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Number System Practice Test 4
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© examsnet.com
Question : 9
Total: 40
When a number divided by 6 leaves a remainder 3. When the square of the same number is divided by 6, the remainder is:
3
2
1
zero
Validate
Solution:
The number = 6x + 3
Now,
(
6
x
+
3
)
2
=
36
x
2
+
36
x
+
9
=
(
36
x
2
+
36
x
+
6
)
+
3
=
6
(
6
x
2
+
6
x
+
1
)
+
3
Hence, required remainder = 3
© examsnet.com
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