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Xavier Aptitude Test 2021 Solved Paper
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© examsnet.com
Question : 25
Total: 100
The top most point of a perfectly vertical pole is marked
A
. The pole stands on a flat ground at point
D
. The points
B
and
C
are somewhere between
A
and
D
on the pole. From a point
E
, located on the ground at a certain distance from
D
, the points
A
,
B
and
C
are at angles of
60
,
45
and
30
°
respectively.
What is
AB
:
BC
:
CD
?
(
3
+
√
3
)
:
(
1
+
√
3
)
:
1
(
3
−
√
3
)
:
1
:
(
√
3
−
1
)
1
:
1
:
1
(
3
−
√
3
)
:
(
√
3
−
1
)
:
1
(
√
3
−
1
)
:
1
:
(
3
−
√
3
)
Validate
Solution:
Let
ED
=
√
3
x
In triangle
CDE
=
tan
30
=
CD
√
3
x
⇒
CD
=
x
In triangle
BDE
,
tan
45
=
BD
√
3
x
⇒
BD
=
√
3
x
⇒
BC
=
√
3
x
−
x
In triangle
ADE
,
tan
60
=
AD
√
3
x
⇒
AD
=
3
x
⇒
AB
=
3
x
−
√
3
x
AB
:
BC
:
CD
=
(
3
−
√
3
)
:
(
√
3
−
1
)
:
1
© examsnet.com
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