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Question
Mathematics
The last three digits of the number (27)27 is
Q. The last three digits of the number
(
27
)
27
is
722
168
Binomial Theorem
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A
805
B
301
C
503
D
803
Solution:
(
27
)
27
=
3
81
=
3
⋅
(
9
)
40
=
3
(
10
−
1
)
40
=
3
(
1
0
40
−
40
C
1
⋅
1
0
39
+
…
..
+
40
C
38
⋅
1
0
2
−
40
C
39
⋅
10
+
1
)
=
3
(
1000
λ
−
400
+
1
)
Last 3 digits of this number
=
803
.