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UPSC 2016 CDS II Math Paper
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© examsnet.com
Question : 98
Total: 100
What is the difference between the sum of the cubes and that of squares of first ten natural numbers ?
[2016 CDS-II]
2280
2640
3820
4130
Validate
Solution:
1
3
+
2
3
+
3
3
+
.
.
.
+
10
3
=
10
2
(
10
+
1
)
2
4
=
3025
1
2
+
2
2
+
3
2
+
.
.
.
+
10
2
=
10
(
10
+
1
)
(
2
×
10
+
1
)
6
=
385
∴ Required difference
=
3025
−
385
=
2640
© examsnet.com
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