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Byju's Answer
Standard XII
Mathematics
Inequalities Involving Modulus Function
x and y are...
Question
x
and
y
are two non-negative integral numbers such that
2
x
+
y
=
10
. The sum of the
maximum and minimum values of
(
x
+
y
)
is
A
6
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B
9
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C
10
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D
15
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Solution
The correct option is
D
15
As given
x
and
y
are two non-negative integral numbers such that
2
x
+
y
=
10
.
So, the possible values will be
(
0
,
10
)
,
(
1
,
8
)
,
(
2
,
6
)
,
(
3
,
4
)
,
(
4
,
2
)
,
(
5
,
0
)
The maximum value of
x
+
y
=
10
and minimum value of
x
+
y
=
5
.
∴
sum of maximum and minimum value of
x
+
y
is
15
.
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0
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