Students and Teachers Forum

1. Find the sum and difference of the greatest and smallest number formed by the digits 0 1 2 5 6 8 0

Greatest number formed by the digits 0 1 2 5 6 8 0 is 8652100. Smallest number formed by the digits 0 1 2 5 6 8 0 is .....

2. The age of a boy can be formed by reversing the digits of his grandfather's age. If the sum of the digits used in his age id 9 and the grandfather is 63 years older than his grandson, find their present age. 

Let the present age of grandson be 10x+y, then present age of grandfather is 10y+x. By question,second case 10y + x = 63 + 10x + y or, 10y + x - 10x - y = 63 or, 9y - 9x = 63 or, 9( y - x ) = 63 or, y - x = 7 or, y - x = 7 or, y = 7 + x .....

3. A pigeon on the roof of a house is observed from the top of a tower of height 120 m at an angle of 30° to the horizontal line. Find the height of the house if the distance between the house and the tower if 60√3 m.

Here, P be the point where pogeon is sitting. PQ = height of house = ? RS = Height og tower = 120m QR =  60√3 m. Now from the right angled triangle SPT,  Find ST by using tan30o, then RT = 120m - ST  = .....

4. Decide whether the values of x obtained by solving the equation 4x – 3.2x + 1 + 8 = 0. Also satisfy the equation 3x – 1 + 32 – x = 4 or not.

4x - 3.2x+1 + 8 = 0 22x - 3.2x.21 + 8 = 0 22x - 6.2x + 8 = 0 Let 2x be 'a'. Then, a2 - 6a + 8 = 0 a2 - ( 4+2 )a + 8 = 0 a2 - 4a - 2a + 8 = 0 a( a-4 ) -2( a-4 ) = 0 ( a-4 )( a-2 ) = .....

5. Solve:
( 4a-5 )/6a=.( 7-1 )/3

( 4a-5 )/6a = ( 7-1 )/3 ( 4a-5 )/ 6a = 6/3 ( 4a-5 )/6a = 2 4a-5 = 2*6a 4a-5 = 12a 12a - 4a = -5 8a = -5 a = .....

6. If the equation of circle x2+ y2+4x-6y+h=0 and it's radius is 3,find the value of h.

Comparing this with x2 + y2 + 2gx + 2fy + c = 0, we get g = 2, f = -3 and c = h. We know, radius = r = √(g2 + f2 - c) or, 3 = √(22 + (-3)2 - h) or, 9 = 4 + 9 - h or, h = - 4. Thus, h = .....

7. निबन्ध लेख्नुहोस्ः
देशविकासमा विद्यार्थीको भूमिका

राष्ट्रनिर्माणमा विद्यार्थीको भूमिका यसको उत्तर बुँदामा रहेको छ । यसलाई अनुच्छेदमा मिलाएर .....

8. Write preventive measures of dengue and its symptoms.

Note: Read the book and write the preventive measures .....

9. Write 4 causes of drug abuse.

The four causes of drug abuse are as follows: - Peer pressure - Negligence of parents to their children' behaviour - Poverty - Family .....

10. Why sid you change the question? Plz dont change sir

You need to ask the social subject question in social. If you ask other, we do change .....

11. Give the components that effect the world's temperature.Explain any two of them

Latitude: -The closer a place is to the equator, the warmer it is. Height above sea level: - Places with higher elevations above sea level have colder temperatures than places at sea .....

12. Mention any two good and two bad tradition practiced in your community

The two good and two bad tradition practised in my community are mentioned below: Good tradition: - Paincho - Parma Bad tradition: - Dowry system - .....

13. Find the points on y-axis where the circle having equation x2 + y2 - 5x - 7y + 6 = 0 intersect.

Here, we have given that, circle intersects on y-axis, so x = 0 Equation of circle  x2 + y2 - 5x - 7y + 6 = 0 Put x =0, or,02 + y2 - 5.0 - 7y + 6 = 0              or, y2 - 7y + 6 .....

14. चन्द्र शमशेरका विशेषता वर्णन गर्नुहोस् ।

श्री ३ बडामहारानकिा रूपमा दरबारमा भित्रिएको केही दिनमै बालकुमारी देवीले आफ्ना .....

15. The solid given alongside is the combination of a square-based pyramid and a sqaure based prism. If the volume of the solid is 448 cm3, find the total surface area of the solid. 
questionimage

Here,  Height of pyramid = h = √[l2 - (a/2)2] = √[52 - 42] = 3cm Then, height of prism = H = ? We know, volume of solid = volume of pyramid + volume of prism or, 448 = 1/3 x 82 x 3 + 82 x .....

16. Prove:
sin45=1/√2

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17. Prove that : { cosA/2 - √(1 + sinA)}/ { sinA/2 - √(1 + sinA)} =  tanA/2.

Here,  LHS = [ cosA/2 - √(1 + sinA)] / [sinA/2 - √(1 + sinA)]              = [ cosA/2 - √(Sin2A/2 + cos2A/2 + 2sinA/2.cosA/2)] / .....

18. Locate the followings in a map of Nepal.
- Gokyo lake
- Chepang settlement area
- Route settlement area
- Apple production area

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19. In the given figure, BC//AE, BA//CD, BF//CE and AX⊥CD. If AB = 12 cm and area of the quadrilateral BCEF = 84 sq.cm, find the length of AX. 
questionimage

Here,  Area of //gm BCEF = Area of //m ABCD    [ they are on same base and between same //s.] So, Area of //gm ABCD  = 84cm2  .  or, CD . AX = 84cm2 .   [ Area of //gm = base  X height.] or, .....

20. Study the given Ogive and answer the following questions. 
(i) How many students have secured distinction marks?
(ii) How many students have secured less than 25 marks?
questionimage

i) Distinction marks means 80 or more then 80. So, no.of stidents = 95(total) - 86 = 9. ii) .....

21.


Write the possible three types of offspring that may be produced in F2 generation?
 

i) Three types of offspring that may be produced in F2 generation are LL, Ll, .....

22. A vertical flagstaff ab is divided by point c in the ratio 3:2from its top.If parts ac and bc subtend equal angle at a point on the ground of 20m from the foot of the flagstaff.Find the height of flagstaff

Please replace BC= 10m by 20m and height of pole by height of flagstaff complete .....

23. What effect will be seen on th density and the volume of water when it is heated from 00 C to 100 C? What is the type of behaviour of water called?

When water is heated from 00, its volume decreases because its density increases and you can see this effect to  4 o c. Because the density of ice is maximum at 4 o c. Afterwards, as the density decreases the volume .....

24. Local development activities increase the economic condition of the local people. Justify.

For example, if hydropower is constructed, it works as a source of income to the people there. The local government collects the tax from this project and share it through different services. Similarly, if a road is constructed it helps to .....

25. Find a vector whose mangnitude is 2 and parallel to a = 4i + 3j.

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26. Prove that:
(1-cos144°).(1-cos72°)=5/4

Here, LHS = (1-cos144°).(1-cos72°) = 1 - cos72 - cos144 + cos144.cos72 =1 -( cos72 + cos144) + 1/2 {2cos144.cos72} Now use cosC + cosD formula for ( cos72 + cos144) and 2cosA cosB for  {2cos144.cos72} and simplify to get .....

27. Prove that :
(2cos72°+1).(2cos36°-1)=1

(2cos72°+1).(2cos36°-1) Opening the bracket, we get = 1 + 2cos36 - 2cos72 + 4cos72cos36  = 1 + 2( cos36 - cos72 ) + 2.[ cos(72 + 36) + cos(72 - 36) ]  = 1 + 2( cos36 - cos72 ) + 2( cos108 + cos36 )  = 1 + 2( cos36 - cos72 .....

28. What is regional balance in development? Explain why regional balance is necessary for equitable distribution of development?

Regional balance is an important condition for the harmonious and smooth development of a country. Thus regional balance implies uniform distribution pattern of the planned investment among different regions of a country. The need for the regional .....

29. If f(x) = (x - 1)/(x + 1), prove that: fof(x) = -1/x.

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30. If 2X-Y = 6-60-421 and X+2Y= 325-21-7 then find hte matrices X and Y

We have given two equations here. From the second equation, find the value of X and let it be equation (ii) Put this value of X in first equation. Solve them like equation solving method. You will get matrix Y and then put value of Y in (ii) to .....

31. In the adjoining figure, AB//CD. If slope of CD is ( 2/3 ) then find the equation of line AB. 
questionimage

Given, Slope of CD = ( 2/3 ) Then, Slope of AB = Slope of CD = ( 2/3 ) [ Since they are parallel, they will have same slope ] Then, Equation of line AB is given as, ( y-y1 ) =m( x-x1 ) ( y-5 ) = ( 2/3 )( x-4 )[ Since the line is passing .....

32. ५. सभ्यता कविताको सन्देश के हो ?

सभ्यता कवितामा अहिले हाम्रो संसकृति र परम्परा नाश हुँदै गएको कुरालाई वर्णन .....

33. What is the function of parasympathtic nervous system?

The parasympathetic nervous system is one of three divisions of the autonomic nervous system. Sometimes called the rest and digest system, the parasympathetic system conserves energy as it slows the heart rate, increases intestinal and gland .....

34. In what ratio line joining two points ( 3,4 ) and (3,-8 ) is divided by X-axis ?

Let the ratio is m:n

section formula is (mx2+nx1)/(m+n) ,  (my2+ny1)/(m+n) So, for the two points ( 3,4 ) and (3,-8 ),

(3m+n3)/(m+n) ,  (-8m+ 4n )/(m+n) = (x, 0)

Comparing y-coordiantes, we get (-8m+ 4n .....

35. तिमी सफल _____ । (हुः इच्छार्थ)

इच्छार्थक बनाउँदा ‘तिमी’ र ‘तिमीहरू’ मा धातुमा ‘ए’ जोड्नुपर्छ .....

36.
  1. Reproduce the following sentences as indicated in the brackets.
  1. My mother cooked rice. (into passive)
  2. He told me to train his dog. (into direct speech)

 

  1. Reproduce the following sentences as indicated in the brackets.
  1. Laxmi Prasad Devkota wrote Muna Madan. (into passive)
  2. She said to him, “What are you doing now?”
  1. Reproduce the following sentences as indicated in the brackets.
  1. Someone has stolen my pen. (into passive)
  2. Sarita said to her student, “You’ll not dance tomorrow.”
  1. Reproduce the following sentences as indicated in the brackets
  1. The man said that he was a great street vender. (into direct speech)
  2. Who broke a car?
  1. Reproduce the following sentences as indicated in the brackets.
  1. Ram exclaimed with joy that he had topped the class. (into direct speech)
  2. I watched the movie named Chhakha-Panja. (into passive)
  1. Reproduce the following sentences as indicated in the brackets.
  1. My father told me to study Medicine. (into direct speech)
  2. What do you eat? (into passive)
  1. Reproduce the following sentences as indicated in the brackets.
  1. I have written a poem. (into passive)
  2. My mother asked me what I did.
  1. Reproduce the following sentences as indicated in the brackets.
  1. The policeman commanded the boy not to wear the uniform. (into direct speech)
  2. Ants carry their prey together. (into passive)

1. v. Rice was cooked by my .....

37. If A+B+C = πc, prove that: CosA + cosB + cosC = 1 + 4 cos(πc-A)/2. cos(πc-B)/2 . cos(πc-C)/2.

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38. Find the length of radius of circle.
x2+y2-4x+10y-7 = 0

x2 + y2 - 4x + 10y - 7 = 0 x2 - 4x + y2 + 10y = 7 x2 - 2*x*2 + 22 + y2 + 2*y*5 + 52 = 7 + 22 + 52 ( x-2 )2 + ( y+5 )2 = 7 + 4 + 25 ( x-2 )2 + ( y+5 )2 = 36 ( x-2 )2 + ( y+5 .....

39. Find the coordinates of the center of circle.
x2+y2-6x+2y+1=0

x2 + y2 - 6x + 2y + 1 = 0 x2 - 6x + y2 + 2y + 1 = 0 x2 - 2*x*3 + 32 - 32 + [ y2 + 2*y*1 + 1 ] = 0 ( x-3 )2 - 9 + ( y+1 )2 = 0 ( x-3 )2 + ( y+1 )2 = 32 Comparing with equation of circle, ( .....

40. Grace has 16 jelly beans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color? 
A. 4                                       B. 8
C. 12                                      D. 13 

She's likely to need less, but the worst case scenario is that she draws out 8 red ones, and then either 4 green or 4 blue ones for 12. The next one will be the third and final color. Drawing 13 is the only way to ensure that she'll have .....

41. Mention any two recent natural calamities that happened in Nepal and write any four effects caused by them in the tourist industry in Nepal. What might be five ways to apply for the development of Nepal as a safe destination?

Some of the ways to promote as safe destination are: use of high-quality construction materials during construction consultation with the qualified manpower during construction early preparedness to minimise the loss use of .....

42. A football is dropped from a height of 64 feet. In each rebound, it rises to a height which is ( 3/4 )th of height of previous fall.
a) At what height does the ball approach in 4th rebound?
b) What will be the limit of height of football?
[ Ans: a) 27 feet b) 0 ]

Here,  t1 = 64m t2 = 64m x 3/4 = 48m t3 = 48m x 3/4 = 36m Fourth rebound = t4 = 36m x 3/4 = 27m. Limit of height of ball is .....

43. Each side of an equilateral triangle is 64 cm. A second equilateral triangle is inscribed by joining the midpoints of the sides successively. This process is continues infinitely many times.
a) Find the length of sides in 3rd and 5th triangle.
b) What is the limit of area of triangle?
[ Ans: a) 16 cm, 4 cm b) 0]

Here, t1 =  64cm t2 = Length of side of new equilateral triangle = l/2 = 64/2cm = 32cm Here, common ratio(r) = 32 / 64 = 1/2. a) t3 = 32/2cm  =  16cm t4 = 16cm /2 = 8cm t5 =8cm/2 = 4cm b) Limit of .....

44. Prove that : (cos 5-sin 5 )/(cos 5 + sin 5)=cot 50

Here, RHS = cot50 = cot(45  + 5) Using formulaof cot(A+B), we get = { cot45.cot5 - 1}/(cot45 + cot5) Using cot45 = 1, we get = {cot5 - 1}/{1 + cot5} Changing cot into cos/sin, weget, = {cos5/sin5 - 1}/{1 + cos5/sin5} = (cos .....

45. Find the equations of line represented by x(x+y-c)-yc=0

Here, x(x+y-c)-yc=0 or, x2 + xy - xc - yc = 0 or, x(x + y) - c(x + y) = 0 or, (x + y) ( x - c) = 0 Thus, seperate equations are  x + y = 0 and x - c = .....

46. What is BIPPA? Explain briefly.

BIPPA stands for Bilateral Investment Promotion and Protection Agreement. BIPPA is an Agreement Between India And Nepal. It was signed during Dr Baburam Bhattaris' India visit. This agreement seeks to promote and protect investments from .....

47. Prove that: (sec2θ+1 )( sec4θ+1 )( sec8θ+1 ) = tan8θ.cotθ.

Here, LHS = (sec2θ+1 )( sec4θ+1 )( sec8θ+1 ) = (1/cos2θ+1 )( 1/cos4θ+1 )( 1/cos8θ+1 ) = (1 + cos2θ)/ cos2θ .  (1 + cos4θ)/ cos4θ .  (1 + cos8θ)/ cos8θ .....

48. Mr.Subba walked 24km which is 75% distance between phikkal and ilam.Find the distance between these two places.

By question, Let the distance between phikkal and illam be x. 75% of x = 24 ( 75/100 ) * x = 24 75x = 24 * 100 x = 2400 / 75 x = 32 km Hence, the distance between phikkal and illam is 32 .....

49. In the two expression, if the first expression divides the second expression exactly. Which expression is HCF and l cm with region.

In this case, HCF is first expression. Since,  LCM is second .....

50. Find the equation of straight lines passing through (2,3) and parallel to the line having slope 6.

The slope of the line parallel to the line having slope 6 is also 6. Using formula, Equation of the straight line passing through ( 2,3 ), ( y-y1 ) = m( x-x1 ) ( y-3 ) = 6( x-2 ) y-3 = 6x - 12 6x - y - 12 - 3 = 0 6x - y - 15 = .....