1.
An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon?
A. 144º B. 150º
C. 168º D. 180º
Answer & Explanation
Answer: Option D
Explanation:
Angle traced by the hour hand in 6 hours = 360 x 6 º = 180º.
12
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2.
The reflex angle between the hands of a clock at 10.25 is:
A. 180º B.
192 1 º
2
C. 195º D.
197 1 º
2
Answer & Explanation
Answer: Option D
Explanation:
Angle traced by hour hand in 125 hrs = 360 x 125 º = 312 1 º .
12 12 12 2
Angle traced by minute hand in 25 min = 360 x 25 º = 150º.
60
Reflex angle = 360º – 312 1 – 150 º = 360º – 162 1 º = 197 1 .
2 2 2
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3.
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:
A. 145º B. 150º
C. 155º D. 160º
Answer & Explanation
Answer: Option C
Explanation:
Angle traced by hour hand in 12 hrs = 360º.
Angle traced by hour hand in 5 hrs 10 min. i.e., 31 hrs = 360 x 31 º = 155º.
6 12 6
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4.
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o’clock, the true time is:
A.
59 7 min. past 3
12
B. 4 p.m.
C.
58 7 min. past 3
11
D.
2 3 min. past 4
11
Answer & Explanation
Answer: Option B
Explanation:
Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = 37 hrs.
4
3 min. 5 sec. of this clock = 3 min. of the correct clock.
37 hrs of this clock = 1 hrs of the correct clock.
720 20
37 hrs of this clock = 1 x 720 x 37 hrs of the correct clock.
4 20 37 4
= 9 hrs of the correct clock.
The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.
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5.
How much does a watch lose per day, if its hands coincide every 64 minutes?
A.
32 8 min.
11
B.
36 5 min.
11
C. 90 min. D. 96 min.
Answer & Explanation
Answer: Option A
Explanation:
55 min. spaces are covered in 60 min.
60 min. spaces are covered in 60 x 60 min. = 65 5 min.
55 11
Loss in 64 min. = 65 5 – 64 = 16 min.
11 11
Loss in 24 hrs = 16 x 1 x 24 x 60 min. = 32 8 min.
11 64 11