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Byju's Answer
Standard X
Mathematics
Remainder Theorem
When N is div...
Question
When N is divided by 4, the remainder is 3. What is the remainder when 2N is divided by 4?
A
2
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B
3
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C
4
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D
8
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Solution
The correct option is
A
2
According to the question,
n
÷
4
=
q
+
3
Where, q is quotient
n
=
4
q
+
3
∴
2
n
=
2
(
4
q
+
3
)
⇒
2
n
=
8
q
+
6
⇒
8
q
+
4
+
2
⇒
8
q
+
4
+
2
4
∴
r
e
m
i
n
d
e
r
=
2
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