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- Question
What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ?
Options- A. 165 degrees
- B. 172.5 degrees
- C. 112.5 degrees
- D. 125.5 degrees
- Correct Answer
- 172.5 degrees
ExplanationThe minute hand angle is the easiest since an hour (i.e. 60 minutes) corresponds to the entire 360 degrees, each minute must correspond to 6 degrees. So just multiply the number of minutes in the time by 6 to get the number of degrees for the minute hand.
Here 15 minutes corresponds to 15 x 6 = 90 degreesNext, you have to figure out the angle of the hour hand. Since there are 12 hours in the entire 360 degrees, each hour corresponds to 30 degrees. But unless the time is EXACTLY something o'clock, you have to write the time as a fractional number of hours rather than as hours and minutes.
Here the time is 9:15 which is (9 + 15/60) = 37/4 hours. Since each hour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees.Since the hour hand is at 277.5 degrees and the minute hand is at 90 degrees, we can subtract to get the angle of separation. 277.5 - 90 = 187.5 =~ 360 - 187.5 = 172.5 degrees.
- 1. An accurate clock shows 7 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?
Options- A. 144º
- B. 168º
- C. 180º
- D. 150º Discuss
- 2. What is the ratio of 18 minutes to one hour ?
Options- A. 1/5
- B. 3/4
- C. 1/7
- D. 3/10 Discuss
- 3. How many minutes does a watch lose per day, if its hands coincide every 64 minutes ?
Options- A. 36 7/9 min
- B. 32 8/11 min
- C. 34 3/11 min
- D. 65 5/11 min Discuss
- 4. A watch gains 5 seconds in 3 minutes and was set right at 8 AM. What time will it show at 10 PM on the same day ?
Options- A. 10 : 27 : 41 AM
- B. 8 : 51 : 04 AM
- C. 9 : 45 : 15 PM
- D. 10 : 23 : 20 PM Discuss
- 5. A watch which gains uniformly is 2 minutes low at noon on monday and is 4 min.48 sec fast at 2 p.m on the following monday. when was it correct ?
Options- A. 2 p.m on Tuesday
- B. 2 p.m on Wednesday
- C. 3 p.m on Thursday
- D. 1 p.m on Friday Discuss
- 6. At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
Options- A. 11 4/11
- B. 13 4/11
- C. 15 4/11
- D. 16 4/11 Discuss
- 7. At what time between 9 and 10 o'clock will the hands of a watch be together?
Options- A. (49 + 3/11) min past 11
- B. (49 +1/11) min past 9
- C. (45 +1/11) min past 9
- D. (45 +7/11) min past 11 Discuss
- 8. 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
- 9. 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
- 10. 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
Search Results
Correct Answer: 180º
Explanation:
Angle traced by the hour hand in 6 hours = = .
Correct Answer: 3/10
Explanation:
One hour = 60 min
18/60 = 3/10
Correct Answer: 32 8/11 min
Explanation:
55 min. spaces are covered in 60 min. 60 min. spaces are covered in (60x60/55)min. Loss in 64 min. = ((65x5/11) - 64) = 16/11 min. Loss in 24 hrs = (16x1x 24 x 60)/(11x64) min. = 32 8/11 min
Correct Answer: 10 : 23 : 20 PM
Explanation:
The watch gains 5 seconds in 3 minutes = 100 seconds in 1 hour.
From 8 AM to 10 PM on the same day, time passed is 14 hours.
In 14 hours, the watch would have gained 1400 seconds or 23 minutes 20 seconds.
So, when the correct time is 10 PM, the watch would show 10 : 23 : 20 PM
Correct Answer: 2 p.m on Wednesday
Explanation:
Time from 12 p.m on monday to 2 p.m on the following monday = 7 days 2 hours = 170 hours
Therefore, The watch gains min. or 34/5 min. in 170 hrs.
Now, 34/5 min. are gained in 170 hrs.
Therefore, 2 min are gained in hrs = 50 hrs
Therefore, Watch is correct 2 days 2 hrs. after 12 p.m on monday i.e it will be correct at 2 p.m on wednesday.
Correct Answer: 16 4/11
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.
15 min. are gained in
= (60/55 x 15)min
=16+4/11
The hands are coincident at 16 + 4/11 min past 3
Correct Answer: (49 +1/11) min past 9
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 min or min
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: 80 deg
Explanation:
As minute hand covers, 60 degrees
Minute hand covers 4800/60 = 80°
Correct Answer: 44
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