RRB JE CBT 1 - Full Test 2

China has built the world's biggest air purifier, a 328 feet high tower, to combat air pollution.

• Built in the Shaanxi province, it has given more than 10 million cubic meters of clean air since it was installed (January 2018).

• Nichrome (Ni+Fe+Cr) is an example to increase resistance to electricity.
• Sodium amalgam(Na+Hg) is an example to modify chemical activity.
• Aluminum Bronze (Al+Cu) is an example to change color and appearance.
• Type metal (Pb+Sn+Sb) is to modify casting ability.

By remainder theorem,

f(1) = 5         -----(i)

[x - 1 = 0, so x = 1]

f( - 1) = 19         -----(ii)

[x + 1 = 0,so x = - 1]

Now from eq.(i)

1 - 2 + 3 - a + b = 5

Or b - a = 3         -----(iii)

From eq.(ii)

1 + 2 + 3 + a + b = 19

Or a + b = 13         -----(iv)

From eq. (iii) + (iv)

2b = 16

b = 8

Now from eq.(iv)

a = 13 - 8 = 5

a = 5 , b = 8

A fielder pulling his hand backward while catching a ball is an application of newton’s second law of motion.

Newton's Second Law of motion states that the rate of change of momentum of an object is proportional to the applied force in the direction of the force. ie., F=ma. Where F is the force applied, m is the mass of the body, and a is the acceleration produced.

Newton's Third Law of Motion states that 'To every action there is an equal and opposite reaction'.

Graphite is a good conductor of heat as well as electricity. This is because, like metals, graphite contains delocalised electrons. These electrons are free to move through the structure of the graphite. These property makes graphite a good conductor of heat and electricity.

When the folded paper is opened, it appears as shown below,

Thus, when the fold is opened the paper looks like image at option 1.

As per the Central Statistic Office, the Indian economy is expected to grow at 7.2% in 2018-19 due to improvement in the performance of agriculture and manufacturing sectors.

Eight People: P, Q, R, S, T, W, Y and Z

Colours: Red, Blue, Green, Black, White, Pink, Yellow and Brown (not necessarily in the same order)

1) P likes yellow and sitting third to the left of W.

2) Two persons are sitting between W and S

3) The one who likes pink is not sitting with P nor with W.

4) Only one person is sitting between T and Z but not P and S.

5) Y likes black but he is not sitting with S.

6) R does not like pink nor white.

(So, R is sitting between P and S.)

7) T is sitting to the immediate left one who likes green.

(So, W likes green.)

8) Z does not like brown nor he is sitting to the immediate right one who likes black.

(Thus, case I gets eliminated.)

9) The one who likes white is not sitting with W.

(So, S likes white (refer to point no. 7).

10) R neither likes brown nor Red.

(So, R likes blue.)

Also, Z does not like brown, so Z likes Red and T likes brown.

Hence, “Z, Red” is the correct answer.

Accrue means to accumulate or receive over time.

Diffuse means spread out over a large area.

Accrue and diffuse are antonyms to each other.

Similarly,

Agony means extreme physical or mental suffering.

Among the given words Relish is an antonym to Agony.

Relish means great enjoyment.

Thus Agony is related to Relish.

AIveoIi, balloon like structures are tiny air sacs within the lungs. The respiratory system comes into direct contact with the circulatory system through them. They pass carbon dioxide in the blood to the lungs while oxygen in the lungs is passed into the blood. 

The logic here is as follows,

3 × 6 = 18

18 ÷ 5 = 3.6

3.6 × 4 = 14.4

14.4 ÷ 3 = 4.8

4.8 × 2 = 9.6

Thus the next number in the series is 9.6.

• In Gujarat, the nine-day long international kite festival was kicked off at Sabarmati River Front in Ahmedabad on 6 January 2019.
• The festival was a part of the celebrations for Makar Sankranti (also called Uttarayan).
• More than 150 kite fliers from 45 countries had participated in this edition of the festival.
• About 500 kite fliers from 13 different states of the country had also taken part.

Let weight of M be x.

Weight of C is twice the weight of M → C = 2x

Weight of M is 1/9 of the weight of R → M = 1/9 R → R = 9x

Weight of R is 5/2 of the weight of K → 9x = 5/2K → K = 3.6x

Weight of K is 1/3 of the weight of G → K = 1/3G → 3.6x = 1/3G → G = 10.8x

Final solution is:

G > R > K > C > M

Hence, ‘C’ is the 2^nd lightest.

Average = Sum of quantities/Total number of quantities

Given, average temperature of the first three days is 27°C, and that of the next three days is 29° C.

Sum of temperatures for first six days = 27 × 3 + 29 × 3 = 168° C.

Let the temperature on the last day be ‘t’.

Thus average temperature of the week = 
Given, average of the entire week is 28.5°C.

⇒ 168 + t = 199.5

⇒ t = 31.5° C

• Erythrocytes are the most abundant of all the cells in the blood.
• Erythrocytes (Red Blood Cells) are found only in vertebrates and are the most abundant of all the blood cells.
• Leucocytes are the white blood cells.
• Platelets are tiny blood cells which are responsible for stopping bleeding.
• Neutrophils are the most abundant kind of white blood cells found in mammals.

European Investment Bank (EIB) will be signing a new loan for large and small clean energy projects all over India. The EIB is the world's biggest financier of climate action and clean energy projects. In 2017 the EIB invested EUR 19.6bn in climate action projects. The EIB signed a partnership with the International Solar Alliance aimed at supporting the initiative.

Loss % = {(Cost price – selling price)/cost price} × 100

Profit % = {(2 × selling price – cost price)/cost price} × 100

According to question,

{(Cost price – selling price)/cost price} × 100 = {(2 × selling price – cost price)/cost price} × 100

⇒ cost price – selling price = 2 × selling price – cost price

⇒ 2 × cost price = 3 × selling price

⇒ Selling price/cost price = 2/3

Now,

∴ Loss % = {(Cost price – selling price)/cost price} × 100 = {1 – (selling price/cost price)} × 100 = {1 – (2/3)} × 100 = 33.33%

Previous

When we complete the above figure, we get:

Here in each next term 1^st letter form the start or 1^st letter from the end is removed alternatively.

Thus the next term in the series will be THEMATI.

As (6, 8, 10) is a pythagorean triplet so triangle ABC is a right angled triangle, right angled at B

⇒ Area of triangle ABC = (1/2) × base × height = 1/2 × 6 × 8 = 24 cm2

Now, point D bisects AB

⇒ DB = (1/2) × AB = 1/2 × 8 = 4 cm

Also, triangle DBC is a right angle triangle, right angle at B

⇒ Area of triangle DBC = (1/2) × base × height = 1/2 × 6 × 4 = 12 cm2

∴ Required ratio = area of triangle DBC ∶ area of triangle ABC = 12 ∶ 24 = 1 ∶ 2

Let’s assume that initially Manu has Rs.X

First he gives 20% of his money to his eldest son

∴ money given to the eldest son = 0.2 X

∴ Remaining money = X – 0.2 X = 0.8 X

Then he gives 40% of the remaining money to his youngest son

∴ money gives to the youngest son = 0.8 X × 0.40 = 0.32 X

∴ Remaining money = 0.8 X – 0.32 X = 0.48 X

Then he gives 30% of the remaining money to a school for poor boys

∴ money gives to school for poor boys = 0.48 X × 0.30 = 0.144 X

∴ Remaining money = 0.48 X – 0.144 X = 0.336 X

Given finally remaining money = 1008

∴ 0.336 X = 1008

⇒ X = 3000

∴ the total sum is = Rs. 3000

• The Indus water treaty (IWT) is a water-distribution treaty between India and Pakistan which was signed on September 19, 1960.
• The treaty was signed by Prime Minister Jawaharlal Nehru and Pakistan’s President Ayub Khan.
• The treaty deals with river Indus and its five tributaries.
• These are divided into two categories - 

Eastern Rivers:

1. Sutlej
2. Beas
3. Ravi

Western Rivers:

1. Jhelum
2. Chenab
3. Indus

According to treaty, all the water of eastern rivers shall be available for unrestricted use in India. India should let unrestricted flow of water from western rivers to Pakistan.

Woollen clothes being a bad conductor of heat does not allow body heat to dissipate in surroundings, which enables us to keep our body warm.

The fathom is a unit of water depth, from which the instrument gets its name. The fathometer is an echo sounding system for measurement of water depth. A fathometer will display water depth and can make an automatic permanent record of measurements.

Clearly based on the practices in other countries a decision cannot be taken in India. Thus Argument I is invalid. Since English is used widely thus we using it in our country will help us more. Thus option 2 is the correct answer.

• Radon-222 is formed naturally during a chain of radioactive decay.
• The decay series begins with uranium-238, and among the substances formed is radium-226, which decays directly to radon-222.
• The uranium is widely distributed in rocks and soils throughout the earth's crust.

From the given information,

Based on given data, we can draw the possible family tree.

The man in the question has only one uncle who is his maternal Grandfather’s son. The woman is the wife of the mentioned Uncle, as evident from the family tree.

Hence, that woman is Uncle’s wife.

1 unit = 1 kWh

100 W = 0.1 kW        [∵ 1kW = 1000 W]

In 30 days total consumption of the bulb = 0.1 kW × 30 days × 5 hours/day = 15 kWh

Given, cost of 1 unit = 75 paise

So total expenditure = 75 × 15 = 1125 paise = Rs. 11.25

• The 32nd meeting of GST council was held on 10 January 2019.
• In the meeting, it was decided that the companies with annual turnover up to Rs. 40 lakh will stay out of the GST net (Rs. 20 lakh earlier).
• The annual turnover limit for eligibility for the Composition Scheme was raised to Rs.1.5 crore from 1 April 2019.

Here, all images except image 3 are related to physics.

i.e. image 1 is wavelength

image 2 is Reflection

image 4 is pendulum

whereas, Image 3 is structure of DNA, which is related to biology.

Hence, image 3 is odd one out.

A ‘thief’ is a ‘criminal’. A judge is a public officer appointed to decide cases in a law court.

Hence, the relationship between Judge, Criminal, Thief can be represented as given in the below diagram:

Hence, option ‘2’ is the correct answer.

Here Lithium, Potassium and Rubidium are Alkali metals whereas Barium is an Alkaline earth metal.

Thus Barium is the odd word.

A number M is divisible by 25 if it ends with 00, 25, 50, or 75.

(M + 5)(M + 1) = M² + 6M + 5

When a number (x + z) is always divisible by y, the remainder of (x + z) when divided by y will be zero

When M² + 6M + 5 is divided by 25, the remainder will be due to sum of that.

M is divisible by 25, M² is also divisible by 25

6M will also be divisible by 25

5 when divided by 25 leaves the remainder of 5

So the sum M² + 6M + 5 is divided by 25, the remainder will be 5

Given, Annual incomes of A and B are in the ratio of 5 : 3 and their annual expenses bear a ratio 3 : 1.

Let the annual incomes of A and B be 5a and 3a respectively.

Now, each of them saves Rs. 600 at the end of the year.

Thus,

⇒ 5a – 600 = 9a – 1800

⇒ 4a = 1200

⇒ a = Rs. 300

Thus, annual income of A = 5a = Rs. 1500

Contamination of water bodies cause water pollution, as a result of the human activities. The inorganic contaminants that cause water pollution include ammonia from food processing units, acids by industrial discharges, fertilizers, heavy metals, silt, and more.

Since, Saloni is fulfilling condition a), 40% more fees is to be taken from her.

Radiation Rays coming out of natural radioactive atom:

1) ABODE → the letter D is not present in BARRELHOUSE, so it can’t be formed.

2) HERBAL → it can be formed.

3) REACH → the letter C is not present in BARRELHOUSE, so it can’t be formed.

4) LARGE → the letter G is not present in BARRELHOUSE, so it can’t be formed.

Hence, HERBAL can be formed from the letters used in BARRELHOUSE.

Amount after t years, when interest is compounded annually = P(1+R/100)^t
Amount = 20480 = Rs.23409
C.I. = Rs. (23409 - 20480) = Rs. 2929

Given,

tan²ycosec²x - 1 = tan²y

We know that

cosec²x - cot²y = 1

cosec²x = 1 + cot²y

cosec²x = cosec²y

[1+ cot²θ = cosec² θ)

∴ x = y

∴ x - y = 0

The logic here is as follows, 

Similarly,

Thus PRACTICE is coded as EATCRCIP.

Diameter of each bullet = 4 ⇒ Radius = 2 cm

Here, volume of the cube = Volume of each bullet × total no. of bullets
⇒ 44³ = 4/3 × 22/7 × 2³ × No.ofbullets
⇒ No. of bullets = 2541

2x + 1/2x = 2 is only possible when 2x = 1

⇒ 2x = 1

⇒ x = ½

Put this in the required equation

⇒ √[2 × {1/(1/2)}⁴ + {1/(1/2)}⁵]

⇒ 2³ = 8

∴ Value of required expression is 8

If 0 ≤ x ≤ π/2

Then 0 ≤ sinx ≤ 1

0 ≤ cosx ≤ 1

∴ (IV) is always right

sinx increases from 0° to 90° in first quadrant and cosx decreases.

The logic here is as follows,

(1 + 2) + 3 = 6

(2 + 6) + 4 = 12

(6 + 12) + 5 = 23

(12 + 23) + 6 = 41

(23 + 41) + 7 = 71

(41 + 71) + 8 = 120

Thus the next numbers in the series are 71, 120.

In a concave mirror, if the image is formed beyond its centre of curvature (C), then the object must lie between C and F (focal length). The image so formed is enlarged, real and inverted.

684 × 686 = 684 × (684 + 2) = 684² + 2 × 684

To make it perfect square we should add 1

⇒ 684² + 2 × 684 × 1 + 1² = (684 + 1)²

So ans is 1.

The man firstly faces the direction OA. On moving 45 degrees clockwise, he faces the direction OB. Now again he moved 180 degrees clockwise, now he will be facing OC. From here he moved 270 degrees anticlockwise. Finally, he is facing OD, which is in South-west direction.

Persons working with phosphorus develop a disease known as Phossy jaw in which jaw bones decay. It is also known as phosphorous necrosis of the jaw.

Thus, ‘important’ is coded as ‘1’.

• Carbon forms covalent bonds.
• There are three major types of covalent bonds: single, double, and triple bonds.
• A carbon atom can form four single bonds.
• A Covalent bond is a bond that is formed after the sharing of electron pairs between atoms.

There are many causes of photophobia, bad lifestyles are the main reason. Vitamin B2 riboflavin deficiency is the main one reason why suffer photophobia.

According to the given information,

Number of male members = 4

Let the number of female members be y.

We know that, Average = Sum of all observations/Number of observations

The average monthly income of male members is Rs.24000 per head

∴ 24000 = Total monthly income of males/4

⇒ Total monthly income of males = 24000 × 4 = 96000

The average monthly income of female members is Rs.18750 per head

∴ 18750 = Total monthly income of females/y

⇒ Total monthly income of females = 18750y

Now, total average monthly income = (Income of males + Income of females)/(males + females)

⇒ 87000 + 21750y = 96000 + 18750y

⇒ 3000y = 9000

⇒ y = 3

Hence, the number of female members is 3.

1 day's work of Chetan = 1/24

8 days' work of Chetan = 8 × 1/24 = 1/3

Hence, the remaining work that Chetan completed in 8 days = 1/3

⇒ Work done by Amar in 6 days = 1 – 1/3 = 2/3

⇒ 6 days' work of Amar = 2/3

⇒ 1 day's work of Amar = 1/6 × 2/3 = 1/9

This means that Amar would have done the whole work in 9 days.

∴ Amar would have taken (9 – 6 = 3) days to complete the remaining work.

Speed of car M = (Distance Travelled)/(Time taken) = 120/2.5 = 48 kmph

∴ Speed of Car W = 48/2 = 24 kmph

Pulses and Nuts are a great source of Thiamin. Sea food gives us Iodine. Bananas have high Iron content. Oranges are a source of Vitamin C.

Let the price of the ticket be 8x and revised price be 11x (Since the ratio given is 8 ∶ 11)

Number of tickets sold be 23y and revised number be 21y,

⇒ Revenue before increase in price = 8x × 23y = 184xy

⇒ Revenue after increase in price = 11x × 21y = 231xy

Given, 184xy = 36800

⇒ xy = 200

⇒ Increased revenue = 231xy = 231 × 200 = Rs. 46200

∴ Increase in revenue = 46200 - 36800 = Rs. 9400

To close the 'Car' we have a 'Door'. Similarly, Jacket has 'Zip' to close it.

Thus 'Jacket' is related to 'Zip'.

SI = PRT/100, A = P + SI

SI = Simple interest, P = Principal, A = Amount, R = rate, T = time

A = 2P

2P = P + (P × 9.09 × T/100)

⇒ P = 9.09PT/100

⇒ T = 100/9.09 ≈ 11 years

• Members of Isotopes have similar chemical properties.
• Isotopes of an element have the same number of electrons and protons as an atom of that element. Example: ³⁵Cl₁₇ and ³⁷Cl₁₇
• Isobars are atoms (nuclides) of different chemical elements that have the same number of nucleons.
• Isotones are the two nuclides if they have the same neutron number N, but different proton number Z.

Let 1 boy’s 1 day work be ‘x’ and 1 girl’s 1 day work be ‘y’.

Hence, we have,

⇒ 3x + 4y = 1/(4.5)

⇒ 3x + 4y = 2/9           …(1)

Also,

⇒ 9x + 6y = 1/2               …(2)

Multiplying eq. (1) by 3 and subtracting from (2), we get,

⇒ 9x + 6y – 9x – 12y = 1/2– 2/3

⇒ – 6y = –1/6

⇒ y = 1/36

Substituting in (1),

⇒ x = 1/27

⇒ 6 boys and 8 girls 1 day work = 6(1/27) + 8(1/36) = 2/9 + 2/9 = 4/9

∴ 6 boys and 8 girls will finish the same piece of work in 9/4 days.

In alphabetical series, the letters are related as follows,

Thus GJ is related to TQ.

Misch metal is an alloy of rare-earth elements. Misch metal alloyed with iron is the flint (spark-producing agent) in cigarette lighters. It is also used as a deoxidizer in various alloys and to remove oxygen in vacuum tubes.

Given that,

and

• When the sebaceous glands become plugged and infected, they form skin blemishes or pimples. 
• Sebaceous gland is a kind of exocrine gland which secretes sebum.
• Eccrine glands and apocrine glands are sweat glands in the human body. 
• Endocrine glands are those which secrete their hormones or products directly into the blood.

Only set of numbers that fit all the criteria is 3, 6, and 12

Hence answer is (2)

• The book 'We are Displaced' is written by Malala Yousafzai.
• The book gives a description of her experiences of traveling around the world and visiting refugee camps.
• Malala Yousafzai got the Nobel Peace Prize in 2014.

• On 2 January 2019, the Union Cabinet approved the merger of Vijaya Bank, Dena Bank with Bank of Baroda (BoB). 
• Following the merger of these banks, BoB will become the third largest bank in India after the State Bank of India and HDFC Bank in terms of assets. 
• The government of India in September 2018 had announced the merger of these three banks.

Cost price of wheat flour = Rs. 20 per kg

Selling price of wheat flour = Rs. 25 per kg

Profit percentage due to price = [(25 – 20)/20] × 100 = 25%

He gives 900 g instead of 1 kg ( = 1000 g)

Profit percentage due to false weight = [error/(true weight – error)] × 100 = (100/900) × 100 = 11.1%

∴ Total profit percentage = 25 + 11.1 + (25 × 11.1)/100 = 36.1 + 2.775 = 38.875%

Madhya Pradesh

The Academy which runs the Oscars ceremony has added a new category to honor popular films. The Academy also plans to set an earlier air date for the Oscars in 2020 — February 9 — and will be making that broadcast more “globally accessible.” The award show will also be capped at three hours long.

 Oscars 2019 -February 24

Given statements can be represented using Venn diagram as follow:

Conclusion I: Some words are numbers ⇒ This is definitely true.
Conclusion II: Some locks are letters ⇒ This is definitely true.

Hence, both conclusions are true.

It is not possible to have a single university in the whole country and uniformity can be achieved in other ways like following the same syllabus or pattern of questions. Thus only II holds.

⇒ Given: 40% of SP = 100% of CP

⇒ 1% of SP = 100% / 40% of CP

⇒ 100% of SP = 100% / 40% ⨯ 100% of CP

⇒ 100% of SP = 250% of CP

∴ Profit = SP - CP = (250 - 100)% = 150%

According to question,

17658 = P(1 + 8/100)(1 + 9/100)

⇒ 17658 = P × 108/100 × 109/100

⇒ P = Rs. 15000

∴ The amount invested = Rs. 15000

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

Since, Train is crossing a man, so the distance travelled by train to pass a man is equal to its own length.

Now, as we know that Speed = Distance/Time

∴ y = x/16

⇒ x = 16y

While crossing the platform total distance covered by train would be summation of length of train and length of platform.

∵ Speed = distance/time

∴ y = (x + 60)/20

⇒ 20y = x + 60

⇒ x = 20y – 60

On equating value of x, we get

16y = 20y – 60

⇒ 4y = 60

⇒ y = 15 m/s.

⇒ y = kmph = 54 kmph

Speed of train is 54 kmph.

The logic here is as follows,

1) 8, 20, 44, 92, 188

(2 × 2) + 4 = 8

(8 × 2) + 4 = 20

(20 × 2) + 4 = 44

(44 × 2) + 4 = 92

(92 × 2) + 4 = 188

2)  ​6, 16, 36, 76, 156

(1 × 2) + 4 = 6

(6 × 2) + 4 =16

(16 × 2) + 4 = 36

(36 × 2) + 4 = 76

(76 × 2) + 4 = 156

3) 4, 12, 28, 60, 124

(0 × 2) + 4 = 4

(4 × 2) + 4 =12

(12 × 2) + 4 = 28

(28 × 2) + 4 = 60

(60 × 2) + 4 = 124

4) 7, 22, 67, 202, 607

(2 × 3) + 1 = 7

(7 × 3) + 1 = 22

(22 × 3) + 1 = 67

(67 × 3) + 1 = 202

(202 × 3) + 1 = 607

Thus the odd series is 7, 22, 67, 202, 607.

Founded in January 1971 by Klaus Schwab, the World Economic Forum is a non - profit organisation based in Switzerland. The aim of the body is to improve the state of the world by engaging business, political, academic and other leaders of society to discuss and work upon global, regional and industry issues. The forum is best known for its annual international meeting in January in Davos, a mountain resort.

• Red Blood Cells or Erythrocytes of adult mammals are formed in the bone marrow of the body.
• The general lifespan of the RBC is about 120 days after which new cells replace the old ones. 

As per the reverse dictionary order,

1) Nominate

2) Neutral

3) Narrated

4) Napoleon

5) Nagged

Hence, ‘Napoleon’ is the fourth word.

Animals that have a body cavity called a coelom with a complete lining called peritoneum derived from mesoderm (one of the three primary tissue layers) are called Coelomates (also known as eucoelomates - "true coelom"). Contrarily, animals which lack a coelom, like flatworms and tapeworms, are called acoelomates.

• Bihar's Katarni rice has got the Geographical Indication (GI) tag.
• The Shahi litchi of North Bihar has got the Geographical Indication (GI) tag. It is the fourth product from the state after Jardalu mango, Katarni rice and Magahi Paan to have got the GI tag.
• Shahi Litchi is mainly cultivated in Muzaffarpur, Samastipur, Vaishali, East Champaran, and Begusarai and some parts of adjoining areas in agro-climatic areas of the Bihar.

Electrical impedance is the measure of the opposition that a circuit presents to a current when a voltage is applied. In general, impedance will be a complex number, with the same units as resistance, for which the SI unit is the ohm (Ω).

Stress is defined as the force per unit area of a material. i.e.

Stress = force/cross sectional area:  

where, sigma (σ)= stress, F= force applied, and A = cross sectional area of the object.

Units of stress : Nm^-2 or Pa.

Total profit = Rs. (5 + 15) crore = Rs. 20 crore.

Total loss = Rs. (15 + 15 + 10) crore = Rs. 40 crore.

∴ The net loss = Rs. 40 - 20 crore = Rs. 20 crore.

In 4 * 7 * 6 = 698

The pattern followed here is,

4 + 2 = 6

7 + 2 = 9

6 + 2 = 8

In 3 * 5 * 0 = 572

3 + 2 = 5

5 + 2 = 7

0 + 2 = 2

Similarly, then adding 2 to each number 6 * 2 * 1

6 + 2 = 8

2 + 2 = 4

1 + 2 = 3

Therefore, “843” is correct answer. 

⇒ Given: ∠CAT = 40° and ∠CTA = 44°

⇒ We have ∠CAT = ∠ABC = 40° (alternate segment of the circle)

⇒ Again, ∠BCA = ∠CAT + ∠CTA = 40° + 44° = 84° (exterior angle of a triangle)

⇒ Now , In ∆ABC,

⇒ ∠ABC + ∠BCA + ∠CAB = 180°

⇒ 40° + 84° + ∠CAB = 180°

⇒ ∠CAB = 56°

⇒ Again ∠BOC = 2∠CAB = 2 × 56° = 112° (angle subtended by a chord on the center is double to the angle subtended on the circle)

The Second Ozone hole was detected over the Arctic.

Let AB = h

In ΔBCE

BC = (100 - h) × √3

The Air Quality Index is measured in ppm or parts per million. It is the ratio of the pollutant to a million parts of atmospheric air. An air quality index is a number used by government agencies to communicate to the public how polluted the air currently is or how polluted it is forecast to become in future.

Let the original price of the sugar per kg be Rs. X. Let the quantity of sugar purchased initially be Y units in Rs. 270.

Thus, X × Y = 270 ….(1)

Given: Price of sugar decreased by 10%.

∴New price of sugar per Kg = 
= 0.9X

Since the man could buy 1 more kg on his reduction of price, hence

⇒ Quantity of sugar purchased = Y + 1

As the total expenditure remains the same i.e. Rs. 270, therefore

⇒ 0.9X × (Y + 1) = 270 …(2)

Dividing equation (1) by (2), we get

⇒ Y = 0.9Y + 0.9

⇒ Y = 9 units

∴ From equation (1) we get, X = Rs. 30

Black soil is also called Regur soil. It is black in colour and ideal for growing cotton. This type of soil is typical of the Deccan trap (Basalt) region spread over North - West Deccan plateau and is made up of lava flows.

• During the reign of Masud Shah, towards the end of 1245 AD, Mongols captured Multan which was recovered by Balban. 
• During the reign of Ghiyasuddin Balban, there were Mongolian invasions in 1279 AD and 1286 AD. 
• During the reign of Jalaluddin Khilji, in 1292 AD, Abdullah, the leader of the Mongols, came to the northern part of India but later about 4000 Mongols were converted to Islam and came to be known as the 'New Muslaman'. 
• During the reign of Firoz Shah Tughlaq, there was no Mongol Invasion but Timur, the Lame attacked India in 1398 AD i.e. after his death. 

Van Mahotsav is an annual tree - planting movement in India, which began in 1950. The name Van Mahotsava means Festival of forest. It was started by K.M. Munshi.

• The spleen is the largest lymphatic organ of the body.
• Lymphatic organs are the ones which carry the clear fluid lymph in them.
• The spleen synthesizes antibodies in its white pulp and removes antibody-coated bacteria.