RRB JE CBT 1 - Full Test 6

Let weight of Shivam be ‘x’.

Weight of Tipu is twice of the weight of Shivam: 2x,

Weight of Roma is twice of the weight of Tipu: 4x,

Weight of Karan is one-fourth of the weight of Roma: ‘x’,

Weight of Alok is twice the weight of Karan: 2x

Hence, weight of Roma is greater than all other persons.

Hence, 4 is the correct answer.

Here in all the figure, O is vertically opposite to X and + is vertically opposite to -, except figure D

Hence, Fig: -D is the odd image among the given figure.

• Vijay Diwas is celebrated every year in India on 16 December.
• The day marks the Indian military's victory over Pakistan in 1971 during the war for the independence of Bangladesh from Pakistan.
• On this day, 93,000 members of Pakistani troops surrendered to the Indian Army and Mukti Bahini, calling an end to the Indo-Pak war of 1971.
• Kargil Vijay Diwas, named after the success of Operation Vijay.
• On this day, 26 July 1999, India successfully took command of the high outposts which had been lost to Pakistani intruders.

The final figure will be as shown above.

It is a case of indirect proportion

More men, Less days

Number of days = (60 × 72)/(40 × 120/100) = 90 days

The logic followed here is:

54 : 135 → (27 × 2 = 54; 27 × 5 = 135)

32 : ? → (16 × 2 = 32; 16 × 5 = 80)

Hence, the answer is ‘80’.

Let the sum be ‘x’ and the rate be ‘r’
∴ According to the 1^st given condition,

 

According to the 2^nd given condition,

⇒ 40 = (x × 2 × r)

∴ xr = 20

Substituting in equation (1) we get,

⇒ 41 = 20 × (2 + r)

∴ r = 0.05

∴ The required rate is 5%

Ernest Rutherford and Niels Bohr discovered the structure of an atom.

Given, the number of males per hundred females in a country was 120.

Let the number of females be 100a, thus the number of males will be 120a.

Given, at the next census, the total population increased by 5% and the female population increased by 10%.

Let the % increase in the population be ‘b%’

∴ b% of 120a + 10% of 100a = 5% of 220a

⇒ 1.2b + 10 = 11

⇒ b = 1/1.2 = 5/6% = 0.8333%

Conclusions:

I. All dancers are artist → False (As, No singer is dancer and All artist are singer)

II. Some artists are not actors → False (As, Some actors are not singer and All artist are singer → It can be true but it is not definite)

III. Some actors are dancers is a possibility → True (As, Some actors are not singer and No singer is dancer → It can be true)

Hence, only conclusion III follows.

We know that,

Average Speed = Total distance/Total time

⇒ Average speed = 

⇒ x = 5 km/hr

Let 1 woman’s 1 day’s work = x

⇒ 1 man’s 1 day’s work = x/2 and 1 child’s 1 day’s work = x/4

⇒ (3x/2 + 4x + 6x/4) = 1/7

⇒ 28x/4 = 1/7

⇒ x = (1/7 × 4/28) = 1/49

⇒ 1 woman can complete the work in 49 days.

∴ To complete the work in 7 days, number of women required = (49/7) = 7

Given Expression: 14 ? 8 ? 16 ? 4 = 16

Let us check each option;

1) +, ÷ and –

14 + 8 ÷ 16 – 4 = 16

14 + 0.5 – 4 = 10.5

Hence, it is false.

2) ×, + and –

14 × 8 + 16 – 4 = 16

112 + 16 – 4 = 124

Hence, it is false.

3) ÷, + and ×

14 ÷ 8 + 16 × 4 = 16

1.75 + 64 = 65.75

Hence, it is false.

4) +, ÷ and ×

14 + 8 ÷ 16 × 4 = 16

14 + 0.5 × 4

14 + 2 = 16

Clearly, it is true.

Hence, +, ÷ and × will come in place of question mark.

The arrangement of leaves on a stem is known as phyllotaxy. Leaves can be classified as either alternate, spiral, opposite, or whorled. 

The Initial ratio is 4 : 6 : 9

Let the common ratio be ‘x’

Therefore the respective number of students in the 3 classes will be 4x , 6x and 9x

After addition of 12 students to each class,

The numbers will be 4x + 12 , 6x + 12, 9x + 12

The ratio after that will be 7 : 9 : 12

∴ (4x + 12)/(6x + 12) = 7/9

∴ 9 × (4x + 12) = 7 × (6x + 12)

∴ 36x + 108 = 42x + 84

∴ 6x = 24

∴ x = 4

∴ The initial number of students in the 2^nd class = 24

• Hypothalamus is a section of the brain which is responsible for hormone production.
• The hormones produced by this area of the brain governs body temperature, thirst, hunger, sleep and mood.

Modified gunmetalt is typically composed of 86% copper, 9.5% tin, 2.5% lead, and 2% zinc. Brass is an alloy of copper and zinc, while bronze is an alloy consisting mainly of copper, combined most often with tin.

• Second schedule lists the emoluments for holders of constitutional offices such as salaries of President, Vice President, Ministers, Judges and Comptroller and Auditor-General of India etc. 
• Representation in the RS is defined in the Fourth Schedule whereas Languages are defined in the Eighth Schedule.
• The aspects of oath taking have been taken care of in the Third Schedule of the Constitution. 

Answer: Option 4 is correct.

Solution: Since the seats in every department are filled without any vacancy it is known that the interest of every student varies and they tend to study various subjects. Also, the statement states that the students are involved in their academics very well, this shows the interest they have towards the subjects. Hence conclusion I follows, and II can also be concluded as it explains the reason for seats getting filled. We can determine that students really get to know the importance of education as the reason behind their involvement in academics is mentioned in the statement. It should be the importance and interest in education that drives the students towards their involvement.

• ALU stands for arithmetic logic unit and it carries out both arithmetic as well as logical operations in a computer system.
• It is a circuit which is a part of the central processing unit (CPU) of the computer.

Using Componendo and dividendo in the given equation

 

Now squaring both sides

⇒ 5 + x = 20 - 4x

⇒ x = 3

∴ The value of x is 3

As we know average = sum of all the observation/total number of observation

Average of (A, B) – Average of (B, C) = 45

⇒ (A + B)/2 - (B + C)/2 = 45

⇒ A + B - B - C = 45 × 2

⇒ A - C = 90

∴ Difference between A and C = 90

• World Bank brokered the Indus Waters Treaty between India and Pakistan.
• According to this agreement, control over the water flowing in three “eastern” rivers of India the Beas, the Ravi and the Sutlej was given to India, while control over the water flowing in three “western” rivers of India the Indus, the Chenab and the Jhelum was given to Pakistan.

• Bone is a type of dense connective tissue.
• Bones support and protect the various organs of the body, and provides structure and support for the body.
• Connective Tissues are used to bind and connect different tissues and organs.
• Skin is an example of an Epithelial tissue, Neurons is an example of a Nervous tissue and Rectum is an example of Muscular tissue.

Let the distance between the school and his house be ‘x’ km

Time taken on first day = Distance/speed = x/5 hrs.

His speed on next day = 5 + 4 = 9 km/hr.

Time taken on next day = x/9 hrs.

Now,

∵ He reached 3 min. late on the first day and reached 3 min. early the next day, this means that the difference between the time taken on the 2 days = 3 + 3 = 6 min. = 6/60 = 1/10 hrs.

⇒ x/5 – x/9 = 1/10

⇒ (9x – 5x)/45 = 1/10

⇒ 4x/45 = 1/10

⇒ x = 45/4 × 1/10

⇒ x = 1.125 km

∴ Distance between the school and his house is 1.125 km

Number of odd days in 2000 = 1 (As 1^st April comes after February)

Number of odd days from 2000 till 2001 = 1 + 1 = 2

Number of odd days from 2000 till 2002 = 2 + 1 = 3

Number of odd days from 2000 till 2003 = 3 + 1 = 4

Number of odd days from 2000 till 2004 = 4 + 2 = 6

Number of odd days from 2000 till 2005 = 6 + 1 = 7 = 0 odd days

Hence, Ram’s birthday on 3^rd April 2006 will be on Monday.

The Second Plan was particularly in the development of the public sector and "rapid Industrialisation". The plan followed the Mahalanobis model, an economic development model developed by the Indian statistician Prasanta Chandra Mahalanobis in 1953.

⇒ Let the length of the train be x metres

⇒ Then, the train covers x metres in 2 seconds and (x + 70) m in 11/2 seconds

⇒ (x + 70)/x = 5.5/2

⇒ x = 40

⇒ Speed = 40/2 m/sec = (20 × 18/5) km/hr = 72 km/hr

Let the total passengers who use metro train be 100

So, number of passengers who use metro card = 100 × 49/100 = 49

now,   = 1/7

So, number of male passengers who use metro card are males= 49 × 1/7 = 7

So, number of passengers who use metro card are females= 49 - 7 = 42

So, percentage of passengers who use metro card are females = 42.

Total population of a city is 57000. Out of these 85% are literate.

∴ literate population = 57000 × 0.85 = 48450

⇒ Illiterate population = 57000 – 48450 = 8550

Out of the total literate population, men and women are in the ratio of 11 : 8 respectively.

∴ Literate women = 8/19 × 48450 = 20400

⇒ Illiterate women = 25650 – 20400 = 5250

⇒ literate men = 48450 – 20400 = 28050

Required number = 28050 + 5250 = 33300

In water image, only the top and bottom part of a given image are interchanged while left and right part remain the same.

Thus, we get the following water image:


Hence, the answer is figure 1.

Let, the marked price = Rs. x

According to problem,

⇒ x - x × 40/100 = 600 + 600 × 20/100

⇒ 0.6x = 720

⇒ x = 1200

∴ Marked price of the watch = Rs. 1200

Let, cost price of 5 article = Rs. x

Price at 10% loss = Rs. 18

According to problem,

⇒ x - x × 10/100 = 18

⇒ 0.9x = 18

⇒ x = 20

∴ Cost price of 5 article = Rs. 20

∴ Cost price of 3 article = Rs. 20 × 3/5 = Rs. 12

Selling price of 3 article = Rs. 15

∴ Profit percentage,

⇒15−1212×100%⇒15−1212×100% 

⇒ 25%

• When water is heated under pressure, it results in the formation of steam.
• Steam engines utilize the energy of the steam generated to perform mechanical functions by using it to pusha piston which leads to motion.

Given, four serials P, M, C and G were screened, one on each day, on four consecutive days.

From statement 1: The first serial was screened on 23^rd, Tuesday and was followed by serial G.

We cannot conclude day of serial C.

From statement 2: Serial P was not screened on 25^th and one serial was screened between serials P and M.

We can’t judge anything about C from it because nothing else is known as starting day or information about G or C or serial P and M are screened before 25^th or after it etc.

On combining 1 and 2:

From 1 and 2 clearly P and M fits only on 23^rd and 25^th date resp. and only 26^th date is left for C Hence serial C is screened on 26^th date on Friday.

Thus both the statements are required to answer the question.

• A Primary Pollutant is a pollutant that emerges directly from any source whereas a secondary pollutant is formed when the primary pollutants react in the atmosphere. 
• Ozone is an example of secondary pollutant since it is formed when nitrogen oxides and hydrocarbons combine in the presence of sunlight. 
• Carbon monoxide is a primary pollutant. 

• An output device is any device used to send data from a computer to another device or user
• Printer - A device that accepts text and graphics output from a computer and transfers the information to paper, usually to standard size sheets of paper
• RAM (Random-access memory) - is a form of computer data storage that stores data and machine code currently being used
• ROM (Read-only memory) is a type of non-volatile memory used in computers and other electronic devices.
• Joystick an input device consisting of a stick that pivots on a base and reports its angle or direction to the device it is controlling. 

The pattern followed here is,

R + 2 = T; T + 3 = W; W + 2 = Y;

G + 2 = I; I + 3 = L; L + 2 = N;

D + 2 = F; F + 3 = I; I + 2 = K;

L + 2 = N; N + 2 = P; P + 2 = R.

Hence, LNPR is the odd one out.

Buccal cavity:

• a portion of the oral cavity bounded by the lips, cheeks, and gums
• is a component of the “digestive system” as the intake of food for digestion takes place through this 

Given ratio of weekly income of A and B is 9 : 7 and ratio of their expenditure is 4 : 3.

Let the weekly income of A is Rs. 9x and weekly income of B be Rs. 7x

We know that, Expenditure = Income – Savings

Since savings of both A and B is Rs. 200. Thus,

Weekly expenditure of A = (9x – 200)

Similarly, weekly expenditure of B = (7x – 200)

Since the ratio of weekly expenditure is 4 : 3, hence

⇒ 27x – 600 = 28x – 800

⇒ x = 200

Hence, the weekly income of A = 9 × x

= Rs. 1800

Also, weekly income of B = 7 × x

= Rs. 1400

∴ The sum of weekly income of A and B = Rs. (1800 + 1400)

= Rs. 3200

According to the given information:

Similarly,

Hence, "FRAUD" written in that code language as “UIZFW”.

Since the number is of 100 digits and 3446, 5887 and 2445 are put side by side in the same order;

∴ 3446 must be repeated 9 times, 5887 & 2445 must be repeated 8 times;

∴ Sum of digits of 100 digits number = [3 + 4 + 4 + 6] × 9 + [5 + 8 + 8 + 7 + 2 + 4 + 4 + 5] × 8

⇒ 153 + 344

⇒ 497

Reminder when 497 is divided by 9 = 2

Hence, the remainder when the 100 digit number is divided by 9 would be 2.

Given, √5 = 2.236

 

⇒ (√5 + 1)/(5 - 1)

⇒ (2.236 + 1)/4

∴ 3.236/4 = 0.809

Let us represent the given relations in the form of a family tree

Clearly, the woman in photograph is Mira.

Hence, husband is the correct answer.

Dr Robert Koch discovered Mycobacterium TB, the bacillus that causes TB. World Tuberculosis Day (TB) is observed every year on March 24 to commemorate Dr. Robert Koch’s announcement of the discovery.

Hence there are 8 triangles in the above figure.

The first and last number between 100 and 400 which are divisible by 13 are 104 and 390 respectively.

The numbers will be in arithmetic proportion because the common difference is 13, so the first term is 104 and the last term is 390.

So, T_n = a + (n – 1) × d

⇒ 390 = 104 + (n – 1) × 13

⇒ n = 23

⇒ S_n = n/2 × (a + l) = 23/2 × (104 + 390)

⇒ S_n = 5681

∴ The sum of all natural numbers between 100 and 400 which are divisible by 13 is 5681

• Renal artery is the branch of abdominal aorta that carries blood to kidney. It enters in the kidney through the hilum part.
• Pulmonary artery is the only artery that carries deoxygenated blood. It carries deoxygenated blood from right ventricle to lungs.
• Hepatic artery is a blood vessel that supplies oxygenated blood to the liver, duodenum, pancreas, and gallbladder.
• Carotid arteries are major blood vessels in the neck that supply blood to the brain, neck, and face.

A charged particle experiences no magnetic force when moving parallel to a magnetic field, but when it is moving perpendicular to the field it experiences a force perpendicular to both the field and the direction of motion.

Prime Number, Even Number, Odd Number

2 is an even number which is also a prime number. Therefore prime numbers are both odd and even. From the given options, the above figure is the most closed relation between Prime Number, Even Number, Odd Number.

Hence, answer is option ‘3’.

• In an earthen pot, water gets evaporated through the pores quickly and cooling is because of evaporation.
• For this, some heat energy is utilized and since this is taken from water, it leads to the lowering of water temperature.

Ranganathittu Bird Sanctuary is the largest bird sanctuary in Karnataka.

Asian openbill stork, Common spoonbill and Woolly-necked stork breed in this sanctuary regularly.

It lies on the banks of River Cauvery, this sanctuary is the home to some of the most exquisite birds.

Trick: A bird name Rangana flies toward Karnataka

Metro has chugged though the tight neighbourhoods. So obviously it was hard to commute though them before metro. Also, the government must have spent a lot of money on this. Government won’t spend money on something which is already up to the mark. So the infrastructure must have been poor before 1998. Hence both the inferences follow. 

The rhythmic cycle of heart includes the contraction and relaxation of heart muscles to produce cardiac cycle. During this process contraction of heart muscle is known as systole and relaxation of heart muscle is known as diastole.

Since I is equidistant from all the sides of the triangle, I must be incentre of the circle.

Given ∠PRQ = 30°

∴ ∠PIQ = 90 + 30/2 = 105°

∴ ∠QIR + ∠PIR = 360° – 105° = 255°

In ΔABC

CD = 300

Distance Covered = BC + CD

100 + 300 = 400 m.

Time = 60 second

Speed = 24

Hence, option 4 will complete the given pattern.

• The Oxford Word of the Year 2018, originated from ‘Greek’.
• The Oxford Word of the Year 2018, was ‘toxic’, which means poisonous.
• ‘Toxic’ though is an English word but it was derived from Latin word ‘toxicum’, which in turn was taken from Greek word ‘toxikon pharmakon’.

• Norwegian explorer Roald Amundsen was the leader of the first expedition to reach the South Pole.
• He along with Helmer Hanssen, Oscar Wisting and Sverre Hassel reached the South Pole on 14^th December 1911.

• The concept of Public Interest Litigation (PIL) originated in mid 1980s in the United States and the first legal aid office was established in New York in 1876.
• PIL is a litigation that is filed by the lawyers in the large interest of people. 
• In India, an individual can file a PIL either in Supreme Court or High Court under the article 32 and 226 of the Indian constitution respectively. 

• Pneumatic bone is an important characteristic of Aves.
• Present throughout the body of birds, pneumatic bones are hollow bones filled with air cells.
• This makes the skeleton light thereby enabling the birds to fly.

From statement I:

• P sits third to left of S (2 spaces between P & S, with P on the left)
• T is an immediate neighbor of P as well as R (T surrounded by P & R)

Hence the following 2 cases arise (North is up for all diagrams):

Case I:

Clearly we cannot determine exactly who is in the middle.

From statement II:

• T sits second to left of S (1 space between T & S, T being on the left)
• Q is not an immediate neighbor or either T or S (Q’s neighbor(s) are R and/or P)

Again the following four cases arise:

Case I & II:

Again we cannot determine whether S or T comes in the middle.

From the statement, I & II combined:

• P sits third to the left of S (2 spaces between P & S, with P on the left)
• T is an immediate neighbor of P as well as R (T surrounded by P & R)
• T sits second to left of S (1 space between T & S, T being on the left)
• Q is not an immediate neighbor of either T or S (Q’s neighbor(s) are R and/or P)

Only the following case satisfies all the conditions.

Hence T occupies the middle position.

So the answer is ‘Data in both the Statement I and II together are necessary to answer the question.’

Let the sum be ‘x’ and the rate be ‘r’

∴ According to the 1^st given condition,

For the 2^ndcondition, Let t be the number of years required

∴ t = 24

∴ The amount will become 16 times in 24 years.

Given that he cheats 20% at time of buying

⇒ Goods bought = 1000(1 + 20/100)

⇒ 1200 g at price of 1000 g

Given that he cheats 10% at time of buying

⇒ Goods sold = 1000(1 – 10/100)

⇒ 900g at price of 1000 g

Since cost price = selling price

⇒ Profit percentage = goods left/goods sold × 100

⇒ [(1200 – 900)/900] × 100%

⇒ [300/900] × 100%

⇒ [1/3] × 100%

⇒ 33.33%

∴ Profit percentage = 33.33%

• Calcium carbide reacts with the moisture emanated by the respiration of the fruit.
• It liberates a gas called acetylene which helps in ripening the fruit.

Radius of the circle is 5 cm

∴ Side of the square AB = BC = 5√2 cm

Suppose PB = x cm

In ΔPBC

⇒ PC² = [(5√2)² + x²]

We know that∶

PC² = PB × PA

⇒ [(5√2)² + x²] = x × (x + 5√2)

⇒ 50 + x² = x² + 5√2x

⇒ x = 5√2 cm

∴ PC = √[(5√2)² + x²] = √(50 + 50) = 10 cm

Previous

This series is combination of two series which are placed alternately,

Series I : 9, 13, 17, ?

9 + 4 = 13

13 + 4 = 17

17 + 4 = 21

Series II : 16, 12, 8, ?

16 – 4 = 12

12 – 4 = 8

8 – 4 = 4

Hence, 21, 4 is the correct answer.

Table salt becomes moist during the rainy season because sodium chloride contains impurities like magnesium chloride which absorb water and makes it damp.

The voltmeter is connected in parallel with an ammeter

The ideal resistance of ammeter is zero, Hence voltage drop across it (IR=0)

Thus voltmeter shows 0 reading

• Arun Shourie is the author of the book "Worshipping False Gods".
• Arun Shourie is a journalist, economist, author and politician.
• He has worked as an economist, consultant, and editor at World Bank, Planning Commission of India, Indian Express and Times of India respectively.
• He was also appointed as Minister of Communications and Information Technology in 1998 by Shri Atal Bihari Vajpayee.
• This book is regarding critical look at the legend B.R. Ambedkar.

Let ‘a’ be the first term and ‘d’ the common difference.

Now, sum of first n numbers of an AP = 

Finding, the AP for different values of ‘n’

n = 1: a₁ = 2 × 1 – 1 = 2 -1 = 1

n = 2: a₂ = 2 × 2 – 1 = 4 – 1 = 3

∴ d = 3 – 1 = 2

(7¹³⁹) = (7^{136 + 3}) = (7^{(4 × 34 + 3)}) = 7^{4 × 34} × 7³

We know that cyclicity of 7 is 4 only, so (7^{4 × 34}) will have the unit digit 1

⇒ Unit digit of (7¹³⁹) = Unit digit of (1 × 7³) = Unit digit of 343

∴ Unit digit of (7¹³⁹) = 3

Carbon dioxide gas is crucial for the maintenance of life-sustaining temperature on Earth due to its property of trapping thermal solar radiation. The mechanism by which carbon dioxide traps heat in the atmosphere is commonly referred to as the "greenhouse effect", in absence of which Earth’s temperature would drop drastically.

Ramsar convention is an international treaty for the conservation and sustainable utilization of wetlands, recognizing the fundamental ecological functions of wetlands. It is named after the city of Ramsar in Iran, where the convention was signed in 1971.

Note: Here the person after ‘→’ is late one.

From statement 1: Z, who reached earlier than F, X and B was not the first to reach.

⇒ Z → F, X and B  was not first to reach and only D is left,

so D reached the party first.

Hence, Data in statement I alone is sufficient to answer the question

From statement 2: X, who reached earlier than F and B could not reach earlier than D, who was at the party hall before Z.

⇒ X → F, B and D → X & D → Z

⇒ D → X → F, B & D → Z

Clearly, Data in statement II alone are sufficient to answer the question

from statements II we can depict that D is the first to reach the party hall.

Hence, Data in statement I alone or in statement II alone is sufficient to answer the question.

In fluid dynamics, Bernoulli’s theorem gives the relation among the elevation, velocity, and pressure in a moving fluid, for which, the viscosity and compressibility are negligible and the flow is laminar or steady. The theorem is applicable for incompressible flows. 

• The Islets of Langerhans is the part of the pancreas in the human body. 
• It was discovered by the medical scientist Langerhans. 
• Hormones such as insulin, glucagon and somatostaintin are secreted from this part of the human body. 
• That is why malfunctioning of the pancreas will cause diabetes in the human body. 

Ultra Violet Spectrometer is basically used to study electronic transitions.

• It is mainly used for the measurement of reflectance of transparent solids and solutions as well as the intensity of a light beam.

p _ n n m _ p m n _ m p _ m n _ m p

1. n m n p p ⇒ p nnn m m p m n n m p p m n p m p

2.m n p n p ⇒ p m n n m n p m n p m p n m n p m p

3.m p n p n ⇒ p m n/n m p/ p m n/n m p/p m n/n m p

4.n p m p n ⇒ p nnn m pp m n m m p p m n n m p

Here in option 3) we can have repeated pattern of “pmn” and ‘’nmp’’alternatively.

Inside the conductor

Selecting any closed loop path inside the hollow conductor

I = 0

From Amperes Circuital law

∫H.dl=0

H = 0

B = 0

Outside the conductor, selecting a closed path, there is currently associated

Hence

Let the roots be 3t and 2t respectively

Product of the roots = c/a

3t × 2t = 5/12

t² = 5/72

∴ t = ± √5/(6√2)

Sum of roots = -b/a

3t + 2t = -m/12

-60t = m

∴ m = -60 × ± √5/(6√2) = ± 5√10

Only positive value of m is required

∴ m = 5√10

Cousins: Saira, Divanshi, Prahil, Kashvi, Naira and Devina.

T.V. Show: Kumkum Bhagya, Bigg Boss, Ye Hai Mohabbatein, Naagin, Bepannah and Ishqbaaz.

Hence, Naira likes Bigg Boss.

Itai-Itai disease name was given to the mass cadmium poisoning of Toyama Prefecture, Japan, starting around 1912. This disease was caused due to allergic pollution of cadmium metal.

Roots of Given equation x³ – 12x² + 39x – 28 = 0 are in A.P.

Let α – β, α, α + β be the roots of the equation.

Here β is the common difference

Sum of the roots = α – β + α + α + β = -b/a

3α = 12 ⇒ α = 4

and product  = - d/a

 (α – β) α(α + β) = 28

 α = 4

(4 – β) 4(4+ β) = 28

(4 – β) (4+ β) = 28/4 = 7

16 -  β² = 7

⇒ β = ± 3

• The Alps Mountains are ‘Young Fold Mountains’.
• The Alps Mountains are the highest and most extensive mountain range in Europe which were formed millions of years ago.
• The effects of folding on the layers within the upper part of the crust of Earth leads to the formation of the ‘fold mountains.

The pattern followed in each matrix is as follows,

In matrix 1 → 8 - 9 + 3 = - 1 + 3 = 2

In matrix 2 → 13 - 12 + 9 = 1 + 9 = 10

In matrix 3 → 17 - 11 + 0 = 6 + 0 = 6

Similarly,

Inn matrix 4 → 10 - 10 + 5 = 5

Hence, the correct answer is 5.

• An IC or Integrated Circuit, also known as microchip, chip, or microelectronic circuit is an assembly of electronic components which are fabricated as a single unit.
• The active and passive devices such as transistors and resistors and their interconnections are built on a thin substrate of silicon, a semiconductor material.

The First Battle of Panipat was fought on 21 April 1526 between the forces of Babur and Ibrahim Lodhi in which Lodhi was defeated and the Mughal rule was established in India.

• German silver is a copper alloy with nickel and zinc.
• Silver is not present in it. The usual formulation is 60% copper, 20% nickel and 20% zinc. It is also known as nickel silver.
• It was originally named for its silver-white colour.

• Due to good ties with India, the Saudi Arabian administration has allowed Haj Pilgrims to enter the country via sea route.
• This was previously banned by the country.

We know,

Average = sum of all observations/number of observations

⇒ Average marks of Rakesh in first 3 subjects = 79

⇒ Sum of marks in first 3 subjects = 79 × 3 = 237

Also,

Average marks of Rakesh in last 3 subjects = 86

⇒ Sum of marks in last 3 subjects = 86 × 3 = 258

Marks in third subject = 80

Sum of marks in all the five subjects = 237 + 258 - 80 = 415

∴ Average of all the five subjects = 415/5 = 83

Let the cost price of the first article be Rs. ‘x’

But, the first article is sold at a profit of 20%,

⇒ Selling price of first article = x + 20% of x = x + x/5 = (6/5)x

Now,

Selling price of second article = Cost price of first article = Rs. x

But, the second article is sold at a loss of 20%,

⇒ (100 - 20)% of Cost price of second article = Selling price

⇒ 80% of Cost price of second article = Selling price

⇒ (4/5) × Cost price of second article = x

⇒ Cost price of second article = (5/4)x

∴ Required ratio = (6x/5) ∶ (5x/4) = 24 ∶ 25

Rajasthan’s Sambhar Lake is the largest inland salt water lake of India with the surface area of approximately 200 sq. kilometers.

• It is located 96 km southwest of the city of Jaipur (Northwest India) and 64 km northeast of Ajmer along National Highway 8 in Rajasthan. 
• It surrounds the historical Sambhar Lake Town.

In the given series all three shapes in each figure are the same.

The only figure which belongs to the same group is option 3.

Hence, the answer is option 3.

Answer: Option 2 is correct.

Solution: The statement states that luxury hotels have facilities which attract public attention.

These facilities are important elements in successful functioning of those hotels. Thus conclusion II follows. We cannot conclude that luxury hotels have limited accommodation and reserved entry from the statement. It changes with the hotels policy and capabilities. Hence only conclusion II is true to the statement.

• The policy of Doctrine of lapse was introduced by Lord Dalhousie.
• According to "Doctrine of Lapse" when the ruler of a protected state dies without a natural heir, his state would be annexed by British India instead of passing it to an adopted heir.
• The states that were annexed by the policy of Doctrine of Lapse were Satara in 1848, Jaipur in 1849 and Bhagat in 1850 among others.
• Lord Dalhousie came to India as the Governor-General in 1848.