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 Japan the land of rising sun.

1. (c) twisting

2. (a) seize quickly

3. (b) order

4. (c) eagerly

5. (a) persude

Given:

The least perfect square, which is divisible by 21, 36 and 66

Concept used:

A number which is divisible by 21, 36, and 66 will be the LCM of these numbers

Calculation:

Prime factorization of 21 = 3 × 7

Prime factorization of 36 = 2 × 2 × 3 × 3 or 2² × 3²

Prime factorization of 66 = 2 × 3 × 11

Maximum of all the prime exponents that exist in the numbers above will be

LCM = 2² × 3² × 7 × 11

⇒ The least number which is divisible by 21,36, and 66 is 22 × 32 × 7 × 11

In a perfect square, always exponent of each prime is always even, so 

In order to find the least perfect square, we will make each exponent even

⇒ 2² × 3² × 7² × 11² = 213444

∴ The least perfect square which is divisible by 21, 36, and 66 is 213444.

Given:

(i) Ratio of daughter and mother’s age = 4 : 7

(ii) Product of their ages = 1792

Calculations:

⇒ let the present age of daughter be 4x.

⇒ let the present age of mother be 7x.

⇒ Product of their ages = 1792

⇒ 4x × 7x = 1792

⇒ 28x² = 1792

⇒ x²= 1792/28

⇒ x² = 64

⇒ x = 8

Required Ratio:

⇒ (7x + 7) : (4x + 7)

⇒ (56 + 7) : (32 + 7)

⇒ 63 : 39

⇒ 21 : 13.

Given:

Total Money = Rs. 1500

Total number of ten and twenty rupee note = 42

The ratio of ten rupees and twenty rupees = 19 : 23

Calculation:

Amount By ten-rupee note = 19 × 10 = 190

Amount By twenty rupee note = 23 × 20 = 460

Amount by ten and twenty rupee note

⇒ 190 + 460

⇒ 650

Left amount = 1500 - 650 = 850

Fifty rupee note

⇒ 850/50

⇒ 17

∴ The number of fifty rupee note is 17.

Solution:

For an m×n chessboard there are 2^m+2ⁿ−2 ways.

Case I. There are two horizontally adjacent squares of the same color: 2^m−2 ways.

Case II. There are two vertically adjacent squares of the same color: 2ⁿ−2 ways.

Case III. None of the above: 2 ways.

Hint for Case I: There are 2^m−2 ways to color one row so that two adjacent squares have the same color. 

The rest of the coloring is determined from that; colors must alternate in each column. (Note, therefore, that Cases I and II do not overlap.)

 (c) Principal value branch of cos^–1(x) = [0, π]

(D) None of these

correct option:

(B) 2 sinx + c

Sources of heat energy for domestic and industrial purposes are petrol.

The answer is (1) 1, 0.5

According to the given data of I.E, This element must belong to group 1 and thus is monovalent & form hydroxide of the type M(OH).

MOH + HCl→MCl + H₂O

1 mole 1 mole

2MOH + H₂SO₄→ M₂SO₄ + H₂O

1 mole 1/2 mole.

Noble gases: Ioniation energy ranging from 2372 KJ mol^-1 to 1037 kJ mol^-1 . 

For element X, the IE₁, value is in the range of noble gas, moreover for this element both IE₁ and IE₂ are higher and hence X is the noble gas.

For Y, the first ionisation energy is low and second ionisation energy is very high and hence Y is most reactive metal.

For Z, both IE₁ and IE₂ are higher and hence it is least reactive.

a) incomplete combustion of fuels

A liquid fuel used in homes LPG.

Concepts:

Points to be considered while estimating the electrical equipment total cost:

• Create your own estimate
• Review the specification
• Review the drawing
• Perform a quantity takeoff
• Request supplier quotes

Statement D is not correct, while the remaining statements are correct.

Hence, option 3 is correct.

This can not be used for fires involving electrical equipments Water.

Correct option is (a) solid

A cleaner fuel for automobiles CNG.

The unit of calorific value is  kJ/kg.

A very poisonous gas Carbon monoxide.

0REFUSE

To create a sustainable environment, we must first 0REFUSE to use products that may harm the environment. Identify the process of 4R’s, which is applicable here.

Global warming is a result of increased CO₂.

Correct option is A) frustration

Correct option is B) a drought should occur

Correct option is B) only when it

When two or more goods are demanded jointly to satisfy a single want, it is known as joint or complementary demand.

The following are the reasons for water scarcity in India.

•  Increased demand for water: The growing population needs more water for domestic purposes and to produce more food. 
• Agricultural purposes: For agricultural purposes, water resources are being over-exploited. More food needs to be grown for the increasing population.  
• Intensive industrialisation and urbanisation: The increasing number of industries ‘ need more water and power to run the machinery. Hydroelectric power contributes twenty-two per cent of the electricity produced. The urban centres with large population and modern lifestyles have added to the problem of water scarcity. 
• Over-exploitation of water resources: In some cities, housing societies have their own groundwater pumping devices to meet their needs. This has caused the depletion of water resources in several areas. 
• Bad quality of water: The water is getting polluted by domestic and industrial wastes, chemical pesticides and fertilizers.

Money acts as an intermediary in the exchange process, thus it is called a medium of exchange.

The government announces the minimum support price and procurement price to save the farmers from exploitation by speculators and middlemen. Procurement price is the price at which the government actually buys the produce from the farmers. At the beginning of the growing season, the government announces the minimum support price and if the farmers do not get that price from the middlemen, the produce is purchased by the government

Correct option: 1.The sale of Goods Act

The benefits that local companies can get are: 

(a) MNCs can provide money for additional investment like buying latest and new machines for faster production. 

(b) MNCs might bring the latest technology of production with them.

Yes, it is possible that an area or region may have ample water resources but still faces water scarcity mainly due to the following reasons. 

(a) Many cities in India are facing this problem because of large and growing population, the increasing demand for water and unequal access to it. More water is needed for domestic purposes.

(b) Water resources are exploited to irrigate agricultural areas. Due to expansion of agriculture to feed the growing population and to get higher food production, farmers have wells and tube wells in their farms to irrigate their fields and to increase their produce. As a result the underground water levels are falling tremendously and affecting water availability and food security. 

(c) Intensive industrialization and urbanization has led to more demand for water. Industries exert pressure on fresh water resources. Industries also need power to run them. Hydroelectric energy provides most of the power. Today hydroelectric power contributes about 22 per cent of the total electricity produced.

• The Act ensures that the prescribed conditions of sale are met while purchasing products. 
• Violation of guarantee, warranty and after sale services come under this Act. 

The fulfillment of consumer’s needs through the consumption of goods and services is called consumer satisfaction.

• Bureau of Indian Standards (BIS) gives ISI symbol to ensure a fixed quality of products. 
• ISI symbol can be seen in products such as electrical appliances, cement, paper, paint, gas cylinder, etc. 

The telophase.

The scope of consumer protection act has widened with the amendment in 2003, wherein the use of good by a person exclusively for the purpose of earning his livelihood, by the means of self employment is recognised as a consumer.

• Get goods at reasonable/fair price 
• Quality 
• Reliability 
• After sale services

1. Quality 

2. Reliability

3. Fair price 

4. After-sale service

Consumption is the satisfaction of human wants using goods and services.

Consumer courts play an important role in ensuring justice to the consumers.

3. (Leptin – Diabetis).