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UPSC CDS Math Average Questions
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© examsnet.com
Question : 10
Total: 23
If the average of 9 consecutive positive integers is 55, then what is the largest integer ?
[2018 CDS-I]
57
58
59
60
Validate
Solution:
Let nine consecutive positive integers be x, x + 1, x + 2, x + 3,………, x + 8.
Then,
x
+
x
+
1
+
x
+
2
+
.
.
.
x
+
8
9
=
55
⇒
9
x
+
8
(
8
+
1
)
2
9
=
55
⇒
9
x
+
36
=
495
⇒
9
x
=
459
⇒
x
=
51
∴ Largest integer is
51
+
8
=
59
© examsnet.com
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