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[[G285 MC10A Problems/Problem 5|Solution]] | [[G285 MC10A Problems/Problem 5|Solution]] | ||
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+ | ==Problem 6== | ||
+ | Find <cmath>\sum_{j=1}^{50} s^3 \sum_{h=3}^{10} {4h+5}</cmath> | ||
+ | |||
+ | <math>\textbf{(A)}\ 323400\qquad\textbf{(B)}\ 336600\qquad\textbf{(C)}\ 673200\qquad\textbf{(D)}\ 646800\qquad\textbf{(E)}\ 2124150</math> | ||
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+ | [[G285 MC10A Problems/Problem 6|Solution]] | ||
+ | |||
+ | ==Problem 7== |
Revision as of 23:09, 11 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