RRB NTPC Tier I Official Paper (Held On: 22 Apr 2016 Shift 2) (Previous Year Paper)

• Naxalbari Rebellion refers to the Left Wing extremist movement that traces its origin to the May 1967 peasant uprising at Naxalbari in the Darjeeling district of West Bengal.
• The movement was launched under the banner of the Communist Party of Indian (Marxist) (CPI-M), but, on April 1969, a split occurred in the Party and the radical platform was adopted by the new formation, the Communist Party of India (Marxist-Leninist) (CPI-ML) whose programs and activities were 'based on the thought of Mao- Ze- Dung', broadly translated by Mazumdar to its fundamentals as 'the physical annihilation of class enemies.'

Roger Federer is a Swiss professional tennis player. Federer is the only player to register at least ten titles on three different surfaces, he has 63 hard court titles, 15 grass court titles, and 11 clay court titles. In his prime years, he won an unparalleled 11 Grand Slams (3 Australian Open titles, 4 Wimbledon titles and 4 US Open titles) of a possible 16 events from 2004 to 2007. He reached the finals of all four Grand Slams in the same calendar year in 2006, 2007, and 2009, joining Rod Laver (1969) and later joined by Novak Djokovic (2015). In the World Tour Finals, Federer has won 6 titles in 10 finals, both Open Era records, at the prestigious year-end tournament featuring the top-8 players in the year-end rankings. He has qualified for the tournament a record 14 consecutive years from 2002 through 2015.

i) Radha, Rekha, Rakhi, Ragini, Rashmi, Reema and Renu are sitting around a circle facing the center.

ii) Reema is not an immediate neighbour of Rashmi.

iii) Radha is to the immediate right of Ragini.

iv) Rekha is second to the left of Reema.

v) Radha is third to the left of Renu.

So, the final arrangement is:

Among the following pairs, only Reema is sitting to the immediate left of Rakhi.

Hence, ‘Reema-Rakhi’ is the correct answer.

i) Radha, Rekha, Rakhi, Ragini, Rashmi, Reema and Renu are sitting around a circle facing the center.

ii) Reema is not an immediate neighbour of Rashmi.

iii) Radha is to the immediate right of Ragini.

iv) Rekha is second to the left of Reema.

v) Radha is third to the left of Renu.

So, the final arrangement is:

Hence, Reema is second to the left of Ragini.

i) Radha, Rekha, Rakhi, Ragini, Rashmi, Reema and Renu are sitting around a circle facing the center.

ii) Reema is not an immediate neighbour of Rashmi.

iii) Radha is to the immediate right of Ragini.

iv) Rekha is second to the left of Reema.

v) Radha is third to the left of Renu.

So, the final arrangement is:

Rakhi-Ragini-Reema → Rakhi is sitting between Ragini and Reema.

Hence, ‘Rakhi-Ragini-Reema’ is the correct answer.

The chemical name of common salt that we eat is sodium chloride, which is represented by the chemical formula NaCl. Chemical names for other types of salts include magnesium sulfate, commonly known as Epsom salt, potassium iodide, a salt commonly used in medicine for thyroid treatments, and calcium chloride, the type of salt that is commonly used on icy roads, in swimming pools and in aquariums.

The logic is:

Similarly,

Hence, ‘48703’ is the correct answer.

The correct answer is Pancreas.

Key Points

• The pancreas is the gland that secretes both enzymes and hormones.
• Enzymes secreted by the pancreas are trypsin, chymotrypsin, etc.
• Hormones secreted by it are insulin, glucagon, and somatostatin.
• Insulin is secreted by the pancreas gland of the human body.
• The liver, the largest gland in the body & the liver secretes bile, a digestive fluid, metabolizes proteins, carbohydrates, and fats.
• Salivary gland, Secrete saliva, a substance that moistens and softens food, into the oral cavity of vertebrates.
• The pituitary gland is called the “master gland” because its hormones regulate other important endocrine glands.

Additional Information

• Insulin is secreted by the beta cells of the islets of Langerhans.
• Insulin was first extracted by Banting and Best in 1921.
• Insulin helps to convert excess glucose into glycogen.
• Diabetes mellitus is a disease caused due to the deficiency of insulin.

Dari is the official name of the Persian language in Afghanistan. It is often referred to as the Afghan Persian.

Pakistan's national language is Urdu, which, along with English, is also the official language. 

The official national language of Bangladesh is Modern Standard Bengali.

The official language of Nepal is Nepali, formerly called Khaskura then Gorkhali.

The incumbent Minister of Commerce and Industry is Hardeep Singh Puri.

The correct answer is water pollution.

• Water pollution is a major environmental issue in India.
• The largest source of water pollution in India is untreated sewage.
• Other sources of pollution include agricultural runoff and unregulated small scale industry.
• Most rivers, lakes and surface water in India are polluted.

2x (w – z) = 2 × 3 × [(-2) + 1/2]

⇒ 6 × [-3/2]

⇒ -9

The correct answer is Hindustan Socialist Republican Association

• Hindustan Socialist Republican Association (HSRA) was a revolutionary organization, also known as the Hindustan Socialist Republican Army.
• It was established in 1928 at Feroz Shah Kotla New Delhi by Chandrasekhar Azad, Bhagat Singh, Sukhdev, and others.
• Previously it was known as the Hindustan Republican Association (HRA) whose written constitution and published manifesto titled, "The Revolutionary" was produced as a witness in the Kakori conspiracy case of 1925.
• Likewise, the Hindustan Republican Association (HSRA) was also a revolutionary organization that worked more dangerously from 1928 to 1931 in the Indian subcontinent to uproot the British Raj from the country through armed struggle.
• The Non-cooperation movement of 1920 led to large scale mobilization of the Indian population against the British rule.

The ratio of the two number is 4 : 9

⇒ Let the two numbers be 4x and 9x.

⇒ HCF of 4x and 9x is = x

⇒ x = 11

∴ LCM of 4x and 9x = 4 × 9 × x = 36 × 11 = 396

The pillar, made up of nearly seven tones of 98 per cent wrought iron of pure quality, is 7.21m (23 feet 8 inches) high, with 93 cm buried below the present floor level, and has a diameter of 41cm (16 inches). Rest is made up of phosphorous.

A. – and +

Given expression: 15 + 3 × 9 – 4 ÷ 16 = 57

After interchanging ‘– and +’, we get:

L.H.S = 15 - 3 × 9 + 4 ÷ 16

= 15 – 27 + 0.25

= 15.25 – 27

= -11.75 ≠ R.H.S

B. – and ÷

Given expression: 15 + 3 × 9 – 4 ÷ 16 = 57

After interchanging ‘– and ÷’, we get:

L.H.S = 15 + 3 × 9 ÷ 4 – 16

= 15 + 3 × 2.25 – 16

= 15 + 6.75 - 16

= 21.75 – 16

= 5.75 ≠ R.H.S

C. – and ×

Given expression: 15 + 3 × 9 – 4 ÷ 16 = 57

After interchanging ‘– and ×’, we get:

L.H.S = 15 + 3 - 9 × 4 ÷ 16

= 15 + 3 – 9 × 0.25

= 15 + 3 – 2.25

= 18 – 2.25

= 15.75 ≠ R.H.S

D. + and ÷

Given expression: 15 + 3 × 9 – 4 ÷ 16 = 57

After interchanging ‘+ and ÷’, we get:

L.H.S = 15 ÷ 3 × 9 – 4 + 16

= 5 × 9 – 4 + 16

= 45 – 4 + 16

= 61 – 4

= 57 = R.H.S

Hence, ‘+ and ÷’ is the correct answer.

Decibel is used to measure Noise. Sound frequency is measured in Hertz. Resistance is measured in Ohm and voltage is measured in Volt.

Assertion: India is a Sovereign country – True

India is a sovereign country because people have supreme right to make decisions.

Reason: Its parliament is placed in Delhi – True

The SansadBhavan is the house of the Parliament of India, which contains the LokSabha and the RajyaSabha located in New Delhi.

Hence, both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

Domestic demand has been increasing faster than the production of indigenous crude oil.

Conclusions:

I. Crude oil must be imported. → True

Domestic demand has been increasing faster than the production of indigenous crude oil. so, it is clear we need to import oil. 

II. Domestic demand must be reduced. → False

The above conclusion cannot be derived from the given statement.

Hence, I follows

Total quantity of jug = 60 units (LCM of 15, 20)

∴ If both hole work simultaneously, then the jug empty in = 60/(4 + 3) = $8\frac{4}{7}$

The family tree diagram is given below:

Hence, Meena is paternal aunt of Sharad.

Given,

Length of the rectangle l = 9 cm

Breadth of the rectangle b = 6 cm

As we know,

Diagonal of the rectangle = √[l² + b²]

∴ Diagonal of the rectangle = √(9² + 6²] = √(81 + 36) = √117 or 3√13 cm

The correct answer is Landfills.

Environment Degradation: Environmental degradation is the disintegration of the earth or deterioration of the environment through the consumption of assets, for example, air, water, and soil; the destruction of environments and the eradication of wildlife. 

• Types of Environmental Degradation:
• Land and soil degradation: Degradation of soil quality from poor farming practices, excessive use of fertilizers and pesticides, leakage from landfills, etc.
• Water degradation: Pollution of water from trash dumped in oceans, illegal dumping, disposal of large amounts of industrial waste into nearby rivers or lakes, etc.
• Atmospheric degradation: This includes air degradation, particle pollution, and the depletion of the ozone layer.
• Several other kinds of pollution: Apart from land, water, and atmospheric degradation, many other kinds of pollution such as noise pollution, light pollution are part of environmental degradation.
• Causes of Environmental Degradation:
• Land Disturbance
• Pollution
• Overpopulation
• Landfills
• Deforestation
• Impact of Environmental Degradation:
• ​Ozone layer depletion
• Loss of Biodiversity
• Impact on human health
• Impact on Tourism Industry
• Economic Impact

Cost of 3 minutes 30 seconds (210 sec) = Rs. 10

∴ Cost of 4 minutes 10 seconds (250 sec) = [10/210] × 250 = Rs. 11.9

Satish Dhawan Space Centre, also known as Sriharikota High Altitude Range is located in Sriharikota in Andhra Pradesh. It is a rocket launch centre operated by Indian Space Research Organisation (ISRO).

In bloodless surgery, the control of bleeding is achieved with the use of laser or sonic scalpels. The recovery rate is faster with bloodless surgery.

35968 ÷ 562 ÷ 8

⇒ 35968 × 1/562 × 1/8

⇒ 8

Total time to cover and back the same place by walking = 11 hrs 12 min

Total time to cover only one way by walking = (11 hr 12 min)/2 = 5 hr 36 min

Total time to cover only one way by riding = 9 hr 15 min – 5 hr 36 min = 3 hr 39 min

∴ Total time to cover and back the same place by riding = (3 hr 39 min) × 2 = 7 hr 18 min.

Distance covered by Track Q on Friday = 302 km

Time to cover 302 km distance by Track Q in = 8 hrs

∴ Speed of the track Q = 302/8 = 37.75 km/h

Total distance covered by Truck S on all days = 325 + 314 + 312 + 278 + 292 + 274 = 1795 km

∴ Required average = 1795/6 km

Total distance covered by all trucks on Saturday = 292 + 284 + 260 + 274 + 280 + 242

= 1632 km.

The bags of chips are filled with nitrogen gas.

Key Points

• This is done to prevent the chips from oxidizing.
• Oxygen is very reactive, and combines with other molecules, causing chemical changes to take place.
• Nitrogen is very stable and unreactive.
• So bags filled with nitrogen gas is good for storing foods that quickly oxidize.

Given:

CP = Rs. 3400

Loss = 15%

Desired Profit = 15%

Formula used:

Profit % = {(SP - CP)/CP} × 100

Loss % = {(CP - SP)/CP} × 100

where,

SP = Selling price

CP = Cost price

Calculations:

Loss % = {(CP - SP)/CP} × 100

⇒ 15 = {(CP - 3400)/CP} × 100

⇒ 0.15CP = CP - 3400

⇒ 0.85CP = 3400

⇒ CP = Rs. 4000

To gain profit of 15%,

Profit % = {(SP - CP)/CP} × 100

⇒ 15 = {(SP - 4000)/4000} × 100

⇒ 600 = SP - 4000

⇒ SP = Rs. 4600

∴ The bus should be sold at Rs. 4600 to get a profit of 15%.

Alternate Method

SP of the bus = Rs. 3400

⇒ CP of the bus = 3400 × 100/85 = Rs. 4000

New SP of the bus = 4000 × 115/100 = Rs. 4600

∴ The bus should be sold at Rs. 4600 to get a profit of 15%.

The logic is:

TRACTER = 14

Number of letters in the word TRACTER is 7 and (7 × 2) = 14

TROLLEY = 14

Number of letters in the word TROLLEY is 7 and (7 × 2) = 14

Similarly,

SCOOTER

Number of letters in the word SCOOTER is 7 and (7 × 2) = 14

Hence, ‘14’ is the correct answer.

The relation is:

LUNG : MAN → The human respiratory system is a series of organs responsible for taking in oxygen and expelling carbon dioxide. The primary organs of the respiratory system are the lungs, which carry out this exchange of gases as we breathe.

Similarly,

GILL : ______ → Fish gills are organs that allow fish to breathe underwater. Most fish exchange gases like oxygen and carbon dioxide using gills that are protected under gill covers on both sides of the pharynx (throat). Gills are tissues that are like short threads, protein structures called filaments.

Hence, ‘fish’ is the correct answer.

Divide Rs. 156 in the ratio = 1 : 2 : 4 : 5

1 + 2 + 4 + 5 = 12 unit

⇒ 12 unit = 156

⇒ 1 unit = 13

⇒ 2 unit = 26

⇒ 4 unit = 52

⇒ 5 unit = 65

∴ The rupees in the respective ratios are given = 13, 26, 52, 65

The venn diagrammatic representation for the given statements is shown below: 

Given :

33 students passed in Section A, 34 students passed in Section B and 32 passed in Section C.

A = 33, B = 34, C = 32.

10 students passed in Section A and Section B,

e + g = 10

9 students passed in Section B and Section C,

g + f = 9

8 passed in Section A and Section C,

d + g = 8

The number of students who passed each section alone was equal and was 21 for each section.

a = b = c = 21

Calculation :

A = 33

→ a + d + g + e = 33

putting values from above statement

→ 21 + 8 + e = 33

→  e = 4

therefore we can get other values from here as

g = 6, d = 2, f = 3

Now,

The number of students passed in one or more of the sections

= a + b + c + d + e + f + g

= (21 + 21 + 21 + 2 + 4 + 3 + 6) = 78

The number of students who passed in Section A alone

= a = 21

The ratio of the number of students passed in one or more of the sections to the number of students who passed in Section A alone = 78/21.

Hence, ‘78/21’ is the correct answer.

The venn diagrammatic representation for the given statements is shown below: 

Given :

33 students passed in Section A, 34 students passed in Section B and 32 passed in Section C.

A = 33, B = 34, C = 32.

10 students passed in Section A and Section B,

e + g = 10

9 students passed in Section B and Section C,

g + f = 9

8 passed in Section A and Section C,

d + g = 8

The number of students who passed each section alone was equal and was 21 for each section.

a = b = c = 21

Calculation :

A = 33

→ a + d + g + e = 33

putting values from above statement

→ 21 + 8 + e = 33

→  e = 4

therefore we can get other values from here as

g = 6, d = 2, f = 3

Now,

The students who passed in all the sections lies in the intersection area of all the three regions A, B and C, that is g.

The number of students who passed all the three sections = g =  6.

Hence, ‘6’ is the correct answer.

The Venn diagrammatic representation for the given statements is shown below: 

Given :

33 students passed in Section A, 34 students passed in Section B and 32 passed in Section C.

A = 33, B = 34, C = 32.

10 students passed in Section A and Section B,

e + g = 10

9 students passed in Section B and Section C,

g + f = 9

8 passed in Section A and Section C,

d + g = 8

The number of students who passed each section alone was equal and was 21 for each section.

a = b = c = 21

Calculation :

A = 33

→ a + d + g + e = 33

putting values from above statement

→ 21 + 8 + e = 33

→  e = 4

therefore we can get other values from here as

g = 6, d = 2, f = 3

Now,

The number of students who passed only one of the three sections

= a + b + c

= 21 + 21 + 21 = 63.

Hence, ‘63’ is the correct answer.

New technology has left the floppy disk almost obsolete. In the late 80's, the 5.25-inch floppy disk was on its way out and in 1987 the 3.5-inch floppy disk had moved into the high density category with a capacity of 1.44 MB. 711 1.44 MB floppy disks to equal 1 Gigabyte.

Assertion: Water is essential for life. → True

All known life needs liquid water to function properly. It's essential in part because water is such a good solvent, readily dissolving and transporting nutrients across a wide range of temperatures. Its molecules also play a key role in ensuring proteins behave properly.

Reason: It is formed using three parts of Hydrogen and one part of Oxygen. → False

The water molecule is composed of two hydrogen atoms, each linked by a single chemical bond to an oxygen atom. Most hydrogen atoms have a nucleus consisting solely of a proton.

Hence, Assertion is true but Reason is false.

7497 ÷ 147 – 8

⇒ 51 – 8

⇒ 43

• The Bhimbetka rock shelters are an archaeological site of the Paleolithic, exhibiting the earliest traces of human life on the Indian Subcontinent, and thus the beginning of the Indian Stone Age.
• They are located in the foothills of the Vindhyan Mountains on the southern edge of the central Indian plateau, in the Raisen district of MP.
• It is located inside the Ratapani Wildlife Sanctuary.
• It was declared as a World Heritage Site in 2003.

Given expression: 19 ÷ 9 × 51 – 171 + 19

After replacing the letters by their meaning, we get:

19 × 9 - 51 + 171 ÷ 19

= 171 – 51 + 9

= 180 – 51

= 129

Hence, ‘129’ is the correct answer.

NASA's Hubble Space Telescope was launched April 24, 1990, on the space shuttle Discovery from Kennedy Space Center in Florida (Southeastern most U.S. state). The Hubble Space Telescope is named in honor of astronomer Edwin Hubble.

Make the denominator same of all the given fractions,

⇒ 2/7 = 2/7 × 10/10 = 20/70

⇒ 0.3 = 3/10 × 7/7 = 21/70

⇒ 3/7 = 3/7 × 10/10 = 30/70

∴ Ascending order of the fractions = 2/7, 0.3, 3/7

Dr. Lakshminarayana Subramaniam is an Indian violinist. He was honored with the title “Violin Chakravarthy” (emperor of the violin).

The correct answer is India.

• The Constitution of India is the longest written constitution of any sovereign country in the world, containing 449 articles in 25 parts, 12 schedules with 117,369 words in its English-language translation.

Key Points

• Many provisions of the Indian Constitution is borrowed from other constitution but the Indian Constitution is Indian in character.
• We just borrowed these provisions and moulded them as per the Indian requirement.

List of provisions that are borrowed from other constitutions are-

Let the distance be x km

According to the question

x/3 + x/5 + x/8 = 39.5/60

⇒ x [(40 + 24 + 15)/120] = 39.5/60

⇒ 79x = 39.5 × 2

⇒ x = 39.5/79 × 2

⇒ x = 1

∴ The total distance = 3x = 3 km.

A. 20 × 1 – 7 = 3

After interchanging ‘-’ and ‘×’ signs as well as ‘7’ and ‘3’, we get:

20 – 1 × 3 = 7

L.H.S = 20 – 3

= 17 ≠ R.H.S

B. 1 × 20 – 7 = 20

After interchanging ‘-’ and ‘×’ signs as well as ‘7’ and ‘3’, we get:

1 – 20 × 3 = 20

L.H.S = 1 – 60

= -59 ≠ R.H.S

C. 3 – 7 × 1 = 20

After interchanging ‘-’ and ‘×’ signs as well as ‘7’ and ‘3’, we get:

7 × 3 – 1 = 20

L.H.S = 21 – 1

= 20 = R.H.S

D. 20 – 3 × 1 = 7

After interchanging ‘-’ and ‘×’ signs as well as ‘7’ and ‘3’, we get:

20 × 7 – 1 = 3

L.H.S = 140 – 1

= 139 ≠ R.H.S

Hence, ‘3 – 7 × 1 = 20’ is the correct answer.

The Golden Glove Award (currently commercially termed "Adidas Golden Glove"; previously known as the "Lev Yashin Award" from 1994 to 2006) for best goalkeeper, first awarded in 1994.

The relation is:

EDITOR : MAGAZINE→ A magazine editor is a senior-level journalist responsible for the planning and execution of issues of consumer and trade magazines. These editors choose the exact content, including written work and photos, the print or Web magazine will publish.

Similarly,

_______ : DRAMA → A theatre director or stage director is a professional in the theatre field who oversees and orchestrates the mounting of a theatre production such as a play, opera, dance-drama, musical theatre performance etc. by unifying various endeavours and aspects of production.

Hence, ‘director’ is the correct answer.

The MOST Space Telescope (which stands for Micro variability and Oscillation of Stars) was launched into space in 2003. It is the first Canadian scientific satellite in orbit in 33 years, and it is the first space telescope to be entirely designed and built in Canada.

Saltoteuk → LOTUS flower and TEAK tree are the two words made.

First letter of the name of flower is ‘L’ and tree is ‘T’

Hence, ‘LT’ is the correct answer.

Note: Teak is a type of tree that produces hardwood.

The logic is:

Similarly,

Hence, ‘DRAPOEL’ is the correct answer.

Ganga and Yamuna are the two physical rivers and Saraswati is an invisible river. The Saraswati remains hidden, but the faithful believe that she makes her presence felt underwater. During the monsoon, when the rivers are in full flow, the confluence is seen clearly due to the force of the water.

P = Rs. 3500, r = 4% and time = 2 years

As we know,

A = P (1 + r/100)^t

⇒ A = 3500 (1 + 4/100)²

⇒ A = 3500 × 26/25 × 26/25

⇒ A = Rs. 3785.6

∴ CI = 3785.6 – 3500 = Rs. 285.6

The family tree diagram is shown below:

Hence, the person in the painting is ‘Paternal Grandfather’ of Reema.

P = 10,000, r = 20% and time = 6 month

If interest compounded quarterly, then

r = 20/4 = 5% and time = 6/2 = 2 quarters

As we know,

A = P (1 + r/100)^t

⇒ A = 10000 (1 + 5/100)²

⇒ A = 10000 × 21/20 × 21/20

∴ A = Rs. 11025

The correct answer is Option 4, i.e A - 49%.

• The Government increased the FDI limit (foreign direct investment) for news and current affair channels, DTH and Cable Operators.
• The government announced that foreign investment will be relaxed in 15 sectors.
• While 100% FDI has been allowed in DTH and Cable Networks (MSOs and LCOs), the foreign investment in the uplinking of news and current affairs TV channels has been raised to 49% from 26% earlier.
• Print and Digital Media have an FDI of 26%.

The Correct answer is Mangrove.

Key Points

• Sundarbans is the largest single block of tidal halophytic mangrove forest in the world.
• It is a natural region in southern Bangladesh and the extreme southern part of the Indian state of West Bengal in the vast river delta on the Bay of Bengal.

Important Points

• Mangrove, any of certain shrubs and trees that belong primarily to the families Rhizophoraceae, Acanthaceae, Lythraceae, Combretaceae, and Arecaceae.
• Grow in dense thickets or forests along tidal estuaries, The term mangrove also applies to thickets and forests of such plants.
• Woody shrub, has several stems, none dominant, and is usually less than 3 m (10 feet) tall. When much-branched and dense, it may be called a bush.
• A marsh is a wetland dominated by herbaceous plants such as grasses, rushes, or sedges. Marshes usually form along the shallow edges of lakes.
• Papyrus, writing material of ancient times and also the plant from which it was derived, Cyperus papyrus also called paper plant & Papyrus is a grasslike aquatic plant that has a woody.

The Oxford English Dictionary (OED) defines nanotechnology as "The branch of technology that deals with dimensions and tolerances of 1 to 100 nanometers, or, generally, with the manipulation of individual atoms and molecules."

The variance of a set of data is = 144

∴ The standard deviation of the data is = √144 = 12

Given:

A shopkeeper cheats to the extent of 9% while buying and selling fruits

by using tampered weights.

Concept Used:

Profit% = Cheat weight/Original weight × 100

Calculation

Let the cost price (C.P.) per kg of the fruits is Rs. 1000.

The shopkeeper cheats to the extent of 9% while buying and selling

Cheat 9% at the time of buy on 1000 gm

⇒ 1000 × (100 + 9)/100

⇒ 1090 gm purchase

Cheat at the time of selling on 1000 gm

⇒ 1000 × (100 - 9)/100

⇒ 910 gm sold

Profit % = (1090 - 910)/910

⇒ 19.78%

∴ His total gain in percentage is 19.78%.

CONCEPT:

• Friction: The opposing force which opposes the relative motion between two surfaces is called friction.
• It is denoted by f and the SI unit of the frictional force is Newton (N).

Friction (f) = μ N

Where μ is the coefficient of friction and N is the normal force between two surfaces

EXPLANATION:

• Friction is the resistance that one surface or object encounters when moving over another.
• A person lifting a heavy object is not an example of friction because there is no relative motion between two surfaces here. So option 4 is correct.

sin x = 4/5

Perpendicular = P, Hypotenuse = H and Base = B.

⇒ sin x = P/H = 4/5

⇒ P = 4 and H = 5

As we know,

H² = P² + B²

⇒ 5² = 4² + B²

⇒ B² = 25 – 16 = 9

⇒ B = √9

⇒ B = 3

Now, tan x = P/B

⇒ tan x = 4/3

And, cot x = B/P

⇒ cot x = 3/4

Now,

$\therefore \frac{{\tan x}}{{\cot x}} = \frac{{\frac{4}{3}}}{{\frac{3}{4}}}$

⇒ 4/3 × 4/3

⇒ 16/9

Other Method:

sin x = 4/5

Perpendicular = P, Hypotenuse = H and Base = B.

⇒ sin x = P/H = 4/5

⇒ P = 4 and H = 5

As we know,

H2 = P2 + B2

⇒ 52 = 42 + B2

⇒ B2 = 25 – 16 = 9

⇒ B = √9

⇒ B = 3

So, cos x = B/H = 3/5

Now, tan x/cot x = tan x × tan x = tan² x = (sin x/cos x)² 

⇒ (4/5)²/(3/5)² = 16/9

The first jute mill was established at Rishra, on the River Hooghly near Calcutta in 1855 when Mr. George Acland brought jute spinning machinery from Dundee.

CSS is an acronym for Cascading Style Sheet. Files that contain the .css file extension are used to format the contents of an associated Web page. While the CSS file format is most commonly associated with website pages that have been written in the HTML and XHTML programming languages, the format can also be applied to any type of XML document.

As we know,

Number of sides any polygon = 360°/each exterior angle

∴ Required number of sides of a polygon having each exterior angle 45° is = 360°/45° = 8

Let the cost price of the article be Rs. x

SP (at 2% profit) = 102/100 × x = 1.02x

SP (at 14% profit) = 114/100 × x = 1.14x

∴ Required ratio = 1.02 : 1.14 = 17 : 19

Given expression: 5 + 4 ÷ 2 – 8 × 14

When signs – and ×, and numbers 5 and 14 are interchanged, we get:

14 + 4 ÷ 2 × 8 – 5

= 14 + 2 × 8 – 5

= 14 + 16 – 5

= 30 – 5

= 25

Hence, ‘25’ is the correct answer.

Homo naledi is an extinct species of hominin, which anthropologists first described in 2015 and have assigned to the genus Homo. The word "naledi" means "star" in the Sotho-Tswana languages. It, and the corresponding name Dinaledi Chamber ("chamber of stars"), were chosen to reference the Rising Star cave system where the fossils were found.

Aquarium is a human made ecosystem. An aquarium comprises of green plants, fish and other aquatic animals.

2⁴ ÷ 2^-1

⇒ 2^{4 + 1}

⇒ 2⁵

⇒ 2 × 2 × 2 × 2 × 2

⇒ 32

Suppose, $0.02\overline {36} = x$  ----(i)

Multiply by 100 in equation (i), we get

$100x; = ;2.\overline {36}$     ----(ii)

Multiply by 100 in equation (ii), we get

$10000x = 236.\overline {36}$  ----(iii)

Subtract equation (ii) from equation (iii)

9900x = 234

⇒ x = 234/9900 = 26/1100

∴ x = 13/550

Genetic engineering is the direct manipulation of an organism's genome using biotechnology. It is a set of technologies used to change the genetic makeup of cells, including the transfer of genes within and across species boundaries to produce improved or novel organisms.

The mode of the data is (-3, 4, 0, 4, -2, -5, 1, 7, 10, 5) = 4 (highest frequency)

Mouma Das is a table-tennis player from West Bengal, India. Soumyajit Ghosh is also an Indian table tennis player from Siliguri, West Bengal. He was the youngest Indian player to qualify for the London, 2012 Olympics.

54367 × 9999

⇒ 54367 × (10000 – 1)

⇒ 543670000 – 54367

⇒ 543615633

Only certain body fluids — blood, semen (cum), pre-seminal fluid (pre-cum), rectal fluids, vaginal fluids, and breast milk — from an HIV - infected person can transmit HIV. Most commonly, people get or transmit HIV through sexual behaviors and needle or syringe use. HIV is not passed through mosquito bites.

The relation is:

CLIMB : TREE → Tree climbing is a recreational or functional activity consisting of ascending and moving around in the crown of trees.

Similarly,

A. ROW : SHIP → Row is the position where the container is placed across the width of the ship.

B. RISE : TOP →These two words are synonyms.

Rise - move from a lower position to a higher one; come or go up.

Top - the highest or uppermost point, part, or surface of something.

C. ASCEND : CLIFF → Rock climbing is a sport in which participants climb up, down or across natural rock formations, and ascend cliffs.

D. FILE : FINGER → These two words have different meaning.

File - a folder or box for holding loose papers together and in order for easy reference.

Finger - each of the four slender jointed parts attached to either hand (or five, if the thumb is included).

Hence, ‘ASCEND : CLIFF’ is the correct answer.

The relation is:

ROASTER : DUTY → Duty Roaster is a program for managing and generating duty rotas.

Similarly,

INVENTORY : _______ → Inventory is the account of all the goods a company has in its stock, including raw materials, work-in-progress materials, and finished goods that will ultimately be sold.

Hence, ‘goods’ is the correct answer.

The family tree diagram is shown below:

Hence, Yuvraj is ‘nephew’ of Deepti.

Rotational symmetry:

If a figure is rotated around a centre point and it still appears exactly as it did before the rotation, it is said to have rotational symmetry. A number of shapes like squares, circles, regular hexagon, etc. have rotational symmetry.

The order of rotational symmetry of a rhombus is 2, (1 in respect to length and 1 in respect to height)

On 12 April 1961, Russian cosmonaut Yuri Gagarin became the first human to travel into space when he launched into orbit on the Vostok 3KA - 3 spacecraft (Vostok 1).

Arnold Schwarzenegger has agreed to act in the upcoming film Enthiran 2.

? = 7x + 3x(x – 4)

⇒ 7x + 3x² – 12x

∴ ? = 3x² – 5x

As we know,

The product of two numbers = HCF × LCM

⇒ 3192 = 56 × LCM

⇒ LCM = 3192/56

∴ LCM = 57

Galvanized iron is a type of iron that has been coated in a layer of zinc to help it resist corrosion.

The correct answer is Archimedes' principle.

Concept:

Archimedes principle:

the principle of Archimedes states “When a body is immersed in a liquid, an upward thrust, equal to the weight of the liquid displaced, acts on it.”

Thus, when a solid is fully immersed in a liquid, it loses weight which is equal to the weight of the liquid it displaces.

i.e., $Apperent;weight = actual;weight - buoyant;force = mg - \rho gV$

where m is mass of the object, ρ is the density of the fluid

Hence if there is no gravity, there is no Upward Thrust.

The upward force applied to the object is called the buoyant force.

Here,

ρ = density of liquid

g = acceleration due to gravity

V = volume of liquid displaced by the object

Explanation:

Archimedes’ principle**,** a physical law of buoyancy states that any body completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward, or buoyant, force the magnitude of which is equal to the weight of the fluid displaced by the body.

Hence floating of the ship is based on Archimedes principle:

The data are 2, 9, 9, 3, 6, 9, 4

As we know,

Mean of the data = Sum of all observations/Number of all observations

⇒ Mean of the data = (2 + 9 + 9 + 3 + 6 + 9 + 4)/7 = 42/7 = 6

Mean deviation = [|2 – 6|+|9 – 6|+|9 – 6|+|3 – 6|+|6 – 6|+|9 – 6|+|4 – 6|]/7

∴ Mean deviation = (4 + 3 + 3 + 3 + 0 + 3 + 2)/7 = 18/7

Let the efficiency of the Tarun be 1 unit/day

⇒ Efficiency of Prahshanth = 2 units/day

Total work = (2 + 1) × 21 = 63 units

∴ Tarun alone finish the whole work in = 63/1 = 63 days

A. If all players play to their full potential, we will win the match.

B. We have won the match.

Conclusions:

I. All players played to their full potential. → True

As, both the statement justifies the conclusion, they have won the match which means they played to their full potential.

II. Some players did not play to their full potential. → False

As, they have won the match and ‘if all players play to their full potential, we will win the match’.

So, the conclusion is not justified by the statement.

Hence, only conclusion I follows.

Even before East India Company consolidated power, India was exporting cotton, silk, indigo dye, salt, saltpetre, tea and opium. Fine textiles among them were cotton and silk.

The logic is:

Similarly,

Hence, ‘LOGYANA’ is the correct answer.

Shortcut Trick

Apply the direct formula for tan (A + B).

Numerator = sum of tan A and tan B → 15/8 + 7/24 = (45 + 7)/24 = 52/24 = 13/6.

Denominator = 1 − (product of tan A and tan B) → 1 − (15/8 × 7/24) = 1 − 105/192 = 87/192.

Result = (13/6) ÷ (87/192) = (13/6) × (192/87) = 13 × 32 / 87 = 416/87.

∴ The correct answer is 416/87.

Alternate Method

Given:

tan A = 15/8

tan B = 7/24

Formula Used:

tan (A + B) = (tan A + tan B) / (1 − tan A × tan B)

Calculations:

⇒ Numerator = (15/8) + (7/24)

⇒ LCM of 8 and 24 is 24.

⇒ Numerator = (15×3 + 7) / 24 = (45 + 7) / 24 = 52/24 = 13/6

⇒ Denominator = 1 − (15/8 × 7/24)

⇒ Denominator = 1 − (105 / 192)

⇒ Denominator = (192 − 105) / 192 = 87 / 192

⇒ tan (A + B) = (13/6) / (87/192)

⇒ tan (A + B) = (13/6) × (192/87)

⇒ tan (A + B) = 13 × 32 / 87 = 416/87

∴ The correct answer is 416/87.

Additional Information

Compound Angle Formulas

tan (A − B) = (tan A − tan B) / (1 + tan A × tan B).

Double Angle Formulas

tan 2A = (2 tan A) / (1 − tan² A).

Complementary Angles

If A + B = 45°, then (1 + tan A)(1 + tan B) = 2.

The six fundamental rights recognized by the Indian constitution are:

1. Right to equality
2. Right to freedom
3. Right against exploitation
4. Right to freedom of religion
5. Cultural and Educational rights
6. Right to constitutional remedies

The Forty-Fourth Amendment of 1978 deleted right to property from the list of fundamental rights

Social insect, any of numerous species of insects that live in colonies and manifest three characteristics: group integration, division of labor, and overlap of generations. Social insects are best exemplified by all termites (Isoptera) and ants (Formicidae) and by various bees and wasps (Hymenoptera).

Given: 

-4 = -7 + 3x

Calculation: 

-4 = -7 + 3x

⇒ 3x = 7 – 4

⇒ x = 3/3

∴ x = 1

Assertion: The phenomenon of nuclear fission generates great energy. → True

Nuclear fission is when an atoms nucleus splits into two smaller nuclei, which typically releases some high energy photons (light, gamma rays really), and free neutrons, which themselves have kinetic energy.

Reason: The process in which a nucleus is broken into two parts is called nuclear fission. → True

Hence, Both Assertion and Reason are true and Reason is the correct explanation of Assertion.