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Standard XII
Maths
Question
The sum of the numbers
2053
and
412
which are in the scale of seven is
(
929
)
10
(
939
)
10
(
959
)
10
none of these
A
(
959
)
10
B
none of these
C
(
929
)
10
D
(
939
)
10
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Solution
Verified by Toppr
Assuming the given numbers
2053
and
412
are in base
7
number system
Converting
(
2053
)
7
to base 10 representation =
2
×
7
3
+
0
×
7
2
+
5
×
7
+
3
×
7
0
=
(
724
)
10
Similarly, converting
(
412
)
7
to base 10 representation =
4
×
7
2
+
1
×
7
+
2
×
7
0
=
(
205
)
10
⇒
(
724
)
10
+
(
205
)
10
=
(
929
)
10
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