Students and Teachers Forum

1. How to find inital and final velocity easily?

As shown in figure, the car is at rest. When the car just starts to move, it has velocity of 0 m/s.  This is the velocity at the beginning called initial velocity i.e. u = 0 m/s. And after 20 s time, the velocity of car becomes 25 m/s. This .....

2. नारीको हकअधिकार के हो ? 

मिलाएर लेख्नुहोस् है तः

नारीको हकअधिकार
समाजमा .....

3. निबन्ध लेख्नुहोस्ः
मेरो जन्मभूमि

मेरो जन्मभूमि
मेरो देश  प्राकृतिक दृष्टिले .....

4. नेपालमा जैविक समस्या को निबन्ध

निबन्ध दुई प्रकारका हुन्छन् आत्मपरक र निजात्मक । सर्वप्रथम निबन्ध लेख्दा शीर्षक .....

5. Out of 100 participants in picnic,70 drank milk,40 drank soup and 20 drank both
represent the above information in venn diagram
find the number of participants who drank neither of the drinks by using venn diagram

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6. If sin 15° =  3-132 then find the value of cos 30°.

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7. What is meant by development projects? Discuss the importance and needs of such projects in national development process.

Development is a continuous process. Development projects are designed and launched in order to utilise the available resources to optimise the development and obtain desired goals.  The development aims for the improvement of life .....

8. If A + B = 90∘ and cot A + cot B = cot C. Prove that Sin C = Sin A ⋅ Sin B ⋅ Cos C.

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9. ( { sin ( A + B ) + Sin ( A - B ) over Cos ( A + B ) + Cos ( A - B)})   =  Tan A

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10. If sin ( θ  +  ϕ ) = 2 sin ( θ  -  ϕ ) . Prove that Tan θ  = 3 Tan ϕ

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11. If sec θ  = 17/8 cosec y = 5/4. Prove that sec ( θ  - y) = 85/84

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12. If TanA = x+ 1 and TanB = x -1 Prove that 2cot(A-B) = x2 . 

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13. If TanA = 3 / 4 and TanB = 5 / 12

Find the value of 

i. cos(A+B)   ii. cot(A+B)

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14. If (cot⁡α-1) (cot⁡β-1)=2, prove A+B = πc4

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15. Prove that :
cot6A cot2a - cot8A cot6A - cot8A cot2A = 1 

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16. Prove that:
cotx cot2x - cot2x.cot3x - cot3x.cotx = 1

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17. If Prasiddi buys a radio in Rs. 2460 in the vat of 10 %, how much her profit %?

The question seems quite incomplete. If she doesnot sell the radio, she is neither in profit nor in .....

18. The life of early humans was nomadic; Why?

Nomadic life is the preliminary stage of the development of civilization. We may consider them as Nomads because they didn’t have the knowledge to be farmers. They didn’t know how to cultivate land, plant and raise crops, how to farm .....

19. यात्रा सुरु गरौ  भन्ने कबिताका कबि को जन्म कहिले हो?

दुबसु क्षेत्री

नाम - दुर्गाबहादुर सुवेदी जन्म - वि.सं. २०२३, श्रावण २१ गते, खुदुनाबारी - २, .....

20. A departmental store earned rs1200000 as profit and distributed rs 4800 as bonus to each of its 20 salesman. Find what percent of the profit was distributed among them. If it is increased by 2 percent what amount will each sales man get as bonus?

Toal profit = Rs. 1200000 Bonus for each sales man = Rs.4800 Bonus distributed to 20 salesman = 20 * 4800 = Rs. 96000 The percentage of bonus distributed =  ( 96000 / 1200000 ) x 100%  = 8% If the bonus percentage is increased by 2% ie 8 .....

21. By reduction of the income tax from 6to 4 paisa in the rupee,a man saved rs 120. What was his incom?

First Case : Here he had to pay 6 paisa on every 1 rupee or 100 paisa. Therefore he had pay 6% at first. Second Case: The tax was reduced to 4 paisa in every 100 paisa i.e 4% rate Now, let his income be 'a' First case : Income after .....

22. Find the HCF of the following expression
 x3y + y4, x4 +x2y2 + y4, 2ax3 - 2ax2y + 2axy2
 

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23. तल 'बस्' धातुबाट बनेका विभिन्न लिङ्ग, वचन, पुरुस र आदरका वाक्यहरु दिइएको छ | त्येसरी नै 'गर' , 'हट', र 'साट' धातुबाट वाक्यहरु बनाउनुहोस् :
 - वेदकुमार बस्छन् | (पुलिंग) वन्दना बस्छिन | (स्त्री लिङ्ग)
 - रवी बस्छन |बेनुसा बस्छिन् | (एक वचन) वेनुसा र मनिसा बस्छन् | (बहु बचन)
 - म बस्छु | हामी बस्छौ | (प्रथम पुरुष)
 - तिमी बस्छौ | तिमीहरु बस्छौ | तपाई बस्नुहुन्छ | ( दितीय पुरुष)
 - ऊ बस्छ | ऊ बस्छे | उनीहरु बस्छन् | (तृतीय पुरुष)
 - त बस्छस्  | (अनादरवाची) तिमि बस्छौ | (सामान्य आदरार्थी) तपाई बस्नुहुन्छ | (उच्च आदरार्थी)

धातुः गर्, हट्, साट् गर्ः राम काम गर्छ । (पुलिंग) सीता काम गर्छे । (स्त्रीलिंग) राम काम गर्छ । .....

24. तल 'पढ' धातुबाट बनेका विभिन्न काल र पक्षका वाक्यहरु दिइएको छ | त्येसरी नै तपाई पनि 'लेख् '  , 'बोल्' र 'सुन' धातुबाट तिनै ओटै कालका सबै पक्ष्याका वाक्यहरु बनाउनुहोस् :

 - सहरमानले पढे | (सामान्य भूत) सहरमान पड्दै थीए | (अपूर्ण भूत ) सहरमानले पढेका थीए | (पूर्ण भूत) | सहरमान पढथे) |   
   (अभ्यस्त भूत) सहरमानले पढेछन् | (अज्ञात भूत)
- सहरमान पढछन् | (सामान्य बार्तमान) सहरमान पढदै छन् | (आपूर्ण बर्तमान) सहरमानले पढेका छन् | (पूर्ण बार्तमान )
- सहरमान पढने छन् | ( सामान्य भविष्यत) सहरमान पढदै हुने छन् | (अपूर्ण भविष्यत) सहरमान पढेका हुने छन् | (पूर्ण भविष्यत)

धातुः बोल्, सुन् भूतकाल बोल्ः राम बोल्यो । (सामान्य भूत) राम बोल्दै थियो । (अपूर्ण भूत) राम .....

25. पाठबाट दीर्घ ईकार लागेको शब्दहरु टिप्नुहोस् |

गरी, भनी, हामी, नेपाली, सुखी आदि .....

26. सङ्क्षिप्त उत्तर देऊ :
क) कवि के के कुरामा टम्म र डम्म हुन्छन् ?
ख) "सीमा विलासको छैन" भनाइको तात्पर्य के हो ?
ग) कस्तो बानि भएको मानिसलाई मिजासिलो भनिन्छ ?
घ) "दुबैतिर हेर्नुपर्छ" भन्नुको आसय के हो ?
ङ) नाक, जिब्रो, हात र पाउका काम के के हुन् ?
 

(क) कवि एक पेट खान पाउँदा टम्म हुन्छन् भने एक जोर लुगा लगाउन पाउँदा डम्म हुन्छन् .....

27. Simplify:
  x+4x+2 - x-1x-2 

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28. Prove : 11-cos α - 11+cos⁡α = 2cot α •cosec α

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29. If tanα3=12 , find the value of tanα.

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30. What sort of change will you be able to notice in your community after studying health, population and environment education?

With the knowledge about health, population and environment we can see that the members of the community become conscious about their surroundings, size of population and available resources. The community manages its members according to .....

31. I need formula of discount

discount = Cost price - selling .....

32. Write about our culture.

Nepal is culturally rich in the world. Our culture is admired by the whole world. In fact, culture and tradition is the identity of Nepal. Culture and tradition of Nepal have made Nepal famous in the whole world. Nepalese culture is unique in .....

33. Simplify :
1x2- 5x+6 - 2x2- 4x+3 - 1x2-3x + 2

1a2- 5a + 6 - 2a2- 4a + 3 - 1a2 - 3a + 2

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34. What kind of word should change in the narration?

Important Words .....

35. Find the values of sin 2A, cos 2A and tan 2A when,
  tan A = 17 

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36. After allowing 15% discount on the marked price of an article 13% VAT was levied on the remaining amount, then the price of the article becomes Rs. 13,447. Find the marked price of  the article.

Let the marked price of the article be 'a' The SP with discount = a - 15% of a  = a - 15 / 100 a = 0.85a Now, CP with VAT = 13447 or, 0.85 + 13% of 0.85 = 13447 or, 0.9605 a = 13447  ∴ a = 14000 ∴ The initial .....

37. How can we learn to talk in English? 

We can do many things to learn to talk in English. Here are some helpful tips that you can follow:  - read English things such as English stories, articles, poem, essays, comics and so on.  - listen to English songs, watch English .....

38. A watch was sold on its marked price at a gain of 20%. But allowing 5% discount, there would have been a gain of Rs 140. Find the cost price of the watch.

In this problem, we are given two Cases : 1) At MP, there will be 20% gain (Profit) 2) At 5% discount, there will be only Rs 140 gain. Let us Recall some formulae : 1) SP = MP - Discount% of MP 2) SP = CP + Profit% of CP 3) SP = CP + Proifit .....

39. Drinking water is difficult inside an artificial satellite in the space. Why?

You might have learnt about freefall. The artificial satellite is in frefall which experience weightlessness. So there is no force making the water flow in any direction and especially not “down” into mouth and the throat of the .....

40. Why does a person feel no motion to trade elevator while elevator falls freely?

When the elevator begins to fall a person inside would experiences weightlessness because they would be accelerating downward at the same rate as the .....

41. Why is it easier to launch a rocket in Moon than to do so in the earth?

There are three things which make rocket launches easier on the moon. 1. Lack of an atmosphere. This removes atmospheric drag, which on Earth takes a lot of thrust to compensate for. This reduces the amount of fuel required. 2. The Moon's .....

42. Who is inventor of thermometer?

Galileo Galilei is the inventor of .....

43. A stone is dropped from the tower of a tower 60 metre high at the same time another stone is projected vertically upward from the ground with a velocity of 20 metre per second. Find where and where they will meet if value of g is equal to 10 per second.

Lets take distance covered by the stone thrown upwards to meet the other as x. Then the other stone covers a distance of (60-x)m. Let the particle dropped down be b1. So the particle thrown up is b2. b1 => d = .....

44. A man bought a radio for Rs 2,000 and fixed its price so that after giving 20% discount he made 10% profit. Find the fixed price of the radio.

Here, CP of the radio = Rs. 2000 Let the Marked Price be 'a' . When 20% discount is given there is a profit of 10%. SP with discount = a - 20% of a  = a - 20 / 100 a  = 0.8a Profit% = ( SP - CP ) / CP x 100% or, 10 / 100 = .....

45. नेपालको जल स्म्प्दा को निबन्ध

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46. Simplify:
 x-12x-1x+2+ 3x+2x-1- 11-x1-2x

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47. Simplify : xx2 + 2xy + y2 +  yx2 -  y2

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48. Simplify: 
           x          x2 + 2xy + y2  +  yx2 - y2

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49. Find the LCM of the following expression
 a3 - 2a2 + a, a3 + a2 - 2a, a3- 4a

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50. Find the HCF of the following expression
x2 -18x - 19 + 20y - y2, x2 +x - y2+y, x2 - y2 + 2y -1

1st expression = x2 - 18x - 19 + 20y - y2                                              = x2 - 2. x.9 + 92 - 100 .....