Difference between revisions of "1973 Canadian MO Problems"
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[[1973 Canadian MO Problems/Problem 5 | Solution]] | [[1973 Canadian MO Problems/Problem 5 | Solution]] | ||
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| + | ==Problem 6== | ||
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| + | [[1973 Canadian MO Problems/Problem 6 | Solution]] | ||
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| + | ==Problem 7== | ||
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| + | [[1973 Canadian MO Problems/Problem 7 | Solution]] | ||
== Resources == | == Resources == | ||
[[1973 Canadian MO]] | [[1973 Canadian MO]] | ||
Revision as of 21:37, 16 December 2011
Contents
Problem 1
Solve the simultaneous inequalities, 
and 
; i.e. find a single inequality equivalent to the two simultaneous inequalities.
What is the greatest integer that satisfies both inequalities 
and 
.
Give a rational number between 
and 
.
Express 
as a product of two integers neither of which is an integral multiple of 
.
Without the use of logarithm tables evaluate 
.
