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- Question
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
- 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 - 1. 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
- 2. 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
- 3. What time between 4 and 5 o'clock will the hands of a clock be at rightangle?
Options- A. 3 5/11
- B. 4 5/11
- C. 5 5/11
- D. 6 5/11 Discuss
- 4. At what time between 5.30 and 6 will the hands of a clock be at right angles?
Options- A. (43 + 5/11) min past 5
- B. (43 + 7/11) min pats 5
- C. 5
- D. 7 Discuss
- 5. Find at what time between 8 and 9 o'clock will the hands of a clock be in the same straight line but not together ?
Options- A. 100/11 min past 8
- B. 120/11 min past 8
- C. 90/11 min past 8
- D. 80/11 min past 8 Discuss
- 6. What is the ratio of 18 minutes to one hour ?
Options- A. 1/5
- B. 3/4
- C. 1/7
- D. 3/10 Discuss
- 7. 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
- 8. 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 Discuss
- 9. 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
- 10. 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
Search Results
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: 5 5/11
Explanation:
this type of problems the formulae is
(5*x + or -15)*(12/11)
Here x is replaced by the first interval of given time
here i.e 4
Case 1 : (5*x + 15)*(12/11)
(5*4 +15)*(12/11)
(20+15)*(12/11)
35*12/11=420/11=38 2/11 min.
Therefore they are right angles at 38 2/11 min .past4
Case 2 : (5*x-15)*(12/11)
(5*4-15)*(12/11)
(20-15)*(12/11)
5*12/11=60/11 min=5 5/11min
Therefore they are right angles at 5 5/11 min.past4.
Correct Answer: (43 + 7/11) min pats 5
Explanation:
At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.
55 min. spaces are gained in 60 min
40 min. spaces are gained in min
Correct Answer: 120/11 min past 8
Explanation:
In this type of problems the formulae is
x is replaced by the first interval of given time Here i.e 8
=
min
Therefore the hands will be in the same straight line but not
together at
min.past 8.
Correct Answer: 3/10
Explanation:
One hour = 60 min
18/60 = 3/10
Correct Answer: 180º
Explanation:
Angle traced by the hour hand in 6 hours = = .
Correct Answer: 172.5 degrees
Explanation:
The 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 degrees
Next, 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.
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
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