At half past 2 the minute hand points towards 6 and the hour hand points towards 2(1/2) marks between 2 and 3. The angle between 3 and 6 is 90◦ and the angle 2(1/2) minutes space

= 2(1/2)*6

= 15◦

Total angle between two hands

= 90◦+15◦

= 105◦

2.

How many times from 5 a.m to p.m hands are at right angles?

At half past 8, the minute hand points towards 6 and the hour hand points towards 2(1/2) marks between 8 and 9. The angle between 6 and 8 is 60◦ and the angle 2(1/2) minute space

= 2(1/2)*6

Total angle between the two hands

= 60◦+15◦

= 75◦

4.

A bus for the sration from boring Road leaves after every half an hour. An enquiry clerk told a passanger that the last bus had left at 9.10 and the next bus leave after 15 minutes. At what time did the enquiry clerk give this information to the passenge?

The required time for the information given by enquiry clerk

= 9.10+0.15 = 9.25

5.

A man is waiting for a bus of route number 2 and 3. The bus of route number 1, passes after 5 minutes each bus of route number 2 after each 15 minutes and number 3 after each 45 minutes. But as he reaches the bus stop, a bus had just left. For atleast how long he has to wait for the bus?

A bus for Bombay leaves every 40 minutes from a bus stand. An enquiry clerk told a person that the bus had already left 10 minutes ago and the next bus will leave at 10.45 a.m At what time this information was given to the man?