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αv is also a characteristic of the sublstance but is not strictly a constant .it depends in general on temp. but it is observed that αv becomes constant only at high temp.if  we see then we observe that thermal expansion is small with materials like pyrex glass and invar with paticular low values of volume expansion.

Solution:

Let x/(x²-5x+9) = y
=> yx² - (5y+1)x + 9y = 0.
For x to be real, discriminant ≥ 0
=> (5y+1)² - 36y² ≥ 0
=> 11y² - 10y - 1 ≤ 0
=> (11y + 1)(y-1) ≤ 0
=> -1/11 ≤ y ≤ 1

Remember: If (x-a)(x-b) ≤ 0, where b>a, then a ≤ x ≤ b.

Solution:

(x+1)⁶ = x⁶+⁶C₁ x⁵.1+ ⁶C₂ x⁴.1²+⁶C₃ x³.1³+⁶C₄ x².1⁴+⁶C₅ x¹ .1⁵+⁶C₆.x⁰.1⁶

⇒x⁶+6x⁵+15x⁴+20x³+15x²+6x+1 -----(1)

(x−1)⁶=x⁶+⁶C₁ x⁵.(−1)+⁶C₂ x⁴.(−1)²+⁶C₃ x³.(−1)³+⁶C₄ x².(−1)⁴+⁶C₅ x¹.(−1)⁵+⁶C₆.x⁰.(−1)⁶

⇒x⁶−6x⁵+15x⁴−20x³+15x²−6x+1 -----(2)

Adding (1) and (2)

(x+1)⁶+(x−1)⁶ = 2[x⁶+15x⁴+15x²+1]

Putting x=2–√x=2

(2–√+1)⁶+(2–√−1)⁶ = 2[(2–√)⁶+15(2–√)⁴+15(2–√)²+1]

⇒2[8+60+30+1]

⇒2[99]

⇒198

OPTION 3

No. of cows= c

No. of hens= h

c+ h= 29   [Eq.1]

4c + 2h = 92

Therefore, 2c+ h= 46  [Eq. 2]

Solving these equations:

c=17

Hence, he has 17 cows.

Given:

63606

Concept used:

Place Value: It is the position of the digit. For example, in the digit 789, 9 is at the unit place, 8 is at the ten's place and 7 is at the 100's place. It means that we can write 789 = 700 + 80 + 9

Calculation:

Our number is 63606

The place value of first 6 in 63606 = 6

The place value of second 6 in 63606 = 6 × 100 = 600

The place value of third 6 in 63606 = 6 × 10000 = 60000

Sum = 6 + 600 + 60000 = 60606

Solution:

Given number = 5671

Reversed number = 1765

Difference = 5671 - 1765 = 3906

Concept used:

A Predecessor is a number that comes before the given numbers

A Successor is a number that comes after the given numbers

Calculation:

Predecessor of predecessor of 1000 is 998 not 999

1st option is not correct

Successor of predecessor of 1000 is 1000 not 1001

2nd option and 3rd option are also not correct

A predecessor of the successor of 1000 is 1000

∴ option (4) is correct.

Given:

Total number of toys in the shop = 239 

Toys bought = 70

Total number of toys sold = 152

Calculation:

Total number of toys left = Total number of toys in the shop + Toys bought - Total number of toys sold

⇒ 239 + 70 - 152

Let the side length of square is a cm.

Given that the area of square is 121 cm².

Therefore, a² = 121

⇒ a = 11 cm.

Since, the same wire is bent in the form of circle.

∴ The circumference of the circle is equal to the perimeter of the square.

Hence, 2\(\pi r\) = 4a = 4× 11 = 44 cm.

⇒ r = \(\frac{44}{2\pi}=\frac{44}{2\times{\frac{22}{7}}}\) = 7cm.

Hence, the radius of the circle is r = 7cm.

Now, the area of the circle = \(\pi r\)² = \(\frac{22}{7}\times7^2\) = 22 × 7 = 154 cm².

Hence, the area of the circle is 154 cm².

Given:

19 thousand + 19 hundred + 19 ones

Calculations:

According to the question, we have

19 thousand + 19 hundred + 19 ones

⇒ 19(1000) + 19(100) + 19(1) 

⇒ 19000 + 1900 + 19

⇒ 20919

∴ The sum of 19 thousand + 19 hundred + 19 ones is equal to 20919.

(1) Transfer printing: In this indirect style of printing, dyes are transferred from paper to a thermoplastic fabric under controlled conditions of temperature, time and pressure. The image is first engraved on a copper plate and then pigment is applied on these plates. The image is then transferred to a piece of paper. The paper is then placed on the fabric and heat pressure is applied to fix the image on the fabric.

Advantage:

• Simple operation 
• No after treatment of fabric required 
• Excellent print quality 
• Excellent design possibility

(2) Roller printing: In this method engraved copper cylinders or rollers are used in place of hand carved blocks. The required designs are engraved on the surface of copper roller, to which dye is applied and excess colour is scraped off the roller’s surface, leaving dye in the engraved sections. When rollers come in contact with a fabric, the dye on the roller gets transferred to the fabric surface.

Advantage:

• Large quantity of fabric can be produced using this method of printing. 
• Due to precision achieved in aligning the roller, repeats marks are not visible and hence clear designs are achieved.

The motifs in folkloric prints include forms of plants, flowers, birds, animals, human figures, scenic and geometric patterns, stylized according to the specific culture. Traditional techniques specific to some cultures are block printing, stenciling, batik, and tie and dye etc.

Correct Answer is Aadhaar

The correct answer is Rigveda.

• Vedas 
  • The Vedas are the earliest surviving literature of the Indian subcontinent.
  • There are four Vedas: the Rig Veda, the Sama Veda, the Yajur Veda, and the Atharva Veda.
  • Of these, the Rig Veda is the oldest and was composed about 3500 years ago. Hence, Option 2 is correct.
  • All the other Vedas are based upon it and consist to a large degree of various hymns from it.
  • It consists of a thousand such hymns of different seers, each hymn averaging around ten verses.
  • The Rig Veda is also the oldest book in Sanskrit or any Indo-European language. 

• Rigveda:
  • The oldest Veda is the Rigveda. It has 1028 hymns called ‘Suktas’ and is a collection of 10 books called ‘Mandalas.’ 
  • It is the oldest form of Veda and the oldest known Vedic Sanskrit text(1800 – 1100 BCE)
  • The meaning of the word ‘Rigveda’ is Praise Knowledge
  • It has 10600 verses
  • The meters used to form hymns are Gayatri, Anushtubh, Trishtubh, and Jagati (Trishtubh and Gayatri are most important)
• Samaveda:
  • Known as the Veda of melodies and chants, Samaveda dates back to 1200-800 BCE. This Veda is related to public worship. 
  • There are 1549 verses (except 75 verses, all have been taken from Rigveda)
  • There are two Upanishads embedded in Samaveda – Chandogya Upanishad and Kena Upanishad
  • The Samaveda is considered the root of Indian classical music and dance
  • It is considered as the storehouse of the melodious chants
• Yajurveda:
  • Stands to mean ‘Worship Knowledge’, Yajurveda dates back to 1100-800 BCE; corresponding with Samaveda. It compiles ritual-offering mantras/chants. These chants were offered by the priest alongside a person who used to perform a ritual (in most cases yajna fire.)
  • It has two types – Krishna (Black/Dark) & Shukla (White/Bright)
  • Krishna Yajurveda has an un-arranged, unclear, motley collection of verses
  • Shukla Yajurveda has arranged and clear verses
• Atharvaveda:
  • Stands to mean a tatpurusha compound of Atharvan, an ancient sage, and knowledge (atharvan+knowledge), it dates back to 1000-800 BCE.
  • The daily procedures of life are very well enumerated in this Veda
  • It has 730 hymns/suktas, 6000 mantras, and 20 books
  • Paippalada and the Saunakiya are two surviving recensions of Atharvaveda
  • Called a Veda of magical formulas, it includes three primary Upanishads – Mundaka Upanishad, the Mandukya Upanishad, and the Prashna Upanishad

Cleaning chemicals often are hazardous and can be identified as such from the Label.

Store layout and store design plays an important role in defining the store image.

Correct option: d) Both a and c

Motif in a motif print is simply repeated to create a pattern or design. Motif prints have a very graphic and illustrative look. Motif prints are used in aprons, dining table covers, napkins, kid’s clothing’s & cushion covers etc.

The success of a retail store is influenced by its layout design and the Ambience created by the retailers.

Correct option: b) Hoover the floor

Design: - Design can be define as relating and visually arranging components or element to create effects.

Arts:- The activity or skill of producing thing such as painting, designs etc.

The importance of screen prints is as below:

(a) Adaptable to all woven and knits. 

(b) Rapid change over of designs possible. 

(c) Better color definition. 

(d) Ability to print cut garment parts.

Equipment should not be placed where it could easily fall or be pulled off the counter True.

b) Computerized Maintenance Management System

CMMS stands for Computerized Maintenance Management System.

The seven C’s are: 

1. Contract: the e-marketers first goal is to communicate a core promise for a truly distinctive value proposition appealing to the target customers. 

2. Content: refers to whatever appears on the website itself and on hot linked websites. 

3. Construction: the promises made by the e- marketers are not unique to the internet but the medium’s interactive capabilities make it easier for them to deliver on their promises quickly. 

4. Community: through site- to- user and user- to user forms of interactivity e-marketers can develop a core of dedicated customers who became avid marketers of the site too. 

5. Concentration: targeting through online behavioral profiling. 

6. Convergence: rich media brought on by broadband will allow advertisers much greater creativity by bringing in new types of advertising to the internet as well as enhancing some traditional forms. 

7. Commerce: it includes offering goods and services directly or marketing those of another company.

Correct answer is

d) Circle

Effective Housekeeping can eliminate some work place hazards.

World of Extremes

The retail market place is polarizing into a World of Extremes forcing retailers to reorient their core strategies. (world of dreams/ world of extremes).

The store layout tells a customer what the store is all about .It is very strong tool to create store image in the mind of the customers .It is defined as a physical location of various units of the stores that facilitate shoppers. It is a plan to make effective use of space .It takes into account flow pattern ,display of merchandise, permanent structures like aisles and fixtures.

There are six types of rights of merchandising : 

• Type
• Quality 
• Price 
• Quantity 
• Time 
• Place

Some of the key factors of retail billing are: 

• Provisions to capture additional information in invoice helps better tracking in cases of home delivery. 
• Support Exchange features which allows settings of multiple exchange prices can be defined for the same product base on conditions. 
• Swipe card readers interface to reduce credit /debit card tender times

A good RIs system does real time collection of data and organizes it in a way which is useful at several levels:

1. It also ensures the integration of retail management plan. 

2. It supports the supply chain and thus helps in avoiding stock out situations. 

3. It helps in customer satisfaction through smooth functioning. 

4. It helps in collecting the raw data and converting it into usable information. 

5. This decreases the response time to customers requests. 

6. It helps in supporting strategic decision like customer loyalty programs.

The principles are: 

1. Excellent local knowledge of the regions 

2. Professional guarantees 

3. Information about type of event

4. Advice and booking 

5. Booking of entertainment places. 

6. Hotel information 

7. Sports and recreational activities

a) Sales Potential

‘ABC Analysis’ is a technique of evaluating Sales Potential.

Private security generally covers security of Personnel, Property and Information.

Procedure :

a) The aggrieved party has to move the tribunal within a period of six months from the date of accident for filling the claim. 

b) On receipt of notice of claim from the insured, or the third party or from the MACT, the matter is entrusted to an advocate 

c) Full information relating to the accident is obtained from the insured 

d) The various documents are collected. 

e) A written statement is then filed on the facts of the case with the MACT by the advocate

Visual merchandising, briefly defined , is the presentation of a store and its merchandise in ways that will attract the attention of potential customers and motivate them to make purchases. The role of the visual merchandiser in this effort is to carry out the merchandising concepts as formulated by the management. These merchandising plans include what items are to be featured and in which locations they should be placed. The visual merchandiser is guided by these decisions and using all of his or her creative talents, sets out to present the best possible visual effects.

Correct answer is d. Spine layout

The tips are: 

1. Select advertisement and a promotion that fits for the event . 

2. Maintain a diary of all planned and actual promotional events. 

3. Don’t forget to include local community events in the planning. 

4. Try to schedule events 3-6 months in advance to create an effective promotion. 

5. Create a folder and file for each event to maintain records. 

6. Review the final results. 

7. Increase your open to buy and purchase extra inventory for special events.

The components are: 

1. Back office server- it is the brain, it is a main part of computer where pertinent company information, such as prices and sales reports are stored. 

2. Monitors: they are essential POS component. It is the screen where sales staff views sales information as a transaction is in progress. 

3. Bar code scanner: it retrieves, coded pricing information using a laser beam for various items. 

4. Cash drawer: POS system have electronic cash drawers. 

5. Keyboards: it is used with back office server. 

6. Printer: one small printer is added to POS system. It is used for printing sales reports. 

7. Magnetic stripe readers: they are used to capture credit cards or debit cards

The Merchandiser is responsible for particular lines of stock.

reusing some components of the waste that may have some economic value