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Let E be the events of selecting first horse .Given that P(E)=1/5 and Let F be the events of selecting 2ND horse .Given that P(F)= 2/3 

THEREFORE P(E^C)=4/5  ,   P(F^C)= 1/3

 (I)BOTH WILL BE SELECTED

P(E and F)= P(EF)=P(E)P(F)= 2/5*1/3=2/15

(ii)  ONLY ONE OF THEM WILL BE SELECTED

P(E^C F)+P(F^CE)= P(E^C)P(F)+P(F^C)P(E)=4/5*2/3+1/3*1/5 =9/15=3/5

(iii) NONE OF THEM WILL BE SELECTED= P(E^CF^C) = P(E^C ) P(F^C) = 4/5 *1/3 = 4/15

(IV)  ATLEAST ONE OF THEM SELECTED= = 1-4/15 = 11/15

- The rattrap seller undergoes change in his personality as he experiences the shift from isolation to community. 

- Rattrap seller is devoid of family and friends, he is depicted as a loner 

- Instances that depict his engagement with community- hospitality of the old man, the Christmas episode 

- His experience of friendship leading to a change in his persona. 

- As a doctor- adhere to sense of duty 

- As a human being- a sense of humaneness 

- Acceptance of the general’s plan – in accord with loyalty to his country which was at war with Tom’s country.

send. me answer this question

- Douglas’ struggle – determination to face fear—overcome it 

- Accept any relevant examples from the text as a link to life’s challenges/ setbacks/ obstacles 

- Symbolism- deep water not just restricted to water but is a metaphor for human fears/phobias/anxieties 

- Significance- the struggle and journey of overcoming one’s fears. 

(important to develop a connection between Douglas’ journey / determination to face fear with life’s challenges)

After discount cost of each book = 125 - 25 = 100

books                 price of each book

40                                 125

?(x)                                100

let x no. of books can be bought after discount

Indirect variation (more books can be bought if price becomes less)

x/40 = 125/100

or, x/40 = (125*40)/100

or, x = 5000/100 = 50

If the data even in both the statements I and II together are not sufficient to answer the question.

From statement I

Let present age of father, mother and Ram be a years, b years and c years respectively.

(c - 2) + (a - 2) = 60

a + c = 60

From statement II

a - b = 5

Solving,

b + c = 55

We can not find the difference between the age of father and age of mother.

∴ the data even in both the statements I and II together are not sufficient to answer the question.

As we know that,

1/4 = 0.25

3/4=0.75

1/2=0.5

Rajni spent 10.25 rupees in canteen

Rajni spent 25.75 rupees to buy a gift

Rajni spent 16.5 rupees to her friend

Total money spent by her = 10.25 + 25.75 + 16.5 = 52.5 rupees

Total money spent = Total money at the beginning

So Rajni had 52.5 rupees at the beginning

1/4= 0.25

3/4-0.75

1/2=0.5

Rajni spent 10.25 rupees in canteen

Rajni spent 25.75 rupees to buy a gift

Rajni spent 16.5 rupees to her friend

Total money spent by her = 10.25 + 25.75 + 16.5 52.5 rupees =

Total money spent = Total money at the beginning

So Rajni had 52.5 rupees at the beginning

don't know  sorry

8/4=2 ,6/3=2, 4/2=2, 3/1=3 ,1/1=1, 0/1=0 ,-1/1=-1 ,-2/1=-2 ,-4/2=-2,  -6/2=-3

Cost of 17/2 kg sugar=(148*4+3)/4 kg
595/4 (Rs.)
Cost of 1 kg of sugar=595/4  divided by 17/2
=595/4*2/17
Rs.17.5

\(\sqrt{1+100\sqrt{1+101\sqrt{1+102\sqrt{1+103\times105}}}}\) 

 = \(\sqrt{1+100\sqrt{1+101\sqrt{1+102\sqrt{1+(104-1)\times(104+1)}}}}\)

 = \(\sqrt{1+100\sqrt{1+101\sqrt{1+102\sqrt{1+104^2-1}}}}\) 

 = \(\sqrt{1+100\sqrt{1+101\sqrt{1+102\times104}}}\) 

= \(\sqrt{1+100\sqrt{1+101\sqrt{1+(103-1)(103+1)}}}\)

= \(\sqrt{1+100\sqrt{1+101\sqrt{1+(103^2-1)}}}\) 

 = \(\sqrt{1+100\sqrt{1+101\times103}}\) 

 = \(\sqrt{1+100\sqrt{1+(102-1)(102+1)}}\) 

 = \(\sqrt{1+100\sqrt{1+102^2-1}}\) 

 = \(\sqrt{1+100\times102}\) 

 = \(\sqrt{1+(101-1)(101+1)}\)

= \(\sqrt{1+101^2-1}\)

= 101

Given:

Total distance covered = 22 km

Time taken = 4 hours 

Speed of man when walking = 4 km/hr

Speed of man when hogging = 10 km/hr

Formula used:

Distance = Speed × Time

Calculation:

Let the walking time of the man be x hours then jogging time be (4 – x) hours

Now, A/Q

Speed × Time = Distance 

⇒ 4x + 10(4 – x) = 22

⇒ 4x + 40 – 10x = 22

⇒ 6x = 18

⇒ x = 3

Distance covered by man during walking = 4 × 3 = 12

∴ The distance covered by man during walking is 12 km

During unfavorable conditions (increase or decrease in temperature and scarcity of food) Amoeba withdraws its pseudopodia and secretes a three-layered, protective, chitinous cyst wall around it and becomes inactive. This phenomenon is called encystment. When conditions become favourable, the encysted Amoeba divides by multiple fission and produces many minute amoebae called pseudopodiospore or amoebulae.

The cyst wall absorbs water and breaks off liberating the young pseudopodiospores, each with a fine pseudopodia. They feed and grow rapidly to lead an independent life.

(a) heavy metals 

(c) surface waters for consumption and the disposal of human sewage. 

1. In developing nations.

2. Before they are 18 years old.

3. The teenagers never expected to become addicted.

4. Nicotine.

5. Nicotine raises the oxygen demand for the heart.

6. Smoking.

7. Money or profits.

8. Counselling and medical help.

9. Addictive.

10. Unexpected.

= (Total drawing) x Rate/100 x 5.5/12

= 2,000 x 12 x 10/100 x 5.5/12

= Rs. 1,100

(b) 6 months

Correct option is c) 4.5 months

Correct option is c) Interest on drawings

(b) Jupiter takes maximum time for one revolution i.e., 11 year 86 days. Mars take 687 days, Venus takes 267 days.

(d) All the statements are true about the sedimentary rock.

CAPTAIN JACK SPARROW

Doctor Livesey learned that Ben Gunn had already found the treasure and taken it to his cave and later he saw that the ship too had vanished. Now that the treasure map was useless he decided to give it to the pirates and let them have the stockade where he was sure the pirates would go down with malaria and eventually die.

When the girl of the silent torrent reached home. She made sure she was safe from prying eyes then she held the painted pot in the light and turned it round and round and scanned the painting from all angles. Later that night she got up from bed, lighted a lamp and scanned it again in silence for the first time in her life she had been something that had no meaning and no purpose at all.

When she set out for the torrent the next day, her hurrying feet were a little less hurried. A new sense seemed to have awakened in her, a sense that seemed to have no meaning and no purpose at all.

The girl was impressed by art and beauty. For the first time the girl had realised that there are things to do other then continuous toil and productive work. Even if there was no meaning or purpose in art and beauty, she realised that art and beauty gave a certain joy. She saw new possibilities open – up before her. So she followed the young man to explore those possibilities.

Poem : Mending Wall

Poet : Rober

Frost Every year the poet and his neighbour repair the crumbled wall between there properties during spring. The narrator is skeptical about the need of the wall between them. But his neighbour asserts that Good fences make good neighbour’s. One year while they were mending the wall the narrator sees his neighbour bringing a stone grasped firmly by the top in each had like an old stone – age savaged armed with stone weapons.

The neighbour’s attitude about the wall makes the poet think that he is still living in the dark ages when there was a need of a wall between homes, countries and empires. The poet feels that his neighbour is not an enlightened man and still lives in darkness i.e., he is not broad – minded person.

The words “Can you tell me – did she keep her hair long or short” are extracted from the lesson “The eyes are not here”, by Ruskin Bond. The narrator asks the man who had just entered the train compartment. The narrator is curious about the girl who had just alighted from the train. He was blind and had not been able to notice her appearance. The narrator had tried his best to conceal the fact that he was blind from the girl who had been travelling with him. When the girl got down at the station, a new passenger got into the coach. 

There was some commotion at the door. The narrator asked the above question to the new passenger when he started the conversation with him.

Some typical ways fiscal policy is used to increase aggregate demand include tax cuts, military spending, job programs, and government rebates. In contrast, monetary policy uses interest rates as its mechanism to reach its goals.

When a share holder fails to pay the amount due on allotment or on calls, the amount remaining unpaid is known as calls-in-arrear. In other words, the amount called up but not paid is calls-inarrears.

The applications of CAS are as follows:

(i) Maintaining accounting records: 

In CAS, accounting records can be maintained easily and efficiently for a long time period. It facilitates fast and accurate retrieval of data and information.

(ii) Inventory management: 

CAS facilitates efficient management of inventory. Updated information about the availability of inventory level of inventory etc. can be obtained instantly.

(iii) Report generation: 

CAS helps to generate various routine and special purpose reports.

(i) Adverse effect on the fertility of the soil: Due to the construction of dams, there are no annual floods in the river. And because of this, the soil of the downstream region does not get nutrient rich “silt”. This decreases the fertility of the soil. 

(ii) Adverse impact on aquatic life: Due to the construction of dams on the rivers, the fish in the downstream area do not get sufficient nutrient material. Regulating and damming of rivers affect the natural flow of water causing poor sediment flow downward, and excessive sedimentation at the bottom of reservoir, resulting in rockier stream beds and poorer habitats for the rivers aquatic life. Dams also fragment rivers making it difficult for aquatic fauna to migrate for spawning i.e., to produce eggs. 

(iii) Displacement of local communities : The building of large dams results in displacement of local communities. The local people often have to give up their land and livelihood and their meagre access and control over resources for the greater food of the nation. 

(iv) Change in the cropping pattern : The multipurpose projects are responsible for providing assured means of irrigation to farmers. Due to this, most of the farmers have changed the cropping pattern shifting to water intensive and commercial crops. This has led to salinisation of soil leading to ecological imbalance.

A. Doubling Period 

Gross profit Ratio = (Gross profit)/(Revenue from operations) x 100

Gross profit Revenue from operation – cost of revenue from operation 

= Rs. 5,00,000 – Rs. 4,20,000 

= Rs. 80,000 

Gross profit ratio = 80000/500000 x 100

= 16%

The correct answer is : (c) 2:1