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India LIMIT
2020 LIMIT
2020 LIMIT Category 1
20
Divisible by 11^3
Divisible by 11^3
Source: LIMIT 2020 Cat 1 Obj P20
May 2, 2020
number theory
limit
Problem Statement
How many integers
n
n
n
, satisfy
∣
n
∣
<
2020
|n|<2020
∣
n
∣
<
2020
and the equation
1
1
3
∣
n
3
+
3
n
2
−
107
n
+
1
11^3|n^3+3n^2-107n+1
1
1
3
∣
n
3
+
3
n
2
−
107
n
+
1
(A)
0
0
0
(B)
101
101
101
(C)
367
367
367
(D)
368
368
368
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