Clock Puzzles problems
- 1. At what time between 2 and 3 O'clock, the hands of a clock coincide ?
Options- A. 1 10/11 minutes past 2
- B. 1 10/11 minutes past 3
- C. 1 11/10 minutes past 3
- D. 11 10/11 minutes past 2 Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 1 10/11 minutes past 2
Explanation:
Since, in one hour, two hands of a clock coincide only once, so, there will be value.
Required time
minutes past H.
Here H - initial position of hour hand = 2 (since 2 O'clock)
A° = Required angle = 0° (Since it coincides)
minutes past 2
=> minutes past 2
- 2. The reflex angle between the hands of a clock at 11:35 is ?
Options- A. 137.5 degrees
- B. 222.5 degrees
- C. 192.5 degrees
- D. 330 degrees Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 222.5 degrees
Explanation:
Apply the formula for finding the angle:
Angle=(30h-(11/2)m( where m stands for minutes and h stands for hours)
Hence, 30x11 - 11/2x35 = 330 - 192.5 = 137.5 degrees
The reflex angle = 360 - 192.5 degree = 222.5 degrees.
- 3. A clock is started at 11 a.m. By 600 seconds past 6 p.m, the hour hand has turned through ?
Options- A. 155 degrees
- B. 175 degrees
- C. 205 degrees
- D. 215 degrees Also asked in: Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO
Correct Answer: 215 degrees
Explanation:
The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes.
We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º.
Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand.
- 4. There is a clock which shows false timing ie it shows 20 minutes less for each 1 hour. If the clock shows 12 noon now how many minutes will be lost when it shows 2 pm ?
Options- A. 36 minutes
- B. 48 minutes
- C. 35 minutes
- D. 60 minutes Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 60 minutes
Explanation:
For 1 hour, 20 minutes is slower, then for
06 miuntes - 2 minutes is slower
30 minutes - 10 minutes
Actual time | false time
12 12
01 PM 12:40 PM (20 minutes slower)
02 PM 01:20 PM
03 PM 02:00 PM
So, when actual time is 3pm, the false time is 2 pm.
So, it loses 60 minutes when it shows 2 pm.
- 5. How many minutes is it until 6 o'clock if 50 minutes ago it was 4 times as many minutes past 3 o'clock ?
Options- A. 26 min
- B. 24 min
- C. 22 min
- D. 20 min Also asked in: Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 26 min
Explanation:
Let the required number of minutes = M
Total minutes between 3o'clock and 6o' clock = 180 minutes
M + 50 + 4M = 180
5M + 50 = 180
5M = 130
M = 26 minutes.
- 6. If a Siren sounds for every 5 seconds, how many times will it sound in ¾ of an hour?
Options- A. 541 times
- B. 540 times
- C. 450 times
- D. 275 times Also asked in: GRE, GATE, CAT, Bank Exams, Project Manager, IT Trainer, Bank PO, Bank Clerk
Correct Answer: 541 times
Explanation:
There are 60 minutes in an hour.
In ¾ of an hour there are (60 × ¾) minutes = 45 minutes.
In ¾ of an hour there are (60 × 45) seconds = 2700 seconds.
Siren sounds for every 5 seconds.
In 2700 seconds = 2700/5 = 540 times.
The count start after the first sound, the Siren will sound 541 times in ¾ of an hour.
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