MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Princeton University Math Competition
2018 Princeton University Math Competition
2018 PUMaC Live Round
4.3
2018 PUMaC Live Round 4.3
2018 PUMaC Live Round 4.3
Source:
January 13, 2019
PuMAC
Live Round
Problem Statement
Let
0
≤
a
,
b
,
c
,
d
≤
10
0\leq a,b,c,d\leq 10
0
≤
a
,
b
,
c
,
d
≤
10
. For how many ordered quadruples
(
a
,
b
,
c
,
d
)
(a,b,c,d)
(
a
,
b
,
c
,
d
)
is
a
d
−
b
c
ad-bc
a
d
−
b
c
a multiple of
11
?
11?
11
?
Back to Problems
View on AoPS