Students and Teachers Forum

1. Divide:
6.25 / 2.5

= 6.25 ∕ 2.5 = .....

2. Solve by eliminination method:
4/(x + y) - 3/(x - y) = - 1
12/( x + y) + 5/(x - y) = 4.

We have given; 4/(x + y) - 3/(x - y) = - 1....................(i) 12/( x + y) + 5/(x - y) = 4..................(ii) Put  1/(x + y) = a & 1/(x - y) = b in (i) & (ii), we get           4a - 3b = - .....

3. In the ENT department of Bir Hospital on janiary 10, it was noted that 30 patient had eye problem , 32 had nose and 32 had throat problem 16 had eye and nose problem, 16 had nose and throat problem and 14 had eye and throat problem. If 6 patients had all three types of problems. Find how many had
i) at least one type of problem.
ii)eye problem only
iii) exactly one type of problem.
iv) exactly two types of problems.

Here, 30 patient had eye problem = n(E) , 32 had nose = n(N)  32 had throat problem = n(T) 16 had eye and nose problem = n(E∩T), 16 had nose and throat problem=n(N∩T) 14 had eye and throat problem = n(E∩T) & 6 patients .....

4. The angle with positive y_axis(0)=45° and the y-intercept(c)=7

Let us make the figure according to question. From the figure,  Inclination of line = θ=135o  So, slope = m = tan135o= - 1 Y - intercept = c = 7. So,  Equation of st.line  is  y = mx + c Now, put value of m .....

5. Multiply the sum of 1/3 and 1/4 by 3/7 then divide the product by 3. find the result.

Here,  According to question, [( 1/3 + 1/4) ⨯ 3/7 ] / 3 = [( 4+3)12⨯ 3/7 ] / 3 = [7/12 ⨯ 3/7 ]/3 = [1/4]/3 = .....

6. How many high courts are there in Nepal?

There are seven high courts one each in seven provinces in Nepal. - Biratnagar, Morang of Province 1 - Janakpur, Dhanusha of Province 2 - Patan, Lalitpur of Province 3 - Pokhara, Kaski of Province 4 - Tulsipur, Dang of Province 5 - Surkhet of .....

7. What is blood cancer?

Blood cancer is a type of cancer, where growth of blood cell are abnormal. Blood cancers are categorised into three .....

8. Write rules regulations to be followed in temple.

As you are visiting the Hindu nation Nepal, a country with many religious places especially Hindu and Buddhist temples. So there are some few rules that you should keep in mind while you visit the temples of Nepal.   1. Remove your shoes before .....

9. Prove that: Tan(π/4 + A/2)   = SecA + TanA.

Here,  LHS = Tan(π/4 + A/2) Using formula of Tan(A+B) = ( tanA + tanB)/( 1 - tanA tanB), we get           = ( tan45o + tanA/2)/( 1 - tan45o tanA/2)           [ .....

10. क्लारा जेटकिनको दोस्रो विवह कोसँग कहिले भयो र उनीहरूको दाम्पत्य जीवन कहिलेसम्म कायम भयो?

क्लारा र ओसिपको वैवाहिक जीवन धेरै लामो हुन पाएन । क्षयरोगबाट ग्रसित ओसिपको सन् .....

11. 30% of the students of school are boys which is 162.
(i) Find the total number of students in school.
(ii) Find the number of girls.

By question, Percentage of students who are boys = 30% Number of students who are boys = 162 i) Let the total number of students be x. Then, 30% of x = 162 0.3x = 162 x = 540 Hence, total number of students in the school is 540. ii ) Number of .....

12. The capacity of square room is 1280m3. If the cost of painting its 4 wall at Rs 8 m2 is Rs 2560. Find the cost of carpeting its floor at the rate of Rs75 per sq. meter.

Since the room is square in shape, we will have length and breadth same, but height differs. Given, Volume of the room = 1280 m3 Cost of painting 4 walls at Rs 8 per m2 = Rs 2560 Area of 4 walls = 2560 ∕ 8 = 320 m2 Using formula, Area .....

13. A shopkeeper fixed the marked pirce of his radio to make a profit of 30%. Allowing Rs 30 as a discount then the profit is Rs 30. Find the cost price.

Let the marked price of the radio be x. 1st case, Profit percent = 30% Discount amount = 0 Then, SP = MP - Discount amount      = x - 0      = x Again, Profit amount = Profit % of CP           .....

14. The marked price of one set computer is Rs 30000. What will be the price of the computer if Rs.3510 VAT is levied after allowing 10% discount?

Given, MP of the one set computer = Rs 30000 VAT amount = Rs 3510 Discount percent = 10% Using formula, Discount amount = Discount % of MP                              = 10% .....

15. The cost of a table without VAT is Rs 3500 and including VAT is Rs 3850. Find the rate of VAT. 

Given, SP = Rs 3500 SP with VAT = Rs 3850 We know, VAT amount = SP with VAT - SP                      = 3850 - 3500                      = .....

16. Limt √(x-1).
x⟶5

Here, Limt √(x-1). x⟶5 Put x = 5, = √(5-1). = √4 = .....

17. Lim x2-16/x+4
x->-4

Here, if we put x = -4, we get 0/0 form. So, we need to simplify it. i.e; Lim.  (x2-16)/(x+4)      x->-4 = Lim.  (x2- 42)/(x+4)      x->-4 =  Lim.  (x+4)(x- 4)/(x+4)   .....

18. After allowing Rs 80 discount and 13% VAT is levied in a kettle. Find the VAT amount. ( MP = Rs 400 )

Given, MP = Rs 400 Discount amount = Rs 80 VAT percent = 13% We know, SP = MP - Discount amount      = 400 - 80      = Rs 320 VAT amount = VAT % of SP                   .....

19. The marked price of a cycle is Rs 5000. If Rs 450 is given as a discount, find the VAT amount. ( VAT percent = 13% )

Given, MP of the cycle = Rs 5000 Discount amount = Rs 450 VAT percent = 13% Using formula, SP = MP - Discount amount      = 5000 - 450      = Rs 4550 VAT amount = VAT % of SP             .....

20. Lim. 4x+3/3
x-> 2

Here,  For this put x = 2, we get Lim.  (4x+3)/3  x-> 2 = (4 . 2 + 3)/3 = ( 8 + 3)/3 = 11/3, which is the required .....

21. How much VAT was paid if the value including VAT of a camera is Rs 84750. ( VAT percent = 13% )

Given, SP with VAT = Rs 84750 VAT percent = 13% Let the SP be x. Then, VAT amount = VAT % of SP                      = 13% of x                   .....

22. What happens when you mix water and kerosene ?

The kerosene will float in the water. because the density of the kerosene is much less than that of .....

23. Develop a story with outlines below and suggest a suitable tittle and moral.(
washer man had a dog and an ass...... Looked after ass well......Neglected dog......Thieves breaks into his house.....Dog keep silent.....Ass brays......Master disturbed.....Beats the ass.Moral.

                                                                 Clever Dog There .....

24. Farmers sometimes plough the soil deep in the field.Why?

Farmers plough their fields mainly to loosen the soil though the roots can easily penetrate through the soil.  But there are other reasons also for ploughing the field.  Ploughing the soil takes the nutrients to the upper surface of the .....

25. क्लारा जेटकिनको आफू संलग्न भएको पार्टीसँग कुन विषयमा मतभेद भयो?

क्लारा जेटकिन महिला अधिकारकर्मी तथा मानवतावादी नारी थिइन् । उनी युद्ध र हिँसा मन .....

26. क्लारा जेटकिन अन्तरास्ट्रिय महिला दिवसकी प्रणेता हुन,विवेचना गर्नुहोस। (३ अनुच्छेदमा)

क्लारा जेटकिन
क्लारा जेटकिन भन्ने पाठ .....

27. क्लाराको दोस्रो विवाह कोसँग कहिले भयो र उनीहरूको दाम्पत्य जीवन कहिलेसम्म कायम भयो ?(२ अनुच्छेदमा लेखिनुहोस)

क्लारा र ओसिपको वैवाहिक जीवन धेरै लामो हुन पाएन । क्षयरोगबाट ग्रसित ओसिपको सन् .....

28. The diameter of a circular pond is 120 meter. The angle of elevation of the top of pillar is fixed in the middle of the pond as observed from the edge of the pond is found to be θ. If the depth of the pond is 2 meter and height of the pillar is 62 m then find the value of θ. 

Let AB be the height of pole above the water level=  62 - 2 = 60m  Angle ACB ia angle of elevation =  θ. BC = radius of pond = r = 120/2 = 60m. Now, in right angled triangle ABC,  Tan θ = AB/BC  .....

29. The political parties of Nepal have been found violating the election code of conduct. What should be done to check this problem? Give your suggestions in five points.

- The law and order should be implemented strictly. - They should be asked to publicize the expenditure made during the election through their websites. - The political parties violating election code of conducts should be given .....

30. Write down the characteristics of liquid pressure.

The pressure caused by a liquid has the following characteristics: Pressure in liquid does not depends on the shape of the container. the size of the container. the area of its .....

31. What is unicameral legislature? 

Legislature is one of the three main organs of a government, the other being Executive and Judiciary. It plays a great role for the smooth running of the nation. There are two forms of legislature which are in practice. They are unicameral and .....

32. How do you help the government to function well?

- A citizen should protect the public properties. - A citizen should follow the law and order in the country. - A citizen should contribute being engaged in a profession of his/her interest. - A citizen should help the government in the disasters .....

33. Why do you follow rule and order? Write in points.

We know that law and order is very necessary to make people work in unity. Law and order help to maintain social harmony. It stops the wrongdoers from committing mistakes. It helps to develop brotherhood among the members of a society. Social .....

34. In the figure alongside, arc BC = arc CD. Prove that AD//OC.

Here,  1.∡DOC = ∡BOC (x)      [ Since, Arc BC = arc CD.] 2.∡A = ∡D                       [ Since, OA =OD.] In triangle AOD, 3.∡A + ∡D .....

35. A tourist buys an article at 10% discount on the marked price and he pays 13% VAT. If the VAT is Rs 4680, by how much is the price with VAT more than the marked price ? 

Let the marked price of the article  be x. Given, Discount percent = 10% VAT percent = 13% VAT amount = Rs 4680 Using formula, Discount amount = Discount % of MP                       .....

36. A tourist buys a Nepalese flag at a discount of 15% but pays 10% VAT. If he pays Rs. 170 for VAT. What percentage of marked price is piad to buy the flag ? 

Let the marked price of the article  be x. Given, Discount percent = 15% VAT percent = 10% VAT amount = Rs 170 Using formula, Discount amount = Discount % of MP                       .....

37. The marked price of an article is Rs. 8000. After allowing a certain percent of discount with 13% Value Added Tax (VAT) levied, the articles is sold at Rs. 7684. Find the difference between discount amount VAT amount. 

Here, Final SP = SP after Discount + VAT % of SP after Discount or, Rs.7684 = SP after Discount + 13/100 x SP after Discount or, SP after discount = 7684 x 100/ 113  = Rs. 6800 Discount amount = MP -  SP after discount  .....

38. A watch costs Rs. 8136 when it is 10% discounted and 13% VAT is added then find out discount and VAT amount? By how much percentage VAT amount is more than discount amount. 

Here, Here, SP with VAT = 8136 Or, 8136 = SP + VAT % of SP  or, 8136 = 113SP/ 100 or, SP = 7200. Aain, SP = MP - discount % of MP or, 7200 = 90MP/100 Find MP. Discount Amount = MP -SP =............Find it. VAT amount = SP with VAT - .....

39. A dealer sold a laptop by making 13% profit on Rs. 60,000 to the retailer. Find the selling price. If the retailer sold at the loss of Rs. 1,780, spent Rs. 3,980 on transportation cost and Rs. 10,000 on local tax then supplied to a customer, how much did the customer pay the VAT amount for the laptop at the current rate of VAT?

Here,  For dealer, SP with VAT = C P+ Profit  % of CP =60000 + 13/100⨯ 60000 = Rs.67800 For retailer, SP = Rs.67800 - Rs.1780 + Rs.4980+Rs.10000 = Rs.81000  VAT amount paid by custemer  = 13% of Rs.81000. Find .....

40. A dealer sold a iPhone by making 13% profit on Rs. 80,000 to the retailer. Find the selling price. If the retailer sold at Rs. 3,520 loss, spent Rs. 2, 120 on transportation cost and Rs. 1,000 on local tax then supplied to a customer, how much did the customey pay the VAT amount for the iPhone at the current rate of VAT?

Here,  For dealer, SP = C P+ Profit  % of CP = 80000 + 13/100⨯ 80000 = Rs.90400 For retailer, SP = Rs.90400 - Rs.3520 + Rs.2120+Rs.1000 = Rs.90000  VAT amount paid by custemer  = 13% of Rs.90000. Find .....

41. Find the sizes of unknown angles of the following.

Here,  We know, sum of two non-adj. interior angles is equal to the exterior angle in a triangle. So,  w = 65o + 45o Calculate .....

42. The height and volume of a rooms are 3.5m and 560m3 respectively. What will be cost of plastering that room at the rate of Rs. 3 per m2 ?

Something is missing in the question. Please check .....

43. A wall 33m long, 2.2m breadth and 42cm thick is to be built with bricks of size 21cm ⨯ 11cm ⨯ 5.5cm. If the clay joins occupy 1/5th of the space of the wall, find th required number of bricks.

Volume of wall = 33m ⨯ 2.2m⨯ 0.42m = 30.492m3 Volume of bricks in wall= 30.492m3 - 1/5 ⨯  30.492m3  =............Find it. Volume of a brick = 21/100 m ⨯ 11/100m ⨯ 5.5/100m =......Find .....

44. Are you satisfied with the efforts made by the government to protect Human Rights?

In this context, the government should focus on the following things: - More priority should be given to education. - The laws should be strictly implemented. - The laws should be formulated in necessary. - The laws already made should be .....

45. List the human rights mentioned in the UN Declaration on Human Rights.

In other words, human rights are rights inherent to all human beings. These rights are inherent regardless of race, sex, nationality, ethnicity, language, religion, or any other status.  Human rights include; - the right to life and .....

46. Make an explanation on the composition of provincial legislature.

Political parties have to file their closed lists in accordance with the Federal law. People with disabilities should also be considered by political parties. The term of the PA shall be five years. Should the seat of any member fall vacant with .....

47. Who should be responsible to protect the rights of women?

Dear student, you need to learn about women's' rights first. Well, women’s rights are defined as the fundamental human rights entitled to women and girls. These rights include the right to live free from violence, slavery, and .....

48. What roles do politicla parties can play to maintain peace and order?

They can play the following roles to maintain peace and order in the country. - Each political party should run their political activities as per the democratic culture. - Each political party should focus on the needs and desires of the people .....

49. Civil society is considered change agent. Justify.

They aim to connect poor or marginalized people with groups that can mobilize support to help. For example, the civil society in your locality can be a means to bridge the gap between people of a different class in our society. The civil .....

50. Explain the constitution of Nepal 2019 in a paragraph.

The history of constitutional development is not very long. It has only been about 7 decades since the constitution came into existence in the written form. The declaration of Nepal Government Legal Act 2004 by Padma Shumsher in 2004 BS was the .....