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UPSC NDA I 2010 Mathematics Paper
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© examsnet.com
Question : 24
Total: 120
If the
AM
and
HM
of two numbers are 27 and 12 respectively, then what is their GM equal to?
12
18
24
27
Validate
Solution:
Let the two numbers be
a
and
b
.
So,
a
+
b
2
=
27
, and
1
a
+
1
b
2
=
12
⇒
b
+
a
2
a
b
=
12
⇒
a
b
=
27
12
=
9
4
∴
G.M.
=
√
a
b
=
3
2
© examsnet.com
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