Students and Teachers Forum

1. In the given figure, the square based solid pyramid has vertical height 24cm and slant height 26cm, find its total surface area of the volume.

Here, We need to find length of side of base(a). So, a =2 √(l2 - h2)   Find a, you will get a = 20cm. Then  TSA = Area of base + LSA  = a2 + 2al             where, l = .....

2. The given figure is a solid object formed by a cylinder and a hemisphere. If the total length of that solid object is 64 cm and length of the cylinder is 50 cm, find the total surface area of the solid object.

Here, Radius of solid = r  = total length -  length of cylinder = 64 - 50 = 14cm. Now,  TSA of solid = Area of base + CSA of cylinder + CSA of hemisphere                       .....

3. All the bill can be proposed in both houses except the financial bill. Why?

If any question arises whether a Bill is a Money Bill or not, the decision of Speaker thereon is final. The Speaker is under no obligation to consult any one in coming to a decision or in giving his certificate that a Bill is a Money Bill. The .....

4. If θ=90o and x→+y→=0, prove that x2+y2=0

Here,  x→+y→=0,  Squaring it, we get (x2 + 2 vector x. vector y + y2 )= 0 or,  x2 + 2⨯ 0 +y2 = 0             [ vector x . vector y = 0, since, angle is .....

5. Multiply: 
(tanβ + cotβ​​​​​​​) by cotβ​​​​​​​

Here, cotβ ( tanβ + cotβ) = cotβ.tanβ + cotβ cotβ = cotβ . 1/cotβ + cot2β    [ Since, tan = 1/ cot.] = 1 + cot2β              .....

6. Multiply: 
(cosecβ - secβ​​​​​​​) by secβ​​​​​​​

Here,  secβ (cosecβ - secβ)  =  secβcosecβ - secβsecβ = secβcosecβ - .....

7. Describe the methods of fruits storage in the zero degree temperature.

You have not focused on developing your creativity. So, I have presented you the text regarding the methods of fruits storage in the zero degree temperature. Now, your task is to describe the methods of fruits storage in the zero degree .....

8. Difference between pulmonary artery and pulmonary vein in a table

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9. In the first term and third term of an AP are (a + b)2 and (a - b)2 respectively. Find its fifth term.

Here,  Let A be the first term and D be the common difference . Then, t3 = A + 2D          [ tn = A + (N - 1)D.] or, ( a - b)2 = (a + b)2 + 2D or, 2D = a2 - 2ab + b2 - a2 - 2ab - .....

10. Name the various parts of circulatory system

The various parts of circulatory system are The Heart. The Blood Vessels.  Red Blood Cells White Blood Cells Platelets .....

11. Trimming helps in maintaining the health of fruits plant. Do you agree?

Definitely, trimming helps in maintaining the health of fruit plants. - Proper trimming can improve the health of the fruit plants by eliminating branches that are dead or dying. - It improves the overall appearance and structure of the fruit .....

12. If the 19th term and 21st term of an ap are 1000 and 10 respectively, find it's 20th term.

Short method: We khow,  t20 = [ t19 + t21] / 2 = 1010/2 = 505. Next method: Here, Let a be the first term and d be the common difference of given AP. Then, t19 = 1000 or, a + 18d = 1000......................(i)  .....

13. Describe the advantages of trimming the fruits plant.

The advantages of trimming the fruit plants are as follows: - Proper trimming can improve the health of the fruit plants by eliminating branches that are dead or dying. - It improves the overall appearance and structure of the fruit plants. - It .....

14. What type of mixtures are suitable to be seperated by using chromatography? Which property of mixtures should be known before applying fractional distillation?

 Chromatography can be used to separate mixtures of coloured compounds. Mixtures that are suitable for separation by chromatography include inks, dyes and colouring agents in food. Simple chromatography is carried out on .....

15. कुनै पनि औषधी सेवा गनुपूव बिसनै नहुने कुरा के हो?

(क) रोगअनुसारको औषधि ठीक छ कि छैन विचार गर्ने । (ख) औषधि प्रयोग गर्ने अवधि बाँकी छ कि छैन हेर्ने .....

16. What is crystals? Give any one example of mixture which can be seperated by using distillation.

One example of a simple distillation mixture is separating saltwater to create pure water and salt. During the distillation process, the water starts to evaporate, and that vapor then cools down to form pure water. The pure water is collected in .....

17. प्राणी र वन्सपतिका बिचमा रहेको अन्योन्यशृत सन्बन्धले पृथ्वीमा जीवनको अस्तित्व सम्भव भएको छ। वाख्य गर्नुहोस।

उदहारणः १. घाँस २. खसी ३. मानिस ४. मृत्यु  

अब यहाँ इको साइकलको फर्मुला प्रयोग .....

18. How does judiciary control over executive and legislature?Write in 5 point with full background

There are three main organs of any government. They are Legislature, Executive and Judiciary. These three main organs of the government play a key role for the smooth running of a nation. Each has their own roles and responsibilities. They work .....

19. solving the equation by completing the squares : 2x^2-5x+2=0

We have given, 2x2 - 5x + 2 =0 or, 2( x2 -5x / 2 + 1) = 0 or, x2 -5x / 2 + 1= 0 or, x2 - 2.x .5/4 + (5/4)2 - (5/4)2 + 1 = 0 or, (x - 5/4)2  = 25/16 - 1        [ Since, a2 - .....

20. What gives birth to social evil in our society?

Social evils occur due to the following reasons: - Illiteracy - Strong beliefs upon religious norms and values. - Superstitions, - Poverty, unemployment and inequality, .....

21. A pyramid having height 8cm is placed on the top of cubical object .If the measure of the cube is 12cm, find total volume of combined object

Let a be the side of cube = 12cm and h be the height of pyramid  = 8cm Then,  Volume of solid = Volume of cube + volume of pyramid                           = a3 + .....

22. If x degree is the exterior angle and 50 and 60 degree are its opposite interior angles of a triangle .Find x

According to your qustion,  x degree is the exterior angle and 50o and 60o  its opposite interior angles of a triangle. Thus,  x = 50o + 60o   [ Since,   the exterior angleis equal to the sum of  .....

23. The diagram shows a running track with a straight of 100m and two semi circle ends of diameter 56 cm calculate the total distance around the track and the total surface covered by the track

Can you post the diagram .....

24. किसानलाई किन धर्तीको कर्मवीर सन्तान भनिएकाे छ?

कविले किसान, ज्यामी र सिपाहीको उदाहरण दिएर नेपालको विविधता र नेपालीको .....

25. Differentiate between the seed reproduction and vegetative reproduction.

Seed reproduction Vegetative reproduction 1. It is sexual reproduction. 1. It is asexual reproduction. 2. Male and female gamate fuse resulting off spring. 2. It involves a single parents.  3.The .....

26. The meter of a taxi starts with a reading of rs 15 and then runs up rs 14 for each kilometre travelled. How much should be paid for a journey of 12 kilometer.

Here, Cost of 12km = 12 ⨯ Rs.14 = Rs.168 Total cost with Rs.15 charge = Rs.168 + Rs.15 = ................Find .....

27. Trimming helps in maintaining the health of fruits plant. Do you agree?

Fruit tree trimming is the cutting and removing of selected parts of a fruit tree. Trimming is removal of young shoots, buds, and leaves. Trimming can control growth, remove dead or diseased wood, and stimulate the formation of flowers and fruit .....

28. The length of the sides of a triangle are in ap. If the perimeter of a triangle is 27cm and the length of a shortest side is 6cm ,prove that length of the longest side is 12cm.

Let,  others two sides are 6 + d and 6+ 2d. From the question, 6 + 6 + d + 6 + 2d = 27 or, 3d = 9 or, d = 3. Now, longest side = 6 + 2d = ..................Find .....

29. A girl need 20 kg of water at 36⁰ C to take a bath her water is only at 16⁰ C. Calculate the minimum amount of heat heat energy she requries to heat the water to the required temperature.

Given, mass of water (m) = 20 kg initial temperature (t1) = 16⁰ C final temperature (t2) = 36⁰ C change in temperature (dt) = t2 - t1 = 36⁰ C - 16⁰ C = 20⁰ C  specific heat capacity of water (s) = 4200 .....

30. Write down the nature of climate of Africa in various climatic regions.

d) The Mediterranean Climate: - Winter rainfall occurs in this region. - Summers are hot and dry but winters are wet and warm. e) Temperate Grassland: -  -  -  Note: Write about the Temperate Grassland on your .....

31. If 600 j of energy of heat is added to 20 gm of water what will be the rise in temperature? Specific heat capacity of water=4200j kg-1 0C-1.

By the question, Q = 600j m = 20 gm [convert into kg] t = ? c = 4200k/kgoC By using formula, Q = cm Δ t solve .....

32. How to write a balanced chemical equation?

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33. Simplify:
3x-2 + 3x = 10/9

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34. The price of a flash drive is Rs 200. If amount of VAT is Rs. 20 then find the rate of VAT. 

Here,  VAT = Rs.20 Price = Rs.200 We know, VAT % = VAT amount / Price ⨯ 100%             = Rs.20/Rs.200 ⨯ 100% Find .....

35. Write short note on :
a) Shield Budding
b) Bark Grafting
c) Splice Grafting
d) "T" budding
e) Ring budding
f) Whip grafting

Bark grafting is used primarily to top work flowering and fruiting trees. In contrast to cleft grafting, this technique can be applied to rootstock of larger diameter (4 to 12 inches) and is done during early spring when the bark slips easily .....

36. A mobile set costs Rs. 40000 without VAT and Rs. 44444 including VAT. Find the VAT amount.

Here, Cost without VAT = Rs.40000 Cost with VAT = Rs.44444 VAT amount = ? We know,  VAT amount = Cost with VAT - cost without VAT                       = Rs.44444 - .....

37. A laptop costs Rs. 45000 without VAT and Rs. 48500 including VAT. Find the VAT amount. 

Here, Cost without VAT = Rs.45000 Cost with VAT = Rs.48500 VAT amount = ? We know,  VAT amount = Cost with VAT - cost without VAT                       = Rs.48500 - .....

38. समाजवाद उन्मुख समृद्ध राष्ट्र निर्माणको आधार, दक्ष जनशक्ति विकास एवम् दिगो शैक्षिक पूर्वाधार

समाजवाद उन्मुख समृद्ध राष्ट्र निर्माणको आधार, दक्ष जनशक्ति विकास .....

39. Marked price of an article is Rs. 1000. What is the selling price with 13% VAT?

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40. The marked price of an article was fixed to Rs. 1200 by increasing 20% in its actual price. Find its actual price. 

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41. Price of a pen is Rs. 200. If the price is discounted by Rs. 40, what is the discount percentage?

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42. The marked price of a calculator is Rs. 1000. If 10% discount is allowed, what is the selling price of it?

Here, MP = Rs.1000 Discount % = 10% SP = ? We know, SP = MP - D% of MP       = Rs.1000 - 10/100 ⨯ Rs.1000 Find .....

43. If marked price (a), cost price (b), profit percent (c%) and discount percent (d%) then write the relation among a, b, c and d.

Here,  SP = MP - Discount % of MP = a - ad/100 We know,  SP = CP + P% of CP or, a - ad/100 = b + bc/100 Which is required .....

44. If marked price ( MP ), cost price ( CP ), Discount ( D )% and loss ( L ) %, write the formula to calculate marked price.

Here, Price after discount = SP = MP - D% of MP = MP - MP⨯ D/ 100 Again,  SP = CP - Loss or,MP - MP⨯ D/ 100 = CP - L From this, simplify and find .....

45. If marked price ( MP ) , cost price ( CP), discount(d) % and profit(P)%, write the formula to calculate marked price. 

Here, Price after discount = SP = MP - D% of MP = MP - MP⨯ D/ 100 Again,  SP = CP + Profit% of CP or,MP - MP⨯ D/ 100 = CP + P ⨯ CP/100 From this, simplify and find .....

46. If the selling price of an article is Rs x and VAT included price is Rs y, what is the VAT percent?

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47. If the selling price of an aritcle is Rs x and VAT amount is Rs y , what is the rate of VAT?

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48. If the selling price of an article is Rs x and VAT included price is Rs y, what is the VAT amount?

VAT amount = Selling price of the article with VAT - Selling price of the article                      = y - .....

49. If the selling price of an article is Rs x and the rate of VAT is y %, what is the price including VAT?

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50. Write the formula to calculate the VAT percent when selling price with VAT and selling price without VAT are given.

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