Students and Teachers Forum

1. Write an essay on importance of games and sports.

Sports and games are very important for us. They keep us healthy and fit. They offer us a change from the monotony of daily life. It is a useful means of entertainment and physical activity. Sports and games help in character building. They give .....

2. Solve the following.
(0° ≤ x ≤ 360°)
cos3x = sin2x

On solving, you will get sinx = 0.309 or -0.809 sinx = 0.309 when x ≈ 18o and  sinx = -0.809 when x ≈ -54o = (360o - 54o) = 306o Therefore, the value of x = 18o and 306o .....

3. Find the ratio 27degree and 5 grade

Here, we have to find the ratio of 27o and 5g. We know,  1g = 9/10o or, 5g = 45/10o Now, 27o/5g = 27/(45/10)                      = 6/1 Thus, 27o:5g = .....

4. Prove that:
(coseca - cota)2 = (secA - 1)/(secA + 1)

LHS (coseca - cota)2 =1sina- cosasina2                            [ coseca = 1/sina and cota = cosa/sina ] = 1 - cosasina2              .....

5. Prepare any four placards that demonstrate universal brotherhood

.....

6. Suppose the elders of your community gave you the responsibility of organizing a program for the upcoming Marty day, what would be your plans and programs? Prepare in detail.

Martyrs are the people who suffered a lot and sacrificed their life and their own personal interest for the betterment and the upliftment of the nation. Each year on 16th. Magh, Nepal celebrate the martyr's day Martyrs’ Day is a day .....

7. Write a letter to the museum of nepali folk songs and musical instruments in Kathmandu to take good initiative for the preservation of such instruments.

29th. Oct 2018 .....

8. Draw an outline map of Nepal and locate all the heritage enlisted in the world heritage list by UNESCO.

The UN governing body UNESCO identified World Heritage Sites as places that belong to all the people in the world. Nepal also has few monuments inscribed on the World Heritage lists. These heritage sites are amazing man-made wonders. Some of .....

9. Prove that: 1+tan2⁡πc4-θ41-tan2⁡πc4-θ4 = cosec θ2

Here, LHS = [1 + tan2 ⁡ (πc /4 - θ/ 4) / [ 1 - tan2 ⁡( πc /4 - θ /4)]     = sec2.(πc /4 - θ/ 4)              [ Since, sec2A = ( 1 + .....

10. Prove that:
1 - cosφ + cosψ - cos(φ + ψ)1 + cosφ - cosψ - cos(φ + ψ) = tanφ2 . cotψ2

1 - cosφ + cosψ - cos(φ + ψ)1 + cosφ - cosψ - cos(φ + ψ) = {1 - cos(φ + ψ)} - (cosφ - cosψ){1 - cos(φ + ψ)} + (cosφ - cosψ) = {1 - cos2φ + ψ2} - (cosφ - cosψ){1 - .....

11. Prove that:
sinα.sin2α + sin3α . sin6αsinα . cos2α + sin3α . cos6α = tan5α

Here, use the formula of 2sinAsinB and 2sinAcosB from the following list. LHS sinα.sin2α + sin3α . sin6αsinα . cos2α + sin3α . cos6α = (2sinα.sin2α)/2 + (2sin3α . .....

12. Prove that: (sin10α - sin2α)(cos6α + cos2α)(cos10α + cos2α)(sin6α + sin2α) = 1

(sin10α - sin2α)(cos6α + cos2α)(cos10α + cos2α)(sin6α + sin2α) = (2cos12α/2 . sin8α/2)(2cos8α/2 . cos4α/2)(2cos12α/2 . cos8α/2)(2sin8α/2 . .....

13. The table shows result obtained after crossing white (W) rabbit and black (w) rabbit.





a) Which pair of gene indicates pure white and pure black rabbit?

b) What is the number of hybrids in this generation?

 

a) (WW) indicates pure white and (ww) pure black b) 50% of the offspring are .....

14. What do you see in a globe?

The above is the figure of a globe. It is a model of our earth. A glove shows us many things like: our location the continent where our nation is located our other neighbouring nations the tilt of our earth oceans and the seas high .....

15. कम्प्युटरलाई किन मानव मस्तिष्कसँग तुलना गरिन्छ ?

उत्तरः कम्प्युटर र इन्टरनेट

विश्व अहिले कम्प्युटर युगबाट गुज्रिरहेको अवस्था छ । .....

16. An object with height of 2cm is palced 10 cm away from a convex lens. If the focal length of this lens is 20 cm , what is the image distance and height of image? Show with a ray diagram.

Height of object = 2cm

Object distance= 10cm

Focal length = 20cm

1/f = 1/v +1/u

-1/20 = -1/10 +1/v

1/v = 1/20

v = 20 cm

Height of image/Height of object = -v /u

Height of image / 2 = .....

17. Fill in the blanks
a. The motion of a merry -go -round is..... Motion.
b. When a body moves, it said to be in.......

a) Circular motion b) .....

18. Name any two alloys and their corresponding composition .

An alloy is a mixture of two or more metals. Some familiar examples of alloys include brass, bronze, pewter, cast and wrought iron, steel, coin .....

19. Draw a figure to prove that iron is a good conductor of heat.

Iron is a good conductor of heat because metals have metallic bond which contains free electron. These free electrons are responsible for the ability of metals to conduct electricity conduct heat especially .....

20. Prove that:
cosA - √(1 + sin2A)sinA - √1 + sin2A) = tanA

LHS, = cosA - √(1 + sin2A)sinA - √1 + sin2A) = cosA - √(sin2A + cos2A + 2sinAcosA)sinA - √(sin2A + cos2A + 2sinAcosA) = cosA - √(sinA + cosA)2sinA - √(sinA + .....

21. Prove that:
 1+sinθ1-sinθ=tan⁡πc4+θ2

πc/4 = 45° and let θ/2 = α. Then, RHS tan(45° + α) = 1 + tanα1 - tanα = 1 + sinα/cosα1 - sinα/cosα = (cosα + sinα)/cosα(cosα - .....

22. If x = 3,y = -2, find the value of 2x + 3y.

Here, x = 3 and  y = -2 2x + 3y = ? Substitute the value of x and y in the above equation, you will get 2x + 3y = 2 × 3 + 3 × (-2)              = 6 - 6         .....

23. निन्द्र कथाले जहनिये राणाहरुको के कस्तो प्रकृतिलै चित्रण गरेको छ ।बिबेचन गर।

उत्तरः चन्द्र शमशेरको बेचैनी र छटपटाहटको कारण भनेकै आफन्तहरूको हत्या हो । अपराध .....

24. Write a short readable story with the help of following outlines. Give suitable title too.
a man walking along a beach ......Sees a girl moving back and forth.....Finds thousands of starfish on sand ......Picking them up one by one and throwing into sea.....Man asks her to stop the work as she can't make difference to many of them.........She throws one more saying "it surely made a difference to that one."....Moral

An ordinary person  
Once upon a time, there was an old man who used to go to the ocean to do his writing. He had a habit of walking on the beach every morning before he began his work. Early one .....

25. What is magnesium ribbon used for???

Magnesium's high burning temperature makes it a useful tool for starting emergency fires during outdoor recreation. Other uses include flares, other emergency signals, pyrotechnics and fireworks .....

26. There are 20 toys of same shape and size in a box. Out of them, 12 are red coloured and remaining are blue coloured. If two toys are drawn randomly in succession (without replacement), show the probabilities of all possible outcomes in a tree-diagram.

Let us represent blue balls by B and reb balls by R. There are 20 balls and 12 are blue balls. Total number of red balls = .....

27. The sun of recriprocal of two consecutive even number is 7/24 find the number.

Comparing the above equation with quadratic equation ax2 + bx + c = 0, we get  a = 7, b = -34 and c = -48 We know, if ax2 + bx + c = 0, then x = -b±b2-4ac2a Substituting the respective values in the formula, we get x .....

28. Find the value of x if the third quartile of the data given below is 128.
Wager (Rs./hr) 0-30 30-60 60-90 90-120 120-150 150-180
Number of workers 2 6 22 24 x  9

The cumulative frequency table for the given table is given as;   Wager Rs./hr (x) frequency .....

29. Prove that the area of a rectangle is equal to the area of parallelogram standing on the same base and between same parallel lines.

Here,  QC is the height of both rectangle and parallelogram.   (i) area of the rectangle ABCQ = BC x QC (i) area of the rectangle = length x breadth   (ii) area of the parallelogram PBCD = PD x QC = BC x .....

30. The sum of reciprocals of two consecutive even numbers 9/40. Find the numbers.

9x2 - 62x - 80 = 0 or, 9x2 - (72 - 10)x - 80 = 0 or, 9x2 - 72x + 10x - 80 = 0 or, 9x(x - 8) + 10(x - 8) = 0                  [Taking common] or, (x - 8)(9x + 10) = .....

31. Factorize:
x2 + x - 12

x2 + x - 12 = x2 + (4 - 3)x - 12               = x2 + 4x - 3x - 12 = x(x + 4) - 3(x + 4)            [taking (x + 4) common] = (x + 4)(x - .....

32. Prove that:
cos(πc4 + α4).sin(πc4 - α4) = 12 (1 - sinα2)

LHS = cos(πc4 + α4).sin(πc4 - α4) = 12 {2 . cos(πc4 + α4).sin(πc4 - α4)} = 12 {sin(πc4 + α4 + πc4 - α4) - sin(πc4 + α4 - πc4 + α4)} = 12 {sin2πc4 .....

33. Prove that:
sin10o - cos40o = -√3 sin20o

RHS -√3 sin20o = -2 × (√3/2) × sin20o                             = -2.sin60o.sin20o                .....

34. Ten animals name with their scientific name.

Animals                   Scientific name Dog                        Canis lupus familiaris Cat          .....

35. What are the problems related to tourism in Africa? Write any four.

Tourism is one of the fastest growing industries in Africa. The development in the tourism sector brings challenges as well as opportunities for local communities and individuals. Some of the problems related to tourism in Africa .....

36. Many people still call Africa a dark continent. Justify that Africa is no more a dark continent given its prospect of development.

Africa shrugged off the demeaning tag of poverty, darkness, war and disease that it has been known for, for a long time. The picture of wars, hunger and dirt is fast being replaced by that of sunshine, improved infrastructure, wealth and a better .....

37. Simplify: 
√3(91/4 + 1/√3)

√3(91/4 + 1/√3) = 31/2(32 × 1/4 + 1/31/2) = 31/2 × 31/2 + 31/2/31/2 = 31/2 + 1/2 + 31/2 - 1/2 = 31 + 30 = 3 + 1 ​​​​​​​= .....

38. Simplify: 
1+pqpp-q.1-qpqp-qpq+1pp-q.qp-1qp-q

Here, 1+pqpp-q.1-qpqp-qpq+1pp-q.qp-1qp-q                             [taking LCM] = q+pqpp-q.p-qpqp-qp+qqpp-q.q-ppqp-q              .....

39. Why should respect the life and culture of all people living in the country?

Culture is a set of beliefs that a region or group has learnt over thousands of years. Culture includes ideas about art and music, as well as bigger ideas about religion and society. Nepal is a multicultural, multilingual and mutlireligious .....

40. Wap to generate the series 2,4,6,8.....

DECLARE SUB SERIES ( ) CLS CALL SERIES END SUB SERIES A = 2 FOR I = 1 TO N PRINT A, A = A + 2 NEXT I END .....

41. Wap to input three different numbers and print their products.

CLS  Input " Enter any number" ;A Input " Enter any number" ;B Input " Enter any number" ;C Let Product = A*B*C Print "the Product =" ; .....

42. A car is moving with velocity of 20m/s and attends an acceleration of 5m/s. Calculate the velocity of the body after 2 second.

 

Initial Velocity (u) = 20 m/s Acceleration (a) = 5 m/s Time (t) = 2 second  Final velocity (v) = ? By using formula, v = u + at Solve .....

43. पहिले र अहिले को दशै मा देखियेको भिन्नत लेक्नुहोस

पहिले र अहिलेको दसैँ
नेपालमा वर्षभरि विभिन्न .....

44. Write any two properties of each silver and gold.

Properties of Gold Gold is also highly malleable and ductile. Gold is able to conduct both electricity and heat rather .....

45. The students of a school were asked to participate in a competition for making and decorating pen holders was to be of 3cm radius and height 10.5cm.The school was to supply the competitors with cardboard. If there were 35 competitors, how many card board were required to be bought for the competition

Please provide complete information in the .....

46. Thirteen cylindrical pillars of a house are to be cleaned in a festival. If the diameter of each pillar is 0.25m and height is 4m.What will be cost of cleaning them at the rate of rs 7 per square meters.

Here,  the rate of cleaning pillar = Rs. 7 We know,  total cost = total area × rate  or, total cost of cleaning the pillars = curved surface area of all three cylindrical pillars × rate of cleaning .....

47. A milk tanker cylindrical in shape having diameter 2 metres and length 4.2 metres supplies milk to two booths in ratio 3:2.One of the milk booths has a rectangular vessel having base area is 6.96m^2 and other has cylindrical vessel of diameter 2 metres. Find the level of milk in each of the vessels

In the first booth,  volume of the vessel filled with milk = 31680 litres or, base area of vessel × height to which milk is filled = 31680 litres or, 6.96 × h = 31680/1000             .....

48. A traffic signal board indicating "school ahead"is equilateral triangle with side "a"cm.Find the area of the signboard using heron's formula. If that perimeter is 180cm

Here, Perimeter of an equilateral triangle = 180 cm The length of the sides of the triangle = 180/3 cm                                         .....

49. How did you celebrate dashain and tihar . Describe in paragraph

Write it in your own .....

50. Read a book of your choice and prepare the review on it including the following components.
a. Title
b. Page
c. Author
d. Genre
d. Publisher
e. Language
g. Price
h. Year of publication

Name of the Book: Summer Love

Publisher: Fine Print

Author: Subin Bhattarai

Genre: Love Story

Characters: Atit, Saya, Kiran etc.

Year of Publication: 2069 BS

"Summer love" by Subin .....