6
Q:

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

 A) 145 B) 155 C) 165 D) 175

Explanation:

Angle traced by hour hand in 12 hrs = 360º

Angle traced by hour hand in 5 hrs 10 min. i.e $316$ hrs = $36012×3160$ = $1550$

Q:

What time will it be in 8 hours?

For exampe if it is 12:45 AM, then after 8 hours the time is

12 hrs 45 min + 8 hrs = 8 : 45 PM in the night on the same day.

1046
Q:

What time will it be in 45 minutes?

Now, if the time is 4:48 pm.

As now, the time 4 : 48 pm after 45 min it will be

4:48 + 45 min = (4 hrs : 48 + 12 min) pm + 33 min = 5 hrs : 33 min pm.

Hence, it is 5:33 pm.

1769
Q:

What time will it be 18 hours from now in India, if in the USA it is 4:15 AM?

(Hint : IST = US + 9:30 hrs)

 A) 1:45 in the afternoon B) 7:45 in the evening C) 7:45 in the next morning D) 1:45 in the next morning

Explanation:

We know that the time difference between India and USA is 9 hrs 30 min.

India is 9:30 hrs ahead of USA.

Time in India = 4:15 + 9:30 = 13:45 PM.

Required Time after 18 hrs = 13:45 + 18 hrs = 7:45 AM.

Hence it is 7:45 AM on the next morning.

8 1941
Q:

What is the ratio of 18 minutes to one hour ?

 A) 1/5 B) 3/4 C) 1/7 D) 3/10

Explanation:

One hour = 60 min

18/60 = 3/10

20 3357
Q:

The angle between the minute hand and the hour hand of a clock when the time is 4.15 is

 A) 0 B) 37.5 C) 27 D) 15

Explanation:

Angle 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

=> $30H-M5+M2$ 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

18 5355
Q:

What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ?

 A) 165 degrees B) 172.5 degrees C) 112.5 degrees D) 125.5 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.

14 6971
Q:

How many minutes does a watch lose per day, if its hands coincide every 64 minutes ?

 A) 36 7/9 min B) 32 8/11 min C) 34 3/11 min D) 65 5/11 min

Explanation:

55 min. spaces are covered in 60 min.

60 min. spaces are covered in min. = min.

Loss in 64 min. = min.

Loss in 24 hrs = min. = min.

24 5788
Q:

How many degrees will the minute hand move, in the same time in which the second hand move 4800 ?

 A) 80 deg B) 160 deg C) 140 deg D) 135 deg