11.
How many times are the hands of a clock at right angle in a day?
A. 22 B. 24
C. 44 D. 48
Answer & Explanation
Answer: Option C
Explanation:
In 12 hours, they are at right angles 22 times.
In 24 hours, they are at right angles 44 times.
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12.
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:
A. 80º B. 75º
C. 60º D. 105º
Answer & Explanation
Answer: Option B
Explanation:
Angle traced by hour hand in 17 hrs = 360 x 17 º = 255.
2 12 2
Angle traced by min. hand in 30 min. = 360 x 30 º = 180.
60
Required angle = (255 – 180)º = 75º.
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13.
How many times in a day, are the hands of a clock in straight line but opposite in direction?
A. 20 B. 22
C. 24 D. 48
Answer & Explanation
Answer: Option B
Explanation:
The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o’clcok only).
So, in a day, the hands point in the opposite directions 22 times.
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14.
At what time between 4 and 5 o’clock will the hands of a watch point in opposite directions?
A. 45 min. past 4 B. 40 min. past 4
C.
50 4 min. past 4
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D.
54 6 min. past 4
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Answer & Explanation
Answer: Option D
Explanation:
At 4 o’clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min.
50 min. spaces are gained in 60 x 50 min. or 54 6 min.
55 11
Required time = 54 6 min. past 4.
11
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15.
At what time between 9 and 10 o’clock will the hands of a watch be together?
A. 45 min. past 9 B. 50 min. past 9
C.
49 1 min. past 9
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D.
48 2 min. past 9
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Answer & Explanation
Answer: Option C
Explanation:
To be together between 9 and 10 o’clock, the minute hand has to gain 45 min. spaces.
55 min. spaces gained in 60 min.
45 min. spaces are gained in 60 x 45 min or 49 1 min.
55 11
The hands are together at 49 1 min. past 9.
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