NTPC CBT-II 2016 Official Paper (Held On: 18 Jan, 2017 Shift 1) (Previous Year Paper)

Concept used: 

Co-prime numbers are such no whose HCF is 1. They are also called as relatively prime.

Calculation: 

in option (i) HCF (12, 7) = 1

in option (ii) HCF (21, 42) = 21

in option (iii) HCF (3, 9) = 3

in option (iv) HCF (43, 129) = 43

⇒ Hence (12, 7) are co-prime numbers.

Given:

The monthly salaries of P and Q are in the ratio 4 : 3.

Calculation: 

Let the monthly salaries of P and Q be 4x and 3x respectively

⇒ Now P and Q get an increase of 10% and 5% of their existing salaries respectively

so, new salary of  P and Q be 4x × 110/100 and 3x × 105/100 respectively

⇒ ratio of salary of P : Q = 440 : 315

⇒ required ratio of salary of P : Q = 88 : 63

The correct answer is the Indian National Congress. 

Key Points

• The Home Rule League is launched by Tilak in April 1916 and by Annie Besant in September 1916.
• The objective of the Home Rule League was to achieve self Government and place Indian National Congress on par with the national party.
• Tilak had six branches headquartered at Delhi including Maharashtra, Karnataka, Berar, and Central provinces.
• Annie Besant provided leadership for the rest of the country and had nearly 200 branches.
• Tilak and Annie Besant worked in close cooperation between the leagues but avoided merge.
• It was based on the lines of the Irish Home Rule League.

Important Points

• It was successful in pressurizing the government to announce concessions in the form of August offer and Montagu Chelmsford Reforms.
• It also shifted Emphasis from educated elites to masses and made Congress a tool between the moderates and extremists.

The correct answer is wireless.

Key Points

• Digital payment reached a billion monthly digital payment transactions on the Unified Payments Interface (UPI).
• About 1.2 billion Indians now have a Digital identity in the form of Aadhar.
• Aadhar is an identity rail and fintech companies to secure means of Identity.
• The National payments corporation of India played a crucial role in financial transactions.
• All future financial transactions will be based on a digital platform.

The correct answer is Purnima Devi Barman. 

Key Points

• Purnima Devi Burman is an Assamese wildlife biologist and conservationist.
• She won the Royal Bank of Scotland Earth heroes’ award 2016.
• She was honoured for the ‘safe the species for Greater adjutant Stork’ which was identified as endangered species on the IUCN Red List of threatened species.
• According to an estimate by IUCN, the population of Greater adjutant stork Boss between 1200 and 1800 among which 800 birds were found in Assam only.
• She was given the award for being The Guardian Angel for the bird by the Royal Bank of Scotland.

Important Points

• The Royal Bank of Scotland Earth heroes’ award was instituted in 2011 to recognize and honour individuals and institutions who work to preserve and protect the ecosystem.

The correct answer is Atharva Veda. 

Key Points

• Atharva Veda is an Encyclopedia for medicine.
• It was a collection of spells, prayers, charms, and hymns.
• There are prayers for various purposes like to protect crops from lightning, against poisonous snakes, healing spells, love spells, versus, etc.
• The purpose of charms and spells is to ward off evils and disease.
• It contains the procedure for everyday life.
• It was mainly composed of two groups of Rishi's- Atharavanas and Angirasa.
• It contains magic spells too that's why it is called the book of Magic.
• It is also known as Brahma Dev.
• The important Brahamanas are- Gopatha Brahman and Mundan Brahman.

The pattern followed here is,

Similarly,

Hence, "SERCU" is the correct answer.

Given: 

K and L can do a work in 15 and 20 days respectively. They work together for 5 days and leave. 

Calculation: 

⇒ K's one day work = 1/15 and L's one day work = 1/20

Let the total work be LCM of 15 and 20 which is 60.

⇒ Efficiency of K = 4 units and Efficiency of L = 3 units.

⇒ They work together for 5 days, so 7 × 5 = 35 unit work done out of total work 60.

⇒ The remaining unfinished work = (60 - 35)/60 =  25/60 = 5/12

Admiral is the highest rank in Navy.

Similarly,

Air chief Marshal is the highest rank in Indian Air Force.

Hence, "Air Chief Marshal" is the correct answer.

Statement 1 is saying-->Today, the stock market index has reached lower than the lowest during the last 3 years.

So, It means that if we know the last 3 years data, then we can make an overall assessment of the present level of stock market index today.

Statement 2 is saying-->During the last year, the index fluctuated between 30,360 and 28,255.

So, there is range given in the statement of the last year by which we can assess that index fluctuated between 30,360 and 28,255, but no data provided to find today's market index.

Statement 3 is saying-->The stock market index touched a low of 27,125 in the preceding 3 years.

So, in this statement, we can find that the lowest value in the last 3 years was 27,125.

So, If we combine statements 1 and 3, we can say that today's market was lower than 27,125, so statement 2 is not giving any help to find today's market index. So here we can say both statements 1 and 3 are sufficient to answer this question.

Hence, the correct option is 2.

The correct answer is 8000 stations. 

Key Points

• The Indian Railways runs around 12000 trains connecting more than 8000 stations carrying nearly 23 million passengers and over 7,000 freight trains.
• 3 million tonnes of freight is transported every day.
• It transports nearly 90% of the total coal moved in the country which is the source of 50% of Indian power supply.
• Indian railway network spans more than 66030 km.
• It is the world's third-largest Railway network and the fourth largest railway freight carrier.
• The first passenger train runs over a stretch of 33 kilometres from Mumbai to Thane on 16th April 1853.
• It was nationalized in 1951 and forms the largest rail network in Asia and the world's second-largest Railway network operated under the single management.
• Four railway sites have been declared as World Heritage site by UNESCO- the Darjeeling Himalayan Railway, Mumbai CST railway, Nilgiri Mountain Railway and Kalka Shimla railway.
• The Fairy Queen between New Delhi and Alwar is the oldest functioning steam engine in the world.

The pattern for the code is as follows,

Each letter is coded to a unique number

Hence,  CHEATER is coded as 2741845.

157, 571, 599 are prime numbers, but 387 is not prime, It is divisible by 3.

Hence, the correct answer is "387".

Given: 

8 boxes of a fruit were purchased for Rs. 9,600. 5 boxes were sold at a profit of 10% and 3 boxes were sold at a loss of 10%.

Formulae used: 

Gain% = (Gain/CP) × 100; where gain = selling price - cost price

Calculation:

cost price of 8 boxes = Rs. 9600 ∴ cost price of 1 box = Rs. 1200

⇒ CP of 5 boxes = Rs. 6000 and CP of 3 boxes = Rs. 3600

since 5 boxes were sold at profit of 10%

⇒ SP of 5 boxes = 6000 × 11/10 = Rs. 6600

also, 3 boxes were sold at loss of 10%

⇒ SP of 3 boxes = 3600 × 9/10 = Rs. 3240

⇒ Total SP of 8 boxes = Rs. (6600 + 3240) = Rs. 9840

∴ net gain% = (9840 - 9600/9600) × 100 = (240/9600) × 100 = 2.5%

The correct answer is Astronomy. 

Key Points

• Hubble’s law is an observation in physical cosmology that the Galaxies are moving away from the Earth at speeds proportional to their distances.
• It states that the velocity of recession of a galaxy is proportional to its distance from the observer.
• It proves the expansion of the Universe.

The correct answer is black-necked cranes. 

Key Points

• National green tribunal suspended the environmental clearance to the proposed 780-megawatt hydropower project in Tawang district to save black-necked cranes.
• Black-necked cranes are also known as 'trung trung karmo'.
• They migrate from Tibet and China's Xinjiang province Arunachal Pradesh during winters.
• They are protected under Schedule 1 of the Wildlife Protection Act 1972.
• They are classified as Vulnerable by IUCN in its Red List of threatened species.

Important Points

• The national green tribunal is established under the National green tribunal act 2010 for disposal of cases related to environmental protection and conservation of forest and other natural resources.
• India is the only third country in the world after Australia and New Zealand to form a specialized environmental Tribunal.
• New Delhi is the principal seat of the National green tribunal.

The correct answer is communication. 

Key Points

• India's communication satellite, GSAT-18 was inducted into the INSAT/GSAT system on October 06, 2016, from Kourou, French Guiana by Ariane-5 VA-231.
• Weighing 3404 kg at lift-off, GSAT-18 carries 48 communication transponders to provide Services in Normal C-band, Upper Extended C-band and Ku-bands of the frequency spectrum.
• GSAT-18 is designed to provide continuity of services on operational satellites in C-band, Extended C-band and Ku-bands.
• GSAT-18 was launched into a Geosynchronous Transfer Orbit (GTO) by the Ariane-5 VA-231 launch vehicle. After its injection into GTO, ISRO's Master Control Facility (MCF) at Hassan took control of GSAT-18 and performed the initial orbit raising manoeuvres using the Liquid Apogee Motor (LAM) of the satellite, placing it in circular Geostationary Orbit.
• The designed in-orbit operational life of GSAT-18 is about 15 years.

The correct answer is Assam. 

Key Points

• Majuli is the largest inhabited riverine island in the world located in the Brahmaputra River.
• It is India's first Island district consisting of nearly 144 villages with a population of approximately 1.6 Lakh.
• It is a centre of Neo Vaishnavite culture initiated by Saint reformer Srimanta Sankardev in the 15th century.
• It has nearly 65 Sattras which is the religious and cultural institution.
• It is surrounded by the Subhasini river in the north, Brahmaputra river on the south, and Kherkutia islands in the northeast.
• It is mostly inhabited by the 'Mishing tribe'.
• Mishing, Assamese, and Deori are popular languages used on this Island.

• Nearly a hundred varieties of rice are grown here without any chemical fertilizers.
• it was officially declared as an Island district in June 2016.

The correct answer is triple. 

Key Points

• If you want to select the entire paragraph in MS Word then move the pointer to the left of the text and triple-click.
• You can also select the paragraph but placing your cursor at the start of the paragraph and press the control shift and down arrow.
• If you want to move the cursor off by one paragraph you must press the Alt + up Arrow key.
• If you want to move the cursor down by one paragraph then you need to press the alt + down arrow key.
• if you want to move the cursor left by one word you need to press Alt + left Arrow key and Alt + right Arrow key for moving the cursor right by one word.
• Clicking on a particular text you will select the entire word in MS Word.
• If you want to select a particular line in MS Word then move your cursor to the left and click when an arrow appears.

The correct answer is John manual Santos. 

Key Points

• Nobel Peace Prize 2016 was awarded to Colombian President John Manual Santos for his resolute efforts to bring the countries more than 50 years long Civil War to an end.
• He is the second Colombian to win Nobel Prize after Gabriel Garcia Marquez who won the 1982 Nobel Prize for literature.
• Santosh is also the second Latin American to receive Nobel Peace Prize after Guatemala's Rigoberta Manchu in 1992.
• Manuals Santos initiated the negotiation with guerrilla group Revolutionary Armed Forces of Colombia (FARC) which culminated in a peace agreement between the Colombian Government and the FARC.
• The civil war in Colombia is the longest civil war in modern times which was started in the nineteen sixties as a result of an uprising for land rights.
• The main aim of FARC was to reduce the gulf dividing rich and poor and land Reform for equality in the Andean country.

Formulae used: 

Basic division method. 

Dividend = Divisor × Quotient + Remainder.

Calculation: 

Least no which is divisible by 4,5 and 6 so LCM of 4,5 and 6 is 60.

So, here we require the least no greater than 1456 which is divisible by 60

⇒ 1456 = 60 × 24 + 16 

⇒ to make the number divisible, we will have to add

⇒ (60 - 16) = 44

∴ required number to be added to 1456 so that it is divisible by 6, 5 and 4 without leaving a remainder is 44

Snake, Lizard, Crocodile come in the category of reptiles.

Whereas,

Reptile itself is a Category.

Hence, "Reptile" is the odd one.

So, the correct answer is "Reptile".

Given: 

In a class of 135 students, the number of boys is twice that of girls. One-sixth of the boys and one-third of the girls failed in the final examination.

Calculation:

Let the no of boys be 2x and the number of girls be x,

So, the total number of students = 3x

⇒ 3x = 135

⇒ x = 45

⇒ boys : girls = 90 : 45

Now, according to question

The number of boys who failed the exam = 1/6 × 90 

⇒ 15

So, the number of boys who passed the exam = 90 - 15 

⇒ 75

The number of girls who failed the exam = 1/3 × 45 

⇒ 15

So, the number of girls who passed the exam = 45 - 15

⇒ 30

⇒ Percentage of passing students = [(75 + 30)/135] × 100 = (105/135) × 100 = 77.78%   

∴ Percentage of passing students is 77.78 %

Given: 

the ratio of the p and q is 4 : 3

Formula Used:

product of two number = LCM × HCF

Calculation: 

let the two numbers be 4x and 3x.

⇒ Lcm of two numbers be 12x = 36

⇒ x = 3

⇒ p = 12 and q = 9

∴  p + q = 21

The question figure is

similarly,

Here, we can see each alphabet is decreasing by 2 as they are in the English Alphabet series.

Hence, the correct answer is "ZDHLPT".

Given:

SP = Rs. 27,120 and the profit % = 13%

Formulae used: 

SP - CP = Profit

Calculation: 

let the CP of the product be 100x.

also, profit = 13% ∴ SP = 113x

⇒ 113x = 27120

⇒ x = 27120/113

⇒ CP = 100x = 100 × 27120/113 

∴  CP = Rs. 24000

Given:

The simple interest at 10% p.a. on a deposit for 2 years is Rs. 4,000. 

Formula used:

simple interest = (principal × rate × time)/100

compound interest (CI) = A – P = P[(1 + R/100)ⁿ – 1]; where A = amount, P = principal, R = rate p.a., n = time period

Concept Used:

compound interest is also successive percentage increase.

rate = 10 + 10 + (10 × 10)/100 = 21%

Solution:

Let the principal is Rs. P.

∴ 4000 = (P × 10 × 2)/100

⇒ principal = Rs.  20,000 

⇒ compound interest = 20,000 × 21/100

⇒ compound interest = Rs. 4200 

⇒ increased interest = Rs. (4200 - 4000) = Rs. 200 

So, compound interest rupees is 200 more than simple interest.

Shortcut Trick 

Difference in rate of CI and SI for 2 years = R²/100 = 10²/100 = 1%

Rate of SI for 2 years = 10 × 2 = 20%

According to question,

20% = 4000

⇒ 1% = 4000/20 = 200

Given:

The difference between the selling prices of an item at a profit of 9% and 7% was Rs. 190.

Formula Used:

selling price = (100 ± P/L) × cost price/100

Solution:

Let the cost price be Rs. x

According to question:

⇒ (109x/100) - (107x/100) = 190

⇒ (2x/100) = 190

⇒ x = Rs. 9500

∴ Cost price of the item = Rs. 9500

Smart Method

9% - 7% = 2% = 190

⇒ 1% = 95

⇒ 100% = 9500.

Thus, the person in the picture is brother of the lady,

Hence, "Brother" is the correct answer.

The correct answer is Neymar. 

Key Points

• Neymar Da Silva Santos Junior is a Brazilian Professional football who plays as a forward for the Brazil national team.

Additional Information

• Gabriel Omar Batistuta is an Argentine footballer Nicknamed Batigol.
• Marcos Rojo is an Argentine professional footballer who plays as a defender for Manchester United and Argentina national team.
• Lionel Messi is an Argentine footballer who plays forward and captains both Barcelona and the Argentina national team.

Given Equation:- 16 - 24 × 2 ÷ 10 + 104 = 0

Here we have to interchange two mathematical operators and check,

1) interchange “÷”  and “×”

16 - 24 ÷ 2 × 10 + 104

= 16 - 12 × 10 + 104

= 16 - 120 + 104

= 120 - 120 = 0

Hence,"÷ and ×" is the correct answer.

From Statement  (i) There are three shifts round the clock - We get to know the total number of shifts is 3.

From Statement (ii) There are thirteen wards requiring two nurses per shift - we get to know about the minimum number of nurses required in each shift that is 2.

From Statement (iii) The town needs at least three nurses per thousand population - It is mentioning about the number of nurses required  per thousand population ,which is not needed for this question.

After combining the statement I and II :- 2 × 3 = 6.

So, The first two statements are sufficient to answer.

Hence, the correct answer is "Both statements I and II are sufficient".

The way “Rice” is the source of “ Carbohydrate”

Similar,

“Sprout” is the source of “Protein”.

Hence, the correct answer is "Protein".

The correct answer is the World Wildlife Fund. 

Key Points

• World Wildlife Fund is an international non-government organization established in 1961 and headquartered at Gland, Switzerland.
• It aims at Preservation and reduction of human impact on the environment.
• It is the world's largest conservative organization.
• Its Prime objective is to conserve the world's biological diversity, ensuring the use of renewable resources and promoting the reduction of pollution and wasteful consumption.
• Its logo is a giant panda named after Chi-Chi.

Important Points

• It publishes various reports like the living planet report.
• It is also responsible for the organization of earth hour.
• The living planet report is published biennially since 1998.

The correct answer is investment. 

Key Points

• Ponzi scheme is a fraud in which the profit interest is fostered by the payments of never return to the first investment from the money invested in later investors.
• It creates an illusion that true profits are coming from the product and trust is gained by the investors to invest even the largest sum.
• The investor, however, is in no notion to make full repayment.
• This scam was originated by Charles Ponzi in 1920.
• It is based on high investment returns with little or no risk, unregistered investment, unlicensed seller, consistent Returns, strategies, etc.
• Enforcement directorate under the prevention of money laundering act 2002 handles the Ponzi scheme.
• Moreover, SEBI also regulates investment schemes to keep and track of an illegal collective investment scheme.

The correct answer is minus 273 degrees Celsius. 

Key Points

• Absolute zero is the lowest possible temperature and is a point at which fundamental particles of nature have minimal vibration motion resulting in retaining only quantum mechanical zero-point energy induced particle motion.
• It is equivalent to 0 Kelvin or minus 273 degrees Celsius.
• It is practically impossible to reach out to the absolute zero temperature.
• It is the temperature at which the particles in the substance are essentially motionless which means that there is no way to slow them down further.
• Nothing can be colder than absolute zero on the Kelvin scale.

The correct answer is Neil. 

Key Points

• Minicoy, Kavaratti, and Amini islands belong Lakshadweep group of Islands.
• Neil Island belongs to the Andaman and Nicobar group of Islands.
• It is located in the Andaman Islands.

Additional Information

• Lakshadweep is the smallest union territory in India.
• The word meaning of Lakshadweep is 'one hundred thousand islands'.
• It is located in the Arabian sea.
• The old name of Lakshadweep was Laccadive.
• Formed on 1st November 1956.
• Adopted the name Lakshadweep on 1st November 1973.
• Capital: Kavaratti.
• Former capital: Kozhikode.
• Official Languages: Malayalam, English
• The union territory comes under the jurisdiction of the Kerala High Court at Kochi.
• The Maldives is the country nearest to Lakshadweep.
• Current Administrator of Lakshadweep: Praful Khoda Patel.
• Agatti Airport is the only airport located in Lakshadweep.

Given:

The cost of six mangoes is equal to the cost of four apples. The cost of eight apples is equal to the cost of two jackfruits.

Calculation:

Let the cost price of an apple is Rs. 60

According to question:

⇒ cost price of six mango = cost price of four apples = 4 × 60 = Rs. 240

⇒ cost price of a mango = 240/6 = Rs. 40

again,

⇒ cost price of two jackfruit = cost price of eight apples = 8 × 60 = Rs. 480

⇒ cost price of one jackfruit = 480/2 =  Rs. 240

Given:

10 men and 5 women can do a work in 60 days and one man can do the work of two women

Formula Used:

m1 × d1 = m2 × d2 = total work

Solution:

10 men and 5 women can do a work in 60 days

According to question:

⇒ work efficiency of 1 man = work efficiency of 2 women

⇒ total women = 10 × 2 + 5 = 25 women

⇒ total work = 25 women × 60 = 1500

so, half of the work = 750

since half of the work is to be done by 5 men and 20 women 

⇒ total women = 5 × 2 + 20 = 30 women

using the above formula, we have

⇒ 30 × d = 750

⇒ d = 25

∴ Total days = 25 days

The correct answer is 11. 

Key Points

• Fedor Konyukhov (65 years) registered the fastest round the world flight in a hot air balloon in a record 11 days.
• He is a Russian adventurer.
• He started his journey on 12th July 2016 and flew from Australia to New Zealand across the Pacific Ocean and then from Cape of Good Hope and finally the Southern ocean.
• Hot air balloon operates using an open frame caused by burning liquid propane.
• A gondola is a basket that carries a passenger.
• It is lighter than aircraft.

The correct answer is ODT.

Key Points

• A bitmap basically describes a type of image.
• Pixels all the basic sources of information.
• BMP, GIF, JPEG, EXIF, PNG, and TIFF are bitmap file formats.
• Bitmap format commonly used raster graphic format for saving image files.
• Raster graphics are independent of display devices which means a bitmap image file can be viewed without any graphics adaptor.
• The file can store a 2D digital image in both monochrome and colour format.

The least possible diagram is given below-

Conclusions :-

I**.** Some mechanics are men → True(As in the statement it is given that all men are Mechanics, so, some mechanics will definitely be men).

II. Some engineers are mechanics → True(As in the statement it is given that all mechanics are engineers, so, some engineers will definitely be mechanics ).

Hence, "Both I and II follow".

Given:

15 persons can complete a work in 60 days and the number of persons is increased by 5

Formula used:

m₁ × d₁ = m₂ × d₂ = total work

Calculation:

According to the formula,

m1 = 15, d1 = 60 days, m2 = 20 (15 + 5), and d2 = x

⇒ 15 × 60 = 20 × x

⇒ x = 45 days

Work will completed earlier = 60 days - 45 days = 15 days.

∴ Work get completed 15 days earlier.

Here the logic is as follows:

Similarly,

KMFZ is coded as LLHX.

Thus, the correct answer is LLHX.

The correct answer is 1919. 

Key Points

• The Rowlatt Act was passed to give the government enormous powers to suppress political activities by allowing the detention of political prisoners without trial for two years.
• It was recommended by the sedition committee chaired by Sir Sidney Rowlatt.
• It is also known as the Anarchical and Revolutionary crimes act of 1919.
• It invited a large-scale violent anti-British demonstration in various places special in Punjab where the situation became explosive.
• Jallianwala Bagh massacres were the result of a demonstration against the Rowlatt Act.
• On 9th April 1919, two Nationalist leaders Saifuddin kitchlew and Dr Satyapal address protest meetings which caused resentment on a large scale.
• On 13th April (Baisakhi) thousands of people assembled at the Jallianwala Bagh unaware of the prohibitory orders which resulted in open firing against thousands of people on General dyers orders.

Given:

K borrowed Rs. P at a compound interest of 20% p.a. for 2 years. Interest amount payable was Rs. 5,280.

Formula Used:

compound interest (CI) = A – P = P[(1 + R/100)n – 1]

where A = amount, P = principal, R = rate p.a., n = time

For final rate % = a + b + a × b/100

Calculation:

⇒ rate = 20 + 20 + 20 × 20/100 = 44%

⇒ compound interest = P × 44/100

⇒ P × 44/100 = 5280

⇒ P = Rs. 12,000

∴ required principal = Rs. 12,000

Given:

The cost price of a set of 2 pants + 4 shirts or 1 pant + 6 shirts is Rs. 5,600. A shopkeeper decided to sell them separately. He sells 10 shirts for Rs. 6,000. 

Formula used:

profit = selling price - cost price

loss = cost price - selling price

solution:

⇒ cost price of a set of 2 pants + 4 shirts = cost price of a set of 1 pant + 6 shirt

⇒ 1 pant = 2 shirt

⇒ 2 pants + 4 shirt = 4 shirt + 4 shirt = 8 shirt

⇒ cost price of 8 shirt = Rs. 5600

⇒ cost price of one shirt = Rs. 700

⇒ selling price of 10 shirt = Rs. 6000

⇒ selling price of one shirt = Rs. 600

⇒ Loss = Rs. (700 - 600) = Rs. 100

∴ loss occurred per shirt = Rs. 100

Given:

Train P Starts from point A at 10 am and runs at a constant 60 Kmph on a straight track and covers a distance of 360 km. Train Q starts from B at 11 am and runs towards A at a constant speed.

Formula Used:

speed = distance/time

Solution:

Train P starts at 10 am at a speed of 60 km/h in 1 hour he travels 60 km   

remaining distance = (360 - 60) Km

⇒ 300 km

⇒ both trains start at 11 am in opposite direction.

⇒ train Q crosses train P at a distance of 120 km from B.

So train P travels distance at that time = (300 -120) km

⇒ 180 Km

⇒ train P travels 180 km at 60 km/h

⇒ time = 180/60 = 3 hour

 train Q also travels 3 hour 

⇒ speed of train Q = 120/3 = 40 km/h

∴ speed of train Q = 40 km/h

The correct answer is 35. 

Key Points

• Governor is the executive head of the state.
• Governor is appointed by the President.
• A governor holds office under the pleasure of the president.
• President has the power to remove a Governor.
• He may also be transferred from one state to another by the president and can also be reappointed.
• A person who is an Indian citizen and should not be less than 35 years is eligible to become a Governor.
• He must not be a member of any house or hold the office of profit.
• Every executive action is taken place in his name.
• He appoints the chief minister and other ministers on the advice of the chief minister.
• He also has the power to prorogue the state legislature or dissolve legislative assemblies.
• He nominates 1/6th of members of the Legislative Council from the fields of literature, science, art, Cooperative movement, and social services.
• He has the power to reserve a bill for Presidential recommendation.
• He can promulgate an ordinance when the houses are not in session.
• He looks over the state budget and recommends the demand for grants.
• He can pardon, reprieve, respite, remit, and commute sentences.

Yogesh is taller than Alpesh but shorter than Dharmesh.

Dharmesh > Yogesh > Alpesh

Harish is not as tall as Alpesh.

Dharmesh > Yogesh > Alpesh > Harish

Ramesh is taller than Dharmesh but shorter than Suresh.

Suresh > Ramesh > Dharmesh > Yogesh > Alpesh > Harish

Suresh is shorter than Rajesh.

Rajesh > Suresh > Ramesh > Dharmesh > Yogesh > Alpesh > Harish

Harish is the shortest of all.

Thus, the correct answer is "Harish".

Yogesh is taller than Alpesh but shorter than Dharmesh.

Dharmesh > Yogesh > Alpesh

Harish is not as tall as Alpesh.

Dharmesh > Yogesh > Alpesh > Harish

Ramesh is taller than Dharmesh but shorter than Suresh.

Suresh > Ramesh > Dharmesh > Yogesh > Alpesh > Harish

Suresh is shorter than Rajesh.

Rajesh > Suresh > Ramesh > Dharmesh > Yogesh > Alpesh > Harish

Height-wise, Dharmesh is in the middle.

Thus, the correct answer is "Dharmesh".

First unscramble the jumbled letters,

EVCOL-->CLOVE

LCIYHL-->CHILLY

HLTCO-->CLOTH

MIUNC-->CUMIN

Here, Clove, Chilly and Cumin are spices except Cloth.

Thus, the correct answer is HLTCO.

9 % 3 & 22 $ 52 & 85 # 17

Replacing signs with given arithmetic operators,

9 × 3 + 22 - 52 + 85 ÷ 17

= 27 + 22 -52 + 5

= 54 - 52

= 2

Thus, the correct answer is 2.

The correct answer is Khangchendzonga National Park, Sikkim.  

Key Points

• Kanchenjunga National Park was recognized as a World Heritage site by UNESCO under the mixed category containing both natural and cultural significance.
• Mount Kanchenjunga is the world's third-highest peak is situated within the park.
• It has become the 11th biosphere reserve from India which included it in the list of the designated world network of Biosphere Reserves by UNESCO.
• Zemu Glacier is a part of the biosphere reserve.

Important Points

• Mahabodhi Temple was used as a UNESCO World Heritage site in 2002.
• Kaziranga wildlife sanctuary was designated as a UNESCO World Heritage site in 1985.  It is also recognized as an important bird area by BirdLife International.
• Keibul Lamjao National Park is the only floating National Park in the world. Loktak lake has been listed under the Montreux record since 1993.

The correct answer is Either the Prime minister or a Minister who is nominated by the Prime Minister.

Key Points

• The leader of the house is defined in the rules of procedure of the Lok Sabha as well as Rajya Sabha.
• Leader of the house means the Prime Minister if he is a member of the house or a Minister if he is the member of the house and is nominated by the Prime Minister function as the leader of the house as per Rule 2 of the Rules of Procedure and Conduct of Business.
• However, the Prime Minister is the leader of the Lok Sabha in most cases.
• The ultimate responsibility of the leader of the house is the arrangement of government business, making proposals for the dates of summoning and prorogation, fixing priorities for various items of business, etc.

The correct answer is the Directional growth of a plant.

Key Points

• Tropism is a biological phenomenon indicating the directional growth all turning movement of a plant towards or away from an external stimulus.
• Stimuli like light, gravity, water, touch, etc. influence the plant's growth and leads to tropism.
• It is a mechanism by which plants adapt to the environmental change in the presence of a stimulus.
• It results in differential growth.
• Plant hormones (Auxin) help to regulate the differential growth.

Concept Used:

a = √(a²)

Calculation:

2√11 = √44

4√3 = √48

3√5 = √45

5√2 = √50

⇒ √50 > √48 > √45 > √44

⇒ 5√2 > 4√3 > 3√5 > 2√11

∴ The descending order of numbers is 5√2 > 4√3 > 3√5 > 2√11.

Given:

Loan repayment = 28% of monthly salary = ₹8960.

Concept Used:

Total monthly salary = 100%

Calculations:

28% of salary = ₹8960

⇒ 1% of salary = ₹8960/28 = ₹320

⇒ 100% of salary = 320 × 100 = ₹32000

∴ Total monthly salary = ₹32000.

Family Chart:-

Family Tree according to the statement:-

Sam is the husband of Rosy.

Geni is the mother of Rita and Rosy.

Vaz is the father of Rita.

 Vaz is the father-in-law of Sam.

Thus, the correct answer is "father-in-law".

The correct answer is 13.

Key Points

• Pranab Mukherjee swore as 13th President of India.
• He was administered an Oath by the Chief Justice of India SH Kapadia.
• He was the President of India from July 25th, 2012 to July 25th, 2017.
• Article 52 to 62 defines the President of India under the Indian Constitution.
• The President of India is the head of state of the Republic of India.
• All executive power of the union shall be vested in the president.
• He shall hold office for a term of five years and may resign to the vice president of India.
• He can be Impeached for the violation of the constitution.
• A person is qualified for becoming a President of India only if he is a citizen of India, completed 35 years of age, eligible for election as a member of the house of the people, and should not hold the office of profit.

The correct answer is lending money.

Key Points

• Payment banks are differentiated banks.
• Payment banks work as a commercial bank but with certain restrictions under RBI.
• The main objective of setting up a payment bank is to ensure that financial inclusion is achieved.
• Payment Bank lends money as a commercial bank but the limit is fixed up to a maximum of rupees 100000 from a customer.
• Payment banks will be entitled to issue Indian ATM or debit cards but not a credit card.
• They will be authorized to open both savings and current accounts.
• Payment banks do not provide loans or lending services to their customers.
• They cannot accept deposit from non-resident Indians (NRIs) but there are allowed to make personal payments and receive remittances on the current account.

Important Points

• They have to invest a minimum of 75% of their demand deposit on government securities or treasury bills with maturity up to one year and hold a maximum of 25% in current and fixed deposits with commercial banks for operational purposes.

Given:

P₁ = ₹5000

P₂ = ₹4000

t₁ = 4 years

t­₂ = 5 years

A = ₹2400

Concept Used:

SI = Principal × time × rate/100

Calculation:

Let rate be r%.

SI₁ = (p₁ × t₁ × r)/100 = 5000 × 4 × r/100 = 200r

SI₂ = (p₂ × t₂ × r)/100 = 4000 × 5 × r/100 = 200r

SI = SI₁ + SI₂ = 200r + 200r = 400r = 2400

⇒ r = 6

∴ required rate is 6% per annum.

The correct answer is black carbon.

Key Points

• Black carbon consists of pure carbon in several forms.
• It is formed by the incomplete combustion of fossil fuels biofuels and Biomass and is a result of anthropogenic as well as natural causes (soot).
• It is a short-lived pollutant.
• It can absorb light and is regarded as the second-largest contributor to climate change after carbon dioxide.
• India is the second-largest emitter of black carbon in the world and Indo Gangetic plains are the largest contributor to it.
• It absorbs solar energy and warms the atmosphere.
• It aggravates breathing disorders, can result in the melting of glaciers, influencing the monsoon cycle, etc.

The correct answer is Maharashtra.

Key Points

• A pre-independent British Era Bunker was discovered below Raj Bhavan in Malabar Hill, Mumbai.
• It was 150 meters long and opens with the 20 feet tall Gate along with a ramp on the Western side.
• It is spread over an area of 5000 square feet and has room bearing the name shell store, gun shall, cartridge store, shell lift, pump, workshop, etc.
• It has a drainage system and inlets for fresh air and light.
• An entire Barrack with 13 rooms of different sizes was also found.

The correct answer is 11.2 km/sec.

Key Points

• Escape velocity is the lowest velocity which a body must have to escape the gravitational attraction of a particular planet or other objects.
• The escape velocity of Earth is 11.19 kilometre per second.
• The escape velocity of Venus is 10.36 km per second.
• The escape velocity of Mars is 5.03 km per second.
• The escape velocity of Saturn is 36.09 km per second.

The correct answer is  PepsiCo.

Key Points

• She is an Indian American business executive as well as CEO of Pepsico.
• She also serves on the boards of Amazon and the International Cricket Council.
• She has been consistently ranked among the world's 100 most powerful women.
• She was at number 13 on the Forbes list of the words powerful women in 2014.
• She was the second most powerful woman on the Fortune list in 2015.
• She was honoured with the outstanding women in Business Award by the league of women voters in February 2020.
• She was honoured with the Padma Bhushan in 2007.

The correct answer is Haryana.

Key Points

• Indian states do not share an International border or the coastline except Madhya Pradesh, Chhattisgarh, Jharkhand, Delhi, Haryana, and Telangana.
• India's longest border is with Bangladesh and the shortest border is with Afghanistan.
• It shares 3488 km long border with China along with Ladakh, Himachal Pradesh, Uttarakhand, Sikkim and Arunachal Pradesh.
• India- Nepal border is a porous 1051-kilometre border along with the states of Uttarakhand, Uttar Pradesh, Bihar, West Bengal and Sikkim.
• India and Bhutan share a 699-kilometre border along with West Bengal, Sikkim, Assam and Arunachal Pradesh.
• India shares a 3323-kilometre border with Pakistan via Jammu and Kashmir, Ladakh, Punjab, Rajasthan, and Gujarat.
• India shares a 4096 km long border with Bangladesh via Assam, West Bengal, Mizoram, Meghalaya, and Tripura.
• India shares a 1643 km long border with Myanmar along with Arunachal Pradesh, Mizoram, Manipur and Nagaland.
• India shares 106 kms of border with Afghanistan along with Ladakh.

The logic given here is:-

Sum of the Alphabet's place value:- A = 1, B = 2, C = 3,.............Z = 26,

Then, "EAR" = 5 + 1 + 18 =24,

"EYE" = 5 + 25 + 5 = 35,

Similarly, LEG = 12 + 5 + 7 = 24.

Hence, "24" is the correct answer,

The correct answer is Medium. 

Key Points

• A wave has a wavelength, amplitude, and frequency.
• Waves are formed by the passing of water energy resulting in a circular motion.
• The highest length of the wave is called the Crest and the lowest point is known as a Trough.
• Wave amplitude is one half of the wave height.
• The time interval between two successive wave crests or trough is called a wave period.
• Wavelength is the horizontal distance between two successive crests.
• The speed at which a wave motion is called a wave speed is measured in knots.

From the statement

Birds fly in the sky, and Sky is coded is as fire,

Hence ,Fire is the correct answer.

Given:

Radius of the circle = r = 14 cm.

Radius is increased by 7 cm ⇒ Increased radius = R = 14 + 7 = 21 cm.

Concept Used:

Circumference of circle = C = 2 × π × radius

Calculation:

Circumference of circle initially = c = 2 × π × r

Circumference of circle finally = C = 2 × π × R

Increase in circumference = C – c = 2 × π × R – 2 × π × r

⇒ 2 × π × (R – r) = 2 × (22/7) × (21 – 14) = 2 × (22/7) × 7 = 44 cm

∴ Increase in circumference is 44 cm.

Concept Used:

[(a – 1)/(b – 1)] < (a/b)

Calculation:

Option 1:

8/9 > 7/8 ⇒ It can’t fall in that range.

Option 2:

6/7 > 3/5 and 6/7 < 7/8 ⇒ It is the right option.

Option 3:

12/13 > 7/8 ⇒ It can’t fall in that range.

Option 4:

3/5 = 3 × 7/(5 × 7) = 21/35

4/7 = 4 × 5/7 × 5 = 20/35

⇒ 3/5 > 4/7 ⇒ It can’t fall in that range.

∴ The right option is option 2.

The correct answer is Positrons.

Key Points

• The antimatter particles corresponding to electrons, protons, and neutrons are called positrons, antiprotons, and antineutrons.
• The positron is an antiparticle of the antimatter of the electron of charge of +1e.
• It has a spin of 1/2 and has the same mass as an electron.
• It was discovered by Carl D Anderson in 1932.
• Annihilation occurs when a positron and an electron collides.

Important Points

• A neutron is a subatomic particle that has a neutral charge and a mass (1.66 X 10^-27 kg) is slightly greater than that of a Proton.
• A proton is a subatomic particle with a positive charge and mass slightly less than that of a Neutron.

Concept Used:

sin 30° = ½

sin 45° = cos 45° = 1/√2

cos 30° = √(3)/2   

Calculation:

(sin 30°/cos 45°) × (sin 45°/cos 30°)

⇒ (sin 30° × sin 45°)/(cos 45° × cos 30°)

⇒ sin 30°/cos 30°            (∵ sin 45° = cos 45°)

Putting respective values,

⇒ (1/2)/{√(3)/2} = 1/√3

∴ (sin 30°/cos 45°) × (sin 45°/cos 30°) = 1/√3

Concept Used:

The real numbers are classified as rational and irrational numbers.

Every real number is unique and can be represented in number lines.

Conclusion:

According to this concept,

Option 2 is wrong because we can represent all the real numbers in the number line.

Given:

(2a/m + b/n) = 2

(a/m - b/n) = 4

Calculation:

2a/m + b/n = 2

⇒ (2an + bm)/mn = 2

⇒ 2an + bm = 2mn   ….(i)

also, (a/m - b/n) = 4

⇒ (an – bm)/mn = 4

⇒ an – bm = 4mn    ….(ii)

After adiing (i) and (ii)

⇒ 3an = 6mn

⇒ a = 2m

Put the value of a in equation (i) we get,

4mn + bm = 2mn

⇒ bm = -2mn

⇒ b = -2n

∴ values of a and b is 2m and -2n respectively.

Given:

Two-third of three-fifth of a number = 42

Calculation:

Let, the number be x.

According to question,

2/3 × 3/5 × x = 42

⇒ 2/5 × x = 42

⇒ x = 105

Now we have to find the value of 1/3 of x

⇒ 1/3 of x

⇒ 1/3 × 105 = 35

∴ One-third of that number is 35.

The correct answer is Inkjet printers.

Key Points

• A Gyroscope determines an angular velocity by sensing the change in orientation of a device when paired with an accelerometer.
• Gyroscopic effect is the ability of a rotating body to maintain a steady direction of its axis of rotation it rotates concerning the axis of symmetry at high speed.
• The two fundamental properties of gyroscopic action are rigidity in space and precision.
• There are three basic types of Gyroscope which are rotatory vibrating structure and optical Gyroscope.
• It is used in computer mouse, smartphones, racing cars, etc.

Given:

100, 120, 110, 90, 120, 140, 130, 120, 110, 100, 90, 140, 120, 100

Concept used:

The mode is the value that appears most often in a set of data values.

Calculation:

Following data is arranged in ascending order:

90, 90, 100, 100, 100, 110, 110, 120, 120, 120, 120, 130, 140, 140.

Mode = The value that appears most often in a set of data values

⇒ 120 appears most often (i.e. 4 times) in a set of data values.

∴ Mode = 120.

Given:

The marked price of book = Rs. 90

The selling price of book = Rs. 76

Formula used:

${\rm{Discount;percentage}} = {\rm{;}}\frac{{{\rm{Marked;price; }} - {\rm{;Selling;price}}}}{{{\rm{Marked;price;}}}} \times 100$

Calculation:

The marked price of book = Rs. 90

The selling price of book = Rs. 76

${\rm{Discount;percentage}} = {\rm{;}}\frac{{{\rm{Marked;price; }} - {\rm{;Selling;price}}}}{{{\rm{Marked;price;}}}} \times 100$

⇒ ${\rm{Discount;percentage}} = {\rm{;}}\frac{{90{\rm{;}} - {\rm{;}}76}}{{90{\rm{;}}}} \times 100$

$⇒ {\rm{Discount;percentage}} = {\rm{;}}\frac{{14}}{{90}} \times 100$

⇒ Discount percentage = 15.56%

∴ The discount percentage is 15.56%.