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UPSC CDS I 2019 Math Paper
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© examsnet.com
Question : 15
Total: 100
If a, b and c are positive integers such that
1
a
+
1
b
+
1
c
+
1
2
=
16
23
, then w hat is the mean of a, b and c ?
[2019 CDS-I]
1
2
1.33
2.33
Validate
Solution:
16
23
=
1
23
16
=
1
1
+
7
16
=
1
1
+
1
16
7
=
1
1
+
1
2
+
2
7
=
1
1
+
1
2
+
1
7
2
=
1
1
+
1
2
+
1
3
+
1
2
Comparing
1
1
+
1
2
+
1
3
+
1
2
with
1
a
+
1
b
+
1
c
+
1
2
,we get:
a
=
1
,
b
=
2
,
c
=
3
∴
a
+
b
+
c
3
=
1
+
2
+
3
3
=
2
© examsnet.com
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