Students and Teachers Forum

1. A boy standing on the bank of river observer that the angle subtended by a tree on the opposite bank is  450 when he moves 60 m away from the bank find the angle to be 30. Find the height of the tree and breadth of the river.

Here  Let AB be the height of tree and BC be the breadth of river. In right angled triangle ABC, tan45 = AB/BC or, AB = BC. In triangleABD, tan30 = AB/BD or,1/√3 = AB/(AB + 60m)   [ Since, BD = BC + CD = AB + 60.] or, AB .....

2. A boy and girl are in opposite side of a fixed flagged pole which is 20 feet high. They observed that the angles of elevation of the top of the flagged pole are 200 and 300 respectively. If they reach the pole at the same interval of time, find the distance between them at the beginning who ran faster and what is the distance of the faster one covered?

Let the position of bot be C and girl be D.  In triangle ABC,     Tan20o = AB/BC or, BC = 20ft/tan20 = 55ft. In triangle ABD,      tan30o = AB/BD or, BD = 20ft/tan30 = 34.6ft. Here, Boy travel faster then .....

3. A straight tree is broken over by the wind but not completely separated and its upper part meets the ground at an angle of 30 and the distance from the foot of the tree to the point where the top of the tree touches the ground is 25m.
i) Find the length of the broken part of the tree and finds the height of the tree before being broken.

 

Here,  Let AB be the height of a tree and DC is the broken part and BC = 30m Here, tan 300 = BD/BC             or, 1/√3 =  BD/30m             or, BD = .....

4. Show the chemical reaction between conc. HCl and CaCO3

The equation of the reaction between calcium carbonate  and HCl is: CaCO3+2HCl → .....

5. Solve: √3 cot2A + 4cotA + √3 = 0  [ 0o ≤ A ≤ 360o.]

Here,  √3 cot2A + 4cotA + √3 = 0  or, √3 cot2A + 3cotA + cotA + √3 = 0  or, √3cotA( cotA + √3) + 1(cotA + √3) = 0 or, (cotA .....

6. Solve: (√3 +1) tanA - √3 = tan2A.   [ 0o ≤ A ≤ 360o.]

Here,    (√3 +1) tanA - √3 = tan2A or, tan2A - √3tanA - tanA + √3 = 0 To find the value of A, we need to factorize it. or, Tan2A - √3tanA -  tanA + √3 = 0 or, tanA( tanA .....

7. Solve : sin2A + sin4A = cosA + cos3A    [ 0o≤ A ≤ 360o].

Here,  Sin2A +  sin4A = cosA + cos3A Using formula of sinC + sinD and cosC + cosD, we get

or, 2Sin(2A+4A)/2.Cos(2A- 4A)/2 =  2Cos(A+3A)/2.Cos(A - 3A)/2 or, sin3A.cosA = cos2A.cosA or, sin3A.cosA - cos2A.cosA = 0 or, .....

8. Find the equation of the circle having centre(-1, 3) which passesthrough the mid-point of the line joining the points (4,3 ) and (-6, 7).

Given, Centre of the circle (h,k) = (-1,3) Mid- point of the line segment (4, 3) and (-6,7), = (4 - 6) ∕ 2 , (3 + 7) ∕ 2 = (-1 , 5) Distance between centre and the mid-point i.e. radius of the circle(r), = √[(-1 .....

9. Find the equation of a circle passing through the point and having the same centre of the circle x2 + y2 + 4x + 8y + 9 = 0.

Here,  We have given equation of circle is x2 + y2 + 4x + 8y+ 9 = 0 Compare this with x2 + y2 + 2gx + 2fy + c = 0, we get  g =  2 & f = 4. So, centre = (h,k) = (-g, -f) =(-2, -4) Now find the distance .....

10. Prove that :cot 20o=2tan50o +tan 20o.

To prove it we have to use tan(A+B) formula, We know, 70 = 20 + 50 According to the trigonometric identity,    tan70=tan(20+50) or, tan(90 - 20)=(tan20+tan50)/[1-tan20tan50] or, cot20 = (tan20+tan50)/[1-tan20tan50]    [ .....

11. Determine the vertices of d'a'b'c' if dabc with vertices a(6,3), b(-3,5) and c(4,-2) is reflected on the line x=3

We know,  If R denotes the reflection in the line x = k, then: R: P (x, y)→ P' (2k - x, y) So,  A(6, 3) ----- k = 3 →A'(6 - 6, 3) = A'(0, 3) B(-3 , 5) ----- k = 3 →B'(6+ 3, 5) = .....

12. Derive equation of straight line in the form of xcos alpha + ysinalpha =p where symbols have their usual meanings

The length of the perpendicular OD from the origin = p and ∠XOD = .....

13. Tag question:
I've got a meeting this afternoon, _______?

I have got a meeting this afternoon, haven't .....

14. Why do we use question tags in conversation?

Question tags are the short questions that we put on the end of sentences. Questions tags are particularly used in spoken English. They are mainly used in speech when we want to: - confirm that something is true or not, or - to encourage a .....

15.  नैतिक शिक्षा र अनुशासन (निबन्ध)

नैतिक शिक्षा र अनुशासन (निबन्ध)
अनुशासन शब्द .....

16. Manfred Steger, the professor of global studies, has defined the four dimensions of globalization. Explain them in short.

Cultural globalization: Cultural globalization is the intensification and expansion of cultural flows across the globe. Culture is a very broad concept and has many facets, but in the discussion on globalization, Steger means it to refer to .....

17. ८. कोष्ठकमा दिइएको निर्देशनअनुसार तलका वाक्य परिवर्तन गर्नुहोस् :
क) राति जून, तारा र बादल देखिनेछन् । (कर्तृवाच्य)
ख) पेम्बाले बजारबाट पुस्तक ल्याएछ । (अकरण)
ग) उसले मह काढ्छ । उसले हात चाट्छ । (वाक्य संश्लेषण)
घ) सिपाहीहरू लडाइँमा हार्छन् । (प्रेरणार्थक)

८. (क) हामी राति जून, तारा र बादल देख्नेछौँ । (ख) पेम्बाले बजारबाट पुस्तक ल्याएनछ । (ग) जसले मह .....

18. (ख) समास भए विग्रह र विग्रह भए समास गर्नुहोस् :
चार ओटा बाटो भएको ठाउँमा उभिएर माल्दाइले पीताम्बरले बेरेर ल्याएको मृत मानिस को रहेछ भनेर सोधे ।

६.(ख) चौबाटो माइला दाइ पीत छ अम्बर .....

19. ६. क) तलका उपसर्ग र प्रत्यय लगाई एक एक ओटा शब्द बनाउनुहोस् :
सूर्यमुखी फूलले पूर्वतिर फर्किएर सूर्यलाई स्वागत अभिवादन गरिन् । सौन्दर्यले भरिएका धmरनाले सङ्गीतको धुन निकाले । हामी लेकाली दृश्य हेर्दै रमायौं ।

६.(क) उपसर्ग लागेका शब्द सु+आगत अभि+वादन सम्+गीत प्रत्यय लागेका .....

20. ५. रेखाङ्कित शब्दको शब्दवर्ग पहिचान गर्नुहोस् :
हरिले एउटा उपन्यास ल्याइदिएको थियो तर पटक्कै पढ्न मन लागेन । नबुझेर हो कि मलाई त मनै परेन ।

५. एउटाः विशेषण तरः संयोजक मनः नामपद नबुझेरः क्रियाविशेषण मः सर्वनाम परेनः .....

21. वाक्य बनाऊः अाच्छादित

आच्छादितः (ढाकिएको, छोपिएको) हिमालहरु हिउँले आच्छादित हुन्छन् ।  हिमाच्छादित हिमालहरु सेता .....

22. वाक्य बनाऊः तोरीको फुल देख्नु

तोरीको फूल देख्नुः (धेरै पीडा हुनु) चकचक गर्दा आमाले दुई झापड हानेपछि निकिताले तोरीको फूल देखी .....

23. Write any two uses of butene.

The uses of butene are as follows. It is used in making polymers.  It is used in petrochemical processes.  It can be used in the production of synthetic .....

24. Prove that: Cosec2A + cosec4A=cotA - cot4A.

Here,      Cosec2A + cosec4A=cotA - cot4A. or, Cosec2A + cot4A=cotA - cosec4A. LHS = Cosec2A + cot4A = 1/Sin2A+Cos4A/Sin4A      [ Since, cosec = 1/sin and cot = cos/sin.]

= 2cos2A/(2cos2A.sin2A) .....

25. Write three uses of butyne.

.....

26. वाङमय अर्थ र वाक्य भनेको के हो ? 

वाङ्मयः (भाषाको माध्यमबाट व्यक्त विचार) नेपाली वाङ्मयमा धेरै साहित्यकारले कृति प्रकाशित गरी .....

27. Read the given advertisement and answer as questioned:

                                          VACANCY ANNOUNCEMENT

The leprosy mission Nepal [TLMN] is looking to recruit;
1. Project Manager(1): Kanchanpur, Kailali, and Bajura for livelihood and income generation project
2. CBR Coordinator(All TLMN programmes)(1): TLM Nepal country office

Requirements for the Project Manager:
. master in Social-work, Sociology, business administration, any other management or relevant field.
. At least five years of working experience in CBR, working in project planning, implementation, management[including financial management], monitoring and evaluation proposal/report writing, strong computer skill.

Requirements for CBR Coordinator:
. Master's degree in Social work, rural development and or any other relevant field with experience in Disaster Risk Reduction
. At least three years of working experience in CBR, project planning, implementation, management, monitoring and evaluation.
. Excellent reporting and computer skill.

Interested candidates are requested to send their complete application [CV and cover letter] mentioning the salary exception to info@timnepal.org, HR Manager TlM Nepal by April 20, 2018


A. State whether the given statements are true or false:

    a. For both programmes, the required qualification is a Master's degree.
    b. Computer skill is not required for the CBR Coordinator.
    c. The project manager has to work in Kathmandu.
    d. It is a business advertisement.

B. Answer these questions:

   a. What are the vacancies searched by TLMN?
   b. What experience should the project manager should have?
   c. What is the academic qualification for CBR Coordinator?
   d. How can the candidates apply for the post?
   e. How many vacancies are announced in the advertisement?

B.  i. The vacancies searched by TLMN are project manager and CBR coordinator.  ii. The project manager should have the working experience of five years of working experience in CBR, working in project planning and so .....

28. The trees in the terai region are big and tall.Why

Answer: The trees grow tall in Terai region to get more sunlight for photosynthesis. Explanation: Depending on the surrounding competition for sunlight they will grow to a height that allows them to maintain the level of photosynthesis .....

29. Why synodi month longer than sideral month?

.....

30. If f(x) = x2 - 1/x2, prove that: f(2a) + f(1/2a) = 0.

Here,  f(x) = x2 - 1/x2, So,  LHS =  f(2a) + f(1/2a) = (2a)2 - 1/(2a)2 + (1/2a)2 - (1/(1/2a))2  [ Since, put x = 2a to find f(2a) and put x = 1/2a to find .....

31. In 22 march day and night is equal all over the world..Why

Fun facts: the equinoxes don’t always fall exactly on the dates you mentioned. Sometimes they move around a day in either direction. Also, technically speaking, light and dark are not precisely equal on the day of the equinox, because of .....

32. Find the lcm of 6(x2-9), 15(x2+27)

Here,  First expression = 6(x2 - 9) = 2.3(x2 - 32) Using formula a2 - b2 = (a + b)(a - b), we get = 2.3(x + 3)(x - 3) Second expresdsion = 15(x3 + 27) = 3.5(x3 + 33) Using formula a3 + b3 = (a + .....

33. What do you mean by old fold mountain?

Mountains that have rounded features and low elevation are called old fold Mountains. These mountains generally do not have pointed peaks due to erosional activities of exogenic forces. They have rounded peaks. Due to the erosional activities of .....

34. What is deuterium?

Answer: Deuterium is one of the isotopes of hydrogen. Explanation: It has one proton and one neutron. In contrast, the most common isotope of hydrogen, protium, has one proton and no neutrons. Because Deuterium contains a neutron, .....

35. What is peace?

Peace is the state of harmony. It is characterized by the lack of violence, conflict behaviors. Peace is the freedom from fear of violence.  Similarly, peace is the state of freedom and liberty where people can live in a harmonious .....

36. What are the two major types of market?

The types of market structures of any economy; -Perfect Competiton   The products on the market are homogeneous. All the firm tries to gain maximum profit. -Monopolistic Competition  They all do not sell homogeneous products. .....

37. बाल बािलिकापति हुने दव्यवहार अन्त्य गने उपायहरूको सूची बनाउनुहोस्

९) बालबालिका प्रति हुने दुर्व्यवहार अन्त्य गर्ने उपायहरुको सूची बनाउनुहोस् ।  उत्तरः .....

38. By selling 150 oranges, a fruit seller gains the selling price of 30 oranges. Find his gain percentage.

Here, to find profit % we have to find CP. So, Let SP of one orange be x, Then SP of 150 oranges = 150x And profit= SP od 30 oranges = 30x Now , CP=SP-profit= 150x - 30 x = 120x . Finally, profit %= Profit/CP ⨯ 100%       .....

39. What is hydroelectric?

Answer: Hydroelectricity or hydroelectric power is the electricity obtained by harnessing the power of water flowing down from a high level. It is a timeless and renewable resource.  Explanation: Huge generators  convert the potential .....

40. Write the structural formula of propane.
 

The structural formula of .....

41. How are colonialism and imperialism different from each other? Discuss and list the difference.

Colonialism and imperialism are often used interchangeably, but they are two different words having a different meaning. The difference between these two terms is shown in the table .....

42. A bank has fixed the rate of interest 10% semiaanully compounded interest in account A and 12% per annum annually compounded annually in account B. If you are going to deposit Rs.25000 for 2 years in the same bank, in which account will you deposit and why? Give your reason with calculation.

Here, for the account A, R = 10%  (semi-annually) P = Rs.25000 T = 2 yrs. CA = P( 1 + R/200)2T             = 25000( 1 + 10/200)4           [ Find it.] For the account .....

43. ८. कोष्ठकमा दिइएको निर्देशनअनुसार तलका वाक्य परिवर्तन गर्नुहोस् :
क) मैले समुद्रमा माछाहरू देखेको हुनेछु । (कर्मवाच्य)
ख) उसले किताब पढेन । (द्वितीय पुरुष)
ग) नौओटा नदीहरू मिलेर बनेको नदी नारायणी हो । (मिश्र वाक्य)
घ) छोरी गृहकार्य गरोस् । (प्रेरणार्थक)

८. (क) मद्वारा समुद्रमा माछाहरु देखिएका हुनेछन् । (ख) तैँले किताब पढिनस् । (ग) जुन नौवटा नदी मिलेर .....

44. समास र विर्गहः चतुर्भुज , हात खुट्टा

चतुर्भुजः चारवटा भुजा (हात) छन् जसका हात र खुट्टाः .....

45. वाक्य बनाऊः निर्वाचन

निर्वाचनः स्थानीय निर्वाचनमा धेरै जना व्यक्ति उमेदवारका रुपमा उठेका थिए .....

46. वाक्य बनाऊः छाँगाबाट खसे जस्तो हुनु

छाँगाबाट खसेजस्तो हुनुः मेरो मिलनसार साथीको अल्पायुमै मृत्यु भएको खबरले म त छाँगाबाट .....

47. Solve : SinA = cosA.   [ 0o ≤ A ≤ 90o]

Here,     sinA= cosA   or, sinA = Sin(90o - A)         [ Since, sin(90o .....

48. In the given figure alongside ABCD is a rectangle and DEFG is a //gm. If the area of //gm DEFG is 18cm2 and  area of ∆FEC = 4cm2, find the area of rectangle ABCD.

Here, Area of ∆ECD = 1/2 of area of //gm DEFG = 9cm2. [ //gm and ∆ on same base and between same //s.] So, Area of ∆CDG = Area of .....

49. It was .....[a/an/the]  windy evening. I was pretending as if I was reading in my room. Way down .....[in/at/on] my heart, I couldn't help feeling that there was something in what grandmother had said. The Leaven of my grand parent's philosophy ......[was/were/has] working. 

I could clearly see that happiness, contentment, and peace depended more upon orderliness, thoughtfulness, and kindness than upon genius, spasmodic, or keeping up appearances, .......[couldn't I/could I/can't I]? .......[Although/However/Because] mother had been wonderfully courageous, father could hardly have claimed that virtue. What kind of mother would have had to be in order to have filled expectations of grandmother,...[was/is/were] difficult to imagine for me now? It makes me .....[to feel/fellfeel] all the time. Had I not been alone in the room I.[would have thought/did think/would think] so. Anyway, I believe that I ........[have learned/am learned/had learned]from my family. Then the door ..........[was knocked/knocked/would knock] and I was called by mother. 

It was a windy evening. I was pretending as if I was reading in my room. Way down in my heart, I couldn't help feeling that there was something in what grandmother had said. The Leaven of my grand parent's philosophy was working.  I .....

50. In the adjoining figure, length of GE = 24cm and BF = 36cm. If AB = BE, find the area of // ABCD.

Here,  Area of ∆BFE = 1/2 x BF x BE        [ Area of ∆ = 1/2 x b x h.]                        = 1/2 x 36cm x .....