Students and Teachers Forum

1. Prove that: 1/secA - tanA = secA + tanA

Here, LHS = 1/(secA - tanA)  = (secA + tanA)/[(secA + tanA)(secA - tanA)]  = (secA + tanA)/(sec2A - tan2A)         =(secA + tanA)/1                    .....

2. Why was SAARC established?

South Asian Association for Regional Cooperations(SAARC) is the regional intergovernmental organization in South Asia. It is the organization seven eight countries. The reasons behind the establishment of SAARC are mentioned below: - It was .....

3. What is the scientific name of seal?

The scientific name of seal .....

4. Solve:
x + 56 = 96

Here, x + 56 = 96 or, x = 96 - 56 or, x = .....

5. Find:
2(12-3)

= 2 ( 12 - 3 ) = 2 × 9 = .....

6. Find the value of x:

x + 10% of x = 330

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7. Make a map of Nepal plotting top 14 mountains, national parks, and cotton production area.

The map below will also help .....

8. Simplify: 11-ax-y+11-ay-x

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9. Show the international symbols to plot in map of Nepal.

The above-given symbol is used to mean 'International" in the .....

10. The width of a box is two third of its length and height is one third of its length. If the volume is 14 m3 of the box, find the area of base.

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11. How much interest will Rs.1820 earn at 10% interest rate in 4 years? How many year will it take for Rs 900 at 12% interest rate to earn equal interest?

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12. Ram Baral sold a pen to Kamala at 25% profit. Kamala sold the pen at loss of 10% to Roshan. If Roshan paid Rs. 72 to Kamala, how much did Ram paid to buy that pen?

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13. The side of a right angle triangle containing the right angle are less than its hypotenous by 5 and 10 cm respectively. Find the length of the side of the triangle.

Let h be the hypoteneous. Then  p = h - 5  and  b = h - 10 By Pythagoras theorem, h2 = p2 + b2 or, h2 = ( h - 5)2 + ( h - 10)2   Now simplify for h and find it.  ( reject - ve value.) Then p = h - .....

14. At what rate per amount a sum of Rs 25000 amount to Rs 26250 in 6 months?

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15. In the given figure AB = AC, BD = EC and ∡DAE = 60o. Prove that ∆ADE is an isosceles triangle. Also, calculate the size of ∡ADE.

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16. What is the full form of D.D.T.?

The full form of D.D.T. is dichloro diphenyl trichloroethane. It is a colourless and odourless substance, which is used as a powerful insecticides, it is poisonous to both humans and .....

17. The amount of a sum of money in 2 years and 5 years is Rs.2800 and Rs.3250 respectively. Find the sum.

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18. In a survey of 100 student, if 50 student liked Nepali and 60 student liked Englis, draw a Venn-diagram and find.

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19. The sum of the digits of a two digits number is 9 and if ten's place digit is increased by 3, the number thus formed will be equal to 5/3 times the original number. What is the original number?

Since it is a two digit number, Let the number be '10x + y' Such that, 'x' is the digit in 10th place while, y in the one's place. From question, x + y = 9 ==> y = 9 - x   .....(i). And, 10( x + 3) + y = .....

20. A(-2, -3), B(-1, 1), C(4, 1) and D(3, -3) are the vertices of a parallelogram ABCD. Rotate it by a positive quarter turn about the origin and write down the co-ordinates of the image.

When P (x, y) is rotated by a positive quarter about the origin, its image becomes P' (-y, x) Now, A (-2, -3) ----------------> A' ( 3, -2) B (-1, 1) ----------------> A' ( -1, -1) C(4, 1) ----------------> A' (-1, 4) D .....

21. Find the CP when SP = Rs. 924 and gain = 10%

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22. Simplify:
7x-2(x-3)> 16

Solution< Here, 7x-2(x-3)> 16 or, 7x - 2x - 6> 16 or, 5x - 6 > 16 or, 5x > 16 + 6 or, 5x > 22 or, x > 22/5 Hence,  x > 22/5 is required .....

23. Tin can gets crushed if cooled after heating with its mouth closed. Why?

At initial condition, the tin can assumes its normal shape and size as pressure both inside and outside the can is balanced. As the tin can is heated, water inside it vapourizes. So, the pressure inside it will be reduced. Now, the surrounding .....

24. भाव विस्तार गर्नुहोस्:
सुनेर तिम्रो जीवनदायी मधुर गर्जन
पृथ्वी बियुझुन हरियो, होओस् नवीन सिर्जन

साउन र भदौ वर्षा ऋतुको समय हो । यस समयमा बादल लाग्ने, बिजुली चम्कने र आकाश थर्कने .....

25. When our will get a good government and workers and when will our country develop???

Our country will develop soon as Nepal has got a stable government which comprises more than two third of people's representative in the parliament.  The ongoing mega-projects which are under constructions will soon be finished and .....

26. If A = (1, 2, 3, 4, 5) and B = (2, 4, 6, 8) find A - B = B - A

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27. What is subset?

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28. Divide Rs 600 in two parts in the ratio of 3:2.

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29. In the given figure, ABCD is a square whose diagonal AC = 4√3 cm. If AE = 8 cm and BF ⊥ AE, find the length of BF.

Here, Area of square ABCD= 1/2  x d2 = 1/2 x AC2 = 24cm2  Area of triangle ABE = 1/2  area of square ABCD = 12cm2 or, 1/2 x AE x BF = 12cm2  or, 1/2 x 8cm x BF = 12cm2 BF = .....

30. In the given figure, QR||TS, QT||RP and RS||QP: Prove that: Area of ∆PQT = Area of ∆PRS

1.//gmRQUS = //gm RVTU  , on same base and between same //s. 2.Tr.QTP = 1/2 of //gmRVTU  , on same base RP  and between same //s RP & QP. 3.Tr.RSP = 1/2of //gm RQUS , on same base RS and between same //s RS & QP. 4.Tr.QTP = .....

31. There are 4 red, 5 black, and 2 white balls of the same size and shape in a box. A ball is drawn randomly. What is the probability of a ball being black or white? Find it.

Here, total number of red balls = 4 Total number of black balls = 5 Total number of white balls = 2 Total number of balls = 11 Probability of a black ball =  number of black balls / total number of balls = 5/11 Similarly, Probability of .....

32. If x - 1/x = 5, find x3 - 1/x3.

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33. Find the third proportional to :  4,16

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34. Find the third proportional to : 
9,18 

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35.

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 s_ …ntfÚ sf] kof{ojfrL zAb ========= xf] - n8f , kq , nx/f _

 v_ ============= cg]sfyL{ zAb xf] . - ;fu , afu , vfu _

 u_ b]jsf] kof{jfrL zAb ========== xf]Og . - b]jtf , ;'/ , c;'/ _

 3_ …gjLgÚ sf] ljk/LtfyL{ zAb ========xf] . - gofF , k|flrg , cjf{rLg_

 ª_ ========== cg]sfyL{ zAb xf]Og . - sn , e'n ,dn _

 r_ sk8fsf] ;dfgfyL{ zAb =========xf]  -n'uf , sldh , j:q_

२. (क) लहरा (ख) खाग (ग) असूर (घ) प्राचीन (ङ) भल (च) .....

36.  The average marks obtained by Sunayana in English, math and science is 78 .If she obtained 60 marks in Nepali, Find her average marks in 4 subjects.

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37.  पदवर्ग छुट्याऊ -
हिँडेको मानिस समयमा घर नपुग्दा तिमी वा हामी सबैलाई चिन्ता त लाग्छ की नाँइ । 
खाली ठाउँमा उपयुक्त कारक भर्नुहोस् -
............ले भाइलाई ............पढाइन् ।

धातु+एको, एका, एकी+नाम छ भने त्यो विशेषण हुन्छ .....

38. Factorize:
2x+1 -  2xx-1  +  4x2+1

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39. Simplify: 1/2 + 2/3 - 1/4

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40. The lateral surface area of cube is 81 cm2, find TSA of cube and its height.

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41. write a letter to you sister whose health is going bad adversing her about the effects of junk food on our health?(about 150 words as fast as possible give answer..

Kalimati, Kathmandu 25th March 2018 Dear Prapti, How are you? I'm fine here. In this letter, I'm asking you not to eat much junk food because it is harmful and has lots of effects on our health.  Sister, don't eat junk food. .....

42. Evaluate : 4×3x-3x-111×3x

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43. If the diameter of circle is 14,find the area of circle.

We can aslo use diameter to find area, Area = π(d/2)2           = πd2/4         = π(14)2 / 4        = .....

44. Rekha can finish a piece of work in 132 days. She worked for 5 days and left. If Dolma finished the remaining part of the work, How much work wasdone by her?

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45. In a survey, it was found that 80% people liked oranges, 85% liked mangoes and 75% liked both. But 45 people liked none of them. By drawing a venn-diagram, find the number of people who were in the survey.

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46. Write about Nepal.

The map above is of Nepal. It lies between two large countries India and China. In North, there is China. And, in East, West, and South there is India. It has an area of 1, 47, 181 sq. km. And, there are 7 provinces. There are 77 districts .....

47. What is Snell's law?

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48. How can I find constellations?

You can find (identify) constellations with the help of a star chart (map).  For this, compare the stars on the star chart and the stars you see in the night .....

49. Dorje lends Rs. 3000 for 6 months. What is the interest on it at 20% per annum? What would be the interest on Rs. 3000 for 6 months at 5% per month?

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50. What is soil erosion?

Soil erosion is the displacement of the upper layer of soil, especially by the flowing water or .....