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Posting here until I find a place for an upcoming mock I’m creating | Posting here until I find a place for an upcoming mock I’m creating | ||
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==Problem 1== | ==Problem 1== |
Revision as of 09:44, 12 May 2021
Posting here until I find a place for an upcoming mock I’m creating
Problem 1
What is the smallest value of that minimizes
?
Problem 2
Suppose the set denotes
. Then, a subset of length
is chosen. All even digits in the subset
are then are put into group
, and the odd digits are put in
. Then, one number is selected at random from either
or
with equal chances. What is the probability that the number selected is a perfect square, given
?
Problem 3
Let be a unit square. If points
and
are chosen on
and
respectively such that the area of
. What is
?
Problem 4
What is the smallest value of for which
Problem 5
Let a recursive sequence be denoted by such that
and
. Suppose
for
. Let an infinite arithmetic sequence
be such that
. If
is prime, for what value of
will
?
Problem 6
Find