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- Question
How many times do the hands of a clock coincide in a day?
Options- A. 20
- B. 21
- C. 22
- D. 23
- Correct Answer
- 22
ExplanationThe hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they
coincide only once, i.e., at 12 o'clock).The hands overlap about every 65 minutes, not every 60 minutes.
The hands coincide 22 times in a day. - 1. At what time between 3 and 4 o?clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ?
Options- A. 3:15 2/8
- B. 3:49
- C. 3:49 1/11
- D. 3:51 Discuss
- 2. At 6?o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12?o clock ?
Options- A. 66 sec
- B. 55 sec
- C. 36 sec
- D. 24 sec Discuss
- 3. The angle between the minute hand and the hour hand of a clock when the time is 4.15 is
Options- A. 0
- B. 37.5
- C. 27
- D. 15 Discuss
- 4. At what time, between 3 o?clock and 4 o?clock, both the hour hand and minute hand coincide each other ?
Options- A. 3:16 7/11
- B. 3:16 11/4
- C. 3:30
- D. 3:16 4/11 Discuss
- 5. How many degrees will the minute hand move, in the same time in which the second hand move 5400 ?
Options- A. 90 degrees
- B. 85 degrees
- C. 60 degrees
- D. 45 degrees Discuss
- 6. In every 60 minutes, the minute hand gains -------- minutes on the hour hand
Options- A. 53
- B. 54
- C. 55
- D. 56 Discuss
- 7. The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:
Options- A. 0
- B. 10
- C. 30
- D. 60 Discuss
- 8. What time will it be 18 hours from now in India, if in the USA it is 4:15 AM? (Hint : IST = US + 9:30 hrs)
Options- A. 1:45 in the afternoon
- B. 7:45 in the evening
- C. 7:45 in the next morning
- D. 1:45 in the next morning Discuss
- 9. At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other? A. 5111 B. 15415 C. 16411 D. 4415
Options- A. Option A
- B. Option B
- C. Option C
- D. Option D Discuss
- 10. When the hands are in the opposite directions,they are ------- minute spaces apart,
Options- A. 15
- B. 30
- C. 60
- D. 0 Discuss
Search Results
Correct Answer: 3:49 1/11
Explanation:
On straight line means 180 degree angle.
180 = 11/2 min ? 30 hrs
180 = 11/2 m ? 30 × 3
180 = 11/2 m ? 90
(180 + 90) 2 = 11 m
m = 540/11 = 49 1/11 minutes.
Correct Answer: 66 sec
Explanation:
For ticking 6 times, there are 5 intervals.
Each interval has time duration of 30/5 = 6 secs
At 12 o'clock, there are 11 intervals,
so total time for 11 intervals = 11 x 6 = 66 secs.
Correct Answer: 37.5
Explanation:
Angle between hands of a clock
When the minute hand is behind the hour hand, the angle between the two hands at M minutes past H 'o clock
=> degrees
Here H = 4, M = 15 and the minute hand is behind the hour hand.
Hence the angle
= 30[4-(15/5)]+15/2 = 30(1)+7.5 = 37.5 degrees
Correct Answer: 3:16 4/11
Explanation:
Coincide means 00 angle.
This can be calculated using the formulafor time A to B means [11m/2 - 30 (A)]
Here m gives minutes after A the both hands coincides.
Here A = 3, B = 4
0 =11m/2 ?30 × 3
11m = 90 × 2 = 180
m= 180/11 = 16 4/11
So time = 3 : 16 4/11
Correct Answer: 90 degrees
Explanation:
Minute hand covers 5400/60 = 90°
Correct Answer: 55
Explanation:
point to be remembered
Correct Answer: 10
Explanation:
Angle traced by hour hand in hrs = =
Angle traced by min. hand in 20 min = =
Required angle = (130 - 120)º = 10º
Correct Answer: 7:45 in the next morning
Explanation:
We know that the time difference between India and USA is 9 hrs 30 min.
India is 9:30 hrs ahead of USA.
Time in India = 4:15 + 9:30 = 13:45 PM.
Required Time after 18 hrs = 13:45 + 18 hrs = 7:45 AM.
Hence it is 7:45 AM on the next morning.
Correct Answer: Option C
Explanation:
At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.
To be coincident, it must gain 15 min. spaces.
55 min. are gained in 60 min.
Then 15 min spaces are gained in = min.
Therefore, The hands are coincident at min. past 3 o'clock.
Correct Answer: 30
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