1. Which countries researchers developed a new computer model that can help accurately predict air pollution levels in the region using certain climatic patterns related to the ocean ?

A. Japan and China B. China and the United States C. India and the United States D. Japan and Russia

Answer - Option B
Explanation - The team of researchers from China and the United States developed a new computer model that can help accurately predict air pollution levels in the region a season in advance. The data from El Nino and Antarctic Oscillation events can be used to predict air pollution levels in northern India. It will allow the government to forecast aerosol pollution conditions in winter and formulate plans for pollution control. The research was published in the journal Science Advances.
2. Which institute scientists have developed the world’s first robot hand for the rehabilitation of stroke patients ?

A. Indian Institutes of Technology (IIT) Madras B. Indian Institutes of Technology (IIT) Delhi C. Indian Institutes of Technology (IIT) Kanpur D. Indian Institutes of Technology (IIT) Kharagpur

Answer - Option C
Explanation - The scientists at the Indian Institutes of Technology (IIT) Kanpur have developed the world’s first robot hand for the rehabilitation of stroke patients. It is a two-finger robotic hand (exoskeleton) that uses a four-bar mechanism and has four degrees of freedom (DOF). It uses brain signals, with the help of the brain-computer interface (BCI).The exoskeleton is operated by a MEGA (Molecular Evolutionary Genetics Analysis) micro-controller of 300 Mhz and powered by a battery which costs around Rs 15,000. It was developed by Professor Ashish Dutta and Professor K S Venkatesh. In order to develop the product, they had partnered with the University of Ulster, United Kingdom, and their teacher Girijesh Prasad, who belongs to Gorakhpur.
3. Name the telescope of NASA, which has discovered 3 new planets in a new planetary system TOI 270 which are the smallest and nearest known to date at just 73 light-years away from our earth

A. Transmitting Exoplanet Survey Satellite (TESS) B. Kepler space telescope(KST) C. James Webb Space Telescope(JWST) D. Spitzer Space Telescope(SST)

Answer - Option A
Explanation - The Transmitting Exoplanet Survey Satellite (TESS) of NASA has discovered 3 new planets which are the smallest and nearest known to date. The planets include a small, rocky super-Earth and 2 Sub-neptunes orbiting a dwarf star just 73 light-years away from our earth. A paper describing the system was published in the journal Nature Astronomy. Planet System on TOI (TESS Object of Interest) 270.The members present in the planetary system are a dwarf star which is 40% smaller than the size of the sun and the three exoplanets which are named as TOI 270b, TOI 270c, TOI 270d orbiting the star every 3.4 days 5.7 days and 11.4 days respectively. The innermost planet is the TOI 270b and is expected to be 25% bigger than earth.The TOI 270c and TOI 270d are Neptune like planets which are half the size of our icy giants( Uranus and Neptune).
4. Researchers from which institute, have developed a ‘zero loss’ process called Hydro Thermal Carbonization (HTC) for wet Municipal Solid Waste (MSW) management ?

A. Indian Institute of Technology (IIT), Delhi B. Indian Institute of Technology (IIT), Madras C. Indian Institute of Technology (IIT), Kanpur D. Indian Institute of Technology (IIT), Kharagpur

Answer - Option D
Explanation - A research team from Indian Institute of Technology (IIT) Kharagpur have developed a ‘zero loss’ process called Hydro Thermal Carbonization (HTC) for the Indian conditions which can effectively manage mixed Municipal Solid Waste (MSW) with high moisture content where MSW can be converted into biofuel, soil amendment, and absorbents.The research was led by Professor Brajesh Kumar Dubey from the Department of Civil Engineering at IIT Kharagpur.Only 20-30% of organic fraction of municipal solid waste was recycled to biofuel using the existing waste incineration processes.
5. Name the super earth located about 31 light-years away, which was discovered by NASA’s Translating Exoplanets Survey Satellite (TESS) .

A. TOI 216 b B. HD 219666 b C. GJ 357 d D. HD 1397 b

Answer - Option C
Explanation - A super-Earth was discovered by an international team of astronomers led by Lisa Kaltenegger and is considered to be the first potentially habitable world outside our own solar system. Super earth The super-Earth is named as GJ 357 d and it was discovered by NASA’s Translating Exoplanets Survey Satellite (TESS) according to new modelling research in “Astrophysical Journal Letters”.This super Earth, GJ 357 d located about 31 light-years away from our solar system is more massive than earth and could contain liquid on its surface.The discovery of the GJ 357 system was announced in the journal “Astronomy & Astrophysics” by Astronomers of Spain in July. Now, the system has GJ 357 b, GJ 357 c and GJ 357 d.
6. Union Ministry of Finance of India has imposed definitive anti-dumping duty on Import of Purified Terephthalic Acid (PTA) from which countries?

A. Pakistan and China B. Singapore and Malaysia C. South Korea and Malaysia D. South Korea and Thailand

Answer - Option D
Explanation - Based on the recommendations of the Designated Authority in the Commerce Ministry in its sunset review findings, Union Ministry of Finance imposed definitive anti-dumping duty on all imports of Purified Terephthalic Acid (PTA) from South Korea and Thailand. PTA is a primary raw material in the manufacturing of polyester chips, which are used in a number of applications in textile, packaging, furnishings, consumer goods, resins, and coatings.
7. What is the Gross Domestic Product(GDP) of India for the fiscal year 2020 as per the Credit Rating Information Services of India Limited(CRISIL) ?

A. 7.5% B. 7.2% C. 6.9% D. 7%

Answer - Option C
Explanation - According to the CRISIL (formerly Credit Rating Information Services of India Limited), a global analytical company providing ratings, research and policy advisory services report titled “CRISIL’s India Outlook 2019: Uphill trek”, India’s GDP (gross domestic product) growth expected to grow by 6.9% in 2019 (FY-Fiscal Year 2020). It cuts the forecast from 7.1 % to 6.9% due to the triangulation of downside risks (weak monsoon, slowing global growth and Sluggish data for the first quarter (January to March) of the year 2019.
8. Which company has partnered with Hindustan Copper Ltd (HCL) and Mineral Exploration Company Limited (MECL) to set up the joint venture company Khanij Bidesh India Ltd (KABIL) ?

A. National aluminium Company Ltd (NALCO) B. Power Grid Corporation of India Limited (PGCIL) C. Neyveli Lignite Corporation Limited (NLCIL) D. Rashtriya Ispat Nigam Limited (RINL)

Answer - Option A
Explanation - As a way of ensuring a consistent supply of critical and strategic minerals to the Indian domestic market, a joint venture company Khanij Bidesh India Ltd (KABIL) is to be set up. KABIL is a venture between National aluminium Company Ltd (NALCO), Hindustan Copper Ltd (HCL) and Mineral Exploration Company Limited (MECL) with equity participation ration is 40:30:30 respectively.The joint venture was signed in the presence of Shri Pralhad Joshi, Hon’ble Minister of Mines,Coal and Parliamentary Affairs, Mines secretary Shri Anil Mukim and other senior officers. KABIL is setup to ensure mineral security to the nation and also help in realising the overall objective of import substitution.
9. Name the country which became the largest economy in the world with 20.5 trillion dollar in global GDP rankings as per the World Bank data for 2018 .

A. Germany B. United States C. China D. Japan

Answer - Option B
Explanation - The World Bank data for 2018 showed that India is the 7th largest economy in the world in global GDP rankings at $2.73 trillion. United States topped in global GDP as per the World Bank data for 2018. Top 5 Economies of 2018

10. Where will Bureau of Indian Standards (BIS) in partnership with the lab of Ladakh Autonomous Hill Development Council (LAHDC) set up testing centre for Pashmina?

A. Leh, Jammu and Kashmir B. Udhampur, Jammu and Kashmir C. Srinagar, Jammu and Kashmir D. Pahalgam, Jammu and Kashmir

Answer - Option A
Explanation - Director General Ms. Surina Rajan announced that a Testing centre for Pashmina, a famous wool variety in the Jammu and Kashmir region, will be set up by the Bureau of Indian Standards (BIS) in partnership with the lab of Ladakh Autonomous Hill Development Council (LAHDC), Leh, Jammu and Kashmir.Motorbike expedition was flagged by the Hill Council CEC (Chief Executive Counsellor) Gyal P Wangyal, and BIS Director General(DG)surina Rajan under the team “Drive for Pashmina”.The locals will be trained by the BIS with the cooperation of Leh Hill Council to save time and money in marking of the standards.
11. Who heads the Group of Transport Ministers (GoM), which recommends the Motor Vehicles (Amendment) Bill, 2019 to address the issue of road safety ?

A. Raj Kumar Singh B. Rao Inderjit Singh C. Yoonus Khan D. Narendra Singh Tomar

Answer - Option C
Explanation - On July 31, 2019, Rajya Sabha passed the Motor Vehicles (Amendment) Bill, 2019. It will amend the provisions under the 1988 Motor Vehicles Act. Background: The Motor Vehicles (Amendment) Bill, 2019 is based on the recommendations of the Group of Transport Ministers (GoM) headed by Shri. Yoonus Khan, the then Transport Minister of Rajasthan, to address the issue of road safety and to improve the facilitation of the citizens while dealing with transport departments. Vehicle Fitness: The Bill mandates automated fitness testing for vehicles and provides for compulsory recall of defective vehicles and power to examine irregularities of vehicle companies.
12. Name the bill passed by Parliament which helps to tackle the threat of illicit deposit taking activities like exploiting regulatory gaps and lack of strict administrative measures to dupe poor and gullible people of their hard-earned savings.

A. Banning of Unregulated Deposit Schemes Bill, 2019 B. Banning of Illicit deposit Scheme Bill, 2019 C. Banning of Illegal deposit Scheme Bill, 2019 D. Banning of deposits by Black Money Bill, 2019

Answer - Option A
Explanation - On July 29, 2019, Parliament unanimously passed the Banning of Unregulated Deposit Schemes Bill, 2019 which will replace the Banning of Unregulated Deposit Schemes Ordinance, 2019, promulgated on February 21, 2019. It will help to tackle the threat of illicit deposit taking activities in the country like exploiting regulatory gaps and lack of strict administrative measures to dupe poor and gullible people of their hard-earned savings.
13. How many days are provided as a timeline for insolvency resolution process and specifies minimum payouts to operational creditors in recently passed Insolvency and Bankruptcy Code (IBC) (Amendment) Bill, 2019 ?

A. 350 day B. 310 day C. 270 day D. 330 day

Answer - Option D
Explanation - On August 1, 2019, The Parliament passed the Insolvency and Bankruptcy Code (IBC) (Amendment) Bill, 2019. It provides a 330-day timeline for insolvency resolution process and specifies minimum payouts to operational creditors in any resolution plan. The amendments will bring greater clarity to mergers, demergers, and amalgamations as part of the resolution process. Earlier, the timeline was 270 days. It provides greater clarity on permissibility of corporate restructuring schemes, clarity on the rights and duties of authorized representatives of voters.It gives committee of creditors of a loan defaulting company an explicit authority over the distribution of proceeds in the resolution process.
14. Who inaugurated the Indian Airforce Facilitation-cum-Publicity Pavilion in National Bal Bhawan, New Delhi?

A. Piyush Goyal B. Ramesh pokhriyal ‘Nishank’ C. Arjun Munda D. Prakash Javadekar

Answer - Option B
Explanation - The Union Minister for Human Resource Development (MHRD) Mr Ramesh pokhriyal ‘Nishank’, inaugurated the Indian Air force Facilitation -cum-Publicity Pavilion in National Bal Bhawan, New Delhi to motivate students to join Indian Air Force.
15. Which country has partnered with India & launched the “Innovation for Clean Air” (IfCA) initiative in Bengaluru to test interventions related to equality and support India’s transition to EV (electric vehicles) integration ?

A. United States(US) B. Japan C. United Kingdom(UK) D. Russia

Answer - Option C
Explanation - A two-year UK-India joint initiative, the “Innovation for Clean Air” (IfCA) was launched by the British Deputy High Commissioner DominicMcAllister in Bengaluru to test interventions related to equality and support India’s transition to EV (electric vehicles) integration.The air quality is measured by integrating satellite and sensor data.The program is led by Innovate UK, which is a part of UK research and innovation (UKRI). The UKRI is funded by Newton Fund and by various other partners.
16. Who was honoured with prestigious Entrepreneur of the year award 2019 in the event hosted by America’s Business Magazine Entrepreneur India ?

A. Suneil Shetty B. Ruhan Rajput C. Milind Soman D. Arjun Rampal

Answer - Option B
Explanation - Co-founder and director of Einfolge Technologies Pvt Ltd, Mr. Ruhan Rajput was honoured entrepreneur of the Year award 2019 for his excellence in the service sector and for his contributions and achievements in the business industry. The event was hosted by America’s Business Magazine Entrepreneur India along with its Franchise India in New Delhi.Ruhan was also acknowledged as the “Entrepreneur Of The Year in Service Business- BPO/KPO recently” on 18th July.
17. Name the youngest doctor of Gulbarga (Kalaburagi), Karnataka, who was felicitated with ‘Pride of Nation Award’ by the Defence Minister of India, Rajnath Singh .

A. Balamurali Ambati B. Heenal Raichura C. Vinayak S Hiremath D. Akrit Jaswal

Answer - Option C
Explanation - Dr Vinayak S Hiremath, aged 30,the youngest doctor of Gulbarga (Kalaburagi), Karnataka was felicitated with ‘Pride of Nation Award’ by the Defence Minister of India, Rajnath Singh at the ceremony held at NCC (National Cadet Corps) auditorium parade grounds in New Delhi on the occasion of Kargil Vijay Diwas (July 26). He is the first South Indian doctor to offer free insulin consultation and treatment to gestational (pregnancy) diabetic mothers and family members of the Indian Army.He is presently working as the Chief Consultant Physician Diabetologist and Intensivist at KMK Hospital, Cochin, Kerala.He is credited to be one among the top 10 achievers in the healthcare industry in India.‘Pride of the Nation Award’ is given to the people who have made a notable contribution in their fields and in the process made India proud.
18. Name the Indian writer, who was awarded with Asian version of the Nobel Prize, 2019 Ramon Magsaysay Award for “harnessing journalism to give voice to the voiceless”

A. Arnab Goswami B. Sudhir Chaudhary C. Punya Prasun Bajpai D. Ravish Kumar

Answer - Option D
Explanation - India’s senior executive editor of NDTV, Ravish Kumar was awarded 2019 Raman Magsaysay Award which is regarded as the Asian version of the Nobel Prize. He was awarded for “harnessing journalism to give voice to the voiceless”. Four other individuals were declared winners of this award along with Ravish Kumar. Four other winners of the 2019 Raman Magsaysay award are as follows:-

19. Who will be conferred with International Broadcasting Convention’s(IBC) highest award “International Honor for Excellence” during the IBC’s awards ceremony 2019, in Amsterdam, Netherlands ?

A. Daniel Craig B. Andy Serkis C. Idris Elba D. Daniel Radcliffe

Answer - Option B
Explanation - The England-born English actor and film director, Andy Serkis will receive the International Broadcasting Convention’s(IBC) highest award “International Honor for Excellence” for bringing extraordinary humanity to computer-generated characters, at the IBC’s awards ceremony scheduled to be held on September 15, 2019, in Amsterdam, Netherlands.Andy Serkis.Serkis is best known for his performance-capture roles of Gollum from the “Lord of the Rings” film series & and as Caesar in the “Planet of the Apes” trilogy.Filmmakers, James Cameron, Peter Jackson, Ang Lee, and Jeffrey Katzenberg were the past recipients of this prestigious award.
20. Name the Indian Cricketer, who was conferred with Bharat Gaurav Award 2019 .

A. Sourav Ganguly B. Sachin Tendulkar C. Kapil Dev D. Sunil Gavaskar

Answer - Option C
Explanation - On August 1, 2019, Former Indian cricketer Kapil Dev was conferred with Bharat Gaurav Award 2019 on the 99th foundation day of East Bengal Club, the Kolkata soccer giants, at the award ceremony held at Netaji Indoor Stadium, Kolkata, West Bengal.Kapil Dev. Footballer Bhaichung Bhutia was honoured with the ‘Identifying and Nurturing the Icon’ award.Former India captains Manoranjan Bhattacharya and Bhaskar Ganguly were conferred with a lifetime achievement award. Iconic footballer P.K. Banerjee was conferred with the ‘Coach of Coaches’ award. Laldanmawia Ralte conferred with ‘Best Footballer of the Year’ award.
21. Who authored the book titled “Tools and Weapons: The Promise and The Peril of the Digital Age” that depicts the biggest stories of Microsoft ?

A. Carol Ann Browne & John W. Thompson B. Brad Smith & Carol Ann Browne C. Padmasree Warrior & John W. Thompson D. Brad Smith & John W. Thompson

Answer - Option B
Explanation - The book co-authored by Microsoft President Brad Smith & Carol Ann Browne, a director of communications at Microsoft, titled “Tools and Weapons: The Promise and The Peril of the Digital Age” will be released on September 11, 2019. It is published by Hachette Publishers. Tools and Weapons The Promise and The Peril of the Digital Age. The foreword is written by Bill Gates.The book depicts the biggest stories of Microsoft.
22. Who will co-author the book titled “The Book ofGutsy Women” to honour famous women personalities ?

A. Hilary Clinton and Chelsea Clinton B. Sarah Palin and Chelsea Clinton C. Nancy Pelosi and Hilary Clinton D. Margaret Thatcher and Nancy Pelosi

Answer - Option A
Explanation - American politician, diplomat, lawyer, writer and public speaker Hilary Rodham Clinton (called as Hilary Clinton) and her daughter Chelsea Clinton are teamed up to write a book called “The Book of gutsy Women” to honour famous women personalities. This book includes portraits of more than 100 famous women personalities.The Clintons (Hilary and Chelsea) were represented by Robert Barnett, attorney of Washington DC,
23. Which state has the highest number of elephants(6049) as per the wild elephant population census released by Union environment ministry ?

A. Maharashtra B. Meghalaya C. Kerala D. Karnataka

Answer - Option D
Explanation - Union environment ministry that released the wild elephant population census, taken once in every five years by India state of Forest report has estimated that there are totally 29,964 elephants in the country as per the 2017 census which is a bit high compared to the 2012 elephant census having 29,576 elephants. With over 6049 elephants, Karnataka ranks first in the state wise category, and is followed by Kerala.
24. Where was the fossils of the World’s largest parrot, named Heracles inexpectatus & nicknamed as “Squawkzilla” that lived 19 million years ago discovered ?

A. New Zealand B. Australia C. Fiji D. Iceland

Answer - Option A
Explanation - Remains of the World’s largest parrot, Heracles inexpectatus that lived 19 million years ago have been discovered in New Zealand which is well known for giant birds. It is nicknamed as “Squawkzilla”. The report on this bird has been published in the latest edition of Biology Letters.
25. Which state’s ox-bow lake received the 1st ‘Community Reserve’ status in the state recently ?

A. West Bengal B. Uttar Pradesh C. Bihar D. Jharkhand

Answer - Option C
Explanation - Gogabeel, an ox-bow lake (measures 88 hectares ) in Katihar district of Bihar has been declared as state’s 1st ‘Community Reserve’. Gogabeel, which is the 15th Protected Area (PA) in Bihar, is formed from the flow of the rivers Mahananda and Kankhar in the north and the Ganga in the south and east.

Directions(1-5): Read the following passage carefully and answer the questions given below it. Certain parts are given in bold to answer some of the questions based on the passage.
Milankovitch proposed in the early twentieth century that the ice ages were caused by variations in the Earth‘s orbit around the Sun. For sometime this theory was considered untestable, largely because there was no sufficiently precise chronology of the ice ages with which the orbital variations could be matched. To establish such a chronology it is necessary to determine the relative amounts of land ice that existed at various times in the Earth‘s past. A recent discovery makes such a determination possible: relative land-ice volume for a given period can be deduced from the ratio of two oxygen isotopes, 16 and 18, found in ocean sediments. Almost all the oxygen in water is oxygen 16, but a few molecules out of every thousand incorporate the heavier isotope 18. When an ice age begins, the continental ice sheets grow, steadily reducing the amount of water evaporated from the ocean that will eventually return to it. Because heavier isotopes tend to be left behind when water evaporates from the ocean surfaces, the remaining ocean water becomes progressively enriched in oxygen 18. The degree of enrichment can be determined by analyzing ocean sediments of the period, because these sediments are composed of calcium carbonate shells of marine organisms, shells that were constructed with oxygen atoms drawn from the surrounding ocean. The higher the ratio of oxygen 18 to oxygen 16 in a sedimentary specimen, the more land ice there was when the sediment was laid down. As an indicator of shifts in the Earth‘s climate, the isotope record has two advantages. First, it is a global record: there is remarkably little variation in isotope ratios in sedimentary specimens taken from different continental locations. Second, it is a more continuous record than that taken from rocks on land. Because of these advantages, sedimentary evidence can be dated with sufficient accuracy by radiometric methods to establish a precise chronology of the ice ages. The dated isotope record shows that the fluctuations in global ice volume over the past several hundred thousand years have a pattern: an ice age occurs roughly once every 100,000 years. These data have established a strong connection between variations in the Earth‘s orbit and the periodicity of the ice ages. However, it is important to note that other factors, such as volcanic particulates or variations in the amount of sunlight received by the Earth, could potentially have affected the climate. The advantage of the Milankovitch theory is that it is testable: changes in the Earth‘s orbit can be calculated and dated by applying Newton‘s laws of gravity to progressively earlier configurations of the bodies in the solar system. Yet the lack of information about other possible factors affecting global climate does not make them unimportant.
1. The author of the passage would be most likely to agree with which of the following statements about the Milankovitch theory?

A. It is the only possible explanation for the ice ages. B. It is too limited to provide a plausible explanation for the ice ages, despite recent research findings. C. It cannot be tested and confirmed until further research on volcanic activity is done. D. It is one plausible explanation, though not the only one, for the ice ages.

Answer - Option D
Explanation - Option 4 is suitable
2. It can be inferred from the passage that the isotope record taken from ocean sediments would be less useful to researchers if which of the following were true?

A. It indicated that lighter isotopes of oxygen predominated at certain times. B. It had far more gaps in its sequence than the record taken from rocks on land. C. It indicated that climate shifts did not occur every 100,000 years. D. It indicated that the ratios of oxygen 16 and oxygen 18 in ocean water were not consistent with those found in fresh water.

Answer - Option B
Explanation - Option 2 is suitable
3. According to the passage, which of the following is true of the ratios of oxygen isotopes in ocean sediments?

A. They indicate that sediments found during an ice age contain more calcium carbonate than sediments formed at other times. C. They can be used to deduce the relative volume of land ice that was present when the sediment was laid down D. They are more unpredictable during an ice age than in other climatic conditions.

Answer - Option C
Explanation - Option 3 is suitable
4. It can be inferred from the passage that precipitation formed from evaporated ocean water has

A. the same isotopic ratio as ocean water B. less oxygen 18 than does ocean water C. less oxygen 18 than has the ice contained in continental ice sheets D. a different isotopic composition than has precipitation formed from water on land

Answer - Option B
Explanation - Option 2 is suitable
5. It can be inferred from the passage that calcium carbonate shells

A. are less common in sediments formed during an ice age B. are found only in areas that were once covered by land ice C. contain radioactive material that can be used to determine a sediment‟s isotopic composition D. reflect the isotopic composition of the water at the time the shells were Formed

Answer - Option D
Explanation - Option 5 is suitable
Direction(6-8): The cleansing of the statute books of provisions that criminalise (1) relations among adults continues, with the Supreme Court finally striking down a colonial-era law that made adultery punishable with a jail term and a fine. In four separate but (2) opinions, a five-judge Bench headed by the Chief Justice of India, Dipak Misra, finally (3) India into the company of countries that no longer consider adultery an offence, only a ground for divorce. They have removed provisions related to adultery in the Indian Penal Code and the Code of Criminal Procedure. According to Section 497 of the IPC, which now stands struck down, a man had the right to initiate criminal proceedings against his wife’s lover. In treating women as their husband’s property, as individuals bereft of agency, the law was (4) gender-discriminatory; aptly, the Court also struck down Section 198(2) of the CrPC under which which the husband alone could complain against adultery. Till now, only an adulterous woman’s husband could prosecute her lover, though she could not be punished; an adulterous man’s wife had no such right. In a further comment on her lack of sexual freedom and her commodification under the 158-year-old law, her affair with another would not (5) to adultery if it had the consent of her husband. “The history of Section 497 reveals that the law on adultery was for the benefit of the husband, for him to secure ownership over the sexuality of his wife,” Justice D.Y. Chandrachud wrote. “It was aimed at preventing the woman from exercising her sexual agency.”
But the challenge before the court was not to (6) the right to file a criminal complaint, by allowing a woman to act against her husband’s lover. It was, instead, to give the IPC and the CrPC a good dusting, to (7) it of Victorian-era morality. It is only in a (8) legal landscape that individual rights flourish — and with the decriminalization of adultery India has taken another step towards rights-based social relations, instead of a state-imposed moral order. That the decriminalization of adultery comes soon after the Supreme Court judgment that read down Section 377 of the IPC to decriminalize homosexuality, thereby enabling diverse gender identities to be unafraid of the law, is heartening. However, it is a matter of concern that refreshing the statute books is being left to the judiciary, without any proactive role of Parliament in amending (9) laws. The shocking message here is not merely that provisions such as Section 497 or 377 remained so long in the IPC, it is also that Parliament failed in its legislative responsibility to (10) them.
6. 1

A. accordant B. consensual C. united D. agreed

Answer - Option B
Explanation - Consensual – relating to or involving consent
7. 2

A. clashing B. synchronised C. concurring D. coexisting

Answer - Option C
Explanation - Concurring – be of the same opinion; agree.
8. 3

A. incorporated B. transported C. assimilated D. integrated

Answer - Option A
Explanation - Incorporated – take in or contain (something) as part of a whole; include.
9. Soon the farmers’ dependence on distant markets catch up (A) / with them, however, as the state bank system (B) / that had sprung up to support speculation collapsed, (C) / dragged agricultural prices and land values down with it. (D)

A. BC B. CD C. AB D. AD

Answer - Option D
Explanation - Replace ‘catch’ with ‘caught’
Replace ‘dragged’ with ‘dragging’
10. It is a travesty of representative democracy when elected (A) / representatives could retain their parliamentary (B) / status even after being alienating from the party’s popular (C) / base on which they were voted in.(D)

A. AB B. BC C. CD D. AD

Answer - Option B
Explanation - Replace ‘could’ with ‘can’
Replace ‘alienating’ with ‘alienated’
11. At America, for instance, shareholders have a comparatively (A) / big say in the running of the enterprises (B) / they own; workers, who are for a most part (C) / only weakly unionized, have much less influence. (D)

A. CD B. BC C. AC D. AB

Answer - Option C
Explanation - Replace ‘at’ with ‘in’
Replace ‘a’ with ‘the’
12. On this spectrum, Japanese capitalism lies even further away from (A) / the American variety no role except to provide capital, managers have been (B) / left alone to run their companies as they saw fit namely, for the benefit (C) / of employees and of allied companies, as much as in shareholders.(D)

A. CD B. AB C. BC D. AD

Answer - Option A
Explanation - Replace ‘saw’ with ‘see’
Replace ‘in’ with ‘for’
13. Jamshedji knew that an industrial revolution can only brought in the country by setting up iron and steel industry.

A. an industrial revolution can only be brought in the B. an industrial revolution can only bring in the C. an industrial revolution only can be brought in the D. an industrial revolution can only be bring in the

Answer - Option A
Explanation - bring is a verb. So it take object. There is no object after bring in above sentence. so it should be in passive form. So correct form of verb is can + only +be +verb (III). This is only in option A).
14. For years I do my washing by hand; then last year I a washing machine and I must say it has made washing day much exhausting.

A. For years I did my washing by hand; then last year B. For years I have doing my washing by hand; then last year C. For years I have done washing by hand; then last year D. For years I have been doing my washing by hand; then last year

Answer - Option C
Explanation - for indicates that the above sentence is in perfect continuous tense. Correct form of perfect continuous is only in option C
15. Union Minister for Railways Piyush Goyal, co-incharge for the Bharatiya Janata Party’s campaign in Karnataka, spoke on the party’s campaign, an separate flag for the State, and the demands by sections of the Lingayat community for minority status.

A. spoke on the party campaign, a separate flag for the State B. spoke on the party’s campaign, an separated flag for the State C. spoke on the party’s campaign, a separate flag for the State D. spoke on the party campaign, an separated flag for the State

Answer - Option C
Explanation - punctuation mark (’) is used to indicate possessions. In above sentence campaign is of the party. So we use punctuation mark with party to show this.
Separate is consonant sound word so ‘a’ article is used instead of ‘an’.
16. Not surprisingly, the Centre, already under fire for_______ with high fuel taxes despite the rise in the global prices of crude in recent months, faced fresh flak over this_______ cut.

A. disapprove, accessible B. counteract, agape C. persisting, cursory D. transient, depthless

Answer - Option C
Explanation - persisting – continue in an opinion or course of action in spite of difficulty or opposition. cursory – hasty and therefore not thorough or detailed.
17. For the BJP-led government at the Centre, ___________ for several Assembly elections this year followed by the general election in 2019, the pressure to check pump-level fuel prices is ___________.

A. maintain, withhold B. preserve, neglect C. fleeting, shun D. gearing up, intensifying

Answer - Option D
Explanation - gearing up – to prepare yourself, or to prepare something for an activity or event. intensifying – become or make more intense.
18. It is in this context that Kerala’s decision to slash the sales tax on fuel changes the___________ of the debate as States have also been raking in easy oil___________.

A. disapproval, exclusionary B. remain, discriminative C. retain, confined D. narrative, revenue

Answer - Option D
Explanation - narrative – a spoken or written account of connected events; a story.
revenue – income, especially when of an organization and of a substantial nature.
Directions(19:20): In each of the following questions, a sentence is written in four different ways conveying some meaning and following or may not following the correct grammar structure. Choose the sentence among the four options which is grammatically correct. If there is no error in any of the sentences, choose (e), i.e. “All are correct” as the answer.
19.

A. In life, we play many roles but there is one principal role that we share in common that is to be the best human being possible. B. The common role we play in life is to be best human being possible. C. Role is played by us in life which is principle in ways other than common. D. Best human being is a principle played by everyone in life so as to become a common man.

Answer - Option A
Explanation - Option A is suitable.
20.

A. Channelizing energy is needed for stability to prevail in form of peace and harmony. B. Peace and harmony needs to be channelize in the way of stability to form. C. Crucial role played to channelize energy is needed for peace and harmony. D. For stability, peace and harmony to prevail, it is crucial to channelize one’s energy towards constructive actions.

Answer - Option D
Explanation - Option D is suitable.
Direction(21-25): In the following question, out of the five alternatives, select the word similar in meaning to the given word.
21. Choose the word meaning SIMILAR to the word: PROTRACTED

A. Continued B. Alleviation C. Abstain D. Soothe

Answer: A
22. Choose the word meaning SIMILAR to the word: BOLSTER

A. Demoralize B. Endanger C. Temporary D. Strengthen

Answer: D
23. Choose the word meaning SIMILAR to the word: MALADROIT

A. Efficacious B. Inexpert C. Veteran D. Convenient

Answer: B
24. Choose the word meaning SIMILAR to the word: ATONE

A. Obligate B. Detain C. Apologize D. Descend

Answer: C
25. Choose the word meaning SIMILAR to the word: INTERLOCUTOR

A. Detachment B. Questioner C. Acceptor D. Purge

Answer: B

1. What is the digit in the unit’s place of [latex]{2}^{51}[/latex]?

A. 2 B. 8 C. 1 D. 4

Answer - Option B
Explanation - Divide 51 by cyclic of 2 i.e. 4. Remainder = 3. Now you can find [latex]{2}^{3}[/latex] = 8. Thus [latex]{2}^{nd}[/latex] option
2. A hundred digit number is formed by writing first 54 natural numbers one after the other as 123456___5354. Find the remainder when this number is divided by 8.

A. 4 B. 7 C. 2 D. 0

Answer - Option C
Explanation - We need to look at only the last three digits of this number.
So 354 divided by 8 gives remainder as 2. Thus 2 is the answer. Thus [latex]{3}^{rd}[/latex] option
3. If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following statements is/ are true? (1) n is odd (2) n is prime (3) n is a perfect square

A. 1 only B. 2 only C. 3 only D. 1&3 only

Answer - Option D
Explanation - If we are given 2 numbers, we find the HCF only once. Similarly if we are given 3 numbers, we find the HCF twice and so on. So in order to find the HCF of n numbers, the number of times we need to find the HCF is ‘n – 1’. Thus [latex]{2}^{nd}[/latex] option
4. Pedology : Soil :: Taxonomy : ?

A. Classification B. Farming C. Nature D. Water

Answer - Option A
Explanation - First is the study of second
5. Connoisseur : Art :: Gourmet : ?

A. Money B. Food C. Drink D. Flesh

Answer - Option B
Explanation - First has a taste of the second
6. Newness : Antiquity :: Novelty : ?

A. Culture B. Model C. Oldness D. Discovery

Answer - Option C
Explanation - First word is an antonym of second
7. Suppose you are a team leader and some discussion are

A. You listen to other point of view B. You believe in over all participation C. You consider your ideas are supreme D. You would be reluctant to accept the view of others

Answer - Option A
Explanation - You listen to other point of view
8. When some one directly criticises your behaviour, how will you behave?

A. Ready to close up and stop listening B. Become upset about it C. Carefully listen to their opinion D. Think of ways to change your behaviour

Answer - Option C
Explanation - Carefully listen to their opinion
9. Identify the figure that completes the pattern.

A. 1 B. 2 C. 3 D. 4

Answer - Option D
Explanation -
10. Identify the figure that completes the pattern.

A. 1 B. 2 C. 3 D. 4

Answer - Option C
Explanation -
11. Identify the figure that completes the pattern.

A. 1 B. 2 C. 3 D. 4

Answer - Option D
Explanation -
12. If 1 × 10 = 9, 2 × 10 = 18, 3 × 10 = 27, then what is 8 × 10 = ?

A. 36 B. 72 C. 78 D. 52

Answer - Option B
Explanation - 1 × 10 = 10 – 1 = 9
2 × 10 = 20 – 2 = 18
3 × 10 = 30 – 3 = 27
4 × 10 = 40 – 4 = 36
Similarly,
8 × 10 = 80 – 8 = 72
Hence, option B is correct.
13. 6 : 21 :: 3 : ?

A. 28 B. 18 C. 61 D. 32

Answer - Option C
Explanation - 6 + 21 = 27 = 3 × 3 × 3 ⇒ [latex]{3}^{3}[/latex]
Similarly,
3 + 61 = 64 = 4 × 4 × 4 ⇒ [latex]{4}^{3}[/latex]
In this question, addition of numbers getting cube of a another number.
Hence, option C is correct.
14. 91 : ? : : 64 : 54

A. 63 B. 101 C. 32 D. 70

Answer - Option A
Direction(15-16): In each of the following questions, you are given a figure (X) followed by four alternative figures (1), (2), (3) and (4) such that figure (X) is embedded in one of them. Trace out the alternative figure which contains fig. (X) as its part.
15. Find out the alternative figure which contains figure (X) as its part.

A. 1 B. 2 C. 3 D. 4

Answer - Option B
Explanation -
16. Find out the alternative figure which contains figure (X) as its part.

A. 1 B. 2 C. 3 D. 4

Answer - Option B
Explanation -
Direction(17-18): Each of the following questions consists of two sets of figures. Figures A, B, C and D constitute the Problem Set while figures 1, 2, 3, 4 and 5 constitute the Answer Set. There is a definite relationship between figures A and B. Establish a similar relationship between figures C and D by selecting a suitable figure from the Answer Set that would replace the question mark (?) in fig. (D).
17. Select a suitable figure from the Answer Figures that would replace the question mark (?).

A. 1 B. 2 C. 3 D. 4

Answer - Option A
Explanation - The figure gets vertically inverted.
18. Select a suitable figure from the Answer Figures that would replace the question mark (?).

A. 1 B. 2 C. 3 D. 4

Answer - Option C
Explanation - Except for the dots, the remaining part of the figure rotates through 180o and shifts to the opposite side of the square boundary.
19. Select a suitable figure from the Answer Figures that would replace the question mark (?).

A. 1 B. 2 C. 3 D. 4

Answer - Option B
Explanation - Each one of the upper elements is replaced by an element similar to the lower element(s) and each one of the lower elements is replaced by an element similar to the upper element(s).
Direction(20-21): Each of these questions given below contains three elements. These elements may or may not have some inter linkage. Each group of elements may fit into one of these diagrams at (A), (B), (C), (D) and/or (E). You have to indicate the group of elements which correctly fits into the diagrams.
20. Which of the following diagrams indicates the best relation between Travelers, Train and Bus ?

A.

B.

C.

D.

Answer - Option C
Explanation - Bus and Train are different from each other but some travelers travel by bus and some travel by train
21. Which of the following diagrams indicates the best relation between Profit, Dividend and Bonus ?

A.

B.

C.

D.

Answer - Option B
Explanation - Bonus and Dividend are different from each other. But both these are parts of profit.
Direction(22-25): Study the information below and answer the following question: – In a certain code language ‘Providence and treasury stability‘ is written as ‘gh mk ru st’ ‘treasury of countries depleting‘ is written as ‘tl zm ak gh‘ ‘taxes stability countries finer‘ is written as ‘dj ru zm pn‘ ‘finer to revive Providence‘ is written as ‘br ht dj st‘ (All codes are two-letter codes only)
22. What does the code ‘tl’ stand for in the given code language?

A. and B. Either ‘of’ or ‘depleting’ C. taxes D. to

Answer - Option B
Explanation - Providence – st
Treasury – gh
Stability – ru
Countries – Zm
Finer – dj
Either ‘of’ or ‘depleting’
23. Which of the following may possibly represent ‘revive to‘ in the given code?

A. zm ht B. bt zm C. ht co D. br ht

Answer - Option D
Explanation -
Treasury – gh
Stability – ru
Countries – Zm
Finer – dj
br ht
24. What is the code for ‘Providence’ in the given code language?

A. st B. Either ‘mk’ or ‘ru’ C. gh D. dj

Answer - Option A
Explanation -
Treasury – gh
Stability – ru
Countries – Zm
Finer – dj
st
25. What is the code for ‘stability’ in the given code language?

A. st B. gh C. ru D. ak

Answer - Option C
Explanation -
Treasury – gh
Stability – ru
Countries – Zm
Finer – dj
ru

Direction(1-5): Study the Pie Chart and answer the following questions

Note: Cakes on Everyday day = No of Vanilla Cakes + No of Chocolate Cakes
1. The ratio of Number of Vanilla Cakes Sold to Chocolate Cakes Sold is 2:1 of the total cakes sold on Monday and the ratio of the number of Vanilla Cakes Sold to Chocolate Cakes Sold is 3:2 in the total Cakes sold on Wednesday. Then difference of Vanilla Cakes Sold on Monday and Vanilla Cakes sold on Wednesday is?

A. 13 B. 14 C. 15 D. 16

Answer - Option B
Explanation - Monday Cakes sold = 84 × 11.5 = 966
Ratio of Vanilla: Chocolate = 2:1
Vanilla = 644
Wednesday: 1050
Ratio of Vanilla: Chocolate = 3:2
Vanilla = 630
2. If the ratio of Vanilla Cakes Sold on Thursday to Vanilla Cakes sold on Saturday is 3:4, Number of Chocolate Cakes Sold on Thursday is equal to Number of Chocolate on Saturday then Number of Chocolate Cakes sold on Saturday is equal to total number of Cakes sold on which day?

A. Monday B. Tuesday C. Wednesday D. Thursday

Answer - Option A
Explanation - Thursday = V1 + C = 1218
Saturday = V2 + C = 1302
V2 - V1 = 84
V1 : V2 = 3:4
V1 = 252 V2 = 336
Then C = 996 = 84*11.5 =i.e.,Total Cakes sold on Monday
3. If the average number of Vanilla Cakes Sold on Friday and Sunday are 858 and Number of Chocolate Cakes Sold on Sunday are 72 more than Number of Chocolate Cakes sold on Friday then Number of Chocolate Cakes sold on Friday is?

A. 482 B. 492 C. 498 D. 513

Answer - Option
Explanation - Friday = 1344 = V1+C1
Sunday = 1428 = V2 + C2
Average = [latex]\frac {(V1+V2)}{2} = 858 then V1 + V2 = 1716[/latex]
2772 = 1716 + C1 + C2
C1 + C2 = 1056
C2 - C1 = 72
C1 = 492 = Friday Chocolate Cakes
4. Ratio of Vanilla Cakes Sold to Chocolate Cakes Sold is 46:45 on Tuesday then how many number of Vanilla Cakes are Sold on that day?

A. 540 B. 546 C. 552 D. 562

Answer - Option C
Explanation - Cakes = [latex]84 \times 13 = 1092 [/latex]
Vanilla = [latex]1092 \times \frac {46}{91} = 552[/latex]
5. If the ratio of Vanilla Cakes sold to Chocolate Cakes sold on Monday is 2:1 and the ratio of Selling Price of Vanilla Cake to Chocolate Cake is the 1:4, total amount earned by him on Monday is Rs.9660 then what is the rate of One Vanilla Cake?

A. 4 B. 5 C. 10 D. 20

Answer - Option B
Explanation - Vanilla = [latex]\frac {966 \times 2}{3} = 644[/latex]
Chocolate = [latex] 966 \times \frac {1}{3}[/latex] = 322
R1 : R2 = 1:4
644 R1 + 322 R2 = 9660
R1 = 5
6. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:

A. 300 kmph B. 360 kmph C. 600 kmph D. 720 kmph

Answer - Option D
Explanation - Distance = (240 x 5) = 1200 km.
Speed = [latex] \frac {Distance}{Time}[/latex]
Speed = [latex]\frac {1200}{(\frac {5}{3})}[/latex] km/hr. [We can write 1 hours as [latex] \frac {5}{3}[/latex] hours]
Required speed = [latex](1200 \times \frac {3}{5})[/latex]km/hr = 720 km/hr.
7. 25 litre of solution contains alcohol and water in the ratio 2:3. How much alcohol must be added to the solution to make a solution containing 60% of alcohol ?

A. 10.5 ltr B. 11.5 ltr C. 12.5 ltr D. 13.5 ltr

Answer - Option C
Explanation - Initially alcohol [latex]\frac {2}{5} \times 25 = 10 [/latex]ltr and water is 15 ltr.
To make a solution of 60% alcohol [latex]\frac{(10 + x)}{25 } + x = \frac {60}{100} X = 12.5[/latex]
8. A man spends Rs.2480 to buy lunch box Rs.120 each and bottles at Rs.80 each,What will be the ratio of maximum number of bottles to lunch box are bought ?

A. 13:12 B. 11:13 C. 9:12 D. 7:10

Answer - Option A
Explanation - Check the ans using option
[latex]13 \times 80 + 12 \times 120 = 1040 + 1440 = 2480[/latex]
9. The average value of property of Agil, Mugilan and Anitha is Rs.130cr.The Property of Agil is 20cr greater than the property value of Mugilan and Anitha property value is 50cr greater than the Agil property value. The value of property of Anitha is

A. 120cr B. 170cr C. 100cr D. 150r

Answer - Option B
Explanation - Property value of Mugilan x
[latex]130 \times 3 = x + x + 20 + x + 20 + 50[/latex]
390 = 3x + 90
3x = 300
X = 100
Anitha = 100 + 20 + 50 = 170
10. A man took a certain sum as loan from bank at a rate of 9% SI per annum. The man lends the same amount to another person at 15% SI per annum. If at the end of 4 years man made a profit of Rs. 9000 from the deal. What was the original sum ?

A. Rs.32,700 B. Rs.39000 C. Rs.37500 D. Rs.32500

Answer - Option C
Explanation - [latex]\frac {P \times 15 \times 4}{100} – \frac { P \times 9 \times 4}{100} = 9000[/latex]
60P – [latex]\frac {36P}{100}[/latex] = 9000
24P = 900000
P = 37500
11. A man lends Rs.20000 in four parts if he gets 8% on Rs.4000, 6(1/2)% on Rs. 8000 and 8(1/2)% on Rs.6000. What percent must he get for the remainder, if his average annual interest is 9.13%?

A. 13,8% B. 23.8% C. 12.8% D. None of these

Answer - B
Explanation - [latex] \frac {4000 \times 8 \times 1}{100} – \frac {8000 \times 13 \times 1}{2} \times 100 + \frac{(6000 \times 17 \times 1)}{100} + \frac {(2000 \times R \times 1)}{100} = \frac {9.13}{100} \times 2000 = 23.8%[/latex]
12. A part of 70000 is lent out at 10% annum. The rest of the amount is lent out at 5% per annum after one year. The ratio of interest after 3 years from the time when first amount was lent out is 1:2. Find the second part that was lent out at 5%.

A. 40000 B. 50000 C. 60000 D. 48000

Answer - Option C
Explanation - [latex]\frac {10 \times 3 \times x}{5 \times 2 \times y} = \frac {1}{2}[/latex]
[latex]\frac {x}{y} = \frac {1}{6}[/latex]
[latex]\frac {6}{7} \times 70000 = 60000[/latex]
13. Aryan sold a repair mobile to Bhaskar at a profit of 30% and Bhaskar sold it to Chandu at a profit of 20%. Chandu sold it to Dinesh at a loss of 23.07%. Dinesh repaired the mobile by spending 5% of his purchasing price and then sold it again to Aryan at a profit of 3.17%.Then what is the loss of Aryan?

A. 5% B. 10% C. 15% D. No Loss No Profit

Answer - Option
Explanation - Let CP = 100
SP = 130
Bhaskar = 156
Chandu = 120
Dinesh = 126 + 3.17% = 130
Aryan = 130 - 130 = 0
14. Two persons A and B invested in a business with 115000 and 75000 rupees respectively. They agree that 40% of the profit should be divided equally among them and rest is divided between them according to their investment. If A got 500 rupee more than B, then the total profit is.

A. 3599.34 B. 3699.34 C. 3958.34 D. 3999.34

Answer - Option C
Explanation - Ratio in which the profit will divide – 23:15. Let the profit be P
now, [latex][(\frac{23}{38}) – (\frac{15}{38})] \times (\frac {60}{100}) \times P = 500[/latex]
P = 3958.34
15. A, B and C invested in a business with 40000, 50000 and 60000 rupees respectively. After one year A withdraw 10000 and C invest 5000. After another one year B invest 15000 more and A deposit 5000 more. At the end of 3 years, profit between A, B and C are distributed in the ratio.

A. 21:33:34 B. 21:33:38 C. 21:38:33 D. 33:34:38

Answer - Option B
Explanation - The investment made by A, B and C is 40000, 50000, 60000 initially.
In second year – 30000, 50000, 65000
In third year – 35000, 65000, 65000
So final ratio – 105000: 165000: 190000. i.e 21:33:38
16. A jar contains ‘x’ liters of Milk, a seller withdraws 25 liter of it and sells it at Rs.20 per liter. He then replaces it water. He repeated the process total three times. Every time while selling he reduces selling price by Rs.2. After this process Milk left in the mixture is only 108 liters so he decided to sell the entire Mixture at Rs. 15 per liter. Then how much profit did he earned if bought Milk at Rs.20 per liter?

A. Rs.50 B. Rs.70 C. Rs.90 D. Rs.100

Answer - Option B
Explanation - Seller sells Milk at Rs.20,18 and 16 respectively for three times
[latex] 25 \times (20 + 18 + 16) = 1350 [/latex]
108 = [latex] x(\frac {1 - 25}{100}) 3[/latex]
x = 256 liter
He sold entire 256 at Rs.15 = [latex]256 \times 15 = 3840[/latex]
Cost price =[latex] 256 \times 20 = 5120[/latex]
profit = 5190 - 5120 = 70
17. A contractor undertakes to make a mall in 60 days and he employs 30 men. After 30 days it is found that only one- third of the work is completed. How many extra men should he employ so that the work is completed on time?

A. 20 men B. 25 men C. 30men D. 40 men

Answer - Option C
Explanation - Let total work is w and it is given that one-third of the work is completed after 30 days. Means
[latex] M \times D = 30 \times 30 = \frac {w}{3},[/latex] so total work = [latex]30 \times 30 \times 3[/latex]
[latex]2700 = 30 \times 30 + (30 + p) \times 30,[/latex] so we get P = 30 (p = additional men)
18. Neha takes 5 hours to type 40 pages while sunil takes 6 hours to type 60 pages. How much time will they take working together on different computer to type an assignment of 180 pages.

A. 5hr B. 7hr C. 9hr D. 10hr

Answer - Option D
Explanation - In one hour number of pages type by neha = [latex]\frac {40}{5}[/latex] = 8 and similarly for sunil it is [latex]\frac {60}{6}[/latex] = 10.
Now to type 180 pages they will take, [latex](8 + 10) \times T = 180, T = 10[/latex] hours
19. A contractor undertook a job and employed 40 men to do a piece of work in 80 days. But after 60 days he found that only 3/5 of the work is completed. To complete the work in time, how many more men he should employ.

A. 15 B. 20 C. 25 D. 40

Answer - Option D
Explanation - [latex] \frac {(40 \times 60)}{3} = \frac {(x \times 20)}{2}[/latex]
x = 80
No of men required = 80 - 40 = 40
20. 3 men and 4 women can complete a piece of work in 12 while the same is finished by 2 men and one woman in 15 days. A boy who is 25% less efficient than that of man can complete the piece of work in how many days.

A. [latex]\frac {400}{11}[/latex] B. [latex]\frac {420}{11}[/latex] C. [latex]\frac {430}{11}[/latex] D. [latex]\frac {450}{11}[/latex]

Answer - Option A
Explanation - 3m + 4w = [latex] \frac {1}{12}[/latex]
2m + w = [latex] \frac {1}{15}[/latex]. After solving we one day work of man = [latex] \frac {33}{900}[/latex]
One day work of the boy is = [latex] \frac {75}{100} \times (\times \frac {33}{900}) = \frac {11}{400}[/latex]. So no of days needed will be [latex]\frac {400}{11}[/latex]
21. The perimeter of a rectangular field is 120 m and the difference between its two adjacent sides is 30 m. The sides of the square field whose area is equal to this rectangular field is?

A. [latex]15 \sqrt{2}[/latex] B. [latex]12 \sqrt{2}[/latex] C. [latex]15 \sqrt{3}[/latex] D. [latex]12 \sqrt{3}[/latex]

Answer - Option C
Explanation - Perimeter of rectangle = 2(l + b) = 120
l + b = 60m — (1)
l – b = 30m –(2)
From (1) and (2)
l = 45 m; b = 15m
Area of rectangle = 675[latex]{m}^{2}[/latex] = Area of Square
Side of a square = [latex]15 \sqrt{3}[/latex]
22. Two roads each 10m wide has been made running perpendicularly to each other inside a rectangular field of dimension 90m X 50m. What is the cost of spreading pebbles over them at the rate of Rs.8 per m².?

A. 10400 B. 15400 C. 17500 D. 20600

Answer - Option A
Explanation -
Area of Roads = [latex](l + b – w) \times w[/latex]
Area of Roads = [latex](90 + 50 – 10) \times 10 = 1300{m}^{²}[/latex]
Cost = [latex] 1300 \times 8 = 10400[/latex]
23. The total cost of painting the walls of a room is Rs 475. Find the cost of painting the walls of another room whose length, breadth and height each are double than the dimensions of the previous room.

A. 1780 B. 1900 C. 1846 D. 1960

Answer - Option B
Explanation - Area of first room = [latex]2(l + b) \times h[/latex]
After all dimensions doubled, new area = [latex]2(2l + 2b) \times 2h = 4[2(l + b) \times h ][/latex] = 4 times previous area, so cost of painting = [latex]4 \times 475[/latex]
24. If [latex]\frac {2sin θ - cos θ }{cos θ + sin θ} = 1[/latex] then the value of [latex]cot θ[/latex] is.

A. [latex]\frac {1}{2}[/latex] B. [latex]\frac {1}{3}[/latex] C. 3 D. 2

Answer - Option A
Explanation - Dividing numerator and denominator by sin θ
[latex]\Rightarrow \frac {\frac {2 sin θ – cos θ}{sin θ}}{\frac {cos θ + sin θ}{sin θ}} = 1[/latex]
[latex]\Rightarrow \frac {2 - cotθ}{1 + cot θ} = 1[/latex]
[latex]\Rightarrow 2 – cot θ = 1 + cot θ[/latex]
[latex]\Rightarrow cot θ = \frac {1}{2}[/latex]
Hence, option A is correct.
25. If [latex](cot \frac {\pi }{2} - θ) = \sqrt{3}[/latex], then the value of [latex]cot θ[/latex] is.

A. 0 B. [latex]\frac {1}{\sqrt{2}}[/latex] [latex]\frac {1}{2}[/latex] D. 1

Answer - Option C
Explanation - [latex](cot \frac {\pi }{2} - θ) = \sqrt{3}[/latex]
[latex]\Rightarrow tan θ = \sqrt{3}[/latex]
[latex](cot \frac {\pi }{2} - θ) = tanθ[/latex]
i.e, θ = 60°
Hence, cos 60° = [latex]\frac {1}{2}[/latex]
Therefore, the right option is C.