RRB JE CBT 1 - Full Test 10 - Railways

According to the question,

1) O gets the lowest grade among them.

2) Number of peoples having higher grade than K and number of peoples having lower grade than K are equal.

3) G does not get highest grade but his grade is better than K.

4) F neither got highest nor lowest grade.

Which means, F got grade B, and P got grade E.

Thus F got grade B.

• Challachitram National Film Festival was held in March with a special award for entries from the northeastern region.
• The theme of the festival was 'Our Heritage, Our Pride'.
• Entries for animation films, short films, and documentaries had been invited for both the competitive and non-competitive sections.

SI unit of Work is Joule.

Similarly SI unit of Inductance is Henry.

Thus Inductance is related to Henry.

For an odd number of terms of an AP always take the middle term as a and other terms on either side with a common difference d.

Let the three numbers in A.P. be

(a – d), a & (a + d)

Given (a – d) + a + (a + d) = 18 or 3a = 18

∴ a = 6                   …(i)

Further (a – d)² + a² + (a + d)² = 158

⇒ 3a² + 2d² = 158

⇒ 2d² = 158 – 3 × 36

⇒ d² = 25 or d = ± 5

Then, the numbers are 1, 6, 11.

Thus, the greatest number is 11.

• The conservation of species in their natural habitats is known as In situ conservation. It is considered the most appropriate way to conserve biodiversity.
• The conservation of components of biodiversity outside their natural habitats is known as Ex situ conservation. 

Talking about the 1^st row, 5^th column element is obtained by multiplying 1^st column by 3^rd column then adding by 4^th column and then subtracting it by 2^nd column.

18 × 3 + 1 – 5 = 54 + 1 – 5 → 50

Similarly for 3^rd row

20 × 4 + 5 – 30 = 80 + 5 – 30 → 55

So for 2^nd row,

12 × ? + 2 – 50 = 24

12 × ? = 72

? = 72/12

= 6

Hence, “6” is the correct answer.

When two ice cubes are pressed together, the surface pressure temporarily decreases the melting point of the top layer of ice. This top layer melts and as soon as the pressure is released, the molten ice (water) freezes back into ice due to the low temperature of surrounding molecules and this effectively forms a kind of water weld between the ice cubes.

According to the question,

Case-1

Case-2

Hence from the above arrangements, car owner’s brother is either father or uncle of Mr. X.

The Psophometer measures AF(Audio Frequency) signal level and noise.

The given information can be represented as,

Hence, the word ‘appropriated’ is coded as ‘pft’.

Quantity of water in 300 ml of mixture = [x/(x + 1)] × 300

When 50 ml of water is mixed in the mixture, ratio of acid and water becomes 2 ∶ 5

⇒ Quantity of water in in the new mixture = 5/7 × (300 + 50)

⇒ (x/x + 1) × 300 + 50 = 5/7 × (300 + 50)

⇒ (x/x + 1) × 300 = 200

⇒ (x/x + 1) = 2/3

∴ x = 2

The pattern followed here is as follows,

1171 + (11)² = 1171 + 121 = 1292;

1292 + (10)² = 1292 + 100 = 1392;

1392 + (9)² = 1392 + 81 = 1473;

1473 + (8)² = 1473 + 64 = 1537;

1537 + (7)² = 1537 + 49 = 1586;

1586 + (6)² = 1586 + 36 = 1622

1622 + (5)² = 1622 + 25 = 1647;

1647 + (4)² = 1647 + 16 = 1663

Thus the missing numbers are 1392, 1537, 1622.

• The aerosol is the suspension of particles in the air & atmosphere.
• They have both human-made and natural sources.
• Aerosol particles form during combustion or other industrial processes in factories and car engines, from burning biomass (such as trees and brush) to clear land for agriculture, and even in cooking fires.

Covalent bonds are formed by atoms sharing electrons to form bonds that hold the atoms together in a molecule. This type of bond usually formed between two non–metallic elements. Nitrogen, being a non-metal, has 5 electrons is its outer shell. So to make the atom count 8 in order to get stabilized, 2 nitrogen atom would share 3 atoms each with each another, thus forming 3 pairs. These bonds which are then formed are known triple covalent bond.

Let the number be = 16k + 4 (where k is positive integer.)

Square of the number = (16k + 4)² = 256k² + 16 + 128k

Now, we have to find the remainder when the above number is divided by 16.

We will see the reminder of each term when it is divided by 4.

Since 256k² and 128k will give the remainder 0 and 16 will give the remainder 0 when divided by 4.

So the required remainder = 0 + 0 + 0 = 0

As,

100 × 100 = 10000

So, the square of any three-digit number is of 5 digit or more

⇒ 99 × 99 = 9801

So, 9801 is the largest 4-digit perfect square

Here the vertical arrows changes direction in every next step, whereas the inclined lines forms mirror image in each step. The bidirectional arrow rotates 90 degree in clockwise direction in each step.

Hence, the above image will be the next image of the given series.

Let, side of cube at first = x

∴ Volume of the cube at first = x³

∴ side of the cube now = x + x × 10/100 = 1.1x

∴ Volume of the cube now = (1.1x)³ = 1.1331x

∴ percentage increase in the volume of the cube,

⇒ 0.331 × 100%

⇒ 33.1%

CICR is headquartered in Nagpur, Maharashtra. It was established in April 1976. On March 15 scientists from the organisation has developed what is reported to be the shortest-duration cotton variety in the world. Requiring only 100-120 days for maturity, the new variety could emerge as the solution to the problems of dryland cotton farmers in regions like Vidarbha and Telangana.

Net percentage of SI in 2 years = 13 + 13 = 26%

Net percentage of CI in 2 years = 13 + 13 + (13 × 13)/100 = 27.69%

According to question

CI + SI = 26 + 27.69 = 53.69

⇒ 53.69 unit = Rs. 5369

⇒ 100 unit = 5369/53.69 × 100 = Rs. 10,000

∵ An equal sum is invested in two different schemes

⇒ Total sum = 2 × 10,000 = Rs. 20,000

LCM of fractions = LCM of numerators/HCF of denominators

LCM of Numerators = LCM of 7 and 9 = 63

HCF of Denominators = HCF of 5 and 25 = 5

∴ LCM of (7/5) and (9/25) = 63/5

• Bradley Cooper was awarded the ‘Oscat’ by People for the Ethical Treatment of Animals (PETA).
• The animal rights organisation awarded the best director award to Cooper for his enlightened decision to cast his own canine companion in ‘A Star Is Born’.
• PETA is an American animal rights organisation based in Norfolk, Virginia, and led by Ingrid Newkirk, its international president.

We know that,

(x + y + z)² = x² + y² + z² + 2(xy + yz + zx)

Now, substituting the value we have,

⇒ 6² = x² + y² + z² + 2(10)

⇒ 36 = x² + y² + z² + 20

⇒ x² + y² + z² = 16

We know that,

a³ + b³ + c³ = (a + b + c)(a² + b² + c² – ab – bc – ac) + 3abc

So,

⇒ x³ + y³ + z³ – 3xyz = (x + y + z){x² + y² + z² – (xy + yz + zx)}

Now, substituting the values we have,

⇒ x³ + y³ + z³ – 3xyz = 6 × (16 – 10) = 6 × 6 = 36

Statement I: Medicines today have become an integral part of everyone’s life.

Statement II. People undergo medicinal treatment at any age.

Conclusion I:

Lifestyle has made us easy going and less caring for health → It does not follow from any of the given statements.

Conclusion II:

Medicines have become a compulsory part of one’s life → 'Integral' does not mean 'compulsory', hence conclusion 2 does not follow.

Hence neither of the conclusions follow. 

In JFTNC : OAYIH,

Similarly for LSHVM,

Thus LSHVM is related to QNMQR.

Biotic components comprise of living things that contribute in the formation of an ecosystem. These include animals, humans, plants, microorganisms etc.

Abiotic components include non-living parts of the ecosystem such as light, water, air, soil etc.

The correct answer is option 1. Only argument I is strong. 

The first argument states that if lights are switched off after midnight, then it can result in increased crime and accidents, thus it is a strong argument as it has a direct impact on life of people.

Argument II, in comparison with argument I, is weaker as there are other ways to save electricity, such as switching to more efficient sources, managing the usage of electricity, etc. Switching off streetlights after midnight will increase the risk to human lives which cannot be allowed. Thus, argument II is not strong.

3709, 5147, and 2671 all are prime numbers whereas 3171 is not.

Thus 3171 is the odd number.

Avogadro’s Law states that at constant temperature and pressure, all equal volume of gases will have an equal number of molecules" which means 'V' is directly proportional to the 'Number of molecules'.

Following the BODMAS rule,

1) ×, ÷, +, - → 130 × 15 ÷ 20 + 10 - 2 = 105.5 ≠ 45

2) ÷, ×, +, - → 130 ÷ 15 × 20 + 10 - 2 = 181.33 ≠ 45

3) +, -, ×, ÷ → 130 + 15 - 20 × 10 ÷ 2 = 45

4) -, ÷, ×, + → 130 - 15 ÷ 20 × 10 + 2 = 124.5 ≠ 45

Hence, “+, -, ×, ÷” is the correct answer.

• In the periodic table of elements, there are seven horizontal rows of elements called periods. The vertical columns of elements are called groups, or families.
• The transition metalsmake up the middle block of the periodic table.
• The transition elements or transition metals occupy the short columns in the center of the periodic table, between Group 2A and Group 3A.  They are sometimes called the d-block elements, since in this region the d-orbitals are being filled in, and are also referred to as B-group elements since in most numbering systems of the columns on the periodic table the numerals of these groups are followed by the letter B.

Given,

The average of 10 numbers = 20

⇒ Sum of 10 numbers = 20 × 10 = 200

The average of other 30 numbers = 40

⇒ Sum of other 30 numbers = 40 × 30 = 1200

Sum of all 40 numbers = 200 + 1200 = 1400

∴ Average of all 40 numbers = 1400/40 = 35

Hence, Average of 40 numbers = 35

• Henri Becquerel discovered radioactivity in 1896.
• The term “radioactivity” was given by Marie and Pierre Curie.
• Marie and Pierre Curie discovered radioactive elements, radium and polonium.
• The process by which an unstable atomic nucleus loses energy by emitting energy is termed as radioactivity.

• The acid which help us to digest food and is present in our stomach is HCL.
• Hydrochloric acid activates pepsinogen into the enzyme pepsin, which then helps digestion by breaking the bonds linking amino acids, a process known as proteolysis.
• Gastric acid, gastric juice or stomach acid, is a digestive fluid formed in the stomach and is composed of hydrochloric acid, potassium chloride and sodium chloride

1) Opinion → PRONUNCIATION

2) Cartoon → PRONUNCIATION

3) Curtain → PRONUNCIATION

4) Curator → cannot be formed as there is single R in the word PRONUNCIATION.

Thus word ‘Curator’ cannot be formed from the word PRONUNCIATION.

Follow BODMAS rules to solve the equation

Step -1: The part of the equation containing 'Brackets' must be solved first, and in the bracket,

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

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

Step -4: At last, the part of the equation that contains 'Addition' and 'Subtraction' should be solved.

⇒ 2112 + 692 × 2 – 1111 × 5 + 7324 × 8 = ?

⇒ 2112 + 1384 – 5555 + 58592 = ?

⇒ ? = 62088 – 5555 = 56533

∴ ? = 56533.

Given,

x + 4/x = 4

⇒ x² + 4 = 4x

⇒ x² - 4x + 4 = 0

⇒ (x - 2)² = 0

⇒ x = 2

∴ (x⁶ + 1) = 2⁶ + 1 = 64 + 1 = 65

∵ Time = Distance/Speed

Total time = T₁ + T₂ + T₃

⇒ Total time = 2000/50 + 1200/60 + 1000/100

⇒ Total time = 40 + 20 + 10 = 70 hrs

Average speed = (Total Distance)/(Total time)

∴ Average speed = 4200/70 = 60 km/hr

Godavari is the second longest river in India. It originates from the Brahmagiri Mountain located in Maharashtra.

It’s major tributaries are divided into left bank tributaries and right bank tributaries. Pranhita, Indravati and Sabari are the major left bank tributaries of Godavri.

• There is no oath of office to be administered to the Speaker of the Lok Sabha. 
• The Speaker submits his or her resignation to the Deputy Speaker of the Lok Sabha. 
• The Chief Justice is responsible for administering the oath of office to the President whereas he submits his resignation to the Vice President. 
• The President administers the oath of office to the Prime Minister and he submits his resignation also to the President. 
• The President administers the oath of office to the Vice President and also accepts his or her resignation if required.

Alnico is from a family of iron alloys which in addition to iron are composed primarily of aluminium, nickel, and cobalt. They also include copper, and sometimes titanium. They are used for making magnets for hearing aids.

⇒ Let the distance to office be x km

⇒ Time taken if he rides at 40 km/hr = (x/40) hr

⇒ Time taken if he rides at 60 km/hr = (x/60) hr

⇒ difference of time = 10 min + 10 min = 20 min = 1/3 hr

⇒ (x/40) − (x/60) = 1/3 

⇒ (3x - 2x)/120 = 1/3 

⇒ 3x = 120

∴ x = 40 km

• Stapes is found in Ears.
• It is one of the three ear ossicles present in human body. The three ossicles are Malleus, Incus and Stapes.
• Stapes is shaped like a stirrup and is the smallest bone in the Human body.

Since the ratio of selected to unselected was 2 : 1;

Selected candidates = 2x, Unselected candidates = x and total applied candidates = 3x

If 50 less had applied and 25 less selected, the ratio of selected to unselected would have been 9 : 4

∴ Total applied candidates = (3x – 50)

And Selected candidates = (2x – 25) and Unselected candidates = x – 50 + 25

∴ (2x – 25) / (x – 25) = 9/4

⇒ x = 125

∴ Total number of candidates who applied = 3x = 375

Since e-scooters run on batteries, so there are no fumes or burning of fuels in the engine. Thus, these are eco-friendly. Therefore, argument I is strong.

Argument II is a weak argument as sharing system will help in reducing the number of vehicles on road and also the e-scooters have leaner volume which means they can reduce the traffic congestion instead of increasing it.

Hence, only argument I is strong.

According to the question, D + Z $ P × N % O $ T , can be decoded as, Z is son of D, P is wife of Z, P is mother of N, N is sister of O, T is wife of O. 

Let’s check each option,

1) D is grandfather of N → False since gender of D is not defined.

2) Z is mother of N → False as Z is father of N.

3) O is granddaughter of D → False as O is grandson of D.

Hence, “none of the above” is the answer.

• Apical Meristem increases the length of the roots and stem as it produces auxin which is a plant hormone.
• It can be found at the tips of the shoot and root of a plant.

⇒ 0.001 × 11 – 0.1 ÷ 100 + 0.01 × 0.11 × 1.1 = ?

Follow these BODMAS rules to solve the question

Step-1: The part of the equation containing 'Brackets' must be solved first, and in the bracket,

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

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

Step-4: At last, the part of the equation that contains 'Addition' and 'Subtraction' should be solved.

⇒ 0.011 – 0.001 + 0.00121 = ?

⇒ 0.01 + 0.00121 = ?

∴ ? = 0.01121

According to the question,

1) Parmish wear Nike shoes and uses the LinkedIn app.

2) Anil who wear Adidas shoes but neither uses Facebook nor Twitter.

3) Bhagat uses the Facebook app.

4) Ishan neither wears Vans nor Puma shoes but he uses the Twitter app.

Thus he must be wearing Reebok shoes.

5) The person who uses Whats-App doesn’t wear Adidas shoes.

Thus Anil must be using Instagram.

6) The person who wears Puma shoes does not use Facebook.

Hence, Deepak wears Puma shoes and Bhagat wears Vans shoes.

Thus Deepak wears Puma shoes and Anil uses Instagram 

Let the total number of bulbs be 2x, 7x and 11x.

Then,

Total price of Big bulbs = 150 × 2x = 300x

Total price of Medium bulbs = 80 × 7x = 560x

Total price of Small bulbs = 50 × 11x = 550x

Average cost of bulbs = (300x + 560x + 550x)/20x = 1410/20 = 70.5

200 men can complete the quarter of work in 50 days

If they continue the work, time is taken to complete the remaining work = 3 × 50 = 150 days

[∵ ¾ th of the work is remaining]

But they have to complete in 100 days to finish in time

Time ∝ 1/Number of employees

Let the number of extra employees required to complete the work in time be x

∴ 150/100 = (200 + x)/200

300 = 200 + x

∴ x = 100

Ax² + Bx + C = 0

Let one root be P and then the other root will be 2.5P

⇒ P + 2.5P = -B/A (Sum of Roots)

⇒ 3.5P = -B/A       ---- (1)

⇒ P × 2.5P = C/A (Product of Roots)

⇒ 2.5 P² = C/A      ---- (2)

From equation 1 and 2

⇒ 2.5 × B²/ (3.5 × 3.5 × A²) = C/A

⇒ B² = 4.9AC

∴ 10B² = 49AC

Let initial length of the LED strap = (5 + 4 + 3) = 12 unit

So, initial price of the LED strap = 12² = 144

Price, after cutting the LED strap = 5² + 4² + 3² = 25 + 16 + 9 = 50

⇒ (144 - 50) unit = 1880

⇒ 94 unit = 1880

⇒ 1 unit = 20

So, initial price of the LED strap = 144 × 20 = Rs 2,880

As ​the plant is developed from seeds,

Similarly,

Flower also develops from a bud.

Hence, option 3 is the correct answer.

Given series refers to the classical dance forms of India.

Sattriya is also a classical dance form of Assam.

Thus Sattriya, is the next term in the series.

Let his initial monthly salary be Rs. ‘x’

New monthly salary = (100 + 20)% of x = 1.2x

Initial monthly donation = 2% of x = 0.02x

New monthly donation = 2% of 1.2x = 0.024x

Now, increase in monthly donation = Rs. 500

⇒ 0.024x – 0.02x = 500

⇒ x = 500/0.004 = 125000

∴ His new monthly salary = 1.2x = 1.2 × 125000 = Rs. 150000

• The government of Madhya Pradesh launched the 'Yuva Swabhiman Yojana' on 26 January 2019.
• It aims to provide employment to the youth belonging to the weaker section of the society mainly in urban areas of the state.
• Under this scheme, 100 days of employment will be provided to youngsters from economically weaker sections of the society in urban areas.

• Statement 3 is not correct.
• The Lichens are famous as they do not need a regular supply of water.
• Their metabolism can go into suspension and later revive.
• They can occur anywhere on land and under water.

• Battle of Plassey was fought between Nawab of Bengal and Robert Clive.
• The battle took place on 23 June 1757.
• At that time the Nawab of Bengal was Siraj ud daulah.
• Robert clive bribed Mir Jafar, who was the chief of the Nawab's army.

Xylem tissues are responsible for transportation of water in plants.

• Phloem tissues are responsible for transportation of food in plants.

Hence, option 1 is correct.

 Inderkilla National Park  is in Himachal Pradesh. Following national parks of Himachal Pradesh are

Trick : Simba ne Great Himalaya ke Valley me Inder ke Saath Khir Khai

CI of the 2^nd year = Rs. 250

⇒ CI of the 3^rd year will be = [CI of 2^nd year] + [12% interest on CI of 2^nd year].

∴ CI of 3^rd year = 250 + 250 × 0.12 = Rs. 280

Given that,

12x – 7y = 5x + 3y

⇒ 7x = 10y

⇒ x/y = 10/7

Squaring both the side, we get

x²/y² = 100/49

By the rule of componendo and dividendo

The seven figures are arranged in a particular order to form image at option 3.

Here in each square the outer figure are rotating in an anti-clockwise direction, whereas in the inner part of the figure is rotates 90 degrees in the clockwise direction.

Hence, the above image will be the next image of the given series.

The world refugee day is celebrated on 20^th June every year. It is celebrated to commemorate the strength, courage, and perseverance of millions of refugees. The day was established by the General Assembly of United Nations for the refugees to honour them for their courage of facing lots of problems after losing homes due to conflict or violence and their contributions to their communities.

⇒ 4¹² × 16³⁵ × 64¹⁵

⇒ 4¹² × (4²)³⁵ × (4³)¹⁵

⇒ 4¹² × 4⁷⁰ × 4⁴⁵

⇒ 4^{12 + 70 + 45}

⇒ 4¹²⁷

Let OR = 10√3 m.

The angles of depression of the points are complementary and PQ = 20 m.

⇒ ∠OQR + ∠OPR = 90°

Let ∠OQR = x and ∠OPR = y

⇒ x + y = 90°

And let RQ = l m.

⇒ tan x = 10√3/l          …….. eq(1)

⇒ tan y = 10√3/(l + 20)

⇒ tan (90 – x) = 10√3/(l + 20)

⇒ cot x = 10√3/(l + 20)

We know that tan θ . cot θ = 1.

⇒ 100 × 3 = l (l + 20)

⇒ 10 (10 + 20) = l (l + 20)

⇒ l = 10 m.

∴ The distance of P from the building = 10 + 20 = 30 m.

The path followed by Prashant is as follows,

When Prashant drives for about 30 minutes with speed of 40kmph, that means he drives 20 km.

If he goes directly to office from his home, we will consider triangle ADE,

By applying triangle inequality property,

1) Difference of two sides < x < sum of two sides.

From the above inequality,

25 - 20 < x < 20 + 25

5 < x < 45

Hence the distance between his office and his home should be in range from 5 to 45.

From the above options, “50” cannot be the distance between his office and his home.

Hence, “50” is the correct answer.

The path followed by Prashant is as follows,

When Prashant drives for about 30 minutes with speed of 40kmph, which means he drives 20 km.

Total distance travelled by Prashant = 30 + 20 + 40 + 20 + 25 = 135km

Speed = 40kmph

Time = Total distance/ speed

= 135/40

= 27/8 hr.

Gobar gas or biogas typically refers to a mixture of different gases produced by the breakdown of organic matter in the absence of oxygen. It is primarily methane (CH₄) and carbon dioxide (CO₂) and may have small amounts of hydrogen sulfide (H₂S), moisture and siloxanes.

Let the length of the train be x m and the speed be y m/s.

While crossing a man, train covers a distance equal to its own length.

∴ x/y = 5

⇒ x = 5y

While crossing a platform, train covers a distance equal too sum of its own length and length of platform.

∴ length of train and platform together = (x + 154) m

⇒ x + 154 = 12y

⇒ 5y + 154 = 12y    (Putting the value x = 5y)

⇒ y = 154/7 = 22

∴ Length of the train = 5 × 22 = 110 m

Speed of the train = 22 m/s

Aluminum salt commonly used to stop bleeding is Potash Alum. It is also known as aluminum potassium Sulphate. It is commonly used in purification of drinking water. It is naturally transpiring mineral salt.

1) 1243 → 1 + 2 + 4 + 3 = 10

2) 1621 → 1 + 6 + 2 + 1 = 10

3) 2061 → 2 + 0 + 6 + 1 = 9

4) 1171 → 1 + 1 + 7 + 1 = 10

Thus 2061 is the odd number.

• Milarite is an ore of Nickel. Haemetite, Siderite, Magnetite and Limonite are ores of Iron.
• Ore is a naturally occurring rock or mineral from which metals can be extracted. 

A halophyte is a plant that grows in salty water coming into contact with saline water through its roots or by salt spray, such as in saline semi-deserts, mangrove swamps, marshes and sloughs and seashores.

• ‘India: The Future Is Now’ is a book written by Shashi Tharoor.
• It is regarding an inspiring vision of India by the young parliamentarians of the country. 

Lysosomes are formed by the fusion of Golgi network with endosomes, which contain molecules taken up by endocytosis at the plasma membrane. Lysosomes are tiny sack filled with fluid containing digestive enzymes that acts as a biological catalyst. The main function of lysosomes is to remove waste as well as destroying a cell after it has died. They are also known as garbage disposal of cells.

According to Bronsted and Lowry theory, a base is a proton acceptor.

• Manfred Eigen, who was awarded a one-half share of the 1967 chemistry Nobel prize died.
• He developed techniques to determine the rates of reactions and processes and also pioneered a process called relaxation.
• He founded the Max Planck Institute for Biophysical Chemistry by merging the Max Planck Institute for Physical Chemistry in 1971.

Let first tap alone can fill the tank in x h and second in y h

⇒ 1/x + 1/y = 8/51

Let the diameter of first pipe is greater

⇒ x = y - 8

⇒ 1/(y - 8) + 1/y = 8/51

⇒ (2y - 8) / [y(y - 8)] = 8/51

⇒ 51(2y - 8) = 8y(y – 8)

⇒ 102y - 408 = 8y² - 64 y

⇒ 8y² - 166y + 408 = 0

⇒ 4y² - 83y + 204 = 0

Solving this equation, we get

⇒ y = 17.9, 2.8

⇒ x = 9.9, -5.2

But x can’t be negative

∴ x = 9.9 and y = 17.9

A rolling ball stops because the surface on which it rolls resists its motion. It happens because of friction, when the ball rolls across the floor, the floor opposes the motion of the ball which takes away from the momentum of the ball.

Checking the options by putting A = 30°;

∴ Here it is evident that option 1 is correct.

• Spleen is termed as “graveyard of RBC” because it removes the old RBCs (Red Blood Cells).
• It is an active haemopoietic organ and in adults act as “blood bank”.
• Heart is the central pumping organ which sends blood to different body parts and then receives it.
• The interstitial fluid when gets collected in the lymphatic system is termed as lymph.
• Liver is the second largest organ in the human body and its main function is to detoxify chemicals and metabolize drugs.

• For total internal reflection to take place, the light should travel from denser to rarer medium. 
• Since glass is denser than water, the total internal reflection will not take place if the light goes from water to glass. 
• In the case of total internal reflection, the angle of incidence must also exceed the critical angle. 
• Sparkling of diamond, mirage etc. are examples of total internal reflection.

Let’s check each option,

1) T < P > M = W > Q → here P > Q hold true.

2) T ≤ P ≥ M > W ≤ Q → here no relation can be determined between P and Q.

3) T ≥ P ≥ M = W = Q → here P > Q is possible.

4) T = P ≤ M < W ≤ Q → here P > Q hold false

Hence, “=, ≤, <, ≤” is the correct answer.

• A natural monopoly is a monopoly that exists because of the cost of producing the product i.e. a good or a service is lower due to economies of scale.
• A natural monopoly occurs whenever an industry is high, and its market shared among two or more rival plants owning duplicate distribution networks.
• A natural monopoly can also appear in smaller local markets for products that are difficult to transport.

James Clerk Maxwell was a Scottish scientist in the field of mathematical physics. His most notable achievement was to formulate the classical theory of electromagnetic radiation, bringing together for the first time electricity, magnetism, and light as manifestations of the same phenomenon.

• Soda bottles are made of thick glass so that they can withstand the pressure in summer.
• Soda bottles are generally made of 'Polyethylene Terephthalate', commonly known as PET plastic, or glass using the blow moulding process.
• Usually, the plastic bottles used to hold potable water, soda and other drinks are made from PET material because that is both strong and light, so that they can withstand pressure in summer.
• *To be able to withstand internal gas pressure, the bottle is made from thick, heavy glass

SI units: 

• Conductivity is the reciprocal of resistivity.
• The resistance offered by a wire of unit length and unit area of cross-section is called resistivity or specific resistance (r).​​
• Resistance is the ratio of applied potential difference (V) to the current (I) flowing through the conductor.
• Conductance is the reciprocal of resistance.

Conclusion 1 says: People like to use surf which cleans clothes. This does not follow as there is no such information provided in the statement.

Conclusion 2 says: People easily get attracted to an advertisement. This does not follow as nowhere is it written that this advertisement might have the same effect of being popular.

Hence, none follows.

• Article 51-A of the Indian Constitution deals with Fundamental Duties.
• Articles 12-35 of the Indian Constitution deals with Fundamental Rights.
• Articles 5-11 of the Indian Constitution deals with Citizenship.
• Articles 343-351 of the Indian Constitution deals with Official language.

Let the number be x.

When the number is multiplied by 6/7, then we get = 6x/7

And when this number is multiplied by 5/8, then we get = 5x/8

Required Percentage = 

Let the amount of U.P sugar in a mixture of 1 kg be x kg

⇒ Amount of Gujarat sugar in 1 kg mixture = (1 – x) kg

⇒ Total cost price of 1 kg mixture = 25x + 30(1 – x) = 30 – 5x

Now, for 20% profit

⇒ S.P = (120/100) × C.P

⇒ 34 = 120C.P/100

But, C.P = 30 – 5x

⇒ 34 = 120(30 – 5x)/100

⇒ 17 = 3(6 – x)

⇒ 17 = 18 – 3x

⇒ 3x = 1

⇒ x = 1/3

⇒ 1 – x = 1 – 1/3 = 2/3

∴ So the desired ratio is x : (1 – x) = 1 : 2

• Tertiary sector also known as service sector is one among the three type of economic sectors in a developed economy, the other two being Primary (extraction of raw materials) and secondary (manufacturing) sectors.

• Tertiary sector is concerned with the provision of services to other businesses and to final consumers too. Apart from electricity, other three options i.e. Business services, transport and trade come under tertiary sector.

• Electricity doesn’t fall into the category of tertiary sector because it is a joint collaboration between government with the states as they both share the funding part by creating overall economic growth.