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2023 UMD Math Competition Part I
#1
#1
Part of
2023 UMD Math Competition Part I
Problems
(1)
An ant walks
Source: UMD 2023 I #1
10/27/2023
An ant walks a distance
A
=
1
0
9
A = 10^9
A
=
1
0
9
millimeters. A bear walks
B
=
1
0
6
B = 10^6
B
=
1
0
6
feet. A chicken walks
C
=
1
0
8
C = 10^8
C
=
1
0
8
inches. What is the correct ordering of
A
,
B
,
C
?
A, B, C?
A
,
B
,
C
?
(Note there are
25.4
25.4
25.4
millimeters in an inch, and there are
12
12
12
inches in a foot.)
a
.
A
<
B
<
C
b
.
A
<
C
<
B
c
.
C
<
B
<
A
d
.
B
<
A
<
C
e
.
B
<
C
<
A
\mathrm a. ~ A<B<C\qquad \mathrm b.~A<C<B\qquad \mathrm c. ~C<B<A \qquad \mathrm d. ~B<A<C \qquad \mathrm e. ~B<C<A
a
.
A
<
B
<
C
b
.
A
<
C
<
B
c
.
C
<
B
<
A
d
.
B
<
A
<
C
e
.
B
<
C
<
A
UMD
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