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CMAT 2021 Solved Question Paper
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© examsnet.com
Question : 3
Total: 100
Given below are two statements.
Statement I
(
543
)
6
is equivalent to
(
317
)
8
Statement II
The last 4 bits in the binary representation of a multiple of 16 is 1000 .
In light of the above statements, choose the correct answer from the options given below.
Both Statement I and II are true
Both Statement I and II are false
Statement I is true but II is false
Statement I is false but II is true
Validate
Solution:
Statement I
(
543
)
6
=
5
×
6
2
+
4
×
6
1
+
3
×
6
0
=
180
+
24
+
3
=
207
and
(
317
)
8
=
3
×
8
2
+
1
×
8
1
+
7
×
8
0
=
192
+
8
+
7
=
207
∴ Statement
I
is true.
Statement II is not true.
© examsnet.com
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