Students and Teachers Forum

1. Find the unknown angle. 

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2. Find the distance between the parallel lines 4x-6y+20=0 and 6x-9y+20=0

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3. 480 m of wire is required to fence a square pond with three rounds.
(i) What is the length of wire required for one round?
(ii) What is the perimeter of pond ?
(iii) Find the length of the pond.

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4. Prime numbers between 0 to20.

A prime number is a natural number greater than 1 that can not be formed by multiplying two smaller natural numbers. Prime numbers between 0 to 20 are  2, 3, 5, 7, 11, 13, 17, .....

5. If a - 1a = 25, find the value of a2 + 1a2 - 27

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6. How is the eating habit of the snake?

Snakes capture various animals as prey. Many species eat only certain types of prey.  Some  snakes, for example, eat almost exclusively toads Water snakes prey mostly on fishes and frogs, and the tree-climbing rat snakes eat mainly .....

7. Simpify: 7p - 5q - 2(2p + 8q)

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8. What is yuj?

Yuj is a Sanskrit root word which means ' to yoke' , 'to unite' , 'to add' or 'to .....

9. सर्वनाम कति प्रकारका हुन्छन् ?

सर्वनाम पाँच प्रकारका हुन्छन् । पुरुषवाचक सर्वनाम = म, तिमी, उनी (पुरुष वा स्त्री दुवैलाई .....

10. Legislature is the most important organ of the state. Justify.

Similarly, a legislature is the body of elected representatives. The representatives are elected by the people through election. And the elected members from the legislature. They are responsible for the peace and prosperity of the .....

11. How does life process take place?

Life processes are the series of actions that are essential to determine if an animal is alive. Living things have certain life processes in common. There are seven things that they need to do to count as being alive. The phrase MRS GREN is a .....

12. What is the human body?

The human body is made up of a head, neck, two arms and two legs. The average height of an adult human is about 5 to 6 feet tall. The human body is made to stand erect, walk on two feet, use the arms to carry and lift, and has thumbs on each .....

13. What is our national flower?

Rhododendrons are the national flower of .....

14. What is periodic table?

A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical .....

15. If a + b + c = 0, then prove that : 11 + xa + x-b + 11 + xb + x-c +11 + xc + x-a = 1

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16. how to write condolence

See the example below. Date of Birth ...................                            Date of death ......................... I express my deep sympathy and grief at the sudden .....

17. Construct the square of PQRS whose length of a diagonal PR = 7 cm.

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18. Write any eight roles that a citizen should play in the federal democratic republic system and explain any two of them briefly.

Participation in the election: A development of the federal republic depends upon the timely election. The people should vote for the right people to the parliament. The people should encourage the political parties to maintain the .....

19. Simplify: 126÷2{4+(15-7)}

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20. write a short readable story with the help of the following outlines. Give a suitable title too.
a fox hungry........sees a crow with a piece of cheese.....fox wishes to have cheese......begging to praise the crow.....asks to sing......the crow pleased and crows....... cheese falls down......the fox eats......moral.

A long long time ago, in a big jungle lived a fox. He was very clever. Every day he survived on the things it snatched from other. One day the fox set off on his journey to manage something for his dinner. As he was .....

21. construct a frequency table for the following data and find the quartile deviation and its coefficient.
12,13, 14, 13, 12,15,14,15,12,13,15,12,14,15,18,13,14,15,12,15,14,13,16

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22. Principal = Rs. 3500
Rate = 10%
Interest = Rs. 1000
Find Time.

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23. What is smoking?

You know that smoking causes lung cancer. It also causes tuberculosis. Similarly, you might have heard that smoking is injurious to health. The government of Nepal has banned the advertisement of smoking, tobacco on radios and .....

24. Prove that: tan4 θ + sec4 θ = 1 + 2 tan2 θ.sec2 θ

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25. Differentiate between VAT, Custom duty and Excise duty.

Some of the differences are: VAT Custom duty Excise duty VAT is levied on the consumption of goods. Customs duty is levied during the import of the goods. It is levied on the manufacturer of the good. It is .....

26. Which part of tulasipatra is used as a medicinal plant?

Leaves of tulsipatra is used as a medicinal .....

27. What are principal economic activities done in Australia?

The major economic activities of Australia are as follows: - Sheep and Cattle rearing Sheep and cattle rearing is the main occupation of Australia. It has the largest number of sheep in the world and produces about 30% of the world's total .....

28. Solve:
2(x-15)=5(x-11)±4

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29. Factorise:
x2 + 1/x2 + 2 - 2x - 2/x    Ans: (x + 1/x) (x + 1/x - 2)

Here, x2 + 1/x2 + 2 - 2x - 2/x  = x2 + 2x . 1/x + 1/x2  - 2x - 2/x  = ( x + 1/x)2 - 2( x + 1/x)         [ using, a2 + 2ab + b2 = (a + b)2] = ( x + 1/x)[  x + .....

30. Find the time of X locating in 140°E longitude if the time of Y located in 80°E longitude is 6:40 P.M.What will be the time of Z at 20°W longitude?

Again the difference in latitude between Y at 80o E and Z at 20o W is 80-(-20) =100o. We know that at each 15o longitude the time changes by 1 hour (60 minutes). So, for 100o difference, the time difference is (60 divided 15) x .....

31. Solve:
 x+8-x=4

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32. Find the area of given plane figure ∆ABC.

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33. In the given figure PQRS is a rhombus. If the area of the rhombus PQRS = 8 cm2 and ∡PQR = 60o, find the measurement of SR.

Here, ∡PQR = 60o Area of the rhombus PQRS = 8 cm2  or, QR x PQ sin∡PQR =8 cm2  or, SR x SR x √3/2 = 8 cm2            [ PQ=QR = SR] or, SR2 = 16/√3cm2 or, SR = 3.1cm Hence, .....

34. The present age of the father is thrice as old as the age of the daughter 5 years hence. If 2 years ago the age of the father was twice as old as the age of the daughter 8 years hence, find their present ages.

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35. Write down any 5 cures of Tejpaat.

Tejpaat (Cassia leaves) shown in .....

36. Given figure is a square based pyramid in which OP = 5√2 cm and AR = 13 cm. Find its total surface area.

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37. The volume of a square room of height 4 m is 180m3. Find the cost of painting its 4 walls ar the rate of Rs 10 per sq.m.

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38. The marked price of a watch is Rs. 2700. If allowing 2V% discount on the marked price and adding V% VAT, the value of the watch will be Rs. 2376. Find the rate of VAT.

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39. simplify:
1/9+3/4

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40. Which part to be used in tejpaat, the medicinal plants?

Leaf of Tejpaat is used as a medicinal .....

41. Change the following sentences as indicated in brackets: 
  1. We should obey the teachers. (into passive) 
  2. My teacher said to me, "Open your book." (into indirect speech) 
  3. This isa new pen. I like this pen. (join with relative clause) 

2.  a. The teacher should be obeyed by us. b. My teacher ordered me to open my book. c. This is a new pen which I .....

42. Simplify :
4x2y + 9xy2- 2 x2y + xy2

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43. Fill in the blanks with appropriate prepositions.

a.  We woke up _______ 7 am. (in, on, at)
b.  They dived _______ the pond. (onto, into, off)
c.  He is standing _______ 3 people. (between, in, among)
d.  A cat jumped _______ the wall. (over, up, into)
e.  I finished the race _______ two hours. (inside, outside, in)
f.  A tiger was stsnding _______ the road. (through, across,at)

Sambodhi Poudel, good .....

44. What is the power ten in ten?

The power ten in ten is written as 1010. which means 10 is multiplied 10 times. 1010 = 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × .....

45. How does respiration take place in plants?

3. Some waste products are harmless and then stored in the plant body as solid bodies.     Tannins, resins, gum, rubber and essential oils are some such wastes.     .....

46. What is the capital city of Spain?

Madrid is the capital city of .....

47. Two equal chords AB and CD of a circle with centre O intersect at P. Prove that AP = DP and BP = CP.

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48. Find the equation of a circle touching the y-axis and whose diameters are kx2 + 3xy - 2 (k - 1)y2 = 0 if the lines are perpendicular to each other. Ans: 2x - y = 0, x + 2y = 0

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49. A rectangular floor is 12 m long and 10 m broad. If it is to be paved with squared marbles of the same size, find the greatest length of each squared marble.

Here, Length of floor = 12m Breadth  = 10m HCF of 10 and 12 is 2. Hence, maximum length of each square is .....

50. How does ignorance cause rapid population growth?

The number of People living in the given location may be defined as the population of the given area. The change in the population is a natural phenomenon but ignorance causes the rapid population growth as: The couple tends to marry early which .....