Math Formula Chart

Math Formula Chart

Basic math formulas

Basic math formulas

Average formula:

Let a₁,a₂,a₃,......,a_n be a set of numbers, average = (a₁ + a₂ + a₃,+......+ a_n)/n

Formula for a proportion:

In a proportion, the product of the extremes (ad) equal the product of the means(bc),

Thus, ad = bc

Percent:

Percent to fraction: x% = x/100

Percentage formula: Rate/100 = Percentage/base

Rate: The percent.
Base: The amount you are taking the percent of.
Percentage: The answer obtained by multiplying the base by the rate

Consumer math formulas:

Discount = list price × discount rate

Sale price = list price − discount

Discount rate = discount ÷ list price

Sales tax = price of item × tax rate

Interest = principal × rate of interest × time

Tips = cost of meals × tip rate

Commission = cost of service × commission rate

Geometry formulas:

Perimeter:

Perimeter of a square: s + s + s + s
s:length of one side

Perimeter of a rectangle: l + w + l + w
l: length
w: width

Perimeter of a triangle: a + b + c
a, b, and c: lengths of the 3 sides

Area:

Area of a square: s × s
s: length of one side

Area of a rectangle: l × w
l: length
w: width

Area of a triangle: (b × h)/2
b: length of base
h: length of height

Area of a trapezoid: (b₁ + b₂) × h/2
b₁ and b₂: parallel sides or the bases
h: length of height

volume:

Volume of a cube: s × s × s
s: length of one side

Volume of a box: l × w × h
l: length
w: width
h: height

Volume of a sphere: (4/3) × pi × r³
pi: 3.14
r: radius of sphere

Volume of a triangular prism: area of triangle × Height = (1/2 base × height) × Height
base: length of the base of the triangle
height: height of the triangle
Height: height of the triangular prism

Volume of a cylinder:pi × r² × Height
pi: 3.14
r: radius of the circle of the base
Height: height of the cylinder

Krishna

One Liner General Knowledge Questions

One Liner General Knowledge Questions

1. Sachin Tendulkar scored his 100th international century against which’ country ? – Bangladesh
2. In baseball, the two opposing teams consist of howmany players? – 9 players each
3. Which Sanskrit poet called as the Indian Shakespeare? – Kalidas
4. ‘My Music, My Life’ is the autobiography of which person? – Pt. Ravi Shankar 
5. Which was the first talkie film of India? – Alam Ara
6. Folk painting ‘Madhubani’ is famous in which state? – Bihar
7. When is International Human Solidarity Day observed? – December 20
8. Foot-and-Mouth disease in animals, a current epidemic in some parts of the world, By which is this caused ? – Bacterium
9. By which number the quality of gasoline’ sample is determined? – By its octane number
10. With which is the ‘Tennis court oath’ associated? – French Revolution
11. With which country is “Orange’ Revolution” associated? – Ukraine
12. With which field was Pandit Bhimsen Joshi associated? – Music’s
13. Who was the first person to cross the Alps with army? –Hannibal
14. Where is the headquarter of International atomic Energy Agency is located? – Vienna
15. The book ‘Diplomatic Encounter’ has been written by which author? –Arundhati Roy
16. Who is the author of the book ‘The Rights of Man’? – Thomas Paine
17. The book ‘Worshipping False Gods’s is written by which person? –Arun Shourie
18. Who directed the famous T.V. serial ‘Tandoori Nights’? – Saeed Jaffrey
19. Regatta is associated with which sports event? – Rowing
20. Which woman has become the highest individual scorer in an innings in Tests? – Kiran Baloch
21. What is the name of the person that controls a football match? – An umpire 
22. Who is the leading wicket taker in the history of Test cricket? – Shane Warne
23. Amarya Sen, the NRI Nobel laureate got the honour for which work? – Poverty and famines
24. Where did India made her debut in Olympic football? – London in 1948
25. Where were first Olympic Games held? – 776 B.C.
26. The celebrated novel ‘The Godfather’ was authored by which author? – Mario Puzo
27. Which book is entitled as ‘Bible of Communism’ ? – Das Kapital
28. Who is popularly known as ‘Nightingale of India’ ? – Sarojini Naidu
29. Dr. M. S. Swaminathan distinguished himself in which field? – Agriculture 
30. The fragments of which comet system collided with Jupiter in July 1994 ? – Shoemaker-Levy 9
31. Where is the largest automobile manufacturing centre in the world located? – Detroit
32. ORT (Oral Rehydration Therapy) is associated with the treatment of which disease? – Diarrhea
33. Which type of coal is difficult to light in the open air? – Peat
34. Among South Asian countries which one is the Maternal Mortality Ratio (per 1,000 live births) lowest? – Bangladesh
35. Coolgardie lies in the Australian province of which direction? – Western Australia
36. Gum Gopi Krishna was a maestro of which dance form? – Kathak
37. With which field was Satyajit Ray associated? – Direction of films
38. In which year did UN establish the UN Conference on Trade and Development? – 1964
39. Which is UN Programme and not special agency? – UNEP
40. Who is the author of the famous novel ‘Gone with the Wind’? – Charles Dickens

GK Imp

41.Capital of Finland is?Helsinki.

42.The boundary 'Durand Line' is between Pakistan and?Afghanisthan.

43.Headquarter of SAARC is in?Kathmandu, Nepal.

44.Who wrote the book 'City of Joy'?Dominique Lapierre.

45.Which gland regulates the amount of water excreted by the kidneys?Pituitary gland

46.What is the capital of Dadar and Nagar Havelli?Silvassa.

47.Which Indian freedom fighter was popularly called 'Mahamana' ?Madan Mohan Malaviya.48.'Anandmath' was written by which Bengali writer?Bankim Chandra Chatterjee49.What is the name of first indigenously developed Super Computer of India?Param50.Who is the first indian Tenis player to win boy's Australian Open Junior Title?Yuki Bhambri.51.In terms of area, which is the smallest state in India?Goa.52.Who founded Forward Block political party?Subhash Chand Bose.53.Which architect designed the city of Chandigarh ?Le Corbusier.54.The boundary line demarcating India and Pakistan is known as?Radcliffe Line.55.Which mughal emperor built 'Jama Masjid'?Shahjahan.56.The ultimate source of energy in an ecosystem is?Sun.57.Who was the first indian woman to scale the Mount Everest?Bachendri Pal.58.What is the difference in time between Indian Standard Time (IST) and Greenwich Mean Time (GMT)?05:30 hours.59.What is the longest English word that doesn't repeat a letter?Uncopyrightables.60.Which dynasty built Khajuraho temples?Chandelas