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Revision as of 09:18, 11 January 2018
Contents
[hide]Day 1
Problem 1
Given any three sets ,
and
. The set
is equal to the set:
(a)
(b)
(c)
(d)
(e)
Problem 2
The polynomial has real roots
,
and
. Thus the value of the sum of
is:
(a)
(b)
(c)
(d)
(e)
Problem 3
Let and
be positive integers such that
. Find the remainder of the division of
by
.
(a)
(b)
(c)
(d)
(e)
Problem 4
Compute
Img
cis
(a)
(b)
(c)
(d)
(e)
Note: Img(w) is the imaginary part of w.
Problem 5
Let . It's known that
and
have a root in common. Therefore, we can say that for every value of
and
:
(a)
(b)
(c)
(d)
(e)
Problem 6
Let be a geometric progression and
,
and
be a arithmetic progression, both in these order, so we can say that
,
and
:
(a) are the sides of a obtusangle triangle.
(b) are the sides of a acutangle triangle that's not equilateral.
(c) are the sides of a equilateral triangle.
(d) are the sides of a right triangle.
(e) can't be the sides of a triangle.
Problem 7
Compute
(a)
(b)
(c)
(d)
(e)
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