Answer the following questions in brief, fill in the blanks, and state whether the statements are true or false.

Here are the answers to your questions:

1. Answer in brief—

• a) The total number of longitudes on Earth at $1^\circ$ interval is $\boxed{360}$.
• b) The longitude of Indian Standard Time (IST) is $\boxed{82^\circ 30' \text{ E}}$.
• c) The Earth needs $\boxed{24 \text{ hours}}$ to make a complete rotation of $360^\circ$.
• d) The value in $0^\circ$ of the prime meridian passing through Greenwich is $\boxed{0^\circ}$.
• e) The unit of angular distance is $\boxed{\text{degrees } (^\circ), \text{ minutes } ('), \text{ and seconds } ('')}$.

2. Fill in the blanks—

• a) The circumference of the Earth makes an angle of $\boxed{360^\circ}$ at its centre.
• b) The measurement of the line of longitude is called $\boxed{\text{meridian}}$.
• c) The angular distance of the Prime Meridian is $\boxed{0^\circ}$ longitude.
• d) If a place remains away by $15^\circ$E from the mid-day sun, then the time at that place will be $\boxed{1}$ hrs ahead.

3. Say whether the following statements are true or false—

• a) As a result of the diurnal motion of the Earth, the western places face the sun earlier than the places in the eastern side.
  • This statement is $\boxed{\text{False}}$. Eastern places face the sun earlier.
• b) The travellers at the moment of crossing $180^\circ$ from the east have to add up a day in their time schedule.
  • This statement is $\boxed{\text{True}}$. Crossing the International Date Line from east to west means adding a day.
• c) When it is 12 mid-night in any place on Earth it indicates the end of a day and beginning of another day.
  • This statement is $\boxed{\text{True}}$.
• d) The time difference at $180^\circ$ longitude is 12 hrs.
  • This statement is $\boxed{\text{True}}$.
• e) A place where evening occurs lately than in Greenwich is located in west longitude.
  • This statement is $\boxed{\text{True}}$.