RRB JE CBT 1 - Full Test 4

Let the no. of cubes of side a that can be made by melting the given cuboid = n

Total volume of these cubes = na³

Total volume of all the smaller cubes is equal to the volume of the original cube

As a = 2

⇒ 8 cm × 4 cm × 27 cm = 2³ × n

⇒ n = 108

An amalgam is an alloy of mercury with another metal. Almost all metals can form amalgams with mercury, the notable exceptions being iron, platinum, tungsten, and tantalum. Silver - mercury amalgams are important in dentistry, and gold - mercury amalgam is used in the extraction of gold from ore. 

Malaria is an infectious disease caused by parasitic protozoans and is spread by vectors such as the female Anopheles mosquito. Malaria causes symptoms that typically include fever, tiredness, vomiting, and headaches.

The objective of the Basel Convention on the Control of Transboundary Movements of Hazardous Wastes and their Disposal. Also to protect human health and the environment against the adverse effects of hazardous wastes.

sin² 15° + sin² 20° + sin² 25° + ..... sin² 75°

= [cos (90° - 15°)]² + [cos (90° - 20°)]² + ..... [cos (90° - 75°)]² [cos (90 - θ) = sinθ]

= cos² 75° + cos² 70° + cos² 65° + ...... cos² 15°

= cos² 15° + cos² 20° + cos² 25° + ..... cos² 75°

Ratio of efficiency of A, B and C = 15 ∶ 10 ∶ 6

Ratio of time of A, B and C = 1/15 ∶ 1/10 ∶ 1/6 = 2 ∶ 3 ∶ 5

Let A alone can complete the work in = 2x days

B alone can complete the work in = 3x days

And C alone can complete the work in = 5x days

According to the question,

1/2x + 1/3x + 1/5x = 1/25

⇒ 31/30x = 1/25

⇒ x = 155/6

So, C alone can complete the work in = 5x = 5 × 155/6 = 775/6 days

Short trick:

Total work = (15 + 10 + 6) × 25 = 31 × 25 = 775

∴ C will complete the work = 775/6

Pench National Park is located in Madhya Pradesh

The correct answer is option 2, Neither I nor II follows, as both statements I and II are courses of actions and not conclusions. 

Quinine is an alkaloid found in the stem bark of the cinchona tree. It has been used to treat malaria since the early 1600s. It also is used as a medication for babesiosis.

As we know, the compound ratio for the ratios (a : d), (b : e), (c : f) is (abc : def)

Hence, for the given ratios, compound ratio is obtained as,

⇒ [3x/(4x + 3)] × [(5x - 2)/2x] = 14/9

⇒ 3 × 9 × (5x - 2) = 2 × 14 × (4x + 3)

⇒ 135x - 54 = 112x + 84

⇒ 135x - 112x = 54 + 84

⇒ 23x = 138

⇒ x = 138/23

∴ x = 6

German silver or simply nickel silver is metallic alloy used for mainly production of musical instruments. German silver made up of 60% copper, 20% zinc and 20% nickel.

The given number is 22⁴⁷¹

The unit digit of 2.

⇒ 2¹ = 2

⇒ 2² = 4

⇒ 2³ = 8

⇒ 2⁴ = 6

⇒ 2⁵ = 2

Here, the digit is repeating after every 4^th power.

Now,

⇒ 22⁴⁷¹ = 22⁴⁶⁸ × 22³ = (22⁴)¹¹⁷ × 22³

The unit digit of expression (22⁴)¹¹⁷ × 22³

⇒ (22⁴)¹¹⁷ × 22³ = 6 × 2 × 2 × 2 = 8

Hence, the unit digit of 22⁴⁷¹ = 8.

As, the length of two tangents drawn from an external point to a circle are equal

⇒ AD = AF

⇒ BD = BE

⇒ FC = CE

∴ All options are correct

• Though the Indian Constitution is federal and envisages dual polity, it provides for only single citizenship unlike U.S.A that has dual citizenship.
• This feature has been adopted from the British Constitution. 

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.

Clearly, Sarthak finally walking in the direction towards - North.

• The shape of the Atlantic Ocean is of an S’ shaped basin.
• It extends between Europe and Africa to the east and the Americas to the west.
• The Atlantic Ocean is the second largest ocean in the World after the Pacific Ocean.

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

• Marble cancer refers to the corrosion of structure made up of marble by the action of sulphuric or nitric acid.
• In the last decade, there was huge industrial growth nearby Taj Mahal, and the huge amount of sulfur and nitric gases are released in the atmosphere by industries.
• These gases mixed with rain cause acid rain. And The Taj Mahal is losing its white shine because of marble cancer.

Gunmetal, also known as red brass, is a type of bronze an alloy of copper, tin, and zinc. Proportions vary by source, but 88% copper, 8-10% tin, and 2–4% zinc is an approximation. 

• It was used mainly for making guns and bullets. Now it is superseded by Steel.
• Gunmetal is used extensively for making heavy machinery parts as it can withstand high pressure and is corrosion resistant.

Rusting of Iron takes place due to redox reaction.

• Rust is an iron oxide, a usually red oxide formed by the redox reaction of iron and oxygen in the presence of water or air moisture.
• Fe + O₂  → Fe₂O₃ (Iron (III)oxide)

Hence, 4 is the correct answer.

Hence, the answer is figure given in option 1.

The pattern followed here is,

16 × 5 = 80,

80 - 16 = 64,

64 × 4 = 256,

256 - 64 = 192,

192 ​× 3 = 576,

576 - 192 = 384,

384 ​× 2 = 768

Hence, 192, 768 are the missing number.

• The main function of ribosomes is the synthesis of vital proteins inside the cell.
• The ribosome molecules link amino acids, which are the building blocks of protein structures, in different combinations to form different proteins.
• The linking process is governed by messenger RNA molecules.

The given expression:

[2²+ 3² + 4² + 5² + 6² + 7² + 8² + 9² + 10² + 11²]

= [1² +2²+ 3² + 4² + 5² + 6² + 7² + 8² + 9² + 10² + 11²] – 1

= The sum of squares of first 11 natural numbers – 1

[We know that, the sum of square(s) of 1^st n natural numbers =

Here n = 11]

= The sum of squares of first 11 natural numbers – 1

= 506 – 1

= 505

• Das Kapital, also known as Capital. Critique of Political Economy by Karl Marx is a foundational theoretical text in materialist philosophy, economics and politics. 
• Marx aimed to reveal the economic patterns underpinning the capitalist mode of production, in contrast to classical political economists such as Adam Smith, Jean-Baptiste Say, David Ricardo and John Stuart Mill.

• Escape velocity is the minimum velocity an object must have in order to escape the gravitational field of the earth.
• The formula for escape velocity is  

where

G = Universal gravitational constant

M = Mass of the planet or moon (kg)

R = Radius of the planet or moon (m)

The formula for annual compound interest is:

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate

n = the number of times that interest is compounded per year

t = the number of years the money is invested or borrowed for.

n = 1 [As the amount is compounded annually]

t = 3 years

r = 10% compounded annually

A = P + Compound Interest (CI)

Now from the formula,

⇒ CI = 1.331P – P = 0.331P

Now the formula for simple interest:

Interest = Principal × Rate percent × Time ÷ 100

Here, principal = Rs. P

Rate percent = 10

Time = 3 years

Putting the values in the formula, we get

Simple interest for 3 years:

 = Rs. P × 10 × 3 ÷ 100

= Rs. 0.3P

According to the question, the difference between the compound interest and the simple interest for 3 year at 10% is Rs. 31.

⇒ 0.331P – 0.3P = 31

⇒ 0.031P = 31

⇒ P = Rs. 1000

Argon gas is used in electric bulbs to stop the oxygen in the light bulbs from corroding the hot tungsten filament which in result increase the life of a bulb.

Consider the following least possible Venn diagram,

Conclusions:
I. At least some tees are trousers → it’s possible but not definite, hence false.
II. All clothing being tees is a possibility → possibility is true as shown below.

III. All shirts are tees → it’s possible but not definite, hence false.
IV. Some clothing are definitely shirts → it’s possible but not definite, hence false.

Hence only conclusion II follows.

• Resistors are connected both in “series” and “parallel”
• When resistors are connected in series, then the net resistance is equal to the sum of all the resistors connected in series due to that  the net resistance increases

Let investment by A be Rs. N

Then investment by B will be N + 50000 and investment by C will be N + 25000,

 Since total investment is Rs. 3 lakhs,

⇒ N + N + 50000 + N + 25000 = 300000

⇒ 3N = 225000

⇒ N = 75000

⇒ Investment by A = 75000

⇒ Investment by B = 125000

⇒ Investment by C = 100000

⇒ Ratio of Investment = 3 : 5 : 4

⇒ Ratio of profit = 3 : 5 : 4

Since Total profit = 14400

∴ Profit received by C = 4/12 × 14400 = 4800

• The mirror used in automobiles to see the rear field of view is a convex mirror. It is a mirror whose reflecting surface emerges from outside.
• The mirror whose reflecting surface emerges inwardly is called a concave mirror.
• A plane mirror has a flat reflective surface.

The codes have been assigned as follows,


Similarly,

Hence, the code for ‘CHEMICAL’ is ‘$#453$08’.

Sum of the age of all members = 23 × 4 = 92

Age of the youngest member = 5

Sum of the ages of all members at the time of birth of youngest member = 92 - (5 × 4) = 72

Average age at the time of birth of youngest member = 72/3 = 24

• The process of digestion in humans starts from the mouth.
• The saliva secreted by the salivary glands contains enzyme ptyalin, which acts upon some polysaccharides and breakdown into disaccharide like maltose.
• The food then transfers from the esophagus to the stomach where it gets digested.
• The small intestine absorbs all the nutrients from what we eat and drink.
• The large intestine absorbs water from the wastes and creates stool.

Option 1 is not an inference because the passage simply states the difference between the purchasing power of rural and urban households. It is not discussing the number of people.

Option 2 is an inference because the passage clearly states that the higher purchasing power of rural households can be attributed to the fact that urban and suburban households have higher food and housing costs. Conversely, rural households have lower food and housing costs.

Option 3 would be a wrong inference because the difference has been cited between rural households on one hand and urban and suburban households on the other.

Option 4 cannot be inferred because no information about the median income of the households has been provided.

Thus, Xf48 will complete the series.

• Bone in most big animals is an example of Connective tissues.
• Connective tissue (CT) is one of the four basic types of animal tissue along with epithelial tissue, muscle tissue, and nervous tissue.
• Connective tissue is found in between other tissues everywhere in the body, including the nervous system.

Here, the first word is the profession and second is the name of the person who is involved in this profession.

1. Doctor : Physician → Physician is a person whose profession is Doctor.

2. Journalism : Journalist → Journalist is a person whose profession is Journalism.

3. Engineering : Coder → Coder is a person whose profession is Engineering.

4. Architecture : Building → Architecture is a profession and Architect is a person who plans, design and reviews the construction of buildings.

Hence, Architecture : Building is the odd one.

Formula to be used

(a – b)² = a² + b² – 2ab

Given expression is

= 999 × 999 + 995

= (1000 – 1) (1000 – 1) + 995

= (1000 – 1)² + 995

= 1000000 + 1 – 2 × 1000 × 1 + 995

= 998996.

Figure A → This box can only be folded in this way if we use the following configuration. But A is possible.
 

Figure B → If you consider the dotted side to be at the top, then the non-adjacent blank side will be at the bottom. And the two adjacent blank sides will form sides adjacent to the dotted side, but opposite to each other. As there are no other blank sides left, thus, figure B is not possible.

Figure C → Possible with the following configuration.

Figure D → From the figure above, we can clearly see that the two shaded sides can never be adjacent. This figure is thus not possible.

the sum of 100 numbers = 30 × 100 = 3000

As 23 and 11 was added as 32 and 12

Therefore, actual sum = 3000 – 32 – 12 + 23 + 11 = 2990

correct mean = 2990/100 = 29.90

Let the income before increment = Rs. x so increased income = Rs. (x + 500000) lakhs

According to given condition;

0.1(x + 500000) – 0.12x = 10000

⇒ 0.02x = 40000

⇒ x = 2000000 = Rs. 20 lakhs

∴ Increased income = 20 + 5 = 25 lakhs

The statement clearly states that the Industrial revolution has brought the modern age. That means it has brought changes in society but we cannot conclude from the given statement that revolution revamps the sodality. Hence, conclusion II doesn't follow. Also, it is not given that inequality between rich and poor resulted in revolution thus conclusion I doesn’t follow.

Thus option 3 is correct.

Note: a confraternity or association, especially a Roman Catholic religious guild or brotherhood.

Let the share of Sunil, Anil and jamil be x, y and z respectively.

Hence, x + y + z = 15525

22, 35 and 48 are diminished from the shares of x, y and z respectively

∴ Their share now is (x – 22),(y – 35) and (z – 48)

Total share = x + y + z – 22 – 35 – 48 = 15525 – 105 = 15420

It is given that from this total diminished share ratio of shares of Sunil, anil and Jamil is 7 ∶ 10 ∶ 13.

∴ Share of Sunil = 7/(7 + 10 + 13) × 15420 = 3598

∴ Share of Anil = 5140

And share of Jamil = 6682

∴ The original share for

Sunil is∶ x = 3598 + 22 = 3620

Anil is∶ y = 5140 + 35 = 5175

Jamil is∶ z = 6682 + 48 = 6730

Now 16, 77 and 37 is added respectively to x, y and z

Hence the new ratio = (3620 + 16) ∶ (5175 + 77) ∶ (6730 + 37) = 3636 ∶ 5252 ∶ 6767

∴ New ratio = 3636/101 ∶ 5252/101 ∶ 6767/101 = 36 ∶ 52 ∶ 67

• Hydraulic press works on the principle of Pascal’s law. In fluid mechanics, Pascal's Law states that the pressure has infinite direction at a point, and thus the change in pressure at any point in any confined incompressible fluid is transmitted throughout it in such a way that the same change happens everywhere. 
• The Hydraulic jack is used in packing press, metal press work, pushing and drawing rods, and more.

The question figure is hidden/embedded in this figure:

Therefore, image of option (3) is correct answer. 

• The  Plant hormone Auxin causes the plant to bend towards the sunlight.
• It is a growth stimulant in plants.
• Auxin is broken down on the sunnier side of the plant.
• This causes the cells on the shadier side to grow more which in turn causes the bending of the plant towards sunlight.

• The pituitary gland is a gland which is located at the base of the brain, right behind the bridge of the nose.
• It is a small, hormone-producing gland(endocrine) whose secretions are essential for everyday living.
• It is also known as the master gland as its secretions stimulate other glands.

There is only one R in NOMENCLATURE but Creature requires two R's.

Thus, 'Creature' cannot be formed.

• Hazardous waste is the waste that has serious threats to public health and environmental health.
• The most serious environmental effect posed by the hazardous waste is contamination of groundwater.
• Poisonous chemicals are often diluted with water and then washed into the soil and cause groundwater contamination which may result in serious health effects.

First eight even natural numbers are 2, 4, 6, 8, 10, 12, 14, 16

First seven multiples of five are 5, 10, 15, 20, 25, 30, 35

Thus, 2 × 4 × 6 × 8 × 10 × 12 × 14 × 16 × 5 × 10 × 15 × 20 × 25 × 30 × 35

= 2¹⁹ × 3³ × 5⁹ × 7²

We will get a zero when 2 × 5 is a factor,

Number of 2 × 5 factors = 9

Number of zeroes = 9 

In ΔABC

Let the savings in the banks A and B be x and y respectively

∴ According to the given conditions,

⇒ (x × 0.5 × r1) = (y × 0.5 × r2)

∴xy=r2r1=45∴xy=r2r1=45

∴ The person should invest amounts in the ratio of 4 ∶ 5 in the banks A and B respectively

• A nuclear reactor produces and controls the release of energy from splitting the atoms of certain elements. In a nuclear power reactor, the energy released is used as heat to make steam to generate electricity. Hence, controller is the correct answer.

• FUEL: Uranium is the basic fuel. Usually pellets of uranium oxide (UO₂₎ are arranged in tubes to form fuel rods. The rods are arranged into fuel assemblies in the reactor core.
• Moderator: Material in the core which slows down the neutrons released from fission so that they cause more fission. It is usually water, but may be heavy water or graphite.
• Controller: These are made with neutron-absorbing material such as cadmium, hafnium or boron, and are inserted or withdrawn from the core to control the rate of reaction, or to halt it.
• Lubricant: lubricant have shown that it is possible to produce materials capable of lubricating some reactor components. In order to further the development of such lubricants the U.K.A.E.A. and the nuclear manufacturing groups have co-operated in providing lubricant manufacturers.

Here the logic is as follows,

18 : 108 → 18 ÷ 3 = 6, 18 × 6 = 108

Same logic is followed in,

15 : 75 → 15 ÷ 3 = 5, 15 × 5 = 75

21 : 147 → 21 ÷ 3 = 7, 21 × 7 = 147

9 : 27 → 9 ÷ 3 = 3, 9 × 3 = 27

7 : 45 → 7 is not divisible by 3

Thus pair 7 : 45 is not same as the given pair.

Sum of surrounding number = product of digits of central number

5 + 6 + 7 + 9 = 9 × 3 = 27

8 + 9 + 7 + 6 = 6 × 5 = 30

Similarly,

x + 3 + 6 + 5 = 6 × 3 = 18

⇒ × + 14 = 18

⇒ × = 4

Hence, missing number is 4.

As ‘Genial’ and ‘Cordial’ are synonyms which mean friendly.

Similarly, ‘Acquiesce’ means 'Accept'.

Hence, the answer is ‘Accept’.

Given that,

Total number of students = 35,

Total number of teachers = 6.

Number of chocolates got by each student = 35 × (20/100) = 7

Number of chocolates got by each teacher = 35 × (40/100) = 14

Total number of chocolates got by all the students = 35 × 7 = 245

Total number of chocolates got by all the teachers = 6 × 14 = 84

∴ Total number of chocolates there = 245 + 84 = 329

(a + b)² = a² + b² + 2ab

⇒ (8)² = 32 + 2ab

⇒ 2ab = 64 – 32 = 32

⇒ ab = 16

∴ a³ + b³ = (a + b) (a² + b² – ab) = (8) × (32 – 16) = 8 × 16 = 128

Guatemala has said it is withdrawing from a UN-backed anti-corruption commission. President Jimmy Morales accused the International Commission Against Impunity in Guatemala, commonly known as CICIG, of polarising the country and putting its security at risk.

• Vitamin D3 (cholecalciferol) is synthesized in the human skin from 7-dehydrocholesterol upon exposure to ultraviolet-B (UVB) radiation from sunlight,
• Thus large amounts of the vitamin can be produced when the body is exposed to sunlight for long time.

The minimum no. of guavas required is the LCM of 10, 13 and 52.

10 = 2 × 5

13 = 1 × 13

52 = 2 × 2 × 13

LCM of 10, 13 and 52 = 2 × 13 × 2 × 5 = 260

 When x3 + 5x2 – kx + 6  is divided by (x - 2) remainder is 0 

⇒ x = 2 is root of the equation 

Put x = 2 

2³ + 5.2² - 2k + 6 = 0

k = 17

• Kerala has maximum 4 international Airports. Kannur International Airport, Cochin International Airport, Kozhikode International Airport and Trivandrum International Airport

x² + 4y² + z² - 4x - 2z + 5 = 0

⇒ (x² - 2 × x × 2 + 2²) + (z² - 2 × z × 1 + 1²) + (2y)² = 0

⇒ (x - 2)² + (z - 1)² + (2y)² = 0

Now,

⇒ (x - 2) = 0, then x = 2

⇒ (z - 1)² = 0, then z = 1

⇒ 2y = 0, then y = 0

The least possible Venn diagram for the given statements is as follows,

Conclusions:

I. Some banks are schools → It’s true.

II. Some police stations are banks → It’s true.

III. Hospitals which are schools are also banks → It’s true.

IV. Schools which are banks are also hospitals → It’s possible but not definite, hence false.

Thus only conclusion I, II and III follow.

In VERSIL, ERWAT and MSICU, there are 2 vowels each but in NUREAT there are three vowels.

Thus 'NUREAT' are the odd letters.

• The Poona Pact refers to an agreement between Dr. Bhimrao Ambedkar and Mahatma Gandhi signed on September 24, 1932.
• This Pact ended the fast that Gandhi had undertaken in the jail to protest against British Prime Minister Ramsay Macdonald’s award of a separate electorate to the Depressed Classes.

Given expression: 38 ÷ 24 - 4 + 20 × 15

After changing the symbols:

38 + 24 × 4 ÷ 20 – 15

= 38 + 24 × 0.2 – 15

= 38 + 4.8 – 15

= 27.8

Hence, 27.8 is the correct answer.

• The Supreme Court can issue writs under Articles 32 and 139 of the Constitution.
• The types of writs include Habeas Corpus, Mandamus, Prohibition, Certiorari and Quo warranto.

NOTE: Article 226 gives power to high courts to issue writs, not to the Supreme court 

The largest living or flying bird by wingspan is the Wandering Albatross (Diomedea Exulans family) of the sub-Antarctic oceans.

• The maximum dimensions in this species are a length of 1.44 m (4.7 ft) and a wingspan of 3.65 m (12.0 ft).

• It was the first species of albatross to be described and was long considered the same species as the Tristan albatross and the Antipodean albatross.

Total Number of people of south zone = 1450 + 1120 + 420 + 350 + 50

=3390

Number of people of south zone who take coffee at least once a day = Total number of people of the south zone - people who never take coffee

= 3390 - 50 = 3340

The percentage of people of south zone who take coffee at least once a day=

= 98.52%

The relative density of a substance is the Ratio of its density to the density of water.

• A substance with a relative density less than 1 will float in water. For example, an ice cube, with a relative density of about 0.91, will float. A substance with a relative density greater than 1 will sink.
• If a substance's relative density is less than one then it is less dense than the reference; if greater than 1 then it is denser than the reference(here water)
• If the relative density is exactly 1 then the densities are equal; that is, equal volumes of the two substances have the same mass.

• Acid rain results when sulfur dioxide (SO₂) and nitrogen oxides (NO₂) are emitted into the atmosphere
• Acid rain is a rain or any other form of precipitation that is unusually acidic, meaning that it has elevated levels of hydrogen ions. It can have harmful effects on plants, aquatic animals and infrastructure. 

• The 'Mohammed Rafi Award 2018' was given to late music composer Laxmikant Shantaram Kudalkar and playback singer Usha Timothy.
• Laxmikant was given the Mohammed Rafi Lifetime Achievement Award consisting of 1 lakh rupees and a trophy.
• Usha Timothy was honoured with the award and 51,000 rupees.
• The awards were instituted by the NGO Spandan Arts.

Let the price of the commodity be Rs. 100/kg.

The price of a commodity is increased by 40%.

So, the new piece the commodity = Rs. 140/kg

Let we could get x kg of the commodity initially for a certain amount of money and after increment of the price, we will get y kg of the commodity for the same amount of money.

So, we can write now,

x × 100 = y × 140

⇒ y/x = 5/7

So, we can see that for the same amount of money we will get 2 kg less after increment in price where previously we used to get 7 kg.

∴ The required consumption reduced so as to keep the same expenditure on its consumption

= 2/7.

∵ 9 oranges cost as much as 5 apples

⇒ 9O = 5A ... (i)

∵ 5 apples cost as much as 3 mangoes

⇒ 5A = 3M ... (ii)

∵ 4 mangoes cost as much as 9 plantains

⇒ 4M = 9P

⇒ 3M = (9/4) × 3 × P ... (iii)

Combining Equations (i), (ii), (iii)

⇒ 9O = 5A = 3M = (9/4) × 3 × P

⇒ 9O = (9/4) × 3 × P

⇒ O = (1/4) × 3 × P

For, 3 × P = Rs 2.40

⇒ O = 2.4 / 4 = Rs 0.6 = 60 paise

The logic here is as follows,

8 × 6 × 2 = 96,

3 × 8 × 5 = 120,

6 × 3 × 7 = 126

Thus the missing number are 3 and 126.

Udaipur is the city which is called the ‘City of Lakes’, ‘Venice of the East’ and ‘Kashmir of Rajasthan’. This is because of the many lakes are there in the city which add to the beauty of Udaipur.

Let pipe A can fill the tank in ‘x’ hours

A’s 1 hr. work = 1/x

B’s 1 hr. work = 1/12

When both are opened simultaneously, work done in 2 hours,

⇒ (1/x – 1/12) × 2 = 1/2

⇒ (1/x – 1/12) = 1/4

⇒ 1/x = 1/4 + 1/12

⇒ 1/x = 1/3

⇒ x = 3 hrs.

∴ Pipe A can fill the tank alone in 3 hours

• Samuel Colt was an American industrialist and businessman who is credited with the invention of the revolver.
• Edward Jenner was a British physician who is credited with the discovery of the smallpox vaccine.
• Alexander Fleming is a Scottish physician and microbiologist who is credited with the discovery of penicillin.
• Albert Einstein was a German-born physicist who is known for his theory of relativity.

Let train A with 40 km/hr speed starts from point P, moving towards point Q

And train B with 60 km/hr speed stars from point Q, moving towards point P.

Time taken by train A to reach at point R = 5 hr

And time taken by train B to reach at point R = 4 hr

Distance covered by train A to reach at point R = 5 × 40 = 200

And distance covered by train B to reach at point R = 4 × 60 = 240

Thus, PR = 200 km & QR = 240 km

∴ PR : QR = 200 : 240 = 5 : 6

The pattern for the code is as follows,

Similarly,

Hence, AMENABLE will be coded as BJXERZGW.

• Kangra School of Painting is pictorial art of Kangra in Himachal Pradesh.
• The focal theme of the paintings is the erotic sentiment.
• The contemporary life and society have been portrayed in such paintings. 

From the given information,

1) Amita is the mother of Bawa, who is the husband of Daksha.

2) Daksha is the daughter - in - law of Elex and has no siblings.

It implies Elex is the father of Bawa and husband of Amita.

3) Carol is the son of Daksha.

4) Fanny is the brother of one of the parents of Carol.

It implies Fanny is the brother of Bawa as Daksha has no siblings.

Hence, Amita is mother of Fanny.

From the given information,

1) Amita is the mother of Bawa, who is the husband of Daksha.

2) Daksha is the daughter - in - law of Elex and has no siblings.

It implies Elex is the father of Bawa and husband of Amita.

3) Carol is the son of Daksha.

4) Fanny is the brother of one of the parents of Carol.

It implies Fanny is the brother of Bawa as Daksha has no siblings.
Hence, Carol is grandson of Elex.

• Sewage treatment is the process of removing contaminants from wastewater, primarily from household sewage.
• Physical, chemical, and biological processes are used to remove contaminants and produce treated wastewater that is safer for the environment.

Total allotment = Rs. 15000 per month

From the pie-chart,

Budget for telephone bill = 16%

So, the estimated expenses for telephone bill = Rs. [15000 × (16/100)] = Rs. 2400

The office actually spent Rs.3450 on Telephone Bill.

∴ The difference in the amount budgeted and spent on Telephone Bill = Rs. (3450 – 2400) = Rs. 1050.

• The official language of Daman & Diu is Gujrati.
• Gujarati is the predominant language of Daman & Diu and is the most widely spoken.
• Capital : Daman.

An element's atomic number tells how many protons are in its atoms. An element's mass number tells how many protons and neutrons in its atoms. Atomic number represented by Z.

Mobiles: Nokia, Samsung, Apple and Blackberry

OS: Android, Windows, iOS and Bada

1) There are two mobiles between Apple and Blackberry.

2) The mobile in which iOS is installed is above Apple, but not immediate above.

3) The mobile in which Windows is installed is below Blackberry, but not in Apple mobile.

 

4) Android mobile is above the Bada mobile, but not above Windows mobile.

(here case 2.2 and case 1 will gets eliminated)

 

Above combination is final combination.

As we can see in above combination, Android is installed either in Nokia or Samsung. 

Mobiles: Nokia, Samsung, Apple and Blackberry

OS: Android, Windows, iOS and Bada

1) There are two mobiles between Apple and Blackberry.

2) The mobile in which iOS is installed is above Apple, but not immediate above.

3) The mobile in which Windows is installed is below Blackberry, but not in Apple mobile.

 

4) Android mobile is above the Bada mobile, but not above Windows mobile.

(here case 2.2 and case 1 will gets eliminated)

 

Above combination is final combination.

As we can see in above combination 2^nd mobile from bottom is either Nokia or Samsung but Android is installed in that.

Malic acid used to found in an Apple.

• Apples are a rich source of ascorbic and malic acid.

Discount% = (MP - SP)/MP × 100

SP = MP - (Discount%/100) × MP

Let the cost price be Rs. X

Marked price = X + (25/100) × X = 1.25X

Discount = 10%

SP = 1.25X - (10/100) × 1.25X = 1.125X

Profit% = (SP - CP)/CP × 100

Profit% = (1.125X - X)/X × 100 = 12.5%

• The Ministry of Rural Development has completed 1.37 crore Rural Homes since April 2014.
• The Pradhan Mantri Awaas Yojana-Gramin (PMAY-G) was launched on November 20, 2016.
• PMAY-G has focused on deprived households and the poorest of the poor who live in kutcha houses.
• So far 66.6 lakh homes have been completed under PMAY-G.
• The remaining 33.4 lakh homes will be completed by March 2019.