RRB NTPC Tier I Official Paper (Held On: 27 Apr 2016 Shift 3) (Previous Year Paper)

Introducing a man, Shamita said, “He is the only son of my mother’s mother.”

Mother’s mother is maternal grandmother and son of maternal grandmother is maternal uncle. So, the man is maternal uncle of Shamita or Shamita is the niece of the man.

Hence, ‘niece’ is the correct answer.

Given: 2x + 3 = 9

Calculation: 

⇒ 2x + 3 = 9

⇒ 2x = 6

⇒ x = 3 

⇒ So, 3x + 2 = 3 × 3 + 2 = 11

∴ Required Answer is 11

Option 4 is correct, i.e. root.

• Radish is an example of tap root fusiform.
• Modified tap root is the edible component of radish.
• The taproot is the primary and dominant root on a plant with a taproot network.
• A taproot is usually straight, and very dense.
• This is tapering in shape and grows downward directly.
• There are different types of adapted tap roots, such as fusiform, napiform, conical and tuberous roots.

Pointing to a man in a photograph, Gunjan said, “His mother’s only daughter is my mother.

Man’s mothers only daughter is sister of the man, and the man’s sister is mother of Gunjan. So, the man is maternal uncle of Gunjan or Gunjan is niece of the man.

Hence, Gunjan is niece of that man.

Note: Certain changes are done in the question as it was erroneous.

Option 1 is correct, i.e. Charge may accumulate on the metal surface and there is danger of getting a shock.

One should use porcelain and not metal containers in a microwave oven because:

• Porcelain is fired at extremely high temperatures-to the point of water boiling up. That means porcelain won't have any water inside it.
• Porcelain vessels are better conductors of heat and thus food gets cooked quickly.
• Porcelain vessels are cheaper than the metal containers.

Option 2 is correct, i.e. Badminton.

Badminton: Cup and Trophies

• Sudirman Cup
• Rahmatullah Cup (National Team Men)
• Chadda Cup (National Team Women)
• Thomas Cup (World Team, Men) starting from 1948
• Uber Cup (World Team women) starting from 1956–57
• Wills Cup
• Amrit Diwan Cup
• Konica Cup
• Yonex Cup
• Vikas Topiwala Challenge Cup (National Men)
• Olympian Challenge Cup (National Women)
• Narang Cup (National Junior Men) Shafi Kuraishi Cup (National Junior Team Women)
• Mayor's Cup
• 555 World Cup
• China Cup
• Federation Cup
• All India Badminton Association Cup (National Women Double Badminton)
• Kolkata Badminton Cup (National Men Double)

Option 2 is correct, i.e. 1987.

• The Augmented Satellite Launch Vehicle, or Advanced Satellite Launch Vehicle, also known as ASLV, was a five-stage solid-fuel small-lift launch vehicle designed by the Indian Space Research Organization (ISRO) for placing 150 kg of satellites in LEO.
• The ASLV made four attempts, one of which was successful, two of which failed to enter orbit, and a third reached a lower than expected orbit that rapidly decayed. On 24 March 1987, the type made its maiden flight, and its final flight on 4 May 1994.
• All four ASLV launches occurred from the ASLV Launch Pad at the Sriharikota Range.

LCM of 1 hour, 2 hours, and 3 hours = 6 hours

∴ All the clock's alarm together at an interval of 6 hours.

They all alarmed together three hours before.

∴ They will again alarm together after 3 hours

Detailed solution:

Given:

Three clocks are designed to alarm every hour, two hours, and three hours respectively.

They all alarmed together three hours before:  

Calculation:

3 Clocks are designed to alarm every 1, 2 and, 3 hour

Such that clock A will alarm every hour, B will alarm once in 2 hours, C will alarm once in 3 hours.

Starting from 12 pm,

A alarm = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

B alarm = 2, 4, 6, 8, 10, 12

C alarm = 3, 6, 9, 12

Common alarm at 6, 12

They all alarmed together three hours before.

∴ The common alarm will be 3 hours later.

Option 3 is correct, i.e. World Anti-Doping Agency.

• World Anti-Doping Agency is the international independent agency whose key activities include scientific research, education, development & monitoring of anti-doping capacities and code in all sports and all countries.
• The World Anti-Doping Agency (WADA) is headquartered in Montreal, Canada.
• It is a foundation created through a collective initiative led by the International Olympic Committee (IOC).
• It was set up on November 10, 1999 in Lausanne, Switzerland, as a result of what was called the "Declaration of Lausanne", to promote, coordinate and monitor the fight against drugs in sports.
• Effective 1 January 2020, Witold Bańka commenced in his role as President of the World Anti-Doping Agency (WADA).

Option 4 is correct, i.e. Martina Hingis & Leander Paes.

• The 2015 Wimbledon Championships was a tennis tournament that was played June 29 to July 12, 2015.
• The tournament was played at All England Lawn Tennis Club and Croquet Club in Wimbledon, London, UK.
• Men's Singles Title: Defending Serbian champion Novak Djokovic won the 2015 Wimbledon Men's Singles championship.
• Women's Singles Title: At the 2015 Women's Singles Wimbledon championship, Serena Williams of the United States prevailed.
• Women's Doubles Title: Sania Mirza (India) and the pair Martina Hingis (Switzerland) won the 2015 Doubles Wimbledon Championship for women.
• Men's Doubles Title: The 2015 men's Doubles Wimbledon Title was won by Jean-Julien Rojer (Netherlands) and Horia Tecău (Romania).
• Mixed Doubles Title: Leander Paes (India) and the pair Martina Hingis (Switzerland) captured the 2015 Wimbledon Mixed Doubles trophy.

Column 1: 12 × (18 ÷ 3) = 72

Column 3: 16 × (32 ÷ 4) = 128

Similarly,

Column 2: 14 × (24 ÷ ?) = 112

On solving, we get ? = 3

Hence, ‘3’ is the correct answer.

Option 1 is correct, i.e. Only 1 and 2.

• The UAV stands for Unmanned Aerial Vehicle.
• The DRDO Nishant was an Unmanned Aerial Vehicle (UAV) developed for the Indian Armed Forces by the Aeronautical Design Establishment of India (ADE), a branch of the Defense Research and Development Organization (DRDO).
• Lakshya is an Indian high speed target drone system remotely piloted, developed by DRDO's Aeronautical Development Establishment (ADE). A Lakshya-1 version is used to conduct discreet battlefield and target acquisition aerial reconnaissance.

Extra facts:

• India' first private sector unit for manufacturing unmanned aerial vehicles (UAVs) opened at Adani Aerospace Park in Hyderabad.
• The Adani Aerospace Park facility has been built by the Adani Group and Israel-based Elbit Systems.
• The facility will develop 'Hermes 900' medium altitude long-endurance UAVs for the Indian and global markets.

Option 3 is correct, i.e. Hepatology.

• Hepatology: It is branches of medical science deals with the study and treatment of the liver
• Helcology: The study, pathology, and treatment of ulcers.
• Heterology: A lack of correspondence of apparently similar bodily parts due to differences in fundamental makeup or origin heterology in nucleic-acid base pairs in phenotypically similar yeasts.
• Geriatrics: The branch of medicine or social science dealing with the health and care of old people.
• Podopediatrics is a speciality of podiatric medicine which focuses on the treatment of lower limb medical problems in children.
• Nephrology is the study of the kidney in the Human body.
• Pulmonology is the study of the lungs.

Average = sum of observation/ no. of observation

From the table,

Average production of 1996 and 1997 = (4000000 + 6000000)/2 = 5000000 tonnes

Average production of 2000 and 2001 = (7500000 + 5000000)/2 = 6250000 tonnes 

Average Production of 1999 and 2000 = (6500000 + 5000000)/2 = 5750000 tonnes

Average Production of 1998 and 2000 = (4500000 + 5000000)/2 = 4750000 tonnes

Average production of 1995 and 2001 = (2500000 + 7500000)/2 = 5000000 tonnes

∴ Average production of 1996 and 1997 was exactly equal to the average production of 1995 and 2001.

Percentage increase in 1996 = (40 – 25)/25 × 100% = 60%

Percentage increase in 1997 = (60 – 40)/40 × 100% = 50%

Percentage increase in 1999 = (65 – 45)/45 × 100% = 44.44%

Percentage increase in 2001 = (75 – 50)/50 × 100% = 50%

Percentage increase in 2002 = (80 – 75)/75 × 100% = 6.67%

∴ In 1996 percentage increase in production as compared to the previous year was maximum

Production of Pesticides in 1995 = 2500000 tonnes

Production of Pesticides in 2002 = 8000000 tonnes

∴ Percentage increase = (8000000 – 2500000)/2500000 × 100% = 220%

Option 4 is correct, i.e. M Veerappa Moily.

• On 10 August 2015, the President of India, Pranab Mukherjee, presented Dr M Veerappa Moily, Member of Parliament (Lok Sabha) in New Delhi, with the 24th Saraswati Samman for the year 2014. He has won the award for his Kannada-written epic Sri Ramayana Mahanveshanam.
• Govind Mishra is an Indian novelist, who wrote over 53 novels. He was also an Indian Revenue Service civil servant, and retired in 1997 as Chairperson, Central Board of Direct Taxes.
• Sugathakumari is an Indian poet and activist in Kerala, South India, who has been at the forefront of environmental and feminist movements.
• Dilip Parulekar is a Goa State Indian politician. He is a two-term Goa Legislative Assembly member representing the Saligao constituency. Parulekar was a minister in the Goa-led government headed by Laxmikant Parsekar. Its portfolios included the production of women and girls, tourism, ports and the Protocol.

Option 1 is correct, i.e. Bose-Einstein Condensate (BEC).

• Conventionally we are aware of three states of matter Solid, Liquid and Gas. But over the years scientists have been discussing two additional states of matter i.e. Plasma state and Bose-Einstein Condensate.
• Plasma is the state in which particles are in the Super energized and super excited state.
• Bose-Einstein condensate is formed when particles at low densities are cooled to super-low temperature like absolute zero (-273.5 degree Celsius).
• This concept was first put by S N Bose and later developed by Albert Einstein and thus came to be known as Bose-Einstein condensate.
• In 2001 Eric Cornell, Carl E. Weiman, and Wolfgang were awarded the Nobel for achieving this state.

The trained unmarried lecturers in the college are represented by the number which lies in the intersection of triangle and rectangle, = 4.

Hence, ‘4’ is the correct answer.

7 lies in the intersection of triangle and circle, so it represents married population lecturers in college, i.e, ‘A’.

Hence, option ‘3’ is the correct answer.

Trained married lecturers in the college lies in the intersection of triangle, circle and rectangle, i.e, number ‘5’.

Hence, option ‘2’ is the correct answer.

The relation is:

A. Steel : Utensils → Utensils are made up of steel.

B. Bronze : Statue → Statues are made of bronze.

C. Duralumin : Aircraft → Aircrafts are made of duralumin.

D. Wood : Rails → Rails are made of iron and steel and not wood.

Hence, ‘Wood : Rails’ is the odd one out.

Concept used:

The least number must be subtracted from 98534 to get divisible by 824 will be the remainder when 98534 is divided by 824.

Calculation:

Dividing 98534 by 824, we get 119 as quotient and 478 as remainder

We can also say that, 98534 = 824 × 119 + 478

∴ The least number must be subtracted from 98534 to get a number exactly divisible by 824 is 478

Given: 

Let the average price of a pen be Rs x

Average price of pencil = Rs. 2.5

Formula: 

Average = sum of observation/ Number of observation

Calculation:

According to the question,

⇒ 20x + 46 × 2.5 = 235

⇒ 20x = 235 – 115

⇒ x = 120/20 = 6

∴ Average price of a pen = Rs 6

The correct answer is West Bengal.

Key Points

• The headquarters of Ramakrishna Math and Ramakrishna Mission are situated in an area named Belur in the district of Howrah, West Bengal, India.
• The entire campus of the headquarters is popularly known as ‘Belur Math’. Sprawling over forty acres of land on the western bank of the river Hooghly (Ganga), the place is an hour’s drive from Kolkata.
• The  organizations were brought into existence by Sri Ramakrishna (1836-1886), the great 19th-century saint from Bengal who is regarded as the Prophet of the Modern Age, and Sri Ramakrishna’s chief disciple, Swami Vivekananda (1863-1902), one of the foremost thinkers and religious leaders of the present age, who is regarded as ‘one of the main moulders of the modern world’, in the words of an eminent Western scholar A.L. Basham.

Option 4 is correct, i.e. Zinc.

• Galvanization is a process of applying a protective layer of zinc to iron or steel to prevent rusting.
• Rusting is defined as the process of slow eating away due to the attack of oxygen and moisture on its surface.
• Rusting can be avoided by Paint, Oiling, and Galvanization.

Extra facts:

• Iron plus oxygen plus water vapour gives iron oxide. In areas that have higher humidity, the rusting process takes place faster as the content of moisture in the air is higher.
• This process of rust formation in the presence of oxygen and water or water vapour is called rusting.
• Rusting of Iron takes place due to the redox reaction.
• Rust is an iron oxide, a red oxide formed by the redox reaction of iron and oxygen in the presence of water or air moisture.
• Fe + O₂ → Fe₂O₃ (Iron (III)oxide)

The least possible venn diagram is:

(1) Some bats are doors → True (It is definite)

(2) Some clocks are keys → False (It is not definite)

(3) All the keys are doors → False (It is not definite)

Hence, only conclusion ‘1’ follows.

Moving in clockwise direction, starting from 1, cube series is followed.

1³ = 1, 2³ = 8, 3³ = 27 and 4³ = 64.

Hence, ‘64’ is the correct answer.

√5 = 2.236

∴ √5/2 = 2.236/2 = 1.118

Option 3 is correct, i.e. West Bengal.

Important Points

• The cultivatio n of jute in India is mainly confined to the eastern region of the country.
• The jute crop is grown in nearly 83 districts of seven states - West Bengal, Assam, Orissa, Bihar, Uttar Pradesh, Tripura and Meghalaya.
• West Bengal alone accounts for over 50 percent raw jute production.
• The leading world's jute producing countries are India, Bangladesh, China and Thailand.
• India is the world's largest producer of raw jute and jute goods, contributing to over 50 percent and 40 percent respectively of global production.
• Jute crop requires a humid climate with temperature fluctuating between 24 degree Celsius and 38 degree Celsius.
• Minimum rainfall required for jute cultivation is 1000 mm.
• New grey alluvial soil of good depth receiving silt from annual floods is most suitable for jute growth.
• How ever, jute is grown widely in sandy looms and clay loams.

Option 2 is correct, i.e. Kannada.

• The 92nd Amendment of the Constitution of India is officially known as The Constitution (Ninety-second Amendment) Act, 2003.
• It amended the 8^th Schedule to the Constitution and included Bodo, Dogri, Maithili, and Santhali languages in it.
• Thus taking the count of languages listed in the schedule to 22.

Additional Information

• Sindhi language was added by the 21st Amendment Act of 1967.
• Nepali, Manipuri, and Konkani were added by the 71st Amendment Act of 1992.

No. Of games won by the player = (18 – 12) = 6

∴ required decimal = 6/18 = 0.333

Option 3 is correct, i.e. Magenta.

• Primary colours are those colours which when mixed in specific proportions can form any color.
• The spectral colours i.e. blue, red and green are the primary colours.
• Secondary colours such as yellow, cyan, magenta, etc. can be produced by mixing two primary colours in the right proportion.
• Any two colours which when added produce white light are known as complementary colours.
• We get Magenta as a secondary colour by mixing the primary colours red and blue.

The logic is:

Similarly,

Hence, ‘YLLVEI’ is the correct answer.

Calculation:

0.00000729/0.00000027

⇒ (729 × 10^{– 8})/(27 × 10^{– 8})

⇒ 729/27

∴ 27

a/b = ¼

⇒ a = 2

⇒ 2/b = ¼

⇒ b = 8

Now,

b/c = 1/8

⇒ 8/c = 1/8

⇒ C = 64

As we know,

Value of cos 0° = 1

Statement:

Company ‘X’ had asked its employees to declare income and assets but it has been strongly opposed by the employees’ his/her union and no employee is going to declare his/her income.

Conclusions:

I. The employees of the company ‘X’ do not seem to have any additional income besides their salary. → False

The statement gives no details about the income or income benefits or any such parameter of the employees.

II. The employees’ union want all the senior officer to declare their income first. → False

The statement gives no information why the employees are opposing. So, the conclusion cannot be concluded as true.

Hence, neither I nor II follows.

Option 2 is correct, i.e. B.R. Ambedkar.

• Prime Minister Narendra Modi today released two commemorative coins, as part of the 125th birth anniversary year celebrations of Dr B.R. Ambedkar.
• The coins, which are of ’10-rupee’ and ‘125-rupee’ denomination, were issued by PM on the Mahaparinirvan Divas of Babasaheb Ambedkar.
• The Prime Minister said Dr Babasaheb Ambedkar and the Constitution of India should always be discussed and talked about in this country, and the observance of Constitution Day on November 26th, was a step in this direction.
• PM Modi also appreciated Dr Ambedkar’s vision on subjects such as women empowerment, India’s federal structure, finance and education.

Diagram

In the figure, AB = x cm, BC = (x + 4) cm and AC = (x + 8) cm

According to the question,

AC is hypotenuse, AB = x cm is smaller side and BC = (x + 4) cm is bigger side

In right angle triangle, 

⇒ (hypotnuese)² = (Base)² + (perpendicular)²

⇒ (x + 8)² = x² + (x + 4)²

⇒ x² + 16x + 64 = x² + x² + 8x + 16

⇒ x² – 8x – 48 = 0

⇒ x² – 12x + 4x – 48 = 0

⇒ x(x – 12) + 4(x – 12) = 0

⇒ (x – 12)(x + 4) = 0

⇒ x = 12 or – 4

∴ Length of the bigger side = x + 4 = 12 + 4 = 16 cm

According to the question:

AC is hypotenuse, AB = x cm is smaller side and BC = (x + 4) cm is bigger side

So, though the AC bigger among 3 but here according to the question we are only comparing among other 2 side i.e. base and perpendicular

Option 4 is correct, i.e. Laterite Soil.

Key Points

Laterite soil

• It is found along the edge of the plateau in the east covering small parts of Tamil Nadu, Odisha, a small part of Chotanagpur in the north, and Meghalaya in the north-east.
• It is Reddish to yellow in colour.
• It is unsuitable for agriculture but crops such as coffee, rubber, cinchona, cashew, coconut, etc. are grown on this soil.
• This soil is formed due to the weathering of laterite rocks caused by high temperatures and heavy rainfall with alternate dry and wet spells.

Extra facts:

Additional Information

Alluvial Soil:

• These soils are widespread in the Northern Plains and valleys.
• They are depositional soils, formed mainly due to silt deposited by Indo-Gangetic-Brahmaputra Rivers.
• In the Upper and Middle Ganga Plain, two types of alluvial soils have developed, namely, Khadar (New alluvium) and Bhangar (Old alluvium).

Red Soil:

• The red soil is red in color because of the high iron oxide content in it.
• It is formed by weathering the crystalline and metamorphic mixture of clay and sand.
• It is found in the eastern part of the peninsular region covering Chotanagpur Plateau, Odisha, eastern Chhattisgarh, etc.
• It is suitable for the production of crops such as wheat, rice, millets, pulses, etc.

Regur Soil:

• The Black soil is also known as regur soil.
• It covers a major part of the Deccan plateau including the states of Andhra Pradesh, Gujarat, Madhya Pradesh, Maharashtra, and Tamil Nadu.
• It is also known as black cotton soil.
• These are impermeable, deep, and clayey are rich in alumina, magnesia, iron, and lime.
• Some of the crops grown on it include cotton, jowar, wheat, and linseed, etc.

The option figure that will complete the pattern is shown below:

Hence, option 4 is the correct answer.

Option 3 is the correct, i.e. The Constitution says that the Chief Minister shall be appointed by the Chief justice of the High Court. (Which is not true)

Power/function of Chief Minister:

• The governor elects only those people as ministers, who have been nominated by the Chief Minister.
• The Chief Minister is the chairman of a state’s Planning Board.
• The governor of a state cannot dismiss a Chief Minister as long as the CM receives the support of the majority in Vidhan Sabha(state’s Lower House).

Option 1 is correct, i.e. MODEM.

• A modem is a hardware device that allows a computer to send and receive data over a telephone line or a cable or satellite connection.
• MODEM stands for modulator-demodulator.
• A modem is used for transmitting and receiving data over a communication channel, such as twisted-pair telephone lines, coaxial cables, and optical fibers.
• At the source, the modulation technique is used to convert the analog signal to digital.
• At the receiver, demodulation is used to convert the digital signal back to analog.

⇒ x² + 7x + 10

⇒ x² + 5x + 2x + 10

⇒ x(x + 5) + 2(x + 5)

⇒ (x + 5)(x + 2)

Option 2 is correct, i.e. Lord Cornwallis.

• Lord Cornwallis (1786-1793) was considered as a father of Modern-day Civil Services for reforming and modernizing colonial administration.
• He also introduced Permanent Settlement of revenue which was also called a Zamindari System.
• Lord Cornwallis surrendered at Yorktown in the USA during the American Revolutionary War.
• American Revolutionary war was also called as American War of Independence.
• Hyder Ali died in 1782 due to Cancer during the Second Anglo-Mysore War(1780-1783).

Extra facts:

• Warren Hastings was the first Governor-General of India (bengal) from 1773 to 1785.
• During the reign of Warren Hastings, important acts like the Regulating act of 1773 and the Pitts India Act of 1784 were passed.
• Lord Wellesley introduced Subsidiary Alliance by virtue of which the Indian kingdoms lost their sovereignty to the English during 1798.
• The first Governor General of India was a British statesman and soldier, Lord William Bentinck.
• The office with the title of Governor-General of India came into existence after the Saint Helena Act 1833 (or Government of India Act 1833).

Option 2 is correct, i.e. Certified Emission Reductions.

• Certified emission reductions or CERs are electronic certificates issued for greenhouse gas emission reductions from clean development mechanism (CDM) project activities or programmes of activities (PoAs) in accordance with the CDM rules and requirements.
• Each CER is equivalent to one metric tonne of carbon dioxide (CO₂) avoided or removed from the atmosphere.
• The environmental benefit of CERs can be claimed to offset or compensate your own greenhouse gas emissions, among other uses.
• The environmental benefit of mitigation activities is represented in offset certificates. The offset certificates issued by the clean development mechanism (CDM) are the certified emission reductions (CERs).

Option 3 is correct, i.e. Paris.

• The 2015 United Nations Climate Change Conference, COP 21 was held in Paris from November 30 to December 11.
• It was the 21st yearly session of the Conference of the Parties to the 1992 United Nations Framework Convention on Climate Change (UNFCCC) and the 11th session of the Meeting of the Parties to the 1997 Kyoto Protocol.
• The conference objective is to achieve a legally binding and universal agreement on climate, from all the nations of the world.

Let, the principal be x

⇒ x × (1 + 5/100)⁴ = 431.01 ⇒ x × (1.05)⁴ = 431.01 ⇒ x = 431.01/(1.05)⁴

⇒ x = 354.5, The principal = Rs 354.5

Ratio of time of A, B and C 

⇒ 4 : 5 : 6 

Ratio of time is inversely proportional to efficiency (when work is same)

Ratio of work efficiency of A,B and C,

⇒ 1/4 ∶ 1/5 ∶ 1/6

⇒ 60/4 ∶ 60/5 ∶ 60/6

⇒ 15 ∶ 12 ∶ 10

Ratio of efficiency is directly proportional to Wages

So, Ratio of share of wages of A, B and C = 15 : 12 : 10

let the ratio be x 

⇒ Total share = 777 

⇒ 15x + 12x + 10x = 777

⇒ 37x = 777

⇒ x = 21

⇒ share of A = 15x = 15 × 21 = 315

∴ Required answer is 315

Short Trick:

Cost price of the pendrive = Rs. 1000 × 90/100 × 85/100 = Rs. 765

∴ Total cost = Rs. (765 + 35) = Rs 800

∴ Gain percent = [(1000 – 800)/800] × 100% = 25%

Detailed Solution:

Marked price of the pen drive = Rs. 1000

∴ Price after discount of 10% = Rs. 1000 – (1000 × 10/100) = Rs. 900

∴ Price after another discount of 15% = Rs. 900 – (900 × 15/100) = Rs. 765

∴ Total cost = Rs. (765 + 35) = Rs. 800

Selling price of pendrive = Rs. 1000

∴ Gain percent = [(1000 – 800)/800] × 100% = 25%

The logic is:

Similarly,

Hence, ‘53279’ is the correct answer.

The option figure that will complete the pattern is shown below:

Hence, option 3 is the correct answer.

Rampal told Arjun, “Yesterday I defeated the only brother of the daughter of my grandmother.

Rampal defeated his grandmother’s son who is either his uncle or father.

In option, father is given, which confirms that Rampal defeated his father.

Hence, ‘father’ is the correct answer.

Option 2 is correct, i.e. 1722.

• The Battle of Gulnabad was fought between the military forces from Afghanistan of the Hotaki Dynasty and the army of the Safavid Empire.
• It was fought on 8 March 1722 in Isfahan, Iran.
• The Afghans won the war and began their conquest of the Safavid Empire.
• Numbers and casualty figures of the Gulnabad battle are believed to be between 5, 000 and 15, 000 dead Safavid soldiers.

Option 3 is correct, i.e. 1969.

• Since Apollo 11 was the first spaceflight to land humans on the Moon, Neil Armstrong was the first man on the Moon. On 20 July 1969, at 20:18 UTC, Americans Neil Armstrong and Buzz Aldrin landed.
• Six hours later, on 21 July, Armstrong walked onto the lunar surface, and Aldrin followed him next.
• Mission Objectives: Apollo 11 Moon Landing's primary objective was to fulfill a national target set by President John F. Kennedy on May 25, 1961: to perform a crewed lunar landing and return to Earth.

Short Trick:

LCM of 6, 8, 12 and 16 = 48

∴ 48 is the smallest number that is completely divisibly by 6, 8, 12 and 16.

Detailed Solution:

⇒ 6 = 2 × 3

⇒ 8 = 2 × 2 × 2

⇒ 12 = 2 × 2 × 3

⇒ 16 = 2 × 2 × 2 × 2

∴ LCM of 6, 8, 12 and 16 = 2 × 2 × 2 × 2 × 3 = 48

∴ 48 is the smallest number that is completely divisibly by 6, 8, 12 and 16.

Option 3 is correct, i.e. L.M. Singhvi Committee.

Key Points

●      Panchayati Raj -

• It is a system of local self-government in India.
• It was put in force in 1992 through the 73rd amendment to the Indian Constitution.
• The system has three levels:
• Gram Panchayat (village level),
• Mandal Parishad or Block Samiti or Panchayat Samiti (block level),
• Zila Parishad (district level)
• The Panchayat Raj system was first adopted by the state of Rajasthan in Nagaur district on 2 Oct 1959.
• List of committees constituted for recommendations regarding Panchayati Raj in India: -
• Balwant Rai Mehta, 1957
• V.T. Krishnamachari, 1960
• Takhatmal Jain Study Group, 1966
• Ashok Mehta Committee, 1978
• G.V.K. Rao Committee, 1985
• Dr. L.M. Singhvi Committee, 1986
• P.K. Thungon Committee, 1989
• S. Mohinder Singh, 2013

Option 4 is correct, i.e. Western Ghats.

• Western Ghats is also known as Sahyadri range which is a mountain range runs parallel to the western coast of the Indian peninsula.
• Sometimes it is also called the Great Escarpment of India.
• Western Ghats is a UNESCO World Heritage Site and is one of the 8 “hottest hot-spots” of biological diversity in the world.
• Anamudi (2, 695 m) is the highest peak of the Western Ghats which is located in Kerala.

Short Trick:

Downstream speed = 16/2 = 8 km/h

Upstream speed = 8/2 = 4 km/h

Speed of stream = (speed of downstream - speed of upstream)/2

⇒ Speed of the stream = (8 – 4)/2 = 2 km/h

∴ Required Answer is 2 km/hr

Detailed Solution:

In 2 hours the boat covers 16 km in downstream

∴ In 1 hour the boat covers (16/2) = 8 km in downstream

In 2 hours the boat covers (16/2) = 8 km in upstream

∴ In 1 hour the boat covers (8/2) = 4 km in upstream

⇒ Speed of stream = (speed of downstream - speed of upstream)/2

⇒ Speed of the stream = (8 – 4)/2 = 2 km/h

∴ Required Answer is 2 km/h

The correct answer is option 1, i.e. A (a – r, b – p, c – s, d - q).

Key Points

Binary values are grouped together in the length of 1's and 0's which is called the length of a number.

• Some of the common lengths are bit, byte, nibble etc.
• Each of the 1 and 0 in a binary number is called a bit.

Additional Information 

• Consider the following table for other relations between units.

The official secret Act (OSA) enacted by the ‘ABC’ Government in the year 1930 seems to be one of the major sources of corruption in the country ‘X’.

Conclusions:

I. The Official Secret Act has to be abolished immediately to put an end to the corruption in the country ‘X’. → True

As in the statement it is clearly stated that it is ‘one of the major sources of corruption in the country ‘X’.

II. The ‘ABC’ Government had an intention of encouraging corruption in the Government offices. → False

No such hint or clue can be deduced from the statement.

Hence, only conclusion I follows.

Option 2 is correct, i.e. Atal Bihari Vajpayee.

• AMRUT stands for Atal Mission for Rejuvenation and Urban Transformation.
• It is named after late shri Atal Bihari Vajpayee, who was Prime Minister of India, first for a term of 13 days in 1996, then for a period of 13 months from 1998 to 1999, followed by a full term from 1999 to 2004.

The purpose of Atal Mission for Rejuvenation and Urban Transformation (AMRUT) is to:

• Ensure that every household has access to a tap with the assured supply of water and a sewerage connection.
• Increase the amenity value of cities by developing greenery and well maintained open spaces (e.g. parks) and
• Reduce pollution by switching to public transport or constructing facilities for non-motorized transport (e.g. walking and cycling). All these outcomes are valued by citizens, particularly women, and indicators and standards have been prescribed by the Ministry of Housing and Urban Affairs (MoHUA) in the form of Service Level Benchmarks (SLBs).

Short Trick:

Area will be maximum when the field is square

Side of the square = 400/4 = 100 m

∴ Area of the field = (100)² = 10000 m²

Detailed Solution:

Area will be maximum when the field is square

The length will be the perimeter of the square field.

Let, side of the square = x m

According to the question,

⇒ Perimeter of square = 4 × side

⇒ 4x = 400

⇒ x = 100

⇒ Side of the square = 100 m

⇒ Area of the field = (side)²

⇒(100)²  = 10000 m²

∴ Required answer is 10000 m²

The minimum qualification for this job is MTECH.

However, candidates who have appeared for the final year of MTECH can also apply.

Conclusions:

I. All candidates who have yet to post graduate will be there in the list of selected candidates → False

Only MTECH candidates or students in the final year of MTECH can apply.

II. All candidates having MTECH as their minimum qualification will be there in the list of selected candidates. → False

Only MTECH candidates or students in the final year of MTECH can apply, but there is no surety that all the candidates who applied will have their name in the list.

Hence, neither I nor II follows.

⇒ 19x² = 100²– 90²

⇒ 19x² = (10000 – 8100)

⇒ 19x² = 1900

⇒ x² = 100

⇒ x = 10

Optional 1 is correct, i.e. Novak Djokovic.

• Novak Djokovic, a professional Tennis player, became the new goodwill ambassador for the UN Fund for Children.
• Reigning world tennis champion Novak Djokovic became a new goodwill ambassador for the UN Fund for Children, joining a roster of athletes and celebrities to hold the post.
• Serbian tennis player Novak Djokovic during a news conference at the UNICEF headquarters in New York.
• The 28-year-old Serbian, who grew up during the Balkans war, has already worked to help vulnerable children through his role as UNICEF  Serbia ambassador and his Novak Djokovic Foundation.

Short Trick:

Required Time = (110 – 22)/(20 + 24) = 2 h

Detailed Solution:

Speed of Rahul = 20 km/h

Speed of Raghav = 24 km/h

They are coming towards each other

⇒ Relative speed = (s₁ + s₂)

⇒ Relative Speed = (20 + 24) = 44 km/h

Let, required time = x hours

According to the question

⇒ Relative Speed × Time = Distance

⇒ 44x = (110 – 22)

⇒ 44x = 88

⇒ x = 2

∴ After 2 hours of horse-riding they will be at a distance of 22 km

Option 3 is correct, i.e. Sarojini Naidu.

• Sarojini Naidu played an important role in the awakening of Indian women to fight for independence and who is also known as Nightingale of India.
• Sarojini Naidu was a poet and politician.
• Naidu served as the first governor of the United Provinces of Agra and Oudh from 1947 to 1949. She was the first woman to become the governor of an Indian state.
• Sarojini Naidu was the first Indian woman to become the president of INC in 1925.

Short Trick:

Gain percent = [(Purchase Article - Selling Article)/Selling Article] × 100

⇒ Gain percentage = (10 – 8)/8 × 100% = 25%

∴ Required answer is 25%

Detailed Solution:

According to the question,

Cost price of 10 oranges = Rs 3

⇒ Cost price of 1 orange = Rs 3/10 = Rs 0.3

Selling price of 8 oranges = Rs 3

⇒  Selling price of 1 orange = Rs 3/8 = Rs 0.375

⇒ Gain percent = [(selling price - cost price)/cost price] × 100

⇒ Gain percent = (0.375 – 0.3)/0.3 × 100% = 25%

∴ Required answer is 25%

A motorist knows four different routes from Jaipur to bhangarh.

From Bhangarh to Alwarhe knows three different routes.

From Alwar to Carlisle he knows two different routes.

So, number of routes does he know from Jaipur to Carlisle = (4 × 3 × 2) = 24

Hence, ‘24’ is the correct answer.

Calculation:

Expenditure in January = Rs 50000

According to the question, 

⇒ Expenditure in February = 50000 + 50000 = Rs 100000

⇒ Expenditure in March = 100000 + 50000 = Rs 150000

Average = Sum of Observation/Number of Observation

⇒ Average Expenditure = (50000 + 100000 + 150000)/3 = Rs 100000

∴ The average expenditure from January to March is Rs 100000.

Option 1 is correct, i.e. Telephone conversation.

• The two parties will communicate with each other simultaneously in a full-duplex device.
• A telephone is an example of a complete duplex device; the parties at both ends of a call will communicate and be heard simultaneously by the other party.
• Communication in those devices is in one direction only.
• For example, a telephone is a full-duplex device because both parties can talk at once. In contrast, a walkie-talkie is a half-duplex device because only one party can transmit at a time.

Ravi can complete a work in = 10 days

∴ In 1 day Ravi can do = 1/10

Rohan alone can complete a work in = 12 days

∴ In 1 day Rohan can do = 1/12

Rajesh alone can complete a work in = 15 days

∴ In 1 day Rajesh can do = 1/15

∴ In 1 day they together can do = 1/10 + 1/12 + 1/15 = (6 + 5 + 4)/60 = 1/4

∴ They together can complete the work in = 4 days

According to the question,

⇒ x + 87 + 83 + 78 + 57 = 76 × 5

⇒ x = 380 – 305 = 75

Short Trick:

Cost price = [selling price/(100 + profit%)] × 100

Cost price = Rs 72 × 100/120 = Rs. 60

Detailed Solution:

Let, cost price = Rs. 100x

According to the question,

⇒ 100x + (100x × 20/100) = 72

⇒ 120x = 72

⇒ x = 72/120 = 0.6

∴ Cost price = 100 × 0.6 = Rs. 60

Option 3 is correct, i.e. This style of nomenclature was used by James Chadwick and J.J. Thomson.

• Dalton was the first scientist to use the symbols in a very common context for components. He also meant a definite quantity of that element by using a symbol for an element, that is, one atom of that element.
• Berzilius proposed that the element symbols be constructed from one or two letters of the element name.
• These are short-hand notations used for naming chemical compounds.
• In English, several of the symbols are the first one or two letters of the name of the product. A symbol's first letter is often written as a capital letter (uppercase), and the second letter is written as a small letter (lowercase).
• Elements are represented by specific symbols for convenience. For example: 'H' stands for hydrogen. The 'O' stands for oxygen. The 'N' stands for nitrogen. 'Cl' stands for chlorine.

2 hours = 2 × 60 min = 120 min = 120 × 60 = 7200 sec

∴ Required fraction = 12/7200 = 1/600

Option 2 is correct, i.e. Justice A.P. Shah.

• Justice A.P. Shah has been appointed as first-ever Ombudsman (Ethics officer) of BCCI.
• BCCI has named its first-ever Ethics Officer (Ombudsman) with a one-year term as retired justice AP Shah. Justice AP shah was former Delhi high court chief judge.
• The BCCI also dropped N Srinivasan, former president and chairman of the ICC, as its representative on the world body.
• Former captain Sourav Ganguly has also been named Chairman of the Technical Committee by BCCI.

The logic is:

1^st figure: 0 + 6 + 4 + 2 = 12 and 12 – 2 = 10 → number at the centre of the figure.

2^nd figure: 6 + 2 + 10 + 8 = 26 and 26 – 2 = 24 → number at the centre of the figure.

Similarly,

3^rd figure: 4 + 14 + 12 + 10 = 40 and 40 – 2 = 38 → number at the centre of the figure.

Hence, ‘38’ is the correct answer.

Short Trick:

Average = Sum of observation/Number of observation

Average age $= \frac{{20; \times ;10; + ;25; \times ;12}}{{20; + ;25}} = 11.111$

Detailed Solution:

Let, average age of all students = x

According to the question,

⇒ (20 + 25)x = 20 × 10 + 25 × 12

⇒ 45x = 500

⇒ x = 500/45 = 11.111

Average age of all students = 11.111

Option 3 is correct, i.e. Cerebrum.

• The cerebrum is a part of the forebrain.
• It has two parts called cerebral hemispheres.
• It forms the front, superior, and lateral side of the brain.
• Cerebrum in the human brain is the center for intelligence, memory, and emotions.
• It is the largest part constituting 80% of the brain.
• It coordinates voluntary muscle movements and helps in maintaining posture and balance.

The brain is divided into three major parts: (i) forebrain, (ii) midbrain and (iii) hindbrain

Given:

Two numbers are in ratio 3 : 4.

When 3 is subtracted from the numbers, the ratio becomes 2 : 3.

Concept Used:

Properties of ratio.

Calculation:

Let, the numbers are = 3x and 4x

According to the question,

⇒ (3x – 3)/(4x – 3) = 2/3

⇒ 9x – 9 = 8x – 6

⇒ x = 3

Sum of the numbers = 3x + 4x

⇒ 7x

⇒ 7 × 3

⇒ 21

∴ The sum of the numbers is 21.

Given:

Area of triangle = 44 √3 sq. units

Formula:

In-radius of equilateral triangle = a/2√3       (a = side of triangle)

Circum-radius of equilateral triangle = a/√3

Calculation:

Required ratio = In-radius : Circumradius = a/2√3 : a/√3 = 1 : 2

(There is no need to calculate the side length as the ratio is asked)

Short Trick:

Principal = Rs. 441 × (100/105) × (100/105) = Rs. 400

Detailed Solution:

Let, principal = Rs. x

No. Of years = 2

Rate of interest = 5%

According to the question,

$\Rightarrow x \times {\left( {1 + \frac{5}{{100}}} \right)^2} = 441$

⇒ x × (1.05)² = 441

⇒ 1.1025x = 441

⇒ x = 441/1.1025 = 400

∴ The principal = Rs. 400

Six colleagues are sitting in a circle and are facing the center of the circle. Diana is between Pushkar and Padma. Priyanka is between Mahesh and Lucky. Pushkar and Mahesh are opposite to each other.Pushkar is sitting right of Diana.

Hence, ‘Priyanka and Padma’ are the neighbours of Mahesh.

Six colleagues are sitting in a circle and are facing the center of the circle. Diana is between Pushkar and Padma. Priyanka is between Mahesh and Lucky. Pushkar and Mahesh are opposite to each other.Pushkar is sitting right of Diana.

Hence, ‘Diana’ is just right to Padma.

Six colleagues are sitting in a circle and are facing the center of the circle. Diana is between Pushkar and Padma. Priyanka is between Mahesh and Lucky. Pushkar and Mahesh are opposite to each other.Pushkar is sitting right of Diana.

Hence, ‘Diana’ is sitting opposite to Priyanka.

The least possible venn diagram is:

(1) Some pens are pins → True (It is definite)

(2) Some covers are cups → False (It is not definite)

(3) No cup is pin → False (It is not definite)

(4) Some pins are cups → True (It is definite)

Hence, only (1) and (4) follows.

All words except ‘veil’ are wore on head while ‘veil’ is an article of clothing or hanging cloth that is intended to cover some part of the head or face, or an object of some significance.

Hence, ‘Veil’ is the odd one out.

$\Rightarrow cos\theta = \sqrt {1 - si{n^2}\theta }$

$\Rightarrow cos\theta = \sqrt {1 - {{\left( {\frac{{40}}{{41}}} \right)}^2}}$

$\Rightarrow cos\theta = \sqrt {\frac{{1681 - 1600}}{{1681}}}$

⇒ cosθ = 9/41

∴ cotθ = cosθ/sinθ = (9/41)/(40/41) = 9/40

Option 1 is correct, i.e. Mysore Palace.

• Mysore Palace is a historic palace and a royal residence in Mysore, in Karnataka Indian State. It is the Wadiyar dynasty's official residence, and the Mysore Kingdom capital.
• The palace is in Mysore's center facing eastward the Chamundi Hills.
• Originally known as puragiri (literally, citadel) was the land where the palace now stands, and is now known as the old fort. In the 14th century Yaduraya built the first palace inside the Old Fort, which was demolished and restored several times. The present building was built between 1897 and 1912, after the burning of the Old Palace.

The logic is:

Similarly,

Hence, ‘TSBAEL’ is the correct answer.

The least possible venn diagram is:

(1) Some videos are answers → True (It is definite)

(2) Some poems are images → False (It is not definite)

(3) All the images are poems → False (It is not definite)

(4) Some poems are answers. → True (It is definite)

Hence, Only (1) and (4) follows.

The logic is:

Similarly,

Hence, ‘972338’ is the correct answer.

Option 1 is correct, i.e. Prothrombin.

• Human blood platelets release prothrombin which helps in clotting of blood.
• Prothrombin is transformed into thrombin by a clotting factor known as factor X or prothrombinase thrombin then acts to transform fibrinogen, also present in plasma, into fibrin, which, in combination with platelets from the blood, forms a clot (a process called coagulation).

Extra facts:

• Sucrose is crystallised white sugar produced by the sugar cane plant and can be found in households and foods worldwide.
• The formula for sucrose is C₁₂H₂₂O₁₁.
• It is a disaccharide so when we hydrolyse it we will get one molecule of glucose and another molecule of fructose.
• It is also known as table sugar.
• Galactose- It is a monosaccharide and hexose(6C) sugar.
• Ribulose- It is a monosaccharide of Glucose and Galactose.
• Fructose is the sweetest sugar.
• aride and pentose(5C) sugar.
• Lactose- It is a disaccharide.

Option 3 is correct, i.e. 10 trillion.

Light:

• Light waves are transverse waves.
• The speed of light is 3 × 10⁸ m/s.
• Light can travel 10 trillion km in a year.
• Light waves are electromagnetic waves.
• Electromagnetic waves are created when charged particles oscillate. So whenever these waves encounter particles in its way, it makes them oscillate.
• Light waves are electromagnetic waves because light has an oscillating magnetic and electric field.

Option 4 is correct, i.e. Developed countries will completely ban CFC production by 2000.

• Protection of the Ozone layer was the main aim of the Montreal Protocol.
• Developed countries will completely ban CFC production by 2000 was the major decision that took place in the 1987 Montreal Conference.
• The Montreal Protocol is an international treaty, which was adopted on September 16, 1987.
• It aimed to regulate the production and use of chemicals contributing to the depletion of the ozone layer of the Earth.
• Initially, it was signed by 46 countries but now has nearly 200 signatories.