The three types of lever are: i) First class lever ii) Second class lever iii) Third class lever The types of lever are based on the position of the load and the effort with respect to the fulcrum. First class lever The lever in which the fulcrum .....

A pulley is a simple machine that consists of a rope wrapped around a grooved wheel. A basic pulley is made  of a wheel and a fixed axle  with a groove along the edges to guide a rope. In pulley, load = the weight of an .....

Given by the question, Initial velocity (u) = 72 km/hr = 72 ⨉ 1000 / 3600 =  20 m/s Final velocity (v) = 0 m/s distance (s) = 20 m  retardation (-a) = ? By using formula , v2 = u2 + 2as or  (o) 2 = .....

Here,  Given,  x - y = 40° or, x = 40° + y From figure, x + y = 180 [ being st. angle ] or,  40° + y + y = 180° or, 2y = 180° - 40° or, y = 140° / 2 or, y = 70° Again, x = 40° + .....

Sal , Pine Katus (Also known as hazelnuts)  Rhinocerous Lophophorous Red panda All the above listed animals are found in .....

The surroundings that consist of materials which are present naturally is termed as nature. There are various materials found in it, which are called as natural resources. It includes abiotic and biotic components.The abiotic component of nature .....

There are millions of creatures like vegetation, animals, and microorganisms including human beings on the earth. They have variation among themselves. These diversity or variations on the ecosystem is known as bio-diversity.Biodiversity .....

We can not separate a solute and a solvent by filtration because for filtration, the mixture must be heterogeneous, i.e the components must be noticeably different in size and composition. However, solute and solvent forms a solution which is .....

Solution: Given, Weight of solvent (water) = 20 gm Weight of sugar = ? At 200 C, solubility of sugar = 204 Now, according to the formula, Solubility =   Weight of solute    ⨉ 100       .....

Given, Weight of solvent (water) = ? Weight of copper = 20 gram At 25 C, solubility of sugar = 20 Now, according to the formula, Solubility =   Weight of solute    ⨉ 100                 .....

Given, f∘g(x) = 19 - 7x g(x) = 2 - x Then, f∘g(x) = 19 - 7x = 19 - 7( 2 - x ) = 19 - 14 + 7x = 5 + 7x Hence, f(x) = 5 + .....

We have, (p + q)2 = p2 + 2pq + q2                = 32 + 2 ⨉ 16                 = 64 So, p + q = √64 = .....

1oth May 2018 Thapathali, Jitjung-3 Kathmandu, Nepal Babarmahal Kathmandu Swatantra Marg Dear sir,

27th Baisakh 2075 Thapathali, Kathmandu National Planning Commission Tanka Prasad Sadak Jamal, Kathmandu Dear Sir/Madam,                I would like to draw the attention of .....

24. Show that : 
If a + b + c  = 0 then prove that : 
     Xaa2 - bcXbb2 -ca Xcc2-ab=1

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25. Simplify:  113x+33x             

We have,  113x+33x      = (11 + 3) / 3x = 14 / 3x      .....

26. Simplify using the laws of indices: x2 ×x4   

We have,  x2 ⨉ x4 = x2+4  [ Being, am ⨉ an = am+n] = .....

27. Simplify using the laws of indices: 32 ×3        

We have, 32 ⨉ 3 = 32 ⨉ 31 = 32+`1  [ am ⨉ an = am+n] = .....

28. संतुषट हुन के के गर्नुपर्दो रहेछ ? कविताका आधारमा

यस कविताको शीर्षक 'सन्तुष्टि'   किन दिइयो भने  यो शब्दले  कविता को समग्र भाब समेट्छ .....

29. लैङ्गिक समानताबारे निबन्ध लेख्नुहोस् |

लैङ्गिक समानता

परिचय खण्ड लिङ्गका आधारमा गरिने समान व्यवहारलाई .....

30. लेखक कस्तो चिन्तन बोकेका मान्छे हो भन्ने कुरा आनुमान गर्नुभयो, पाठका आधारमा लेख्नुहोस र बिबेचना गर्नुहोस् |

भरतराज पन्तद्वारा लिखित सन्तुष्टि कवितामा जीवनमा के कस्तो काम गर्न सके मनमा शान्ति प्राप्त .....

31. In △PQR, P(a, 5), Q( 2, 2) and R(5, 2), if  PQ⃗.QR⃗ = -6 then find the value of a.

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32. If    AB⃗.BC⃗ = 7,⦨ ABC = 30° and AB⃗=13 units, find BC⃗.

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33. It is given that a⃗=5 and b⃗=13. If an acute angle between a⃗ and b⃗ is cos-1 165 then find. a⃗.b⃗

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34. If a⃗=ki⃗-k-3j⃗ , b⃗=k-1i⃗+(k-5)j⃗ and a⃗.b⃗ = 5 then find the value of k.

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35. Find the angle between the vector p⃗ = 0a and q⃗ = 43.

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36. Find the simple interest of Rs. 200 for 5 years at 10% per annum.

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37. A businessman deposited Rs. 5,00,000 in commercial bank at 14% p.a. How long should he deposit the sum to receive an amount of Rs. 8,00,000?

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38. The marks obtained by six students are given below. Find the average mark.
42, 57, 46, 80, 72, 75

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39. Find the median from data given below.
12, 10, 13, 9, 12, 14, 16, 8

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40. Factorize;
a) 14xy + 7y     
b) ax + bx + ay + by  
c) x²y + 4xy – xy² – 4y²

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41. Factorize.
a) 9x² - y²          b) p² - 181q2          c) (x + 2)² - 4

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42. Find the cube of (4 – 3b).

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43. Find the area of shaded portion.

We know,  Area of the square = l2 Here,  Area of the bigger square = A1= (8 cm)2  = 64 cm2 Area of the smaller square = A2 = (3 cm)2 = 9 cm2 So, Area of the shaded part = A1 - A2 = 64 - 9 = 55 .....

44. Out of 100 participants in a picnic, 70 drank milk, 40 drank soup and 20 drank both. i) Represent the above information in a Venn-diagram. ii) Find the number of participants who drink neither of the drinks by using Venn-diagram. iii) Find the number of participants who drink only milk.

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45. What is the relation of parallelogram & rhombus if they stand on the same base between the same parallel lines?

The parallelogram and rhombus if they stand on the same base between the same parallel line are equal in .....

46. According to yearly compound interest, P, T and R represent the original principal, time and rate per annum, write the formula for compound amount (CA) and compound Interest (CI).

Compound Amount(CA) = P(1 + R/100)T Compound Interest (CI) = P[(1 + R/100)T - .....

47. The market price of an article is 30% above its selling price and the cost price is 30% less than its market price. Find the discount percent and gain percent?

Here, Let SP be y, then MP = SP + 30% of SP        = y + 30/100 ⨉ y        = 1.3y CP = MP - 30% of MP      = 1.3y - 30/100  ⨉  1.3y      =0.7⨉1.3y .....

48. If the function f & g are given by f = {(2, 3), (4, 1), (-2, -1)} and g = {(-1, 3), (3, c), (1, -5)}, write down the ordered pairs in the composite function gof and find gof(4) and gof(-2).

Here,  f = {(2, 3), (4, 1), (-2, -1)} and g = {(-1, 3), (3, c), (1, -5)} Now,  gof = { (2, c), (4, -5), (- 2, 3)} Hence, gof(4) = - 5 gof(-2) = .....

49. Write some examples of pushing force.

Fig: Chestpass while playing .....

50. What is the geographical location of Nepal?

Nepal is a sovereign south Asian country. Nepal is surrounded by China to the north and India to the east, south and west. The geographical location of Nepal is 26o 22' to 30o27' north latitude to 80o4' to 88o12' east .....

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