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Other
Quantitative Aptitude
Progressions
If x>1, y>1, ...
Question
If x > 1, y > 1, z > 1 are in G.P, then
1
1
+
l
o
g
x
,
1
1
+
l
o
g
y
,
1
1
+
l
o
g
z
are in
A
A.P
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B
H.P
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C
G.P
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D
None of these
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Solution
The correct option is
B
H.P
y
2
=
x
z
,
1
+
l
o
g
x
,
1
+
l
o
g
y
,
1
+
l
o
g
z
are in A.P. if
2
l
o
g
y
=
l
o
g
x
+
l
o
g
z
or
y
2
=
x
z
, Option (b) is right.
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0
Similar questions
Q.
If
x
,
y
,
z
are in G.P., where
x
,
y
,
z
>
1
, then
1
1
+
log
x
,
1
1
+
log
y
,
1
1
+
log
z
are in
Q.
If
x
,
y
,
z
all are greater than unity and are in G.P.then
1
1
+
log
x
,
1
1
+
log
y
,
1
1
+
log
z
are in
Q.
Suppose
x
,
y
,
z
>
0
and are not equal to
1
and
log
x
+
log
y
+
log
z
=
0
. What is the value of
x
1
log
y
+
1
log
z
×
y
1
log
z
+
1
log
x
×
z
1
log
x
+
1
log
y
.
(All log functions have base
10
)
Q.
If
x
,
y
,
z
satisfies the equations
x
+
log
(
x
+
√
x
2
+
1
)
=
y
y
+
log
(
y
+
√
y
2
+
1
)
=
z
z
+
log
(
z
+
√
z
2
+
1
)
=
x
,
then find the value of
(
1
−
x
)
2
+
(
1
−
y
)
2
+
(
1
−
z
)
2
.
Q.
If
x
>
1
,
y
>
1
,
z
>
1
are in G.P., then
1
1
+
I
n
x
,
1
1
+
I
n
y
,
1
1
+
I
n
z
are in
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