Monday, 17 September 2012
Important Days In November of India and World's : :
Important Days In November of India and World's : : ::
Important Days In October of India and World's : :
List of Important days in October ::
1st October
Sairi Festival
Tsokum Festival
World Architecture Day
International Music Day - IMC
National Voluntary Blood Donation Day - India
World Habitat Day
Ayudha Mela
World Vegetarian Day
World Elders Day
Wildlife Week
2nd October
Mehregan
World Farm Animals Day
Sitabari Fair
Mahatma Gandhi Jayanti
International Non-Violence Day
4th October
Ram Barat
Qutub Festival
World Animal Day
Pomblang Lewduh
Matasya Festival - Alwar
5th October
World Teacher's Day
Yemshe
Franklin Applefest
Aranyam International Environment and Wildlife Film Festival
World Smile Day
World Habitat Day
6th October
World Animals Day
7th October
Kanya Puja
World Day for Decent Work
8th October
Indian Air force Day
Jimutbahan Brat
Columbus Day
9th October
Guru Ram Das Ji's Birthday
Rayalaseema Festival
World Post Day
10th October
World Mental Health Day
Indian National Postal Day
Marwar Festival
Sheetla Saras Mela
11th October
Sri Vithappa Fair
Kumar Purnima
Gajalaxmi Puja
World Sight Day
International Day of the Girl Child
Sharad Purnima
12th October
Maschinenfest
Pavarana
World Egg Day
13th October
World Calamity Control Day
UBC Apple Festival
International Day for Disaster Risk Reduction
14th October
World Standards Day
Wildscreen Festival
Koratty Muthys Feast Festival
15th October
International Day of Rural Women
Tirumala Brahmotsavam
White Cane Safety Day
Global Handwashing Day
16th October
Bongvum
World Food Day
Navaratri
Ramlila
17th October
Tula Sankramana
Anti Poverty Day
18th October
Thimithi Festival
19th October
Fantasy Fest
20th October
Manektari Punam Fair
21st October
Maha Saptami
Barbanki Mela
Durga Puja
Godachi Fair
Kali Puja
22nd October
Royal Thai Barge Procession
Maha Ashtami
Autumn Flower Show - Frankfurt
24th October
Dussehra
World Development Information Day
United Nations Day
Indo Tibetan Border Police Raising day
25th October
World Pasta Day
Cape Festival
Chega Gadi
Bateshwar Fair
26th October
Laxmi Puja
The Fest - Gainesville
Chicago International Children's Film Festival
27th October
Saffron Rose Festival - Consuegra
Mha Puja
Banff Mountain Film and Book Festival
World Day for Audiovisual Heritage
28th October
World Mother-in-Law's Day
29th October
Maharshi Valmiki Jayanti
Dublin Sensual Dance Festival
Kolayat Fair
30th October
World Savings Day
World Thrift Day
31st October
Halloween
National Intergration Day
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Important Maths Formulas
Important Maths Formulas ::
1. Sum of first n natural numbers = n(n+1)/2
2. Sum of the squares of first n natural numbers = n(n+1)(2n+1)/6
3. Sum of the cubes of first n natural numbers = [n(n+1)/2]^2
4. Sum of first n natural odd numbers = n^2
5. Average = (Sum of items)/Number of items
Arithmetic Progression (A.P.):
An A.P. is of the form a, a+d, a+2d, a+3d, ...
where a is called the 'first term' and d is called the 'common difference'
1. nth term of an A.P. tn = a + (n-1)d
2. Sum of the first n terms of an A.P. Sn = n/2[2a+(n-1)d] or Sn = n/2(first term + last term)
Geometrical Progression (G.P.):
A G.P. is of the form a, ar, ar2, ar3, ...
where a is called the 'first term' and r is called the 'common ratio'.
1. nth term of a G.P. tn = arn-1
2. Sum of the first n terms in a G.P. Sn = a|1-rn|/|1-r|
Permutations and Combinations :
nPr = n!/(n-r)!
nPn = n!
nP1 = n
nCr = n!/(r! (n-r)!)
nC1 = n
nC0 = 1 = nCn
nCr = nCn-r
nCr = nPr/r!
Number of diagonals in a geometric figure of n sides
nC2-n
Tests of Divisibility :
A number is divisible by 2 if it is an even number.
A number is divisible by 3 if the sum of the digits is divisible by 3.
A number is divisible by 4 if the number formed by the last two digits is divisible by 4.
A number is divisible by 5 if the units digit is either 5 or 0.
A number is divisible by 6 if the number is divisible by both 2 and 3.
A number is divisible by 8 if the number formed by the last three digits is divisible by 8.
A number is divisible by 9 if the sum of the digits is divisible by 9.
A number is divisible by 10 if the units digit is 0.
A number is divisible by 11 if the difference of the sum of its digits at odd places and the sum of its digits at even places, is divisible by 11.
H.C.F and L.C.M :
H.C.F stands for Highest Common Factor. The other names for H.C.F are Greatest Common Divisor (G.C.D) and Greatest Common Measure (G.C.M).
The H.C.F. of two or more numbers is the greatest number that divides each one of them exactly.
The least number which is exactly divisible by each one of the given numbers is called their L.C.M.
Two numbers are said to be co-prime if their H.C.F. is 1.
H.C.F. of fractions = H.C.F. of numerators/L.C.M of denominators
L.C.M. of fractions = G.C.D. of numerators/H.C.F of denominators
Product of two numbers = Product of their H.C.F. and L.C.M.
PERCENTAGES :
If A is R% more than B, then B is less than A by R / (100+R) * 100
If A is R% less than B, then B is more than A by R / (100-R) * 100
If the price of a commodity increases by R%, then reduction in consumption, not to increase the expenditure is : R/(100+R)*100
If the price of a commodity decreases by R%, then the increase in consumption, not to decrease the expenditure is : R/(100-R)*100
PROFIT & LOSS :
Gain = Selling Price(S.P.) - Cost Price(C.P)
Loss = C.P. - S.P.
Gain % = Gain * 100 / C.P.
Loss % = Loss * 100 / C.P.
S.P. = (100+Gain%)/100*C.P.
S.P. = (100-Loss%)/100*C.P.
If CP(x), Gain(y), Gain%(z). Then y = x*z/100. [Same in case of Loss]
RATIO & PROPORTIONS:
The ratio a : b represents a fraction a/b. a is called antecedent and b is called consequent.
The equality of two different ratios is called proportion.
If a : b = c : d then a, b, c, d are in proportion. This is represented by a : b :: c : d.
In a : b = c : d, then we have a* d = b * c.
If a/b = c/d then ( a + b ) / ( a – b ) = ( c + d ) / ( c – d ).
TIME & WORK :
If A can do a piece of work in n days, then A's 1 day's work = 1/n
If A and B work together for n days, then (A+B)'s 1 days's work = 1/n
If A is twice as good workman as B, then ratio of work done by A and B = 2:1
PIPES & CISTERNS :
If a pipe can fill a tank in x hours, then part of tank filled in one hour = 1/x
If a pipe can empty a full tank in y hours, then part emptied in one hour = 1/y
If a pipe can fill a tank in x hours, and another pipe can empty the full tank in y hours, then on opening both the pipes,
the net part filled in 1 hour = (1/x-1/y) if y>x
the net part emptied in 1 hour = (1/y-1/x) if x>y
TIME & DISTANCE :
Distance = Speed * Time
1 km/hr = 5/18 m/sec
1 m/sec = 18/5 km/hr
Suppose a man covers a certain distance at x kmph and an equal distance at y kmph. Then, the average speed during the whole journey is 2xy/(x+y) kmph.
PROBLEMS ON TRAINS :
Time taken by a train x metres long in passing a signal post or a pole or a standing man is equal to the time taken by the train to cover x metres.
Time taken by a train x metres long in passing a stationary object of length y metres is equal to the time taken by the train to cover x+y metres.
Suppose two trains are moving in the same direction at u kmph and v kmph such that u>v, then their relative speed = u-v kmph.
If two trains of length x km and y km are moving in the same direction at u kmph and v kmph, where u>v, then time taken by the faster train to cross the slower train = (x+y)/(u-v) hours.
Suppose two trains are moving in opposite directions at u kmph and v kmph. Then, their relative speed = (u+v) kmph.
If two trains of length x km and y km are moving in the opposite directions at u kmph and v kmph, then time taken by the trains to cross each other = (x+y)/(u+v)hours.
If two trains start at the same time from two points A and B towards each other and after crossing they take a and b hours in reaching B and A respectively, then A's speed : B's speed = (√b : √a)
SIMPLE & COMPOUND INTERESTS :
Let P be the principal, R be the interest rate percent per annum, and N be the time period.
Simple Interest = (P*N*R)/100
Compound Interest = P(1 + R/100)^N – P
Amount = Principal + Interest
when rate of interest time n principal are constant den principal=(C.I.-S.I.)*(100/R)^N
LOGORITHMS :
If a^m = x , then m = loga(x).
Properties :
logx(x) = 1
logx(1) = 0
loga(x*y) = loga(x) + loga(y)
loga(x/y) = log ax - log ay
loga(x) = 1/logx(a)
loga(x^p) = p(loga(x))
loga(x) = logb(x)/logb(a)
Note : Logarithms for base 1 does not exist.
AREA & PERIMETER :
Shape -- Area -- Perimeter
Circle -- ∏ (Radius)2 -- 2∏(Radius)
Square -- (side)2 -- 4(side)
Rectangle -- length*breadth -- 2(length+breadth)
Area of a triangle = 1/2*Base*Height or
Area of a triangle = √ (s(s-(s-b)(s-c)) where a,b,c are the lengths of the sides and s = (a+b+c)/2
Area of a parallelogram = Base * Height
Area of a rhombus = 1/2(Product of diagonals)
Area of a trapezium = 1/2(Sum of parallel sides)(distance between the parallel sides)
Area of a quadrilateral = 1/2(diagonal)(Sum of sides)
Area of a regular hexagon = 6(√3/4)(side)2
Area of a ring = ∏(R2-r2) where R and r are the outer and inner radii of the ring.
Area of a circle=πr^2 or πd^2/4
Area of semi-circle=πr^2/2
Area of a quadrant of a circle=πr^2/4
Area enclosed by two concentric circles=π(R^2-r^2)
Area of a sector=Ɵ/180 degree *πr
No of revolutions completed by a rotating wheel in 1 minute=distance moved in 1 minute/circumference
VOLUME & SURFACE AREA :
Cube :
Let a be the length of each edge. Then,
Volume of the cube = a3 cubic units
Surface Area = 6a2 square units
Diagonal = √ 3 a units
Cuboid :
Let l be the length, b be the breadth and h be the height of a cuboid. Then
Volume = lbh cu units
Surface Area = 2(lb+bh+lh) sq units
Diagonal = √ (l2+b2+h2)
Cylinder :
Let radius of the base be r and height of the cylinder be h. Then,
Volume = ∏r2h cu units
Curved Surface Area = 2∏rh sq units
Total Surface Area = 2∏rh + 2∏r2 sq units
Cone :
Let r be the radius of base, h be the height, and l be the slant height of the cone. Then,
l2 = h2 + r2
Volume = 1/3(∏r2h) cu units
Curved Surface Area = ∏rl sq units
Total Surface Area = ∏rl + ∏r2 sq units
Sphere :
Let r be the radius of the sphere. Then,
Volume = (4/3)∏r3 cu units
Surface Area = 4∏r2 sq units
Hemi-sphere :
Let r be the radius of the hemi-sphere. Then,
Volume = (2/3)∏r3 cu units
Curved Surface Area = 2∏r2 sq units
Total Surface Area = 3∏r2 sq units
Prism :
Volume = (Area of base)(Height)
ALGEBRA
1.(a+b)^2=a^2+2ab+b^2
2.(a-b)^2=a^2-2ab+b^2
3.(a+b)^2=(a-b)^2+4ab
4.(a-b)^2=(a+b)^2-4ab
5.a^2-b^2=(a+b)(a-b)
6.(a + b)3= a3+ b3+ 3ab(a + b)
7.a3+ b3= (a + b)3− 3ab(a + b);(a+b)^3-3ab(a+b)
8.(a − b)3= a3− b3− 3ab(a − b)
9.a3− b3= (a − b)3+ 3ab(a − b);(a-b)^3+3ab(a-b)
10.a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)
=(a+b+c)*1/2*[(a-b)^2+(b-c)^2+(c-a)^2]
11.if a+b+c=0 then a^3+b^3+c^3=3abc
12.(a+b+c)^3=a^3+b^3+c^3+3(b+c)(c+a)(a+b)
13.a^2+b^2=(a+b)^2-2ab=(a-b)^2+2ab
14.(a+b+c)^2=a^2+b^2+c^2+2(ab+bc+ca)
15.. a^n− b^n= (a − b)(a^n−1+ a^n−2*b + a^n−3*b^2+ .....+b^n−1)
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Sunday, 16 September 2012
Date : : 16th September 2012 Very Important News of the Day : :
Date ::
16th September 2012 Very Important News of the Day ::
( 1 ) World Ozone Day- 16th Sept.
( 2 ) The government has drawn a blueprint for developing the next generation of supercomputers that could be 61 times faster than existing machines by 2017.
( 3 ) Foreign Institutional Investors (FIIs) investment in the country's equity market has reached Rs 65,954 crore.
( 4 ) Coffee consumption in India grew by 3 per cent to 1.76 million bags (1.06 lakh tonnes) in the last calender year as compared to 2010,according to the International Coffee Organisation (ICO) .
( 5 ) BCCI scouts for new IPL team, shortlists 10 cities.
( 6 ) Cricketer of the year: Kumar Sangakkara (Sri Lanka);
Test cricketer of the year: Kumar Sangakkara (Sri Lanka);
One-day cricketer of the year: Virat Kohli (India);
Women's one-day cricketer of the year: Stafanie Taylor (West Indies);
Emerging cricketer of the year: Sunil Narine (West Indies);
Associate and Affiliate cricketer of the year: George Dockrell (Ire Land);
Twenty20 international performance of the year: Richard Levi (South Africa) for his 117 not out off 51 balls v New Zealand;
Women's Twenty20 cricketer of the year: Sarah Taylor (England);
Umpire of the year: Kumar Dharmasena (Sri Lanka);
Spirit of cricket award: Daniel Vettori (New Zeland);
People's choice award: Kumar Sangakkara (Sri Lanka);
Saturday, 15 September 2012
Date : : 15th September 2012 Very Important News of the Day : :
Date ::
15th September 2012 Very Important News of the Day ::
( 1 ) Dhoni named captain of ICC ODI Team of the Year.
( 2 ) Deccan Chargers' contract with IPL terminated.
( 3 ) Retail market may attract up to $16bn FDI in 3 yrs.
( 4 ) Truckers body, The All India Motor Transport Congress (AIMTC) has increased freight charges by 15 % across the country.
( 5 ) The addressing system, Internet Protocol version 4 (IPv4), which allows connectivity of computers on the internet, has hit its limit after 30 years with more than 4.2 billion addresses.
( 6 ) Sri Sri Ravi Shankar, well known humanitarian and spiritual teacher and ambassador of peace, has been honoured with Paraguay's highest civilian award, National Order of Merito de Comuneros on September 13, during a two-day visit to the South American country.
( 7 ) India's foreign exchange reserves rose $1.58 billion to $292 billion during the week ended September 7, mainly due to revaluation of currencies.
( 8 ) In 2011-12,Indian railways exported 2,84,386 tons of goods to Pakistan as against 1,27,006 tons in 2010-11 while on the other hand pakistan carried back 4,33,193 tons of goods in 2011-12 as against 5,56,966 tons in 2010-11.
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