Students and Teachers Forum

1. How has globalization aasisted to make human life easier? Presenting two supporting instances

Globalization is the process of integration of the entire population of the world in such a manner that an event in one nation has an impact across the world. Globalization has assisted human in many ways. Some of them are: easy access .....

2.

 Check the given answers:
If I [am] given [a] chance to represent the country in any global summit regarding a global issue. I [will choose] global warming. Yes, there [is] not a great fault of developing countries like Nepal [where the industries establishment has not got progress yet. However, the deforestation is heavily progressed, [isn’t it?] in raising my ideas, “[Nepal will like ] to focus on plantation and preservation of plants. We should focus on getting people [to change] their practice in destroying the trees. In Nepal we [face] the problem of Deforestation causing drought in summer every year. Because of Draught and not enough rain, we have to rely [on] on the foodstuffs from the foreign countries.

.....

3.

                                                  Check my answer                                   
                                         Choose the best alternative:

I always enjoy the drive [at] Marley. It was [a] good straight road, with some pleasant views of the countryside. There [are]woods and hills. And [because] there is rarely much traffic on the road, I can usually enjoy the view as I drive along. I was annoyed the other morning when a small green car began to drive very close to me. The car continued following me.

“Perhaps, [I am doing something wrong], I thought. I checked everything but nothing was wrong with my car. I decided that the man [had been] lunatic. I didn’t slow down until I got to Marley, [did I]?  as I approached the lights, they turned red. While I [ was waiting] there the little green car caught up with me . The driver got out and tapped on my window. I opened it. “Can I help you?” I asked rather coldly.”I’m trying to help you!”, the man said. “your number plate fell off 15 miles back. I tried to attract your attention, but you didn’t take any notice.” The man made me [feel] sorry for him. If I had stopped the first time he followed me, I [wouldn’t have worried] so much.

The answers are .....

4. Choose the correct options: 

One day...........(a/an/the) university student was driving home from college. As he was driving a small girl appeared..........(on/in/at) the middle of the road. He tried to stop his car,................? (didn't he,doesn't he, don't he). His brakes..............(was not,be not, were not) working and thus the girl..............(was hit, hit, had been hit). The girl's legs were broken and she was seriously injured. The boy, then..............(is talking, took, takes) her to hospital. As soon as they reached the hospital, the hospital staff asked...........(what is her name, what her name was. what her name is). She was taken to the hospital in time..............(so, because, although) she was saved. If she had not been taken to the hospital, she............(would die, will die, would have died). The boy was arrested and was made.........(to pay, pay, paid) for the girl's treatment.  
 

Answers 1. a  2. in  3. didn't he 4. were not  5. was hit  6. took 7. what her name was  8. so 9. would have died  10. to .....

5. Discuss the differences between the fertility rate and mortality rate of developed country and least developed countries.

The fertility rate and the mortality rate of the developed countries are 11 and 10 (in million). The fertility rate and the mortality rate of the least developed countries are 35 and 11 (in million). The above data shows that the population growth .....

6. Prove that atmosphere exerts atmospheric pressure with an example.

.....

7. If vector a and b are perpendicukar to each other prove that (a + b)2=(a - b)2.

.....

8. विविधतामा एकता भनेको के हो? नेपालको सन्दर्भलाई उल्लेख गर्नुहोस्।

राष्ट्रिय जनगणना, २०६८  अनुसार, नेपालमा १० धर्म, १२५ जाती र १२३ भाषा छन् ।   तामाङ, लिम्बू, राई, .....

9. नेपालको धरातलीय स्वरुपका कुनै ५ उपयोगिताहरु लेख्नुहोस्।

नेपाललाई हिमाली, पहाडी र तराइ गरी भौगोलिक रुपमा ३ भागमा बिभाजन गरिएको छ । बिभिन्न क्षेत्रको .....

10. इतिहासको स्रोत कसरी संरक्षण गर्न सकिन्छ? कुनै ५ उपायहरु प्रस्तुत गर्नुहोस्।

इतिहासका स्रोतहरुको संरक्षणका उपायहरू सम्बन्धमा निम्नलिखित बुँदामा प्रस्तुत गर्न .....

11. In which cause of second world war does the political ideology involve? 

There are many causes for the outbreak of the Second World War. .....

12. prove that: (x + a) is a factor of (xn + an) when n is an odd number.

Let f(x) = xn + an To check whether (x + a ) is a factor of xn + an or not,  f(-a) = 0 Checking, f(-a) = (-a)n + (a)n = (-1 . a)n + an = (-1)n . an + an Since n is odd,  (-1)n  = -1 So, .....

13. नेपाको कृषि क्षेत्रमा रहेका विधमान समस्याहरु उल्लेख गर्नुहोस्।

नेपालको कृषि क्षेत्रमा बिद्यमान समस्याहरु:

- कृषि क्षेत्रमा अध्ययन अनुसंधान को अभाव .....

14. कृषिको व्यवसायिकरणका लागि अपनाउनुपर्ने उपायहरु के के हुन्?

नेपालमा परम्परागत निर्वाहमुखी खेतीले प्रश्रय पाउँदै आएको छ । अधिकांश नेपालीले कृषिकार्य .....

15. Prove the greatest chord in the circle is a diameter.

Join O&R and O & S as in figure. Here, PQ is the diameter and RS is a chord. We need to prove PQ>RS. OP = OQ = OR = OS         [ Radii of circle.] In triangle ORS, OR + OS>RS.        [ .....

16. Triangle ABC has AC = BC. ∡ACB = 96o, D is a point in ∆ABC such that ∡DAB = 18o and ∡DBA = 30o. What is themeasure of ∡ACD?

That is called sin rule of triangle. a/sinA = b/sinB = .....

17. What is meant by environment sanitation?

Environmental sanitation" means the art and science of applying sanitary, biological and physical science principles and knowledge to improve and control the environment and factors therein for the protection of the health .....

18. चोम्प​रे थे फोओद ओफ हिम​ल​य​न रेगिओन विथ थ​त ओफ थे तेरै रेगिओन्

कृपया प्रश्न स्पष्ट लेखिदिनुहोला .....

19. If f(x) = 2x2 + 3 and range = {3, 5} find domain.

Here, y = f(x) = 2x2 + 3 and range = {3, 5} = y. Put y = 3,  3 = 2x2 + 3 or, x2 = 0 or, x = 0. Put y = 5,  5 = 2x2 + 3 or, x2 = 1 or, x = ∓1 Thus, Domain = { -1, 0, .....

20. Which chemical molecules carry hereditary characters from parent to offspring?

The chemical molecules which carries the hereditary characters from parents to offsprings are genes that are present on "chromosomes". Genes are the functional unit of chromosomes. DNA is the site where this hereditary material is .....

21. List the two function of nucleus, vacuole and plastid.

The vacuole in cells have three main functions which are to Provide the plant with support or rigidity, A storage area for nutrients.  Waste matter.  Can decompose complex .....

22. Solve; tan2θ- (1 + √3)tanθ + √3 = 0

Here,       tan2θ - ( 1 + √3 )tanθ + √3 = 0 or, tan2θ - 1 - √3tanθ + √3 = 0 or, ( tan2θ - 12 )- √3( tanθ - 1 ) = 0 or, ( tanθ + .....

23. A machinery good bought for Rs. 100000 depreciates by 10% in the first 2 years and then by 5% in next 1 year. What will be its price after 3 years?

.....

24. A building worth Rs. 3000000 is constructed on a plot of land worth Rs 40,00,000. If the price of the house depreciates at the rate of 10% and the price of the land increase at the rate of 10% p.a. What will be the profit on the combined price of the house with the land after 3 years?

.....

25. The cost of a Tv was quoted Rs 17,000 at the beginning of the year 2013? The price was hiked by %% at the beginning of 2014. because of a decrease in demand at the beginning of 2014, the cost was reduced by 4% at the beginning of 2015. What is the cost of TV in 2015?

Check the question .....

26. A factory which was established at the investment of Rs. 4 crore, earns Rs. 75 lakhs as a profit in 3 years. But its cost was depreciated by 2.5% p.a. for the period and it was sold. Find its loss or gain in the whole duration. 

Investment during establishment of the factory ( P ) = Rs 40000000 Time ( T ) = 3 years Rate of depreciation ( R ) = 2.5% p.a. Using formula, Price of the factory after 3 years, A = P[ 1 -(R/100)]T = 40000000[ 1 - (2.5/100)]3 = 40000000[ 0.975 ]3 = .....

27. The value of a computer bought for Rs. 50000 is depreciating at the rate of 10% per annum. When will the value be Rs. 40500?

Here,  Cost of the computer (P) = Rs. 50000 Rate of depreciation (R) =  10% Depreciated value (Pt) = Rs. 40500 Time (T) = ? By using the formula, Pt = P(1-D/100)T Solve .....

28. The price of a motorcycle was Rs. 250,000 in 2070 B.S. and in 2072 B.S., it is Rs. 1,60,000. Find the annual rate of compound depreciation. 

Given, Initial price of the motorcycle ( P ) = Rs 250000 Time ( T ) = 2 years Price after depreciation ( A ) = Rs 160000 Using formula, A = P[ 1 -( R/100 ) ]T 160000 = 250000[ 1 - ( R/100 ) ]2 160000 / 250000 = [ 1 - ( R/100 ) ]2 0.64 = [ .....

29. A man bought a mobile set for Rs 44100 and sold it for Rs 40000 after using 2 years. Find the rate of compound depreciation.

Here, P =Rs.44100 PT = Rs.40000 T= 2 years. R = ? We know. PT = P(1 -R/100)T or, 40000 = 44100( 1 -R/100)2 or, 400/441 = ( 1 -R/100)2   or, (20/21)2 = ( 1-R/100)2 or, 20/21= ( 1 -R/100) or, R/100 = .....

30. 3 years ago, a company bought 5 ropani of land at Rs 280000. Due to the political instability in the country, the price of the land is depreciated. If the price of the land is depreciated at 5% p.a., what amount of the price is depreciated ?

Given, Initial price of the 5 ropani land ( P ) = Rs 280000 Time ( T ) = 3 years Rate of depreciation ( R ) = 5% p.a. Using formula, A = P[ 1 - (R/100)]T = 280000[ 1 - (5/100)]3 = 280000[0.95]3 = 280000 * 0.857375 = Rs 240065 Price of the land .....

31. A mobile costing Rs 6000 is depreciated in 2 years at the rate of 30% per annum. What is the amount of depreciation? Find it.

Given, Cost of the mobile ( P ) = Rs 6000 Time ( T ) = 2 years Rate of depreciation ( R ) = 30% Using formula, A = P( 1 - R/100 )T = 6000( 1 - 30/100 )2 = 6000( 1 - 0.3 )2 = 6000( 0.7 )2 = 6000 * 0.49 = Rs 2940 Hence, Amount of depreciation = 6000 .....

32. If the cost is depreciated at the rate of 10% per annum, the cost of a motorcycle after 3 years becomes Rs 87480. Calculate the original price of the motor cycle. 

Given, Rate of depreciation ( R ) = 10% Time ( T ) = 3 years Cost after depreciation ( A ) = Rs 87480 Using formula, A = P( 1 - R/100 )T 87480 = P( 1 - 10/100 )3 87480 = P( 1 - 0.1 )3 87480 = P( 0.9 )3 87480 = P * 0.729 P = 87480 / 0.729 P = Rs .....

33. The value of a machine bought 2 years ago depreciates 10% per annum. If its present value is Rs 64800, at what price was it bought? Find it.

Given, Time ( T ) = 2 years Rate of depreciation ( R ) = 10% Price of the machine after depreciation ( A ) = Rs 64800 Using formula, A = P( 1 - R/100 )T 64800 = P( 1 - 10/100 )2 64800 = P( 1 - 0.1 )2 64800 = P( 0.9 )2 64800 = P * 0.81 P = 64800 / .....

34. A mobile set is bought for Rs 25000. If the annual rate of depreciation is 5%, what will be the selling price of the mobile set after 2 years ?

Given, Cost of mobile set ( P ) = Rs 25000 Rate of depreciation ( R ) = 5% Time ( T ) = 2 years Using formula, A = P( 1 - R/100 )T = 25000( 1 - 5/100 )2 = 25000( 1 - 0.05 )2 = 25000( 0.95 )2 = 25000 * 0.9025 = Rs 22562.5 Hence, the selling price .....

35. A cycle costing Rs 12000 is depreciated annually by 10%. What will be the cost of cycle after 2 years?

Given, Cost of cycle (P) = Rs 12000 Rate of depreciation (R) = 10% Time (T) = 2 years Using formula, Depreciated cost of cycle = P( 1 - R/100 )T = 12000( 1 - 10/100 )2 = 12000( 1 - 0.1 )2 = 12000 ( 0.9 )2 = 12000 * 0.81 = Rs 9720 Hence, the cost .....

36. The value of a computer which was bought for Rs 40000 depreciates at 10% annually. What will be the cost of the computer after 2 years.

Given, Cost of computer ( P ) = Rs 40000 Rate of depreciation ( R ) = 10% Time ( T ) = 2 years Using formula, A = P( 1 - R/100 )T = 40000( 1 - 10/100 )2 = 40000( 1 - 0.1 )2 = 40000( 0.9 )2 = 40000 * 0.81 = Rs 32400 Hence, the cost of computer .....

37. A furniture costing Rs 16800 is depreciated at the rate of 15% p.a. What will be the cost of furniture after 2 years ?

Given, Price of the furniture ( P ) = Rs 16800 Rate of depreciation ( R ) = 15% Time ( T ) = 2 years Using formula, A = P( 1 - R/100 )T = 16800( 1 - 15/100 )2 = 16800( 1 - 0.15 )2 = 16800( 0.85 )2 = 16800 * 0.7225 = Rs 12138 Hence, the cost of .....

38. The price of a motor bike is depreciated by one-tenth of its price every year. Find the rate of depreciation.

Given, Original price ( P ) = x Depriciated price = ( 1/10 ) of x = 0.1x Price after depreciation ( A ) = x - 0.1x = 0.9x Time ( T ) = 1 year Using formula, A = P( 1 - R/100 )T 0.9x = x( 1 - R/100)1 0.9 = 1 - R/100     [ Canceling .....

39. The value of an article is Rs 1000. If it is depreciated by Rs 200 per year, find the rate of depreciation.

Given, Original price of the article ( P ) = Rs 1000 Depreciated value = Rs 200 Price after depreciation of the article ( A ) = 1000 - 200 = Rs 800 Time( T ) = 1 year Using formula, A = P( 1 - R/100 )T 800 = 1000( 1 - R/100 )1 800 / 1000 = 1 - .....

40. The value of a machine is depreciated from Rs 3200 to Rs 3040 in a year. Find the rate of depreciation in percent.

Given, Value of the machine before depreciation ( P ) = Rs 3200 Value of the machine after depreciation ( A ) = Rs 3040 Time ( T ) = 1 year Using formula, A = P ( 1 - R/100 )T 3040 = 3200( 1 - R/100 )1 3040 / 3200 = 1 - R/100 0.95 = 1 - R/100 R/100 .....

41. A scooter which is supposed to depreciate at the rate of 15% per year was sold Rs 72250 after a year. At what price was it bought?

Given, Cost after depreciation (A) = Rs 72250 Rate of depreciation (R) = 15% Time ( T ) = 1 year Using formula, A = P( 1 - R/100 )T 72250 = P( 1 - 15/100 )1 72250 = P( 1 - 0.15 ) 72250 = P( 0.85 ) P = Rs 85000 Hence, the price was Rs 85000 when it .....

42. A typewriter bought for Rs. 75000 was sold after a year depreciating at the rate of 12.5% per year. What was the amount of depreciation?

Cost of the typewriter (P)- Rs. 75000 The rate of depreciation (R)- 12.5% Time period (T) = 1 years Pt = P(1 -D/100)T Use this formula to find the .....

43. The population of a village in 2061 was 24000. If the population of the village in the year 2064 was 27783 then find the population growth rate.

Given, Population of the village ( P ) = 24000 Population of the village after 3 years ( PT ) = 27783 Time ( T ) = 3 years [ Between 2061 an 2064 ] Using formula, PT = P[ 1 + (R/100) ]T 27783 = 24000[ 1 + (R/100)]3 27783/24000 = [ 1 .....

44. The present population of a town is 50000. If the annual birth rate is 13.5% and the annual death rate is 3.5%, calculate the population of the town after 3 years.  

The present population of a town (P) = 50000 The rate of a city(R) = 10 % (Birth rate - Death rate) Time (T) = 3 years Population after 3 years (Pt) = ? By using formula, PT = P (1 - D/100)T Solve .....

45. Two years ago, the population of a town was 500000 and now it is 60500. If crude birth rate of the town is 15%. Find the number of dead people in 2 years. 

Here, Initial population = P = 500000 Birth rate = R = 15%. Time = T = 2 years. Now, Population after 2 years = P(1 + .....

46. In the begining of 2015 AD, the population of a town was 50000. When will the population of the town be 54080 at the population growth rate 4% per year?

Here, Initial population = P = 50000 Final population = PT = 54080. Time = T = ? Rate = R = 4% We know, PT .....

47. Provide answers. 

It was very late when an old beggar came to rich Farmyard. He ……………(had traveled/traveled/was traveled) far that day. He was tired and hungry. He said to himself, “I must get someone………………(to help/help/helped) me because it is snowing. I will go up here, maybe the farmer will help me. He could probably give me somewhere to lie down.” ………………………………..(So/When/Since) the old beggar walked up to the farmhouse and he knocked on the door. The farmer was just finishing his tea and his wife said, “Well, I’ll go and see who is there.”He walked out and there at his door stood an old beggar with his old gray hair and his old ragged coat. And the farmer said, “………………….(What do you want/What he wanted/What did you want?” he said, “Please, sir, I’m just ………………(a/an/the) old beggar. It’s a cold night and it’s snowing. I’m hungry and tired. I ……………….(would get/will get/get) some rest if you provide me a place to lie down for the night.” And the farmer said, “You’re a beggar! Old man, I need my barns for my cattle. The woods ………………(is, are, was) fit for you. Go and sleep in the woods, old man we shelter no beggars here.” The old beggar just turned around. He said, “I’m sorry, sir.” And he walked away and the door ……………………(was closed/closed/will close) by the farmer.

1. had travelled 2. to help 3. so 4. at 5. didn't he? 6. what do you want? 7. an 8. will get 9. are 10. was .....

48. Find the slope of a straight line passing through the origin and making an equal angle with positive axes

Here, look at the diagram, Inclination of line = θ = 45o. So, slope  = tanθ = tan45o = .....

49. 24,000 blood donors were registered with a charitable hospital. The number of donors were increased at the rate of 110every year. Find the time period at the end of which the total number of blood donors becomes 31,944. 

Here, Initial population of blood doners = P =24000 Final population = PT = 31944. Time = T = ? Rate = R = 1/10 x 100% = 10% We know,      P .....

50. Provide the correct answers. 

I was crossing [the] Sahara desert when it happened. I [had] a small radio,…….(but/so/that) it packed up after 10 days or so, and I just kept on going obviously people began to worry when I didn’t ……….(call/calls/called) this particular morning. I set up my tent and …………….(was fallen/fell/had fallen) asleep. While I was sleeping the search party arrived. What happened was I woke up and heard the voices that made me ………………(felt/to feel/feel) surprise. Someone said,” I’d better have a look,…………..?(wouldn’t I/hadn’t I/didn’t I). He’s dead. I suppose.”. “Who?Me?” I shouted and popped my head out of the text. You should have seen their faces if you ……..(were, had been, are) with me. They were even ………….(much/more/most) surprised when I refused a lift from them…….but they did give me a new radio.

1. the 2. had 3. that 4. call 5. fell 6.  feel 7. hadn't I? 8. had been 9. much .....