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- Question
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
- Correct Answer
- 37.5
ExplanationAngle 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
- 1. 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
- 2. 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
- 3. How many times are the hands of a clock at right angle in a day?
Options- A. 44
- B. 54
- C. 64
- D. 22 Discuss
- 4. How many degrees will the minute hand move, in the same time in which the second hand move 4800 ?
Options- A. 80 deg
- B. 160 deg
- C. 140 deg
- D. 135 deg Discuss
- 5. In 16 minutes, the minute hand gains over the hour hand by -
Options- A. 16 deg
- B. 80 deg
- C. 88 deg
- D. 94 deg Discuss
- 6. 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
- 7. 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
- 8. How many times do the hands of a clock coincide in a day?
Options- A. 20
- B. 21
- C. 22
- D. 23 Discuss
- 9. In every 60 minutes, the minute hand gains -------- minutes on the hour hand
Options- A. 53
- B. 54
- C. 55
- D. 56 Discuss
- 10. 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
Search Results
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: 44
Correct Answer: 80 deg
Explanation:
As minute hand covers, 60 degrees
Minute hand covers 4800/60 = 80°
Correct Answer: 88 deg
Explanation:
In one hour, the minute hand gains 330° over the hour hand. i.e., 60 minutes, the minute hand gains 330° over the hour hand. ∴ In 16 minutes, the minute hand gain over the hour hand by fraction numerator 330 degrees over denominator 60 end fraction cross times 16 degree equals 88 degree
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: 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: 22
Explanation:
The 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.
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
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