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Xavier Aptitude Test 2021 Solved Paper
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© examsnet.com
Question : 1
Total: 100
If
log
4
m
+
log
4
n
=
log
2
(
m
+
n
)
where
m
and
n
are positive real numbers, then which of the following must be true?
1
m
+
1
n
=
1
m
=
n
m
2
+
n
2
=
1
1
m
+
1
n
=
2
No values of
m
and
n
can satisfy the given equation
Validate
Solution:
log
4
m
n
=
log
2
(
m
+
n
)
√
m
n
=
(
m
+
n
)
Squarring on both sides
m
2
+
n
2
+
m
n
=
0
Since
m
,
n
are positive real numbers, no value of
m
and
n
satisfy the above equations.
© examsnet.com
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