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Let's find prime factors of 5, 15 & 20   

5 = 5

15 = 3 × 5  

20 = 2 × 2 × 5  

LCM = 5 × 2 × 2 × 3  = 60  

HCF = 5  

Ratio = LCM/HCF 

= 60 / 5  

= 12 /1  

= 12 : 1

Since, the sum of lengths of any two sides in a triangle should be greater than the length of third side. 

It is given that two sides of triangle are 12 cm and 15 cm. Therefore, the third side should be less than 12 + 15 = 27 cm. 

And also the third side cannot be less than the difference of the two sides. Therefore, the third side has to be more than 15 – 12 = 3 cm. Therefore, the third side could be the length more than 3 cm and less than 27 cm.

-1≤  x ≤ 1 is the domain of the function sin ^-1 x.

Following are the functions of a supervisor: 

a. Supervisor maintains day-to-day contact and maintains friendly relations with workers. 

b. Supervisor acts as a link between management and workers. 

c. Supervisor plays a key role in maintaining group unity among workers placed under his control. 

d. Supervisor ensures performance of work according to the targets set. 

e. Supervisor provides good on-the-job training to the workers and employees. 

f. Supervisory leadership plays a key role in influencing the workers in the organization. 

g. A good supervisor analyses the work performed and gives feedback to the workers. 

Right to be heard. 

Decisions Shyam should take to ensure low investment in fixed capital requirement with respect to: 

a. Nature of Business: Instead of setting up a manufacturing unit, Shyam should start a trading concern of buying handicrafts from the craftsmen and selling them. 

b. Scale of operations: Shyam should keep the scale of his organization small. 

c. Financing alternatives: A developed financial market may provide for leasing facilities. So instead of making outright purchase of assets, for example of office space, Shyam should take them on lease and reduce his requirement of fixed capital. 

 The following function was performed by SEBI- Calling for information by undertaking inspection, conducting enquiries and audits of stock exchanges and intermediaries. – Regulatory Function. 

SEBI performed regulatory function by calling for information by undertaking inspection, conducting enquiries and audit.

a. It would be in the best interest of the organization if the existence of such groups is recognized and the roles that their members play are identified. 

b. The knowledge of such groups can be used to gather their support and consequently lead to improved organizational performance. Such groups can also provide useful communication channels. 

c. Instead of confronting them, the management should take skillfully take advantage of both formal and informal organization so that work continues smoothly. 

Right to be heard.

As the Human Resources manager of the company, I would advise the management to confront informal groups : 

1. It would be in the best interest of the organisation if the existence of such groups is recognised and the roles that their members play are identified. 

2. The knowledge of such groups can be used to gather their support and consequently lead to improved organisational performance. Such groups can also provide useful communication channels. 

3. Instead of confronting them, the management should take skillfully advantage of both formal and informal organisation so that work continues smoothly

The remedy was found by developing polyblend, which is a fine powder of recycled modified plastic. Polyblend is mixed with bitumen to lay roads. This enhanced the water repellent property of bitumen and enhanced the life of roads. 

Total number of possible events = Total number of balls 

= 2 + 3 + 1 = 6. 

Number of favourable outcomes = Number of black balls 

= 0 P(Black ball) = 0/6 = 0 

Zero black balls.

∵ (x – a) + (x – b) + (x – c) 

= 3x – (a + b + c) = 0 [ ∴ a + b + c = 3x] 

∴ (x – a)³ + (x – b)³ + (x – c)³ – 3(x – a) (x – b) (x – c) 

= 0 [ ∴ a + b + c = 0 => a³ + b³ + c³ – 3abc = 0]

Let the first angles be x°. 

Second angle = (x + 34)° 

∴ x° + (x + 34)° = 180° 

=> 2x + 34° = 180° 

2x = 180° – 34° 

=> 2x = 146° 

x = 73° 

The first angle = 73° 

Second angle = 73° + 34° = 107°.

Manuscripts were documents or books written by hand.
They were not used widely because :
(i) They could not satisfy the ever-increasing demand for books.
(ii) They were expensive as copying was an expensive, laborious and time-consuming business.
(iii) Manuscripts were fragile, awkward to handle and could not be carried around or read easily.
(iv) Their circulation was limited.

The three steps to achieve the aim to exploit natural resources of Vietnam were :
(i) The French began building canals and draining lands in the Mekong Delta to increase cultivation. As a result of irrigation works, the rice production increased. Vietnam became the third largest exporter of rice in the world.
(ii) Trans Indo-China rail network was constructed. It linked the northern and southern parts of Vietnam and China.

(iii) Another line linking Vietnam to Siam (Thailand), via the Cambodian capital Phnom Penh was also built.
(iv) To ensure higher level of profits, French pressurized the government to develop infrastructure

Manuscripts were documents or books written by hand. 

Limitations of manuscripts during the nineteenth century. 

(i) They could not satisfy the ever increasing demand for books. 

(ii) They were expensive as copying was an expensive, laborious and time consuming business. 

(iii) Manuscripts were fragile, awkward to handle and could not be carried around or read easily. 

(iv) Their circulation was limited

Land routes have an important part of the economic and cultural dynamics in India since ancient times.

The three main contributions of land routes are:

1. Trade flourished through the land trade routes. The Silk route passing through the Himalayas is an excellent example.

2. Land routes enabled the expansion of scientific knowledge; important breakthroughs in science, technology, and mathematics were communicated to far across lands through ancient routes.

3. The land routes also helped in the understanding of the cultures and traditions of other nations across the world.

Attitude and behaviour are consistent when 

• the attitude is strong, and occupies a central place in the attitude system, 

• the person is aware of her/his attitude, 

• there is very little or no external pressure for the person to behave in a particular way. For example, when there is no group pressure to follow a particular norm, 

• the person’s behaviour is not being watched or evaluated by others, and 

• the person thinks that the behaviour would have a positive consequence, and therefore, intends to engage in that behaviour. 

• when behaviour decides the attitude. For example, when somebody indulges in a behaviour, it may lead to change in attitude.

• Social facilitation implies that individuals show better and improved performance in the presence of others, than when they are performing the same task alone. 
• Example of social facilitation 
• Reasons for social facilitation 

- arousal 

- evaluation apprehension 

- nature of the task- simple or complex 

- co -action

Sperms contain either X or Y chromosome whereas an egg will always have X chromosome only.

The overall range of the voltage is from 0 to 1.5 V and that of current is from 0 to 1.5/3A = 0.5 A. We, therefore, prefer instruments that cover these ranges and also have a better least count.

When the colourless gas was tested with a burning matchstick, the matchstick extinguished and the gas burnt with a pop sound. This is because when zinc granules are added to dilute HCl, hydrogen gas is evolved.

Al displaces Fe from FeSO₄ and forms Al₂(SO₄)₃ which is colourless. The lower end of the test tube becomes warm.

(a) large scissors- for cutting fabric

(b) small scissors- for clipping threads

(c) seam ripper- opening any seams or stitches

Blueprint on the basis of which the fabric is cut.

Share of profit a acquired by Chaman from Aman = 1/6 x 2/5 = 2/30

Therefore, share of profit acquired by Chaman from Beena = 1/6 – 2/30 = 3/30 = 1/ 10

                  OR

Share of profit acquired by Chaman from Beena  = 3/5 x 1/6 = 3/30 = 1/10

Detailed Answer :

Old Ratio of Amit and Beena = 3/4 and 1/4

Share of Chaman = 1/6

The part he got from Amit = 2/5 of 1/6 = 2/5 x 1/6  = 2/30 = 1/15

Remaining part he got from Beena  = 1/6 -1/15  = 5- 2/30 = 3/30 = 1/10th  part

Mara worried when he saw the lake about to break — ran to the king to inform about the Goddess's wish — told him that Goddess will start destruction only after his return — asked the king to cut his head so that he will never return — saved the state and the people.

Detailed Answer : 

Mara, the watchman of the lake, got worried when he saw the lake was about to smash its bounds. Immediately, in the terrible night of storm, he ran to the king to inform him about the Goddess's wish. He told the king that Goddess would start destruction only after his return. To save the kingdom and his fellow beings, he asked the king to cut his head so that he would never return, hence could save the kingdom. Such was Mara's sacrifice to save the state and its people.

To part children from their mothers at a very early stage.

Correct option (b) children.

(1) Formation: ‘He has got his company registered under Companies act, 2013.’ 

(2) Separate Legal Entity:’ From the day of its registration, it acquired an identity separate from its members.’ 

(3) Control:’ The Board of directors of the company appointed top officials for running the business.’ 

The model described the atom as a tiny, dense, positively charged core called a nucleus, in which nearly all the mass is concentrated, around which the light, negative constituents, called electrons, circulate at some distance, much like planets revolving around the Sun.

1.

Energy present in Grass = 20000J

Justification: According to the ten percent law of energy in a food chain, only ten percent of energy is transferred to the next trophic level. Thus, the energy keeps on decreasing by 10% at each level.

If, Energy available to grass = 20000J

Energy available to grass hopper = 10% of 20000 = 2000J

Energy available to frog = 10% of 2000 = 200J

Energy available to snake = 10% of 200 = 20J

And Energy available to peacock = 10% of 20 = 2J

Hence, justified

(i) Maximum – When the conductor is placed perpendicular to the magnetic field.

(ii) Minimum – When the conductor is placed parallel to the magnetic field.

maximum 

i option is correct

Letter Writing

For format

For content 

For expression 

No mark for mere format.

Detailed Answer :

Ramya K.

# 27, I Cross

Chennai

2 March, 2018

Dear Reetha

I am glad to inform you that we are going to shift permanently to Chennai. After my exams, I want to do a computer course. Please suggest me the best computer teaching centre. Also provide me the list of different courses available of the course. Being an old resident of the area and my best friend, you are the best person to provide me this valuable information. Waiting eagerly for your reply. Yours lovingly, Ramya K.

Award marks for each meaningful dialogue.

Detailed Answer :

Dialogue Writing : Dialogue should be meaningful and should contain at least three meaningful dialogues.

Detailed Answer :

Traffic Policeman : Stop ! Stop ! Show me your driving licence and other documents of your bike.

Rider : Sorry Sir. I don't have all these.

T. Policemen : How old are you .

Rider : I am seventeen years old.

T. Policemen : So you are an underage rider. You will have to pay fine.

Rider : Sir, please forgive me this time. This mistake will never be repeated.

(i) The origin of the game has been Derived from old, widespread and uncomplicated pastime in which one player served up an object, be it a small piece of word or a ball and another hit with a suitably fashioned club. 

(ii) The oldest set of cricket laws date from 1744- printed on a handkerchief, naturally. It's now in the MCC Museum at Lord's in London. 

(iii) Eton v Harrow 

(iv) 1877 

(v) England and Australia 

(vi) Australia's first win on English soil in 1882 at the Oval in London led to matches between the two nations being christened the Ashes. 

(vii) ODI 

(viii) 5th January, 1971. 

(ix) Gruelling

(i) Cooperation 

(ii) Social respect and feeling of gratitude 

(iii) Make them empowered in all respect. (Women Empowerment)

Capital Receipt is the amount received by the business on account of capital, loans or sale proceeds of fixed assets.They are not revenue for business. Revenue Receipt is the amount received by the business in regular course of business, for eg sale of goods and/or services. They are revenue for business.  

Hypodermic theory and Two-step flow theory saw the audience as passive. They assumed that the content of the media has some effect on the audience members and the researchers spent their time trying to locate and measure those effects. However, rarely substantial effects were found, perhaps because the model for the audience was too simplistic. In these models latter following the gratification approach, the audience is active. Audience members are seen as consumers of a media product, Instead of asking.

The answer should have a good introduction, body and conclusion. The student can write an answer on the lines of the following-

Cinema is a recording medium. When a writer writes a scene, he does describe in all details as we have seen in case of great novelists like Gorky and Dostoevsky. But that entire experience is received in verbal form by the reader. In cinema, a scene is realized on the screen by various means. A scene will have a setting- like an interior/exterior of the house, building, park, pasture, etc. Thus architecture comes into play. 

The scene will be shot at a certain time of the day/night, in a certain season, will have appropriate lighting, objects, colours, forms, textures; so, elements of painting and sculpture are in operation. The scene will have the presence of actors in their costumes, speech and interrelationships; hence the most vital element of theatre is present. Music and atmospheric sounds form an important part of the film language. Language is present in spoken form as well written form. Thus we are always dealing with a composite language, when we are dealing with cinema. 

(c) Both are capital receipts

Tax is not a capital receipt because it neither leads to creation of liability nor to reduction in assets. In fact, a tax is a revenue receipt. 

Receipts from taxes are categorized as revenue receipts because they do not create liabilities nor reduction in assets.