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2020 LIMIT Category 1
8
Greatest integer not exceeding a fraction
Greatest integer not exceeding a fraction
Source: LIMIT 2020 Cat 1 Obj P8
May 2, 2020
algebra
limit
number theory
Problem Statement
Find the greatest integer which doesn't exceed
3
100
+
2
100
3
96
+
2
96
\frac{3^{100}+2^{100}}{3^{96}+2^{96}}
3
96
+
2
96
3
100
+
2
100
(A)
81
81
81
(B)
80
80
80
(C)
79
79
79
(D)
82
82
82
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