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UPSC 2016 CDS I Math Paper
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© examsnet.com
Question : 43
Total: 100
A person goes to a market between 4 p.m. and 5 p.m. When he comes back, he finds that the hour hand and the minute hand of the clock have interchanged their positions. For how much time (approximately) was he out of his house?
[2016 CDS-I]
55.38 minutes
55.48 minutes
55.57 minutes
55.67 minutes
Validate
Solution:
Let the person be out of his house for t minutes.
It is given that the hour hand and minute hand had interchanged their positions.
Therefore, angle formed by the minute hand in t minutes + Angle formed by the hour hand in t minutes = 360°
⇒
6
×
t
+
1
2
t
=
360
(
Angle moved by the minute hand in 1 minute
=
6
°
Angle moved by the hour hand in 1 minute
=
(
1
2
)
°
)
⇒
6.5
t
=
360
⇒
t
=
360
6.5
=
55.38
minutes (approx.)
© examsnet.com
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