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Past exam of the options I course of the University of Oxford
/
2012
/
C
/
C1
/
d
/
Solution
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Options I course of the University of Oxford
Past exam of the options I course of the University of Oxford
2012
C
C1
d
2026-10-31
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The
positive integers
below
30
coprime
to
30
are
1
,
7
,
11
,
13
,
17
,
19
,
23
,
29.
(1)
There are eight, so
φ
(
30
)
=
8
. Their
sum
can be grouped into four
pairs
summing to
30
:
1
+
7
+
11
+
13
+
17
+
19
+
23
+
29
=
120
=
2
1
⋅
30
⋅
8.
(2)
This agrees with the
formula
.
Ancestors
(13)
d
C1
C
2012
Past exam of the options I course of the University of Oxford
Options I course of the University of Oxford
Year 2 of the mathematics course of the University of Oxford
Mathematics course of the University of Oxford
Undergraduate course of the University of Oxford
Course of the University of Oxford
University of Oxford
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