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KEAM 2011 Math Paper
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© examsnet.com
Question : 35
Total: 120
If the average of the numbers 1, 2, 3, ..., 98, 99,
x
is
100
x
,
then the value of
x
is
51
100
50
99
1
2
51
99
50
101
Validate
Solution:
Given, the average of the number
1
,
2
,
3
,
.
.
.
,
98
99
,
x
is
100
x
⇒
(
1
+
2
+
3
+
.
.
.
+
99
)
+
x
100
=
100
x
⇒
99
2
(
1
+
99
)
+
x
=
10000
x
⇒
99
×
50
=
9999
x
⇒
x
=
99
×
50
9999
⇒
x
=
50
101
© examsnet.com
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