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(i)Let m be the number of Parmit’s marbles. 

\5m + 7 = 37 

(ii) Let the age of Laxmi be y years. 

\3 y + 4 = 49 

(iii) Let the lowest score be l. 

\2l + 7 = 87 

(iv) Let the base angle of the isosceles triangle be b, so vertex angle = 2b. 

\2b + b + b = 180° 

⇒ 4b = 180° [Angle sum property of a trangle ]

                    A Terrible Collision 

Night before the zonal debate competition, I was practicing my part till late night. Everyone was fast asleep. Even I was planning to go to sleep. Suddenly, there was a loud crash. I jumped out of my bed and rushed out to see the cause of that sound. The sight outside was ghastly. Two cars had collided with each other because of the dense fog. The occupants of both the cars were screaming and shouting for help. Other people had also come out of their houses after hearing the sound. In a flash of second, everyone started helping the injured. There were four young men in one car who were returning after attending a party while a family was there in the other car. The drivers of both the cars were badly injured. I called up the ambulance service and the police as well. Within no time, the ambulance reached there. It was a tough job taking the passengers out of the front seat as they had got stuck in their seats due to the collision. Many helping hands came forward and finally all the passengers from both cars were taken out. They were taken to a nearby hospital. Two people had not received serious injuries so they were asked to inform their family members about the accident. One man from the crowd informed the authorities to send a crane as the cars had blocked the road as well. It took almost one hour for all this. Then I went inside but I could not practice any more due to the terrible scenes flashing in my mind. The only good thing was that nobody had lost his or her life and all were safe.

Beneficial:

(i) Influence of religion can make politics value based.

(ii) Religious communities can politically express their needs and interests.

(iii) Political authorities can monitor and control religious discrimination and oppression.

Problematic:

(i) Religion can become the base for the development of nationalist sentiments which can lead to conflicts.

(ii) Political parties will try to make political gains by pitting one group against the other.

(iii) State power may be used to establish the domination of one religious group over another.

(a) The literacy rate among women is only 54 per cent compared with 76 percent among men. Similarly, a smaller proportion of girl students go for higher studies. Many of them drop out because parents prefer to spend their resources for their boys' education. 

(b) The proportion of women among the highly paid and valued jobs is still very small. On an average an Indian woman works one hour more than an average man every day. Yet much of her work is not paid and therefore often not valued. 

(c) The Equal Wages Act provides that equal wages should be paid to equal work. However, in almost all areas of work, from sports and cinema, to factories and fields, women are paid less than men, even when both do exactly the same work. 

(d) In many parts of India, parents prefer to have sons and find ways to have the girl child aborted before she is born. Such sex-selective abortion led to a decline in child sex ratio. 

(e) They are not safe even within their own home from beating, harassment and other forms of domestic violence.

prepaid expense is Current asset

5x (x+2) = 3

5x² + 10x - 3 = 0

D = b² - 4ac

= 100 - 4(5)(-3)

= 100+60

= 160

x = (-b ± √D)/2a

x = (-10 ± √160)/10

x = (-10 ± 12.64)/10

x = (-10 + 12.64)/10 or (-10 - 12.64)/10

x = 2.64/10 or -22.64/10

x = 0.26 or x = -2.26

Tan (A+B-C) = 1

Tan 45° = 1

Hence, A+B-C = 45° ........(i)

Sec (B+C-A) = 2

Sec 60° = 2

Hence, B+C-A = 60° .......(ii)

Adding equation (i) and (ii), we get,

A+B-C + B+C-A = 45° + 60°

2B = 105°

B = 52.5°

Hence, A+B-C = 45°

A+52.5° -C = 45°

A-C = 45° - 52.5°

A-C = -7.5° ............(iii)

Now,

A+B+C = 180°

Hence,

A + 52.5° +  C = 180° (Angles of the triangle)

A + C = 180° - 52.5°

A + C = 127.5° .........(iv)

Now, Adding equation (iii) and (iv), we get,

A-C + A + C = -7.5° + 127.5°

2A = 120°

A = 120°/2

A = 60°

C = 127.5° - 60°

C = 67.5°

Hence,

A = 60°, B = 52.5° and C = 67.5°.

If we are left with reminder 5 and 8 while dividing 70 and 125. 
Then we can conclude that 70 - 5 = 65 & 125 - 8 =117 are divisible by the number.

As we have to find the maximum number so we will find HCF b/w the two.

∴ Required number = HCF (65, 117) 

We know, 

65 = 13 × 5 

117 = 13 × 3 × 3 

∴ HCF = 13

The required number = 13

Anode mud is a mixture of Ag, Au, Pt. On electrolytic rening of  less reactive metals, the heavy impurities get deposited as insoluble mass near the anode called Anode mud.

Financial Planning: Financial planning refers to the planning regarding financial needs of the enterprise, various sources of raising funds and their optimum utilisation.

Objectives of financial planning:

(i) To ensure availability of adequate funds at the right time: This includes a proper estimation of funds required for different purposes such as for the purchase of long-term assets or to meet day-to-day expenses of business. Apart from this, it is essential to estimate the time at which the funds are to be made available. Based on these facts, funds could be raised from short-term and long, term sources.

(ii) To see that the firm does not rase resources unnecessarily: Excess funding is almost as bad as inadequate funding. So, the financial manager must see to it that the company does not raise more capital than the requirement of the business. In case there is surplus cash or liquidity, the excess funds should be utilized judiciously.

The investor could not invest in the Treasury Bills because treasury bills can be issued for a minimum amount of ₹25,000 and its multiples thereof.

The investor could not invest in the Treasury Bills as they can be issued for a minimum amount of Rs.25,000 and its multiples thereof.

As treasury bills are available for minimum amount of Rs.25000 and in multiples there of

Availability of raw material.

(a) Setting objectives. (b) Developing Premises.

"Coordination is an orderly arrangement of group efforts to provide unity of actions to pursue a common purposes".

Four characteristics of co-ordination are as follows:

(i) Coordination integrates group efforts: The need for co-ordination is felt when group effort is needed for the accomplishment of the objectives. In short, it can be said that co-ordination is related to group and not to individual efforts. The question of coordination does not arise if the entire job in done by a single person only.

(ii) Co-ordination ensures unity of action: The nature of coordination is of creating unity of action. It means that by using co-ordination process, an effort is made to create unity among the various activities of an organisation, for e.g., the purchase and sales departments have to coordinate their efforts so that the supply of goods takes place according to purchase order.

(iii) Co-ordination is a continuous process: It is not a job which can be performed once and for all, but its need is felt at every step. Many activities are performed in a business today and tomorrow. If any one activity goes on fluctuating either for more or less than required, the balance of the whole organisation disturbs. Thus, a close watch has to be kept on all the activities to maintain the balance.

(iv) Co-ordination is all pervasive function: Co-ordination is required in all the organisations in all the departments, by all the levels of management and at all the times. In other words, pervasiveness means applicability to all spheres and places uniformly.

(v) Deliberate or Conscious activity: Co-ordination is a consciously planned managerial activity. Every manager has to take deliberate actions to achieve co-ordination. In other words, co-ordination does not occur automatically, adequate measures have to be taken to achieve co-ordination.

(a) Responsibility which Sumit had to fulfil as an aware consumer -'learn about the risk associated, to follow the manufactures instructions and to use the product safely'.

(b) Two rights which Sumit could have exercised:

(1) Right to seek redressal: A consumer has the right to seek redressal and to get compensation in case of any exploitation. The Consumer Protection Act provides for compensation in the from of replacement of product, cash compensation, repair/removal of defects, etc.

(2) Right to be Heard:

(i) The consumer has right to file a complaint and to be heard in case of dissatisfaction with a product or a service.

(ii) It is because of this reason, many firms have set up their own consumer service and grievance cells.

Option A - rate of interest 9% is better as it is lesser than ROI which ranges between 10 - 12%. The concept being used in taking the decision is 'Trading on equity' under capital structure which says that if the cost of debt is cheaper, then ROI will be higher and earning per share will increase.

Central problems are economic problems faced by each and every economy. They arise due to: 

(i) Scarcity of resources:- Human wants are unlimited and available resources in relation to same are scarce and limited. 

(ii) Alternate uses of resources:- Available resources can be put to multiple uses, hence, the economy has to make a choice amongst alternative uses of available resources. 

The value of average cost is 70.

A Production Possibility Curve would be a straight line re equally efficient to produce both the goods.

Wages  is a variable cost.

It arises because resources are scarce and have alternative uses. Since many goods and services can be produced from these resources, the problem is that which of these should be produced

MOC along a PPC refers to the number of units of a commodity sacrificed to gain one additional unit of another commodity.

Let the 7th observation be p. Now,

Sum of 13 observation = 13 × 14 = 182.

Sum of first 7 observation = 12 × 7 = 84.

Sum of last 7 observation = 16 × 7 = 112.

Sum of last 6 observation = 112 - p.

Sum of 13 observation = Sum of first 7 observation + Sum of last 6 observation

= 84 + 112 - p = 196 - p

So, 196 - p = 182

=>p = 196 - 182 = 14.

Thus, the 7th observation is 14.

Punjab state

Three features of Golden Quadrilateral Super Highways: 

(i) It is the government project of major road development linking Delhi , Kolkata , Chennai, Mumbai. 

(ii) It is six lane super highways. It has the objective to reduce the time and distance between the mega cities of India. 

(iii) It is implemented by the NHAI for quick and comfortable movement of goods and passengers in India

Three features of Golden Quadrilateral Super Highways:
(i) It is the government project of major road development linking Delhi, Kolkata, Chennai, Mumbai, and Delhi.
(ii) It is six lane super highways.
(iii) It has the objective to reduce the time and distance between the mega cities of India.
(iv) It is implemented by the NHAI for quick and comfortable movement of goods and passengers in India.

Result in F₁ progeny - Violet Flowers

Answer given below:

https://bit.ly/2QaEzMA

Properties of a material to make

(a) Permanent magnet :

(i) HiCh retentivity

(ii) High coercivity

(b) Electromagnets:

(i) High permeability

(ii) Low retentivity

The given problem is of n jobs and three machines. We change the problem in of n jobs and two machines.

For this either Min M₁ ≤ M₃ × M₂ or min M₃ ≤ max M₂

Here min M₃ = 7 = M₁ × M₂

Hence we write M₁+ M₂ = G and M₂ + M₃ = H the problem will be as follows

The sequence as follows

Now

The minimum elapsed time = 42 hrs. Ideal time for M₁ = 42 – 23 = 19 hrs.

135 and 225 
Since 225 > 135, we apply the division lemma to 225 and 135 to obtain 
225 = 135 × 1 + 90 
Since remainder 90 ≠ 0, we apply the division lemma to 135 and 90 to obtain 
135 = 90 × 1 + 45 
We consider the new divisor 90 and new remainder 45, and apply the division lemma to obtain 
90 = 2 × 45 + 0 
Since the remainder is zero, the process stops. 
Since the divisor at this stage is 45, 
Therefore, the HCF of 135 and 225 is 45. 

1.

2.

(a) (i) Example of cross-linked polymer is Bakelite 

(ii) Example of natural polymer is starch. 

(b) Increasing order of their intermolecular forces. Buna-N < Polystyrene < Terylene 

(c) Biodegradable polymers – Natural or synthetic polymers which can be degraded to small molecules by bacteria. Example is PHBV, Nylon-2 

The reason behind this fact is that HIV/AIDS is not transmitted by a mere touch or any physical contact, rather it spreads though body fluids or by sharing infected needles and by the transfusion of contaminated blood and blood products.

Cry gene being isolated from protein crystals of bacterium bacillus thuringiensis is been expressed in different crop plants in order to provide the resistance to the insects without the need for insecticides.
e g. Bt potato, Bt tomato, Bt soybean etc.

Continuous use of CFC’s may harm the environment in future in the following two ways:

• May cause change in temperature of climate
• May cause failure of rainfall on earth.

(1) Differences between zoospore and zygote are

(2) Differences between homothallic and heterothallic are

Both hydrarch and Xerarch successions leads to medium water conditions (mesic) i.e neither too dry (xeric) nor too wet (hydric) conditions.

Carbon cycle is a series of processes by which carbon compounds are interconverted in the environment, involving the incorporation of carbon dioxide into living tissue by photosynthesis and its return to the atmosphere through respiration, the decay of dead organisms, and the burning of fossil fuels. 

● About 49% of the dry weight of living organisms is made up of carbon. 

● The ocean reserves and fossil fuels regulate the amount of CO₂ in the atmosphere. 

● Plants absorb CO₂ from the atmosphere for photosynthesis, of which a certain amount is released back through respiratory activities. 

● A major amount of CO₂ is contributed by the decomposers who contribute to the CO₂ pool by processing dead and decaying matter. 

● The amount of CO₂ in the atmosphere has been increased considerably by human activities such as burning of fossil fuels, deforestation. 

Affect of Deforestation: The plant convert the atmospheric CO₂ into organic compound by the process of photosynthesis. Due to deforestation the plant performing photosynthesis will decrease and less amount of CO₂ will be fixed into organic compounds. In this way the amount of CO₂ will increase in the environment which could further lead to greenhouse effect and global warming. 

(a) The current extinction rate are estimated to be 100 to 1000 times faster than in the pre-human times , because of human activities 
(b) (i) Decline in plant production
(ii) Lowered resistance to environmental perturbations such as drought
(iii) Increased variability in certain ecosystem processes such as plant productivity / water use / pest and disease cycles 

Osmoregulation is the active regulation of the osmotic pressure (salt and water concentration) of an organism's body fluids to maintain homeostasis. Organisms in both, aquatic and terrestrial environments must maintain the right concentration of solutes and amount of water in their body fluids. Kidneys play a very important role in human osmoregulation. 

They regulate the amount of water in urine waste. With the help of hormones such as antidiuretic hormone, aldosterone, and angiotensin II, the human body can increase the permeability of collecting ducts in the kidney to reabsorb water and prevent it from being excreted.

Sex education is necessary in schools because it provides correct information about of reproductive health, related organs, about adolescence and sexually transmitted diseases. As well as it creates awareness to protect people from the misconceptions about various sex related issues.

(c) ↑Cardiac output

Copper at cathode and chlorine gas (Cl₂) at anode.

Reason for deviation from ideal behaviour : Different interactions between solvent and solute particles causes deviation from ideal behaviour.
In positive deviations, solute-solvent interactions are weaker than the interactions between solute-solute and solvent-solvent particles.
Example of positive deviation: Alcohol + H₂O
In negative deviations, solute-solvent interactions are stronger than between solute-solute and solvent-solvent particles.
Example of negative deviation: HNO₃ + H₂O

(i) Vernacular languages and local folklores played an important role in creating the idea of nation in Europe. 

(ii) This was especially so in the case of Poland which had been partitioned by the great powers— Russia, Prussia and Austria. 

(iii) Karol Kurpinski of Poland celebrated the national struggle through his operas and music, turning folk dances like the Polonaise, mazurka into nationalist symbols. 

(iv) After Russian occupation, the polish language was forced out of schools and the Russian language was imposed everywhere. 

(v) Many members of the clergy in Poland began to use language as a weapon of national resistance. 

(vi) Polish was used for Church gatherings and all religious instructions. 

(vii) As a result, a large number of priests and bishops were put in jail or sent to Siberia by the Russian authorities. 

(viii) The use of polish came to be seen as a symbol of struggle against Russian dominance.