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UPSC NDA 2 2012 Mathematics Paper
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© examsnet.com
Question : 102
Total: 120
The arithmetic mean of numbers
a
,
b
,
c
,
d
,
e
is M. What is the value of
(
a
−
M
)
+
(
b
−
M
)
+
(
c
−
M
)
+
(
d
−
M
)
+
(
e
−
M
)
?
M
a
+
b
+
c
+
d
+
e
0
5
M
Validate
Solution:
Mean
=
a
+
b
+
c
+
d
+
e
5
=
M
New mean
=
(
a
−
M
)
+
(
b
−
M
)
+
(
c
−
M
)
+
(
d
−
M
)
+
(
e
−
M
)
5
=
(
a
+
b
+
c
+
d
+
e
5
)
−
M
=
M
−
M
New mean
=
0
.
© examsnet.com
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