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26 Jun 2018, 04:51
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
48% (01:41) correct
52%
(01:12)
wrong
based on 116
sessions
History
Date
Time
Result
Not Attempted Yet
What is the difference in the degree measures of the angles formed by the hour hand and the minute hand of a clock at 12:35 and 12:36?
A 1
B 5
C 5.5
D 6
E 30
A 1
B 5
C 5.5
D 6
E 30
26 Jun 2018, 05:04
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Bunuel
So there are two hands moving in this time..
1) minute hand -
Total 60 min and 360° so each minute =\(\frac{360}{60}=6\)°
Since minute hand has moved only one minute, it makes 6°
2) hour hand also moves in this time
It moved 360 in 12h as the hour hand completes 1 circle in 12 hour, so \(\frac{360}{12}=30\)° in 1 hour
If it moves 30° in 1 hour or 60 min, it will move \(\frac{30}{60}\) or 0.5° in 1 min..
Therefore difference= \(6-0.5=5.5\)
C
General Discussion
26 Jun 2018, 05:09
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Solution
To find:
- • The difference in the degree measures of the angles formed by the hour hand and the minute hand of a clock at 12:35 and 12:36
Approach and Working:
The minute hand completes a movement of 360° in 60 minutes
- • Therefore, in 1 minute, it will cover \(\frac{360°}{60}\) = 6°
The hour hand completes a movement of 360° in 12 hours or 720 minutes
- • Therefore, in 1 minute, it will cover \(\frac{360°}{720}\) = 0.5°
• Hence, the difference between angles = 6° - 0.5° = 5.5°
Hence, the correct answer is option C.
Answer: C
