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KVPY 2020-21 SA Exam Previous Papers
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© examsnet.com
Question : 11
Total: 80
Let
r
be the remainder when
2021
2020
is divided by
2020
2
. Then
r
lies between
0 and 5
10 and 15
20 and 100
107 and 120
Validate
Solution:
(
2021
)
2020
=
(
1
+
2020
)
2020
=
2020
C
0
+
2020
C
1
.
2020
+
2020
C
2
(
2020
)
2
+
.
.
.
.
.
.
.
=
1
+
(
2020
)
2
+
(
2020
)
2
×
λ
, where
λ
∈
z
+
when divided by
(
2020
)
remainder will be 1.
© examsnet.com
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