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Byju's Answer
Standard XII
Mathematics
Properties of Set Operation
If p, q, r ...
Question
If
p
,
q
,
r
and
s
are four different positive integers selected from
1
to
200
,
then find the highest possible value of
(
p
+
q
)
+
(
r
+
s
)
(
p
+
q
)
+
(
r
−
s
)
Open in App
Solution
I
=
(
p
+
q
)
+
(
r
+
s
)
(
p
+
q
)
+
(
r
−
s
)
0
<
p
,
q
,
r
,
s
≤
200
⇒
(
p
+
q
+
r
)
+
s
(
p
+
q
+
r
)
−
s
⇒
(
p
+
q
+
r
−
s
)
+
2
s
(
p
+
q
+
r
−
s
)
I
⇒
1
+
2
s
(
p
+
q
+
r
−
s
)
Fir
I
to be maximum
(
p
+
q
+
r
)
−
s
=
1
and
s
should be maximum
∴
i
f
(
p
+
q
+
r
)
=
200
And
s
=
199
I
=
1
+
2
(
199
)
(
200
−
199
)
=
1
+
2
(
199
)
I
⇒
1
+
398
=
399
∴
maximum value of
I
=
399
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0
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एक से अधिक उत्तर प्रकार के प्रश्न
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P, Q, R व S धनात्मक पूर्णांक हैं। यदि
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