SSC GD Constable Previous Year Paper (Held on: 14th February 2019 Shift 1)

The pattern followed in question is pair of two alphabet is exchanging their position.

OOLOGY will become OOOLYG,

Similarly,

So OOOLYG will be correct answer.

Given Equation: 21 + 5 × 2 – 21 ÷ 3 = 12

1. • and -

After interchanging signs

LHS = 21 - 5 × 2 + 21 ÷ 3 = 21 – 10 + 7 = 18 ≠ RHS

2. – and ÷

After interchanging signs

LHS = 21 + 5 × 2 ÷ 21 – 3 = 21 + 0.476 – 3 = 18. 476 ≠ RHS

3) – and ×

After interchanging signs

LHS = 21 + 5 - 2 × 21 ÷ 3 = 21 + 5 – 14 = 12 = RHS

4. × and ÷

After interchanging signs

LHS = 21 + 5 ÷ 2 – 21 × 3 = 21 + 2.5 – 63 = - 39.5 ≠ RHS

Hence, “– and ×” is the correct answer.

The series is given below-

In every step, the figure is rotated be 90 degree anticlockwise, so option 1 will be the correct option.

Baht is the currency of Thailand and Yuan is the basic unit of currency renminbi of china.

Hence, the correct answer is option 3.

Proud and Haughty are the synonyms of each other in the same way Fallacy is the synonyms of Illusion.

So, correct answer will be Illusion.

The least possible Venn diagram is given below-

Conclusion:

I) Some volumes are Forces – True (Definite case)

II) Some volumes are currents – True (Definite case)

So, both conclusion I and conclusion II follows.

The pattern followed here are:

16 + (2)² = 20

20 + (4)² = 36

36 + (6)² = 72

72 + (8)² = 136

So, the answer will be 136.

The least possible Venn diagram is given below-

Conclusion:

I) All chairs are wines → False (It is possible but not definite, Hence false),

II. Some drums are wines → True (Definite case, All chair are Drum and Some Wine are Chair).

So, the correct option will be Only Conclusion II follows.

(1) A sit opposite to F and third to the right of B, so there will be two possibilities.

(2) G is between F and D and E is between A and C.

So, this is the final arrangement, F sits fourth left of A.

1. O, P, Q, R, S, T and U are watching a movie sitting in a row.

2. S is sitting at one of the extreme end.

3. Q is sitting second to the right of S.

4. P is sitting between O and Q.

5. R is sitting to the left of T.

6. U is not sitting at any extreme end.

So the correct answer will be U.

The logic followed here is:

In a column:

(1st number)² - (2nd number)² = 3rd number

Column 1: (6)² – (3)² = 36 – 9 = 27

Column 2: (7)² – (4)² = 49 – 16 = 33

Similarly, 

Column 3: 9, ?, 65

(9)² – (?)² = 65

81 - ?² = 65

?² = 81 - 65 = 16

? = 4

Hence, “4” is the missing number.

BICYCLE = 2 + 9 + 3 + 25 + 3 + 12 + 5 = 59

By adding the positional value of alphabets we get 59.

Similarly,

WINDOW = 23 + 9 + 14 + 4 + 15 + 23 = 88

So, the correct option will be 88.

The pattern follows here is:

Similarly,

So, the correct option will be DGM.

Hence, the correct answer is option 1.

Adding the positional values of letters, we get

ILP = 9 + 12 + 16 = 37

JHU = 10 + 8 + 21 = 39

FJU = 6 + 10 + 21 = 37

THI = 20 + 8 + 9 = 37

So, after adding possional value of letter we get the sum 37 except in JHU option B, so the right option will be option B.

Teachers: J, K, L, M, N and O

Subjects: Hindi, English, Math, Science, Social Science and Arts

1. J teaches Arts on Saturday.

2. L teaches neither Neither English nor Social Science, but he teaches on Thursday.

3. Wednesday is reserved for Maths taught by K.

4. O teaches Science a day before N.

5. Social Science is taught a day before Arts.

So, the right answer is English

Hence, the correct answer is option 2.

“Chapter” is related to “Book” in the same way “Arc” is related to “Circle”.

Hence, the correct answer is option 4.

Except Chile, all are the “capital of countries” where Chile is a country.

So, correct option will be Chile.

The correct answer is option 3.

After adding all digits in number we get 12 except in option 2.

6 + 5 + 1 = 12

5 + 7 + 1 = 13 (Not matched)

5 + 6 + 1 = 12

4 + 7 + 1 = 12

So the odd we get is 571.

The pattern follows here are:

So, The correct answer is JUT.

The mirror image is given below-

Hence, the correct answer is option 2.

The pattern followed here is:

Multiple of 11 is getting added after every term.

8 + 11 = 19

19 + 22 = 41

41 + 33 = 74

74 + 44 = 118,

So the correct option will be option 118.

Note: This question is SSC GD constable previous year paper and answer as per the official answer key. 

The pattern followed here is:

First term × 8 = Second term

32 × 8 = 256

Similarly,

16 × 8 = 128

So, the correct option will be 128.

The correct answer is Convection.

Key Points

• Convection is the process of heat transfer by the bulk movement of molecules within fluid such as gases & liquids.
• Type of convection: 
• Natural convection
• Forced convection
• Natural convection:
• When convection takes place due to buoyant force there is a difference in densities caused by the difference in temperature it is known as natural convection.
• Forced Convection: 
• An external source such as fans & pumps is used for creating induced convection, known as forced convection.
• One of the common examples of natural convection is Land & sea breeze.
• This phenomenon occurs during the day as land gets warmer quickly than the sea, the temp above the land rises and heats the surrounding air.
• Warm air is less dense, it expands and starts rising to create a low-pressure area over the land meanwhile there is relatively high pressure over the sea.
• The difference in pressure causes the air to flow from sea to land known as the Sea Breeze and Vice-versa in the night is known as Land breeze.

Additional Information

The correct answer is current deposit.

Key Points 

• The term current deposit refers to a deposit to a bank account or financial institution without a specified maturity date.
• These types of current deposit accounts generally only earn demand deposit interest.

The correct answer is Reserve Bank of India.

Key Points

• Bank Rate refers to the official interest rate at which RBI will provide loans to the banking system.
• Bank rate is used as a signal by the RBi to the commercial banks on RBI's thinking about what the interest rate should be.

Important Points

Monetary Tools of RBI:

Additional Information

The correct answer is Hindustani.

• Pandit Bhimsen Joshi also known as Pandit Bhimsen Gururaj Joshi (February 4, 1922 - January 24, 2011)
• He was the Hindustani classical vocalist.
• Member of Kirana Gharana.
• Known for Khayal form of singing.
• Award -
• Awarded Sangeet Natak Akademi Fellowship in 1998.
• Bestowed with Bharat Ratna in 2008.
• ​Hindustani classical music: It is the art music of northern regions of the Indian subcontinent.
• Qawwali: Qawwali or Qavvali is a form of Sufi Islamic devotional song, largely performed at Sufi shrines or dargah. Some famous qawwali singers are Aziz Mian, Nusrat Fateh Ali Khan, Rahat Fateh Ali khan etc.
• Thumri: It is a semi-classical form of Hindustani music. The word Thumri means "thumakna" i.e. to make dance-like movements, as a rule, it was written in lighter mood ragas like Pillu or Khamaj.
• It flourished under the regime of Wajid Ali Shah (Last & 11^th King Of Awadh).
• Carnatic: Carnatic music also known as Karnataka Sangitam is one of the styles of India classical music.
• Prominent Difference between Hindustani Music And Carnatic Music -

The correct answer is Hampi.

• Hampi also referred to as the Group of Monuments at Hampi, is a UNESCO World Heritage Site located in Karnataka.
• Few Temple list at Hampi:
• Virupaksha Temple
• The Stone Chariot
• Achyuta Raya Temple
• Hazara Rama Temple
• UNESCO: United Nations Educational, Scientific, and Cultural Organisation (UNESCO) is a specialised agency of the United Nations aimed at contributing 
• To the building of peace
• Eradication of poverty
• Sustainable development and intercultural dialogue through education, science, culture, communication, and information.
• Founded on 4 November 1945, London.
• Headquarter: Paris (France)

Temple Type in India-

• According to the Shilpa Shastra, the temples of India can be classified into three types,
• Nagara Style (North Indian Style)
• Dravidian Style (South Indian Style)
• Vesara Style (a hybrid of Northern & southern Style)
• The basic element of Hindu temple - 
• Garbhagriha
• Mandapa
• Shikhara or vimana
• Kalasha
• Temple Architecture in India -

• Difference between Nagara & Dravida Style Temple Architecture -

The correct answer is Krishna.

• The Nagarjuna Sagar Dam on River Krishna is considered to be the largest stone masonry dam in the world.
• Height: 124 meter
• Completed in 1967.
• River Krishna - 
• Krishna is the second largest east-flowing river on the peninsula.
• Its basin extends over Andhra Pradesh, Telangana, Maharashtra,& Karnataka.
• The Krishna river originates from the Western Ghats near Jor village of Satara district of Maharashtra.
• The total length of River Krishna is 1400km.
• Pamba - 
• 3rd longest river of Kerala.
• Length : 176km
• Sabrimala Temple dedicated to Lord Ayyappa is located on the bank of the river Pamba.
• Mahanadi - 
• 2^nd longest east-flowing peninsular river after the Godavari.
• Originates from the foothills of Dandakaranya in Raipur district of Chhattisgarh.
• Length: 900km
• Cauvery - 
• Originates at Talakaveri in the Brahmagiri range in Karnataka.
• Length: 800km
• Dam on Rivers -

The correct answer is option 3, i.e. Literature.

• Jnanpith Award is a literary award presented by the Bhartiya Jnanpith organization to Indian writers every year.
• The first Jnanpith award was given to G.Sankara Kurup (Malayalam) in 1965 for his novel "Odakkuzhal" (The Bamboo Flute).
• The winner is given a cash prize of Rs.11 lakh and a bronze replica of Goddess Saraswati, the Hindu goddess of learning.
• The first woman writer to be awarded this award was Ashapoorna Devi, a Bengali writer in 1976.
• Bhartiya Jnanpith organization was founded in 1944 by industrialist and philanthropist Sahu Shanti Prasad Jain.

Important Points

The correct answer is option 1, i.e. Gold Coast.

• The 2018 Commonwealth Games, officially known as the XXI Commonwealth Games, was an international multi-sport event for the members of the commonwealth that were held at Gold Coast, Queensland, Australia between 4 & 15 April 2018.
• There were 18 sports categories.

• Why It is called Commonwealth - 
• The Commonwealth is a collection of countries that are linked in some way to Great Britain, all apart from Mozambique.
• Since the Game started the game has taken place every four years except for 1942 and 1946, because of World war - II.

The correct answer is World Weightlifting Championships.

Key Points

• Mira bai Chanu is also known as "Saikhom Mirabai Chanu" won the gold medal in 2017 at the World Weightlifting Championships in Anaheim (United States of America).
• She won the Gold medal in the Women's 48kg category.
• Mirabai Chanu was awarded Rajiv Gandhi Khel Ratna in 2018.
• She was also honoured with Padam Shri in 2018.

The correct answer is Bijapur.

Key Points

• The Monument, built in the Indo - Saracenic style in 1659, is the mausoleum of Mohammad Adil Shah of the Adil Shahi dynasty which ruled the sultanate of Bijapur from 1490 to 1686.
• Its Circular dome is said to be the second-largest in the world after St. Peter Basilica in Rome.
• The central dome stands without any pillar support.

• Bidar: Served as the capital of Bahmani Sultanate.
• Daulatabad: Mohammad Bin Tuglaq formed 2^nd capital at Devagiri to control south India under the name of Daulatabad after 2 years, the sultan abandoned Daultabad & asked to return to Delhi.
• Hyderabad:

The correct answer is 105 per quintal.

MSP - MINIMUM SUPPORT PRICE - 

• MSP is the price at which the government purchases crops from the farmers.
• It is a form of market intervention by the Government of India to insure agricultural producers against any sharp fall in farm prices.
• The MSP was announced by the government of India for the first time in 1966-67 for wheat in the wake of the Green revolution.
• The MSP is recommended by the Commission for Agricultural Cost and Price (CACP) before the sowing seasons.
• The Cabinet has approved a Rs 105 per quintal hike in wheat MSP to Rs 1,840 for the 2018-19 season.
• The MSP of wheat was Rs 1,735 per quintal in the 2017-18 crop year.
• The MSP of wheat for the year 2019-20 is Rs. 1925 per quintal.

Additional Information

• Wheat MSP — by Rs 150 per quintal or 7 per cent — is significant as it is the second largest crop after paddy in terms of area coverage. In the crop year 2022-23, the area under wheat in the country stood at 318.25 lakh hectare, while production is estimated to be 110 million tonnes.

The correct answer is option 3, i.e. 1992.

Key Points:

• The Earth Summit 1992  is also known as The United Nations Conference on Environment and Development (UNCED) held at Rio de Janeiro (Brazil).

The Outcome of Earth Summit 1992 - 

Agenda 21 -

• It is a non - binding action plan of the United Nations related to sustainable development.
• It is the outcome of Earth Summit 1992.
• The number 21 refers to an agenda for the 21st century.
• Since 2015, Sustainable Developments goals are included in the Agenda 2030.

​Landmark Agreement - 

• An agreement on the climate change convention which in turn led to the Kyoto Protocol and The Paris Agreement.
• Convention on Biological Diversity - 
• ​The Convention on Biological Diversity (CBD) is the international legal instrument for "the conservation of biological diversity, the sustainable use of its components and the fair and equitable sharing of the benefits arising out of the utilization of genetic resources" that has been ratified by 196 nations.
• United Nations Convention to Combat Desertification -
• UNCCD is a Convention to combat desertification and mitigate the effects of drought through national action programs (NAP).
• It is the only internationally legally binding framework set up to address desertification.

Sustainable Development Goals - 

• To bring sustainable developments in the mainstream United Nations Launched the 2030 Agenda for sustainable Developments and SDG.
• Highlights - 
• 17 Goals
• 169 targets
• Target to achieved by 2030
• SDGs are not legally binding

The correct answer is option 1 i.e. Clay.

• Clay soils have very fine particles through which water cannot easily percolate.
• What is percolation - 
• When we sprinkle water on the ground, it is soon absorbed by the soil.
• The process in which water passes down slowly through the soil is called the percolation of water.
• Percolation varies with soil type while sandy soli allows maximum percolation, clay soil allows minimum percolation of water.

• Type of soil In India - 
• Alluvial Soils
• Black soil
• Red soils
• Laterite and Lateritic soils
• Forest and Mountain soils
• Arid and desert soils
• Peaty and Marshy soils

The correct answer is option 4. i.e. Financial.

Key Points

• The Supreme Court of India has Original, Appellate, writ and Advisory jurisdiction.
• Original Jurisdiction: As per Article 32 Supreme Court is the guardian/protector of fundamental right and any person whose fundamental rights are violated can directly approach the Supreme Court for a remedy and any matter regarding the enforcement of fundamental rights comes under the original jurisdiction of the supreme court.
• The Supreme Court has original jurisdiction in a matter related between any dispute - 
• Government of India vs and one or more states
• Government of India and states on one side and states on another side
• States vs states
• Appellate Jurisdiction - 
• ​Supreme Court is the highest court of appeal from all courts in the territory of India.
• For example - Article 134: Provides the Supreme Court with appellate jurisdiction in the criminal matters from any judgment, final order, or sentence of the high court.
• Advisory Jurisdiction - 
• Article 143 (Power of President to consult supreme court)
• If the President feels that a question of law or fact has arisen or is likely to arise and the question is of such a nature of such public importance that it is expedient to obtain the opinion of the Supreme Court.
• The Supreme Court is free to advise the President or not.
• Such an opinion is not binding on the President.

The correct answer is option 3, i.e. Persian.

• The list of official languages recognized by the Constitution is mentioned under schedule Eight of the Indian Constitution.
• The Eighth Schedule to the Indian Constitution contains a list of 22 scheduled languages.

• Official Language of the Union: Article 343(1) of the Constitution provides that Hindi in Devanagari script shall be the official language of the Union.

The correct answer is Swami Dayananda Saraswati.

Key Points

• The socio-political movement, derived from the ancient rite of Shuddhikaran or purification was started by the Arya Samaj and its founder Swami Dayananda Saraswati.
• The movement strove to reduce the conversions of Hindu to Islam and Christianity, which were underway at that time.

Additional Information

The correct answer is Ministry of Tourism.

• "Apni Dharohar, Apni Pehchaan" is a collaborative effort between the Ministry of Tourism, Ministry of Culture & Archaeological Survey of India(ASI) & State/UTs government.
• This project was launched by the Hon'ble President of India on 27th September 2017 on the occasion of World Tourism Day.
• It aims to involve public sector companies, private sector companies, and corporate citizens/ individuals to take up responsibility for making our heritage and tourism more sustainable.
• These organisations will be known as "Monuments Mitra".

Monuments adopted until now -

Additional Information

• Indian Council of Historical Research: The Indian Council of Historical Research is an autonomous body of the  Ministry Of Education then (Ministry of Human Resource Development).
• Archaeological Survey of India: It is an Indian government agency attached to the  Ministry of Culture, that is responsible for archaeological research and the conservation and preservation of cultural monuments in the country.
• It was founded in 1861 by Alexander Cunningham.
• Ministry of Culture: The Ministry of Culture is the Indian government ministry charged with the preservation and promotion of art and culture of India. G. Kishan Reddy is the current Minister of Culture.

The correct answer is Buddhism.

Key Points

• Jataka tales are works of literature that are about Gautam Buddha's previous births.
• Buddhism: Buddhism is a faith that was founded by Siddhartha Gautama ("the Buddha") in 5th Century B.C.
• The Buddhism religion is based upon the teachings, life experience of its founder Siddhartha Gautam, born in circa 563 BCE.

Additional Information

• Lingayat: Lingayat also called Virashaiva, a member of a Hindu sect with a wide following in southern India that worships Shiva as the only deity.
• Shaivism: Shaivism is the branch of Hinduism that worships Shiva as the supreme deity. It is one of the major branches of Hinduism.
• Jainism: Jainism is a religion that emphasizes complete non - violence, and asceticism.
• Followers of Jainism are called Jains.
• J ainism came into prominence in the 6th century B.C, when Lord Mahavira propagated the religion.
• There were 24 great teachers, the last of whom was Lord Mahavira.
• The first Tirthankara was Rishabnatha.

The correct answer is Common salt.

• Indicators are the substances that are used to identify whether the given substance is an acid or a base.
• Common salt is neither an acid nor a base.
• Common salt formed by the neutralization reaction of an acid and a base, hence indicators do not affect common salt.

The correct answer is option 4, i.e. Kenya.

• The BRICS group was formed as the result of an agreement signed by the four countries on November 28, 2009.
• BRICS is an intergovernmental organization comprising Brazil, Russia, India, China, Saudi Arabia, South Africa, Egypt, Ethiopia, Iran, and the United Arab Emirates.
• The four nations committed to work jointly at the Copenhagen climate summit.
• They also decided to do a possible united walk-out if their common minimum demands were not met by the developed nations.
• The need for this group?
• In the light of the IPCC special report on 1.5 ^oC released in October last year, the group took note of its findings that highlight the "high vulnerability of developing countries to climate change effects and high resultant costs of adaptation".
• Some International Organisation to which Brazil, China & India are members.
• BRICS
• G5

The correct answer is  21-A.

• The 86^th amendment to the constitution of India in 2002 provided
• Right to Education as a Fundamental right in part -III of the constitution.
• This amendment inserted Article -21A which made the right to education a fundamental right for children between ages 6-14 years.

Additional Information

The correct answer is Dhamma-mahamatta.

• Dhamma-mahamatta was a group of officers instituted to implement and publicize the various aspects of Dhamma.
• Ashoka made them responsible for carrying his message to various sections of society.
• Later they became very powerful and started interfering with state politics.

Additional Information

• Ashoka also is known as "Devanampiya".
• Piyadasi was the son of Mauryan Emperor Bindusara and was born in 304 BC.
• His reign lasted from 268 BC to 232 BC.
• Once he became King, he started expanding his empires by conquest, in the 8th year of his reign he waged a war with Kalinga (present-day Odisha).
• Ashoka's 13th Rock edicts describe the Kalinga war.
• Source of Information about Ashoka:
• There are two main source - 
• Buddhist sources
• Ashoka's edicts
• Ashoka's inscription can be classified into three - 
• Pillar edicts
• Major rock edicts
• Minor rock edicts
• Ashoka uses his name only in four of these places namely 
• Maski
• Brahma Giri (Karnataka)
• Gujjara (MP)
• Nettur (AP)

The correct answer is Kerala.

Additional Information

• The census in India is conducted by The Office of the Registrar General and Census Commissioner India, which comes under the Ministry of Home affairs.
• The present Registrar General and Census Commissioner of India is Shri Mritunjay Kumar Narayan​.
• The first complete census was conducted in 1881.
• The 2011 Census was the 15^th Census.
• Census is conducted with an interval of 10 years.

The correct answer is To protect the lining of the stomach.

Key Points

• Mucus or Gastric mucus is a gel barrier secreted by epithelial cells & glandular cells in the stomach wall.

Important Points

• HCL: converts the medium of food from alkali to acidic that also enables pepsin to do its work.
• Mucus: protects the inner lining of the stomach from HCL.
• Pepsin: helps in breaking down or digestion of protein in the stomach.
• Hydrochloric acid helps in the functionality of pepsin at the same time kills bacteria and mucus.

The correct answer is option 4, i.e. Accumulation of lactic acid.

Key Points

• Lactic acid is mainly produced in muscle cells and red blood cells.
• It forms when the body breakdowns carbohydrates to use for energy when oxygen levels are low.
• The condition when the body's oxygen level drops - 
• During intense exercise.
• When the body is infected or suffering from any disease.
• The lactic acid buildup can result in muscle pain, cramps, and muscular fatigue.
• These symptoms are typical during strenuous exercise and are not usually anything to worry about as the liver breaks down any excess lactate.

CONCEPT and EXPLANATION: The simple interest is given as $SI = \frac{{Prt}}{{100}}$ where P is the prinicipal amount, r is the interest rate and t is the time in years.

CALCULATION:

SI = PRT/100

⇒ (3460 × 5 × 5) /100

⇒ 86500/100

⇒ Rs. 865

Hence D is the correct answer

CONCEPT: The HCF is the greatest positive integer which divides each of the two numbers and LCM is the the smallest positive integer that is divisible by both the numbers.

EXPLANATION: The HCF and LCM of the given numbers can be found out after expressing the numbers as a product of their prime factors. After prime factorisation, HCF can be found by multiplying the common factors and LCM can be found out by multiplying the common factors and all the other factors. The ratio of the HCF and LCM can be found out by dividing the HCF by LCM.

CALCULATION:

⇒ 14 = 2 × 7

⇒ 18 = 2 × 3 × 3

⇒ HCF = 2

⇒ LCM = 2 × 7 × 3 × 3 = 126

⇒ (HCF/LCM) = 2/126 = 1/63

Hence D is the correct answer

GIVEN:

A Set of 10 numbeRs. The numbers are from 23 to 32.

CONCEPT:

In order to find the mean of a given set of numbers, we just need to add them all and then divide the value obtained with the total count of these set of numbeRs.

FORMULA USED:

Mean = (Sum of all the numbers) / (Total number of numbers)

CALCULATION:

So for this given question Mean = (23 + 24 + 25 + 26 + 27 + 28 + 29 + 30 + 31 + 32) / 10 = 27.5

GIVEN:

The total number of sale of cars is 600000.

The percentage of sale of cars type T1 is 20% and that of T5 is 17%.

CONCEPT:

In questions where the sales for individual cars are given in percentage and we are asked to find the difference in sales number for two types, instead of individually calculating the number of sales and then subtracting, we can find the difference in percentage itself. Since we know the total number of sales of cars, by multiplying that difference percentage with total sales will give us the answer directly.

FORMULA USED:

Difference in the number of cars sold of type T5 and T1 = (Percentage of cars sold by T1 – Percentage of cars sold by T5) × Total number of sale of cars /100

CALCULATION:

Difference in the number of cars sold of type T5 and T1 = (20-17) × 600000/100 = 18000.

∴ Difference in the number of cars sold of type T5 and T1 is 18000.

GIVEN:

The average of five consecutive odd numbers is 17.

CONCEPT:

The difference between consecutive odd numbers is 2.

FORMULA USED:

Average of numbers = (Sum of numbers / Total numbers)

CALCULATION:

Let, highest odd number is x.

Sum of five consecutive odd numbers = x + x – 2 + x – 4 + x – 6 + x – 8

Average of numbers = (Sum of numbers / Total numbers)

⇒ 17 = (5x – 20)/5

⇒ 5x – 20 = 85

⇒ 5x = 105

⇒ x = 21 

∴ The highest number is 21

Alternate Method

As the numbers are consecutive odd numbers and the terms are odd, the average of these numbers will be the middle term.

Hence the middle term is 17.

So the numbers will be 13, 15, 17, 19, 21

∴ The highest number is 21

CONCEPT:

The simple interest is given as $SI = \frac{{Prt}}{{100}}$ and the compound interest is given as $CI = P{\left( {1; + ;\frac{r}{{100}}} \right)^t} - P$ where P is the prinicipal amount, r is the interest rate and t is the time in years.

EXPLANATION:

The difference between the simple interest and compound interest can be given by:

CI – SI

⇒ $\left[ {;P{{\left( {1 + \frac{r}{{100}}} \right)}^t} - P} \right] - ;\frac{{Prt}}{{100}}$

CALCULATION:

SI = (PRT/100)

⇒ (6400 × 10 × 2)/100

⇒ 128000/100

⇒ 1280

$CI = P{\left( {1; + ;\frac{r}{{100}}} \right)^t} - ;P;$

$\Rightarrow ;6400{\left( {1; + ;\frac{{10}}{{100}}} \right)^2} - 6400$

⇒ 6400(1 + 0.1)² – 6400

⇒ 6400(1.1)² – 6400

⇒ (6400 × 1.21) – 6400

⇒ 7744 – 6400

⇒ 1344

CI – SI

⇒ 1344 – 1280 = 64

⇒ Required difference = Rs. 64

Hence D is the correct answer.

Smart Trick

Effective rate difference for 2 years = (r²/100) = (10²/100) = 1%

∴ Required difference = 1% of 6400 = 6400 × (1/100) = 64.

GIVEN:

P completes a work in 30 days and works on first day

Q completes a work in 15 days and works on Second day

R completes a work in 20 days and works on third day

After that again P works for one day then Q works for next day and R works for next to next day and so on.

CONCEPT:

First we calculate work completed by individual per day then we calculate work completed by single men in successive days

Calculation:

LCM of 30, 15, 20 = 60

Let the total work be 60 units

Efficiency of P = 60 / 30 = 2 units

Efficiency of Q = 60 / 15 = 4 units

Efficiency of R = 60 / 20 = 3 units

According to question

1^st day P come on work 2^nd day Q come on work and 3^rd day R come on work

Work complete on 1^st day = 2 units

Work complete on 2^nd day = 4 units

Work complete on 3^rd day = 3 units

So, total work completed in 3 days = (2 + 4 + 3) = 9 units

We can take this 3 days work as 1 cycle

∴ in 6 cycles work completed = 9 × 6 = 54 units

Remaining work = 60 units – 54 units = 6 units

(1 cycle = 3 days)

∴ 6 cycles = 6 × 3 = 18 days

19^th day P come on work

Work done by P on 19^th day = 2 units

Work left after 19 days = 60 – 56 = 4 units

Q work on 20^th day

Efficiency of Q = 4 units

Q complete the remaining work on 20^th day

Total time taken to complete the work = 20days

GIVEN:

A alone can complete the work in 10 days and B alone can complete the work in 20 days.

FORMULA USED:

Amount of work done by a single person in a single day = 1 / Total number of days taken to complete the work.

CALCULATION:

Amount of work done by A in a single day = 1/10

Amount of work done by B in a single day = 1/20

Amount of work done by A and B in a single day = 1/10 + 1/20 = 3/20

To complete the half of the total work, the amount of time taken will be = 0.5 / (3/20) = 10/3 days.

Alternate method:

LCM of 10, 20 = 20

Let the total work be 20 units

Efficiency of A = 20/10 = 2 units

Efficiency of B = 20/20 = 1 unit

According to question

Work to be done half of the initial work i.e. 20/2 = 10 units

Total efficiency of A and B when work together = 2 + 1 = 3 units

Time to be completed by A and B = (10/3) days

In the question it has been asked to find out the amount of time required to complete half of the total work, many students find the answer for completing the full work, which in fact will lead to the wrong answer, and that answer is also present in the options.

$\dfrac{5}{4} \times \dfrac{12}{5} \div \dfrac{4}{25}+\dfrac{1}{2} \times \dfrac{3}{4}$ 

⇒ $\dfrac{3}{1} \times \dfrac{25}{4}+\dfrac{3}{8}$

⇒ $\dfrac{153}{8}$

GIVEN:

The length of the train is 540 m and the speed of the train is 20 m/sec.

CONCEPT:

In questions where we are asked to find the time taken by the train to cross the pole, the answer can simply be obtained by dividing the length of the train by the speed of the train.

To get a clear picture, you can consider the train to be at rest and move the pole from one end of the train to the other end with a speed equals to the speed of the train. The time taken will be same in both the cases.

FORMULA USED:

Time taken by the train to cross the pole is = Length of the train / speed of the train

CALCULATION:

Time taken by the train to cross the pole is = 540/20 = 27 sec

∴ The time taken by the train to cross the pole is 27 seconds.

GIVEN:

Selling price of the article is Rs. 432

Profit gained on the article is 35%

FORMULA USED:

Selling price = {1 + (Profit %) /100} × Cost Price

CALCULATIONS:

⇒ 432 = {1 + (35/100)} × Cost Price

⇒ Cost Price = 432/ 1.35 = 320

Hence, Cost price of the article is Rs. 320.

Alternate solution

Such questions can be solve easily by assuming Cost price 100x.

Hence, profit = 35x and selling price = 135x

According to question, 

135x = 432

⇒ x = 432/135

∴ Cost price = 100x = (432/135) × 100 = 320.

GIVEN:

The length of the diagonal of the square is 10 cm.

The area of Second Square is twice the area of First Square.

FORMULA USED:

Area of Square = ½ × diagonal²

CALCULATIONS:

Let, the length of the diagonal of the Second Square is x.

⇒ (x²/2) = 2 × ½ × 10²

⇒ x² = 2 × 10² = 200

⇒ x = √200 = 14.14

The length of the diagonal of the Second Square is 14.14 cm.

Alternate MethodDiagonal of the square = √2 side

Area of square = Side² 

Calculation:

Now, A/Q

√2 side = 10 

side = 10/√2

Area = (10/√2)² = 100/2 

Area of new square = 2 × (100/2) = 100

Side of the new square = √100 = 10

Diagonal of the new square = √2 × 10 = 14.14 cm      ----(√2 = 1.414)

Given:

Length (l) = 24 cm

Diagonal (d) = 26cm

Breath (b) = ?

Formula used:

d² = l² + b²

Calculation:

⇒ 26² = 24² + b²

⇒ b² = 676 – 576

⇒ b² = 100

⇒ b = √100 = 10cm

∴ The value of breadth = 10cm.

GIVEN: 

Production of coffee in the year 2011 = 1500

Production of coffee in the year 2010 = 1200

CALCULATION:

Percentage increase = (1500 - 1200) × 100/1200 = 300 × 100/1200 

∴ Percentage increase = 25%

CONCEPT: The percentages marked in a pie chart always add up to 100.

EXPLANATION: The cars sold of each type can be found out by multiplying that percentage to the total cars sold.

CALCULATION:

Number of cars sold of type T5 is (17/100) × 600000 = 102000

Number of cars sold of type T6 is (8/100) × 600000 = 48000

Number of cars sold of type T3 is (13/100) × 600000 = 78000

Total number of cars sold of type T5, T6 and T3 is 102000 + 48000 + 78000 = 228000

ALTERNATIVE SOLUTION:

The percentages of the types of cars that are sold can be added up and multiplied with the total cars sold.

Total number of cars sold of type T5, T6 and T3 {(17 + 8 + 13)/100} × 600000 = {(38/100) × 600000 = 228000

Hence B is the correct answer

GIVEN:

24 ÷ 4 -{(2/3) × (21/8)} ÷ (1/4)

CONCEPT:

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

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

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

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

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

CALCULATION:

Given:

24 ÷ 4 -{(2/3) × (21/8)} ÷ (1/4)

⇒ 24 ÷ 4 – {7/4} ÷ (1/4)

⇒ 24 ÷ 4 – {7/4} × 4

⇒ 24 ÷ 4 – 7

⇒ 6 – 7 =  -1

GIVEN:

The ratio of four numbers is 3 : 1 : 7 : 5.

Sum of these four numbers is 336.

CONCEPT:

In this question we are asked to find the sum of first and fourth number. We can individually find each and every number and then find the sum of required numbers.

FORMULA USED:

The number = (Ratio of that number/Sum of the ratio of all those number) × Sum of these numbers

CALCULATION:

First number = (3/16) × 336 = 63

Fourth number = (5/16) × 336 = 105

Sum of these numbers = 105 + 63 = 168

Short Trick 1

It can be seen that the sum of all the numbers (3 + 1 + 7 + 5) = 16 and the sum of the ratio of first and the fourth number (3 + 5) = 8. So the sum of the first and fourth number is going to be half of the total sum,

∴ given total = 336

⇒ 336 / 2 = 168

∴ Answer is  168.

Short Trick 2

The ratio of four numbers = 3 : 1 : 7 : 5

Hence, the sum of the first and fourth number will be divisible by 8.

Only option 3 i.e.168 is divisible by 8. Hence, 168 is the correct option.

GIVEN:

The ratio of number of children, women and men in colony is 6 : 4 : 3.

The colony has at least 200 members.

CONCEPT:

In this question we are not given the exact number of members in the colony, rather it is said that the number of members is at least 200. Using the ratios, we are going to first find out the exact number of people in the colony. Then after that the number of women in the colony can be determined using the ratios.

In these type of questions, there are infinite possible answers but we have to choose the answer which is present in the options.

FORMULA USED:

Number of women = (ratio of women / sum of all the individual ratios for men, women and children) × Total members

CALCULATION:

Let us assume the number of children is 6x, number of women is 4x and the number of men is 3x.

So the total number of members = 6x + 4x + 3x = 13x

Now given the colony has at least 200 members, So the total number of members in the colony is going to be greater than 200 and a multiple of 13. So in this way, we get our first possible answer for total member as 208.

Now assuming the total number of members as 208, number of women in the colony is 4/13 × 208 = 64, which is present in the option.

∴ The number of women in the colony is 64.

In the question it is given that atleast 200 member.

So we have to take multiple of 13 greater than 200.

i.e. 208

Not 195

GIVEN:

The purchase cost of one bag is Rs. 128.

Profit made on each bag is 20%.

CONCEPT:

In this type of questions first we need to find the selling price of one bag, since we already know the profit made on each bag and then simply by multiplying the total number of bags sold, we can find out the total selling price.

FORMULA USED:

Selling price = Buying price × (1 + Profit percentage / 100) or Buying price × (1 - Loss percentage / 100)

CALCULATION:

Selling price = 128 × (1 + 20/100) = 153.6

∴ The selling price of individual bag is Rs. 153.6

Selling price of 15 bags = 153.6 × 15 = 2304

∴ The selling price of 151 bags is Rs. 2304.

Alternate method:

Given:

Cost price of bag = Rs. 128

Profit% = 20%

Calculation:

20% = 1/5

⇒ 128/5 = 25.6

Profit = Rs. 25.6

Selling price of bag = Rs. 128 + 25.6 = 153.6

Selling price of 15 bags = 153.6 × 15 = Rs. 2304

GIVEN:

Money invested by P is Rs. 28000 per month and he has invested for 8 months.

Money invested by Q is Rs. 42000 per month and he has invested for 12 months.

CONCEPT:

In this type of questions, the profit ratio among the persons is the same as that of the ratio of their capital investment. So we will find the ratio of capital investment, which will be the same as the profit ratio and since we know the total profit and profit ratio, we can find the individual profit.

FORMULA USED:

Profit made by A = (Amount of money invested by A × Total profit) / Total money invested by A and B together)

CALCULATION:

Total money invested by A = 28000 × 8 = 224000

Total money invested by A and B together = 28000 × 8 + 42000 × 12 = 728000

Profit made by A = (224000 × 21125) / 728000 = 6500

∴ The profit made by A is Rs. 6500.

GIVEN:

Old length = L

Old breadth = B

Old height = H

New length = 1.1L

New breadth = 1.2B

New height = 1.15H

FORMULAE USED:

Volume of Cuboid = L × B × H

CALCULATION: 

New Volume = 1.1L × 1.2B × 1.15H = 1.518 LBH

Percentage Increase = (1.518 LBH - LBH) × 100/LBH

∴ Percentage Increase = 51.8%

Given:

radius (r₁) = 20 cm

radius (r₂) = 15 cm

Formula used:

Area of a circle is (A) = πr²

Concept used:

The area of the third circle, A₃ = A₂ + A₁

Calculation:

A₁ = π r₁²

⇒ A₁ = π × 20²

⇒ A₁ = 400 × π

A₂ = πr ₂²

⇒ A₂ = π × 15²

⇒ A₂ = 225 × π

A₃ = A₂ + A₁

⇒ A₃ = 400 × π + 225 × π

⇒ A₃ = 625 × π

⇒ A₃ = πr₃²

⇒ 625 × π = πr₃²

⇒ (625 × π) = πr₃²

⇒ 625 = r₃²

⇒ r₃ = √625

⇒ r₃ = 25

∴ The radius of the third circle is 25 cm.

CONCEPT:

The discount rate is applied on the current selling price of an item. The new rate after the application of the discount would be SP – (d × SP) where SP is the current selling price and d is the discount rate in percentage

EXPLANATION:

Let SP be the selling price of the item. After the first discount of 25%, it would become SP₁ and after the second discount of 20% it would become SP₂. The net discount then can be calculated by SP - SP₂

CALCULATION:

SP₁ = SP – {(25/100) × SP}

⇒ SP₁ = SP – (0.25 × SP)

⇒ SP₁ = 0.75 × SP

SP₂ = SP₁ – {(20/100) × SP₁}

⇒ SP₂ = 0.75 × SP – {(20/100) × 0.75 × SP}

⇒ SP₂ = 0.75 × SP – (0.20 × 0.75 × SP)

⇒ SP₂ = 0.75 × SP – (0.15 × SP)

⇒ SP₂ = 0.60 × SP

Net discount = SP – SP₂

⇒ SP – (0.60 × SP)

⇒ 0.40 × SP

⇒ (40/100) × SP

⇒ 40% of SP

Hence D is the answer

Formula of successive discount = a + b - (a × b)/100

Here, a = 25% and b = 20%

⇒ 25 + 20 - (25 × 20)/100 = 45 - 5 = 40%

Given:

Certain Distance is covered in 15 minutes at speed 45 m/s.

CONCEPT:

Equate the distances covered with different speeds in different time intervals.

FORMULA USED:

Distance = Speed × Time

CALCULATIONS:

Let, Time taken to cover same distance with speed 60 m/s is t minutes.

60 × t = 45 × 15

⇒ t = 675/60 = 11.25

Thus, Time taken to cover same distance with speed 60 m/s is 11.25 minutes.

Same distance is covered with different speeds, so time taken will be different.

GIVEN:

Numbers are 410, 475, 525, 560 and 720.

FORMULA USED:

Average of numbers = (sum of numbers / total numbers)

CALCULATIONS:

Average of numbers = (410 + 475 + 525 + 560 + 720) /5 = 2690/5

∴ required average = 538

The correct answer is option 2)  i.e. My favourite novelist of all.

Explanation:

• Let us explore the options:
• ​The preposition 'in' is used for showing where someone or something is. The prepositional phrase "in all" means in total number; altogether.
• The preposition 'of' is used for concerning or showing someone or something. The prepositional phrase "of all" is used for denoting the least likely or expected.
• The preposition 'between' is used for stating which two people or things are similar or different.
• The prepositional phrase "at all" (used for emphasis) in any way; to any extent.
• From the context of the sentence, the preposition 'of' should be used in place of 'in'.
• Hence, the option "My favourite novelist of all" is correct.
  

Extra- Bites-

• A preposition is a word governing, and usually preceding, a noun or pronoun and expressing a relation to another word or element in the clause.
  

Correct Sentence: My favourite novelist of all was Charles Dickens, who really left his mark on me.

The correct answer is option 2) i.e. B

Explanation:

• The given sentence is an indirect speech and it is in the simple past tense.

• The verb 'need' used in the reported speech is in simple present tense and should be changed to the simple past tense.

• The past simple tense format of indirect speech is "Subject + V2 + Object".

• Thus, the verb 'need' should be converted into 'needed'.

• Hence, the option "he need her help" is erroneous.
  

• If the first part of the sentence (reporting verb part) belongs to the past tense, the tense of reported speech will change. If the first part of the sentence (reporting verb part) belongs to the present or future tense, the tense of reported speech will not change.

• The following table will enable us to know how tense changes into Indirect speech:
  

Correct Sentence: The man greeted his secretary and told her that he needed her help to complete the work immediately.

The correct answer is option 2)  i.e. an unforgettable moment.

Explanation:

• Context of the Sentence: It's impossible to forget the moment of meeting my teacher after ten years.

• The word 'unforgotten' in the sentence is not correct as it means not forgotten (negative adjective).

• From the context of the sentence, the correct form of the adjective should be 'unforgettable'.

• The adjective 'unforgettable' means something that is so memorable that it can never be forgotten.

• Hence, the option "an unforgettable moment" is correct.
  

• An experience that had a strong effect on you (either good or bad) can be described as unforgettable.

• If you describe something as unforgettable, you mean that it is, for example, extremely beautiful, enjoyable, or unusual, so that you remember it for a long time. You can also refer to extremely unpleasant things as unforgettable.
  

Correct Sentence: Meeting my teacher after ten years was an unforgettable moment.

The correct answer is option 4 i.e. injurious.

Explanation-

Let us look at the sentence carefully and analyze it. The subject of this sentence is 'smoking' and we need an appropriate adjective for smoking that will fit in the blank given above, let's have a look at all the given options. 

• Tedious:  tiresome because of length or dullness: BORING
• Serious: thoughtful or subdued in appearance or manner: SOBER
• Anxious: characterized by extreme uneasiness of mind or brooding fear about some contingency: WORRIED
• Injurious: inflicting or tending to inflict injury: DETRIMENTAL

​

Now after going through the sentence and options, we can easily comprehend that smoking cannot be tedious serious and anxious, the only proper adjective that will fit in the given blank is 'injurious' as smoking causes cancer hence it is injurious to health.

Correct sentence- ​Smoking is injurious to health.

The correct answer is option 1) i.e. Generous.

Key Points

• The word 'Stingy' means giving or sharing as little as possible
• The synonyms of the word are "cheap, chintzy, close, closefisted, mean, mingy, miserly, niggard".
• The antonyms of the word are "generous, charitable, freehanded, generous, liberal, munificent, openhanded, unsparing, unstinting".
• From the antonym of the given word, we can say that the word 'Generous' is opposite in meaning.
• The word 'Generous' means giving or sharing in abundance and without hesitation.
• Hence, we can say that 'Generous' is the opposite in the meaning to the given word.
• Let's see the meaning of other given options-

Extra- Bites-

• The synonyms of the word 'Generous' are "bighearted, bounteous, bountiful, charitable, free, freehanded, freehearted, fulsome, liberal, munificent, open, openhanded, unselfish, unsparing, unstinting".
• The antonyms of the word 'Generous' are "stingy​, cheap, close, closefisted, costive, mingy, miserly, niggardly, tight, penurious, selfish, stinting, tightfisted, uncharitable, ungenerous".

The correct answer is option 2) i.e. put.

Explanation:   

• Let us explore the given options:

• The verb 'join' means to unite to form one entity or group.

• The verb 'put' means to arrange something in a certain spot or position.

• The verb 'bring' means to convey, lead, carry, or cause to come along with one toward the place from which the action is being regarded.

• The verb 'combine' means to join or merge to form a single unit or substance.

• Hence, the option "put" is correct.
  

• The idiom phrase "put our heads together" means to discuss or plan something among ourselves (or themselves).
  

Correct Sentence: Let us put our heads together to solve the problem.

The correct answer is To agree with another.

Key Points

• Given Idiom: To see eye to eye means to agree with someone, or to have the same opinion as them. (किसी से सहमत होना, या उनके समान राय रखना)
• Example: Spain is going to see eye to eye with Europe again.
• Let us explore the given options:
• To agree with another means to have the same opinion about something; concur with someone. (किसी चीज़ के बारे में समान राय रखना; किसी से सहमत)
• To love another means an intense feeling of deep affection with someone. (किसी के साथ गहरे स्नेह की तीव्र अनुभूति)
• To threaten another means one's intention to take hostile action against (someone) in retribution for something done or not done. ( किसी के द्वारा किए या न किए गए प्रतिशोध में (किसी के) खिलाफ शत्रुतापूर्ण कार्रवाई करने का इरादा)
• To fight with another means to take part in a violent struggle involving the exchange of physical blows or the use of weapons with someone. (दूसरे के साथ लड़ने के लिए एक हिंसक संघर्ष में भाग लेने के लिए जिसमें शारीरिक वार का आदान-प्रदान या किसी के साथ हथियारों का उपयोग शामिल है)
• Hence, the option "To agree with another" is correct.
  

Additional Information

• This is an ancient phrase and a reference is found in the Bible. (यह एक प्राचीन मुहावरा है और इसका संदर्भ बाइबल में मिलता है।)

The correct answer is option 2) i.e. Achieve.

Key Points:- 

• From the given options only 'Achieve' is making sense and has some meaning.
• The word 'Achieve' means to obtain (as a goal) through effort; to carry through (as a process) to completion. (प्रयास के माध्यम से (लक्ष्य के रूप में) प्राप्त करना)
• The synonyms of the word are "accomplish, bring off, carry off, carry out, commit, compass, do, execute, follow-through (with), fulfil, make, negotiate, perform, prosecute, pull off, put through."
• The antonyms of the word are "fall short (of), miss, fail (at), lose."
• Hence, 'Achieve' is the correct answer or correctly spelt word.
  

Additional Information  

• Examples of 'Achieve' in a sentence:
• We are confident we will be able to achieve the target.
• Satellite measurements are the only way to achieve a global view of the radiative fields.

The correct answer is option 1) i.e. have been killed.

Explanation:  

• The given sentence is a present perfect passive voice. The present perfect is a verb tense which is used to show that an action has taken place once or many times before now. The present perfect is most frequently used to talk about experiences or changes that have taken place.
• Let us explore the given options:
• "Have been killed" is the passive voice for present perfect tense. 'Have' is used with a plural noun.
• "Are being killed" is the passive voice for present continuous tense.
• "Has killed" is the active voice for present perfect tense.
• "Has been killed" is the passive voice for present perfect tense. 'Has' is used with a singular noun.
• In the given sentence "two dozen people" is a plural noun so the plural form of the verb should be used.
• Hence, the correct option is "have been killed".

• Verbs of passive format have a different set of tenses (*V3 - Past participle or Third form of the Verb) as given below in the table:
  

Correct Sentence: In the United States of America two dozen people have been killed due to the present cold wave.