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UPSC NDA II 2015 Mathematics Solved Paper
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© examsnet.com
Question : 5
Total: 120
What is
(
1000000001
)
2
−
(
0.0101
)
2
equal to ?
[NDA II 2015]
(
512
⋅
6775
)
10
(
512
⋅
6875
)
10
(
512
⋅
6975
)
10
(
512
⋅
0909
)
10
Validate
Solution:
(
1000000001
)
2
=
1
×
2
0
+
0
×
2
1
+
0
×
2
2
+
.
.
.
.
.
.
+
1
×
2
9
=
1
+
0
+
0
+
.
.
.
.
.
.
+
512
=
(
513
)
10
(
0.0101
)
2
=
0
×
2
−
1
+
1
×
2
−
2
+
0
×
2
−
3
+
1
×
2
−
4
=
1
4
+
1
16
=
5
16
=
(
0.3125
)
10
(
1000000001
)
2
−
(
0.0101
)
2
=
513
−
0.312
=
(
512.6875
)
10
© examsnet.com
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