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Hence, the total number of triangles is 15.

The pattern followed here is,

Consecutive prime numbers are given,

13 and 17

Similarly,

19 and 23

Hence, 23 is the correct answer.

The game cricket is played with bat and ball.

Similarly, badminton is played with racket and shuttle cock.

Hence Badminton is related to Shuttle.

Let the age of A be “x” years, B be ‘y’ years and C be “z” years.

Three years ago,

Age of A = x – 3 years

Age of B = y – 3 years

Average of age of A and B = (A + B)/2 = 8 years

⇒ (x + y -6)/2 = 8

⇒ x + y – 6 = 16

⇒ x + y = 22

Now average of A,B and C = 15 years

⇒ (A + B + C)/3 = 15

⇒ x + y + z = 45

⇒ 22 + z = 45

⇒ z = 23 years 

Since the data about the age is not given.

The correct answer is Data inadequate.

Prime numbers before 19 = 17, 13, 11, 7, 5, 3, 2

We know, Average = sum of all the number/total number

∴ Average = (17 + 13 + 11 + 7 + 5 + 3 + 2)/7 = 58/7 = 8.28

• The hypothalamus is the processing center of the brain that controls body temperature.
• It does this by triggering changes to effectors, such as sweat glands and muscles controlling body hair.
• Heat stroke can happen when the body becomes too hot, and hypothermia when the body becomes too cold.

Time taken by 5 men to do a piece of work = 12 days

∴ Work done by 5 men in 1 day = 1/12

Time taken by 10 women to do the same work = 15 days

∴ Work done by 10 women in 1 day = 1/15

With the help of 15 children they finished the work = 5 days

∴ Work done by (5 men + 10 women + 15 children) in 1 day = 1/5

So, work by 15 children in 1 day = 1/5 - 1/12 - 1/15 = 1/20

Time taken by 15 children to do the same work = 20 days

The ratio of their time = 12 : 15 : 20

We know, the efficiency is inversely proportional to the time

So, ratio of their efficiency = 1/12 : 1/15 : 1/20 = 5 : 4 : 3

So, 5 + 4 + 3 = 12 unit = 36,000

⇒ 1 unit = 3,000

⇒ 3 unit = 9,000

∴ Share of 15 children is 9,000

So, share of 1 child = 9,000/15 = 600

So, share of 5 children = 600 × 5 = 3,000

The order of the increasing wavelength of the colors is:

• Violet
• Indigo
• Blue
• Green
• Yellow
• Orange
• Red

The visible light or visible spectrum is divided into these colors.

In all pairs except ‘LMNO – LMON’ 1^st & 2^nd and 3^rd & 4^th alphabets are interchanged while in ‘LMNO – LMON’ 1^st & 2^nd alphabets are not interchanged.

Hence, ‘LMNO – LMON’ is an odd letter pair.

Mycology is the branch of biology concerned with the study of fungi, including their genetic and biochemical properties, their taxonomy and their use to humans as a source for tinder, medicine, wine, cheese, (edible mushrooms), and entheogens, as well as their dangers, such as poisoning or infection.

In space craft freezing of fuel is prevented by the Usage of Glycol. It is an additive which lowers the freezing point of a water-based liquid and increases its boiling point. Thus ensuring performance of the engine or the space craft in situation of extreme temperature shifts.

• Chandragupta Maurya became a Jain and left for Sravanbelgola, Karnataka along with his Jain guru Bhadrabahu. 
• He died by slow starvation at Chandragiri Hill, Sravanbelgola .
• He lived as an ascetic for some years and died of voluntary starvation.
• He was the founder of the Maurya Dynasty in India. 

• 'Lippa Asrang' Wildlife Sanctuary is a part of district Kinnaur in Himachal Pradesh.
• It is situated in an area of 3089 hectares and is part of Moorang town.
• The sanctuary was established in the year 1974.

Concept:

cos(90−θ)=sinθ
sin(90−θ)=cosθ

Tear gas also known as lachrymator agent is a chemical compound that is mostly used as a weapon as it causes severe eye, respiratory and skin irritation.

Chloropicrin is a constituent of tear gas and is responsible for causing irritation.

• Water in an electric kettle becomes hot by convection. It is the process of transfer of heat by mass motion of a fluid such as water when the heated fluid is caused to move away from the source of it and carrying energy with it.
• Conduction is the process of transmission of heat through the material of a substance.
• Radiation is the process of emission of energy in the form of moving subatomic particles or electromagnetic waves.

Rectangle represents Animators,

Circle represents Dancers,

Triangle represents Potters,

Square represents Mothers

Thus the letters inside the triangle but not in the intersection of square and triangle represent Potters who are not Mothers i.e. IH.

Hence, the correct answer is IH.

Lcm of (6, 5) = 30

Let’s assume the number be "30K + constant", where Constant is the remainder.

let that number be ‘M’

⇒ M/6 = 5 (remainder)

M could be 5, 11, 17, 23, 29, ...

⇒ M/5 = 3 (remainder) 

M could be 3, 8, 13, 18, 23, 28, ...

The very first number common in both term is 23.

⇒ M is 23 i.e. a constant term

⇒ 30K + constant = 30K + 23

The largest three digit number comes when K is 32

⇒ 30 (32) + 23 = 983

∴ When 983 is divided by 11, leaves the remainder 4.

• A radioactive element is that which breaks down over the time by turning into different elements and releasing energy.
• They are considered unstable since they have an unbalanced number of protons and neutrons in the nucleus. Germanium is not a radioactive element, while the rest of these are radioactive.

Harike Wetland is a manmade lake and wetland formed by the headworks built in 1953 on the confluence of the Beas and the Sutlej rivers. The wetland is characterized by the Harike freshwater lake and is a home to over 200 species of birds along with a rich marine flora and fauna.

Consider the horizontal relations,

In row 1, (7 × 5) – 2 = 35 – 2 = 33

In row 2, (8 × 6) – 2 = 48 – 2 = 46,

In row 3, (6 × 6) – 2 = 36 – 2 = 34,

Similarly in row 4, (8 × 7) – 2 = 56 – 2 = 54

Hence, 54 is the correct alternative.

sec²θ + tan²θ =53=53

[1 + tan²θ = sec²θ]

1 + tan²θ + tan²θ =53=53

2 tan²θ  = 5/3−1

tanθ =1/√3

∴ θ = 30°

Original weight of rice = 1 kg = 1000 gm

Let cost of 1 gm is Rs. 1

Cost price of 1000 gm = Rs. 1000

Selling price of 850 gm = Rs. 1000 (∵ giving only 850 gm instead of 1000 gm)

Profit = [error/ (true weight)] × 100

⇒ Profit = [(1000 - 850)/ 850] × 100 = (150/850) × 100 = 17.65%

∴ profit % on 5kg is equal to profit on 1 kg which is 17.65%

The pattern followed is:

95 + 65 + 23 = 81

9 × 5 + 6 × 5 + 2 × 3 → 45 + 30 + 6 = 81

Similarly;

56 + 23 + 62 = 48

5 × 6 + 2 × 3 + 6 × 2 → 30 + 6 + 12 = 48

Similarly;

56 + 26 + 32 = ?

5 × 6 + 2 × 6 + 3 × 2 → 30 + 12 + 6 = 48

Hence, 48 is the correct answer.

Let the first number be 5a.

So, the second number = 60% of 5a = 3/5 × 5a = 3a

HCF × LCM = 1^st no. × 2^nd no.

⇒ 2535 = 5a × 3a

⇒ 2535 = 15a²

⇒ a² = 169

⇒ a = 13

∴ Difference between the numbers = 5a - 3a = 2a = 2 × 13 = 26

• Water comes out of leaves in the form of vapour by the process of transpiration.
• Evaporation occurs on the surface of a liquid when it changes into gaseous phase before reaching its boiling point.
• Condensation is the change of the physical state of matter from gas to liquid.
• Sublimation is the direct transition of a substance from solid to the gas phase.

• Dysentery is a disease which affect the small intestine of a human being.
• It includes the severe diarrhea and abdominal pain.
• It is caused by a parasite which is known as Entamoeba histolytica.
• It is an inflammatory disease which causes inflammation in the small intestine.

Linux is an operating system, not a programming language. It is a free & open-source operating system.