Let cost of a book be x and pen be y. Then, x + y = 210.........(i) and  y = x - 90............(ii) Solving (i) and (ii), x + x - 90 = 210 or, 2x = 300 or, x = Rs.15, is the cost of a book. Again, from (ii) y = 150 - 90 = Rs.60 is the .....

Let the greater no.be x & smaller be y. Then from the first case, x + y = 65 .......................(i) From the second case, x - y = 19 or, x = 19 + y............................(ii) Putting x = y + 19from (ii) in (i), we get y + .....

Here, Monthly salary = Rs.15000 Tax free income = (10 + 15)% of 15000                           = 25/100 x 15000                   .....

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Here, Given: ABCD is a //gm in which AC is a diagonal. BP and DQ are perpendiculars to AC To prove: PBQD is a //gm Proof:   Statements Reasons 1.In ∆s APB & CDQ 1. i)∡BAP .....

Here, Given:AM and CN are perpendiculars to the diagonal BD of the qd, AO = CO and BM = DN, To prove: ABCD is a //gm Proof:   Statements Reasons 1.In ∆s AOM & CON 1. i)∡AOM .....

Here, 1. AD = BC  and AD//BC                 [ Opposite sides of //gm ABCD.] 2. 2MD = 2 BN  and MD//BN          [ M & N are mid-points of AB & BC .....

Here,  AM = NC         [ Since, triangle AMB and NDC are congurent by ASA axiom and hence corresponding sides.] So, MD = BN and MD//BN   [ As, AD = BC ⟹ AM + MD = MN + NC ⟹ MD = BN and .....

Let ∡B = x,  Then,  ∡F = x,  ∡ACB = x and  ∡AED = x. So,  ∡CFB = x. In triangle CEF,   x + x + 44o = 180o or, x  = 68o. Thus,  ∡AED x = .....

Here, ∡ACB = 1/2 of ∡DCB = 1/2 x 90o = 45o. ∡ACE = 60o   as,  ∆AEC is an equilateral triangle. So, ∡BCE = ∡ACE - ∡ACB                    .....

Fragmentation is seen in multi-cellular organisms with relatively simple body organisation. Here the body of the organism simply breaks up into smaller pieces upon maturation. These pieces or fragments grow into new individuals. Eg- .....

Binary fission is the primary method of reproduction of prokaryotic organisms. In protists, binary fission is often differentiated into types, such as transverse or longitudinal, depending on the axis of cell separation. Regular transverse fission .....

Here, Sin5A + Sin4A = 0 Using sinC + sinD formula, 2 sin(5A + 4A)/2 . cos(5A - 4A)/2 = 0 Either, sin9A/2 = 0 ⟹ sin9A/2 = sin0o, sin180o sin360o ⟹ A = 0o, 40o, 80o. OR,  cosA/2 = 0 ⟹ cosA/2 = cos90o ⟹ A = .....

The treaty made between Nepal and British India company is known as the Sugauli Treaty. It was named 'Sugauli Treaty' as it was signed in the place called Sugauli. The treaty was drafted on 2nd Dec. 1815. It was signed on 4th March .....

Red has the longest wavelength, at around 700 .....

Since, x = 0 line is y - axis and y = 0 is x-axis. Angle between x-axis and y - axis is always .....

The functional unit of kidney which separates water, ions and small molecules from the blood, filter out wastes and toxins, and return needed molecules to the blood is the nephron. Nephron is also called as uriniferous .....

Climatic change may be defined as the significant change in the weather petter over a significant period of time. Carbon dioxide, methane, and water vapour are the most important greenhouse gases. The best known greenhouse gases, carbon dioxide .....

Let present age of father is x and son is y. From the 1st case, x + 3 = 4(y + 3) or, x = 4y + 9............(i) From the 2nd case, x - 2 = 7(y - 2) or, 4y + 9 - 2 = 7y - 14      [ Since, from i, using value of x.] or, 3y = .....

Let present age of father is x and daughter is y. From the 1st case, x - y = 30 or, x = 30 + y............(i) From the 2nd case, x - 4 = 7(y - 4) or, 30 + y - 4 = 7y - 28     [ Since, from i, using value of x.] or, 6y = 54 or, .....

Let the age of Sunayana is a and Basanti is b. From the first case,

b=3a..............(i)

From the second case,  b - 2 = 4(a - 2) 

or, 3a - 2 = 4a - 8  [ Since, from (i), b = 3a.] or, a = 6. From .....

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Join B & E, A & D and C & F. 1. BE = AD and BE//AD.                   [ As, AB = DE, AB // DE line joining the end-points of 2 equal & // lines are also equal & .....

Here, ∡A = ∡C           [ Since, AB = AC is given.] ∡OAC = ∡OAB = ∡OCA = ∡OCB= x (say.)     [ Since, OA & OC are the angular bisector of ∡BAC and .....

We know, ∡A = ∡C = x      [ Opposite angles of a //gm.] Again,  ∡A + ∡C = 180o.    [ Opposites angles of a .....

Aryans are also called as “Khass” in Nepal. And the language used by the Aryans are also known as “Khass Bhasa”. Hence we can clearly see from the map and the conclusions derived from the language tree, that the Aryans .....

Let l be the slant height, h be the height of pyramid and a be the length of base. Here, TSA = 800 or, a2 + 2al = 800 or, 162 + 2 x 16 x l = 800 or, l = 17cm We know,      l2 = h2 + (a/2)2 or, 172 = .....

What do you mean by f2(x)? Please post the correct .....

Here, g(x) = x + 2  &      fog(x) = 2x - 7 or, f(x + 2) = 2x - 7 Replace x by x - 2, we get     f(x - 2 + 2) = 2(x - 2) - 7 or, f(x) = 2x - 11. or, y = 2x - 11 Under the inverse function,    x = .....

Here, LHS = (1+sin A) / (cosec A - cot A) - (1- sin A)/ (cosec A+cot A) Taking LCM we get = (1+sin A)(cosec A+ cot A) - (1-sin A)(cosec A- cot A) / cosec 2 A - cot2 A  .....

Why do some people have dark skin while others have light-coloured skin? The answer lies in the skin's need for protection against solar radiation and the body's need for vitamin D. Dark skin is the human skin color that is rich in melanin .....

A fullerene is a pure carbon molecule composed of at least 60 atom s of carbon. Because a fullerene takes a shape similar to a soccer ball or a geodesic dome, it is sometimes referred to as a buckyball after the inventor of the geodesic dome, .....

Gyanendra dissolved the parliament on 11th Jestha, 2059. He dismissed the cabinet of Sher Bahadur Deuba on 18th Asoj 2059 . He imprisoned all the political leaders and formed a government under his own chairmanship. Seven parties and .....

प्रश्नहरू पठाउँदै गर्नुहोस् है त । नबुझेको कुरा सोध्नुपर्छ नि .....

Here, Volume of tunnel = 1/ 2 x πr2h = 1/2 x 22/7 x (7m)2 x (2.5 x 1000m)  = 192500m3. No. of trips = 192500m3/10m3 = .....

Some of the socio-economic changes after people's movement II is prepared below: People experienced a kind of just .....

Seven political parties and CPN Maoist reached a 12 point agreement in Delhi to conduct a peaceful revolution against the King’s decisions. Accordingly, the second civil revolution began from 24th Chaitra 2062 B.S. This Second People's .....

Here, LHS = Sin(A + B + C) = sin{(A + B) + C} = sin(A + B)cos(C) + cos(A + B)sin(C) [∵Application of "Angle addition identity"]

= {sin(A)cos(B) + cos(A)sin(B)}cos(C) + .....

Here, Radius (r) = 21cm Length of arc (l) = 44cm Angle (θ) = ? We know, θ = l/r    = 44cm/21cm    = (44/21)c    = (44 / 21 x 180/π)o    .....

Here,  g(x) = x2 , LHS = {g(a + h) - g (a)} /h          = { (a + h)2 - (a)2}/h         = {a2 + 2ah + h2 - a2}/h         = {2ah + h2}/h     .....

Here, The points A(7,a) ,B(-5,2) and C(3,6) are collinear. So,      Slope of AB = slope of BC or, (2 - a)/(- 5 - 7) = (6 - 2)/(3 + 5) or, (2 - a) /(-12) = 4/8 or, 2 - a = - 1/2 x .....

The angle be R radian & D degrees.

As π radian is equal to 180∘.

So,       Do =  D/180×π  i.e. R = D/180×π  or,  .....

Here, To find point on the line x+y =5√2 Putting x = 0, we get y = 5√2. So, the point is (0, 5√2) Now,  comparing 2x +2y + 6√2=0  with ax + by + c = 0, we get a= 2, b = 2 and c = .....

The square room contains 600 m3 . This means volume of the room (V) = 600 m3    or,  l x lx h  = 600     [ b = l  for square room.]  or, l2 = 600/h  or, l = √(600/h) where .....

International relationship is a multilateral relation between sovereign states or the relationship between a sovereign state and any other independent organization. It is generally seen that the political condition of the nation determines her .....

Non Aligned Movement (NAM) is a group dedicated in representing the desire and aspiration of developing and underdeveloped nations. The concept arises after Bandung conference in 1955  urging the developing world should abstain from allying .....

The Non-Aligned Movement (NAM) is a forum of 120 developing world states which are not formally aligned with or against any major power bloc (the USA and USSR). After the Bandung Conference in 1955, the NAM was established in 1961 in Belgrade, .....

Here w e have given, Dimension of  wall  is  200m× 0.5m×1.5m high And cost of a brick is Rs 14, We have to find no.of bricks and the total cost. For this,  volume of bricks=  v = 500cm3. Find the volume of .....

Here, M(3, -4) = (x1, y1) N(6, -4) = (x2, y2) Slope of MN is  m = (y2 - y .....