Clocks and Calendars
- The number of times in a day the hour hand and the minute hand of a clock are at right angles, is ?
-
View Hint View Answer Discuss in Forum
In every hour the hand of clock are right angles 2 times.
Correct Option: B
In every hour the hand of clock are right angles 2 times, so in a days i.e., 24 h they will be at right angle 48 times.
- If the first day of June is Saturday, them the date on which the last Saturday of that month falls, is ?
-
View Hint View Answer Discuss in Forum
If the first Saturday of June is in lst. Then, next Saturday will be on 8th, 15th , 22nd and 29th.
Correct Option: C
If the first Saturday of June is in lst. Then, next Saturday will be on 8th, 15th , 22nd and 29th. So , last Saturday will be on 29th.
- At what time between 1 and 2 O' clock are the hands of a clock together ?
-
View Hint View Answer Discuss in Forum
At 1 O' clock the the hour hand is at 1 and the minute hand is at 12.
Thus, they are 5 min spaces apart.
To be together, the minute hand must gain 5 min over the hour hand .
Correct Option: A
At 1 O' clock the the hour hand is at 1 and the minute hand is at 12.
Thus, they are 5 min spaces apart.
To be together, the minute hand must gain 5 min over the hour hand .
55 min are gained by minute hand in 60 min.
5 min will be gained by it in = (60/55 x 5 ) = 60/11 = 55/11 min
Hence, the hands will coincide at 55/11 min past 1 .
- How much does a watch lose per day , if its hands coincide every 64 min ?
-
View Hint View Answer Discuss in Forum
Normally, hands of a watch coincide after 655/11 min.
Correct Option: C
Normally, hands of a watch coincide after 655/11 min.
So, loss per hour = 15/11 min
∴ Loss per day = 24 x 15/11 = 24 x 16/11
= 3410/11 min
- The last day of year, 2006 was ?
-
View Hint View Answer Discuss in Forum
Last two digits of year : 06
Divided by 4 :01
Date: 31 (last day will be 31st Dec)
Month code : 6
Final value : 44
On dividing by 7, we get 2 as remainder. As year is between 2000 - 2099, so 1 has to be subtracted, now the result
= 2 - 1 = 1
1 is the day code for Sunday.Correct Option: B
Last two digits of year : 06
Divided by 4 :01
Date: 31 (last day will be 31st Dec)
Month code : 6
Final value : 44
On dividing by 7, we get 2 as remainder. As year is between 2000 - 2099, so 1 has to be subtracted, now the result
= 2 - 1 = 1
1 is the day code for Sunday.