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Born: 18 July 1918 ![]()
Birthplace: Umtata, Transkei
Best Known As: The first black president of South Africa
Name at birth: Rolihlahla Mandela
Nelson Mandela spent 27 years as a political prisoner in South Africa before becoming the country's first black president. Mandela was a leading member of the African National Congress (ANC), which opposed South Africa's white minority government and its policy of racial separation, known as apartheid. The government outlawed the ANC in 1960. Mandela was captured and jailed in 1962, and in 1964 he was convicted of treason and sentenced to life in prison. Instead of disappearing from view, Mandela became a prison-bound martyr and worldwide symbol of resistance to racism. South African President F.W. de Klerk finally lifted the ban on the ANC and released Mandela in 1990. Mandela used his stature to help dismantle apartheid and form a new multi-racial democracy, and he and de Klerk shared the Nobel Peace Prize in 1993. Mandela was elected the country's president in 1994. He served until 1999, when he was succeeded by his deputy Thabo Mbeki. Mandela's autobiography, Long Walk to Freedom, was published in 1994.
Mandela says in Long Walk to Freedom that he was given the English name "Nelson" by his teacher on his first day at school... Mandela has been married three times: to the former Evelyn Mase from 1944 to 1957, to Winnie Madikizela from 1958 to 1996, and to Graca Machel since 1998... Mandela's wife Winnie became a powerful figure in her own right while Mandela was imprisoned; however, her entanglement in a series of scandals led to the couple's estrangement in 1992, her dismissal from his cabinet in 1995, and their official divorce in 1996.
A man can walk up a moving "up" escalator in 1/2 minute.
He can walk down this moving "up" escalator in 1 and 1/2 minutes. If his walking pace is the same going up stairs as it is going down stairs,
how long would it take him to climb the escalator stairs if it was not moving?
How long would it take him to go up the moving escalator if he stood still?
What is the greatest number of parts the plane can be divided by:
n straight lines ?
n circles ?
Evaluate
.x------- 0
thank you jane
In a cyclic quadrilateral ABCD, prove that
If
then prove that
In acute triangle ABC with circumcenter O and altitude AP, angle C
is greater than or equal to angle B plus 30 degrees. Prove that angle A
plus angle COP is less than 90 degrees.
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If a,b,c are three distinct nonzero real numbers and
for some real number t
prove that
.im sory
a positive integerprove that
with
a positive integercos(a-b) + cos(b-c) + cos(c-a) = -3/2
The value (sina + sinb + sinc)/(cosa + cosb + cosc) is:
(i)Some Rational Number
(ii)Infinity
(iii)0
(iv)Indeterminate
Let
Solve in positive integers the cubic
x^3–(x+1)^2=2001
Evaluate the integral
from 0 to pi/2
∫ ln(sin x ) dx
A king was hungry one night and went downstairs to get some food ... He saw mangos in a dish and took 1/6 of them ... Then his wife went downstairs and got 1/5 of the remaining mangos ... Then his son came down and took 1/4 of the remaining mangos ... Then his oldest son went down and took 1/3 of the remaining mangos ... Last his youngest son came down and took 1/2 of the mangos left ... There are 3 mangos left ... How many mangos were in the dish at the beginning?
ABCD is a cyclic quadrilateral in which AB = 4,BC = 3,CD = 2, and AD = 5. Diagonals AC
and BD intersect at X. A circle ω passes through A and is tangent to BD at X. ω intersects AB and
AD at Y and Z respectively. Compute Y Z/BD.

Let G = {M1, M2, ... , Mr} denote the set of n × n permutation matrices (those matrices which have only zeroes and ones as entries, and whose row and column sums are all one), and let A = (M1 + M2 + ... + Mr) / r denote the average of these matrices. Determine A.
Assume xyz=8. Prove that

Determine the number of sections the plane is divided by the sides of a regular n-gon.
Solve the following equation on the set of integers
For which positive integers n can n! be written as a difference of two squares
Two men are walking towards each other along the side of a railway. A freight train overtakes one of them in 20 seconds, i.e., it takes 20 seconds for the train, engine to caboose, to pass him. Exactly 10 minutes after just reaching the first man, the train meets the other man coming in the opposite direction. The train passes this man in 18 seconds. How long after the train has passed the second man will the two men meet?