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Regional Mathematical Olympiad
2016 India Regional Mathematical Olympiad
2016 India Regional Mathematical Olympiad
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Regional Mathematical Olympiad
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7
1
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2016 Chandigarh RMO Geometry box tools are on table as in figure, angle find
Two of the Geometry box tools are placed on the table as shown. Determine the angle
∠
A
B
C
\angle ABC
∠
A
BC
https://2.bp.blogspot.com/--DWVwVQJgMM/XU1OK08PSUI/AAAAAAAAKfs/dgZeYwiYOrQJE4eKQT5s13GQdBEHPqy9QCK4BGAYYCw/s1600/prmo%2B16%2BChandigarh%2Bp7.png
8
1
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2016 Chandigarh RMO integer polynomial take values 1,2,3
At some integer points a polynomial with integer coefficients take values
1
,
2
1, 2
1
,
2
and
3
3
3
. Prove that there exist not more than one integer at which the polynomial is equal to
5
5
5
.
6
7
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5
7
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4
7
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3
7
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2
7
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1
7
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