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2023-24 IOQM India
3
IOQM 2023-24 P-3
IOQM 2023-24 P-3
Source:
September 3, 2023
Problem Statement
Let
α
\alpha
α
and
β
\beta
β
be positive integers such that
16
37
<
α
β
<
7
16
.
\frac{16}{37}<\frac{\alpha}{\beta}<\frac{7}{16} .
37
16
<
β
α
<
16
7
.
Find the smallest possible value of
β
\beta
β
.
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