and Defensive Counter Air (DCA) combat, in a simulated war environment.
• It traditionally consists of red team and blue team based at separate locations, with one attacking the other.
• The first Pitch Black exercises took place in 1981 between different RAAF units.
• Capital of
• United States- Washington, D.C
• France- Paris
• Australia- Canberra
• Germany- Berlin

The correct answer is 13^th

Key Points

• Until 2018 Novak Djokovic had won 13 Grand Slams.

• Novak Djokovic is the only player in history to have at least 9 semifinals in all four Grand Slams.

• He joined Bjorn Borg and Laurence Doherty as a five-time Wimbledon titlist.

• With 48 Grand Slam quarter-final appearances, Novak is second on the all-time list, in front of him is only Roger Federer with 57.

• Currently, as of 2021, Novak is only the third man in the history of the sport to have won at least 18 Grand Slam titles.

Additional Information

 All information as of June 2021

The correct answer is Gujrat.

• Kakarpara Project is the irrigation project of Gujrat.
• It is situated on the Tapti near Kakrapara, 80 km upstream of Surat.
• The project is financed by the Gujarat Government.
• The River valley projects are constructed to meet several objectives simultaneously or tackle various problems associated with river valleys in an integrated manner.
• The basic motive behind the construction of multipurpose river valley projects in India is to meet the critical requirements of irrigation for agriculture, electricity for industries and flood control.

Additional Information

• Dams in 
• Tamil Nadu- Vaigai Dam, Mettur Dam
• Karnataka- Kodasalli Dam, Narayanpur dam, Krishna Raja Sagara Dam, Supa dam
• Gujrat- Ukai dam, dharoi dam, kadana dam
• Andhra Pradesh- Somasila dam, Srisailam Dam

The correct answer is Karnataka.

Key Points

• Lambi dance is from Karnataka.
• Folk dances in India represent the culture and tradition of the community from where they originated.
• Folk dances are usually performed during the respective community’s celebration- childbirth, festivals, weddings, etc.

Additional Information

Folk dances:

The correct answer is Axis Bank.

Key Points

• The Union Finance Ministry is planning not to infuse additional capital of about ₹11,336 crore in Axis bank by the end of September 2018.

Additional Information

• Axis Bank Limited is an Indian private sector bank headquartered in Mumbai, Maharashtra.
• It sells financial services to large and mid-size companies, SMEs and retail businesses.
• The bank offers lending services to individuals and small businesses, along with liability products, card services, Internet banking, automated teller machines (ATM) services, depository, financial advisory services, and Non-resident Indian (NRI) services.
• Headquarters of

The correct answer is Pratiloma Marriage.

Key Points

• Pratiloma Marriage is a type of marital practice in which a man of lower class/caste/varna marries a girl of higher class/caste/varna.
• Such cases of Shudra-Aryan connections are also recorded in the Vedic texts.
• Some Dharmashastrakaras had even permitted the practice of “pratiloma” while many condemned it.
• By the time of Dharmashastras, greater disapproval was shown towards this practice.
• Even here, the marriage of a Brahmin / Kshatriya / Vaishya girl with Shudra boy was more despised, than the marriage of a Brahmin girl with a Kshatriya / Vaishya boy.

Additional Information

• Asura Marriage- When a man (groom) carries away a woman (bride or maiden) after giving wealth as may be sought by her father on the plea to recover the money spent on her upbringing, it is called Asura marriage.
• Hypergamy Marriage- It is for the act or practice of a person marrying a spouse of a higher caste or social status than themselves.
• Gandharva Marriage- It is a method of marriage where the woman chooses her own husband.

The correct answer is Sarod.

Key Points

• Pandit Buddhadev Dasgupta passed away in Kolkata at the age of 84 in 2018.
• He was born in Bhagalpur in Bihar on 1^st February, 1933.
• He has conferred the Padma Bhushan award in 2012.

Additional Information

The correct answer is 7.3%.

Key Points

• The International Monetary Fund forecasted a growth rate of 7.3% for India in the year 2018 and that of 7.4% in 2019.

• In 2017, India had clocked a 6.7% growth rate.

• The International Monetary Fund (IMF) has trimmed India’s growth projection by 0.1 percentage point for 2018-19 owing to high oil prices and a tight monetary policy regime.

• United Nations raises global economic growth forecast to 5.4% in 2021.

• For 2022, the U.N. forecast that the global economy will grow by about 4.7% is higher than the IMF's projection of 4.4%.

• The Indian economy is expected to grow by 12.5% in 2021 and 6.9% in 2022.

Additional Information

• International Monetary Fund: (as of June 2021)
• Established: 1944
• Current Managing Director: Kristalina Georgieva
• Headquarter: Washington, D.C.

The correct answer is Part IV A.

Key Points

• The Fundamental Duties are set out in Part IV A of the Constitution of India.
• The Fundamental Duties are the statutory duties and NOT enforceable by law.
• The Constitution of India adopted the Fundamental Duties from the Constitution of Russia (former USSR).
• The Fundamental Duties were added to the Constitution on the recommendations of the Swaran Singh Committee of 1975.
• The Fundamental Duties were added in the year 1976.

Additional Information

• Originally 10 Fundamental Duties were added.
• The 11^th Constitutional duty was added by the 86^th constitutional amendment act, 2002.
• According to Article 51A, it shall be the duty of every citizen of India:

1. To abide by the Constitution and respect its ideals and institutions, the National Flag and the National Anthem;
2. To cherish and follow the noble ideals that inspired the national struggle for freedom;
3. To uphold and protect the sovereignty, unity and integrity of India;
4. To defend the country and render national service when called upon to do so;
5. To promote harmony and the spirit of common brotherhood amongst all the people of India transcending religious, linguistic and regional or sectional diversities and to renounce practices derogatory to the dignity of women;
6. To value and preserve the rich heritage of the country’s composite culture;
7. To protect and improve the natural environment including forests, lakes, rivers and wildlife and to have compassion for living creatures;
8. To develop scientific temper, humanism and the spirit of inquiry and reform;
9. To safeguard public property and to abjure violence
10. To strive towards excellence in all spheres of individual and collective activity so that the nation constantly rises to higher levels of endeavour and achievement; and
11. To provide opportunities for education to his child or ward between the age of six and fourteen years. This duty was added by the 86^th Constitutional Amendment Act, 2002.

The correct answer is Gerhard Domagk.

• Gerhard Domagk invented Sulfa drugs.
• The sulfa drug, also called sulfonamide, any member of a group of synthetic antibiotics containing the sulfanilamide molecular structure.
• Sulfa drugs were the first chemical substances systematically used to treat and prevent bacterial infections in humans.
• The antibacterial effects of sulfonamides were first observed in 1932 when German bacteriologist and pathologist Gerhard Domagk noted the effects of the red dye Prontosil on Streptococcus infections in mice.
• These drugs have a variety of uses and can be classified into antibiotics and non-antibiotic drugs.
• Sulfonamide-containing drugs are frequently implicated in allergic and non-allergic reactions.

Additional Information

• Robert Koch- He is a German physician and microbiologist. As the discoverer of the specific causative agents of deadly infectious diseases including tuberculosis, cholera, and anthrax, he is regarded as one of the main founders of modern bacteriology.
• F. G. Hopkins- He is an English biochemist who was awarded the Nobel Prize in Physiology or Medicine in 1929, with Christiaan Eijkman, for the discovery of vitamins, even though Casimir Funk, a Polish biochemist, is widely credited with discovering vitamins.
• Roland Ross- He is a British medical doctor who received the Nobel Prize for Physiology or Medicine in 1902 for his work on the transmission of malaria, becoming the first British Nobel laureate, and the firstborn outside Europe.

The correct answer is 24^th

Key Points

• Vardhamana Mahavira:

• Vardhamana Mahavira was the 24^th Tirthankara of the Jain tradition.

• He was born at Kundagrama near Vaisali to Kshatriya parents Siddhartha and Trisala.

• Bimbisara was the contemporary of Vardhamana Mahavira.

• At the age of thirty, he became an ascetic and wandered for twelve years.

• In the 13^th year of his penance, he attained the highest spiritual knowledge called Kevala Gnana.

• Teachings of Mahavira -

• The three principles of Jainism, also known as Triratnas (three gems), are:

• Right faith

• Right knowledge

• Right conduct.

• Mahavira regarded all objects, both animate and inanimate, have souls and various degrees of consciousness.

• He advocated a very holy and ethical code of life.

• Even the practice of agriculture was considered sinful as it causes injury to the earth, worms, and animals.

Additional Information

The correct answer is 2 crore.

Key Points

• Odisha Chief Minister Naveen Patnaik has launched the Green Mahanadi Mission.
• It is a plantation drive under which over two crore trees will be planted along the rivers in the state on the Mahanadi river basin.
• A total of more than five crore saplings will be planted over an area of 41,000 hectares.
• The objective of the mission is to stop soil erosion on river banks and recharge the groundwater reserve.
• The volunteers will plant fruit-bearing trees like mango, jackfruit & Jamun within a 1 km radius of the river bank.

Additional Information

• Odisha (as of July 2021)
• CM: Naveen Patnaik
• Governor: Ganeshi Lal
• State flower: Ashoka
• State tree: Ashwatha (Sacred Fig)
• State Animal: Sambar deer
• 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.

Given:

Speed of the boat in still water = 7 km/h

Time to cover 4.5 km upstream and downstream = $\frac{7}{5}$ hours

Formula used:

Speed = Distance/Time

Upstream = Speed of boat - Speed of stream

Downstream = Speed of boat + Speed of stream

Calculation:

Let the speed of the stream be x km/h

Speed in upstream = 7 - x km/h

Speed in downstream = 7 + x km/h

According to the question

$\dfrac{4.5}{7 \ - \ x} + \dfrac{4.5 }{7 \ + \ x } = \dfrac{7}{5}$

⇒ $\dfrac{4.5(7 \ + \ x\ + \ 4.5(7 \ - \ x) }{7^2 \ - \ x^2 } = \dfrac{7}{5}$

⇒ $\dfrac{31.5 \ + \ 4.5x\ + \ 31.5 \ - \ 4.5x}{7^2 \ - \ x^2 } = \dfrac{7}{5}$

⇒ 63 × 5 = 343 - 7x²

⇒ 7x² = 343 - 315

⇒ x² = 4

⇒ x = 2

∴ The speed of the stream is 2 km/h

Given:

$\dfrac{(78)^3 - (56)^3 - (12)^3 - 78 \times 36 \times 56}{(7.8)^2 + (5.6)^2 + (1.2)^2 + 7.8 \times 5.6 - 5.6 \times 1.2 + 1.2 \times 7.8}$

Formula used:

a³ - b³ - c³ - 3abc = (a - b - c)(a² + b² + c² + ab - bc + ca )

Calculation:

Let a = 78, b = 56 and c = 12

So,

$\dfrac{(a)^3 - (b)^3 - (c)^3 - 3 × \ a × b × c}{\frac{1}{100}[(a)^2 + (b)^2 + (c)^2 + a × b \ -\ b × c \ +\ c × a]}$

⇒$\dfrac{(a \ - \ b \ - \ c)(a^2 \ +\ b^2 \ + \ c^2 \ + \ ab \ -\ bc \ + \ ca )}{\frac{1}{100}[a^2 + b^2 + c^2 + a b \ -\ b c \ +\ c a]}$

⇒ 100 × (a - b - c)

⇒ 100 × (78 - 56 - 12)

⇒ 100 × 10 = 1000

∴ The correct answer is 1000.

Given:

The average speed of a train without stoppages is 80 km/hr

The average speed of a train with stoppages is 68 km/hr

Formula Used:

Distance = Speed × Time

Calculation:

Without stoppages, in 1 hr train covers 80 km.

With stoppages, in 1 hr train covers 68 km.

Thus, the average speed of the train is reduced by 80 - 68 = 12 km

So the time taken to cover 12 km is now actually used up at stoppages.

⇒ Time is taken to cover 12 km = $\frac{{12}}{{80}} × 60$ minutes = 9 minutes

∴ The train stops for 9 minutes in an hour on average.

Given:

The perimeter of the cuboid = 23 cm

The length of the diagonal of the cuboid is 3√21 cm

Formula used

Total surface area of cuboid = 2(lb + bh + lh)

Diagonal of a cuboid = $\sqrt{{l^2} + {b^2} + {h^2}}$

(a + b + c)² = a² + b² + c² + 2(ab + bc + ca)

Calculation:

The sum of length, breadth, and height of a cuboid is 23 cm. 

L + B + H = 23

Diagonal of cuboid = $\sqrt{{l^2} + {b^2} + {h^2}}$

⇒ (3√21)² = l² + b² + h²

⇒ 189 = (l + b + h)² - 2(lb + bh + lh)

⇒ 189 = 23² - 2(lb + bh + lh)

⇒ 2(lb + bh + lh) = 529 - 189  = 340 cm²

∴ Total surface area of cuboid = 340 cm²

Given:

By Selling 40 article gain cost price of 4 article

Formula used:

Gain = Selling Price(SP) - Cost Price(CP)

Gain% = (Profit/CP) × 100

Calculation:

The person bought 40 articles and sold 40 article

According to the question

SP of 40 - CP of 40 = 4 CP

Gain = 4 CP

Gain% = (4/40) × 100 = 10%

∴ The gain per cent is 10%

Given:

The remainder is 8 in each case when the number is divided by 12, 28 and 33

Concept: 

The least number which is divisible by all given numbers will be LCM of given numbers.

Calculation:

L.C.M of 12, 28 and 33 = 924

In each case, the remainder is 8

The greatest 4 digits number is = 9999

9240 is divisible by 9240

The number is 9240 + 8 = 9248

The sum of its digit = 9 + 2 + 4 + 8 = 23

∴ The sum of the digits is 23.

Given:

Rate of interest = 8%

Rate of interest increases by 0.4 subsequent year

Payable amount = Rs. 8428

Calculation:

Let the load be Rs. x

Interest for 1^st year = 8%

Interest for 2^nd year = 8.4%

Interest for 3^rd year = 8.8%

Interest for 4^th year = 9.2%

Now,

x × (8 + 8.4 + 8.8+ 9.2)/100 = 8428

⇒ x × (34.4)/100 = 8428

⇒ x = 8428 × (100/34.4)

⇒ x = Rs. 24500

∴ The loan was Rs. 24500

Given:

Marked Price (MP) = 140%

He sells 50% of his stock at the marked price

20% stock at 20% discount 

And remaining at 25% discount on the marked price

Formula used:

Profit% = (profit/CP) × 100

SP = MP × (100 - discount%)/100

Calculation:

Let the trader bought 100 goods at each price of Rs. x

Total C.P = Rs. 100x

MP of each article = 1.4x

He sold 50 article at MP

His profit is (1.4x - x) × 50 = 20x

He sold 20 article at 20% discount

SP = 1.4x × (80/100) = 1.12x

His profit is (1.12x - x) × 20 = 2.4x

He sold remaining 30 article at 25% discount

SP = 1.4x × (75/100) = 1.05x

His profit is (1.05x - x) × 30 = 1.5x

Total profit = 20x + 2.4x + 1.5x = 23.9x

Profit% = (23.9x/100x) × 100 = 23.9%

∴ The over all profit is 23.9%

Given:

Per cent of passed students in Mathematics = 65% 

Per cent of passed students in Physics = 75% 

Failed in both the subjects = 18% 

The total number of students is 400

Concept used:

(A ∪ B) = (A) + (B) – (A ∩ B)

(A ∪ B) → Total

(A) → Part of A

(B) → Part of B

(A ∩ B) → The common part of A and B 

Calculations:

The number of students passed in at least one subject = 100 - 18 = 82%

Students passed in at least one subject (A ∪ B) = 82%

Students passed in Mathematics (A) = 65%

Students passed in Physics (B) = 75%

Students passed in both subjects = (A ∪ B)

82% = 65% + 75% - (A ∪ B)

⇒ (A ∪ B) = 140% - 82% = 58%

Now, 58% of 400 students

400 × (58/100) = 232

∴ The number of students passed in both subjects is 232.

Given:

Principal(P) = Rs. 4800

Time (t) = 2 years

Difference between simple interest and compound interest = Rs. 30.72

Formula used:

Compound Interest(CI) = $P(1 + \dfrac{r}{100})^t$

Amount(A) = $\dfrac{(P \ \times \ r \ \times \ t)}{100}$

Simple Interest(SI) = A - P

$Compound\ interest - Simple\ interest = P{\left( {1 + \frac{r}{{100}}} \right)^t} - p - \frac{(P \ \times \ r \ \times \ t)}{100}$

Where r is Rate of Interest

Calculation:

Apply the above formula

$30.72 = 4800{\left( {1 + \dfrac{r}{{100}}} \right)^2} - 4800 - \dfrac{{4800 \ \times \ r\ \times 2}}{{100}}$

⇒ $30.72 = 4800[{\left( {1 + \dfrac{r}{{100}}} \right)^2} - 1 - \dfrac{{2r}}{{100}}]$

⇒ $30.72 = 4800[{ {1 + (\frac{r}{{100}}}) ^2} + \frac{2r}{{100}} - 1 - \frac{{2r}}{{100}}]$

⇒ $30.72 = 4800 \times (\frac{r}{{100}}) ^2$

⇒ r² = 64

⇒ r = 8

∴ The rate of interest is 8%.

Given:

HCF = 15

LCM = 480

Formula used:

HCF × LCM = product of two numbers

Calculation:

Let the number be 15a and 15b

15a × 15b = 15 × 480

⇒ ab = 7200/225

⇒ ab = 32

Now we will check for co-prime factors for the 32

(1, 32) (2, 16) and (4, 8)

There is only one pair (1, 32) which is co-prime

So the number will be

15a = 15 × 1 = 15

15b = 15 × 32 = 480

Sum of their reciprocal

$\dfrac{1}{15} \ + \ \dfrac{1}{480} = \dfrac{32 \ + \ 1 }{480}$

⇒ $\dfrac{33}{480} = \dfrac{11}{160}$

∴ The sum of their reciprocal is $\frac{11}{160}$

Given:

a : b = 4 : 5

b : c = 3 : 8

Concept used:

Calculation:

a : b = 4 : 5

b : c = 3 : 8

a : b : c = 4 × 3 : 5 × 3 : 8 × 5

⇒ a : b : c = 12 : 15 : 40

Now, 3a : 4b : 6c

⇒ 3 × 12 : 4 × 15 : 6 × 40

⇒ 3 : 5 : 20

∴ 3a : 4b : 6c = 3 : 5 : 20

Given:

Sides of a triangle = 12 cm, 35 cm and 37 cm

Formula used:

Area of a triangle = $√{s(s \ - \ a)(s \ - \ b)(s \ - \ c)}$

Semiperimeter(s) = $\dfrac{a \ + \ b \ + \ c}{2}$

Area of a right angle triangle = 1/2 × Base × Altitude

Calculation:

The semiperimeter of the triangle is

$\dfrac{12 \ + \ 35 \ + \ 37}{2}$ = 42

Area of the triangle

= $√{42(42 \ - \ 12)(42 \ - \ 35)(42 \ - \ 37)}$

⇒ $√{42\ × \ 30 \ × \ 7 \ × 5}$ = √44100 = 210 cm²

As we know 37, 35 and 12 are triplets and form a right angle triangle

The shortest altitude will be on Hypotenuse

210 = 1/2 × 37 × Altitude

⇒ Altitude = 420/37 = 11.35 ≈ 11.4 cm

∴ The shortest altitude is 11.4 cm

Given:

A can do a piece of work in 12 days

B can do a piece of work in 20 days

Formula used:

Work done = Time × Efficiency

Calculation:

B worked for 12 days, work done by B in 12 days

3 × 12 = 36 units

Rest of the work completed by A and B

⇒ 60 - 36 = 24

A and B worked for

⇒ 24/(3 + 5) = 24/8 = 3 days

∴ A left after 3 days.

Given:

Gold in the alloy is 80%

Calculation:

The quantity of gold in 50g of alloy

50 × 80/100 = 40g

The quantity of gold changed to 75%

75% = 40g

⇒ 100% = (40/75) × 100 = 160/3

Quantity added

$\frac{160}{3} \ - \ 50$

⇒ $\frac{160 \ - \ 150}{3}$ = $\frac{10}{3}$g

∴ The $\frac{10}{3}$g will be added.

Given:

$1 + \dfrac{1}{1+ \dfrac{1}{2+\dfrac{3}{1+ \dfrac{4}{5}}}}$

Calculation:

$1 + \dfrac{1}{1+ \dfrac{1}{2+\dfrac{3}{1+ \dfrac{4}{5}}}}$

⇒ $1 + \dfrac{1}{1+ \dfrac{1}{2+\dfrac{15}{5 \ + \ 4 }}}$

⇒ $1 + \dfrac{1}{1+ \dfrac{9}{18+15}}$

⇒ $1 + \dfrac{33}{33 \ + \ 9}$

⇒ $\dfrac{42 \ + \ 33}{42}$

⇒  $\dfrac{75}{42} = \dfrac{25}{14}$

∴ The after solving we get $\dfrac{25}{14}$

Given:

2 men can complete the work in 48 hours

3 boys can complete the same work in 48 hours

Formula used:

Work done = Time × Efficiency

M₁ × T₁ = M₂ × T₂

Where M is the number of men

T is time

Calculation:

According to the question

2M × 48 = 3B × 48

⇒ M/B = 3/2

Total work = 2 × 3 × 48 = 288

The efficiency of 4 men and 2 boys

4 × 3 + 2 × 2 = 12 + 4 = 16

Time to complete the work

288/16 = 18 hours

∴ 4 men and 2 boys will complete the work in 18 hours.

Given:

The average sale of shops A, B, C, D and E = 840

Formula used:

Average = Sum of observation/Total number of observation

Calculation:

Total sum of their sale

840 × 5 = 4200

Total sale of shops A, B, C and D

860 + 760 + 1380 + 820 = 3820

Sale of shop E = 4200 - 3820 = 380

∴ The sale of shop E is 380

Formula used:

Percentage = (Part value/Whole value) × 100

Calculation:

Total sale of shops A and B = 860 + 760 = 1620

Total sale of shops A, B, C and D = 860 + 760 + 1380 + 820 = 3820

Required percentage = (1620/3820) × 100 = 42.4%

∴ The required percentage is 42.4%

Given:

Sale of shop E = 380

Calculation:

Total sale of shops A, B, C, D and E is

860 + 760 + 1380 + 820 + 380 = 4200

4200 = 360°

⇒ 760 = 360° × (760/4200)

⇒ 760 = 65.14° ≈ 65°

∴ The central angle fo E is 65°

The correct answer is 'Despite heavy rains'.

Key Points

• To connect two contrasting ideas in a sentence, 'Despite', 'Inspite of', 'Although' and 'Even though' are used.
• They are used to show that one fact makes the other fact surprising. They can all be used at the beginning or in the middle of the sentence.
• Let's explore their structure:
• Despite+ gerund
• Example: Despite having a headache, I had a great birthday.
• In spite of+ noun
• Example: In spite of the pain in his leg, he completed the marathon.
• Although/ Eventhough+ subject+ verb
• Example: 
• Although we saw each other every day, we didn't really know each other.
• Even though she spoke very quietly, he understood every word.
• Thus, from the above-given explanation, we can say that 'Despite heavy rains' will be used in the blank.

Therefore, the correct answer is: 'Despite heavy rains, the attendance in schools didn't drop.'

The correct answer is 'will be preparing to leave Hyderabad.'

Key Points

• The given sentence is in future continuous tense.
• Future continuous tense: It is used to indicate that something will occur in the future and continue for an expected length of time.
• Structure:
• Subject+ will/shall+ be+ -ing form of verb.
• Example: Don't call me between 8 and 9 A.M, I shall be teaching.
• Thus, from the above-given explanation, 'will be preparing to leave Hyderabad' will be used in the blank.

Therefore, the correct sentence is: 'When we meet him Monday at 4PM he will be preparing to leave Hyderabad.'

The correct answer is There's always light at the end of the tunnel.

Key Points

• Let's understand the structure of a complete sentence: 
• The subject can be a Noun/Pronoun/Gerund.
• The verb of the sentence, i.e., an auxiliary verb (helping verb) or the main verb.
• The object of the sentence and can be a Noun/Pronoun/Gerund.
• The prepositional phrase, i.e., preposition + noun (prepositional object.
• Example: He asks the policeman for directions. 

(‘He’ is a subject, ‘asks’ is the main verb, ‘the policeman’ is an object, and ‘for directions’ is a prepositional phrase.)

From the above information, we can say that grammatically complete sentence is: There's always light at the end of the tunnel.

The correct answer is Unless.

Key Points 

• We use the conjunction unless to mean except if.
• The clause that follows is subordinate and needs the main clause to make a complete sentence.
• When unless comes before the main clause, we use a comma:
• Example: Unless it rains, we’ll go to a movie by the river tomorrow.
• When the main clause comes first, we don’t need a comma:
• Example: They won’t come unless you invite them.

​From the above rules, the grammatically correct conjunction to fits the blank is: Unless he reforms himself, no one is going to trust him.

The correct answer is to accomplish.

Key Points

• The blank should be filled with the simple infinitive form of the verb.
• Simple infinitive refers to the same time as that of the preceding verb.
• The structure of the simple infinitive form is: to + base form of the verb
• Example*: I would love to learn belly dancing.*
• The only grammatically correct infinitive form is to accomplish.

Hence, the complete sentence is: He has to accomplish his goals.

The correct answer is behind.

Key Points

• The correct preposition to fill the blank is behind.
• Let's understand the usage of preposition behind: at the back of someone or something
• Examples:
• The teacher was standing behind me, looking over my shoulder.
• Some papers had fallen behind the cupboard.
• ​The given sentence talks about the subject He is at the back of someone in the queue.

Hence, the complete sentence is: He was behind me in the queue.

The correct answer is 'Since he's lost his money, he couldn't go to the restaurant'.

Key Points

• 'Since' as a conjunction is used to express the reason and result of something.
• Example: Since you're not interested, I won't tell you about it.
• Now let's explore the options:
• In option 2, it is expressing two contrasting ideas therefore, the usage of the conjunction 'since' is incorrect.
• In option 3, the error lies in the usage of the pronoun 'he'. It is used twice which is incorrect, we need a possessive pronoun in place of 'he'.
• In option 4, the error lies in the usage of the verb 'loss'. The auxiliary verb 'has' is used in the present perfect tense and it is used with the third form of the verb. Therefore, 'loss' needs to be replaced with 'lost'.
• Option 1 is correct as it follows the correct grammatical structure.

Additional Information

• Pronoun: Pronouns are part of speech which are used to replace nouns in the sentence. They are used to avoid repetition in the sentence.
• Example: Naveen is planning a trip to Goa. He is very excited about this trip.
• Auxiliary verb: Auxiliary verbs are verbs used in forming the tenses, moods, and voices of other verbs, such as 'is/are', 'has/have', etc.
• Present perfect tense: It is a tense which is used to express an action that started in past, finished in past but has a relation with present.
• Structure: Subject+ has/have+ the third form of verb.
• Example: He has finished his work.

The correct answer is Developed.

Key Points

• Designed: to decide how something will be made, including how it will work and what it will look like.
• Example: Rimjhim wore a grey silk dress that she designed herself.
• Developed: to grow slowly, increase, or change into something else; to make somebody/something do this.
• Ex: Priya developed her dress sense.

Hence, the synonym of designed is developed.

Additional Information

• Reasoned: to form a judgment or an opinion after thinking about something in a logical way
• Renovated: to repair an old building and put it back into good condition
• Prevented​: to stop something happening or to stop somebody doing something

The correct answer is 'Doesn't he?'

Key Points

• Question tags: Question tags are short questions at the end of statements. They are mainly used in speech when we want to:
• confirm that something is true or not, or
• to encourage a reply from the person we are speaking to.
• They are formed with the auxiliary or modal verb from the statement and the appropriate subject.
• A positive statement is followed by a negative question tag while a negative statement is followed by a positive question tag.
• Example: 
• Jack is from Spain, isn't he?
• They aren't funny, are they?
• The given sentence is in Simple present tense.
• Simple present tense: Simple present tense is used when an action is happening right now, or when it happens regularly.
• Structure:
• Subject+ do/does+not+ first form of verb or Subject+ V1(s/es)
• Example: He plays cricket.
• Therefore, from the above-given explanation, it is clear that the correct auxiliary verb for simple present tense is 'does/do' and therefore question tag for the given sentence will use 'does'. Since the sentence is positive the question tag will be negative.
• Thus, 'Doesn't he?' will be used in the blank.

Therefore, the correct answer is: 'He plays soccer so well, doesn't he? '

The correct answer is 'DCABE'.

Key Points

• Statement D will the first in sequence as it introduces the subject i.e. 'Eating out'.
• Statement C will follow statement D, as it explains the trend that is being followed nowadays.
• Statement A will follow statement C, as it explains the alternative to eat healthy and hygienic food i.e. 'Home food'.
• Statement B will follow statement A, as it suggests the habit that should be in practice regarding food habit to keep one healthy and fit.
• Statement E will follow statement B, as it concludes the sentence.

Thus, the correct sequence is: DCABE.

• Sequence
• D: Eating out has become a common practice now a days.
• C: However, hygienic food is not served at every eatery.
• A: Home food is certainly the best option to eat hygienic food.
• B: Therefore, occasionally eating outside out is advisable, not regularly.
• E: To conclude, those who eat out on a regular basis are at risk of various ailments

The reported speech of the given sentence is 'enquired whether it would rain that day​'

Key Points

The given sentence is an interrogative sentence.                           

• While changing the narration of an interrogative sentence, we need to follow the given steps-
• Replace comma (,) and inverted commas (" ") with the conjunction 'whether'. (If a direct speech sentence begins with an auxiliary verb/helping verb, the joining clause should be if or whether.)
• Change 'said' in reporting clause into 'enquired'. (Reporting verbs such as ‘said/ said to’ changes to enquired, asked, or demanded.)
• Today' is changed into 'that day'.
• 'Will' is changed into 'would'.

The final sentence- The tourist enquired whether it would rain that day.

• In direct speeches, the words that express nearness in time or place are changed to words that express distance in indirect speech. Such as :
• Now becomes then
• Today becomes that day
• Tomorrow becomes the next day

The correct answer is Silent.

Key Points

• Boisterous: noisy, energetic, and rough
• Ex: The street market is boisterous.
• Silent: not making or accompanied by any sound
• Ex: Tears are the silent language of grief.
• Thus, the antonym of boisterous is silent.

Additional Information

• Huge: extremely large; enormous
• Posthaste: with great speed or immediacy
• Brisk: active and energetic

The correct answer is Besides.

Key Points

Let us explore the given options:

• The preposition 'beside' means at the side of; next to. (Beside mean the same thing. It usually refers to a thing (or person) that is at the side of another thing.)
• ​Ex: He walked beside me as we went down the street.
• The preposition 'within' means inside the range or limits of something.
• ​Ex: That question is not within the scope of this talk.
• The preposition 'below' means at or to a lower level or position than someone or something.
• ​Ex: He dived below the surface of the water.
• The preposition 'besides' means in addition to; apart from.
• Ex: Besides her role as a mother of three, Mary runs a charity and works part-time for her husband’s company.
• The correct option thus, is besides.

Complete Sentence: Besides Raj, no one was present in the room.

The correct answer is Deceit.

Key Points

• Honesty: the quality of being truthful
• Ex: Honesty is a virtue that must take firm foundation in us.
• Deceit: the action or practice of deceiving someone by concealing or misrepresenting the truth
• Ex: She won her promotion by deceit.
• Thus, the antonym of honesty is deceit.

Additional Information

• Intricate: having many complexly interrelating parts or elements
• Rough: having an uneven or irregular surface; not smooth or level
• Stingy: unwilling to spend money

The correct answer is exhibited.

Key Points

• Displayed: to arrange something or a collection of things so that it can be seen by the public
• Ex: Family photographs were displayed on the wall.
• Exhibited: publicly display (a work of art or item of interest) in an art gallery or museum or at a trade fair
• Ex: Only one sculpture was exhibited in the artist's lifetime.
• Thus, the synonym of displayed is exhibited.

Additional Information

• Heightened: to raise or increase the quantity or degree of; intensify
• Concealed: kept secret; hidden
• Paused: interrupt action or speech briefly